env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 给定以下布尔表达式：
A. (汞在常温下是液体。) or ((86能被9整除。) and ((0 * -7 - -3 * 5) == (-3 - -18))) or ((1972年奥运会在慕尼黑举办。) or (五月有31天。))
B. (not not (not not (1952年奥运会在雅典举办。))) or (((5 + -2) <= (-13 + -18)) or (海王星是距离太阳第6近的行星。)) or (((地球上一天是24小时。) or (波兰的货币是兹罗提。)) or (沙特阿拉伯位于南美洲。))
C. (((天鹅是鸟类。) and (猫有10条腿。)) and (((-6 * -8 + -5 * 10) > ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 21209728,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (汞在常温下是液体。) or ((86能被9整除。) and ((0 * -7 - -3 * 5) == (-3 - -18))... |
logic-v2 | Study the following logical statements:
A. ((not ((-7 - -5) <= (14 - -1))) or (((13 + 12) == (17 + 12)) or ((1 - -17) == (-14 - 7)))) or ((((-10 - 0) >= (19 - -2)) and ((-7 * 9) == (-5 * -4))) and ((There are 31 days in August.) and (The first iPhone was released occurred in 2007.)))
B. (((New Zealand is in Asia.) and... | {
"game_data": {
"answer": "C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 58742160,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. ((not ((-7 - -5) <= (14 - -1))) o... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (((not (The capital of Japan is Tokyo.)) or (not not ((2 ** 2) < (0 + -4))) or (The capital of Venezuela is Jakarta.)) or ((19 - 3) != (39 % 8)) or ((not (((1 ** 3) > (2 + 8)) and ((17 * -15) <= (8 * -4)))) and (((The first moon landing occurred in 1969.) and ((5 *... | {
"game_data": {
"answer": "D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 34502972,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (((not (The capital of... |
logic-v2 | Given the following boolean expressions:
A. not ((((Diamonds are made of carbon.) and (Jupiter is the 5th planet from the Sun.)) or ((A spider has 8 legs.) or (Diamonds are made of carbon.))) and (not not (not (Saturn is the 3rd planet from the Sun.))))
B. not not ((not not ((39 % 8) <= (-3 * 1))) and ((((5 + 8) < (13... | {
"game_data": {
"answer": "E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 94970917,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. not ((((Diamonds are made of c... |
logic-v2 | 分析以下逻辑表达式：
A. (not not ((not (((袋鼠有8条腿。) and (97大于70。)) or (not ((3 ** 3) <= (-17 + -16))))) or (not ((((39 % 10) > (-12 * 10)) or ((2 ** 3) < (-14 * 16) < (12 % 2))) or (not (沙特阿拉伯的货币是谢克尔。)))))) and (((not not (波兰的货币是越南盾。)) and ((金星是距离太阳第2近的行星。) or ((金星是距离太阳第2近的行星。) and ((-9 * -9 - -9 * -8) < (17 - -16) < (15 - -17))... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 43743519,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (not not ((not (((袋鼠有8条腿。) and (97大于70。)) or (not ((3 ** 3) <= (-1... |
logic-v2 | 研究以下逻辑语句：
A. not not ((not not (((16 - -1) <= (10 * -5 * -5 * 7)) or ((not not ((20 - -14) <= (34 % 8) <= (20 % 1))) and (not ((-9 * -2 - 3 * -4) > (3 ** 3)))))) and ((((not not ((-14 - 7) < (14 * -11) < (2 ** 1))) or (((-15 - -10) >= (-5 - -16)) or (102是完全平方数。))) or (水在常温下是液体。)) or ((酒精在常温下是气体。) and ((8 + 2) <= (5 **... | {
"game_data": {
"answer": "A,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 88234792,
"true_count": 6
},
"question": "研究以下逻辑语句：\n\nA. not not ((not not (((16 - -1) <= (10 * -5 * -5 * 7)) or (... |
logic-v2 | 考虑以下布尔表达式：
A. (not ((not not (氦气在常温下是气体。)) or (((2086年是闰年。) or ((匈牙利的货币是里亚尔。) or ((-5 - -6) != (10 * -18)))) and ((((10 - -12) <= (4 + 19)) and (印度尼西亚位于亚洲。)) or (((-6 + -10) <= (-5 * 9 - 8 * -4)) or (蛇是爬行动物。)))))) or (not (((not not (84能被3整除。)) and (((-18 * 17) > (42 % 7)) and (汞的化学符号是Hg。))) and ((48 % 8) <= (-11 + -1... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 59463121,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. (not ((not not (氦气在常温下是气体。)) or (((2086年是闰年。) or ((匈牙利的货币是... |
logic-v2 | Below are several boolean expressions:
A. not (not not (A ant has 6 legs.))
B. (not ((A whale is a bird.) or (The chemical symbol for Nickel is Ni.))) and ((3 * 3 + -9 * 0) == (-13 - -12))
C. (((Water boils at 100 degrees Celsius at sea level.) and ((-3 * -4 * 2 * -6) < (21 % 8))) or ((There are 31 days in October.) o... | {
"game_data": {
"answer": "C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 96040351,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not (not not (A ant has 6 legs.))\... |
logic-v2 | 检验这些表达式：
A. ((not (not not (氮气在常温下是液体。))) or (((-18 + -20) < (-18 - -14)) or (锰的化学符号是Mn。))) and ((((44 % 10) == (-9 * -4 - -9 * -10)) and (人体有206块骨头。)) and (((-19 + 10) < (5 % 8)) or (伦敦大火发生在1676年。))) and (not (委内瑞拉的首都是布拉格。))
B. (not not (((天王星是距离太阳第7近的行星。) and (225的平方根是15。)) or (((-3 * 18) > (13 * -17)) and (木头在常温下是固... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 35659808,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. ((not (not not (氮气在常温下是液体。))) or (((-18 + -20) < (-18 - -14)) or (... |
logic-v2 | Review these logical expressions:
A. not not ((((((3 - -2) >= (5 ** 2)) or (not (The currency of Turkey is the Forint.))) or ((42 % 2) > (-12 - 14))) or (not (not (((6 + -8) != (-6 * 16)) or ((-2 * -11) < (-5 - -2) < (-14 + -14)))))) and (not ((not not ((1 * 1 + -9 * -1) <= (-14 - 6))) or (not ((-10 + 8) < (-6 - 14)))... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 52018745,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not not ((((((3 - -2) >= (5 ** 2)) or (no... |
logic-v2 | 下面是几个布尔表达式：
A. 硫的化学符号是S。
B. not not ((法国的首都是巴黎。) or (1964年奥运会在东京举办。))
C. (15 - -9) != (6 * -1)
D. not ((木头在常温下是固体。) or (水在常温下是液体。))
E. (not (20能被3整除。)) and ((-6 * -5) <= (3 - -16))
F. not (((5 ** 2) != (10 - 16)) and (鸭子有2条腿。))
G. 青蛙有4条腿。
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选项标识。 | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 63171759,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. 硫的化学符号是S。\nB. not not ((法国的首都是巴黎。) or (1964年奥运会在东京举办。))\nC.... |
logic-v2 | Study the following logical statements:
A. (not ((1 + 14) <= (-12 + -5))) or ((not ((-7 + 6) == (-17 - 13))) or (The 1960 Olympics were held in Antwerp.)) or (not ((not (A frog has 6 legs.)) and (not (Alcohol is a solid at room temperature.))))
