env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 下面是几个布尔表达式：
A. (not (((八月有28天。) and ((19 * -3) >= (-11 * 13))) or ((木星是距离太阳第2近的行星。) and ((4 ** 2) <= (-6 * -3) <= (14 + 3))))) or ((not not (((4 ** 1) == (1 ** 1)) and (氧气对人类生存是必需的。))) or (((6 * -7 + 3 * 7) >= (2 ** 1)) or ((铜在常温下是固体。) or (肯尼亚位于非洲。))))
B. not (((not not (鲨鱼是爬行动物。)) or (((-9 + 9) >= (33 % 7)) and (25的平... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 17270901,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (not (((八月有28天。) and ((19 * -3) >= (-11 * 13))) or ((木星是距离太阳第2近... |
logic-v2 | Evaluate each expression below:
A. ((The chemical symbol for Carbon is He.) or (not ((13 * 19) < (5 - 18))) or ((((-11 * -7) <= (-10 * -2 - -3 * -9)) and ((3 - -5) > (-12 - -7))) or (not ((-2 + -2) != (2 + -1))))) or (China is in Asia.) or (not (The chemical symbol for Oxygen is O.))
B. ((not (not not (The chemical sy... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 41823101,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. ((The chemical symbol for Carbon is He.) or... |
logic-v2 | 评估以下每个表达式：
A. not not ((印度的货币是卢比。) or (not (青蛙有0条腿。)))
B. not not ((not ((28 % 1) == (-1 * -3))) and (((14 + -10) <= (-12 * -17) <= (-6 * 4 - -5 * -1)) and ((-5 * -10) < (-9 * 3))))
C. ((((-12 + -7) < (18 - 4)) or (2020年是闰年。)) or (太平洋是最大的海洋。)) and (not (((5 * -2 * 6 * -2) != (20 * -19)) and ((-10 + 7) <= (-7 * -2 - -6... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 51287566,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not ((印度的货币是卢比。) or (not (青蛙有0条腿。)))\nB. not not ((not ((28 % ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not not (((青蛙有8条腿。) and ((氧的化学符号是O。) and ((17 * 7) == (17 + -16)))) or (((氦的化学符号是He。) or (泰坦尼克号沉没发生在1913年。)) and ((6 % 6) <= (3 * 0 * 5 * 1))))) or (((not not ((兔子是哺乳动物。) or ((-4 - -12) == (15 - 3)))) and ((15 - 6) > (-7 - -6))) or (not (((550是斐波那契数。) or (1964年奥运会在东京举办。)) or (((-6 * -4) <= (1... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 81402608,
"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 (((青蛙有8条腿。) and ((氧的化学符号是O。) and ((17 * 7)... |
logic-v2 | Examine these expressions:
A. not not (not (((not not (Wood is a liquid at room temperature.)) and ((3 ** 3) > (0 * -8 + -2 * 10))) or (((-7 + 19) == (-9 + -6)) and (75 is a prime number.)) or (not not (A duck has 2 legs.))))
B. not ((not ((((3 + -5) >= (-20 - 3)) and ((-15 - 17) > (11 * 14))) and ((Russia is in Europ... | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 66980588,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not (not (((not not (Wood is a liquid at roo... |
logic-v2 | 分析以下逻辑表达式：
A. not not (not ((not (((水星是距离太阳第1近的行星。) and (地球是距离太阳第2近的行星。)) or ((16 % 5) == (-2 * 9 - 4 * 1)))) and (((9 * -1 - 7 * -1) >= (-5 * 14)) and ((印度尼西亚位于亚洲。) or (马有4条腿。)) and (not (((5 ** 2) > (1 ** 1)) or ((10 - 8) > (15 % 1)))))))
B. not (not not (((not (((-7 - -10) > (7 - 4)) and ((34 % 5) == (3 ** 2)))) an... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 38281468,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not (not ((not (((水星是距离太阳第1近的行星。) and (地球是距离太阳第2近的行星。)) or (... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (((not (地球绕太阳运转。)) or ((((8 * 8 * 10 * -3) != (7 - -14)) and (美国位于南美洲。)) or ((柏林墙倒塌发生在1989年。) and ((49 % 4) != (7 * 4 + -8 * -8))))) or (((美国宣布独立发生在1776年。) and (((-13 - -20) < (3 * 9 - -2 * -6)) and ((15 * -12) <= (19 * 15)))) and (人类有100条腿。) and ((not ((-4 - -16) > (-5 + 5))) or (人体有150块骨头... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 45920517,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (((not (地球绕太阳运转。)) or ((((8 * 8 * 10 * -3) != (7... |
logic-v2 | 评估以下每个表达式：
A. (磷的化学符号是Au。) or ((印度位于亚洲。) or (not (十一月有30天。)))
B. ((0 + -9) != (-13 + -20)) and ((2 ** 3) >= (6 * -4 + 5 * 7))
C. not not (((木星是距离太阳第1近的行星。) or (韩国的货币是林吉特。)) or (蜘蛛有8条腿。))
D. not not (((沙特阿拉伯的货币是福林。) and (汞的化学符号是C。)) and ((24 % 5) < (17 + -12)))
E. (((天王星是距离太阳第2近的行星。) and ((6 * -2 + 6 * -4) < (4 - 2))) ... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 68093650,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (磷的化学符号是Au。) or ((印度位于亚洲。) or (not (十一月有30天。)))\nB. ((0 + -9) ... |
logic-v2 | 下面是几个布尔表达式：
A. not not ((龙虾有10条腿。) or ((7 * 14) > (-8 + -6)))
B. 1960年奥运会在罗马举办。
C. (((-2 + -3) == (27 % 7)) or ((5 ** 2) != (-6 + -3))) or (哥伦布到达美洲发生在1490年。)
D. not (not not ((-3 - -19) != (-8 * -6 * -7 * -6)))
E. not not ((瑞典的首都是斯德哥尔摩。) and (印度的货币是卢比。))
F. (not not ((5 - -18) < (-9 * -7 - -8 * 9) < (6 - -19))) or (no... | {
"game_data": {
"answer": "A,B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 14907475,
"true_count": 5
},
"question": "下面是几个布尔表达式：\n\nA. not not ((龙虾有10条腿。) or ((7 * 14) > (-8 + -6)))\nB. 1960年奥... |
logic-v2 | 审视以下逻辑表达式：
A. (((((21 % 7) <= (0 * -19) <= (1 ** 1)) or (油在常温下是气体。)) and ((-1 - 6) < (7 * -9 - 8 * 6))) and ((1 ** 2) == (0 + -4))) or ((((氧的化学符号是P。) and (龙虾有10条腿。)) and (not not ((-20 - 11) == (0 * -6)))) and (1952年奥运会在罗马举办。) and ((2 ** 3) < (7 + -9)))
B. (not ((not not ((50 % 6) < (2 ** 2) < (3 ** 3))) or (意大利的首都是罗马... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 47216038,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. (((((21 % 7) <= (0 * -19) <= (1 ** 1)) or (油在常温下是气体。)) and (... |
logic-v2 | Examine these expressions:
A. (((9 - 14) <= (15 + -14)) or (not not (not not ((23 % 4) < (50 % 7))))) and ((((15 - -20) >= (-8 * -8 * 8 * -4)) and (Mars is the closest planet to the Sun.)) and ((not not (The capital of Denmark is Caracas.)) and ((A octopus has 8 legs.) and (Egypt is in Europe.))))
