env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 检验这些表达式：
A. not not (((氮的化学符号是P。) and (法国位于欧洲。)) or (墨西哥的货币是谢克尔。))
B. (四月有29天。) or (not not (英国位于欧洲。))
C. not not (not not (((-16 * -16) >= (4 * 4 - 9 * 7)) and ((12 + -5) != (17 % 10))))
D. not (中国位于北美洲。)
哪些是真的？在 \boxed{} 中列出所有为真选项的标识，用逗号分隔。 | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 54517964,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not not (((氮的化学符号是P。) and (法国位于欧洲。)) or (墨西哥的货币是谢克尔。))\nB. (四月有29天... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((5 % 7) <= (1 - -19)) or (The capital of Italy is Rome.)
B. (not (not (Humans have three lungs.))) or (not not (Silver is a gas at room temperature.))
C. not (((Diamonds are made of carbon.) or (Chile is in Antarctica.)) and (((-8 * -3 -... | {
"game_data": {
"answer": "A,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 52031338,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | Consider the following logical expressions:
A. not ((not not (not (Oxygen is necessary for human survival.))) and ((-14 * -18) <= (5 - 3) <= (2 + 7)))
B. ((((61 is a prime number.) and ((13 * 2) >= (8 * -11))) or (The currency of India is the Peso.)) or ((10 * 15) <= (-16 + -18)) or (A beetle is a reptile.)) and ((The... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 18147299,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not ((not not (not (Oxygen is... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((not (企鹅是爬行动物。)) and (not (((1 * -2 - -10 * 1) == (3 ** 2)) and (not not (太平洋是最大的海洋。))))) or (not (not (罗马尼亚的首都是伯尔尼。))))
B. not (not ((((((4 * 10 + -1 * 9) == (-16 * 10)) and ((5 % 6) >= (3 ** 1))) and (not ((2 + 1) < (0 * -5) < (16 - -9)))) or (土耳其的首都是安卡拉。)) or ((((地球是距离太阳第8近的行星。) and ((18 - -... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 2018264,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. not not (((not (企鹅是爬行动物。)) and (not (((1 * -2 - -10 * 1) == (... |
logic-v2 | 评估以下每个表达式：
A. not (((not ((((8 * 6) <= (5 ** 1) <= (12 * 16)) and ((3 - -6) <= (4 * -19) <= (-2 + 11))) and (not (183是奇数。)))) and (((((-9 * 10 + -1 * 6) < (2 * 4 - -5 * 7) < (-10 * 10 * -10 * 4)) and (苍蝇是昆虫。)) and (not ((31 % 2) != (-17 - -6)))) and (人类有2条腿。))) and ((not not ((7 - -9) < (-15 * 9) < (-3 - 1))) and (人类只... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 48923796,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not (((not ((((8 * 6) <= (5 ** 1) <= (12 * 16)) and ((3 - -6) <= (... |
logic-v2 | 审视以下逻辑表达式：
A. not (not (not ((((9 * 4 * 8 * -3) != (3 * 10 - 4 * -10)) and (not (印度位于亚洲。))) and (not (2016年奥运会在里约热内卢举办。)) and ((((-11 + 3) == (3 ** 3)) or ((15 + 6) <= (5 ** 3))) or (not not ((0 * -9 * -6 * -10) >= (11 - -11)))))))
B. (not (not (not not ((not (2025年是闰年。)) or (not not ((10 * 3 + -1 * 7) <= (4 * 8) <= (... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 849053,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not (not (not ((((9 * 4 * 8 * -3) != (3 * 10 - 4 * -10)) and (not (印... |
logic-v2 | Given the following boolean expressions:
A. The currency of Hungary is the Forint.
B. not not (((15 * 5) == (-5 - 14)) and ((8 + 20) <= (2 * 1) <= (1 * -3 + 9 * 4)))
C. (The capital of Turkey is Santiago.) and ((-17 * -11) <= (-7 * 14) <= (-1 * 3))
D. ((Venus is the 2nd planet from the Sun.) or (Russia is in Oceania.)... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 60579944,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. The currency of Hungary is the... |
logic-v2 | Below are several boolean expressions:
A. (-16 + 19) >= (-8 * 8 - 0 * 7)
B. (((12 + -16) == (-6 + -1)) and ((3 ** 1) == (2 ** 2))) or ((The Moon orbits the Earth.) and ((6 * -2 - 1 * 4) != (-3 - -19)))
C. ((The 1952 Olympics were held in Rio de Janeiro.) and (The chemical symbol for Neon is Ne.)) and (The Pacific Ocea... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 12055855,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. (-16 + 19) >= (-8 * 8 - 0 * 7)\n... |
logic-v2 | Below are several boolean expressions:
A. not (Water boils at 100 degrees Celsius at sea level.)
B. The Moon orbits the Earth.
C. (((Neptune is the 8th planet from the Sun.) or (There are 29 days in October.)) or (((-2 * 10 + 5 * 4) > (7 + 19)) or ((14 * -17) > (8 * 2 + -10 * 7)))) and ((The capital of Peru is Buenos ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 66387080,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not (Water boils at 100 degrees Celsiu... |
logic-v2 | 研究以下逻辑语句：
A. (-6 - 16) < (1 * 3 + -5 * 6)
B. not not ((委内瑞拉的首都是加拉加斯。) and ((-16 * -11) <= (4 * -10 * -6 * -3) <= (36 % 4)))
C. (袋鼠有2条腿。) and (美国的货币是里拉。)
D. 地球绕太阳运转。
哪些语句为真？在 \boxed{} 中填入所有为真的选项标识，用逗号分隔。 | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 90641364,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (-6 - 16) < (1 * 3 + -5 * 6)\nB. not not ((委内瑞拉的首都是加拉加斯。) and ((-16... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((Copper is a gas at room temperature.) or (not not ((-8 - -8) != (3 - 11))))
B. (not (not (The currency of Switzerland is the Franc.))) or (not ((6 - 12) == (3 ** 3))) or (not not (((-4 * -7 + 6 * -10) <= (48 % 7)) and (Nitrogen ... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 19406762,
"true_count": 6
},
"question": "Evaluate the following boolean expressions and select the ones that are t... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((((32 % 6) < (-3 * -3 - 7 * -8)) and ((There are 31 days in October.) and (Diamond is a gas at room temperature.))) and (Uranus is the 1st planet from the Sun.)) or ((Helium is a gas at room temperature.) or ((-14 - -16) > (-2 - -4)))) and (not (not not (((India is i... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 53437293,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((((32 % 6) < (-3 * -3 - 7 ... |
logic-v2 | 给定以下布尔表达式：
A. (not not (((not ((7 * 2 * 1 * 6) >= (-1 * -12))) or (not (法国大革命开始发生在1789年。))) or (((捷克的货币是克朗。) or (1924年奥运会在巴黎举办。)) and ((8 * -1 - 5 * 7) > (-2 - 16))))) or (((水星是距离太阳第1近的行星。) and (not (汞在常温下是液体。))) and (((((-5 * 19) != (-2 * -7 + -9 * 10)) and (人类有100条腿。)) and ((鸡有8条腿。) or ((1 * -14) > (40 % 3)))) and (... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 32185074,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not not (((not ((7 * 2 * 1 * 6) >= (-1 * -12))) or (not (法国大革命开始发... |
logic-v2 | Evaluate each expression below:
A. (((The chemical symbol for Platinum is Pt.) and ((not ((-13 - -13) > (15 - -10))) and ((-2 - 20) < (11 - 9)))) or (((not ((19 - 1) >= (-4 - 15))) and (2057 is a leap year.)) and ((2022 is a leap year.) or (The currency of Argentina is the Forint.)) and ((-7 * -10) == (-15 * -4)))) or... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 54419339,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (((The chemical symbol for Platinum is Pt... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((not (not ((3 ** 2) >= (-12 + -17)))) or ((Oil is a solid at room temperature.) and (not ((The chemical symbol for Phosphorus is P.) and ((21 % 9) < (11 + 11))))) or (not (not not ((((8 + -5) >= (12 * 19)) and ((-5 + 6) > (-13 + ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 34316504,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 评估以下每个表达式：
A. not ((not not ((16 + -6) > (-5 - -7))) or ((-6 - -12) <= (2 ** 1)))
B. ((not not (153是完全平方数。)) and ((第一次世界大战结束发生在1918年。) or (十二月有31天。))) and ((((2 ** 3) > (2 * 3)) or (莱特兄弟首次飞行发生在1903年。)) and ((58是质数。) and (沙特阿拉伯的首都是利雅得。)))
C. ((not (龙虾有10条腿。)) and (not (螃蟹有100条腿。))) and (not (((0 + -1) >= (3 ** 2)) and ... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 66328665,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not ((not not ((16 + -6) > (-5 - -7))) or ((-6 - -12) <= (2 ** 1... |
logic-v2 | 下面是几个布尔表达式：
A. (not (((((15 - -10) > (-1 * 9 * 7 * 9)) and (鲤鱼是哺乳动物。)) or (((大象有6条腿。) and ((2 * -4 + -6 * 6) >= (20 + -1))) and ((-1 * -7 * 4 * 6) == (7 * 1)))) or (not ((-5 * -18) <= (11 + 8) <= (9 * -9 + 8 * -10))))) or (not ((not not (not (not not (第一次世界大战结束发生在1918年。)))) or ((not (((9 - 9) != (3 ** 3)) and ((-18 * ... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 52542217,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (not (((((15 - -10) > (-1 * 9 * 7 * 9)) and (鲤鱼是哺乳动物。)) or ((... |
logic-v2 | Given the following boolean expressions:
A. not ((There are 30 days in April.) and (The chemical symbol for Hydrogen is H.))
B. (((Copper is a solid at room temperature.) and (There are 29 days in July.)) or ((Mars is the 5th planet from the Sun.) and (A butterfly has 8 legs.))) and (((The capital of Cuba is Havana.) ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 34635352,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not ((There are 30 days in April.) a... |
logic-v2 | 研究以下逻辑语句：
A. (((((水蒸气在常温下是固体。) and (柏林墙倒塌发生在1984年。)) and (not ((3 * 4 - -7 * -3) < (1 * -9 + 2 * 8)))) and ((天王星是距离太阳第7近的行星。) and (((-10 - -1) != (7 * 14)) and ((-12 + -9) == (2 * 7 + -6 * 0))))) and (((1 - -4) != (-3 * 2)) and ((-7 * 14) > (-8 * -14)))) or ((南非的货币是人民币。) or (((10 * 4) <= (2 ** 3)) or (美国宣布独立发生在1776年。)... | {
"game_data": {
"answer": "A,B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 67713408,
"true_count": 7
},
"question": "研究以下逻辑语句：\n\nA. (((((水蒸气在常温下是固体。) and (柏林墙倒塌发生在1984年。)) and (not ((3 * ... |
logic-v2 | 研究以下逻辑语句：
A. not ((not ((((19 + 10) <= (5 - 16)) or (not not (丹麦的货币是克朗。))) and ((2067年是闰年。) or ((8 - 18) >= (32 % 2))) and ((not (26是斐波那契数。)) or (十二月有30天。)))) and (not not ((瑞典的货币是克朗。) and (not (not not (2072年是闰年。))))))
B. not (not ((not not ((((-1 - -2) == (3 ** 3)) and (秘鲁的货币是索尔。)) or ((1912年奥运会在斯德哥尔摩举办。) and (2085年... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 34496763,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not ((not ((((19 + 10) <= (5 - 16)) or (not not (丹麦的货币是克朗。))) and... |
logic-v2 | Consider the following logical expressions:
A. not ((0 + 14) < (-19 + -14) < (4 ** 2))
B. ((The chemical symbol for Manganese is Mn.) or ((The chemical symbol for Tin is Sn.) and (Mercury is the 6th planet from the Sun.))) and (((4 ** 1) > (-10 * 2 * -9 * 6)) or (Germany is in Antarctica.)) and ((((5 ** 3) < (20 - -15... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 22315814,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. not ((0 + 14) < (-19 + -1... |
logic-v2 | Consider the following logical expressions:
A. (not ((((1 + -13) != (11 * 1)) or (Australia is in Asia.)) and (The chemical symbol for Platinum is Ca.))) or ((The Moon produces its own light.) or ((16 - -8) <= (7 * 7 * 1 * 5) <= (4 ** 1)) or (The 2000 Olympics were held in Montreal.))
B. (((not (The currency of Malays... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 41756805,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. (not ((((1 + -13) != (11 ... |
logic-v2 | Study the following logical statements:
A. not not ((-1 - -16) >= (-3 + -3))
B. not (((10 - -9) <= (-10 * 14)) or (((-9 - -8) > (-9 * 14)) or (There are 30 days in February.)))
C. not ((28 % 1) > (-10 + -4))
D. (The currency of Hungary is the Forint.) or ((-12 + 9) <= (4 ** 2)) or (not (Humans have three lungs.))
E. n... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 23084841,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not not ((-1 - -16) >= (-3 + -3))... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not (((8 * -9 * -10 * -6) > (15 * 13)) and (Thailand is in Asia.))) or ((5 * 4 - -1 * 8) >= (5 ** 3))
B. (The chemical symbol for Iron is Fe.) and ((not (The capital of Spain is Madrid.)) and ((A cow has 8 legs.) and ((-2 - -11) > (-14 * -20))))
C. (Sound travels ... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 65172418,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not (((8 * -9 * -10 *... |
logic-v2 | 检验这些表达式：
A. ((-3 * 3 + 4 * -9) != (8 * 7 * -10 * -2)) or (not not ((2 ** 1) < (-4 * -10))) or (水星是距离太阳第1近的行星。)
B. (((瑞士的首都是墨西哥城。) or ((-6 + 3) == (18 * -15))) and ((捷克的货币是韩元。) and (以色列的货币是比索。))) or (((-8 * 15) > (7 * -2)) and ((1 ** 3) > (19 + 5))) or (((中国位于亚洲。) and ((-16 * -2) == (44 % 5))) or (not not ((-9 + -20) <... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 76401501,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. ((-3 * 3 + 4 * -9) != (8 * 7 * -10 * -2)) or (not not ((2 ** 1) < ... |
logic-v2 | 研究以下逻辑语句：
A. ((((-2 + -3) < (-8 + -19) < (1 ** 1)) or (not ((荷兰的首都是阿姆斯特丹。) or ((5 ** 1) < (5 ** 1) < (7 * -2))))) and ((not not ((九月有29天。) and (铜在常温下是固体。))) or ((not ((-16 - -8) >= (0 + -11))) and (铜在常温下是气体。)))) or (((not (not ((-3 * 7 - -2 * 1) <= (-13 - -9)))) or (现代奥运会首届举办发生在1894年。) or (泰坦尼克号沉没发生在1912年。)) and (not ... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 82248327,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. ((((-2 + -3) < (-8 + -19) < (1 ** 1)) or (not ((荷兰的首都是阿姆斯特丹。) or ... |
logic-v2 | 检验这些表达式：
A. 氮的化学符号是Hg。
B. 3大于61。
C. (((8 * 2 - 6 * 1) < (-4 - -16)) or ((-2 * 0) == (4 ** 3))) and ((鳟鱼是鱼类。) or ((14 - 3) <= (12 * 2)))
D. not not (((45 % 4) >= (0 - 20)) and (韩国位于亚洲。))
E. ((火星是距离太阳第4近的行星。) and (五月有30天。)) or ((第一部iPhone发布发生在2012年。) or (尼日利亚的首都是新加坡。))
F. (-4 * -1) < (-12 + -10) < (5 * 9 - -4 * -1)
G. (... | {
"game_data": {
"answer": "C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 81286225,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. 氮的化学符号是Hg。\nB. 3大于61。\nC. (((8 * 2 - 6 * 1) < (-4 - -16)) or ((-... |
logic-v2 | 下面是几个布尔表达式：
A. not not (((五月有31天。) or (钻石在常温下是固体。)) and (((8 + -3) > (-2 - 18)) or (226是完全平方数。)))
B. not ((第一部iPhone发布发生在2007年。) and (305是斐波那契数。))
C. ((not ((-4 * 10) > (50 % 1))) and (((4 * 13) == (5 ** 2)) and ((-20 * 7) <= (19 - -15)))) or (((17 * -6) <= (0 - 9)) or (铅的化学符号是Pb。)) or ((not not (日本的货币是欧元。)) and (not ... | {
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"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 1401538,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not not (((五月有31天。) or (钻石在常温下是固体。)) and (((8 + -3) > (-2 - 18... |
logic-v2 | Study the following logical statements:
A. not not ((((Mercury is the 1st planet from the Sun.) or (The currency of European Union is the Euro.)) and (((-8 * -6 + -4 * 9) > (16 + -16)) and (A day on Earth is 24 hours.))) or ((The currency of Switzerland is the Franc.) and ((12 + -3) >= (5 ** 3))) or (Plants produce ox... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 14440592,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not ((((Mercury is the 1st plan... |
logic-v2 | Below are several boolean expressions:
A. not (The square root of 169 is 13.)
B. The 1964 Olympics were held in Tokyo.
C. ((-6 + 4) != (4 % 3)) or (The capital of Sweden is Ankara.)
D. (-6 - -9) <= (18 + 11) <= (5 - -6)
E. (The currency of Sweden is the Won.) or ((-20 * 2) < (-12 - -12))
F. (Saturn is the 6th planet f... | {
"game_data": {
"answer": "B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 27590141,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. not (The square root of 169 is... |
logic-v2 | 研究以下逻辑语句：
A. ((((17 - -1) != (-3 - 8)) or (not (not not ((-10 * 1 + 9 * 4) < (-6 * -8 - -2 * 9))))) and (not not (氮气在常温下是气体。))) or ((((青蛙有4条腿。) or (not not (一月有31天。))) or ((人体有206块骨头。) or ((1 * -5) <= (-4 + 19) <= (4 ** 3))) or (((钙的化学符号是N。) or (澳大利亚的货币是澳元。)) and (((10 * -9 * -3 * 3) >= (-6 + 13)) or ((-3 + 2) > (-9 *... | {
"game_data": {
"answer": "A,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 81790629,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. ((((17 - -1) != (-3 - 8)) or (not (not not ((-10 * 1 + 9 * ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((not ((((1 ** 1) >= (-8 * 7 - -7 * 6)) or (丹麦的首都是波哥大。)) and (not not ((-3 + -10) < (2 ** 3))))) and (((-14 * 7) == (-14 + 10)) and (not ((1956年奥运会在里约热内卢举办。) or ((-7 + -16) > (18 + 11)))))) and (not not (((not not (青蛙有8条腿。)) and (企鹅能飞翔。)) and (not ((瑞典的货币是里亚尔。) and (马来西亚的货币是林吉特。)))))) or (not... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 31670210,
"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 ((((1 ** 1) >= (-8 * 7 - -7 * 6)) or (丹麦的首都是波哥... |
logic-v2 | Analyze these boolean expressions:
A. (-10 + -6) < (6 * -10 * 9 * -8) < (8 * 1)
B. not (not not (The capital of Spain is Seoul.))
C. ((The currency of Saudi Arabia is the Euro.) or (There are 28 days in July.)) and (not ((5 * -4 + 9 * 6) > (-4 * -4 + 4 * 5)))
D. ((18 * 2) < (15 - -6)) and ((Germany is in Europe.) or (... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 91363872,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (-10 + -6) < (6 * -10 * 9 * -8) < (8 * 1... |
logic-v2 | 研究以下逻辑语句：
A. 美国位于亚洲。
B. not not (((0 + -15) <= (-20 * -7)) and (土星是距离太阳第2近的行星。))
C. (((8 - -3) < (-16 * 12)) or ((18 * -14) > (8 * -10 * -2 * -7))) and (钛的化学符号是Al。)
D. (((7 - -18) > (33 % 10)) and ((-17 - 16) < (-12 - -18))) and ((5 * -13) < (-8 + 3))
E. (not (锡的化学符号是Sn。)) and (((-9 + -15) < (-14 + 0) < (17 + -19)) an... | {
"game_data": {
"answer": "D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 8184971,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. 美国位于亚洲。\nB. not not (((0 + -15) <= (-20 * -7)) and (土星是距离太阳第2近的行... |
logic-v2 | Below are several boolean expressions:
A. (not not (((-18 * -13) <= (0 + 18)) and ((17 + 20) <= (11 + -4) <= (-16 * -2)))) or (not not (1959 is a leap year.)) or ((Alcohol is a liquid at room temperature.) and (not (A fish has 10 legs.)))
B. (Mercury is the 1st planet from the Sun.) and (The capital of Russia is Mosco... | {
"game_data": {
"answer": "A,B,C,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 29048229,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. (not not (((-18 * -13) <= (0 +... |
logic-v2 | 评估以下每个表达式：
A. (36 % 8) <= (-7 - -16) <= (19 * -14)
B. 铜的化学符号是Ag。
C. (18 * -20) <= (29 % 6) <= (18 - 6)
D. 1912年奥运会在雅典举办。
E. (((13 + 0) < (-14 * -2) < (49 % 5)) and ((3 ** 1) <= (4 ** 2) <= (-8 + -12))) or ((青蛙有4条腿。) or ((-20 - -4) >= (-3 * 6 * 9 * -4)))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 48637673,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (36 % 8) <= (-7 - -16) <= (19 * -14)\nB. 铜的化学符号是Ag。\nC. (18 * -2... |
logic-v2 | Evaluate each expression below:
A. 1921 is a leap year.
B. (((10 * -14) == (15 - 10)) or ((-5 + 3) > (10 * 0 * 9 * -10))) or (((-6 + -19) < (3 * 1) < (13 - 9)) and ((5 ** 1) > (8 * 1 + -3 * -2)))
C. (3 - -12) >= (5 ** 3)
D. The French Revolution began occurred in 1789.
E. ((The 1956 Olympics were held in Melbourne.) o... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 90983261,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. 1921 is a leap year.\nB. (((10 * -14) == (1... |
logic-v2 | Analyze these boolean expressions:
A. There are 31 days in January.
B. not not ((24 % 5) <= (20 * 9) <= (3 % 9))
C. New Zealand is in North America.
D. not not ((The 1900 Olympics were held in Paris.) and (There are 31 days in November.))
E. (((-13 + 17) >= (19 + 9)) and ((16 - 17) <= (3 ** 3))) and (The currency of M... | {
"game_data": {
"answer": "A,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 33434638,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. There are 31 days in January.\nB. not ... |
logic-v2 | 下面是几个布尔表达式：
A. (-7 * 8 + 1 * 6) < (-7 - -7) < (9 + 8)
B. (not not (马有4条腿。)) or ((智利的首都是圣地亚哥。) or (银的化学符号是Pt。))
C. not not (((-2 * 1 + -4 * 2) <= (2 + 18)) or (火星是距离太阳第4近的行星。))
D. (not not ((9 + 2) >= (-15 - -8))) and ((德国的首都是里斯本。) or ((9 * -8 * 2 * 7) < (-20 - -2)))
E. (西班牙的首都是惠灵顿。) and (not (铅的化学符号是K。))
F. (((-18 * 1... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 16072769,
"true_count": 5
},
"question": "下面是几个布尔表达式：\n\nA. (-7 * 8 + 1 * 6) < (-7 - -7) < (9 + 8)\nB. (not not (马有4条... |
logic-v2 | 审视以下逻辑表达式：
A. not ((铁在常温下是液体。) or ((9 + -10) >= (-15 * 2)))
B. (((15 * 16) == (1 ** 1)) or ((-10 * -8 - 8 * -5) != (-1 - 10))) and (not (苏联解体发生在1992年。))
C. not not (泰国的首都是哈瓦那。)
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 62143132,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not ((铁在常温下是液体。) or ((9 + -10) >= (-15 * 2)))\nB. (((15 * 16) == (... |
logic-v2 | Examine these expressions:
A. not not ((((-18 - 13) != (-19 - -15)) or (Venus is the 6th planet from the Sun.)) or (The 1928 Olympics were held in Amsterdam.))
B. not not (The chemical symbol for Magnesium is Hg.)
C. not (((A frog has 8 legs.) and ((4 ** 3) > (10 + 12))) or (not (Electricity flows faster than light.))... | {
"game_data": {
"answer": "A,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 42993199,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. not not ((((-18 - 13) != (-19 - -15)) or (Ve... |
logic-v2 | Consider the following logical expressions:
A. not not (((The chemical symbol for Oxygen is N.) and ((48 % 4) != (-18 * 14))) or (not not ((-17 + 7) > (16 * -12))))
B. not ((44 % 2) >= (-6 - -10))
C. not not ((-5 + 19) <= (13 % 7) <= (10 + 12))
Determine which expressions are true. List all true option labels separat... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 4228339,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not not (((The chemical symbol f... |
logic-v2 | Given the following boolean expressions:
A. ((36 % 10) < (-4 * -9)) or (((-14 * -20) < (-6 * 8 + -2 * -6)) or ((There are 28 days in July.) or (A crab has 10 legs.)))
B. ((((-10 - -16) <= (-19 + -6)) or (Mars is the closest planet to the Sun.)) or (((-17 - 16) < (-5 - 15)) or (Spiders are insects.))) and (Sharks are m... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 81593010,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. ((36 % 10) < (-4 * -9)) or (((... |
logic-v2 | Study the following logical statements:
A. not not (((-5 * 2 + 0 * 1) > (29 % 6)) and (Mars is the 5th planet from the Sun.))
B. (France is in Africa.) and (((1 * 6 + 5 * -6) >= (0 - -2)) and (46 is less than or equal to 91.))
C. ((There are 30 days in September.) and (There are 29 days in May.)) or (10 is an even num... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 27561094,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not (((-5 * 2 + 0 * 1) > (29 % ... |
logic-v2 | 考虑以下布尔表达式：
A. not ((not ((((4 * 20) == (-6 + 20)) or (墨西哥的货币是兹罗提。)) or ((智利位于南美洲。) and ((3 ** 3) >= (5 * -11))))) or (not not (((3 * 3 * -6 * -4) <= (10 - -16)) and (哥伦比亚的首都是布拉格。))))
B. ((not not (((-13 - 12) != (-2 * 10 - 4 * 1)) and (not not (南非的货币是欧元。)))) or (not (((水在常温下是液体。) or (1902年是闰年。)) and ((2008年奥运会在安特卫普举办。... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 44497050,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. not ((not ((((4 * 20) == (-6 + 20)) or (墨西哥的货币是兹罗提。)) or ((智利位... |
logic-v2 | 检验这些表达式：
A. ((not (((-4 * 5 * 5 * -7) <= (0 * 5 - -4 * -2) <= (6 + -4)) and (not (1904年奥运会在圣路易斯举办。)))) and ((not ((一月有28天。) and ((-14 + 10) < (1 * 7 + -7 * -8)))) and (((1952年奥运会在东京举办。) and (肯尼亚的首都是基辅。)) and ((莱特兄弟首次飞行发生在1902年。) and ((9 * 9) >= (2 - 10)))))) and ((not not ((5 ** 1) != (5 ** 2))) or ((((-20 - 3) <= (41... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 93853406,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. ((not (((-4 * 5 * 5 * -7) <= (0 * 5 - -4 * -2) <= (6 + -4)) and (n... |
logic-v2 | 分析以下逻辑表达式：
A. ((not not ((359是完全平方数。) and (二月有28天。))) or ((((德国位于大洋洲。) and ((-19 * -6) != (31 % 2))) and (not not (36的平方根是5。))) and (53是偶数。))) and ((not (((19 * -9) > (18 * 19)) or ((铜在常温下是固体。) and ((20 - -18) == (1 ** 2))))) or (not not (((六月有30天。) and (氧气对人类生存是必需的。)) and ((牛是哺乳动物。) or ((-1 * -7 * -2 * -3) > (-9 * 12... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 87392843,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. ((not not ((359是完全平方数。) and (二月有28天。))) or ((((德国位于大洋洲。) and ((-... |
logic-v2 | Given the following boolean expressions:
A. (not (not not ((((-17 * 13) >= (8 + 20)) or ((-9 - 10) != (8 * 14))) or (((6 - -12) < (29 % 6)) and ((7 + 4) == (9 - 8)))))) and ((not (not (not (South Korea is in Asia.)))) or ((not (The chemical symbol for Aluminum is Al.)) and (((34 % 7) < (1 * 3 + -4 * 5)) or ((-20 * -9)... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 30617487,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (not (not not ((((-17 * 13) >= (... |
logic-v2 | 研究以下逻辑语句：
A. (-13 + -2) < (3 ** 2) < (3 % 8)
B. not not (((36 % 5) <= (-8 * -1 + 2 * -6)) and ((17 - -17) <= (10 - -13)))
C. 氧气对人类生存是必需的。
哪些语句为真？在 \boxed{} 中填入所有为真的选项标识，用逗号分隔。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 87012078,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (-13 + -2) < (3 ** 2) < (3 % 8)\nB. not not (((36 % 5) <= (-8 * -1 ... |
logic-v2 | 考虑以下布尔表达式：
A. (8 * 10 + -8 * 0) >= (1 ** 3)
B. (not ((-6 * -5 * 8 * 1) < (-6 * -1 + 8 * 4))) and ((光速约为每秒30万公里。) and ((8 * -2 * 2 * 1) <= (-1 - -20) <= (-18 + 13)))
C. not (氯的化学符号是Pb。)
D. ((17 + -11) != (3 ** 2)) and ((鲸鱼是鱼类。) and ((16 * 10) <= (-13 * 8)))
E. (1 ** 1) != (5 * -7 * -5 * 8)
哪些表达式的值为 True？请在 \boxed{} 中给... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 60624339,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (8 * 10 + -8 * 0) >= (1 ** 3)\nB. (not ((-6 * -5 * 8 * 1) < (-... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (((4 + 12) < (17 % 8) < (-10 * 1 * 4 * -8)) or (西班牙位于欧洲。))
B. (((3 ** 3) <= (-10 * -6 - 5 * 4)) and ((-4 - 16) < (0 + 18))) and ((土星是距离太阳第1近的行星。) or ((-3 - -16) > (10 - 10)))
C. not not (1948年奥运会在伦敦举办。)
D. (not not ((-10 * -12) != (1 * 13))) and (((17 - -7) <= (10 - 20)) or ((5 - -6) >= (5 - 0)... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 22715846,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (((4 + 12) < (17 % 8) < (-10 * 1 * 4 * -8)) or (西班牙位... |
logic-v2 | 分析以下逻辑表达式：
A. not (((1928年奥运会在斯德哥尔摩举办。) or ((-20 - -20) >= (-4 + -7))) or (第二次世界大战结束发生在1955年。))
B. (((-16 - 16) < (-3 - -18)) or (not ((10 * -17) > (10 + 10)))) or ((18 - 7) != (6 + -6))
C. (not not ((火星是距离太阳最近的行星。) and ((32 % 6) < (-3 - -17)))) and (not ((-15 - -9) > (5 ** 3)))
D. ((9 * 17) >= (-9 * -9)) or ((5 ** 2)... | {
"game_data": {
"answer": "B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 76940381,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not (((1928年奥运会在斯德哥尔摩举办。) or ((-20 - -20) >= (-4 + -7))) or ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. A dog has 4 legs.