B. (((2 ** 3) == (-11 * -8)) and (Steam is a gas at room temperature.)) or... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 97790456,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (not ((1 + 14) <= (-12 + -5))) or (... |
logic-v2 | Study the following logical statements:
A. not (The 1948 Olympics were held in London.)
B. ((-11 * 11) <= (6 * -6 - -8 * 5)) and ((((27 % 1) > (-19 * 17)) and ((-3 * 4 - 4 * 5) <= (1 * -17))) or (((13 % 7) > (-6 + 3)) and ((3 - -3) <= (2 - 1))))
C. not not (not not (Iron is a gas at room temperature.))
D. not not ((((... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 73879188,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. not (The 1948 Olympics were held in L... |
logic-v2 | 审视以下逻辑表达式：
A. ((not not ((not (1984年是闰年。)) or (not not ((1 ** 1) <= (7 - 7) <= (-15 + 6))))) and ((not not (not not (六月有30天。))) and ((氧气在常温下是气体。) and (鳄鱼是鸟类。)) and (((罗马尼亚的首都是布加勒斯特。) and (1956年奥运会在阿姆斯特丹举办。)) or (not (尼日利亚的货币是奈拉。))))) or ((not ((((8 * 14) < (-2 - 10)) or (中国位于南极洲。)) or ((蝙蝠是瞎的。) or (泰国的货币是泰铢。)))) or ((... | {
"game_data": {
"answer": "B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 46847432,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((not not ((not (1984年是闰年。)) or (not not ((1 ** 1) <= (7 - 7) ... |
logic-v2 | Examine these expressions:
A. not (((((The chemical symbol for Sodium is Si.) and (The 1956 Olympics were held in Stockholm.)) and ((The chemical symbol for Copper is Cu.) or ((1 * 5 * -1 * 3) <= (-10 * 9) <= (38 % 9)))) and ((16 + -5) != (-13 + -4))) or (not (not (Silver is a solid at room temperature.))))
B. (not ((... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 84694485,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not (((((The chemical symbol for Sodium is Si.) an... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (Oxygen is a solid at room temperature.)) or ((12 * -8) != (-7 + -3))
B. ((not not ((35 % 6) < (-20 + -19))) and ((-2 * -7 + 8 * -8) == (9 * 5 - 7 * 2))) or ((Saturn is the 6th planet from the Sun.) or ((0 + 3) >= (18 - 6))) or (A ch... | {
"game_data": {
"answer": "A,B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 78621432,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | Review these logical expressions:
A. ((not (not not (The 1928 Olympics were held in Amsterdam.))) or (((0 * -19) < (-1 * -8 + 0 * -1)) or (A horse has 10 legs.)) or (not not ((The capital of Singapore is Tokyo.) or (A turtle is a reptile.)))) and ((((-14 * -10) < (5 ** 1) < (-4 * -19)) or ((-2 - -17) < (-8 + 6) < (12 ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 65453308,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. ((not (not not (The 1928 Olympics were ... |
logic-v2 | 下面是几个布尔表达式：
A. (not (not not (2008年奥运会在伦敦举办。))) or ((83大于16。) and (not (鲨鱼是哺乳动物。)))
B. ((not not (1924年奥运会在巴塞罗那举办。)) or (第一部iPhone发布发生在2007年。)) or (光速约为每秒30万公里。) or ((((硫的化学符号是K。) or (地球是距离太阳第5近的行星。)) and ((第一次世界大战结束发生在1923年。) or (鸭子有2条腿。))) and ((4 ** 2) <= (14 * -5)))
C. (((((3 ** 2) <= (20 + 6)) and ((-7 + 15) < (-... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 81167334,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (not (not not (2008年奥运会在伦敦举办。))) or ((83大于16。) and (not (鲨鱼是哺... |
logic-v2 | Given the following boolean expressions:
A. ((((12 * 3) <= (-4 * 3 + 2 * -6)) and (((-6 * 0 + 8 * 1) < (-12 - -14) < (3 * -8 * -9 * 5)) and (42 is greater than 18.))) or (((The speed of light is approximately 300,000 km/s.) and (The capital of Mexico is Mexico City.)) or (((15 * -16) <= (-3 + -7) <= (-7 * -6 - 1 * 10)... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 74509835,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. ((((12 * 3) <= (-4 * 3 + 2 * -6)... |
logic-v2 | Below are several boolean expressions:
A. (not not (not ((-10 + 9) > (-8 - -7)))) or ((-1 * -9 - 3 * 0) > (4 ** 1)) or (not (Sharks are mammals.))
B. ((((9 * 2 + -2 * -2) == (-19 * 12)) and (not not ((19 - 18) > (12 % 8)))) or (not (((3 * 5 + 1 * -5) > (5 ** 2)) or ((5 + -7) < (20 % 4))))) or (((Water boils at 100 deg... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 78012073,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (not not (not ((-10 + 9) > (-8 - -... |
logic-v2 | 分析以下逻辑表达式：
A. ((((-6 * 10) >= (7 * -3 - 5 * 6)) or (韩国位于南美洲。) or (not (伦敦大火发生在1665年。))) or ((not not (((10 % 7) < (0 - 9)) or (法国的首都是惠灵顿。))) or (((1917年是闰年。) and (地球是距离太阳第4近的行星。)) and ((18 * -8) < (-4 * 0 - -5 * -7))))) and ((not not (鲨鱼是鸟类。)) or (((5 - -2) != (14 - -3)) and ((1932年奥运会在洛杉矶举办。) and (1961年是闰年。))) or (((... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 12506504,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. ((((-6 * 10) >= (7 * -3 - 5 * 6)) or (韩国位于南美洲。) or (not (伦敦大火发生在... |
logic-v2 | Consider the following logical expressions:
A. ((not (not ((South Korea is in Asia.) or ((18 - -6) < (46 % 5) < (49 % 4))))) or ((The capital of Philippines is Canberra.) and (not (((2 + -20) <= (18 + 8) <= (-1 * -9 + 0 * -1)) and ((-1 - -14) < (10 * -9 - -7 * -5) < (-8 * 10 * 7 * 5)))))) or ((not not (Bats are blind.... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 3462630,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. ((not (not ((South Korea is in... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((not not (((15 + -18) > (8 * 20)) and (not ((-7 - -16) >= (9 * -10 + 9 * -2))))) or (not not ((((-4 + 3) >= (-8 * 5 + -5 * 2)) and ((11 * 19) > (6 * 2 + -8 * -7))) or (((-16 - 10) > (-11 + -7)) or ((19 % 8) < (6 * 2 - 1 * -10)))))) or (not not (((1 + -3) > (-8 + 3)) o... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 32393175,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((not not (((15 + -18) > (8 * ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not (not not (not (印度的货币是卢比。)))) and (((((-9 * 10 + -5 * 5) < (14 + 15) < (-13 * -4)) or ((冰的密度比液态水小。) and (镍的化学符号是Ni。)) or (海王星是距离太阳第7近的行星。)) and (not ((18 + -3) >= (-7 * -5 * 3 * -9)))) and (((((34 % 6) <= (11 + -17)) and (油在常温下是液体。)) and (not not ((47 % 2) <= (9 * 19) <= (6 * -4 * 10 * 4)))) or... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 7526388,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not (not not (not (印度的货币是卢比。)))) and (((((-9 * 10 + -5 * 5) ... |
logic-v2 | Consider the following logical expressions:
A. (not not (((5 * -5 + 3 * -1) <= (-17 * 0) <= (-3 - -16)) and ((15 * 10) >= (1 ** 3)))) and (not ((((A chicken has 2 legs.) or ((-5 * 1 * 7 * -5) < (-18 - -17))) or ((1 ** 1) <= (5 ** 3) <= (47 % 8))) or ((not (The capital of Egypt is Buenos Aires.)) and ((7 + -16) != (-9 ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 75265497,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. (not not (((5 * -5 + 3 * -1) <= (... |
