env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (((-4 * -10 + -6 * -4) < (-11 - 14)) and ((日本的货币是日元。) or (丹麦的首都是奥斯陆。)))
B. (not ((2008年奥运会在北京举办。) and (氦的化学符号是Si。))) and (((2085年是闰年。) and ((8 * -12) < (9 * -2 * -4 * 10))) and ((太阳绕地球运转。) or ((19 + -14) <= (16 * -3) <= (5 * 9))))
C. (柏林墙倒塌发生在1989年。) and (((14 * 3) == (1 ** 1)) and (二氧化碳在常... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 8623868,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not (((-4 * -10 + -6 * -4) < (-11 - 14)) and ((日本的货币是日... |
logic-v2 | Study the following logical statements:
A. not not (not (not not ((((The human body has 206 bones.) and ((8 - 13) <= (-11 + 2))) and ((The currency of Australia is the Dollar.) or (Mercury is a liquid at room temperature.))) or (not not ((-16 * -8) < (-1 - 1))) or ((not (Diamond is a solid at room temperature.)) and (... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 70123587,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not (not (not not ((((The human... |
logic-v2 | 检验这些表达式：
A. not (not ((((5 * 7 * -6 * -1) < (3 ** 1)) or ((十二月有29天。) and ((-13 - 12) > (-4 * 12))) or (not (not ((3 ** 2) > (-20 * 0))))) and ((木星是距离太阳第5近的行星。) or (not ((36 % 7) <= (5 ** 1))))))
B. (not ((not (((氧气在常温下是气体。) and (中国位于非洲。)) or ((14 * 16) != (-2 * 10 * -10 * 7)))) and ((空气在常温下是气体。) and (金星是距离太阳第3近的行星。)))... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 82408559,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not (not ((((5 * 7 * -6 * -1) < (3 ** 1)) or ((十二月有29天。) and (... |
logic-v2 | Below are several boolean expressions:
A. (not (not ((((9 + 15) != (-16 * -11)) or (There are 28 days in January.)) or (Uranus is the 7th planet from the Sun.)))) and (not ((((-19 * 5) != (0 + -20)) and ((14 + 14) == (35 % 4))) and (The Moon orbits the Earth.))) and ((not not (The 2024 Olympics were held in Paris.)) a... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 35502909,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (not (not ((((9 + 15) != (-16 * -1... |
logic-v2 | Review these logical expressions:
A. not not ((not (not ((The currency of Philippines is the Peso.) and ((The chemical symbol for Mercury is P.) and ((1 ** 3) <= (-8 * 9 - 9 * 2) <= (4 * -3 * 5 * 0)))))) or (not not (not not (not not ((5 + 4) > (-5 - 19))))))
B. not not ((not not ((not ((A bird has 2 legs.) and ((5 * ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 32254846,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not ((not (not ((The currency of Ph... |
logic-v2 | 检验这些表达式：
A. ((not not ((1952年奥运会在赫尔辛基举办。) and ((1 * -5 + 1 * -3) != (16 * 13)))) or ((-6 * -5 * 10 * 2) > (1 - 8)) or (not ((((6 * -8 + -6 * -6) <= (-1 + 10) <= (-1 - -4)) and (肯尼亚位于非洲。)) or (海王星是距离太阳第8近的行星。)))) or (((捷克的首都是马尼拉。) or ((第一次世界大战结束发生在1918年。) and (蝙蝠是瞎的。))) or ((-5 * -5 + 6 * -10) > (-3 * 5 + -1 * -10))) o... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 9532333,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. ((not not ((1952年奥运会在赫尔辛基举办。) and ((1 * -5 + 1 * -3) != (16 * 13)... |
logic-v2 | 评估以下每个表达式：
A. not not ((((not ((2063年是闰年。) and ((18 % 5) == (4 * -9 * 7 * 6)))) or ((not not ((1 ** 3) != (-10 + 19))) or ((摩洛哥的首都是拉巴特。) and (钙的化学符号是Ca。)))) or ((not ((-12 - -20) <= (9 * -2 * -9 * -1))) or (not ((12 - -6) >= (-15 * -8)))) or (not (((-18 + 11) <= (2 * -8 * 4 * 9)) or ((52大于76。) and ((-12 - 19) <= (-8 *... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 11353533,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not not ((((not ((2063年是闰年。) and ((18 % 5) == (4 * -9 * 7 * 6)))... |
logic-v2 | 检验这些表达式：
A. (not not (not ((((鸡有2条腿。) and (人类只使用了大脑的10%。)) and (((1 * -6 * 8 * 5) >= (0 + 18)) or (水星是距离太阳第1近的行星。))) or (火星是距离太阳最近的行星。) or (((3 ** 1) < (7 * -9 + -5 * -2)) and (not not (1960年奥运会在伦敦举办。)))))) and (not (((not not (中国位于大洋洲。)) and (not not (((0 + 7) < (-7 * 7 * 2 * 6)) or (章鱼有0条腿。)))) and (((-15 * -3) < (7... | {
"game_data": {
"answer": "A,B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 2228302,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. (not not (not ((((鸡有2条腿。) and (人类只使用了大脑的10%。)) and (((1 * -6 * ... |
logic-v2 | 研究以下逻辑语句：
A. (not ((not ((-3 * 2) <= (23 % 8))) and ((8 * 7 - 8 * -10) > (0 * -3 - 5 * 0)) and ((not ((芬兰的首都是赫尔辛基。) and (龙虾有10条腿。))) or (not ((1 ** 1) <= (16 * 16)))))) or (not ((not (十一月有31天。)) and (not not (not (((-2 * -8 * 5 * 7) != (5 ** 2)) and (第一部iPhone发布发生在2006年。))))))
B. not not (((not not ((not (肯尼亚的首都是布拉格。)... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 99819143,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (not ((not ((-3 * 2) <= (23 % 8))) and ((8 * 7 - 8 * -10) > (0 * ... |
logic-v2 | 给定以下布尔表达式：
A. (not (not ((光速比声速快。) and (((7 * 10) > (-2 * 3 - -6 * 2)) or (((5 ** 3) >= (-14 + -18)) or (牛有0条腿。)))))) or ((not (not not ((not not ((-13 + -20) > (-15 + 17))) or (1994年是闰年。)))) or (not (((巴西的货币是瑞士法郎。) and (西班牙位于欧洲。)) and ((17 + 14) != (12 + 9)))) or (((not not (not (菲律宾的货币是比索。))) or (not (天王星是距离太阳第3近的行星... | {
"game_data": {
"answer": "A,B,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 13122775,
"true_count": 6
},
"question": "给定以下布尔表达式：\n\nA. (not (not ((光速比声速快。) and (((7 * 10) > (-2 * 3 - -6 * 2))... |
logic-v2 | 分析以下逻辑表达式：
A. not ((((not not ((美国宣布独立发生在1776年。) and (地球上一天是24小时。))) or (((蝙蝠是瞎的。) or (氧气对人类生存是必需的。)) and (not (银在常温下是气体。)))) or (not not (not ((鲸鱼是鱼类。) and ((-11 * -10) >= (12 + -5)))))) and ((((not not (委内瑞拉的首都是巴黎。)) and (龙虾有10条腿。)) or (not not ((10大于54。) or (金星是距离太阳第5近的行星。)))) or ((-4 - 5) == (-1 - 7)) or ((((12 * ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 57918296,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not ((((not not ((美国宣布独立发生在1776年。) and (地球上一天是24小时。))) or (((蝙蝠是... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not (not ((A crocodile is a bird.) and (The currency of Israel is the Shekel.))))