B. 33 is less than or equal to 66.
C. The chemical symbol for Potassium is K.
D. (A chameleon is a reptile.) or (The first moon landing occurred in 1969.)
E. not (((9 * -8 * 1 * -2) == (5 * 11)) and (387 is a perfect square.))
F. (-1 - 8) >= (9 + 11)
... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 88095419,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. A dog has 4 legs.\nB. ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (龙虾有0条腿。) or (((-13 - -4) != (5 ** 3)) or ((-4 * 4) <= (-9 + -15) <= (5 % 4))) or ((((23 % 9) < (17 + 5)) or (海王星是距离太阳第8近的行星。)) and ((1 ** 1) < (0 * 3 * 1 * -2)))
B. (not ((2 ** 1) < (1 * -8 + -10 * 1) < (17 + -12))) or ((not not ((-18 + -10) <= (11 * -13) <= (34 % 2))) and ((0 * 1 + -7 * 8) =... | {
"game_data": {
"answer": "A,B,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 41670463,
"true_count": 5
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (龙虾有0条腿。) or (((-13 - -4) != (5 ** 3)) or ((-4 ... |
logic-v2 | Given the following boolean expressions:
A. Oxygen is necessary for human survival.
B. not not (not (not (A fly is a mammal.)))
C. ((not not ((not ((11 % 2) > (-2 * 8 * 6 * -3))) or (The currency of Argentina is the Peso.))) and (not ((((-15 + -11) <= (27 % 3)) or ((37 % 3) < (-9 + 5))) or (not not ((19 % 4) > (-19 * ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 15175056,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. Oxygen is necessary for human surviv... |
logic-v2 | 下面是几个布尔表达式：
A. (not not ((十二月有31天。) or ((以色列的货币是雷亚尔。) or (金在常温下是液体。)))) or (not not (not not (not not ((18 + 11) != (8 * -8 * -10 * -6)))))
B. not (((((-5 * -2 * 6 * 1) != (-6 * -1 + -9 * -4)) and ((-11 * 9) <= (10 * 8 * 0 * 7))) and ((1952年奥运会在赫尔辛基举办。) or ((1 * -9 - 1 * 3) == (-8 * -3 - 1 * -5)))) or (((21能被8整除。) or ... | {
"game_data": {
"answer": "A,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 2007914,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (not not ((十二月有31天。) or ((以色列的货币是雷亚尔。) or (金在常温下是液体。)))) or (n... |
logic-v2 | 评估以下每个表达式：
A. (not not ((((巴西的货币是人民币。) and (1932年奥运会在东京举办。)) and ((法国位于欧洲。) and ((3 + -16) < (-3 * 0 - 3 * 4)))) and ((2080年是闰年。) and (81的平方根是6。)) and (not not (((3 * 9 * 8 * 1) != (-14 - 12)) and ((-19 + -18) > (5 ** 1)))))) or (not not ((-9 * 8 + 6 * 8) != (-3 - -8))) or ((((not (1970年是闰年。)) and (not not ((2 - -14) ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 70853130,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (not not ((((巴西的货币是人民币。) and (1932年奥运会在东京举办。)) and ((法国位于欧洲。) ... |
logic-v2 | 评估以下每个表达式：
A. not (((((-14 - -10) > (-16 - 17)) and (铅的化学符号是Sn。)) or (火星是距离太阳第4近的行星。)) or (((1907年是闰年。) or (哥伦比亚的货币是越南盾。)) or (not not ((16 + -5) != (-11 - -19)))))
B. (((-18 * 12) >= (0 + -9)) and (not (2008年奥运会在北京举办。))) or (鲸鱼是鱼类。) or ((((蜘蛛是昆虫。) and ((-2 * 19) > (5 - 18))) or (((-7 * -2) >= (7 - 11)) and ((15 - 13)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 66587741,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not (((((-14 - -10) > (-16 - 17)) and (铅的化学符号是Sn。)) or (火星是距离太阳第4近... |
logic-v2 | 给定以下布尔表达式：
A. ((((5 ** 2) == (-4 * -5 - -2 * 10)) and ((not not (法国的首都是巴黎。)) or (((1 ** 3) < (2 ** 1)) and ((-4 - -16) < (8 * -17))))) or ((木星是距离太阳第3近的行星。) and ((-1 - 1) >= (3 * -14))) or (not ((((43 % 8) <= (6 + 18)) and ((1 * -4 + -7 * -3) > (-1 * 9 + -4 * 4))) and (哥伦布到达美洲发生在1492年。)))) or (not not ((not ((4 ** 1) !... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 50992740,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. ((((5 ** 2) == (-4 * -5 - -2 * 10)) and ((not not (法国的首都是巴黎。)) o... |
logic-v2 | Review these logical expressions:
A. ((((1 * -1 * 8 * 3) == (16 - 12)) and (Oxygen is necessary for human survival.)) and (((-4 * -10 * 6 * 1) <= (2 + 13) <= (-9 * -10 + 1 * 10)) and (The chemical symbol for Gold is Au.))) or (((18 * 2) < (-16 + -2)) or ((9 * 8 - 6 * 9) <= (-13 - -13))) or ((The currency of Philippine... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 76005036,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. ((((1 * -1 * 8 * 3) == (16 - 12)) and (Ox... |
logic-v2 | 下面是几个布尔表达式：
A. ((not ((38 % 3) != (-5 * 18))) or (not not (土星是距离太阳第6近的行星。))) or ((((5 ** 3) < (7 * 0 + -6 * 6)) and (马有2条腿。)) and (not (钴的化学符号是Co。)))
B. ((1 ** 2) <= (34 % 2) <= (11 + -20)) or (((中国的首都是拉巴特。) and (金星是距离太阳第7近的行星。)) or ((海王星是距离太阳第8近的行星。) or (2078年是闰年。)))
C. (not (((8 % 4) <= (20 * 4)) and ((-5 * -3 * 1 *... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 69090679,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. ((not ((38 % 3) != (-5 * 18))) or (not not (土星是距离太阳第6近的行星。)... |
logic-v2 | Study the following logical statements:
A. ((not not ((35 % 2) == (1 - -10))) or (not (not not (not ((4 ** 1) == (25 % 5)))))) or (((There are 30 days in April.) or (not ((The currency of Czech Republic is the Koruna.) or (156 is an even number.)))) and (not (The 1960 Olympics were held in Rome.)))