logic-v2 | Examine these expressions:
A. (not not ((275 is a perfect square.) and (not ((3 ** 1) != (21 % 10))) and (not not (((8 + -14) <= (4 % 2) <= (22 % 1)) or (The capital of Poland is Brasilia.))))) or (not ((((-6 * -2 + -8 * 10) >= (-15 + 2)) or (Sound travels faster in a vacuum.)) and (The currency of Poland is the Zloty... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 40261165,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (not not ((275 is a perfect square.) and (not ... |
logic-v2 | Given the following boolean expressions:
A. ((not (The capital of Norway is Rome.)) and ((not not ((Helium is a gas at room temperature.) and ((5 ** 1) != (2 ** 1)))) and ((5 ** 1) >= (-2 + 9)))) and (((-20 * -6) < (3 ** 3)) and ((15 - 20) <= (19 - -19) <= (34 % 4))) and ((not not ((not not (The first airplane flight ... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 13755335,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. ((not (The capital of Norway is Ro... |
logic-v2 | 分析以下逻辑表达式：
A. ((-14 - 6) != (1 - -10)) or (not (not not ((-5 * -3 + 3 * 5) > (-17 + 15))))
B. (镍的化学符号是Cr。) and ((泰坦尼克号沉没发生在1912年。) and (((4 ** 3) <= (2 - 8) <= (8 - 13)) and ((20 + -3) >= (18 - -2))))
C. ((not ((4 + 6) <= (-10 * 4 - 4 * -3) <= (44 % 9))) or ((4 ** 2) == (-1 * -7 + 0 * -6))) and (法国大革命开始发生在1799年。)
判断哪... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 62786229,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. ((-14 - 6) != (1 - -10)) or (not (not not ((-5 * -3 + 3 * 5) > (-1... |
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 (((蚊子是昆虫。) and (孔雀是鸟类。)) and ((氖的化学符号是Ca。) or ((23 % 4) == (-16 + -18))) and (not (十月有31天。))))
B. not (((((南非位于非洲。) or ((11 - 16) < (9 - -10))) or (((2 * 9 * 5 * 1) > (14 % 3)) or ((-1 * -2 * -2 * -1) > (16 - 1)))) or (((-14 + -2) <= (3 + -19) <= (5 ** 2)) or (2100年是闰年。)) or (电流比光... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 74123706,
"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 (not not (((蚊子是昆虫。) and (孔雀是鸟类。)) and ((氖的化学符号是Ca。)... |
logic-v2 | 分析以下逻辑表达式：
A. (硫的化学符号是S。) and (摩洛哥位于非洲。)
B. 1932年奥运会在洛杉矶举办。
C. not not ((沙特阿拉伯的货币是里亚尔。) or (水在常温下是气体。))
D. not (铜在常温下是气体。)
E. ((13 + 17) != (-19 + 10)) or ((1912年是闰年。) or ((35 % 3) > (-19 - -7)))
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,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 90135330,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. (硫的化学符号是S。) and (摩洛哥位于非洲。)\nB. 1932年奥运会在洛杉矶举办。\nC. not not... |
logic-v2 | Given the following boolean expressions:
A. not not (541 is a Fibonacci number.)
B. not ((Uranus is the 4th planet from the Sun.) or ((Ice is less dense than liquid water.) and (The capital of Canada is Ottawa.)))
C. not not (not not ((-9 - -2) < (3 % 4)))
Select all that evaluate to True. Put your answer in \boxed{}... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 32639954,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not not (541 is a Fibonacci number.)... |
logic-v2 | Below are several boolean expressions:
A. (not not (not not ((not not (((6 + -14) == (-9 + 6)) or (The capital of Norway is Oslo.))) or (The chemical symbol for Iron is Fe.)))) and (not (not not (not not (((1969 is a leap year.) and ((2 % 1) > (20 * 16))) or (((5 ** 3) < (-8 * -10 + 3 * -2)) and ((13 - 7) != (1 ** 1))... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 12802728,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (not not (not not ((not not (((6 +... |
logic-v2 | 分析以下逻辑表达式：
A. not ((not ((not not (((-5 * -4) > (-9 - 11)) or (越南的首都是马德里。))) or (not not ((6 * 7) > (44 % 4))) or ((6 * 7 + -1 * 10) != (1 ** 1)))) or ((not (not (瑞士的货币是瑞士法郎。))) or ((((-7 * -9) <= (-5 * 3 + -4 * -2) <= (-2 * 6 + 9 * 2)) and ((-7 * -1 + 3 * -6) >= (-9 * -9 - 9 * -1))) and ((2020年奥运会在罗马举办。) or ((-3 * 2 ... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 63751573,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not ((not ((not not (((-5 * -4) > (-9 - 11)) or (越南的首都是马德里。))) o... |
logic-v2 | Examine these expressions:
A. (World War II ended occurred in 1945.) and ((not ((1 * 5 + -4 * 3) >= (7 * 8 + 6 * -6))) and (71 is greater than 96.))
B. (((8 + -6) < (3 ** 2)) or ((0 * 6 * 5 * 0) == (14 - 3))) or (not (The Berlin Wall fell occurred in 1989.)) or (Mercury is the 1st planet from the Sun.)
C. (((-5 * 0 - ... | {
"game_data": {
"answer": "B,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 59602489,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. (World War II ended occurred in 1945.) and (... |
logic-v2 | Consider the following logical expressions:
A. ((not ((12 % 10) > (20 % 9))) and (((The Moon produces its own light.) or (not (Venus is the 2nd planet from the Sun.))) and ((not (Air is a liquid at room temperature.)) or (The capital of Cuba is Canberra.)))) or ((((-8 - -12) <= (8 * 3 * -1 * 3)) and (Jupiter is the 5t... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 68252711,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. ((not ((12 % 10) > (20 % 9))) a... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((5 * 19) >= (15 * -16)) and (印度位于非洲。)
B. not not (((-18 * -1) > (0 - -16)) and (古巴的首都是布加勒斯特。))
C. (not ((-20 + 2) <= (-14 + 17))) or (蝙蝠是瞎的。)
D. (((2 ** 1) < (-2 * -2 - 0 * -3)) and ((0 * 5 - 5 * 9) <= (8 + -8) <= (20 + -2))) and (((-4 * 2 * 4 * 8) != (-6 * 0 * -10 * 2)) or (汞在常温下是液体。))
E. ((... | {
"game_data": {
"answer": "D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 83007347,
"true_count": 4
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((5 * 19) >= (15 * -16)) and (印度位于非洲。)\nB. not no... |
logic-v2 | 分析以下逻辑表达式：
A. (((((1 ** 3) < (15 - -6)) or ((9 * -10 - -1 * -4) < (9 % 10) < (1 ** 3))) and ((9 - -2) <= (-3 * 14))) and (铜在常温下是气体。)) and (((((7 - -8) <= (-4 * 10 + -5 * 10)) or ((11 % 2) <= (-9 * 2 * -5 * -7))) or ((3 - 17) < (-19 - 3) < (-17 - -8))) or (((8 * -15) < (-13 - -3)) or (309是完全平方数。)) or (((127是完全平方数。) and... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 76294464,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (((((1 ** 3) < (15 - -6)) or ((9 * -10 - -1 * -4) < (9 % 10) < (1 ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((-3 + -14) != (6 * -4 - 1 * -2)) or (((Gold is a liquid at room temperature.) or ((5 ** 2) == (1 - 2))) or (not not ((-2 * 7 + 10 * 0) > (5 ** 2))))
B. not ((0 - -17) != (19 + 15))
C. not not (not ((The 1932 Olympics were held in Los Angeles.) or (Electricity flows fa... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 23950336,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((-3 + -14) != (6 * -4 - 1 * -... |
logic-v2 | Below are several boolean expressions:
A. not (not not (not not (100 is divisible by 3.)))
B. (((5 * 2 - 10 * 1) <= (-13 - 18)) and (Saturn is the 6th planet from the Sun.)) or ((not not (Mercury is the 1st planet from the Sun.)) or ((0 * -19) >= (2 * -10)))
C. (((6 + 0) < (-1 * 2 + 2 * -5)) and ((1931 is a leap year.... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 43541801,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not (not not (not not (100 is divi... |
logic-v2 | 下面是几个布尔表达式：
A. not ((墨西哥位于南极洲。) and (苏联解体发生在1991年。) and ((((3 ** 3) >= (19 * -2)) and (17是偶数。)) or ((-8 * -2 * 10 * -10) > (-3 + -15))))
B. ((not (((2 ** 1) <= (1 ** 2)) or ((36 % 2) <= (-6 - -20)))) and (((-13 - 19) <= (12 - 18) <= (-11 + 13)) and ((2 ** 1) <= (1 ** 3))) and (1992年奥运会在巴塞罗那举办。)) and (((2 ** 1) > (9 * ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 32579531,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. not ((墨西哥位于南极洲。) and (苏联解体发生在1991年。) and ((((3 ** 3) >= (19 * -2)... |
logic-v2 | Consider the following logical expressions:
A. (not ((((United States is in North America.) and (Saturn is the 6th planet from the Sun.)) and ((1 * -18) > (19 + -3))) or (The 2012 Olympics were held in London.))) or ((not (not not ((The chemical symbol for Uranium is U.) or (The capital of Japan is Stockholm.)))) or (... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 88085570,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (not ((((United States is in ... |
logic-v2 | 分析以下逻辑表达式：
A. ((银在常温下是固体。) and (鬣蜥是爬行动物。)) or (not not (((3 ** 3) >= (-19 - 6)) or (1968年奥运会在墨西哥城举办。)))
B. ((not not ((6 * -10 * 8 * -7) > (12 - -13))) or ((9 * 3 * -5 * -2) <= (4 - 16))) and ((太阳绕地球运转。) and ((2 * -5 * 5 * -9) != (20 - 15)))
C. ((-14 + -8) < (19 + 13)) and (not ((金星是距离太阳第2近的行星。) and ((1 * -6) < (-11 +... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 79823637,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. ((银在常温下是固体。) and (鬣蜥是爬行动物。)) or (not not (((3 ** 3) >= (-19 - 6)... |
logic-v2 | Below are several boolean expressions:
A. (There are 30 days in August.) or ((-2 * -7 + 10 * -10) <= (10 * -2 - 5 * -5) <= (15 + 11))
B. ((not not (The chemical symbol for Zinc is Ti.)) or (((2 * 5 * -5 * -6) == (-8 * 1)) and (The capital of Canada is Cairo.))) and (not ((0 + 14) == (-4 - -11))) and (((3 * 7 - 1 * 2) ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 63947232,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (There are 30 days in August.) or ... |
logic-v2 | 下面是几个布尔表达式：
A. not not ((8 * 2) < (-9 * 4 * -2 * -9) < (-3 - 19))
B. ((not (1932年奥运会在罗马举办。)) or (((10 * 10 + -6 * 2) == (-2 * -6 * 7 * -4)) or ((-15 * 3) < (1 * 4 + -6 * 4)))) and ((not ((6 * -5) != (2 ** 2))) or ((水在海平面上的沸点是100摄氏度。) or (铜的化学符号是Co。)))
C. ((20 * -14) < (3 ** 1) < (-3 * -7 - 5 * 0)) or (((水蒸气在常温下是气体。) o... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 91038346,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not not ((8 * 2) < (-9 * 4 * -2 * -9) < (-3 - 19))\nB. ((not (1... |
logic-v2 | Consider the following logical expressions:
A. (((((Saturn is the 6th planet from the Sun.) or ((-6 + -10) <= (19 + -16))) and ((10 - -16) <= (8 * -2 * 0 * -2) <= (3 ** 2))) or ((Nigeria is in South America.) or ((-6 - 12) < (1 ** 1) < (-6 - -14)))) or ((not (A fly is a fish.)) or ((5 * -3) < (-20 + -14)))) and ((not ... | {
"game_data": {
"answer": "B,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 96253187,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. (((((Saturn is the 6th pl... |
logic-v2 | Examine these expressions:
A. (9 * 7 - 7 * -1) == (-5 * -8 * 3 * -2)
B. Saturn is the 6th planet from the Sun.
C. (not ((14 * -17) < (14 + 9))) and (not ((18 % 7) < (6 * -17)))
D. (not not ((-18 * -10) != (4 * 2 - -10 * -2))) and (not (The chemical symbol for Silver is Ag.))
E. 78 is a prime number.
F. The currency of... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 93005081,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (9 * 7 - 7 * -1) == (-5 * -8 * 3 * -2)\nB. Satur... |
logic-v2 | 考虑以下布尔表达式：
A. ((not (氧气在常温下是固体。)) and (((4 ** 3) != (-3 - -16)) and ((not not (六月有30天。)) or (not (猪有10条腿。))))) and (not not (not not (339是斐波那契数。)))
B. (not not ((((韩国的首都是墨西哥城。) and (1999年是闰年。)) and (((-13 * 11) <= (-14 + -1) <= (36 % 7)) or (56能被11整除。))) or ((1 + 3) <= (10 * 9 - 8 * 7)))) and (((((-4 * -7 - -3 * 7) !=... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 78324616,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. ((not (氧气在常温下是固体。)) and (((4 ** 3) != (-3 - -16)) and ((not not (六... |
logic-v2 | 审视以下逻辑表达式：
A. (((((-17 + -3) >= (1 * 8 + -1 * -9)) or ((火星是距离太阳第4近的行星。) and (碳的化学符号是Mg。))) and ((59是完全平方数。) and ((-7 * 4) < (-1 - -16)))) or ((not (not ((-19 + 15) >= (-6 + 20)))) or ((-8 + 20) <= (-19 * -4)))) and ((not not ((not not (加拿大位于北美洲。)) or (not not (91是质数。)))) and ((not not (鱼有0条腿。)) or ((((3 * 5) > (9 - -1... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 34868045,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (((((-17 + -3) >= (1 * 8 + -1 * -9)) or ((火星是距离太阳第4近的行星。) and (碳... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((磷的化学符号是O。) or (((45 % 4) < (17 - -3)) and (一月有28天。))) and (83是质数。)) and (((((-7 * 8 * -10 * -5) <= (2 - -4) <= (7 * -2 - -6 * -1)) or (海王星是距离太阳第2近的行星。)) and ((63能被5整除。) and (古巴的首都是哈瓦那。))) or ((((-8 * -9) <= (18 * 18)) or (希腊的首都是雅典。)) and (第一次世界大战开始发生在1914年。)))
B. not not ((not not ((瑞典的首都是斯... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 23993642,
"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. (((磷的化学符号是O。) or (((45 % 4) < (17 - -3)) and (一月有28天。))... |
logic-v2 | 分析以下逻辑表达式：
A. ((((-9 * 18) <= (-5 * 0 - -3 * -5) <= (13 % 8)) or (not not (狗有0条腿。))) or ((not not (秘鲁的货币是瑞士法郎。)) and (((-10 * 12) < (9 * 2 - 5 * 0)) and (1924年奥运会在雅典举办。))) or (not not (((1904年奥运会在圣路易斯举办。) or (钴的化学符号是Mn。)) and (铬的化学符号是Cr。)))) and (not (钴的化学符号是He。)) and ((not not (not not ((太阳绕地球运转。) or ((2 + 15) > (-19... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 22670588,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((((-9 * 18) <= (-5 * 0 - -3 * -5) <= (13 % 8)) or (not not ... |
logic-v2 | 下面是几个布尔表达式：
A. (((((-5 * 5) <= (8 - 13) <= (3 * -10 - 7 * -8)) and (蚂蚁有6条腿。)) and (not ((-5 * 8 * -10 * -5) <= (9 * 8 * 9 * -5)))) or (not not ((2 * 1 + 8 * 10) == (-15 - -12))) or (not not ((4 + -14) != (0 * -9 * -1 * -7)))) and ((16 - 4) > (-5 * -2 - -5 * -8)) and (((1956年奥运会在悉尼举办。) and ((鸡有2条腿。) or (65是斐波那契数。))) or... | {
"game_data": {
"answer": "A,B,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 50491159,
"true_count": 6
},
"question": "下面是几个布尔表达式：\n\nA. (((((-5 * 5) <= (8 - 13) <= (3 * -10 - 7 * -8)) and (蚂蚁... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (1 % 6) >= (39 % 3)