B. not not (not ((((-9 * 10) >= (45 % 2)) and (The chemical symbol for Uranium is U.)) and ((1 ** 2) == (-17 + -19))))
C. not not (not not ((not (3... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 63243149,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Examine these expressions:
A. not ((((3 ** 2) == (-14 + 2)) and (Mercury is a liquid at room temperature.)) or (not (Neptune is the 3rd planet from the Sun.)))
B. not not (not not ((-10 * -3) <= (-20 + -7)))
C. ((-10 - -12) < (-20 * 5) < (-5 * -6 + -9 * 8)) or (1935 is a leap year.)
D. (not not (((15 + 12) < (1 * 3 * ... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 40630310,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not ((((3 ** 2) == (-14 + 2)) and (Mercury is a ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((The currency of Mexico is the Peso.) or (Nitrogen is a gas at room temperature.)) or ((The 1952 Olympics were held in Mexico City.) or ((24 % 10) > (10 + 9)))) and (((There are 30 days in November.) or ((10 * 2 + 6 * 2) > (46 % 7))) and (The chemical symbol for Oxyg... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 48269138,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((The currency of Mexico is t... |
logic-v2 | Evaluate each expression below:
A. not not (not (not not (There are 31 days in March.)))
B. (not (not ((not not ((-6 - 5) <= (-5 + -6))) or (Copper is a liquid at room temperature.)))) and (not (not (not not (not not ((0 + -12) > (-17 * -5))))))
C. not not (not ((Brazil is in Asia.) or (((-4 * 8 + 1 * -3) >= (10 * -5 ... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 28358040,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not not (not (not not (There are 31 days in... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((not not ((3 ** 1) >= (9 * 8 * 3 * 5))) or (not not ((-4 * -6) <= (-10 * 10 - 7 * -6))))
B. not ((0 * -16) != (-3 + -18))
C. (not not (金在常温下是固体。)) or (not not (750是斐波那契数。)) or ((-7 + -1) != (16 * -8))
D. ((20 - -13) > (2 * 10 - 3 * 7)) and ((-14 - 18) < (-2 + 18)) and (((铜在常温下是液体。) and ((-4 * ... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 60600009,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((not not ((3 ** 1) >= (9 * 8 * 3 * 5))) or (not not... |
logic-v2 | 下面是几个布尔表达式：
A. not (英国的货币是埃及镑。)
B. (((海王星是距离太阳第8近的行星。) and (锌的化学符号是Ne。)) and ((14 - -19) >= (13 % 4))) and ((8 * 17) < (19 * 8)) and (声音无法在真空中传播。)
C. ((10 - 6) < (17 - 15)) and ((((3 - 19) < (12 + 12)) or (人类只使用了大脑的10%。)) or ((阿根廷的货币是日元。) and ((-4 * 10 + -10 * -7) <= (2 * -3 - 1 * -5))))
D. ((((5 ** 2) > (9 * -9 * -4 ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 77404057,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. not (英国的货币是埃及镑。)\nB. (((海王星是距离太阳第8近的行星。) and (锌的化学符号是Ne。)) and ((... |
logic-v2 | Given the following boolean expressions:
A. not (not not (not not (2030 is a leap year.)))
B. not not (not ((19 is a prime number.) and ((3 ** 3) < (2 ** 2))))
C. not not ((South Korea is in Africa.) and (((Oil is a liquid at room temperature.) and (Venus is the 8th planet from the Sun.)) or ((3 ** 2) != (-18 + -1))))... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 80400554,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not (not not (not not (2030 is a l... |
logic-v2 | 评估以下每个表达式：
A. not (((金星是距离太阳第2近的行星。) and (光速约为每秒30万公里。)) or (((14 - 2) != (9 * 0 * -5 * -10)) and (1984年奥运会在巴塞罗那举办。)))
B. (not ((猫头鹰是鸟类。) or ((25 % 6) == (-19 - -13)))) and ((铜在常温下是固体。) and (669是斐波那契数。)) and ((3 - 4) > (-2 * 9))
C. ((((-5 * -7 * -7 * -6) <= (-4 + 6)) and (企鹅能飞翔。)) or (not not (中国位于亚洲。))) or ((290是斐波那契... | {
"game_data": {
"answer": "C,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 88247394,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. not (((金星是距离太阳第2近的行星。) and (光速约为每秒30万公里。)) or (((14 - 2) != ... |
logic-v2 | Evaluate each expression below:
A. not (((A rabbit is a mammal.) or (The 1992 Olympics were held in Barcelona.)) or ((3 * -2 - 8 * 6) > (-11 + -7)))
B. not not ((((Saturn is the 6th planet from the Sun.) and (Iron is a solid at room temperature.)) or (not not (The 1896 Olympics were held in Athens.))) and (The capital... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 38744878,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not (((A rabbit is a mammal.) or (The 199... |
logic-v2 | 评估以下每个表达式：
A. not not (法国大革命开始发生在1787年。)
B. 冰的密度比液态水小。
C. (氖的化学符号是Ne。) and ((6 * -4 * -3 * -4) < (-17 + -12) < (5 ** 2)) and (((-8 * 2 + 0 * -7) == (-10 + -10)) and (not ((10 - -18) > (2 ** 3))))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 24095766,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not (法国大革命开始发生在1787年。)\nB. 冰的密度比液态水小。\nC. (氖的化学符号是Ne。) and ((6... |
logic-v2 | Below are several boolean expressions:
A. not not (((The human body has 150 bones.) and (((15 % 9) == (-9 - 5)) and (A pig has 8 legs.))) and (not not (((-8 * 6) >= (4 ** 1)) and (not not (Water is a liquid at room temperature.)))))