B. not not (((not (... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 90794157,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. ((not not ((35 % 2) == (1 - -10))) ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (((9 * 3 + 7 * -10) <= (-7 * 10 + -6 * -9) <= (-15 - -11)) or (((-19 + 17) >= (3 * 7)) and (There are 31 days in March.)) or (((1 - 12) < (-11 + 1)) or ((The Earth revolves around the Sun.) and (The 2004 Olympics were held in Athe... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 51482902,
"true_count": 6
},
"question": "Evaluate the following boolean expressions and select the ones that are t... |
logic-v2 | 审视以下逻辑表达式：
A. ((not ((3 ** 2) >= (14 + -6))) and ((((13 * 20) >= (-8 * 11)) or (猫头鹰是鸟类。)) and ((水在常温下是气体。) and ((6 - -15) <= (-10 * -15))))) or ((人体有206块骨头。) and ((摩洛哥位于非洲。) or (墨西哥的首都是内罗毕。))) or (not not ((((8 + 2) > (3 ** 3)) and (2024年奥运会在阿姆斯特丹举办。)) or (墨西哥位于北美洲。)))
B. not not ((((企鹅能飞翔。) or (第一次世界大战结束发生在1923年。)) a... | {
"game_data": {
"answer": "A,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 82255341,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. ((not ((3 ** 2) >= (14 + -6))) and ((((13 * 20) >= (-8 * 11)... |
logic-v2 | Evaluate each expression below:
A. not not ((France is in Asia.) and (The currency of Japan is the Won.))
B. (not not ((137 is a perfect square.) or (There are 31 days in August.))) and ((not (Helium is a liquid at room temperature.)) and (((19 - 8) < (-3 * 2) < (-1 - 3)) or (The currency of Russia is the Franc.)))
C.... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 22110186,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not not ((France is in Asia.) and (The curr... |
logic-v2 | Examine these expressions:
A. not not ((6 * 5 + 2 * -7) >= (3 * -8))
B. (-2 + -10) <= (5 ** 2)
C. 84 is divisible by 9.
D. not not (not (The chemical symbol for Nitrogen is N.))
E. (50 % 10) < (16 - -8)
F. not ((15 * 16) > (-10 + -10))
Which ones are true? List the labels of all true options in \boxed{}, separated by... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 96316593,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not ((6 * 5 + 2 * -7) >= (3 * -8))\nB. (-2... |
logic-v2 | Below are several boolean expressions:
A. not not (not (((not (The chemical symbol for Nickel is Cu.)) or (not (((-19 + 15) < (19 * 15) < (6 + 15)) or (A iguana is an insect.)))) and (not not (((The Soviet Union dissolved occurred in 1991.) and (Oxygen is a liquid at room temperature.)) or (((20 - -7) > (-3 - 18)) and... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 29594592,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not not (not (((not (The chemical symb... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not (not ((not not ((2 + -20) >= (6 + 20))) or (not (Air is a gas at room temperature.))))) and (((6 % 9) <= (19 * -17)) and (((-6 * 18) > (-3 * -3 + -4 * -2)) and ((-2 - 8) == (2 ** 3)))) and (not (not ((-18 * 15) != (9 + 6))))
B. (not (((A cat has 4 legs.) and ((The... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 47335793,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not (not ((not not ((... |
logic-v2 | Review these logical expressions:
A. not not (((not not (((11 % 4) == (-17 - -5)) and ((13 + -11) >= (3 ** 2)))) and (Mercury is a solid at room temperature.)) or (((The currency of Argentina is the Krona.) or ((-7 * 6) < (-9 * 15) < (-7 - 5))) or (((3 + 16) <= (1 * -1 * -9 * -2) <= (6 * 20)) or (Gold is a gas at room... | {
"game_data": {
"answer": "A,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 15474752,
"true_count": 6
},
"question": "Review these logical expressions:\n\nA. not not (((not not (((11 % 4) == ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (not not (金星是距离太阳第2近的行星。))
B. 氧气对人类生存是必需的。
C. 第二次世界大战开始发生在1938年。
D. ((闪电不会两次击中同一个地方。) and (尼日利亚的货币是里亚尔。)) or ((水蒸气在常温下是气体。) and (韩国的首都是柏林。))
E. ((光速约为每秒30万公里。) and ((13 + -18) >= (0 + 0))) or ((人体有150块骨头。) and (钾的化学符号是K。))
F. ((8是偶数。) and ((-6 * 4 - 2 * 4) > (34 % 3))) and (not (肯尼亚的首都是内罗毕... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 50651545,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not (not not (金星是距离太阳第2近的行星。))\nB. 氧气对人类生存是必需的。\nC. 第... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not ((((not (The 2020 Olympics were held in Tokyo.)) or (The speed of light is approximately 300,000 km/s.)) or (((3 ** 2) >= (-10 + -13)) and (37 is a prime number.)) or (((38 % 2) != (-10 - -20)) and ((-18 + -17) > (17 * 17)))) and... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 56609439,
"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. ((((-9 - -3) > (-4 - -6)) or (((6 * -3 + -5 * -4) == (-1 + 10)) and (二氧化碳在常温下是气体。))) or (((8 * -2 + 3 * 1) > (2 - 3)) and (not not ((-20 + 19) > (6 * -5 - -7 * 5))))) and ((2 * -16) != (-14 * -5)) and (not ((-19 - -4) < (3 * -7 * -4 * -1)))
B. ((((2 * -15) <= (2 + -17) <= (-18 + 1)) or (((-7 - -19) != (2... | {
"game_data": {
"answer": "B,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 14502894,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((((-9 - -3) > (-4 - -6)) or (((6 * -3 + -5 * -4) == (-1 + 10)... |
logic-v2 | 审视以下逻辑表达式：
A. (((((-19 - 11) == (-5 + 19)) and (地球是距离太阳第3近的行星。)) or ((2007年是闰年。) and (76是质数。))) and ((西班牙位于欧洲。) or (not (地球是距离太阳第6近的行星。)))) or (not not (not ((3 ** 1) != (2 * -17)))) or (not not (((16 + 8) < (-6 * 4) < (9 - 8)) and ((33 % 5) != (6 * 2 * 3 * 0))))
B. (((((-1 * 3 + -8 * 10) > (2 ** 3)) or ((-1 * -10 * -... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 31467958,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (((((-19 - 11) == (-5 + 19)) and (地球是距离太阳第3近的行星。)) or ((2007年是闰年... |
logic-v2 | 分析以下逻辑表达式：
A. (((not not (not not (not not ((5 ** 3) > (-17 - -9))))) or (((1986年是闰年。) and (not not (第二次世界大战开始发生在1939年。))) and ((1960年是闰年。) and (印度位于亚洲。)) and (丹麦的货币是埃及镑。))) or (not ((((壁虎是爬行动物。) or (1924年奥运会在雅典举办。)) and (not not ((9 * 1 - -5 * -2) < (8 * 7 * -6 * -4)))) or ((-7 - -16) != (24 % 4))))) or (not not (not... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 42249220,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. (((not not (not not (not not ((5 ** 3) > (-17 - -9))))) or (... |
logic-v2 | 评估以下每个表达式：
A. ((((-10 - 13) < (-9 * 15) < (12 * 7)) and (第一部iPhone发布发生在2007年。)) or ((15 + -17) > (9 * -8 + -9 * -10))) or (((-1 * 7 * 8 * 0) >= (9 * -5)) or (马来西亚的货币是林吉特。))
B. not not ((-2 * 17) > (2 ** 2))
C. (钻石由碳元素组成。) and ((((4 ** 3) <= (0 * 15)) and (85是奇数。)) or ((银在常温下是液体。) or (地球是距离太阳第7近的行星。)))
