env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 审视以下逻辑表达式：
A. ((not ((not not (龙虾有10条腿。)) or ((莱特兄弟首次飞行发生在1898年。) and (第一部iPhone发布发生在2007年。)))) and (((-6 * 8 * -3 * 10) >= (12 * -5)) or (not not (伦敦大火发生在1666年。)))) and ((not (not not (三月有31天。))) and ((-18 - -3) < (-9 * 4 - -9 * -1) < (20 * 19)) and (((-3 + -8) < (-9 * -7 * -9 * -6)) and ((硫的化学符号是C。) or (1952年是闰年。)) ... | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 44510074,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((not ((not not (龙虾有10条腿。)) or ((莱特兄弟首次飞行发生在1898年。) and (第一部iPho... |
logic-v2 | 下面是几个布尔表达式：
A. ((((((49 % 5) >= (9 - 17)) and (肯尼亚位于大洋洲。)) or (((1 * -9) != (-16 * 0)) or ((-20 + 9) != (-6 * 12)))) or ((35 % 4) < (-2 * -1 - 0 * -3))) and (not not (((瑞士的货币是瑞士法郎。) or (1975年是闰年。)) and (((3 ** 3) > (-3 * 1 - 2 * 7)) and (氮气在常温下是气体。))))) and (((((-2 * -2) != (-3 - -12)) or (not ((6 * -5 * -4 * -2) >= (... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 87425413,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. ((((((49 % 5) >= (9 - 17)) and (肯尼亚位于大洋洲。)) or (((1 * -9) != (-16... |
logic-v2 | 审视以下逻辑表达式：
A. not (not not (((牛有8条腿。) or (2004年是闰年。)) or ((-15 * 12) <= (-4 * 2 * 0 * -8))))
B. (not not (天王星是距离太阳第8近的行星。)) or ((氧的化学符号是Fe。) and ((-20 - 0) <= (9 % 4))) or ((((2016年奥运会在里约热内卢举办。) or (1956年奥运会在墨尔本举办。)) and ((空气在常温下是气体。) and ((5 - -11) != (-10 * 5 * -8 * 4)))) or (not not ((70是质数。) or (58大于33。))))
C. (((... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 89397935,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not (not not (((牛有8条腿。) or (2004年是闰年。)) or ((-15 * 12) <= (-4 * 2 ... |
logic-v2 | 研究以下逻辑语句：
A. (not (not not (not (铜的化学符号是Cu。)))) and ((((3 * 2 - 5 * 8) <= (1 + -5)) or (((欧盟的货币是人民币。) or ((4 ** 2) != (-19 + 2))) or (月球绕地球运转。))) or ((238是完全平方数。) and ((冰在常温下是固体。) and (法国的首都是巴黎。)) and ((-5 + 18) == (6 * 3 - 1 * 7))))
B. not not (((((1的平方根是15。) and (179是奇数。)) or ((银在常温下是固体。) or (铜在常温下是气体。))) and (((南非位... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 55795499,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (not (not not (not (铜的化学符号是Cu。)))) and ((((3 * 2 - 5 * 8) <= (1... |
logic-v2 | Examine these expressions:
A. ((((-20 - 14) < (-9 * 2 - -10 * -6) < (-3 * -11)) and ((14 * 8) < (1 ** 2))) or (not (1962 is a leap year.))) and ((((4 * 3 * -2 * -8) != (-1 * -14)) and ((11 + 18) == (4 ** 2))) or (((-3 * -2 + -3 * -7) <= (0 * -1 * 0 * -2)) and (A peacock is a bird.)))
B. not not (not not (((-18 * 5) < ... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 13820306,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. ((((-20 - 14) < (-9 * 2 - -10 * -6) < (-3 * -1... |
logic-v2 | 检验这些表达式：
A. (((13 + 9) >= (6 + 3)) and ((16 * -11) == (2 ** 2))) and (((-10 + -10) == (41 % 7)) or ((4 + 4) <= (-20 * 7)))
B. ((海王星是距离太阳第7近的行星。) or (人类首次登月发生在1969年。)) and (((-6 - 5) != (2 % 6)) or (乌龟是爬行动物。))
C. (秘鲁位于大洋洲。) or ((-2 + 0) > (3 * 5 * -3 * -6))
D. not not (((3 ** 2) > (24 % 2)) or ((6 * 5 * 6 * 7) < (-16 -... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 33203922,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (((13 + 9) >= (6 + 3)) and ((16 * -11) == (2 ** 2))) and (((-10 ... |
logic-v2 | Below are several boolean expressions:
A. ((There are 30 days in June.) or ((Mercury is the 2nd planet from the Sun.) and ((1 * -8) != (9 * -8 * -4 * -6))) or (((-8 - 5) > (8 * -15)) or ((The 1980 Olympics were held in Moscow.) or (There are 30 days in April.)))) and ((-19 * -11) != (15 - 18)) and (not not ((-19 - -6)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 20827921,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. ((There are 30 days in June.) or ((Mer... |
logic-v2 | Given the following boolean expressions:
A. (not (((not ((18 % 4) != (-19 + -14))) or ((The capital of Greece is Jakarta.) and ((1 ** 3) == (18 - -1)))) and ((The currency of Norway is the Rupiah.) and ((-11 * 5) == (-18 - 3))) and ((not ((-17 - -9) >= (-7 * 0 + 8 * 4))) or (not (A bear is a bird.))))) and (not not (n... | {
"game_data": {
"answer": "A,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 16394410,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. (not (((not ((18 % 4) != (-1... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((0 + -2) <= (-18 - 15))
B. (The capital of Nigeria is Abuja.) or (1982 is a leap year.) or ((The capital of Kenya is Abuja.) and ((A duck has 100 legs.) and (The chemical symbol for Gold is Au.)))
C. ((Sharks are mammals.) and ((... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 30470687,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. Electricity flows faster than light.