B. (not not ((-5 + -8) != (8 * -1))) or (The 1964 Olympics were held in London.)
C. The currency of South Korea is the Krona.
D. not (((-1 * -4) <= (-2 * 19)) or (Nigeria is in Oceania.))
Find all expressions that are True. Answer in \boxed{} with ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 44699729,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (1 % 6) >= (39 % 3)\nB. (n... |
logic-v2 | 审视以下逻辑表达式：
A. ((德国的首都是阿姆斯特丹。) or ((14 + 12) < (2 ** 1) < (-16 + -8))) and ((3 ** 2) <= (-4 * -7 - 1 * -4) <= (5 + 4))
B. 水蒸气在常温下是液体。
C. 月球自己发光。
D. (((4 * -6 * -4 * 7) < (-13 + -12) < (1 ** 3)) or ((11 % 10) <= (3 * 13) <= (8 + 11))) and (not (阿根廷的货币是比索。))
E. ((0 * -10 - -9 * -6) < (1 * 0 + 1 * 0)) and ((-18 + 1) <= (5... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 18454336,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. ((德国的首都是阿姆斯特丹。) or ((14 + 12) < (2 ** 1) < (-16 + -8))) and ((3 **... |
logic-v2 | Review these logical expressions:
A. not not (not ((not not (not not (Saudi Arabia is in Asia.))) or ((36 is greater than 25.) or (Light travels faster than sound.)) or ((((The currency of Turkey is the Yuan.) and ((-18 - 14) != (-10 * 9 - -10 * -4))) or (((-6 + -13) == (-8 - -20)) and (2019 is a leap year.))) or (The... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 50614101,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not not (not ((not not (not not (Saudi Arab... |
logic-v2 | Review these logical expressions:
A. not (not (not not (not not (not not (not not (The Sun revolves around the Earth.))))))
B. not not (not (not not ((A spider has 0 legs.) or ((-10 * -3 + -2 * 5) != (4 + 20)) or ((12 - 9) <= (5 - -16) <= (-10 * 11)))))
C. not (not (not not (not not (Alcohol is a gas at room temperatu... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 88133590,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not (not (not not (not not (not not (not no... |
logic-v2 | Below are several boolean expressions:
A. not not (not not (((Antarctica is the coldest continent.) and ((((21 % 10) <= (8 - 7) <= (4 * -1)) and ((10 * 5 + -5 * 4) >= (-4 - -15))) or (not not (53 is an odd number.)))) and (not ((A dragonfly is a reptile.) and ((Humans only use 10% of their brain.) and (The 1964 Olympi... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 17207055,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not not (not not (((Antarctica is th... |
logic-v2 | Given the following boolean expressions:
A. (5 ** 1) > (0 * -1 - -3 * -6)
B. (not (Lightning never strikes the same place twice.)) and (((15 - 17) < (7 - -20)) or (The chemical symbol for Phosphorus is P.))
C. (The capital of Philippines is Manila.) or ((The 1984 Olympics were held in Los Angeles.) and (Sound travels ... | {
"game_data": {
"answer": "A,B,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 692529,
"true_count": 6
},
"question": "Given the following boolean expressions:\n\nA. (5 ** 1) > (0 * -1 - -3 * -6... |
logic-v2 | Analyze these boolean expressions:
A. ((-7 + -8) == (-2 - 0)) or ((((4 % 4) < (2 ** 2)) and ((4 ** 1) <= (8 - -19))) and ((-1 + 7) > (-5 - 14)))
B. (((-5 * 9 + -1 * -10) < (6 * -3) < (-6 + -11)) or (There are 28 days in November.)) and (((The 1900 Olympics were held in Paris.) or ((8 * -6 - -4 * 10) > (-6 - 7))) or ((... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 94136014,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((-7 + -8) == (-2 - 0)) or ((((4 % 4) ... |
logic-v2 | Evaluate each expression below:
A. (not (not (((((-5 * 4 - -4 * -5) != (-10 * -1 * 6 * 10)) and (The capital of Hungary is Lima.)) and (not not (Venus is the 5th planet from the Sun.))) or (not (not not ((5 % 7) <= (9 - 5))))))) or (not (not (((-6 * -6 - -10 * 1) < (-7 * 3 * 0 * 10)) and ((Nitrogen is a gas at room te... | {
"game_data": {
"answer": "A,C,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 6156101,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. (not (not (((((-5 * 4 - -4 * -5) != (-10... |
logic-v2 | Given the following boolean expressions:
A. not not (not not (not not ((not not (((8 * 0) > (18 * 0)) and ((30 % 6) != (5 ** 2)))) or ((not not (Thailand is in Asia.)) or (not (69 is divisible by 9.))))))
B. not not (((not not (((-15 * 4) != (-1 + -1)) and (The Sun revolves around the Earth.))) or (((-4 - 1) <= (16 - ... | {
"game_data": {
"answer": "A,B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 23315822,
"true_count": 7
},
"question": "Given the following boolean expressions:\n\nA. not not (not not (not no... |
logic-v2 | 检验这些表达式：
A. not not ((not (((((1 ** 3) < (-9 + 6)) or ((4 - -17) >= (-12 * -4))) and ((地球上一天是24小时。) and ((3 ** 1) < (-10 * 6 + -4 * -9)))) and (((-11 + -13) <= (-20 * -14) <= (9 * -14)) or ((2 ** 1) < (5 ** 2))) and (墨西哥的货币是比索。))) and ((摩洛哥位于北美洲。) and (((-8 - -15) > (-2 - -6)) or (氧气在常温下是液体。))) and (((第一次世界大战结束发生在1918... | {
"game_data": {
"answer": "D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 71878573,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not not ((not (((((1 ** 3) < (-9 + 6)) or ((4 - -17) >= (-12 *... |
logic-v2 | 评估以下每个表达式：
A. (((六月有30天。) or (水在常温下是气体。)) and (not not (((42 % 8) < (-10 + -10)) or ((31 % 4) <= (9 * -5 + -3 * 9))))) and (not (((11 * 19) != (7 * 8 + 6 * 8)) and ((墨西哥位于南美洲。) and (泰国位于亚洲。))))
B. (((((智利位于亚洲。) and (蚂蚁有0条腿。)) or ((捷克的首都是布拉格。) and (鱼有0条腿。))) and ((-17 * -15) < (18 * -2))) and (1980年奥运会在伦敦举办。) and (not ... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 89246612,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (((六月有30天。) or (水在常温下是气体。)) and (not not (((42 % 8) < (-10 + -... |