B. not ((The chemica... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 59358538,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. (((9 - 14) <= (15 + -14)) or (not not (not not ((2... |
logic-v2 | 分析以下逻辑表达式：
A. ((((((10 * 7) < (17 + 0)) or (人体有150块骨头。)) or (((44 % 5) != (-10 + 15)) and (龙虾有8条腿。))) and (((现代奥运会首届举办发生在1886年。) or ((-2 + -4) > (8 * 2 * 0 * -9))) or ((巴西位于南美洲。) or (第一次世界大战开始发生在1914年。)))) or ((中国位于亚洲。) and ((not not ((19 + 11) > (26 % 8))) and ((-9 * -8) <= (0 * 7 + 4 * 0))))) and (((47能被5整除。) and (德... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 25861812,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. ((((((10 * 7) < (17 + 0)) or (人体有150块骨头。)) or (((44 % 5) != (-10 +... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((((中国的货币是克朗。) and (地球绕太阳运转。)) or ((3 ** 3) > (0 - 8))) or ((((秘鲁的货币是卢比。) and ((13 % 3) > (9 * 10 * 6 * 3))) or (人类只使用了大脑的10%。)) and (not ((火星是距离太阳最近的行星。) or (印度的首都是新德里。))))) or (((14 - -10) != (-14 * 6)) and (not ((15 + -15) >= (19 * 11))) and ((-16 + -16) <= (8 % 1) <= (2 ** 1))) or ((((19 + 1... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 87179728,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not not (((((中国的货币是克朗。) and (地球绕太阳运转。)) or ((3 ** 3) > (0 - 8)))... |
logic-v2 | Analyze these boolean expressions:
A. (Bats are blind.) and (((3 + -17) <= (5 % 7)) and (Uranus is the 7th planet from the Sun.))
B. The capital of Austria is Kuala Lumpur.
C. (96 is divisible by 12.) or (not (A bird has 2 legs.))
D. (-8 + -11) > (-1 * 7 - -6 * 6)
E. ((The 1956 Olympics were held in Melbourne.) or (Th... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 71621687,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (Bats are blind.) and (((3 + -17) <= (... |
logic-v2 | 分析以下逻辑表达式：
A. (((-8 * -7 * -9 * -6) >= (-5 * -1 * -7 * 0)) or (三月有29天。)) or ((14 % 9) >= (12 - 9)) or (((12 + 11) <= (11 + 17)) and ((5 + 15) >= (6 * -7 + 4 * -9)))
B. (((-16 * 10) < (-3 * 4)) and (((11 % 4) <= (-1 * -9 + 7 * 1)) and ((5 * 3 * -2 * 7) >= (2 * 10 - 0 * 7))) and (not not (not ((9 * 9 - -9 * 6) == (17 + ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 42389862,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. (((-8 * -7 * -9 * -6) >= (-5 * -1 * -7 * 0)) or (三月有29天。)) or ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not ((7 * 2 + -6 * 4) <= (8 * 7 + 0 * -9))) or ((3 ** 2) != (1 * 9 + -3 * 2))) and ((5 ** 2) < (-19 * -7) < (40 % 8))
B. ((not (The capital of Ukraine is Tokyo.)) and ((Plants produce oxygen through photosynthesis.) or (The 1912 Olympic... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 54943188,
"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. (((-7 * 6 - 10 * 4) >= (2 + -10)) and ((1 * 7 - 6 * -1) != (-5 - -10))) or ((埃及的货币是克朗。) or ((10 - -18) == (3 % 9)))
B. ((镍的化学符号是Pb。) or (2052年是闰年。)) and (钙的化学符号是Mn。)
C. (not not (硫的化学符号是Na。)) and (((6 - 2) >= (7 * 9)) and (土星是距离太阳第6近的行星。))
D. (((4 ** 2) <= (0 - -16) <= (1 ** 1)) or (苏联解体发生在1991年。)) and ... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 96795345,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (((-7 * 6 - 10 * 4) >= (2 + -10)) and ((1 * 7 - 6 * -1) != (-5 - ... |
logic-v2 | Consider the following logical expressions:
A. not (not ((The 1924 Olympics were held in Paris.) and (There are 29 days in May.)))
B. (not ((Colombia is in South America.) or (not ((15 % 1) == (4 * -4 + -6 * 10))))) and (not (not not ((The currency of New Zealand is the Pound.) or (not not ((-8 - -13) > (-11 - 14)))))... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 25647596,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not (not ((The 1924 Olympics were... |
logic-v2 | Study the following logical statements:
A. (not not ((9 + 13) == (17 * -4))) and (((World War II began occurred in 1939.) or ((2 ** 1) <= (-18 + 7) <= (-10 - -4))) and (There are 30 days in November.)) and (((2 ** 2) > (-17 + 18)) and (not not ((The 1904 Olympics were held in Atlanta.) and (409 is a Fibonacci number.)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 46016476,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (not not ((9 + 13) == (17 * -4))) and... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (新加坡的货币是新西兰元。) or (蚂蚁是昆虫。)
B. not not ((not (十月有29天。)) or (not (哥伦比亚位于南美洲。)))
C. ((((-7 * -10 - -2 * 9) <= (2 ** 3) <= (4 * 1 + 4 * -2)) or (氮气在常温下是气体。)) or (澳大利亚位于大洋洲。)) or ((7 % 2) <= (18 * -11)) or ((二氧化碳在常温下是气体。) and (not ((19 + -16) < (8 * 11))))
找出所有为 True 的表达式。在 \boxed{} 中给出答案，用逗号分隔。 | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 79105662,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (新加坡的货币是新西兰元。) or (蚂蚁是昆虫。)\nB. not not ((not (十月有29天。)) ... |
logic-v2 | Examine these expressions:
A. ((((A octopus has 8 legs.) or ((2 - -3) >= (-11 + 8))) or (not (A bird has 10 legs.))) or (not (((-17 - 4) == (2 ** 1)) and (Jupiter is the 5th planet from the Sun.)))) and ((The 1904 Olympics were held in St. Louis.) or ((-8 * -7 - 3 * 6) > (-7 - -13))) and (not (not ((5 - 17) < (41 % 7)... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 44155134,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. ((((A octopus has 8 legs.) or ((2 - -3) >= (-1... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 俄罗斯位于非洲。
B. ((149是偶数。) or ((8 * 7 - 9 * -9) != (1 ** 1))) or ((水在常温下是固体。) or ((13 + -14) <= (-11 * -4)))
C. (((26 % 1) >= (2 % 6)) or ((2 + -12) == (10 * 19))) or (2020年奥运会在东京举办。)
D. ((121的平方根是3。) or ((38 % 10) <= (-6 - -11))) or (狮子是哺乳动物。)
E. (not not (新加坡的货币是比索。)) and ((1984年奥运会在墨西哥城举办。) and ((5 ... | {
"game_data": {
"answer": "B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 79100778,
"true_count": 5
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 俄罗斯位于非洲。\nB. ((149是偶数。) or ((8 * 7 - 9 * -9) != (1 *... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not ((The Berlin Wall fell occurred in 1989.) or (The square root of 100 is 3.))) and (not ((The chemical symbol for Aluminum is Ne.) and ((2 - -7) <= (20 * -7))))
B. (((-19 - -10) > (19 * -7)) or (Jupiter is the 5th planet from the Sun.)) and ((-8 + 10) < (-19 + 14))... | {
"game_data": {
"answer": "E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 38705952,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not ((The Berlin Wall f... |
logic-v2 | Study the following logical statements:
A. not ((-6 * -2 - 3 * -6) >= (6 * -3 + -9 * -10))
B. ((not not ((39 % 7) < (-8 * 1 * -7 * -2))) or (A ant has 10 legs.)) or ((2 ** 3) <= (-7 * 19)) or ((20 + 19) == (4 ** 1))
C. (not ((-4 - -4) > (34 % 3))) and ((not ((-14 * -5) < (16 + -7))) or (((13 + -16) > (5 - 0)) and ((12... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 87390607,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not ((-6 * -2 - 3 * -6) >= (6 * -3 ... |
logic-v2 | 给定以下布尔表达式：
A. ((6 * 4 * -4 * 7) <= (-12 * -3) <= (5 * -4)) or ((-17 - -8) > (-13 + -1))
B. ((((-9 - -11) < (-5 + 16)) or (1984年奥运会在洛杉矶举办。)) and ((1988年奥运会在巴黎举办。) or (秘鲁的货币是索尔。))) or ((氧的化学符号是Au。) or (英国位于欧洲。)) or (((太阳绕地球运转。) and (以色列的货币是比索。)) and ((鸟有2条腿。) and ((10 * -17) < (12 % 5))))