B. (not (((13 % 10) != (-8 * 5 - -8 * 1)) or (The first Olympic Games of modern era oc... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 73745621,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not not (((The human body has 150 bone... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((1988年奥运会在斯德哥尔摩举办。) and (丹麦的货币是克朗。)) and (柏林墙倒塌发生在1989年。)) and (((((-11 - 9) < (-3 * -2 + -9 * -10)) or (瑞士的货币是比索。)) or (((1 % 10) <= (5 - 5)) or ((0 + -10) < (41 % 3)))) and (not not (2024年奥运会在亚特兰大举办。)))) and ((((水星是距离太阳第1近的行星。) or ((-10 - 10) != (46 % 3))) or (((5 % 5) != (8 * 12)) or ((4 * 0 ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 4000719,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((1988年奥运会在斯德哥尔摩举办。) and (丹麦的货币是克朗。)) and (柏林墙倒塌发生在1989年。))... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not ((35 % 2) < (17 * -3) < (33 % 5))) and (not not (not (((15 % 9) >= (50 % 2)) or (1980年奥运会在东京举办。))))) or (not (not (((-9 * -11) > (7 * -1 - 4 * -10)) and (1908年奥运会在亚特兰大举办。)))) or (((水在常温下是液体。) and ((4 - 12) >= (18 - -11))) and (not ((-13 * -14) >= (25 % 5))) and ((not not (挪威的货币是克朗。)) or ((日本的首... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 88478093,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. ((not not ((35 % 2) < (17 * -3) < (33 % 5))) and (not not (not ((... |
logic-v2 | 给定以下布尔表达式：
A. (not not ((not ((not (22是偶数。)) and (硅的化学符号是Al。))) and (not not ((not ((3 ** 2) <= (-12 - -7) <= (-4 * -3 * 2 * 1))) or ((铜的化学符号是Na。) or ((-8 + 11) < (-10 * -4 + 10 * 1))))))) and ((not (not not (not (((-13 * 19) <= (3 ** 3) <= (8 * 7 + 2 * -6)) or (1932年奥运会在墨西哥城举办。))))) or ((not not (俄罗斯位于欧洲。)) and (not ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 49057825,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not not ((not ((not (22是偶数。)) and (硅的化学符号是Al。))) and (not not ((n... |
logic-v2 | 审视以下逻辑表达式：
A. ((((铜的化学符号是Fe。) or ((-8 * -6) < (0 * 20))) or (西班牙位于欧洲。)) or (not (土星是距离太阳第2近的行星。))) or (((-4 - 18) >= (2 ** 3)) or ((not not (铝的化学符号是Al。)) and (((10 * -8) == (0 - -8)) or (30是奇数。))))
B. (((32是偶数。) or ((1964年奥运会在东京举办。) and (声音在真空中传播更快。))) and (((-16 - -8) <= (-2 + -18)) or (埃及位于非洲。)) and ((((2 + -19) != ... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
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"seed": 23570722,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((((铜的化学符号是Fe。) or ((-8 * -6) < (0 * 20))) or (西班牙位于欧洲。)) or (no... |
logic-v2 | 下面是几个布尔表达式：
A. ((not (not ((1977年是闰年。) or (1988年奥运会在赫尔辛基举办。)))) and (((1908年奥运会在伦敦举办。) or (第一次世界大战开始发生在1916年。)) or (not not ((0 + -18) < (-10 * -9) < (7 * 9 - -10 * 9))) or (not ((1932年奥运会在悉尼举办。) or (南极洲是最冷的大陆。))))) and (not (not (南极洲是最冷的大陆。)))
B. not (not (((not not (62是质数。)) or (三月有31天。)) or (十二月有31天。)))
C. (not not... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
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"seed": 73149166,
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},
"question": "下面是几个布尔表达式：\n\nA. ((not (not ((1977年是闰年。) or (1988年奥运会在赫尔辛基举办。)))) and (((190... |
logic-v2 | Consider the following logical expressions:
A. ((not ((5 - -9) > (4 ** 3))) and ((19 - 1) != (-12 + 0)) and ((Japan is in Asia.) and ((2060 is a leap year.) and (Mars is the 1st planet from the Sun.)))) or (1984 is a leap year.) or ((not (not not ((12 * 9) < (2 + 17)))) and ((3 * -3 * 0 * -7) == (3 * -9 + -10 * -4)))
... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 54844454,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. ((not ((5 - -9) > (4 ** 3))) ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not not (not not (The chemical symbol for Silver is Ag.)))
B. (not not (not not ((-17 + 5) != (-6 + 15)))) and (World War I ended occurred in 1918.)
C. not ((1 ** 3) >= (6 % 6))
D. (not (((-1 * 14) == (17 - -19)) and ((-6 * -13) ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 44528623,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 给定以下布尔表达式：
A. (not not ((((-6 + 20) <= (2 ** 3)) or ((氧气在常温下是液体。) and (变色龙是昆虫。))) and ((木星是距离太阳第5近的行星。) or ((-4 * -4) < (5 ** 3))) and (not ((印度位于亚洲。) or ((2 ** 1) >= (1 * -7 - 7 * 6)))))) or ((not (1936年奥运会在柏林举办。)) or (not (伦敦大火发生在1666年。)))
B. 钻石由碳元素组成。
C. not not (((((5 % 1) < (6 * -10 - 9 * -6) < (7 - 2)) or (not (... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
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"seed": 8599992,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not not ((((-6 + 20) <= (2 ** 3)) or ((氧气在常温下是液体。) and (变色龙是昆虫。)))... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (The capital of China is Beijing.) or (not ((3 * -3 - -9 * -6) < (18 - 19))) or (A bear is a bird.)
B. (not ((The currency of Hungary is the Dollar.) and (The capital of Italy is Rome.))) and (((-6 + 20) != (4 * 17)) or (The square root o... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 98769688,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 下面是几个布尔表达式：
A. not (not not ((南非位于非洲。) or (地球上一天是24小时。)))
B. not (荷兰的首都是安卡拉。)
C. (not not (((-8 * -5 + 0 * -10) != (-6 * -2 + -3 * 2)) and (氧气对人类生存是必需的。))) and (((人类有三个肺。) and ((-1 * -10 * -1 * 2) < (31 % 10))) or (1904年奥运会在圣路易斯举办。))
D. (not ((-6 - 3) >= (-14 * 10))) or (not not ((-10 - -3) < (8 + -5)))
找出所有为真的表达式。在 ... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 83267049,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not (not not ((南非位于非洲。) or (地球上一天是24小时。)))\nB. not (荷兰的首都是安卡拉... |
logic-v2 | Below are several boolean expressions:
A. not ((18 * -12) >= (-18 + -18))
B. (not not ((The chemical symbol for Cobalt is Co.) and ((1 + 3) != (5 ** 3)))) and (((8 * -1 * 2 * 6) == (20 * -14)) and ((The capital of Indonesia is Jakarta.) or ((-10 - 16) < (-10 + 7))))
C. (((132 is a perfect square.) and ((1 * 7 + 0 * 4)... | {
"game_data": {
"answer": "A,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 64207353,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not ((18 * -12) >= (-18 + -18))\nB. ... |
logic-v2 | 审视以下逻辑表达式：
A. not (((((34 % 9) < (2 ** 2)) or (1936年奥运会在柏林举办。)) and ((-3 * -4) > (42 % 8))) and (((-18 - -16) > (-2 * -5 + 2 * 1)) or ((伦敦大火发生在1671年。) and (泰国的首都是曼谷。))))
B. not (not not (not not ((2006年是闰年。) or ((2 ** 2) < (9 * -12)))))
C. (((not ((-2 * -9) != (6 * 0 + -2 * 0))) and (月球绕地球运转。)) or ((1960年奥运会在巴黎举办。) or... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 38531584,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. not (((((34 % 9) < (2 ** 2)) or (1936年奥运会在柏林举办。)) and ((-3 *... |
logic-v2 | Review these logical expressions:
A. (1 * -9 - 2 * -6) > (-6 * -17)
B. not not ((The Moon orbits the Earth.) or (Mercury is the 6th planet from the Sun.))
C. ((The 1984 Olympics were held in Mexico City.) and ((16 + -19) <= (-19 * -6))) or (373 is a perfect square.)
Which expressions are true? Answer with comma-separ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 64404645,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. (1 * -9 - 2 * -6) > (-6 * -17)\nB. not not ... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not (((19 + 13) < (-1 * -9 * -9 * 7) < (-7 * -6 * 5 * -9)) or (蝙蝠是瞎的。))) or (((2 ** 2) != (12 - -9)) and (not ((17 * -11) >= (-7 - 13))))) or (not (铁在常温下是液体。)) or ((((1 ** 2) <= (-16 * 12)) or (((9 * 0 * 8 * -8) > (13 + 7)) and (第一次世界大战开始发生在1914年。))) or (((泰坦尼克号沉没发生在1907年。) or (氦气在常温下是气体。)) and ((... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 67834403,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. ((not not (((19 + 13) < (-1 * -9 * -9 * 7) < (-7 * -6 * 5 *... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (((-5 * 10 + 3 * -9) < (-14 * 3) < (-8 * 2)) or (((2098 is a leap year.) or ((6 * 8 * 3 * 5) == (-12 - -6))) and (The capital of Belgium is Brussels.))) or ((Earth is the 3rd planet from the Sun.) and (not (((1 * -2) <= (4 * 6)) or (There... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 46235396,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
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。
B. ((27 % 5) >= (-9 * -8 - 3 * 2)) and (水蒸气在常温下是气体。)
C. (not (1924年奥运会在巴黎举办。)) and (not not (钛的化学符号是Ti。))
D. not (not not (2020年奥运会在雅典举办。))
E. (铝的化学符号是Al。) and (((17 - -8) <= (-16 * -11)) or ((1 % 2) == (4 * -5 + -6 * -7)))
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": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 84582349,
"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。\nB. ((27 % 5) >= (-9 * -8 - 3 * 2)) and (水... |
logic-v2 | 研究以下逻辑语句：
A. ((not (((-4 * -4 - 3 * -9) != (10 + -6)) and (94能被12整除。))) and (((11 * 20) < (-8 + 6) < (-2 * 3 - -3 * 3)) and (not (肯尼亚位于非洲。)))) or ((-12 - 18) >= (0 + 16)) or ((((15 * -14) != (3 ** 3)) or (((-9 - -2) < (10 % 1) < (-5 * -3 - -8 * -2)) or (天王星是距离太阳第7近的行星。))) and (铅的化学符号是Pb。))
B. (not not ((not ((2 * -7 *... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 27357926,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. ((not (((-4 * -4 - 3 * -9) != (10 + -6)) and (94能被12整除。))) and ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((((not not (The currency of Malaysia is the Ringgit.)) or ((-20 * 3) > (12 % 10))) and ((not not (The currency of Mexico is the Peso.)) and ((1 - 7) < (5 * -2 * -9 * 9) < (-7 * 2 * 1 * -7)))) or ((not (((-17 + -9) >= (10 * -3)) or ((... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 30093133,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | 审视以下逻辑表达式：
A. (((((-9 + -16) != (-10 - -17)) or (木星是距离太阳第8近的行星。)) and ((金鱼是爬行动物。) or (法国大革命开始发生在1787年。))) and ((巴西的货币是克朗。) and ((硫的化学符号是S。) or (现代奥运会首届举办发生在1894年。)))) or ((((美国宣布独立发生在1778年。) or (鱼有0条腿。)) and (((-10 * 11) >= (28 % 6)) and ((3 ** 2) >= (-15 + -14)))) and (not not ((-8 * 9 - 1 * 9) < (-9 * 10 * -3 * 0)))... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 1925005,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (((((-9 + -16) != (-10 - -17)) or (木星是距离太阳第8近的行星。)) and ((金鱼是爬行动物。)... |
logic-v2 | 检验这些表达式：
A. (((((0 * -12) == (15 + -7)) and (菲律宾的货币是里拉。)) and (锌的化学符号是Al。)) or ((柏林墙倒塌发生在1989年。) or ((二月有28天。) and ((8 * -1) >= (-4 * 5 - -1 * 5))))) and ((((俄罗斯位于欧洲。) and (银在常温下是固体。)) or ((天王星是距离太阳第7近的行星。) and (1908年奥运会在伦敦举办。))) and (not ((19 + -20) == (-5 * 10))) and (((55小于等于99。) or (墨西哥的首都是开罗。)) or ((1 % 8) == (9 ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 74263244,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (((((0 * -12) == (15 + -7)) and (菲律宾的货币是里拉。)) and (锌的化学符号是Al。)) or... |
logic-v2 | 审视以下逻辑表达式：
A. not ((((2 ** 2) >= (-10 * -8 + -6 * 8)) and (捷克的货币是克朗。)) or (((8 + -1) >= (-6 * -4)) and (人体有150块骨头。)))
B. not not ((墨西哥的首都是墨西哥城。) and (((8 * -7 - -1 * 1) < (7 + -7)) and (磷的化学符号是P。)))
C. not not ((((7 - 4) != (13 + -18)) and (铜在常温下是气体。)) or (铜的化学符号是Cu。))
D. (((380是完全平方数。) and (美国宣布独立发生在1778年。)) and ((金星... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 74612716,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. not ((((2 ** 2) >= (-10 * -8 + -6 * 8)) and (捷克的货币是克朗。)) or ... |
logic-v2 | 下面是几个布尔表达式：
A. ((中国长城是在一年内建成的。) or (俄罗斯位于欧洲。) or (金星是距离太阳第8近的行星。)) and (((((0 * 5 * 1 * 5) >= (11 % 2)) and ((3 ** 3) != (-12 + -10))) and (泰坦尼克号沉没发生在1912年。)) and (not not (伦敦大火发生在1671年。)))
B. (((19 + 18) > (1 ** 3)) and (巴西位于南美洲。)) and ((-10 + -5) == (5 ** 2)) and ((((泰坦尼克号沉没发生在1912年。) or ((1 ** 2) >= (3 % 8))) and (... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 72888894,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. ((中国长城是在一年内建成的。) or (俄罗斯位于欧洲。) or (金星是距离太阳第8近的行星。)) and (((((0 * ... |
logic-v2 | Analyze these boolean expressions:
A. not not (not not ((The capital of Italy is Bucharest.) and (The capital of New Zealand is Jakarta.)))
B. (((((-6 + -1) == (-19 + 18)) or ((-6 * 4 - 2 * -2) < (-9 * -11))) and ((-13 * 7) <= (-16 - -1))) and (not ((The currency of Japan is the Franc.) and (Earth is the 7th planet fr... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 20596006,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not not (not not ((The capital of Italy is... |
logic-v2 | 审视以下逻辑表达式：
A. (((not not (not not (摩洛哥位于非洲。))) and (智利的首都是东京。)) and (((-7 * 0) < (6 * -6)) and (((-10 - 15) == (16 % 9)) and (智利位于南美洲。))) and (not ((6 % 10) < (-2 * 1)))) and ((not not (人类有三个肺。)) or (not not (not not ((巴西位于南美洲。) and ((17 - 18) == (20 - -16))))))
B. not (not (((not not ((-1 * -4 + -7 * 8) < (-6 * 2 + -... | {
"game_data": {
"answer": "B,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 53251350,
"true_count": 5
},
"question": "审视以下逻辑表达式：\n\nA. (((not not (not not (摩洛哥位于非洲。))) and (智利的首都是东京。)) and (((-... |
logic-v2 | 下面是几个布尔表达式：
A. not ((钻石在常温下是固体。) and ((not not (氧气在常温下是气体。)) or (not ((2 * -2 - 7 * -4) <= (-18 + -13) <= (3 * 0 - -8 * 8)))))