B. ((1952 is a leap year.) or (There are 29 days in April.)) and (not ((4 * 0 * 3 * 8) <= (2 ** 1) <= (9 % 6)))
C. (not (Jupiter is the 5th planet from the Sun.)) or (The human body has 150 bones.)
D. ... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 79756062,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Given the following boolean expressions:
A. ((23 is greater than 69.) or (1906 is a leap year.)) and ((((5 ** 1) <= (-9 + -3) <= (-4 * 16)) and (A cow has 4 legs.)) or (((The chemical symbol for Lead is Pb.) and (Jupiter is the 3rd planet from the Sun.)) or (((-2 - -20) <= (6 * 3 * -3 * 1) <= (8 * -2 + 4 * 1)) or (Wor... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 89422356,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. ((23 is greater than 69.) or (1906... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not not ((5 * -9 + 7 * 0) >= (3 ** 1)))
B. not (not not (not not ((17 + -8) <= (-4 - -8) <= (-4 * 13))))
C. not not (not ((10 * 18) == (6 * -3 - -9 * -3)))
D. not not ((Saturn is the 6th planet from the Sun.) or (((13 + -9) != (-13 * 16)) or ((Mercury is the 1st p... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 37297739,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not not ((5 * -9 ... |
logic-v2 | Analyze these boolean expressions:
A. (not not ((-13 + -7) != (9 * 15))) and (((9 + 4) < (50 % 7)) and (((19 + 16) <= (-14 + -12)) and (United States is in North America.)) and ((-5 * 6 - -2 * 5) <= (-8 * -3 - 10 * -8)))
B. not not (((not ((8 + 14) <= (14 - -15))) and (((0 * 4 * -3 * 10) > (-6 + 15)) and (2003 is a le... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 58225883,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (not not ((-13 + -7) != (9 * 15))) and (((... |
logic-v2 | 给定以下布尔表达式：
A. 1972年奥运会在伦敦举办。
B. (沙特阿拉伯位于南美洲。) and ((越南位于亚洲。) and ((-18 + -19) == (3 * 0 - 8 * -1)))
C. not not ((加拿大的货币是欧元。) or (地球绕太阳运转。))
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": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 62134045,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. 1972年奥运会在伦敦举办。\nB. (沙特阿拉伯位于南美洲。) and ((越南位于亚洲。) and ((-18 + -19) =... |
logic-v2 | 审视以下逻辑表达式：
A. (((1950年是闰年。) and (62是质数。)) and (not not (印度的首都是阿布贾。))) or ((1912年奥运会在雅典举办。) or ((3 + -15) < (-6 - 18) < (-9 * -1))) or ((not not ((2 * -7) == (20 - -8))) and ((4 + 8) <= (3 - -17)))
B. not (((20 - -4) < (30 % 2) < (2 * -5 * -6 * 4)) and (人类只使用了大脑的10%。))
C. (not ((37 % 7) <= (7 - -17) <= (1 ** 2))) and (... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 81267839,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (((1950年是闰年。) and (62是质数。)) and (not not (印度的首都是阿布贾。))) or ((1... |
logic-v2 | 审视以下逻辑表达式：
A. (5 ** 1) > (5 - 0)
B. 泰坦尼克号沉没发生在1912年。
C. (((5 * 5 * -4 * -10) != (9 - 17)) or (钠的化学符号是Na。)) or ((尼日利亚位于非洲。) or ((-3 * -1 * 4 * -2) <= (9 * 2) <= (-6 * -3 * -8 * -2)))
D. (42 % 5) <= (19 + -17)
E. (not not (泰坦尼克号沉没发生在1912年。)) and (((-17 * 6) >= (14 - -17)) or ((-12 * -12) >= (13 - -9)))
F. (not not (摩洛哥位... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 7171198,
"true_count": 5
},
"question": "审视以下逻辑表达式：\n\nA. (5 ** 1) > (5 - 0)\nB. 泰坦尼克号沉没发生在1912年。\nC. (((5 * 5 * -4 *... |
logic-v2 | 分析以下逻辑表达式：
A. (-17 + 9) < (8 - 14)
B. not not ((17 - -17) != (-12 * -12))
C. (4 ** 3) > (15 + 18)
D. not not (not not (柏林墙倒塌发生在1991年。))
E. not (印度尼西亚位于欧洲。)
F. (not not (海王星是距离太阳第3近的行星。)) and ((木星是距离太阳第5近的行星。) and (沙特阿拉伯的首都是都柏林。))
G. (((-11 - 3) <= (5 ** 3)) and (水星是距离太阳第5近的行星。)) or (not ((2 ** 2) <= (-20 - 0) <= (-4 -... | {
"game_data": {
"answer": "A,B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 57171079,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. (-17 + 9) < (8 - 14)\nB. not not ((17 - -17) != (-12 * -12... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not ((19 * -7) != (16 - 3))) or ((6 + 7) == (-6 * -1 + -3 * 7))
B. not not ((The speed of light is approximately 300,000 km/s.) and (The capital of Austria is Hanoi.))
C. (A lobster has 10 legs.) and ((Colombia is in Africa.) and ((-9 * 6 + 9 * 1) < (7 % 9)))
D. (not ... | {
"game_data": {
"answer": "E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 91904397,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not ((19 * -7) != (16 - 3))... |
logic-v2 | Consider the following logical expressions:
A. ((A eagle is a bird.) and (((-7 - 18) == (4 + -4)) and ((-6 * -8 + 2 * 9) > (8 - 1))) and ((62 is an even number.) or ((-17 - 13) != (18 + 16)))) and (((17 * -5) < (-19 + 13)) and (not not (The 1980 Olympics were held in Moscow.)) and ((not (The chemical symbol for Hydrog... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 80060567,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. ((A eagle is a bird.) and (((-7... |
logic-v2 | 检验这些表达式：
A. not not (((天王星是距离太阳第7近的行星。) and ((7 * 8) <= (-15 * 3) <= (2 + 16))) and (not ((-1 + -1) == (-19 * 9))))
B. (not not ((磷的化学符号是P。) or (大象有4条腿。))) or (1996年奥运会在伦敦举办。) or (not (((-15 + 8) > (2 + 1)) or ((-10 + 14) <= (8 * 2) <= (6 + -16))))
C. not not (not not (((2 ** 1) > (4 * 4 + 4 * -3)) or (美国位于大洋洲。)))
D. ... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 1064002,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not not (((天王星是距离太阳第7近的行星。) and ((7 * 8) <= (-15 * 3) <= (2 + 16)... |
logic-v2 | Review these logical expressions:
A. Nitrogen is a solid at room temperature.
B. (not not (The capital of Kenya is Nairobi.)) and (((21 % 9) <= (46 % 2)) or (There are 30 days in December.))
C. (((5 ** 3) >= (-2 - -16)) or (The capital of New Zealand is Nairobi.)) and ((1 * 10 - -1 * 9) <= (10 - 20))
D. (not (Peru is ... | {
"game_data": {
"answer": "F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 78524056,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. Nitrogen is a solid at room temperature.\... |
logic-v2 | 下面是几个布尔表达式：
A. not not (((6 + 5) != (5 * 5 * 6 * -7)) or ((氮气在常温下是液体。) or (磷的化学符号是H。)))
B. (not ((15 + -14) == (-17 - -18))) and ((not ((10 - 11) > (2 ** 2))) and ((第二次世界大战开始发生在1939年。) or (汞在常温下是液体。)))
C. not (((空气在常温下是液体。) or ((-6 * 19) == (9 * 4 * -4 * 6))) or (美国宣布独立发生在1776年。))
D. (not ((14 + -3) <= (7 * 15) <= (2 ... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 73101625,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not not (((6 + 5) != (5 * 5 * 6 * -7)) or ((氮气在常温下是液体。) or (磷... |
logic-v2 | 检验这些表达式：
A. not ((泰国位于北美洲。) and ((11 * 9) < (-6 + 17)))
B. ((4 ** 1) != (-16 + 16)) or (铝的化学符号是Al。)
C. not not (((20是质数。) or (1988年奥运会在首尔举办。)) and (not not (瓢虫是昆虫。)))
D. ((((-18 * 19) != (-1 + -6)) or (火星是距离太阳第6近的行星。)) or (铬的化学符号是Cr。)) or ((2079年是闰年。) and ((5 * 8 * 6 * 8) < (8 - 13)))
E. (not (2055年是闰年。)) or (((空气在常温下... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 68096781,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. not ((泰国位于北美洲。) and ((11 * 9) < (-6 + 17)))\nB. ((4 ** 1) !=... |
logic-v2 | Examine these expressions:
A. not not (((((3 ** 2) < (19 * -11)) or (not not ((8 * -6 - 5 * 5) < (-17 - 2) < (8 - 13)))) and (not not (((The 1984 Olympics were held in Berlin.) and ((-14 - -12) > (5 ** 1))) or (not not ((18 * 19) > (7 * -6 - 6 * 7)))))) or (not ((The currency of United States is the Zloty.) and (not n... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 41960779,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not (((((3 ** 2) < (19 * -11)) or (not not... |
logic-v2 | Study the following logical statements:
A. Earth is the 5th planet from the Sun.
B. The currency of Czech Republic is the Rupiah.
C. ((The currency of Canada is the Dollar.) and ((10 * 2 + 10 * -6) >= (-20 * -13))) or ((38 is divisible by 10.) and ((3 % 1) < (-8 * 7 * 8 * -7)))
D. ((0 - 15) == (-7 + -8)) and ((Whales ... | {
"game_data": {
"answer": "D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 56643351,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. Earth is the 5th planet from the ... |
logic-v2 | 评估以下每个表达式：
A. ((not not (not not (not ((-3 + 18) <= (-10 * -6 * -5 * -10) <= (4 ** 2))))) or ((not not (((-17 * 16) >= (-8 + 20)) and ((-1 * -3 + 3 * 2) >= (1 ** 3)))) or ((挪威的首都是首尔。) and (not ((-8 * 16) < (-16 - 20))))) or (not (not not (not (((-1 * -7 - -8 * -10) >= (8 * 4 + -7 * -7)) and ((-2 * 9) >= (-8 * 10 - -3 ... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 73721949,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. ((not not (not not (not ((-3 + 18) <= (-10 * -6 * -5 * -10) <= (... |
logic-v2 | Below are several boolean expressions:
A. not not (not not (((-16 - 1) >= (4 - 1)) and (The currency of Chile is the Real.)))
B. ((15 + 13) > (10 * 1 * 5 * -4)) or ((Mercury is the 5th planet from the Sun.) and (The chemical symbol for Titanium is Cl.)) or (((-10 * 5 - 2 * -3) >= (-4 * 4 * 3 * -6)) and ((7 is less tha... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 92732969,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not not (not not (((-16 - 1) >= (4 -... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((not (((not not ((8 % 10) < (3 ** 2))) or ((美国宣布独立发生在1776年。) or ((1 * 7) != (-15 * -19)))) or ((((2 * 2 + 6 * -2) >= (13 - 3)) or (氮气在常温下是气体。)) or (钙的化学符号是Ca。)))) and (not (((海王星是距离太阳第6近的行星。) and (水蒸气在常温下是固体。)) or (not not (氢的化学符号是H。)))) and (not (((-5 * -6 + -4 * 10) != (9 * 4 - 10 * 10))... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 75966471,
"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 not ((8 % 10) < (3 ** 2))) or ((美国宣布独立发... |
logic-v2 | Consider the following logical expressions:
A. (not (not not ((The chemical symbol for Sodium is Na.) or (The chemical symbol for Chromium is Si.)))) or ((The 1948 Olympics were held in Berlin.) and ((A bee is an insect.) or (A tiger is an insect.)) and ((((-16 * -3) > (16 + 16)) and (Mercury is a liquid at room tempe... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 88368081,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (not (not not ((The chemical sy... |
logic-v2 | 审视以下逻辑表达式：
A. ((((-2 - 2) != (-18 * 5)) and (not (碳的化学符号是U。)) and (not not ((五月有31天。) or ((8 * -4 * 5 * -9) <= (9 * 1))))) and (人类首次登月发生在1969年。) and ((1972年奥运会在慕尼黑举办。) or (not ((-7 + -17) < (5 * -20))))) or ((not ((镁的化学符号是Co。) and (not not ((17 * 10) <= (-9 * 9 - -10 * -6))))) or ((((1992年奥运会在巴塞罗那举办。) and (俄罗斯的货币是澳元。)... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 60810925,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. ((((-2 - 2) != (-18 * 5)) and (not (碳的化学符号是U。)) and (not not... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not not (((-5 - 8) > (-20 * -3)) and ((Jupiter is the 5th planet from the Sun.) and (The Sun revolves around the Earth.))))
B. ((not (not not (Iron is a solid at room temperature.))) and ((((7 + 13) == (6 * 4 - -1 * -1)) or (The chemical symbol for Platinum is Pt.... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 16653207,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not not (((-5 - 8) > ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. A cat has 4 legs.
B. ((World War I ended occurred in 1918.) and (39 is greater than 12.)) or (((11 * -16) < (7 * -6 + -3 * -10) < (27 % 1)) and ((3 ** 3) != (-6 - -13)))
C. not ((14 + -18) <= (36 % 2) <= (1 ** 3))
D. not not (The capital of Peru is Caracas.)
E. not not... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 23863262,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. A cat has 4 legs.\nB. ((... |
logic-v2 | 检验这些表达式：
A. not ((1900年奥运会在巴黎举办。) or (((16 - 8) >= (19 - -1)) or ((14 + -5) < (14 + 18))))
B. not (((1956年奥运会在斯德哥尔摩举办。) and ((2 * -17) < (-19 + 3))) or (((-9 - 15) <= (1 * -1 + 3 * 3)) and ((-14 - -6) <= (-2 * -7 + 6 * 8))))
C. (冰的密度比液态水小。) or (((磷的化学符号是Sn。) or (铅的化学符号是Pb。)) and ((1996年奥运会在亚特兰大举办。) or (哥伦布到达美洲发生在1492年... | {
"game_data": {
"answer": "C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 81619346,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not ((1900年奥运会在巴黎举办。) or (((16 - 8) >= (19 - -1)) or ((14 + -5... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((((7 + 6) <= (12 * 1)) and (短吻鳄是鸟类。)) and ((2 * 2 + 6 * -3) != (6 * -12))) and (((-2 * 6 + -2 * 2) <= (-13 + -20)) and (南非的货币是兰特。)) and ((-20 - 16) <= (-16 * -18))) or (not (((哥伦比亚的首都是曼谷。) and (第二次世界大战开始发生在1939年。)) and (土星是距离太阳第6近的行星。)))) and ((not (168是完全平方数。)) and ((((8 * -2) <= (-2 * 4 * 9 * ... | {
"game_data": {
"answer": "B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 32762532,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((((7 + 6) <= (12 * 1)) and (短吻鳄是鸟类。)) and ((2 * 2 +... |
logic-v2 | 考虑以下布尔表达式：
A. not not (((美国的货币是美元。) and (现代奥运会首届举办发生在1896年。)) or (((15 % 6) < (14 - 7) < (8 * -17)) and (火烈鸟是鸟类。)))
B. not ((not (印度的首都是利雅得。)) or (((-9 + -10) < (-12 + 20) < (2 + -20)) or (87能被12整除。)))
C. ((((5 ** 1) < (-8 - 19) < (38 % 5)) or ((5 ** 2) < (1 + 15))) or ((113是偶数。) or ((-14 * -14) > (24 % 10)))) and (no... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 42539885,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not not (((美国的货币是美元。) and (现代奥运会首届举办发生在1896年。)) or (((15 % 6) < (1... |
logic-v2 | Consider the following logical expressions:
A. Ice is a solid at room temperature.
B. not not (The capital of Colombia is Bogota.)
C. not (not not (Steam is a solid at room temperature.))
Determine which expressions are true. List all true option labels separated by commas in \boxed{}. | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 92255363,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. Ice is a solid at room temper... |
logic-v2 | Analyze these boolean expressions:
A. not not (The capital of Indonesia is Jakarta.)
B. not (((The Great Fire of London occurred in 1666.) and (Antarctica is the coldest continent.)) or (((10 - 7) <= (-17 + 16) <= (-2 + 13)) or ((4 + 0) < (3 * -14))))
C. ((-1 - 7) < (-7 * -3 + -3 * -8)) or (((Sound cannot travel throu... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 24197730,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not (The capital of Indonesia is Jak... |
logic-v2 | 考虑以下布尔表达式：
A. (13 - 1) != (5 - 8)
B. not not (((-20 + -14) >= (3 ** 1)) or (人类只使用了大脑的10%。))
C. (not not (钻石由碳元素组成。)) and (土星是距离太阳第6近的行星。)
D. (((13 * 8) > (1 - -11)) or (氯的化学符号是Cl。)) or (not (六月有30天。))
E. (not not (1976年奥运会在安特卫普举办。)) or (((13 * -16) <= (5 * 8 * -10 * 8) <= (45 % 2)) or (声音在真空中传播更快。))
F. (海王星是距离太阳第7近的行星... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 99062687,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (13 - 1) != (5 - 8)\nB. not not (((-20 + -14) >= (3 ** 1)) or ... |
logic-v2 | 评估以下每个表达式：
A. (((((6 * -10) >= (26 % 3)) and (((18 - 1) != (3 + -4)) or (氧的化学符号是Mg。))) and (英国位于南美洲。)) and ((((-19 - 14) <= (-7 - -2) <= (7 - 14)) or ((-10 * 17) <= (-3 * 1 * 1 * 3) <= (1 * -6 * 7 * 3))) or ((4 ** 1) >= (9 * 5 * 2 * 10))) and ((not (not not (哥伦布到达美洲发生在1487年。))) and ((1988年奥运会在巴黎举办。) and (五月有31天。)) and... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 1444339,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (((((6 * -10) >= (26 % 3)) and (((18 - 1) != (3 + -4)) or (氧的化学符号是M... |
logic-v2 | Evaluate each expression below:
A. not (not (not ((not ((14 + 4) < (11 + -14))) and (((-8 * -1 + 1 * 3) <= (-2 + -6)) or ((20 * 15) == (-18 + -15))))))
B. not not (not (((-9 * 6 * 9 * 10) != (19 - 5)) and ((104 is an odd number.) and (Christopher Columbus reached America occurred in 1492.))))
C. not not (not (((There ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 77167004,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not (not (not ((not ((14 + 4) < (11 + -14))... |
logic-v2 | Study the following logical statements:
A. (not (not not ((The currency of Philippines is the Rupiah.) or (Whales are fish.)))) or ((((Sound travels faster in a vacuum.) or ((25 % 3) >= (4 * 7 * -3 * 6))) and (not not ((7 + -18) <= (-20 - -6)))) and (not not (not not ((11 * -17) < (1 % 5)))))
B. ((not (not ((17 - 2) >... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 51097161,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (not (not not ((The currency of Phi... |
logic-v2 | 检验这些表达式：
A. (not ((氧气对人类生存是必需的。) and (((智利的首都是开罗。) and (氦气在常温下是液体。)) or (not not (火星是距离太阳第3近的行星。))))) and (((((4 + 2) > (20 % 9)) and (((13 + 0) == (16 * 7)) or (第一次世界大战结束发生在1918年。))) and (((-7 * 2) > (2 ** 3)) and (2100年是闰年。)) and ((南非的货币是兰特。) or (((3 ** 2) >= (7 * 9)) or ((19 + -9) < (-9 * 12))))) and (not not (not ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 96339983,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (not ((氧气对人类生存是必需的。) and (((智利的首都是开罗。) and (氦气在常温下是液体。)) or (not not... |
logic-v2 | 评估以下每个表达式：
A. not (((人类只使用了大脑的10%。) or ((15 % 4) != (-6 * 6))) and (加拿大位于北美洲。))
B. (196的平方根是13。) and (哥伦布到达美洲发生在1487年。)
C. (((-4 * 6) < (40 % 1) < (1 ** 2)) or (((-8 * -5 + 4 * 10) == (-9 * 9 * -8 * 3)) or (镍的化学符号是Ni。))) or (((6 * -6 - 5 * 8) < (18 * -18) < (6 * -9 - 1 * 4)) and (泰国的货币是索尔。)) or ((not not ((2 ** 1) < (... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 55608885,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not (((人类只使用了大脑的10%。) or ((15 % 4) != (-6 * 6))) and (加拿大位于北美洲。))\... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not (((South Africa is in Africa.) or ((6 - -7) > (-7 + -19))) or ((The square root of 9 is 3.) and (Italy is in South America.)))) and (not (not (The currency of Philippines is the Lira.)))