D. (not (not not... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 49470212,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. ((((-10 - 13) < (-9 * 15) < (12 * 7)) and (第一部iPhone发布发生在2007年。)... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not not (((14 - 10) > (15 + -20)) or (36的平方根是6。))) or ((-17 + 10) > (-5 * -1))) or ((((19 - 13) == (-4 * -6)) and (((14 * 8) == (15 + 1)) and (铜在常温下是固体。))) or (((越南位于北美洲。) and ((9 - -11) <= (-6 * 5 * -2 * -2) <= (14 + -14))) and (((32 % 8) > (19 - 15)) or ((5 % 9) != (-19 + -12)))))) and ((((1 *... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 13998626,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not not (((14 - 10) > (15 + -20)) or (36的平方根是6。))) or... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not ((((牛有2条腿。) or ((0 - 0) == (-10 + 0))) or ((马有8条腿。) or ((木头在常温下是气体。) and ((18 - 13) < (10 + -5)))) or ((((6 + 19) < (5 ** 3)) and ((29能被4整除。) or ((-15 + -4) == (27 % 7)))) and ((6 - -9) > (-8 * 6 - 9 * -3)))) and (((not ((柏林墙倒塌发生在1989年。) or (太阳绕地球运转。))) and (((尼日利亚的货币是卢布。) and ((41 % 7... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 67191388,
"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 ((((牛有2条腿。) or ((0 - 0) == (-10 + 0))) or (... |
logic-v2 | Below are several boolean expressions:
A. not (not not ((A lobster has 10 legs.) and (((-1 * 19) <= (1 + -3)) and (Diamond is a liquid at room temperature.)) and (((1 - -19) <= (9 * 6 * -3 * 5)) or ((15 * -8) <= (-16 - -2) <= (-3 + -3)))))
B. (not ((not (((4 ** 1) == (-4 - 17)) or ((7 - 8) > (3 - -10)))) and ((10 * -8... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 65339263,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not (not not ((A lobster has 10 legs... |
logic-v2 | Review these logical expressions:
A. not not (((not not (((-4 * 3) != (-15 + -9)) or (The 1984 Olympics were held in Atlanta.))) or ((32 % 7) == (20 - -10))) and ((((The capital of Sweden is Amsterdam.) or (The currency of European Union is the Ruble.)) and ((The capital of Netherlands is Amsterdam.) or ((9 * -10) != ... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 59071949,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not not (((not not (((-4 * 3) != (-15 + -... |
logic-v2 | 检验这些表达式：
A. not not (((挪威的货币是比索。) and (铜的化学符号是Cu。)) and ((第二次世界大战结束发生在1945年。) and (1896年奥运会在雅典举办。)))
B. not not ((not not ((5 ** 3) > (10 - 15))) and ((4 ** 3) < (8 * 9 + -6 * -1)))
C. not (人类有三个肺。)
D. ((((-7 * -3) <= (-7 + 15)) and ((29 % 5) < (-7 - 2) < (9 - -6))) or ((伦敦大火发生在1666年。) or ((47 % 5) <= (-10 * 3 + -9 * ... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 17129823,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not not (((挪威的货币是比索。) and (铜的化学符号是Cu。)) and ((第二次世界大战结束发生在1945... |
logic-v2 | Examine these expressions:
A. (Oil is a liquid at room temperature.) and ((not (There are 30 days in October.)) or ((-12 - 9) >= (3 % 10)))
B. not (Jupiter is the 5th planet from the Sun.)
C. (((The 2020 Olympics were held in Tokyo.) and (A kangaroo has 2 legs.)) or (not ((3 ** 3) != (37 % 4)))) and (not not ((46 % 2)... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 47388480,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. (Oil is a liquid at room temperature.) and ((not (... |
logic-v2 | 审视以下逻辑表达式：
A. not (((1905年是闰年。) or (水星是距离太阳第3近的行星。)) or (((4 - -7) <= (-18 * -4)) and (汞的化学符号是Fe。)))
B. (锡的化学符号是Au。) or (not not (not ((16 * 0) > (-2 * 0))))
C. not not ((((0 * -12) == (-9 * 5 - -7 * 6)) or ((9 * -1 * -2 * 4) <= (5 ** 1))) and ((8 * 0 + -6 * 1) == (-11 - -10)))
D. not ((八月有31天。) and ((-14 - -6) < (3 *... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 58033490,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not (((1905年是闰年。) or (水星是距离太阳第3近的行星。)) or (((4 - -7) <= (-18 * -... |
logic-v2 | 给定以下布尔表达式：
A. not not (not (not (not ((not (哥伦比亚的首都是赫尔辛基。)) and (水星是距离太阳第7近的行星。)))))
B. not not (not ((((13 + -2) >= (1 ** 1)) or ((695是斐波那契数。) and (声音在真空中传播更快。)) or (not (((10 * -20) != (16 - -15)) and (印度尼西亚位于南极洲。)))) or (not ((-10 - 2) > (-9 + 17)))))
C. ((not ((not not ((印度尼西亚位于大洋洲。) or ((4 ** 1) > (16 * -20)))) o... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 15378888,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. not not (not (not (not ((not (哥伦比亚的首都是赫尔辛基。)) and (水星是距离太阳第7近的行星... |
logic-v2 | 考虑以下布尔表达式：
A. (((金星是距离太阳第2近的行星。) or (澳大利亚位于大洋洲。)) or ((金的化学符号是Ag。) and (水星是距离太阳第1近的行星。))) or (not not (六月有28天。))
B. not (印度的货币是克朗。)
C. not (not not ((蚊子是哺乳动物。) or (氧的化学符号是Pt。)))
D. not not ((14 + 15) < (3 * -10))
E. ((-7 * 18) <= (10 + 14) <= (10 * -2)) or (25能被9整除。) or (((电流比光速更快。) or (2016年奥运会在里约热内卢举办。)) or ((空气在常温下... | {
"game_data": {
"answer": "A,B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 2699037,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. (((金星是距离太阳第2近的行星。) or (澳大利亚位于大洋洲。)) or ((金的化学符号是Ag。) and (水... |
logic-v2 | 考虑以下布尔表达式：
A. ((氮的化学符号是N。) and (蝙蝠是瞎的。)) or (not ((not not (75能被5整除。)) and (((-3 * -5 + -9 * 0) > (5 ** 2)) and ((7 + -4) != (-11 - 17)))))
B. not not ((not not (第一次世界大战开始发生在1915年。)) and (not ((10 * 7 + 6 * -7) >= (-8 + -14))))
C. (not (((-6 - 13) <= (5 * 0 - -9 * 5) <= (1 * -17)) and (not not (113是完全平方数。)))) or (((((... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 5560898,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. ((氮的化学符号是N。) and (蝙蝠是瞎的。)) or (not ((not not (75能被5整除。)) and ... |
logic-v2 | 检验这些表达式：
A. (not (not not ((-8 + 18) >= (-16 * 11)))) and (((not ((-17 - -6) > (7 * 9))) or ((12 + -16) < (-12 * -15) < (-19 - -2))) or (not ((0 * 9) != (20 * -17))) or ((3 % 2) == (5 - 0))) and (((not ((-7 * -7 - 3 * 7) >= (12 - 16))) and (not not (七月有31天。)) and (委内瑞拉的首都是巴西利亚。)) or (not not (((-9 + 0) == (10 * 1 - 9 ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 44470671,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (not (not not ((-8 + 18) >= (-16 * 11)))) and (((not ((-17 - -6) > (... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((not (not not ((not not ((7 * 14) <= (9 + -3))) or ((2012年奥运会在首尔举办。) or ((0 * 5 + -5 * -10) < (15 - -15)))))) or ((not not (not not (苏联解体发生在1993年。))) or (not (韩国的货币是韩元。)) or ((4 * 2 + -9 * -8) != (19 + 9))) or (not not (((-4 - 4) < (-9 + -7)) and ((2061年是闰年。) and ((3 ** 1) < (3 + -14) < (-5 * ... | {
"game_data": {