B. not (not ((not (阿根廷的货币是比索。)) and ((海王星是距离太阳第8近的行星。) and (100小于等于35。))))
C. ((匈牙利的货币是福林。) and ((4 * 2 + -2 * -7) < (16 * 8))) and ((not ((4 ** 3) == (11 + -1))) or (((-19 + 8) < (-10 - 16)) ... | {
"game_data": {
"answer": "D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 68745689,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. not ((钻石在常温下是固体。) and ((not not (氧气在常温下是气体。)) or (not ((2 *... |
logic-v2 | 评估以下每个表达式：
A. (not ((not (not ((埃及位于大洋洲。) and (氢的化学符号是H。)))) or ((-15 * 13) < (-6 + -16)) or (((46 % 8) < (10 + 5)) and (not ((16 - 16) <= (19 - -13) <= (5 * -6 - 4 * 6))) and ((-3 * 0 - -10 * -9) > (18 % 10))))) and (not (not not (not not ((-6 + 1) <= (-4 * -6 + 1 * 10) <= (12 * -11)))))
B. not ((not (((not (瓢虫是昆虫。))... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 96228419,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (not ((not (not ((埃及位于大洋洲。) and (氢的化学符号是H。)))) or ((-15 * 13) < (-... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((not ((氦的化学符号是He。) or (哥伦布到达美洲发生在1502年。))) or ((-8 - 0) <= (-17 - 17))) and ((not (((7 * -8 * 1 * 3) <= (5 * -3 + -8 * 1) <= (-4 * -10 - -3 * 5)) and ((4 + -16) != (45 % 3)))) and ((not not ((-13 + -7) >= (11 * -8))) or (not not (油在常温下是液体。))))
B. not ((((八月有31天。) and (银在常温下是固体。)) and ((81的平方根... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 90463155,
"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 ((氦的化学符号是He。) or (哥伦布到达美洲发生在1502年。))) or ((-8 - 0... |
logic-v2 | 分析以下逻辑表达式：
A. (16 - 14) != (-18 * -9)
B. not (not not (企鹅能飞翔。))
C. not ((-8 + -6) < (10 * -1 - 2 * -8) < (44 % 8))
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": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 65749196,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. (16 - 14) != (-18 * -9)\nB. not (not not (企鹅能飞翔。))\nC. not ((-... |
logic-v2 | 给定以下布尔表达式：
A. ((((1924年奥运会在柏林举办。) and (苏联解体发生在1991年。)) or (比利时的首都是布鲁塞尔。)) or ((氖的化学符号是Cr。) or (not not (钻石在常温下是固体。)))) or (not (not (六月有29天。))) or ((((土星是距离太阳第4近的行星。) and ((37 % 2) <= (10 + 19) <= (-1 * 9 + -9 * -10))) or (((-15 * -14) != (-8 * -2 * 0 * 8)) or (硫的化学符号是S。))) or ((not not (美国位于北美洲。)) or (not (摩洛哥位于非洲。))... | {
"game_data": {
"answer": "A,B,C,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 42912006,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. ((((1924年奥运会在柏林举办。) and (苏联解体发生在1991年。)) or (比利时的首都是布鲁塞尔。)... |
logic-v2 | 评估以下每个表达式：
A. 木星是距离太阳第1近的行星。
B. ((十二月有30天。) and (二氧化碳在常温下是气体。)) and ((三月有31天。) or (金星是距离太阳第2近的行星。))
C. not (not not (人类只使用了大脑的10%。))
D. (not (牛有10条腿。)) and (((1 * -14) < (-14 * 14) < (-14 + -18)) or ((-17 - -8) < (0 - -3)))
E. not not (((19 + -2) >= (-17 - -11)) and (钛的化学符号是Ti。))
F. (天王星是距离太阳第6近的行星。) or (((7 + 17) <= ... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 53337319,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. 木星是距离太阳第1近的行星。\nB. ((十二月有30天。) and (二氧化碳在常温下是气体。)) and ((三月有... |
logic-v2 | 下面是几个布尔表达式：
A. (not (not (越南位于亚洲。))) and (((((沙特阿拉伯位于亚洲。) and (地球是距离太阳第3近的行星。)) and (希腊的首都是雅典。)) or (2000年奥运会在北京举办。)) and ((not not ((2053年是闰年。) or (海王星是距离太阳第8近的行星。))) and (((泰坦尼克号沉没发生在1913年。) or ((2 ** 2) <= (5 ** 2))) or (not (月球绕地球运转。)))))
B. not (not (((not not ((9 * 9 + -1 * -9) == (4 * 18))) or (铜在常温下是气体。)) and ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 68377427,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (not (not (越南位于亚洲。))) and (((((沙特阿拉伯位于亚洲。) and (地球是距离太阳第3近的行星。)) ... |
logic-v2 | Review these logical expressions:
A. not not ((not not (((14 * 20) != (4 + 14)) and (((Iron is a solid at room temperature.) or ((-8 + 20) != (8 * -3 * 8 * 0))) and (World War I began occurred in 1914.)))) and ((not not (not not (Mercury is the 5th planet from the Sun.))) or ((((1959 is a leap year.) or (The 1896 Olym... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 96602245,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not ((not not (((14 * 20) != (4 + 1... |
logic-v2 | Analyze these boolean expressions:
A. not (not not (((((The 2024 Olympics were held in Paris.) or (The 2024 Olympics were held in Antwerp.)) and (The currency of Canada is the Naira.)) and ((-10 * 2 - -5 * -8) == (-19 - 6))) or (not (not (((9 - -20) != (2 + -15)) and ((-9 * -4) <= (1 * 1)))))))
B. not (not not (not no... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 68674653,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not (not not (((((The 2024 Olympics ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (not not ((Diamonds are made of carbon.) and ((not (Mercury is the 6th planet from the Sun.)) and (((-5 * -3) != (-14 + -5)) or (Australia is in Oceania.)))))) and (not not (not (((not ((-14 * 6) <= (-8 * -8 * 7 * -7))) and (not ((-9... | {
"game_data": {
"answer": "C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 5692413,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA... |
logic-v2 | Review these logical expressions:
A. not (not not (not (((-12 * -10) <= (-1 * 5 * 0 * -7) <= (-19 - -11)) or (((19 - 14) < (22 % 6)) or (((10 * 3) < (-8 - -17) < (-10 * 7)) and (Saturn is the 6th planet from the Sun.))))))
B. not (not (((not ((Copper is a solid at room temperature.) or (Mars is the 2nd planet from the... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 57545484,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not (not not (not (((-12 * -10) <= (-1 * ... |
logic-v2 | Given the following boolean expressions:
A. not not ((not ((not (Earth is the 1st planet from the Sun.)) or (not ((Mercury is a liquid at room temperature.) or (There are 28 days in November.))))) and (not (((14 - 14) >= (19 % 2)) and ((not not (A human has 2 legs.)) or (not (The currency of Switzerland is the Yen.)))... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 48381074,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not not ((not ((not (Earth is the 1s... |
logic-v2 | Given the following boolean expressions:
A. not not (not not ((not ((((-4 + -6) <= (1 % 6)) or ((-7 * -17) < (7 * -2 * 9 * -1))) or (not (The currency of South Korea is the Dong.)))) or ((A lobster has 2 legs.) and (not not (not not (A mosquito is a bird.))))))