C. (((9 - -20) > (-11 - 18)) an... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 4177718,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((6 * 4 * -4 * 7) <= (-12 * -3) <= (5 * -4)) or ((-17 - -8) > (... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((The currency of Japan is the Yen.) or (((5 * -10) != (-6 - 7)) and ((8 * 4) < (-1 * -2 + 2 * -1) < (-3 * -5 - -5 * 6))))
B. ((-14 + 16) != (-13 - 20)) or (((Nitrogen is a gas at room temperature.) and ((0 * 17) != (1 ** 2))) or (((1 ** 1) > (4 ** 2)) or ((-1 ... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 23635823,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((The currency o... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((The chemical symbol for Aluminum is He.) or ((Ice is a solid at room temperature.) and ((2 * -7) <= (-3 + -14))))
B. ((1903 is a leap year.) and ((The first Olympic Games of modern era occurred in 1896.) or (The 1896 Olympics we... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 38477225,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Evaluate each expression below:
A. (-2 * -7) < (9 * -20) < (6 * 5)
B. not not ((-20 + -14) >= (-5 * 6))
C. (13 * 3) > (-9 * 9)
D. (21 % 3) <= (-13 - -5) <= (5 ** 2)
E. (-13 - -3) <= (-10 - 3)
F. (((17 * -9) < (2 * -9 * -5 * 5)) or (1998 is a leap year.)) and (((-3 - -16) >= (-9 * -6 - -1 * -2)) or (2052 is a leap year... | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 21740124,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (-2 * -7) < (9 * -20) < (6 * 5)\nB. not not... |
logic-v2 | 研究以下逻辑语句：
A. (((((6 + -17) == (9 * -8 - 3 * 5)) or ((4 + -9) >= (-8 * 1 * 6 * -7))) and (俄罗斯的货币是卢布。)) and ((0 * -1 - 8 * -2) >= (-9 * -10 * 0 * 8)) and (((新西兰位于大洋洲。) or (钴的化学符号是C。)) or (((4 * -3 - -9 * 2) != (-1 * -11)) and ((-18 - 2) >= (5 ** 2))))) or ((澳大利亚位于北美洲。) or (not (1902年是闰年。)) or ((-9 * -7 - 7 * 4) < (12 + ... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 18504612,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (((((6 + -17) == (9 * -8 - 3 * 5)) or ((4 + -9) >= (-8 * 1 * 6 ... |
logic-v2 | 考虑以下布尔表达式：
A. 韩国的货币是韩元。
B. 越南的首都是河内。
C. (18 - -8) < (1 * -2 - 10 * -2) < (8 % 1)
D. (((18 - 1) >= (7 * -4)) and (1961年是闰年。)) and ((越南位于亚洲。) and (地球上一天是24小时。))
E. (4 * 9 + 3 * -1) > (3 * -8 * -1 * 2)
F. not (((15 + -12) <= (9 * 3 - 6 * 5) <= (-3 * 6)) or ((-4 - -6) <= (17 * -20) <= (11 + 14)))
G. 三月有31天。
哪些表达式的值为 True... | {
"game_data": {
"answer": "A,B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 97287918,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. 韩国的货币是韩元。\nB. 越南的首都是河内。\nC. (18 - -8) < (1 * -2 - 10 * -2) <... |
logic-v2 | Consider the following logical expressions:
A. ((Alcohol is a solid at room temperature.) and ((Saturn is the 6th planet from the Sun.) and (not ((2 * -5 - 0 * -5) <= (32 % 2) <= (40 % 6))))) or (not (((The currency of Norway is the Krona.) and (United Kingdom is in Europe.)) or (((-16 - 3) != (44 % 6)) or ((7 + 2) < ... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 11577207,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. ((Alcohol is a solid at room ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((((((-4 * 15) <= (12 * 20)) or (氯的化学符号是Cl。)) and (麻雀是昆虫。)) or ((俄罗斯的货币是里拉。) and (((-7 - 16) <= (35 % 4)) and (银在常温下是气体。)))) or (not not (1972年奥运会在伦敦举办。))) and (not not ((1988年奥运会在首尔举办。) and (阿根廷位于南美洲。))) and (((油在常温下是固体。) and ((第一次世界大战结束发生在1918年。) and ((哥伦比亚的货币是韩元。) or (2066年是闰年。)))) and ((n... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 5171404,
"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. (((((((-4 * 15) <= (12 * 20)) or (氯的化学符号是Cl。)) and (... |
logic-v2 | Analyze these boolean expressions:
A. not not (not not ((((Antarctica is the coldest continent.) and (((-2 - 5) == (-9 * 1 * 10 * 8)) or ((1 * -9 - -4 * -3) == (1 * -1 + 0 * -5)))) and (There are 31 days in October.)) or (((A ladybug is a reptile.) and ((5 + -4) > (6 + 16))) and (69 is divisible by 12.)) or ((Sharks a... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 56782345,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not (not not ((((Antarctica is the c... |
logic-v2 | 研究以下逻辑语句：
A. not not ((not ((not not (not not ((10 * -11) > (-18 + 19)))) and (((1918年是闰年。) and (苏联解体发生在1991年。)) or (not ((5 * -6 * 6 * -5) <= (-3 * 7 + -9 * 0)))))) and ((not ((((36 % 6) <= (3 * 18)) or ((-20 - 16) <= (2 ** 2))) or ((3 ** 3) < (-18 + -20)))) and ((木头在常温下是固体。) and (汞在常温下是液体。))))
B. (((not ((-4 * -7) !... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 34552558,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not not ((not ((not not (not not ((10 * -11) > (-18 + 19)))) and ((... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((-20 * 8) > (-5 * 3 * 2 * 6)) or ((10 - 20) > (7 + -7))) or (390是完全平方数。) or (太阳绕地球运转。)) or ((not (人类每只手有五个手指。)) or (秘鲁的货币是澳元。))
B. not (not ((-7 * 9) < (-2 * 8 + 7 * 8) < (36 % 7)))
C. not not ((not not ((第一次世界大战开始发生在1916年。) and (马是哺乳动物。))) and ((12 - -20) > (2 * 15)))
D. (((((44 % 8) == (1... | {
"game_data": {
"answer": "A,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 38483595,
"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. ((((-20 * 8) > (-5 * 3 * 2 * 6)) or ((10 - 20) > (7 +... |
logic-v2 | 给定以下布尔表达式：
A. not not (((4 ** 3) >= (43 % 5)) and (泰国的首都是加拉加斯。))
B. ((not not ((0 * -10) > (-6 * -9))) or ((((5 ** 1) == (3 ** 2)) or ((5 ** 2) < (23 % 3))) or ((海王星是距离太阳第8近的行星。) or ((-6 * 10 * 0 * -4) >= (19 - -15))))) and ((not (((11 * -2) != (1 ** 2)) and ((-10 * 2 + -3 * 0) < (-15 * 8)))) and ((莱特兄弟首次飞行发生在1904年。) ... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 22921212,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not not (((4 ** 3) >= (43 % 5)) and (泰国的首都是加拉加斯。))\nB. ((not not (... |
logic-v2 | 下面是几个布尔表达式：
A. not (not (not not (not not (((-18 + -8) != (2 ** 2)) and (鲸鱼是鱼类。)))))
B. ((not not (1996年奥运会在亚特兰大举办。)) and ((not not ((摩洛哥位于非洲。) and ((11 * 16) != (-20 + 18)))) or (not not ((铝的化学符号是Ne。) and ((8 * -2 * 8 * -2) > (5 ** 1)))))) and ((((not not ((-19 + 15) > (7 * 17))) and (((4 * 3 + -1 * -8) == (18 * -17)... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 40074624,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not (not (not not (not not (((-18 + -8) != (2 ** 2)) and (鲸鱼是鱼类... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not ((not not (not (The chemical symbol for Oxygen is Na.))) or ((24 % 9) >= (1 ** 1)) or (not not (not not (((-15 * 17) > (-15 * 7)) or ((2 ** 1) <= (-14 + 9))))))) and (not not (not (((-20 * 14) > (35 % 6)) or ((((-12 + -5) < (-12 * -10) < (-6 - 12)) and (The chemic... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 92938346,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not ((not not (not (The che... |
logic-v2 | Below are several boolean expressions:
A. not not (not ((Wood is a liquid at room temperature.) or (not not ((Spiders are insects.) and (A butterfly has 0 legs.)))))