logic-v2 | 给定以下布尔表达式：
A. not not (not ((((17 * 20) == (-20 + -19)) and (((7 + 6) <= (-13 + -19)) or (1926年是闰年。)) and (银的化学符号是Ag。)) and ((((7 + 12) < (8 + 12)) or ((铜的化学符号是Ag。) and (埃及的首都是开罗。))) or (1952年奥运会在赫尔辛基举办。))))
B. not not ((not not ((not (((27 % 8) <= (12 % 8) <= (19 + -13)) or (钴的化学符号是Co。))) and (((十一月有31天。) and (智利位于非洲... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 50470885,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. not not (not ((((17 * 20) == (-20 + -19)) and (((7 + 6) <= (-13 ... |
logic-v2 | 评估以下每个表达式：
A. (167是偶数。) or (((-1 + -19) != (36 % 8)) and (月球绕地球运转。))
B. (((-7 * 1 - 2 * -1) >= (10 * -1)) or ((23 % 3) != (5 - 11))) or ((十月有29天。) and (氧的化学符号是O。))
C. (3 + 2) <= (-16 - 19)
D. not not ((1 ** 2) < (1 * -17))
E. ((太阳绕地球运转。) or (荷兰的首都是阿姆斯特丹。)) or ((八月有28天。) and ((-16 * -4) < (4 * 5 - 5 * -2)))
F. ((4 ** 2... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 42546167,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (167是偶数。) or (((-1 + -19) != (36 % 8)) and (月球绕地球运转。))\nB. (... |
logic-v2 | 评估以下每个表达式：
A. not ((一月有31天。) or ((13 - -15) < (0 * 0 * 10 * -9)))
B. (3 ** 2) < (2 - -11)
C. (16 + -13) > (4 ** 3)
D. not not ((伦敦大火发生在1665年。) or ((14 + 2) < (5 + 14)))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 46314853,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not ((一月有31天。) or ((13 - -15) < (0 * 0 * 10 * -9)))\nB. (3 ** 2)... |
logic-v2 | 检验这些表达式：
A. not not ((not ((俄罗斯位于欧洲。) and ((南非的货币是谢克尔。) and ((-5 - -12) > (18 * -7))))) and (铂的化学符号是Co。) and (not ((人类只使用了大脑的10%。) and (((-18 + -14) != (-16 - -3)) and (美国的货币是韩元。)))))
B. ((((((5 + -17) == (14 * 9)) or (65是质数。)) and (((1 ** 1) < (20 % 7) < (7 * -14)) and (95小于等于92。))) or ((not not (酒精在常温下是固体。)) or (((1... | {
"game_data": {
"answer": "B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 48065239,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not not ((not ((俄罗斯位于欧洲。) and ((南非的货币是谢克尔。) and ((-5 - -12) > (1... |
logic-v2 | Below are several boolean expressions:
A. (not not (Uranus is the 5th planet from the Sun.)) and ((Diamonds are made of carbon.) or (((Canada is in Asia.) and (A cow has 4 legs.)) or ((-3 * -9 - 2 * 10) < (7 + 17))))
B. ((((The capital of Ireland is Dublin.) and ((-11 + 11) <= (7 + -15) <= (0 * -4 * 4 * 8))) and ((15 ... | {
"game_data": {
"answer": "D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 82609220,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. (not not (Uranus is the 5th planet f... |
logic-v2 | Below are several boolean expressions:
A. ((not ((Bats are blind.) or (The chemical symbol for Oxygen is O.))) and (not (Vietnam is in Antarctica.))) or (((20 * 1) <= (-7 + -10)) and (not not (((20 * -8) != (36 % 2)) or (The 1948 Olympics were held in London.))))
B. not (((The 1952 Olympics were held in Munich.) or ((... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 64344240,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. ((not ((Bats are blind.) or (The c... |
logic-v2 | Review these logical expressions:
A. not not ((-15 + 8) != (-17 + -13))
B. not (not not (((16 + 14) > (-5 * -6)) and (The currency of Malaysia is the Ringgit.)))
C. (The capital of Portugal is Havana.) or (not not (not (The capital of Japan is Bucharest.)))
D. (((The currency of Brazil is the Krona.) and ((3 ** 3) > (... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 74271388,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. not not ((-15 + 8) != (-17 + -13))\nB... |
logic-v2 | Analyze these boolean expressions:
A. (not ((not ((1936 is a leap year.) and ((-2 + -14) > (18 - 20)))) or ((not (The 1924 Olympics were held in Paris.)) and (2086 is a leap year.)))) and ((not (((The capital of Egypt is Cairo.) or ((-2 - 12) >= (17 * 14))) and (((9 * -8 + 9 * 8) == (-5 * -4 * 10 * 6)) and (20 is divi... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 96787544,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (not ((not ((1936 is a leap year.) and... |
logic-v2 | 分析以下逻辑表达式：
A. (3 - -14) == (-10 + 2)
B. (4 ** 2) >= (20 - -3)
C. 南极洲是最冷的大陆。
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 66336854,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (3 - -14) == (-10 + 2)\nB. (4 ** 2) >= (20 - -3)\nC. 南极洲是最冷的大陆。\n\... |
logic-v2 | Evaluate each expression below:
A. (((Steam is a gas at room temperature.) and ((The square root of 64 is 13.) and (Diamond is a liquid at room temperature.))) and (Nigeria is in Africa.)) and ((39 % 2) != (-9 * -5 + -1 * -1)) and (((((3 ** 2) >= (-9 * -3 * -2 * 3)) or (Whales are fish.)) or (Humans have five fingers ... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 99613536,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (((Steam is a gas at room temperature.) and... |
logic-v2 | 评估以下每个表达式：
A. not ((土星是距离太阳第6近的行星。) and (not ((10 - -8) <= (17 + -18) <= (5 * 4 - 7 * -4))))
B. not (((第二次世界大战开始发生在1939年。) or ((12 % 1) == (-17 + -9))) and (not not (350是斐波那契数。)))
C. (((6 * 10 + 5 * 6) == (6 + -19)) and (1956年奥运会在蒙特利尔举办。)) or (((-12 + -6) != (-1 * -6 * -7 * 9)) and (1948年奥运会在伦敦举办。)) or ((7 * 9 + 6 * -... | {
"game_data": {
"answer": "B,C,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 20916487,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. not ((土星是距离太阳第6近的行星。) and (not ((10 - -8) <= (17 + -18) <= (... |
logic-v2 | Given the following boolean expressions:
A. ((Nitrogen is a solid at room temperature.) or (2029 is a leap year.)) and ((-3 + 8) >= (4 + 20)) and ((Chile is in North America.) or (The currency of Saudi Arabia is the Rupiah.))