B. not not ((not not ((not not ((Spain is in Europe.) and... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 68408443,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not not (not not ((not ((((-4 + ... |
logic-v2 | 下面是几个布尔表达式：
A. not not ((((((巴西位于南极洲。) and ((2 ** 1) > (12 + -15))) or (36是质数。)) and (not (not not (1918年是闰年。)))) and ((not not (第二次世界大战开始发生在1934年。)) or ((中国位于欧洲。) or (泰坦尼克号沉没发生在1912年。))) and (((1964年奥运会在雅典举办。) and ((-2 * -5 - -1 * -7) >= (-1 * 0 - 3 * -10))) and ((-14 + -1) < (-3 * 6 * 1 * 4)))) and (((芬兰的首都是华沙。) or ... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 44285193,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not not ((((((巴西位于南极洲。) and ((2 ** 1) > (12 + -15))) or (36是质数。... |
logic-v2 | 给定以下布尔表达式：
A. (((1981年是闰年。) or (not not (锰的化学符号是U。)) or ((硅的化学符号是Si。) and (((21 % 7) == (-9 * -3 - -5 * 8)) and ((4 * -20) < (-17 * -1))))) or ((not (肯尼亚的首都是内罗毕。)) and (南极洲是最冷的大陆。) and ((-3 + -16) <= (-4 - 13) <= (2 * 6 * 0 * -4)))) and ((not ((((2 + -1) < (4 ** 1)) or ((-16 - 10) != (2 * -6 + -10 * 8))) and (279是斐波那契... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 72828145,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. (((1981年是闰年。) or (not not (锰的化学符号是U。)) or ((硅的化学符号是Si。) and ((... |
logic-v2 | Given the following boolean expressions:
A. ((((197 is an even number.) and ((-3 * 7 * 9 * 3) <= (9 * -8 - 2 * 4) <= (7 % 1))) and (((The chemical symbol for Silver is Ag.) or (not not (The chemical symbol for Potassium is K.))) or (((17 * -9) < (-20 + -13)) and (((-6 + -19) == (-2 - 8)) or ((4 + 10) == (-12 * -15))))... | {
"game_data": {
"answer": "C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 89970440,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. ((((197 is an even number.) and ... |
logic-v2 | 给定以下布尔表达式：
A. not not (not not (((蜻蜓是哺乳动物。) and (not not ((23 % 7) >= (-1 * 11))) and (((2012年奥运会在伦敦举办。) or ((2 ** 3) <= (-1 + 19))) and (not not ((16 - 6) < (-14 * -10) < (13 + 13))))) and (not (not ((氧气在常温下是气体。) and ((15 - -15) < (-19 * -16) < (-3 * 2)))))))
B. not (not not (((((章鱼有2条腿。) or (1928年奥运会在阿姆斯特丹举办。)) or (... | {
"game_data": {
"answer": "B,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 59834819,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. not not (not not (((蜻蜓是哺乳动物。) and (not not ((23 % 7) >= (-1 ... |
logic-v2 | Consider the following logical expressions:
A. not not ((not not (not (The 1952 Olympics were held in Helsinki.))) and (((Iron is a solid at room temperature.) and ((((11 * 11) < (0 + 19)) or (The currency of Egypt is the Krone.)) and ((8 - 18) < (35 % 4)))) and (((The currency of South Korea is the Won.) and ((12 + 1... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 66547591,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not not ((not not (not (The 1... |
logic-v2 | 给定以下布尔表达式：
A. ((((铅的化学符号是Pb。) and (42大于77。)) and ((13 + -11) < (-20 * -4) < (-6 + 3))) and (((1 * -7) == (19 + -16)) and (欧盟的货币是欧元。)) and ((-3 + 14) != (5 ** 2))) and (not ((越南位于非洲。) or ((45 % 2) < (24 % 9)))) and (not not (not (not not (地球是距离太阳第3近的行星。))))
B. not not (not not ((美国位于北美洲。) and (((-18 * 17) <= (4 - -18))... | {
"game_data": {
"answer": "B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 51719231,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. ((((铅的化学符号是Pb。) and (42大于77。)) and ((13 + -11) < (-20 * -4) ... |
logic-v2 | 研究以下逻辑语句：
A. ((((1958年是闰年。) and ((-10 + 0) >= (3 * -2 * 9 * -3))) or ((肯尼亚位于非洲。) or (1948年奥运会在巴塞罗那举办。))) and (加拿大的货币是美元。)) and ((((1980年奥运会在亚特兰大举办。) and (匈牙利的首都是布达佩斯。)) or (not not (第一次世界大战结束发生在1918年。))) or (((印度位于亚洲。) and (鸭子有6条腿。)) and ((6 * 8 - -7 * 5) >= (-11 + -18))))
B. ((((德国的首都是柏林。) and ((11 - -16) >= (4 % 7))... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 70668101,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. ((((1958年是闰年。) and ((-10 + 0) >= (3 * -2 * 9 * -3))) or ((肯尼亚... |
logic-v2 | Given the following boolean expressions:
A. not ((((A frog has 4 legs.) or ((not ((-4 * -7) < (-8 + 11) < (1 ** 1))) or (((9 * -6 + -8 * 7) <= (-2 * -18)) or ((9 - 9) > (5 ** 3))))) or ((4 * 8) == (-2 * -5)) or (((0 * -7 + -3 * 5) > (6 * 0 * -8 * 7)) and (not (not (Mercury is the 1st planet from the Sun.))))) and (not... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 66952487,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not ((((A frog has 4 legs.) or ((not... |
logic-v2 | Examine these expressions:
A. not (not (((not not (not (Water is a liquid at room temperature.))) or (not (The 1948 Olympics were held in Tokyo.)) or ((((-6 * 10 + -9 * -10) < (-6 * -8) < (-7 * 1 - -9 * 2)) and ((2 ** 2) <= (10 * -15))) or ((The chemical symbol for Magnesium is Pb.) or ((2 * -7 - -4 * -4) == (11 - 2))... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 14710778,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. not (not (((not not (not (Water is a liquid ... |
logic-v2 | 给定以下布尔表达式：
A. (not not (((((葡萄牙的首都是巴西利亚。) or (铅的化学符号是Zn。)) and (((7 * 3 * 7 * 7) != (-9 + 19)) and ((-17 - 2) <= (-11 - 6)))) or ((蚊子是爬行动物。) or (1972年奥运会在慕尼黑举办。)) or ((1 - -11) != (-12 + -18))) and (((猫头鹰是鸟类。) or (古巴的首都是哈瓦那。)) and ((not ((-9 + -19) == (-10 + -10))) or ((1 ** 3) > (-15 * 18)))))) and (not not ((not (no... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 81688716,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not not (((((葡萄牙的首都是巴西利亚。) or (铅的化学符号是Zn。)) and (((7 * 3 * 7 * ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not (not (not (The currency of Japan is the Naira.))))
B. not not (((The capital of Germany is Kyiv.) and (India is in South America.)) or (((Steam is a gas at room temperature.) or (Jupiter is the 5th planet from the Sun.)) and ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 27256576,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Study the following logical statements:
A. not not ((((-1 + -13) >= (38 % 3)) and (Water is a liquid at room temperature.)) or ((The currency of New Zealand is the Dollar.) or (A bee is an insect.)))
B. not not ((((-9 * -13) >= (6 + 7)) and ((-15 + 20) < (12 % 3))) and ((Carbon dioxide is a solid at room temperature.)... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 5565521,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. not not ((((-1 + -13) >= (38 % 3)) and... |
logic-v2 | Evaluate each expression below:
A. not not ((not not (not not ((The capital of Sweden is Stockholm.) or ((-16 - -1) >= (19 % 5))))) or (Humans only use 10% of their brain.) or (((Chile is in Antarctica.) or (((1 * -6 * 0 * -4) >= (2 ** 2)) or ((-3 - -11) < (33 % 3) < (2 * -1 - 5 * 5)))) and ((not not ((6 * -8 * 10 * -... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 5568303,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not not ((not not (not not ((The capital o... |
logic-v2 | Analyze these boolean expressions:
A. (not not (not not (((((-4 * -14) == (-17 + -14)) or ((-5 * -5 - -1 * 4) > (9 - 9))) and ((A eagle is a bird.) or (There are 28 days in May.))) or (1981 is a leap year.) or ((20 + -17) < (3 - 2))))) or ((((The capital of France is Amsterdam.) or (not (not not (The capital of Mexico... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 13958360,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (not not (not not (((((-4 * -14) == (-17... |
logic-v2 | 分析以下逻辑表达式：
A. ((not ((((12 * -16) < (5 ** 1)) or (德国位于欧洲。)) and ((141是完全平方数。) and (新加坡的货币是比索。)))) and (not not ((火星是距离太阳第6近的行星。) or (锡的化学符号是U。))) and ((not not ((第二次世界大战开始发生在1941年。) and (1972年奥运会在慕尼黑举办。))) or ((8 * -1 - -4 * -10) >= (14 - 10)) or ((not (磷的化学符号是Co。)) or (not not (智利的货币是比索。))))) or (not not (not not (no... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 5829434,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. ((not ((((12 * -16) < (5 ** 1)) or (德国位于欧洲。)) and ((141是完全平方数。) and... |
logic-v2 | Analyze these boolean expressions:
A. not (not (not ((The currency of Denmark is the Krone.) and (((21 % 5) <= (3 - -16)) and (2088 is a leap year.)) and (not not (2038 is a leap year.)))))