B. not not ((not (Jupiter is the 5th planet from the Sun.)) and (((((-9 + -17) != (28 % 4)) or (Mercury is a liquid at room temperature.)) or (((-5 * -4 ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 33888623,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not not (not ((Wood is a liquid at roo... |
logic-v2 | Analyze these boolean expressions:
A. not not (not not ((-11 * -4) >= (40 % 3)))
B. ((not (((17 + -20) == (20 % 7)) or (The currency of Singapore is the Rupiah.))) and (((5 ** 2) <= (-3 * 3 - 8 * 7)) or ((18 + 20) <= (1 ** 1) <= (25 % 8))) and (not not (((3 ** 3) < (15 - 3)) or (The square root of 100 is 10.)))) or (n... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 89004442,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not not (not not ((-11 * -4) >= (40 % ... |
logic-v2 | 评估以下每个表达式：
A. (not ((中国长城是在一年内建成的。) and ((鱼有8条腿。) and ((13 % 4) <= (-5 * 7) <= (2 * -10 * -8 * 9))))) and ((not ((-1 * -10 + -10 * 10) < (1 - -7))) or (not ((氦的化学符号是Ca。) or ((沙特阿拉伯位于亚洲。) and (银的化学符号是Na。)))))
B. not (((not not (((-10 - 16) <= (-6 * 8 + 3 * -7)) or ((-2 * 12) > (3 * -18)))) and ((((-8 * 4) < (0 * 9 + 5 ... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 80802861,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (not ((中国长城是在一年内建成的。) and ((鱼有8条腿。) and ((13 % 4) <= (-5 * 7) ... |
logic-v2 | 评估以下每个表达式：
A. not (not not (not (((-9 * -5 + 3 * -3) >= (15 * 7)) or ((not not ((-13 - -13) <= (-16 * 13))) or (((-6 + 10) >= (3 ** 3)) or (2004年奥运会在雅典举办。))))))
B. not not ((not (not ((0 * -18) < (-1 + 6)))) and ((((钛的化学符号是Ne。) or ((-6 * 6 - -10 * 9) < (-4 + -16) < (-19 * 4))) and ((冰的密度比液态水小。) or (光速约为每秒30万公里。))) or ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 15902394,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not (not not (not (((-9 * -5 + 3 * -3) >= (15 * 7)) or ((not not... |
logic-v2 | Given the following boolean expressions:
A. not not (not ((((not (Saturn is the 1st planet from the Sun.)) or (((2 ** 3) <= (14 + -3)) or ((-8 * -13) < (-13 + -10)))) or ((3 * 9 * -8 * -1) <= (17 + -10)) or ((((-6 * -13) <= (29 % 1)) and (Uranus is the 7th planet from the Sun.)) or (Nigeria is in Asia.))) or ((The 199... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 23446780,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not not (not ((((not (Saturn is the ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((not not (((28 % 6) <= (-17 - 1) <= (-2 + -3)) or (Colombia is in Asia.) or ((-4 * -3 - 3 * 1) != (-12 - -10)))) and (((8 + 17) < (-9 - 8)) or ((-5 * -5 - -8 * -5) < (-5 - -1) < (-1 * -4 + 9 * 5))) and ((not (not not ((A human has 2 ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 80253183,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((not ((-1 + -9) >= (1 ** 2))) or ((苍蝇是昆虫。) or (海王星是距离太阳第8近的行星。))) or (((4的平方根是2。) and (3是质数。)) and ((美国位于欧洲。) and (1988年奥运会在首尔举办。))))
B. ((((闪电不会两次击中同一个地方。) and ((2 ** 3) == (10 * 0 - -10 * -1))) and (甲虫是昆虫。)) and ((-12 - -6) <= (-9 - 13))) or ((not not (((0 + -3) <= (15 + 19) <= (-20 * 12)) or... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 35330205,
"true_count": 5
},
"question": "审视以下逻辑表达式：\n\nA. not not (((not ((-1 + -9) >= (1 ** 2))) or ((苍蝇是昆虫。) or (海... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((not not (not (((19 - 1) == (20 % 5)) and ((5 * -10 * -1 * -8) <= (9 * 17))))) and (((A frog has 4 legs.) and ((7 is an even number.) or ((14 - -11) != (13 + 12))) and ((not not (The first Olympic Games of modern era occurred in 1896.)) or (not ((50 % 7) < (-8 * -... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 93803926,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((not not (not (((19 - 1) ... |
logic-v2 | 评估以下每个表达式：
A. (铅的化学符号是Pb。) or ((木头在常温下是气体。) or (钛的化学符号是Ti。)) or ((not not (尼日利亚位于非洲。)) and (((34 % 6) < (-3 * -2 * 1 * -8)) and (铀的化学符号是Mn。)))
B. (not (((6 - 4) != (-18 - -7)) or ((-19 * 1) <= (8 * -10 * 4 * 10) <= (-15 + -2)))) and ((20 - 4) == (-5 - -16)) and (not not ((-15 - 7) < (-12 - 1) < (-3 - -17)))
C. (2008年是... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 61586593,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (铅的化学符号是Pb。) or ((木头在常温下是气体。) or (钛的化学符号是Ti。)) or ((not not (尼日利... |
logic-v2 | Study the following logical statements:
A. ((((Chile is in South America.) and ((-3 * 20) >= (34 % 4))) or ((The capital of France is Bern.) and ((-10 * 3) != (36 % 6)))) and ((-3 * 2 * -3 * 4) >= (-20 - -10))) or (South Korea is in Asia.) or ((The currency of Canada is the Ringgit.) or ((The 1904 Olympics were held i... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 63159775,
"true_count": 5
},
"question": "Study the following logical statements:\n\nA. ((((Chile is in South America... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((not not (not (22 is an odd number.))) and ((not (((8 * -3 + -6 * -2) < (1 + 13) < (-3 * -2 + 3 * -3)) or (Whales are fish.))) and (The capital of South Korea is Havana.)) and (not (not not ((((-5 + 5) < (-1 * 1 - 3 * 6) < (26 % 8)) and ((-14 + 20) == (16 * -14))) or ... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 64009818,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((not not (not (22 is an... |
logic-v2 | 评估以下每个表达式：
A. ((not (311是完全平方数。)) or (not ((6 * -7 - -7 * -3) < (36 % 9) < (-1 - 20)))) and (not (not ((6 * -9 - -4 * 7) <= (-2 * -9 + 3 * -10)))) and (((-11 * -2) < (-1 + 10)) or (铁在常温下是固体。))
B. (not not (蝴蝶有6条腿。)) and (((not ((8 * -4) <= (38 % 6))) and (((2 * 2 + -4 * -1) <= (15 % 8) <= (8 % 7)) or ((8 - 3) >= (-17 ... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 13740915,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. ((not (311是完全平方数。)) or (not ((6 * -7 - -7 * -3) < (36 % 9) < (... |
logic-v2 | Analyze these boolean expressions:
A. ((The 1904 Olympics were held in St. Louis.) and ((((13 - 11) < (-1 * -7 + -7 * 4) < (4 * -16)) and (2014 is a leap year.)) or (((6 * 7 * -4 * 7) >= (1 - 16)) or (The 2000 Olympics were held in Montreal.)))) or (((((7 * 6 - -3 * 7) == (-9 + -12)) or (146 is a perfect square.)) or ... | {
"game_data": {
"answer": "B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 26385907,
"true_count": 5
},
"question": "Analyze these boolean expressions:\n\nA. ((The 1904 Olympics were held in S... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((A fish has 4 legs.) or ((The 2016 Olympics were held in Rio de Janeiro.) or (A chicken has 2 legs.))) or ((The first iPhone was released occurred in 2007.) or (World War I began occurred in 1914.)) or (not not (not ((5 ** 1) < (14 - -6) < (10 * -9 + 7 * 4))))
B. not ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 5511266,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((A fish has 4 legs.) or ((... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (((((法国位于亚洲。) and (蜻蜓是昆虫。)) and (not not (氧气在常温下是气体。))) and ((阿根廷的首都是布拉格。) and (铁在常温下是气体。)) and (not ((10 - 6) >= (19 - -17)))) and (((铀的化学符号是U。) or ((16 * 1) <= (2 ** 3))) and (((18 - 6) <= (7 - -5)) and ((-18 - 20) < (-4 * -2 - -7 * 1) < (19 * -5)))) and ((not ((15 * -2) <= (3 + -3))) or... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 46816013,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not (((((法国位于亚洲。) and (蜻蜓是昆虫。)) and (not not (氧气在常温下是气体... |
logic-v2 | 考虑以下布尔表达式：
A. not not ((not (((-7 * -9) != (13 - 17)) and (地球上一天是24小时。))) or ((6 - 18) <= (-7 * 5 - 6 * -1)))
B. ((((巴西位于南美洲。) or (油在常温下是液体。)) or (((-4 + -5) >= (32 % 7)) and ((-4 - 15) <= (2 * 4 + -6 * 10)))) or (中国的首都是布鲁塞尔。)) and (not (not not (鸟有2条腿。)))
C. not (not (印度尼西亚位于亚洲。))
D. ((((金星是距离太阳第2近的行星。) or ((44 % 10)... | {
"game_data": {
"answer": "C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 82997130,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. not not ((not (((-7 * -9) != (13 - 17)) and (地球上一天是24小时。))... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (((not (((4 + -17) < (-10 * 14) < (-3 + -17)) and ((-8 * -9 - -8 * 9) >= (11 - 3)))) or ((-10 * -10 + -6 * 6) >= (2 ** 1)) or (((2 - 4) >= (-17 + 0)) and (((10 + -14) > (16 + -20)) or ((241是完全平方数。) and ((-14 * -6) >= (9 * -1 * 7 * -6)))))) and (not not ((not not ((2 ** 2) == (7 + 14))) or (not ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 84466784,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (((not (((4 + -17) < (-10 * 14) < (-3 + -17)) and ((... |
logic-v2 | Review these logical expressions:
A. (8 + -9) != (6 * -3 - 5 * 0)
B. ((-10 * 1 - -5 * 3) <= (-2 - -4)) and (not not ((-18 * -12) < (-14 * 17)))
C. not (((-7 - -6) >= (2 - -9)) and ((20 + -18) <= (3 * 5)))
D. The capital of Indonesia is Jakarta.
E. (not not ((3 - 8) <= (-5 + -11))) and (41 is an odd number.)
F. not not... | {
"game_data": {
"answer": "A,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 52493275,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. (8 + -9) != (6 * -3 - 5 * 0)\nB. ((-1... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((not not (Kenya is in Antarctica.)) or (((-19 + 7) < (17 * -8)) and (not not (not ((3 * 8 * -7 * 4) > (4 * -9 * -9 * -6)))))) and ((not (((The 1992 Olympics were held in Barcelona.) and ((5 * 2 + 4 * 8) == (-16 * -3))) and (not (The chemical symbol for Hydrogen is Cr.... | {
"game_data": {
"answer": "D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 51001814,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((not not (Kenya is in Ant... |
logic-v2 | Here are some boolean expressions to evaluate:
A. A cockroach is a reptile.
B. not not (((4 * -6) <= (6 - 12) <= (19 + 8)) or (Mercury is a liquid at room temperature.))
C. (((5 ** 1) > (8 - 4)) and ((-2 * 0 - -10 * -7) != (-8 * -15))) and (Mars is the 6th planet from the Sun.)
D. (-9 * -7 - 1 * -9) <= (-13 - 6)
E. (n... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 47432195,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. A cockroach is a reptile.\nB... |
logic-v2 | 下面是几个布尔表达式：
A. not not (not not (not (((氯的化学符号是Ni。) and ((9 * -2) == (-11 + -15))) or (俄罗斯的首都是雅加达。))))
B. not ((((光速比声速快。) and (越南位于亚洲。)) or (((法国位于北美洲。) and ((31 % 10) >= (-3 * 3 - -1 * -5))) and (地球是距离太阳第2近的行星。)) or ((187是奇数。) or (((-17 - 13) == (-13 - 8)) and (not not ((-16 + -11) > (-2 - -6)))))) and ((((((19 % 1)... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 11202768,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not not (not not (not (((氯的化学符号是Ni。) and ((9 * -2) == (-11 + -1... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not not ((((not not ((-12 + 13) > (20 - -6))) and (not ((19 * 7) >= (8 - 7)))) and (not not (((2 - 20) <= (11 - -10)) and ((18 + -19) != (-20 - 3))))) or (((((10 * -3 + -9 * 7) == (-18 * -17)) or ((5 ** 3) >= (-19 + -1))) or (((15 - -3) >= (19 % 6)) and ((-10 ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 24387677,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not not ((((not n... |
logic-v2 | 检验这些表达式：
A. (not not (not not ((not not (古巴的首都是布达佩斯。)) or (not (94大于34。))))) or (not (((5 * -3 - 2 * 8) > (-3 * -14)) and ((8 * -8 * 6 * 8) > (2 * -9 * -8 * -1)))) or (((((5 * -15) == (1 - 5)) or ((-9 * 0 - -9 * 8) != (-3 * -20))) or (((哥伦布到达美洲发生在1492年。) or (氦的化学符号是He。)) and (海王星是距离太阳第8近的行星。))) or ((铂的化学符号是Pt。) and ((... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 2554512,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (not not (not not ((not not (古巴的首都是布达佩斯。)) or (not (94大于34。))))) or... |
logic-v2 | Analyze these boolean expressions:
A. (Humans have five fingers on each hand.) and ((The 1976 Olympics were held in Rio de Janeiro.) or (Brazil is in Africa.))