B. (((((-19 - -5) <= (27 % 6)) or (Air is ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 36250064,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 分析以下逻辑表达式：
A. not not (((((not not ((5 * 1 * -9 * -8) <= (-12 * -8))) or (铁在常温下是固体。)) and (钾的化学符号是Zn。) and ((not not ((-18 - 9) == (12 + -6))) and ((土星是距离太阳第6近的行星。) or ((9 * -10 - 2 * 6) == (10 * -5 + 8 * -3))))) or ((not ((太阳绕地球运转。) and (1896年奥运会在慕尼黑举办。))) and (((金星是距离太阳第2近的行星。) and (四月有30天。)) or (澳大利亚的货币是福林。)))) and... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 44702764,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not (((((not not ((5 * 1 * -9 * -8) <= (-12 * -8))) or (铁在常温... |
logic-v2 | 检验这些表达式：
A. not not ((((4 ** 3) == (0 * 9)) and ((2 + 3) == (1 * 7 * 4 * 10))) and (((冰在常温下是气体。) or (蝙蝠是瞎的。)) and ((5 - -8) > (-9 + 20))))
B. (((-2 - -18) == (-4 * 5)) and (蝙蝠是瞎的。) and ((15 + -10) <= (-9 * -4))) or ((((3 - -2) < (7 * -9 * -7 * -1)) and ((36 % 4) < (-6 * 4 - 10 * -5) < (-2 - 20))) or (((-5 + -20) <= (9... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 99169278,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not ((((4 ** 3) == (0 * 9)) and ((2 + 3) == (1 * 7 * 4 * 10))) a... |
logic-v2 | Review these logical expressions:
A. (The 1896 Olympics were held in Paris.) or ((1 ** 2) == (-10 - 14))
B. not not ((A cow has 8 legs.) or ((The chemical symbol for Potassium is K.) or (The 2004 Olympics were held in Athens.)))
C. not not (The Soviet Union dissolved occurred in 1991.)
Which expressions are true? Ans... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 42596804,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (The 1896 Olympics were held in Paris.) o... |
logic-v2 | Examine these expressions:
A. Humans have five fingers on each hand.
B. not (not ((A snake has 0 legs.) and ((-2 * 12) >= (1 * -8 + 9 * 5))))
C. (A dolphin is a mammal.) and (Helium is a liquid at room temperature.)
Which ones are true? List the labels of all true options in \boxed{}, separated by commas. | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 85587762,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. Humans have five fingers on each hand.\nB. not (no... |
logic-v2 | Analyze these boolean expressions:
A. not not (((Saturn is the 6th planet from the Sun.) or (The capital of Austria is Vienna.)) and (not not (The chemical symbol for Neon is Ne.)))
B. (((Water boils at 100 degrees Celsius at sea level.) or ((-15 * 3) > (-9 * 3 * 6 * -6))) and ((Helium is a gas at room temperature.) o... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 88188405,
"true_count": 5
},
"question": "Analyze these boolean expressions:\n\nA. not not (((Saturn is the 6th plane... |
logic-v2 | 检验这些表达式：
A. not ((油在常温下是气体。) or (瑞典的货币是比索。))
B. ((植物通过光合作用产生氧气。) and (not ((32 % 8) < (-13 * 7)))) or (((6 + 0) == (-6 * -1 * 5 * 3)) or (not not (澳大利亚的货币是澳元。)))
C. ((not not (2044年是闰年。)) and ((水在常温下是液体。) and (木星是距离太阳第6近的行星。))) or (水星是距离太阳第8近的行星。)
D. not (not ((氦气在常温下是气体。) or (40能被6整除。)))
E. (哥伦布到达美洲发生在1492年。) or (190... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 38950666,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. not ((油在常温下是气体。) or (瑞典的货币是比索。))\nB. ((植物通过光合作用产生氧气。) and (n... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (Air is a gas at room temperature.) or ((((-15 + -5) < (-5 * -9 * 7 * -5)) or ((4 ** 1) < (12 * -19))) or (Saturn is the 6th planet from the Sun.))
B. (not not (not ((4 ** 3) != (-7 + -4)))) and ((The capital of Switzerland is Helsinki.) or ((3 ** 2) <= (0 * 8 * 9 * -6... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 6078617,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (Air is a gas at room tempera... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((((94是偶数。) or (埃及的首都是开罗。)) or (((-1 - -20) < (-2 * -2 + -8 * -2) < (-3 * 18)) and ((2 * 0 + 3 * 0) <= (1 ** 1)))) and (第二次世界大战结束发生在1947年。)) and (not (1912年奥运会在斯德哥尔摩举办。))) or (not not (17是质数。)) or ((((((-4 * -2 + -6 * 1) > (4 - -12)) and (西班牙位于北美洲。)) and (水星是距离太阳第4近的行星。)) and (((地球上一天是24小时。) and (... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 84278444,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((((94是偶数。) or (埃及的首都是开罗。)) or (((-1 - -20) < (-2 * -2 + ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((Jupiter is the 5th planet from the Sun.) or ((Indonesia is in Asia.) and (Mars is the 6th planet from the Sun.)) or (((-8 - -19) >= (-7 + -5)) or (not not ((50 % 7) >= (-18 - -7)))))
B. ((The currency of Indonesia is the Rupiah.... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 12346312,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (((not not (not not (The 1904 Olympics were held in Rome.))) or (((3 ** 2) <= (-8 * -9)) or (The chemical symbol for Carbon is Cl.)) or (1923 is a leap year.)) or (((-18 * 5) >= (7 * 5 + -3 * 4)) or ((19 * 4) <= (-9 - 9) <= (-4 * -16))))
B. (((not (Jupiter is t... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 75432552,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (((not not (not ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((Uranus is the 4th planet from the Sun.) or (Gold is a gas at room temperature.)) and (Ice is a solid at room temperature.)
B. (not ((17 + -18) > (-11 + -17))) or ((-3 - -10) < (-7 * -11))
C. not not (The 1980 Olympics were held in Moscow.)
D. (not not (Mercury is the... | {
"game_data": {
"answer": "B,C,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 14214989,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((Uranus is the 4th pl... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 火星是距离太阳最近的行星。
B. ((现代奥运会首届举办发生在1891年。) or ((7 % 1) <= (15 + -3))) or (not not ((2 ** 2) < (-14 - 4)))
C. ((人类每只手有五个手指。) and (芬兰的首都是赫尔辛基。)) or (摩洛哥位于非洲。)
哪些选项的值为真？请列出所有为真的选项标识，用逗号分隔，填入 \boxed{} 中。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 46118198,
"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. 火星是距离太阳最近的行星。\nB. ((现代奥运会首届举办发生在1891年。) or ((7 % 1) <... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (-8 - 1) <= (3 ** 1)
B. (金星是距离太阳第2近的行星。) or (土星是距离太阳第1近的行星。)
C. 印度尼西亚的货币是谢克尔。
D. ((蟑螂是昆虫。) and (印度的货币是克朗。)) or (not not (印度位于亚洲。))
E. (not not ((10 * -4 - 0 * -10) != (30 % 9))) and ((巴西位于南美洲。) and ((-15 - -12) < (-2 - -15)))
找出所有为 True 的表达式。在 \boxed{} 中给出答案，用逗号分隔。 | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 57785372,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (-8 - 1) <= (3 ** 1)\nB. (金星是距离太阳第2近的行星。) or (土星是距离太阳第... |
logic-v2 | Study the following logical statements:
A. not not (The 1996 Olympics were held in Sydney.)
B. not not ((9 + 8) <= (14 - -15))
C. ((((-1 + 2) <= (3 ** 2) <= (-4 + -14)) and (Chile is in South America.)) or ((The currency of Czech Republic is the Koruna.) and (1927 is a leap year.))) and (The currency of Canada is the ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 10862553,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not (The 1996 Olympics were hel... |
logic-v2 | Review these logical expressions:
A. The Moon produces its own light.
B. not ((-5 * 20) > (6 * -5 - 10 * -8))
C. (5 ** 2) == (-17 - -3)
D. The first iPhone was released occurred in 2009.
E. not (not not ((-18 + -4) != (11 - -1)))
Which expressions are true? Answer with comma-separated labels in \boxed{}. | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 88374429,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. The Moon produces its own light.\nB. not ((... |
logic-v2 | 考虑以下布尔表达式：
A. (not not ((((11 - -7) != (48 % 3)) and ((2 + 18) != (12 * -2))) or (not not ((30 % 9) < (4 ** 1) < (-3 + 8))))) or (((not not ((not (97是质数。)) and ((德国位于非洲。) and (南非位于非洲。)))) and ((((水星是距离太阳第4近的行星。) or (南极洲是最冷的大陆。)) or (not not (澳大利亚的货币是美元。))) or ((火星是距离太阳第5近的行星。) or (墨西哥的首都是墨西哥城。)))) and (not not (((((-6... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 22592422,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. (not not ((((11 - -7) != (48 % 3)) and ((2 + 18) != (12 * -2))) ... |
logic-v2 | 审视以下逻辑表达式：
A. (not (not ((((油在常温下是液体。) or ((-8 + -5) >= (15 % 7))) or ((165是奇数。) and (泰国位于亚洲。))) or ((2000年奥运会在莫斯科举办。) and ((-6 + 20) <= (10 + 5) <= (-20 + -9))) or ((((10 - -19) >= (16 + 1)) or (1932年奥运会在伦敦举办。)) and (捷克的首都是布拉格。))))) and (not ((((not ((2 * 2 - 4 * 4) == (-1 - -5))) and ((13 - -11) != (4 + -15))) or ((... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 30339954,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (not (not ((((油在常温下是液体。) or ((-8 + -5) >= (15 % 7))) or ((165是奇数... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((意大利位于大洋洲。) and (not ((-7 * -6 * 0 * 5) <= (8 * -4 - 5 * 8) <= (-1 * 3)))) and (((2016年奥运会在里约热内卢举办。) or ((6 * 3 * -5 * 8) < (17 - 12))) and (((中国位于南极洲。) or (麻雀是哺乳动物。)) or ((美国宣布独立发生在1776年。) and ((20 + 15) == (-7 * 9)))))
B. not ((((6 + 11) < (8 % 2)) and (龙虾有10条腿。)) and (((美国的货币是美元。) or ((18 - 4) ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 47768443,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((意大利位于大洋洲。) and (not ((-7 * -6 * 0 * 5) <= (8 * -4 - 5 * ... |
logic-v2 | Examine these expressions:
A. (not (((-19 + -4) >= (-10 + -20)) and ((Mercury is a solid at room temperature.) and ((48 % 4) != (-18 + -16))) and (Mars is the closest planet to the Sun.))) and (not not (not (((Earth is the 2nd planet from the Sun.) or ((1 + -8) == (-13 * 6))) and (((5 - -17) <= (2 ** 2)) and (Wood is ... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 22727679,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (not (((-19 + -4) >= (-10 + -20)) and ((Mercury ... |
logic-v2 | 给定以下布尔表达式：
A. (not ((not (埃及的货币是埃及镑。)) and (((5 ** 2) >= (-9 - -4)) and (猫有4条腿。)))) or (((1975年是闰年。) and ((17 + 13) >= (5 ** 1))) and ((17 + -5) >= (14 * 5)) and (天王星是距离太阳第7近的行星。))
B. (((氧气在常温下是气体。) and (not ((2 + 6) < (-8 * -5 + -6 * 4)))) and ((现代奥运会首届举办发生在1896年。) or (not not ((8 * -3) < (40 % 5))))) or (尼日利亚位于大洋洲。)... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 56158844,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not ((not (埃及的货币是埃及镑。)) and (((5 ** 2) >= (-9 - -4)) and (猫有4条腿... |
logic-v2 | Below are several boolean expressions:
A. not ((9 * 5 + -6 * -10) > (10 * -4 * -9 * -7))
B. Jupiter is the 6th planet from the Sun.
C. The Moon orbits the Earth.
Identify all expressions that are true. Answer with the option labels separated by commas in \boxed{}. | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 77307165,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not ((9 * 5 + -6 * -10) > (10 * -4 * -... |
logic-v2 | Given the following boolean expressions:
A. ((The 2004 Olympics were held in Athens.) and (not not ((Venus is the 2nd planet from the Sun.) and ((8 * -2 * -10 * 7) < (-9 * 0))))) and ((not not ((The Titanic sank occurred in 1912.) or ((2 ** 1) >= (-3 - -12)))) and (A lobster has 10 legs.))
B. (((((4 * 6 + 7 * 2) == (3... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 52026535,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. ((The 2004 Olympics were held in Ath... |
logic-v2 | Examine these expressions:
A. not not (France is in Europe.)
B. not not (The chemical symbol for Zinc is Zn.)
C. ((12 * -13) <= (4 ** 1)) or (not not (1948 is a leap year.))
D. (((Egypt is in Africa.) or ((11 + 0) > (2 + 15))) or ((Colombia is in South America.) and (South Africa is in Oceania.))) and ((The 1976 Olymp... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 81351975,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. not not (France is in Europe.)\nB. not not (... |
logic-v2 | Examine these expressions:
A. not (not not (not not ((not not ((The United States declared independence occurred in 1776.) or (The chemical symbol for Magnesium is Cr.))) and (not not ((16 * -10) == (-7 * -5 - -9 * 9))))))
B. not (((((((-1 * -1) <= (-14 * -3)) or (Copper is a solid at room temperature.)) and (Chile is... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 94184547,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not (not not (not not ((not not ((The United Sta... |
logic-v2 | 给定以下布尔表达式：
A. (((铜的化学符号是Si。) and (美国位于北美洲。)) or (((挪威的货币是克朗。) or ((-18 + 14) < (-7 + -18))) and (光速约为每秒30万公里。))) or (澳大利亚位于大洋洲。) or (not not ((1 ** 2) <= (-1 * -7 + 1 * 5) <= (-8 * 4 + 5 * 2)))
B. (((not not (蜥蜴是鸟类。)) or ((-13 + 17) < (8 - -1))) and (not not ((1924年奥运会在巴黎举办。) or ((-20 + -18) < (-13 * -7) < (6 + -17)))... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 83730446,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. (((铜的化学符号是Si。) and (美国位于北美洲。)) or (((挪威的货币是克朗。) or ((-18 + 14)... |
logic-v2 | Examine these expressions:
A. not (not not ((((-15 * -5) < (20 % 8) < (3 % 3)) and ((1 ** 2) <= (48 % 8)) and (not not ((Egypt is in Africa.) and (Brazil is in Asia.)))) or (((not (New Zealand is in Oceania.)) and ((Mercury is the 1st planet from the Sun.) and ((-12 - -20) > (8 * 9 + 5 * 2)))) or (((-2 * -6 + 7 * 9) >... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 87315920,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not (not not ((((-15 * -5) < (20 % 8) < (3 % 3... |
logic-v2 | Below are several boolean expressions:
A. not not ((not ((The 1908 Olympics were held in Melbourne.) or ((((12 - -6) > (45 % 8)) or ((18 - -14) != (-17 * 14))) and (The human body has 206 bones.)))) and (((((Mars is the closest planet to the Sun.) and (The currency of Canada is the Dollar.)) or (Water is a liquid at r... | {
"game_data": {
"answer": "D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 10035133,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not not ((not ((The 1908 Olympic... |
logic-v2 | 评估以下每个表达式：
A. not (((4 ** 3) >= (14 - -13)) and (三文鱼是鱼类。))
B. not not ((9 * -9 + 3 * 5) < (2 - -2))
C. not (((蜻蜓是昆虫。) and (沙特阿拉伯位于亚洲。)) or ((意大利位于南极洲。) or ((1 ** 2) > (5 ** 2))))
D. (((氮的化学符号是Cr。) or (铜的化学符号是Pt。)) and (电流比光速更快。)) or ((not not ((22 % 1) == (-13 + -11))) and (not ((2 * 19) >= (-4 * 2))))
E. ((-9 * -6 + ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 66357140,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not (((4 ** 3) >= (14 - -13)) and (三文鱼是鱼类。))\nB. not not ((9 * -9 ... |
logic-v2 | Given the following boolean expressions:
A. ((((-7 * -7) < (18 - 19)) or ((9 - -19) < (3 ** 1)) or (not (not (Neptune is the 5th planet from the Sun.)))) or (not ((not (2058 is a leap year.)) and ((South Africa is in Africa.) and ((2 ** 1) < (13 * 5)))))) or ((((16 - 19) < (3 + 10)) and (not (((-16 + 6) == (5 * 7)) or... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 38850451,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. ((((-7 * -7) < (18 - 19)) or ((9 - -... |
logic-v2 | Given the following boolean expressions:
A. not (not (((not (Neptune is the 3rd planet from the Sun.)) or ((The 1904 Olympics were held in St. Louis.) or (((4 - 17) >= (-1 * 6 + -8 * -10)) and (A lobster has 10 legs.)))) and (((Gold is a solid at room temperature.) and (((13 * 10) >= (10 * 5 + 8 * 2)) and ((-7 * -2) <... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 61281521,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not (not (((not (Neptune is the ... |
logic-v2 | Consider the following logical expressions:
A. not not ((not not ((not (The currency of Israel is the Dollar.)) and (The currency of Singapore is the Yen.) and (not not ((The capital of Belgium is Brussels.) or ((12 + -12) != (-2 * 5)))))) and (not not ((not not ((843 is a Fibonacci number.) and ((4 ** 1) <= (42 % 4))... | {
"game_data": {
"answer": "C,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 54821739,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. not not ((not not ((not (Th... |
logic-v2 | Consider the following logical expressions:
A. not ((not not (not not ((not not (Penguins can fly.)) and (not not ((-16 * -20) != (-20 * -18)))))) and (((((16 * 19) < (2 ** 1) < (9 - 15)) and (The capital of Kenya is Nairobi.)) and (The 1964 Olympics were held in Tokyo.)) or (The capital of Japan is Tokyo.)) and (not ... | {
"game_data": {
"answer": "A,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 81573763,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. not ((not not (not not ((no... |
logic-v2 | 给定以下布尔表达式：
A. ((not not (not ((15 * 14) >= (-6 * 8)))) and (not not (not (not (530是斐波那契数。))))) and (((((澳大利亚位于大洋洲。) and ((-12 + -2) < (-1 + 1))) or (not not ((1 ** 3) == (-3 + -11)))) or (((摩洛哥的首都是拉巴特。) or ((16 + -14) < (0 * -12))) or (南非的货币是雷亚尔。))) and ((not not ((锰的化学符号是Mn。) or ((0 + -5) == (19 * -19)))) and (not (水... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 55475313,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. ((not not (not ((15 * 14) >= (-6 * 8)))) and (not not (not (not (5... |
logic-v2 | 分析以下逻辑表达式：
A. not ((not not (77是质数。)) or (((0 + 2) >= (2 * 2)) or (181是完全平方数。)))
B. ((((-20 * 18) < (7 - -19)) or (88大于24。)) and (中国的货币是索尔。)) and ((企鹅能飞翔。) or (not not (锰的化学符号是Mg。)))
C. (((1956年奥运会在墨尔本举办。) and (1995年是闰年。)) or (七月有30天。)) and ((-16 + -18) > (4 ** 1))
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",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 87125996,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. not ((not not (77是质数。)) or (((0 + 2) >= (2 * 2)) or (181是完全平方数。)))... |
logic-v2 | Below are several boolean expressions:
A. ((not not (((A rabbit is a mammal.) and (The currency of Israel is the Shekel.)) or ((9 * -3 + 6 * -7) < (-18 - -10)))) or (((4 * -16) != (46 % 10)) and ((-10 * -14) < (-18 + 0) < (1 ** 2)))) and (((not not (((-13 * -18) < (9 * -11)) and ((15 % 2) < (4 * 9 * 0 * -8)))) or (Wor... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 62503909,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. ((not not (((A rabbit is a mammal.... |
logic-v2 | 考虑以下布尔表达式：