B. (((not (The chemical symbol for Hydrogen is Cu.)) and ((1948 is a leap year.) or (The curr... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 91971403,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. ((Nitrogen is a solid at room temper... |
logic-v2 | 研究以下逻辑语句：
A. 银在常温下是液体。
B. ((0 * -10 - -3 * -10) != (17 * 8)) and ((天王星是距离太阳第7近的行星。) or (银的化学符号是Ag。))
C. (not not (秘鲁位于南极洲。)) or ((意大利位于非洲。) or ((-16 - 1) <= (-12 + 1)))
D. not not ((木星是距离太阳第5近的行星。) or (1932年奥运会在洛杉矶举办。))
E. not (not not ((-19 * 7) != (-13 * -12)))
F. ((3 * 1 * -8 * -10) < (12 + 5) < (11 - 15)) and (((-... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 46137179,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. 银在常温下是液体。\nB. ((0 * -10 - -3 * -10) != (17 * 8)) and ((天王星是距离太阳... |
logic-v2 | 下面是几个布尔表达式：
A. (not (((水在常温下是液体。) and (第一次世界大战结束发生在1918年。)) and (not (not (not ((-7 * 10 * -3 * -5) <= (4 - 1))))))) and (not (not ((((光速比声速快。) or ((-5 * -4) != (10 - -8))) or ((土星是距离太阳第6近的行星。) or (六月有31天。))) or (((捷克的货币是韩元。) and (1900年奥运会在东京举办。)) or (((-1 * -1) > (4 ** 2)) or (闪电不会两次击中同一个地方。))))))
B. not not ((not no... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 46749378,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. (not (((水在常温下是液体。) and (第一次世界大战结束发生在1918年。)) and (not (not ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (((-9 * -10 - 10 * 4) < (8 * 8 - 10 * 6) < (4 ** 2)) and (882 is a Fibonacci number.) and (not not (not not ((10 + 5) == (2 + 9))))) or (not ((-11 + 14) < (5 * 0 * 4 * 2))) or ((The capital of Italy is Rome.) or ((((1 + -8) >= (1 * 3 - 0 ... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 7964292,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\... |
logic-v2 | 分析以下逻辑表达式：
A. 智利的首都是堪培拉。
B. 青蛙有0条腿。
C. ((氖的化学符号是O。) and ((-20 - -9) != (6 * -6 * 1 * 0))) and (第二次世界大战开始发生在1944年。)
D. not not ((二氧化碳在常温下是气体。) or (银在常温下是固体。))
E. (莱特兄弟首次飞行发生在1901年。) and ((泰国位于欧洲。) or ((5 ** 2) <= (-3 - 16)))
F. ((海王星是距离太阳第8近的行星。) and (狗有4条腿。)) or ((-5 + -10) <= (4 ** 1))
G. ((钙的化学符号是Ca。) or ((32 % 5) !... | {
"game_data": {
"answer": "D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 51297388,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. 智利的首都是堪培拉。\nB. 青蛙有0条腿。\nC. ((氖的化学符号是O。) and ((-20 - -9) != (6 ... |
logic-v2 | 检验这些表达式：
A. not (((((9 + -10) > (0 * -18)) and ((6 * 7 + -2 * -10) <= (1 ** 2) <= (33 % 2))) or (((-5 * -6 - 2 * -8) >= (8 + -13)) and (十月有30天。))) or (not (((4 * 4 * 1 * -8) > (1 * -10 - -6 * -5)) or ((-7 * 7 * -7 * 8) > (-17 - 1)))))
B. not ((南非的货币是兰特。) and (not ((鱼有0条腿。) and ((10 + 14) < (16 * 2)))))
C. (((((-12 + -... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 32342673,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not (((((9 + -10) > (0 * -18)) and ((6 * 7 + -2 * -10) <= (1 *... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 银在常温下是固体。
B. ((8 * 10 - -1 * -5) != (0 - -13)) and ((火星是距离太阳第3近的行星。) or ((20 + 2) <= (-7 - -10) <= (16 + -11)))
C. not not (((-10 * 17) <= (-4 * 5 + -3 * 3)) and ((4 * -8 + -10 * 5) == (2 ** 1)))
D. (not ((16 + -13) < (-16 * 2))) or ((-18 + 15) == (2 % 2))
E. (10 * -9 * -9 * -5) <= (20 + -12)
F. ((... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 63490907,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 银在常温下是固体。\nB. ((8 * 10 - -1 * -5) != (0 - -13)) and ((... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not ((19 * -7) >= (10 + -6))) or (not (俄罗斯位于欧洲。))
B. not not (not ((汞在常温下是气体。) and ((1 ** 2) == (11 - -6))))
C. ((5 ** 1) > (20 - 5)) or ((-1 * -5) < (10 % 10))
D. ((((16 - -16) == (18 + -6)) or (钴的化学符号是Co。)) or ((磷的化学符号是Cl。) or ((19 + -14) != (1 * 10 - 8 * 1)))) and (土星是距离太阳第6近的行星。)
E. not (... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 24567741,
"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 ((19 * -7) >= (10 + -6))) or (not (俄罗斯位于欧洲。))\... |
logic-v2 | Consider the following logical expressions:
A. (10 - 16) < (5 ** 3)
B. not not (not (76 is a prime number.))
C. (87 is a prime number.) and (The currency of Nigeria is the Shekel.)
D. The 1996 Olympics were held in Tokyo.
E. not not (The 1924 Olympics were held in Paris.)
F. not ((The currency of Peru is the Sol.) and... | {
"game_data": {
"answer": "A,B,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 5490284,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. (10 - 16) < (5 ** 3)\nB. not... |
logic-v2 | 评估以下每个表达式：
A. (((以色列的货币是日元。) or (((3 ** 2) <= (17 * -19) <= (-6 + 14)) and ((2 ** 2) >= (0 + -13)))) and ((氧气在常温下是气体。) or (猫是鸟类。) or ((木星是距离太阳第5近的行星。) or (not ((-2 + 16) >= (11 % 8)))))) and ((((16 + 10) < (-10 + 16)) or (1900年奥运会在伦敦举办。)) and (((阿根廷位于南美洲。) or (苍蝇是昆虫。)) and ((180是奇数。) and (1968年奥运会在洛杉矶举办。)))) and (not ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 94399851,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (((以色列的货币是日元。) or (((3 ** 2) <= (17 * -19) <= (-6 + 14)) and ((2 *... |
logic-v2 | 给定以下布尔表达式：
A. not not (钾的化学符号是Ne。)
B. (not not ((氧的化学符号是Ca。) or ((11 - 16) == (12 + 0)))) or (印度位于亚洲。)
C. (((英国位于欧洲。) and (氮气在常温下是气体。)) and ((8是质数。) and (氧气对人类生存是必需的。))) or (not ((挪威的货币是克朗。) or (摩洛哥的首都是伯尔尼。)))
选出所有值为 True 的选项。在 \boxed{} 中以逗号分隔的形式给出答案。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 51210412,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not not (钾的化学符号是Ne。)\nB. (not not ((氧的化学符号是Ca。) or ((11 - 16) == (... |
logic-v2 | 考虑以下布尔表达式：
A. not (not not (not not (挪威的首都是加拉加斯。)))
B. not not ((14 * -3) >= (4 ** 1))
C. (埃及位于南极洲。) and ((not (2000年奥运会在柏林举办。)) and ((二月有28天。) or ((3 ** 2) >= (-14 + -19))))
D. (((第一次世界大战开始发生在1915年。) or (银的化学符号是Ag。)) or ((新西兰位于南极洲。) and ((-4 * 0 + 10 * -3) > (-5 * 2 - 5 * 10)))) and (((5 * -7 + -1 * -8) == (20 % 10))... | {
"game_data": {
"answer": "A,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 16567995,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. not (not not (not not (挪威的首都是加拉加斯。)))\nB. not not ((14 * -3)... |
logic-v2 | Consider the following logical expressions:
A. ((15 - 17) > (11 + 8)) or ((not ((3 * 0 - 8 * -2) <= (1 + -10))) and (not not ((4 - 9) != (0 - 19))))
B. not not ((13 % 7) == (7 * 5 + 2 * -4))
C. (((A chameleon is a reptile.) and (Helium is a liquid at room temperature.)) or (The chemical symbol for Oxygen is O.)) and (... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 30388376,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. ((15 - 17) > (11 + 8)) or ((not... |
logic-v2 | 考虑以下布尔表达式：
A. (not not ((not not ((7 * -6 - -7 * -10) < (1 - 15) < (7 * 7 + -8 * 0))) or (乌克兰的首都是布拉格。))) and (not not (not (((1 * -3 + -5 * 7) < (14 % 1) < (0 * 5 + -1 * 3)) or (((45 % 6) > (-14 - 18)) and (冰在常温下是液体。)))))
B. ((((((-20 - 8) >= (19 - 6)) or (秘鲁的首都是安卡拉。)) or (((3 ** 3) <= (-2 * 8 - -4 * -8)) and ((-12 - ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 63749801,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. (not not ((not not ((7 * -6 - -7 * -10) < (1 - 15) < (7 * 7 + -8... |