B. ((The currency of Malaysia is the Ringgit.) and ((18 + -3) >= (5 ** 2))) and (not ((-10 * 9 + 7 * 4) >= (10 * 17)))
C. ((Humans have three lungs.) or ((-16 ... | {
"game_data": {
"answer": "C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 29379373,
"true_count": 5
},
"question": "Analyze these boolean expressions:\n\nA. (Humans have five fingers on each ... |
logic-v2 | Examine these expressions:
A. ((not (not (The currency of Turkey is the Pound.))) or ((80 is an odd number.) or ((The French Revolution began occurred in 1789.) or ((-6 * -4 * -1 * 10) <= (14 * -8))))) and (((((-10 * 9 + 8 * 7) > (2 * -9 + 5 * -4)) and (The chemical symbol for Chromium is Cr.)) and (((4 - 16) > (-4 + ... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 85686358,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. ((not (not (The currency of Turkey is the Pound.... |
logic-v2 | 分析以下逻辑表达式：
A. ((((-4 + 15) < (6 % 7)) and ((-9 * -3) > (-6 + 18)) and (not (((-17 + 11) < (-10 - 4) < (4 - 18)) or (蜥蜴是哺乳动物。)))) or (((1904年奥运会在伦敦举办。) or ((莱特兄弟首次飞行发生在1903年。) or ((8 + -18) == (-16 * 8)))) or ((-7 * -1 - -7 * -10) < (-12 + 13)))) or ((not not ((((-14 * -7) < (26 % 10)) or (印度的首都是新德里。)) and ((九月有30天。) a... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 43254989,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. ((((-4 + 15) < (6 % 7)) and ((-9 * -3) > (-6 + 18)) and (not (... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 企鹅能飞翔。
B. not not ((印度尼西亚的首都是雅加达。) or (1984年奥运会在雅典举办。))
C. ((加拿大位于亚洲。) and (蚂蚁有10条腿。)) and ((200是奇数。) and ((20 + -9) <= (0 - -8)))
D. not not ((智利的首都是吉隆坡。) and ((-16 * 17) < (12 * 0)))
E. (not ((-4 * -3 + 6 * -4) != (-16 + -16))) and ((11 * 4) < (-4 * -14) < (-7 * 7 * 2 * 7))
F. not ((3 ** 1) ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 86064914,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. 企鹅能飞翔。\nB. not not ((印度尼西亚的首都是雅加达。) or (1984年奥运会在雅典举办。)... |
logic-v2 | 评估以下每个表达式：
A. ((((13 - 8) == (25 % 7)) or ((匈牙利的首都是布达佩斯。) and (肯尼亚位于南美洲。))) or ((not not (二氧化碳在常温下是固体。)) and (((-2 * 0 * -9 * 2) == (-2 * 17)) or (1964年奥运会在首尔举办。)))) and ((not (((-14 - 13) < (-4 + -10)) or (30能被10整除。))) or (欧盟的货币是兰特。))
B. (((((46 % 8) > (4 - 10)) and (马来西亚的货币是林吉特。)) and ((捷克的货币是欧元。) or ((2 * 0 * 8 * 0... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 62791019,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. ((((13 - 8) == (25 % 7)) or ((匈牙利的首都是布达佩斯。) and (肯尼亚位于南美洲。))) or (... |
logic-v2 | 研究以下逻辑语句：
A. (not not (not (not (水蒸气在常温下是气体。)))) or (not ((((6 * 12) < (6 * 6) < (1 ** 1)) or (((大象有4条腿。) and ((7 * 8 - 5 * -5) > (-4 * 6 + 10 * 4))) or (not ((6 * -9 + 1 * -10) < (3 * -2 - 3 * -3))))) and ((not not (油在常温下是液体。)) or (鲸鱼是鱼类。)) and (((19 % 9) >= (19 + -19)) or ((not (2012年奥运会在伦敦举办。)) or (((20 - -1) < (5 ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 7521666,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (not not (not (not (水蒸气在常温下是气体。)))) or (not ((((6 * 12) < (6 * 6... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not ((not ((-10 + 13) <= (17 - -11))) and (not ((2 * 7 + -3 * -3) != (46 % 10))))) and ((18 + -8) == (0 * 5)) and (((鸡有2条腿。) and ((-9 + -9) != (-4 - 19))) or (第一次世界大战结束发生在1918年。))) and (not not (((not not ((-11 + -5) < (-19 * 10))) or (鲸鱼是鱼类。)) or (((-4 + 3) <= (-20 - -19)) and (铬的化学符号是Na。)) or ((... | {
"game_data": {
"answer": "C,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 31325732,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. ((not not ((not ((-10 + 13) <= (17 - -11))) and (not ((2 * ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not (not (not (Alcohol is a liquid at room temperature.))))
B. (((The chemical symbol for Zinc is Sn.) or ((12 + -7) <= (-2 * -17))) or (not not ((12 * 8) == (-9 * 18))) or (not not (The currency of Czech Republic is the Koruna.))) and (not not ((((-13 - -1) == (-... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 41032378,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not (not (not (Alcoho... |
logic-v2 | 考虑以下布尔表达式：
A. not not (not not ((not not (not ((金在常温下是固体。) or (汞的化学符号是Au。)))) or (((兔子是哺乳动物。) or ((6 - 3) < (-10 * -11))) or ((意大利的首都是罗马。) and (((2 + -13) < (7 % 8)) and (太平洋是最大的海洋。))))))
B. not not (not (((not ((地球上一天是24小时。) and (1904年奥运会在圣路易斯举办。))) or ((5 + 20) == (1 ** 1))) or ((((9 * 0 + -3 * 8) <= (-12 - 20) <= (... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 6264995,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. not not (not not ((not not (not ((金在常温下是固体。) or (汞的化学符号是Au。))))... |
logic-v2 | Review these logical expressions:
A. (not (((-12 - 11) >= (-10 * 20)) and (((17 - -19) < (-13 * -5)) and (((-5 * -7 + 3 * -5) < (10 % 1) < (0 + 17)) and ((-18 + 0) > (19 * -4)))))) and (not (((13 * -10) >= (4 ** 2)) and ((not not (Mars is the closest planet to the Sun.)) or ((A turtle is a reptile.) and ((-10 * 5 - 7 ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 83784414,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not (((-12 - 11) >= (-10 * 20)) and (((1... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not ((not (The currency of Philippines is the Dollar.)) and ((A duck is a mammal.) and ((46 % 5) >= (-2 - -12)))))
B. (((The 1984 Olympics were held in Munich.) and (((6 + -6) < (2 - -7)) and (Venus is the 1st planet from the Sun.))) and ((not ((12 + 0) < (20 ... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 76591714,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not ((not (The ... |
logic-v2 | Review these logical expressions:
A. (not not ((The capital of Brazil is Berlin.) and ((-2 + -10) >= (-7 * 4 + -6 * 6)))) or (not not ((-9 + 6) <= (4 * 4) <= (-13 - 3))) or (not not ((82 is a perfect square.) and (Mars is the 4th planet from the Sun.)))
B. not (The chemical symbol for Uranium is Fe.)
C. ((Uranus is th... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 64588981,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not not ((The capital of Brazil is Berli... |
logic-v2 | Examine these expressions:
A. ((5 ** 2) > (-13 - -16)) or ((not not (Egypt is in Africa.)) or ((The 1924 Olympics were held in Paris.) or (The 1904 Olympics were held in Rio de Janeiro.)))