"answer": "F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 1827144,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((not (not not ((not not ((7 * 14) <= (9 + -3))) or (... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((not (((-16 - 15) <= (-4 * 1 - 5 * -1) <= (-12 + 8)) or (((-17 + -8) > (-8 * -10 - 0 * 10)) or (加拿大的货币是加元。)))) or (not not ((马是哺乳动物。) or (新西兰的货币是比索。))) or (not not ((((-8 * -5) > (-14 + -3)) or ((0 * -13) != (5 ** 3))) or (捷克的货币是克朗。)))) and (not ((((10 + 3) <= (6 * 2 + 4 * 5) <= (-8 - -9)) an... | {
"game_data": {
"answer": "A,B,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 23304476,
"true_count": 6
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((not (((-16 - 15) <= (-4 * 1 - 5 * -1) <= (-... |
logic-v2 | Examine these expressions:
A. not not (not not ((not not (The Pacific Ocean is the largest ocean.)) and (not ((-3 - 17) == (3 * -3 - 2 * -7)))))
B. (not ((((-18 - 1) <= (4 - -6)) or ((3 % 6) == (-2 * -10 + 0 * 7))) or ((-2 * -1 + -4 * 9) < (8 * 5 + -9 * 4)))) and (The chemical symbol for Chlorine is Cl.) and (not not ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 15224935,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not (not not ((not not (The Pacific Ocean is... |
logic-v2 | 研究以下逻辑语句：
A. (((8 * -2 - -4 * 3) <= (12 - -3) <= (8 * 7 - 1 * 1)) or (法国大革命开始发生在1789年。)) and (((4 ** 2) == (-2 + 15)) and ((-9 + 14) <= (-19 - -6)))
B. not not (钻石由碳元素组成。)
C. (((-15 + 18) <= (14 * 17)) or ((-2 - -10) >= (40 % 1))) and (((5 ** 1) < (5 ** 3)) or (氖的化学符号是Ne。))
D. (4 * 6 * 8 * -9) < (16 + -20)
E. ((土星是距离太... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 78635159,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (((8 * -2 - -4 * 3) <= (12 - -3) <= (8 * 7 - 1 * 1)) or (法国大革命开... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not (1977 is a leap year.))
B. (not not (((25 % 10) <= (5 * -3) <= (1 - 17)) and ((The square root of 64 is 3.) or (The capital of Turkey is Ankara.)))) or (not not (((The square root of 81 is 9.) or (1998 is a leap year.)) or (not n... | {
"game_data": {
"answer": "B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 60339169,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Examine these expressions:
A. not (288 is a Fibonacci number.)
B. (16 + -13) >= (-5 * -6 * 0 * -7)
C. not (((-3 + 8) < (1 + -7)) and ((-7 * -4) != (31 % 2)))
D. (A day on Earth is 24 hours.) and (The Earth revolves around the Sun.)
E. ((Thailand is in South America.) or ((4 * 2 * 0 * -7) < (-17 * -7))) and (Nitrogen i... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 41200226,
"true_count": 5
},
"question": "Examine these expressions:\n\nA. not (288 is a Fibonacci number.)\nB. (16 +... |
logic-v2 | Review these logical expressions:
A. not not ((Oil is a solid at room temperature.) and (((5 ** 3) <= (-3 + 8)) and ((7 * -8) <= (23 % 9) <= (-20 - 9))))
B. ((8 * 5 * 9 * 1) > (6 - -1)) or (not ((-19 - -14) > (9 - -14))) or (The 1996 Olympics were held in Atlanta.)
C. ((not ((18 + -1) > (9 * 5 + 3 * -7))) and (((-12 *... | {
"game_data": {
"answer": "B,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 44294101,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not ((Oil is a solid at room temper... |
logic-v2 | Review these logical expressions:
A. not ((((Alcohol is a liquid at room temperature.) and (The currency of United States is the Dollar.)) and ((The currency of Hungary is the Real.) or (Alcohol is a liquid at room temperature.))) and ((Uranus is the 7th planet from the Sun.) and (The 1996 Olympics were held in Mexico... | {
"game_data": {
"answer": "A,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 6253959,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not ((((Alcohol is a liquid at room temp... |
logic-v2 | Analyze these boolean expressions:
A. not (not (95 is divisible by 5.))
B. (((-6 - -13) != (-2 + -10)) and ((11 * 7) <= (-8 * -6 * 5 * -6))) and (The capital of Belgium is Brussels.)
C. Nigeria is in South America.
D. not not (((13 * -4) != (3 * 6 * -7 * -8)) or (Mars is the 1st planet from the Sun.))
Which of these ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 66234007,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not (not (95 is divisible by 5.))\nB. ((... |
logic-v2 | Below are several boolean expressions:
A. not ((((not ((16 + 4) < (-9 - -11) < (10 + 20))) or ((2036 is a leap year.) or ((Bats are blind.) and (The capital of Thailand is New Delhi.)))) and (not (not (not not (The chemical symbol for Sulfur is S.))))) or (not not ((not (((-2 + 6) <= (0 * 5) <= (6 - -14)) or (43 is a ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 51062056,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not ((((not ((16 + 4) < (-9 - -11) <... |
logic-v2 | Below are several boolean expressions:
A. Diamonds are made of carbon.
B. not not (not (The capital of Singapore is Singapore.))
C. ((Venus is the 2nd planet from the Sun.) and (Spiders are insects.)) and (not (The capital of Portugal is Lisbon.))
Identify all expressions that are true. Answer with the option labels ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 37670815,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. Diamonds are made of carbon.\nB. not n... |
logic-v2 | 研究以下逻辑语句：
A. not not (((8 + -3) > (30 % 2)) and ((越南的货币是索尔。) or (马来西亚的货币是林吉特。)))
B. (2074年是闰年。) and (not (澳大利亚的货币是澳元。))
C. not not (((伦敦大火发生在1668年。) or (大象有4条腿。)) or (not ((9 % 8) <= (2 - -2) <= (1 * 8 + -1 * -2))))
哪些语句为真？在 \boxed{} 中填入所有为真的选项标识，用逗号分隔。 | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 1688210,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not not (((8 + -3) > (30 % 2)) and ((越南的货币是索尔。) or (马来西亚的货币是林吉特。))... |
logic-v2 | Given the following boolean expressions:
A. (not ((((5 * 14) <= (14 % 10) <= (-15 - 6)) or (Steam is a gas at room temperature.)) or ((8 % 5) >= (16 * -14)))) and (((2089 is a leap year.) or ((11 is greater than 98.) or (The capital of Ireland is Dublin.))) or (not (not not ((-11 - 12) != (5 * 15)))))
B. ((((3 + 7) < ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 87140201,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. (not ((((5 * 14) <= (14 % 10) <= (-1... |
logic-v2 | Given the following boolean expressions:
A. ((not not ((5 is less than or equal to 95.) or (The Soviet Union dissolved occurred in 1991.))) or ((-12 * 1) <= (9 + -19) <= (6 - -11))) and ((4 - 15) > (-3 * -14)) and (not not (not (Indonesia is in Asia.)))
B. (((-18 + 20) < (-4 * 9 - -10 * 3)) or (The chemical symbol for... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 98305083,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. ((not not ((5 is less than or equal ... |
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