B. not (((not ((((4 ** 3) == (-14 * -6)) or (The first Olympic Games of modern era occurred in 1896.)) or ((Venus is the 2nd plan... | {
"game_data": {
"answer": "A,B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 11909226,
"true_count": 5
},
"question": "Analyze these boolean expressions:\n\nA. not (not (not ((The currency of De... |
logic-v2 | 审视以下逻辑表达式：
A. not (((苏联解体发生在1991年。) and (丹麦的首都是哥本哈根。)) and ((12 * -11) < (-13 * 3) < (-9 * 16)))
B. (火星是距离太阳第2近的行星。) and (((-6 + -9) != (4 * -4 + 9 * 0)) and ((38 % 5) < (5 * -6 - -8 * 8) < (16 + 16))) and ((18 - -20) <= (8 * -1))
C. ((越南的货币是越南盾。) or (((-19 - -7) <= (16 * -14)) and (袋鼠有2条腿。))) and (not (not (71是偶数。)))... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 61009014,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. not (((苏联解体发生在1991年。) and (丹麦的首都是哥本哈根。)) and ((12 * -11) < (-1... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((((Mercury is the 4th planet from the Sun.) and ((1 * -3) > (-18 + -19))) and ((The capital of Ukraine is Kyiv.) or (The Moon orbits the Earth.))) or ((The square root of 121 is 8.) and ((12 + 2) <= (12 - -1) <= (0 * -9 * 10 * 3))) or ((... | {
"game_data": {
"answer": "A,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 5100387,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\... |
logic-v2 | Below are several boolean expressions:
A. not (not ((not ((3 * -10 + 1 * -6) > (4 * 20))) or (((((5 ** 2) >= (8 + 0)) and (481 is a Fibonacci number.)) or (((14 + 0) >= (5 % 2)) or (The 1988 Olympics were held in Moscow.))) and (Oxygen is necessary for human survival.))))
B. not (not not ((not not ((2063 is a leap yea... | {
"game_data": {
"answer": "A,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 96599957,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. not (not ((not ((3 * -10 + 1 *... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (((((-3 * 7 - 9 * 2) == (20 - 8)) or ((A bird has 100 legs.) and ((-10 * -7 + -6 * 10) < (19 + -7)))) and (not not (The chemical symbol for Gold is Au.))) or (((259 is a perfect square.) and ((-20 - 4) < (2 % 6) < (15 % 4))) or ((... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 5631717,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA... |
logic-v2 | Examine these expressions:
A. not not ((((China is in Africa.) or (((-4 * 7 + 4 * 5) <= (17 * -15)) or (The capital of Chile is Santiago.))) or (not ((The chemical symbol for Chlorine is H.) and ((-16 * -20) < (3 * -1 + 7 * 5))))) or (not ((12 % 9) <= (9 * -8 + 9 * -8))) or (not ((not not ((-10 + 11) >= (8 * 2 * 0 * -... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 21927552,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not ((((China is in Africa.) or (((-4 * 7 ... |
logic-v2 | 下面是几个布尔表达式：
A. 光速比声速快。
B. (((水蒸气在常温下是气体。) or (((菲律宾的货币是越南盾。) or (哥伦比亚的货币是兹罗提。)) and (((-8 * 5 * -1 * 8) == (-2 * 3 * 1 * 6)) or ((1 - -16) > (41 % 5))))) or ((12 % 8) <= (17 * -16)) or (not not ((((-4 - -14) <= (5 * 1 + -2 * 10)) and (第二次世界大战结束发生在1944年。)) and (加拿大位于欧洲。)))) and (not (not (匈牙利的货币是索尔。)))
C. not not (not ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 11203130,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. 光速比声速快。\nB. (((水蒸气在常温下是气体。) or (((菲律宾的货币是越南盾。) or (哥伦比亚的货币是兹罗提。))... |
logic-v2 | Given the following boolean expressions:
A. not not (((((3 - -19) <= (0 * -7 + 1 * -6)) and (Alcohol is a solid at room temperature.)) or (The chemical symbol for Uranium is U.)) and (Russia is in Europe.) and (((3 ** 2) != (-12 - -12)) and (Light travels faster than sound.)))
B. (not ((not ((6 * -18) == (19 + 10))) o... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 63804905,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not not (((((3 - -19) <= (0 * -7 +... |
logic-v2 | Review these logical expressions:
A. not (not not ((not ((not (The first iPhone was released occurred in 2007.)) and ((2048 is a leap year.) or (World War II began occurred in 1939.)))) and (((-12 * -16) < (15 - -3)) and ((-4 - 12) >= (1 ** 3)) and ((not not (A bear is a mammal.)) or (Steam is a solid at room temperat... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 14314237,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. not (not not ((not ((not (The first i... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 美国的货币是埃及镑。
B. (((-1 * 15) <= (-17 * 19)) and ((-13 + 12) > (-10 * -10))) and (阿根廷的首都是布宜诺斯艾利斯。)
C. 章鱼有8条腿。
D. not not (肯尼亚的首都是首尔。)
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": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 54888778,
"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. 美国的货币是埃及镑。\nB. (((-1 * 15) <= (-17 * 19)) and ((-13 + 1... |
logic-v2 | Below are several boolean expressions:
A. (not (not (not not ((-10 * 9 - -6 * -8) <= (6 - 10) <= (12 + 5))))) or (not not (not ((not not (((3 ** 1) < (6 * 1 * 8 * -6)) or (The capital of Australia is Berlin.))) and ((not ((17 + 15) < (-6 * 6 + -8 * 7))) and (((-7 + -9) <= (-18 * -7)) and (Water is a solid at room temp... | {
"game_data": {
"answer": "A,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 66493377,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (not (not (not not ((-10 * 9 - -6 ... |
logic-v2 | Study the following logical statements:
A. not not ((not ((((14 * 12) != (-18 + -9)) and ((37 % 4) < (5 ** 2))) and (not (The currency of Argentina is the Peso.)))) and (not (not not (not (The chemical symbol for Neon is O.)))))
B. not not (((((The chemical symbol for Hydrogen is U.) and (A pig has 4 legs.)) or ((-18 ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 51681960,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not ((not ((((14 * 12) != (-18 ... |
logic-v2 | 考虑以下布尔表达式：
A. not not (not (((6 - -15) < (8 * 7 + 1 * -9)) and (钛的化学符号是Ti。)))
B. (((镍的化学符号是Ni。) and ((2 % 8) >= (0 * -10 - -4 * 5))) and (天王星是距离太阳第7近的行星。)) and (海王星是距离太阳第8近的行星。)
C. (((十二月有31天。) and (1968年奥运会在洛杉矶举办。)) and (not not (人类每只手有五个手指。))) or ((人类每只手有五个手指。) or (not not ((-2 - 13) > (-10 * -2 * 8 * -6))))
D. (not... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 84068120,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not not (not (((6 - -15) < (8 * 7 + 1 * -9)) and (钛的化学符号是Ti。)))\... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (not (锌的化学符号是Zn。))
B. (铜在常温下是气体。) or (not ((-7 * 20) >= (16 + 8))) or (((-2 * -6 - 0 * 6) > (-9 * 9 * 4 * -2)) or (金星是距离太阳第2近的行星。))
C. (not not ((1920年奥运会在慕尼黑举办。) and (912是斐波那契数。))) or (((156是完全平方数。) and (鲸鱼是鱼类。)) or (((-7 * 2 * 0 * -6) <= (-17 + 10)) or ((-17 - 14) < (2 * 3 * -5 * 2) < (4... | {
"game_data": {
"answer": "A,B,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 93180332,
"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 (锌的化学符号是Zn。))\nB. (铜在常温下是气体。) or (not ((-7... |
logic-v2 | 给定以下布尔表达式：
A. ((((not (not ((47 % 8) > (-5 * 4 + 8 * -3)))) or (not not ((钠的化学符号是P。) or ((-5 - 16) <= (3 * -4 + 7 * 6))))) and (not not (((氖的化学符号是S。) or ((2 % 9) >= (-16 * -19))) and ((水星是距离太阳第1近的行星。) and (1928年奥运会在阿姆斯特丹举办。))))) and (not not (((8 * 7 * 7 * 7) > (4 ** 1)) or (((-13 * -3) < (6 * -8 + 8 * -6) < (-18 * -9... | {
"game_data": {
"answer": "B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 33754282,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. ((((not (not ((47 % 8) > (-5 * 4 + 8 * -3)))) or (not not ((钠的化学... |
logic-v2 | Examine these expressions:
A. not ((1 ** 3) == (-8 + 15))
B. not (((45 % 7) <= (4 + 4) <= (-1 * 4)) or (not ((18 % 8) == (1 - 4))))
C. ((Chile is in Europe.) or ((46 % 5) >= (-17 * -5))) and ((not ((7 + -11) < (8 * -10 * 4 * 4))) and (The capital of Thailand is New Delhi.))