B. not not ((not not (2092 is a leap year.)) or ((19 - -13) < (-17 * 6)))
C. not ((29 % 5) < (10 * 4 * -9 * 5))
D. (The 1936 Olymp... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 1412570,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. ((5 ** 2) > (-13 - -16)) or ((not not (Egypt ... |
logic-v2 | Analyze these boolean expressions:
A. (not not ((A chicken has 2 legs.) and ((Plants produce oxygen through photosynthesis.) and ((6 * 9) <= (48 % 10) <= (-7 + -10))))) and (not not ((not ((2 ** 1) >= (3 * 5 - -6 * 3))) and (((19 % 10) > (3 + 10)) or ((8 * 19) <= (1 * 10 + 9 * -9) <= (-6 + -2)))))
B. ((The first iPhon... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 99767221,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (not not ((A chicken has 2 legs.) and ((... |
logic-v2 | Evaluate each expression below:
A. The 2012 Olympics were held in London.
B. ((29 % 4) < (-2 - -18)) and ((Uranus is the 7th planet from the Sun.) or ((7 * 2 - -9 * -6) == (-7 * -3 * 2 * 7)))
C. (24 % 7) < (9 * -13)
D. ((A trout is a mammal.) and (The currency of Turkey is the Shekel.)) or ((Jupiter is the 5th planet ... | {
"game_data": {
"answer": "A,B,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 31033549,
"true_count": 6
},
"question": "Evaluate each expression below:\n\nA. The 2012 Olympics were held in Lond... |
logic-v2 | 审视以下逻辑表达式：
A. ((氖的化学符号是Ne。) and (((月球绕地球运转。) or ((7 + -4) > (10 * -3 * 1 * 2))) or (铬的化学符号是C。))) and ((not not (2012年奥运会在巴黎举办。)) and (60能被12整除。) and ((英国位于亚洲。) or (比利时的首都是布鲁塞尔。)))
B. (((((-12 + -6) >= (17 * 19)) or (大象是爬行动物。)) and (2100年是闰年。)) or ((((10 - -19) < (2 + 4)) and ((-2 * 19) > (1 - 14))) or (((6 * 15) != (6... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 75950628,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. ((氖的化学符号是Ne。) and (((月球绕地球运转。) or ((7 + -4) > (10 * -3 * 1 * 2))) ... |
logic-v2 | Analyze these boolean expressions:
A. not not (not (not ((((The Great Fire of London occurred in 1666.) and (1909 is a leap year.)) or (((1 ** 1) >= (6 * -2 - -10 * 7)) or ((16 - -1) != (-9 + 11)))) or (not (not not (The 2024 Olympics were held in Paris.))))))
B. not not (not not ((not ((8 * -2 * 6 * 5) >= (9 + -6))) ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 36697004,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not (not (not ((((The Great Fire of ... |
logic-v2 | 研究以下逻辑语句：
A. (((土星是距离太阳第6近的行星。) and ((-13 - 14) <= (12 + 1) <= (4 * 8 * 6 * -3))) or (((-16 - -4) <= (34 % 6) <= (-13 + -18)) or (狮子是哺乳动物。))) or ((36的平方根是6。) and (袋鼠有4条腿。)) or (人类每只手有五个手指。)
B. ((12 - -14) <= (0 * -3 * -7 * -5)) or (not ((钛的化学符号是P。) and ((1 * -10 * 7 * -10) <= (12 * -1))))
C. not not ((-16 * -17) > (7 ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 80757448,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (((土星是距离太阳第6近的行星。) and ((-13 - 14) <= (12 + 1) <= (4 * 8 * 6 * ... |
logic-v2 | 下面是几个布尔表达式：
A. not not (not ((新加坡的首都是新加坡。) and ((-9 * 10 - 8 * 5) == (10 * 5))))
B. ((not not ((-9 * 0 - 4 * 2) >= (-6 * 10 + -7 * 5))) or ((电流比光速更快。) and (氮气在常温下是气体。))) and ((((-5 - 15) <= (-2 + 12)) or ((2 ** 3) == (3 * 14))) or (((-6 * 18) == (-17 - -9)) and (天王星是距离太阳第7近的行星。)))
C. not not (((哥伦布到达美洲发生在1492年。) or (埃... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 82121410,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not not (not ((新加坡的首都是新加坡。) and ((-9 * 10 - 8 * 5) == (10 * 5... |
logic-v2 | Given the following boolean expressions:
A. (34 is divisible by 8.) or ((Neptune is the 8th planet from the Sun.) or (((-7 * -11) != (-1 - 14)) and (52 is greater than 28.)))
B. ((((11 * -20) != (50 % 2)) and (Silver is a solid at room temperature.)) or (not ((-2 * -5 * 9 * -10) < (-3 * -6 * -8 * -7)))) or (not not ((... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 46028544,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (34 is divisible by 8.) or ((Nep... |
logic-v2 | Examine these expressions:
A. (((not ((9 * -6 - 10 * -3) != (15 + 17))) and (not (Saturn is the 6th planet from the Sun.))) and ((-11 - 8) < (41 % 6))) and (not not (((The square root of 169 is 13.) or (Thailand is in Europe.)) or (The chemical symbol for Sodium is Na.)))
B. ((not (((5 + -5) > (-5 + 12)) or ((-4 * 9 -... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 98730909,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (((not ((9 * -6 - 10 * -3) != (15 + 17))) and ... |
logic-v2 | Below are several boolean expressions:
A. not not (((not not (((-3 * -6 - 2 * 8) > (5 - 13)) or (The Moon produces its own light.))) and (not not (not not (not (Oil is a liquid at room temperature.))))) or (not (((((-4 - -20) >= (-6 + 10)) or (There are 31 days in August.)) and (A crab has 10 legs.)) and (not not (The... | {
"game_data": {
"answer": "B,C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 51578796,
"true_count": 6
},
"question": "Below are several boolean expressions:\n\nA. not not (((not not (((-3 * -... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not not (((not (((-3 * 1) == (-2 - 4)) and (The chemical symbol for Carbon is O.))) or ((A crab has 10 legs.) or (not not (Neptune is the 8th planet from the Sun.)))) and ((((236 is a perfect square.) and ((-4 - 6) >= (15 + 10))) or ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 80132842,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Analyze these boolean expressions:
A. (not ((The speed of light is approximately 300,000 km/s.) and (The currency of India is the Naira.))) or ((-17 - -16) <= (-3 * -14))
B. (The chemical symbol for Carbon is Fe.) and ((Venus is the 2nd planet from the Sun.) and ((13 + -15) <= (5 ** 1))) and ((A herring is a fish.) an... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 34543125,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (not ((The speed of light is approxima... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 鸭子有2条腿。
B. ((2046年是闰年。) and ((4 ** 2) >= (5 ** 1))) or ((韩国位于南极洲。) and (木星是距离太阳第5近的行星。))
C. not (((8 % 10) > (1 * 15)) and (蜻蜓是昆虫。))
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,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 52261236,
"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. 鸭子有2条腿。\nB. ((2046年是闰年。) and ((4 ** 2) >= (5 ** 1))) ... |
logic-v2 | Examine these expressions:
A. not (not not (not (((There are 30 days in June.) or (not (Water is a liquid at room temperature.))) or (not (The human body has 150 bones.)) or (((39 % 2) <= (-5 - -11) <= (-9 * 9 + 3 * 2)) and (not (The 1924 Olympics were held in Paris.))))))