logic-v2 | 给定以下布尔表达式：
A. ((((五月有28天。) and (not not ((5 * 15) < (6 * -5 + 6 * 2) < (6 * -10 * -5 * -6)))) or ((((15 + 8) >= (-13 - 4)) or (日本的货币是日元。)) and (not not (俄罗斯位于欧洲。)))) and ((not (铁的化学符号是U。)) or ((空气在常温下是固体。) or (not not ((6 * 18) > (-10 * -6 - -9 * 2)))))) and ((not not (not not ((氦气在常温下是气体。) or (金的化学符号是Si。)))) or ((((爱... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 51950829,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((((五月有28天。) and (not not ((5 * 15) < (6 * -5 + 6 * 2) < (6 * ... |
logic-v2 | Below are several boolean expressions:
A. not ((not not ((((-19 - 14) <= (29 % 9)) and (((2 ** 1) >= (9 - -19)) or ((20 + -15) >= (10 * 3)))) or ((-4 * 0 + -2 * 4) != (4 ** 1)) or (1917 is a leap year.))) and ((not not (Chile is in South America.)) or ((Ice is a liquid at room temperature.) and (not ((17 + -20) < (7 *... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 17748956,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not ((not not ((((-19 - 14) <= (29 % 9... |
logic-v2 | 评估以下每个表达式：
A. (((-11 + -8) <= (-11 + -3) <= (16 - 6)) and ((1 - 4) > (6 * 4 - 2 * 1))) or (((((4 - -18) <= (10 - -15) <= (8 * -2)) and ((6 % 3) < (-5 + -17) < (-13 + 3))) or (not (木星是距离太阳第5近的行星。))) or ((not not (鬣蜥是鱼类。)) and (((20 + 8) != (-8 - 1)) and (秘鲁位于亚洲。))))
B. (((((-2 + 9) == (2 ** 2)) and ((-4 - 2) <= (9 * 6)... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 86140213,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (((-11 + -8) <= (-11 + -3) <= (16 - 6)) and ((1 - 4) > (6 * 4 ... |
logic-v2 | 评估以下每个表达式：
A. (not (((((-15 - -4) >= (-5 * 19)) or ((882是斐波那契数。) and (氮的化学符号是Mg。))) and ((蛇有0条腿。) and (2008年奥运会在安特卫普举办。))) and ((not not (木星是距离太阳第3近的行星。)) and (((0 + 6) >= (-8 * 8)) or (三月有31天。)) and ((12 * -2) >= (-2 * -7 + 6 * 1))))) and (not (not (not not (十一月有30天。))))
B. not not (not not (not not (not ((-4 - -16) ... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 72222782,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (not (((((-15 - -4) >= (-5 * 19)) or ((882是斐波那契数。) and (氮的化学... |
logic-v2 | 检验这些表达式：
A. ((((5 ** 3) == (14 % 8)) and (印度尼西亚的货币是越南盾。)) and (((-11 + -19) <= (2 * -7 * -7 * -9)) or (人类首次登月发生在1979年。))) or (not (not (2012年奥运会在洛杉矶举办。)))
B. (十月有28天。) or (((-7 * -5 * -2 * 0) < (-5 * -9 * -8 * 7)) and ((-6 - -19) == (-13 + -10))) or (((巴西位于欧洲。) and ((-10 - 15) < (28 % 8))) and (not ((3 * -3 - 4 * 6) <... | {
"game_data": {
"answer": "C,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 68433670,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. ((((5 ** 3) == (14 % 8)) and (印度尼西亚的货币是越南盾。)) and (((-11 + -... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((-7 * 7 - 9 * -8) <= (-10 - 13)) or (碳的化学符号是He。)) and ((巴西位于南美洲。) and ((-13 + -2) != (2 * 6 * 8 * 2)))
B. ((碳的化学符号是C。) or ((2 - 11) >= (-17 + 9))) and (((-4 * -2) >= (-11 - -16)) or ((-1 + -7) >= (-20 - -2)))
C. (((5 * 10 * 8 * -3) >= (7 * -8 - -3 * -10)) and (氯的化学符号是P。)) or ((5 * 2 * -6 * -... | {
"game_data": {
"answer": "B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 76303309,
"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. (((-7 * 7 - 9 * -8) <= (-10 - 13)) or (碳的化学符号是He。))... |
logic-v2 | 给定以下布尔表达式：
A. not not ((not not (鲨鱼是鱼类。)) and (印度尼西亚的首都是雅加达。) and (not not (((-10 * -1 * -2 * 1) > (37 % 3)) and ((-6 + 3) != (20 * 18)))))
B. not not (not ((36的平方根是9。) and ((芬兰的首都是赫尔辛基。) and ((2 ** 3) >= (9 * -4 - 2 * 7)))))
C. not not (not not (((7 * -3 - 10 * -1) != (4 ** 2)) and (火星是距离太阳第4近的行星。)))
D. not (((鲨鱼是哺乳动... | {
"game_data": {
"answer": "B,C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 24844288,
"true_count": 6
},
"question": "给定以下布尔表达式：\n\nA. not not ((not not (鲨鱼是鱼类。)) and (印度尼西亚的首都是雅加达。) and (not... |
logic-v2 | 考虑以下布尔表达式：
A. ((-11 + -20) > (7 * 20)) or (((8 * -1 * 8 * 8) >= (8 * -9 * 1 * -1)) and ((-9 * -2 * 2 * -8) >= (-18 * 15)))
B. not not ((意大利位于欧洲。) or (第一次世界大战开始发生在1914年。))
C. 秘鲁的货币是瑞士法郎。
D. 316是完全平方数。
E. not not (not (牛有100条腿。))
F. ((挪威的货币是克朗。) or (氖的化学符号是Ne。)) or ((印度的首都是阿布贾。) and ((18 - 1) <= (45 % 7)))
哪些表达式的值为 Tru... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 50017707,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((-11 + -20) > (7 * 20)) or (((8 * -1 * 8 * 8) >= (8 * -9 * 1 ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (((((not (The currency of South Korea is the Dollar.)) and (not (Oil is a gas at room temperature.))) or (Diamonds are made of carbon.)) or ((not not ((11 * 13) != (15 * 16))) or (((Water is a liquid at room temperature.) and ((-4 * -... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 41606631,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Analyze these boolean expressions:
A. not not (not (not not (((((3 % 8) != (13 - -3)) and ((47 % 2) != (3 + 19))) or ((Sound travels faster in a vacuum.) or ((18 - 19) < (-6 * -18)))) and (((5 ** 1) < (6 * 9)) or (Sound travels faster in a vacuum.)) and (((15 * 12) >= (-14 - 4)) or ((-13 - -11) > (3 + 16))))))
B. not ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 34009443,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not not (not (not not (((((3 % 8) != (13 -... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((not not (not ((20 * 4) > (0 * -7 - 2 * 1)))) or ((not not ((((-17 + 16) < (13 * -20) < (-13 * -4)) and (柏林墙倒塌发生在1989年。)) and (((-4 * 2 + 9 * 7) != (13 % 1)) or (德国的首都是柏林。)))) or (((巴西的首都是巴西利亚。) or ((14 + -2) < (-10 * 16))) and ((泰国的货币是泰铢。) and (十月有31天。)) and ((((-7 - 1) == (15 + 13)) or ((-20... | {
"game_data": {
"answer": "C,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 77898325,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((not not (not ((20 * 4) > (0 * -7 - 2 * 1)))) or ... |
logic-v2 | 给定以下布尔表达式：
A. ((38 % 5) < (1 + -12)) or (2016年奥运会在斯德哥尔摩举办。) or (((尼日利亚的货币是奈拉。) or ((-10 * 2 + -6 * 7) < (-7 * -2 + -10 * -1))) or (水蒸气在常温下是气体。))
B. ((196的平方根是4。) or (((27 % 3) <= (-5 * -7 * 2 * -7) <= (15 % 6)) and (罗马尼亚的首都是基辅。))) and (((18 + -7) > (11 - -14)) or ((-6 * 8 * 8 * -6) >= (2 * 0 * 5 * -2))) and ((摩洛哥的首都是华... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 42926679,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. ((38 % 5) < (1 + -12)) or (2016年奥运会在斯德哥尔摩举办。) or (((尼日利亚的货币是奈拉。)... |
logic-v2 | Review these logical expressions:
A. (United States is in Asia.) or (not not (Copper is a solid at room temperature.)) or (((-6 * 9 * -4 * 9) > (-19 + -9)) or (not ((-2 * -5 * 8 * -7) > (4 ** 3))))
B. (The chemical symbol for Tin is Co.) and ((World War I ended occurred in 1918.) and ((12 + 14) < (1 * 4 + 7 * 5) < (-7... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 41300734,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. (United States is in Asia.) or (not not... |
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