Which ones are true? List the labels of all... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 25042122,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not ((1 ** 3) == (-8 + 15))\nB. not (((45 % 7) <= ... |
logic-v2 | 下面是几个布尔表达式：
A. not (not not (not (((((-3 + 11) != (17 * -18)) and ((2 * -13) >= (4 * 1 - 4 * 2))) or ((大象有4条腿。) or (2052年是闰年。))) or ((697是斐波那契数。) or ((十月有31天。) or ((2 ** 3) <= (2 * -4 + -5 * -5) <= (7 + 11)))))))
B. (not not (((((160是奇数。) and (二氧化碳在常温下是气体。)) or (16是质数。)) and ((2013年是闰年。) and ((8 % 3) < (-4 + 15) < (44... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 78128734,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not (not not (not (((((-3 + 11) != (17 * -18)) and ((2 * -13) >... |
logic-v2 | Evaluate each expression below:
A. (not not ((not not (not (The 1924 Olympics were held in Paris.))) and (The currency of Norway is the Krone.))) or ((not not (not not ((1 + 12) >= (13 - 13)))) and (not (((9 + 3) <= (-4 + 10)) and (Bats are blind.)))) or (((not ((The 1920 Olympics were held in Antwerp.) or (Neptune is... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 15541385,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (not not ((not not (not (The 1924 Olympic... |
logic-v2 | Below are several boolean expressions:
A. not not ((not not (Mercury is the 1st planet from the Sun.)) and (((-11 + -11) >= (3 ** 1)) and (Mars is the 5th planet from the Sun.)))
B. ((7 + 8) > (5 * -1)) and ((((1 + -13) >= (-6 * -5 - 5 * 6)) or ((9 * -9 - -6 * -2) > (-4 * -1 + -9 * 5))) or ((Mercury is a liquid at roo... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 10524391,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not not ((not not (Mercury is th... |
logic-v2 | 考虑以下布尔表达式：
A. (((-13 + -9) <= (-11 + -19) <= (4 ** 2)) and ((0 + 18) > (-7 * 1 + -10 * -5))) or (((2008年奥运会在北京举办。) and ((2 * 1) <= (-17 - -7))) and ((17 - -9) >= (43 % 6)))
B. ((((-9 + -19) <= (-20 - -4) <= (-17 + -16)) and ((4 * 4 + -1 * 0) >= (-12 + 6))) and (((-13 + -7) != (11 % 9)) or (722是斐波那契数。))) and (not not (... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 34061152,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. (((-13 + -9) <= (-11 + -19) <= (4 ** 2)) and ((0 + 18) > (-7 * 1... |
logic-v2 | 下面是几个布尔表达式：
A. ((-6 * 4) <= (-16 + 14)) or ((32 % 9) < (6 - 16))
B. (((九月有28天。) and ((12 * 12) >= (31 % 8))) and ((新西兰位于大洋洲。) and (墨西哥的首都是布加勒斯特。))) and (((8 * -2 + -9 * 0) == (5 ** 3)) and (现代奥运会首届举办发生在1896年。))
C. (not ((水在海平面上的沸点是100摄氏度。) or ((17 % 8) > (5 ** 2)))) and (not not (第二次世界大战开始发生在1938年。)) and ((大象有4条腿。) or... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 92202384,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. ((-6 * 4) <= (-16 + 14)) or ((32 % 9) < (6 - 16))\nB. (((九月有28天。)... |
logic-v2 | 研究以下逻辑语句：
A. (-14 * 12) < (-17 * -14)
B. (((-5 + -2) >= (20 * 4)) and ((12 * -3) != (9 * 8 + 4 * 10))) and ((-20 - -17) >= (10 + 18))
C. (((11 + -1) == (3 - 1)) and (氯的化学符号是Cl。)) and ((4 ** 3) != (-18 - 12))
D. (((9 - 12) <= (-17 * 4)) and (20是偶数。)) or ((龙虾有0条腿。) or ((13 - -8) <= (3 + -4)))
E. (英国的货币是英镑。) and (马来西亚的货币... | {
"game_data": {
"answer": "A,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 3441425,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (-14 * 12) < (-17 * -14)\nB. (((-5 + -2) >= (20 * 4)) and ((12 * -... |
logic-v2 | 考虑以下布尔表达式：
A. ((((3 - -9) >= (-2 - -16)) and (((3 ** 2) >= (-12 + -1)) and (not ((21 % 2) >= (12 * 0))))) or (not not (((第一次世界大战开始发生在1914年。) or (猫有4条腿。)) and (((-7 + 8) > (8 * -6 - 6 * -3)) and (哥伦比亚位于南美洲。))))) or (((not not (((2 ** 2) > (-10 * -5 - -10 * 9)) or (第二次世界大战结束发生在1945年。))) and ((-15 - -15) > (9 + 3))) and ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 33939306,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. ((((3 - -9) >= (-2 - -16)) and (((3 ** 2) >= (-12 + -1)) and (no... |
logic-v2 | 检验这些表达式：
A. (((((6 * 19) > (7 - 0)) or (not not (碳的化学符号是C。))) and (not ((芬兰的首都是赫尔辛基。) or ((12 - -17) != (-16 * -2))))) and (not (((地球绕太阳运转。) and ((-13 * 3) > (30 % 3))) or (not not ((-18 - 2) == (10 * -9)))))) and (((((58是偶数。) and (印度的货币是卢比。)) or ((南非位于非洲。) and (猫头鹰是昆虫。))) and (not ((384是斐波那契数。) and (168是奇数。)))) and (... | {
"game_data": {
"answer": "C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 8381750,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (((((6 * 19) > (7 - 0)) or (not not (碳的化学符号是C。))) and (not ((芬兰的首... |
logic-v2 | Consider the following logical expressions:
A. ((not not (not not (not not (The capital of Venezuela is Jakarta.)))) or ((The Great Wall of China was built in one year.) or (not ((-11 - -1) != (-10 * -15))) or (not not (The capital of France is Paris.)))) and ((not (((7 + -14) > (-4 * -10)) or (not (A cat has 4 legs.)... | {
"game_data": {
"answer": "B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 58383843,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. ((not not (not not (not not... |
logic-v2 | 评估以下每个表达式：
A. not not (not not (not not (((not (63能被12整除。)) or (新西兰的货币是新西兰元。)) and (((-13 + -11) >= (33 % 4)) or ((14 - 1) <= (-10 - 1) <= (17 + 17))) and (((金的化学符号是Au。) and (比利时的首都是布鲁塞尔。)) or (not not (植物通过光合作用产生氧气。))))))
B. not ((((not not (鲨鱼是哺乳动物。)) and (not (not not (鸟有2条腿。)))) and (((((-5 * -7 - 9 * -3) != (4 **... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 9715126,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not (not not (not not (((not (63能被12整除。)) or (新西兰的货币是新西兰元。)) an... |
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