B. not not (not not ((not (World War II began... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 10349213,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. not (not not (not (((There are 30 days in Ju... |
logic-v2 | Study the following logical statements:
A. not not (not not (((((The 2004 Olympics were held in Rome.) or (The 1972 Olympics were held in Munich.)) or ((Earth is the 3rd planet from the Sun.) or (The currency of Colombia is the Peso.))) and (not ((73 is a prime number.) and ((2 ** 3) > (-1 - 17))))) and (not (not not ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 66979079,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. not not (not not (((((The 2004 Olympi... |
logic-v2 | 给定以下布尔表达式：
A. not (((not (鸵鸟是鸟类。)) and (not (铂的化学符号是Al。))) and (声音无法在真空中传播。))
B. (((-6 + -11) == (-6 + 16)) or ((水星是距离太阳第1近的行星。) or (水星是距离太阳第1近的行星。))) or ((((-4 + 8) != (1 ** 2)) or (摩洛哥位于大洋洲。)) and (((-8 * 13) == (-16 - -20)) or (9的平方根是3。))) or ((((柏林墙倒塌发生在1989年。) and (银的化学符号是Ti。)) or ((8 * 4 * 5 * 0) != (3 * 2 + -10... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 66865634,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. not (((not (鸵鸟是鸟类。)) and (not (铂的化学符号是Al。))) and (声音无法在真空中传播... |
logic-v2 | 考虑以下布尔表达式：
A. not ((((not not ((十二月有31天。) or ((6 * 9 - -7 * 7) == (-7 * -4)))) or ((((1 * 2 - 2 * 5) == (-7 * -2 + 2 * -1)) or ((-9 * 3 * 6 * -3) <= (9 % 4) <= (16 + 20))) and ((-19 - 14) <= (5 - 20) <= (8 + 20)))) or ((not not (((10 * -1 + 3 * -8) == (11 * -14)) or (乌鸦是鸟类。))) or (第一次世界大战结束发生在1918年。) or ((not not ((1 ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 6423385,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not ((((not not ((十二月有31天。) or ((6 * 9 - -7 * 7) == (-7 * -4)))) ... |
logic-v2 | Evaluate each expression below:
A. not (not not (((14 * -15) == (1 * -3 * 1 * -3)) and (((-9 * 1 * 8 * 8) <= (4 ** 1)) or (not ((-11 * 10) == (-2 - -19))))))
B. (((Whales are fish.) and (((The currency of Brazil is the Real.) or ((-3 + 12) == (46 % 4))) and (Mercury is the 1st planet from the Sun.))) and ((((4 ** 1) <... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 95247584,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not (not not (((14 * -15) == (1 * -3 * 1 * ... |
logic-v2 | Given the following boolean expressions:
A. not ((Gold is a solid at room temperature.) and (not not (There are 29 days in February.)))
B. (((Thailand is in Oceania.) and ((-18 - -4) <= (-17 - -10))) or (not not (The currency of China is the Krona.))) and (The capital of Philippines is Rabat.)
C. not (There are 31 day... | {
"game_data": {
"answer": "A,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 38679374,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. not ((Gold is a solid at roo... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (2 ** 3) < (-9 + 13)
B. (The first airplane flight by the Wright Brothers occurred in 1903.) and (not (Indonesia is in Asia.))
C. (5 * 1 + 9 * -6) <= (-1 * -13) <= (12 + 3)
Which options evaluate to True? List all true option labels sepa... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 17811195,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Consider the following logical expressions:
A. ((not ((9 * 1 - 4 * 5) <= (16 * -19))) or ((44 is divisible by 10.) and (((The chemical symbol for Calcium is O.) and ((9 - 14) != (-9 * -17))) and (not not ((4 ** 2) < (-9 + -20)))))) or (not not ((1969 is a leap year.) or (((-20 * -6) <= (31 % 10)) and (not not (Spain i... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 48959925,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. ((not ((9 * 1 - 4 * 5) <= (16 *... |
logic-v2 | Below are several boolean expressions:
A. ((not not ((Antarctica is the coldest continent.) or ((9 * -3 * -1 * -10) > (14 - -5)))) or (((16 - 2) != (14 + 18)) and (The 1968 Olympics were held in Mexico City.)) or (The Pacific Ocean is the largest ocean.)) and (((0 * -14) < (2 - -20)) and (not (not not ((-4 - 4) <= (-1... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 19471932,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. ((not not ((Antarctica is the cold... |
logic-v2 | 给定以下布尔表达式：
A. (not not ((not not (not (9的平方根是9。))) or ((not not ((委内瑞拉的首都是加拉加斯。) and (月球自己发光。))) and (土星是距离太阳第6近的行星。)))) and (((((以色列的货币是瑞士法郎。) or ((42 % 4) <= (13 + 2))) or (哥伦比亚的首都是首尔。)) or (not not (not (not (匈牙利的货币是福林。))))) and (((西班牙的首都是加拉加斯。) or (((-18 + 5) < (19 - -4)) and ((1992年奥运会在巴塞罗那举办。) or (1988年奥运会在伦敦举办。... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 66854247,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not not ((not not (not (9的平方根是9。))) or ((not not ((委内瑞拉的首都是加拉加斯... |
logic-v2 | 给定以下布尔表达式：
A. (((not ((加拿大的货币是比索。) or (匈牙利的首都是基辅。))) and (not not (2012年奥运会在伦敦举办。))) and (not not ((not not ((日本位于亚洲。) and (氯的化学符号是Cl。))) or ((中国位于亚洲。) or (镍的化学符号是He。))))) or (not (((((苏联解体发生在1991年。) or (1976年奥运会在墨西哥城举办。)) and ((英国的货币是英镑。) or (太阳绕地球运转。))) or (((4 ** 2) != (11 + -17)) or (荷兰的首都是河内。)) or ((not ((5 ** 3)... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 50056835,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (((not ((加拿大的货币是比索。) or (匈牙利的首都是基辅。))) and (not not (2012年奥运会在伦敦... |
logic-v2 | Evaluate each expression below:
A. (19 + 13) == (19 * 5)
B. The chemical symbol for Nitrogen is N.
C. ((A kangaroo has 8 legs.) and ((-8 - 13) > (-17 * -13))) or (not not ((2 * 1 - 1 * 0) > (5 ** 2)))
D. not ((Saturn is the 5th planet from the Sun.) or ((10 * -1 * -10 * -6) >= (15 + 6)))
List all options that evaluat... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 30164266,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (19 + 13) == (19 * 5)\nB. The chemical symb... |
logic-v2 | Analyze these boolean expressions:
A. ((not not (The Pacific Ocean is the largest ocean.)) and (((((-19 * -8) != (4 ** 3)) or (20 is divisible by 6.)) or ((The chemical symbol for Chlorine is Cl.) or (1995 is a leap year.))) and (((47 % 9) > (18 * -16)) and ((The capital of Canada is Nairobi.) or ((-7 * -5) < (0 * 6 +... | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 75473012,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. ((not not (The Pacific Ocean is the larg... |
logic-v2 | Evaluate each expression below:
A. not ((Australia is in Oceania.) and ((2029 is a leap year.) or (There are 31 days in May.)) and ((A bird has 8 legs.) and ((A chicken is a mammal.) and ((9 + 18) < (18 - 5)))))
B. not not (not ((20 + -7) > (3 * -6 + -7 * -5)))
C. (not ((The capital of Thailand is Bangkok.) and (not (... | {
"game_data": {
"answer": "A,B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 70617958,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. not ((Australia is in Oceania.) and (... |
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