A. ((not not (not not (美国宣布独立发生在1778年。))) and (not not ((40能被12整除。) and (((冰在常温下是液体。) and (铁的化学符号是Fe。)) and (八月有31天。))))) or (((((not (土星是距离太阳第3近的行星。)) or (not not (尼日利亚的货币是奈拉。))) or ((not not (五月有31天。)) and (not (火烈鸟是鸟类。)))) and (not not (((2000年奥运会在斯德哥尔摩举办。) and ((2 ** 1) <= (45 % 7) <= (3 * -5 + -3 * 2))... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 12707703,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((not not (not not (美国宣布独立发生在1778年。))) and (not not ((40能被12整除... |
logic-v2 | Given the following boolean expressions:
A. (not (not (not (not ((Electricity flows faster than light.) or ((19 - 18) <= (27 % 6))))))) or (not not ((not (not ((-13 - -18) <= (15 % 5)))) or (((56 is greater than 79.) or (A grasshopper is a reptile.)) and (((-2 * -17) > (16 * -19)) and (The 1968 Olympics were held in M... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 94486674,
"true_count": 6
},
"question": "Given the following boolean expressions:\n\nA. (not (not (not (not ((Elec... |
logic-v2 | Below are several boolean expressions:
A. not not (not not (((not (not not (Water is a liquid at room temperature.))) and (The Titanic sank occurred in 1912.)) or (((not ((-3 - -20) >= (-7 + 18))) and (not not ((6 * 7 - 10 * -10) <= (-14 + -5) <= (19 * 10)))) or ((19 + -8) <= (5 ** 1)))))
B. not ((not (not (The chemic... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 64458977,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not not (not not (((not (not not (Wa... |
logic-v2 | Examine these expressions:
A. not not ((not not ((Sound travels faster in a vacuum.) and (((15 * 9) <= (0 - 4)) and (The United States declared independence occurred in 1776.)) and (not ((Mars is the 4th planet from the Sun.) or ((3 ** 3) > (-1 * 3 * 0 * -5)))))) or (not not (not ((2 * 2 + 1 * 4) > (9 - 5)))))
B. not ... | {
"game_data": {
"answer": "D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 83925,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not ((not not ((Sound travels faster in a vacuu... |
logic-v2 | Analyze these boolean expressions:
A. not (not not ((not not (not not (not ((3 ** 1) < (-3 * -20))))) and (((((-12 + 3) >= (-1 * 1 - -1 * 10)) and ((4 - 16) >= (5 - 19))) and ((1964 is a leap year.) or (The chemical symbol for Silver is Ag.))) and ((-7 - -12) < (-4 * 9 * -7 * 0)))))
B. not ((not (((12 % 6) > (5 * -5 *... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 31593910,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not (not not ((not not (not not (not ((3... |
logic-v2 | Consider the following logical expressions:
A. (not (not not (((-20 * 16) <= (48 % 4)) or (not not ((10 + -12) == (-4 * 1)))))) and (not not (((((41 % 5) <= (-5 + 3)) or (Iron is a solid at room temperature.)) or (not (((-18 * -17) < (45 % 7)) and (The chemical symbol for Oxygen is O.)))) and (not not ((-20 * 1) > (1 ... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 19208064,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (not (not not (((-20 * 16) <= (... |
logic-v2 | 考虑以下布尔表达式：
A. not not ((not (((((-3 * -8) <= (-12 - 18) <= (2 ** 3)) and (第一次世界大战结束发生在1916年。)) and ((-5 * 7 * 10 * -5) < (-17 - 17) < (10 - 3))) or (爱尔兰的首都是都柏林。))) or ((((罗马尼亚的首都是布加勒斯特。) or (中国的货币是人民币。)) and (瑞士的货币是印尼盾。)) and (not (((12 * 0) <= (19 - -18)) or ((19 * -15) >= (6 * 1 - -10 * 6)))) and (not not ((((2 - 10... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 4792027,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not not ((not (((((-3 * -8) <= (-12 - 18) <= (2 ** 3)) and (第一次世界大战... |
logic-v2 | Given the following boolean expressions:
A. not (((not (The 2020 Olympics were held in Montreal.)) and (A lizard is a reptile.)) or ((6 * 19) >= (14 - -17)) or (not not ((not (Germany is in Antarctica.)) and (not not ((9 - -18) < (4 * 5 * 3 * 0))))))
B. not ((not ((18 + -5) != (-16 * 16))) or (not (((-4 * -6) <= (27 %... | {
"game_data": {
"answer": "C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 1975961,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. not (((not (The 2020 Olympics... |
logic-v2 | Examine these expressions:
A. ((not ((((-6 * -2 + -5 * 9) == (2 - 10)) or ((1 * 19) != (-12 * 1))) or ((The chemical symbol for Lead is Mg.) and ((-1 * -1 + 7 * 2) == (-5 * -18))))) and ((Whales are fish.) or (not not (((3 * -10 * 7 * 7) < (10 - -20)) and (37 is a Fibonacci number.))))) and (not not (not (((5 - -18) !... | {
"game_data": {
"answer": "E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 45733169,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. ((not ((((-6 * -2 + -5 * 9) == (2 - 10)) or ((... |
logic-v2 | Study the following logical statements:
A. (not (((not not (((-3 - -14) < (5 ** 1)) or (Nitrogen is a solid at room temperature.))) and (not ((-11 + 5) <= (-4 * 4 - 0 * 9) <= (-1 * -1)))) or ((Jupiter is the 5th planet from the Sun.) and (not ((-4 * 15) != (17 * -3)))))) or ((not not (not not ((not (The chemical symbo... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 2884592,
"true_count": 5
},
"question": "Study the following logical statements:\n\nA. (not (((not not (((-3 - -14) <... |
logic-v2 | Below are several boolean expressions:
A. (not (not not (not not ((not (A salmon is a fish.)) and ((Alcohol is a liquid at room temperature.) or (165 is an even number.)))))) or (((not not ((13 % 9) < (-9 * -8 * 3 * 9))) or (((not ((-14 * 9) == (2 * 5))) or ((-20 * 16) != (-18 - 7))) or (The currency of United States ... | {
"game_data": {
"answer": "A,B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 10140560,
"true_count": 6
},
"question": "Below are several boolean expressions:\n\nA. (not (not not (not not ((not... |
logic-v2 | 下面是几个布尔表达式：
A. ((((((3 ** 2) <= (12 * -7)) and (智利的首都是圣地亚哥。)) and ((铅的化学符号是Ti。) or ((-4 + -20) > (16 - 20))) and ((水在常温下是液体。) or (天王星是距离太阳第7近的行星。))) or (not ((九月有31天。) or (莱特兄弟首次飞行发生在1903年。)))) or (not (not not (not (not (第一次世界大战开始发生在1914年。)))))) and (((人类每只手有五个手指。) or (荷兰的首都是阿姆斯特丹。)) or (not not (not not (韩国的货币是比索。))... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 40341291,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. ((((((3 ** 2) <= (12 * -7)) and (智利的首都是圣地亚哥。)) and ((铅的化学符号是Ti。) ... |
logic-v2 | Consider the following logical expressions:
A. (((-9 * -7 + 3 * -10) != (10 - 11)) or (((14 - 17) > (8 * -8 + -8 * 2)) or (((-17 * 4) == (-5 + 0)) or ((17 - 12) < (42 % 4))))) or ((Carbon dioxide is a gas at room temperature.) and (((-17 * -4) > (0 * 8 + 1 * -6)) or ((-1 * 7) <= (-2 * 15) <= (50 % 7))) and (not (((3 *... | {
"game_data": {
"answer": "A,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 70549242,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. (((-9 * -7 + 3 * -10) != (1... |
logic-v2 | 评估以下每个表达式：
A. not not ((2 ** 2) != (47 % 9))
B. (not not (75大于73。)) or (not (2058年是闰年。))
C. (((5 + 4) != (-2 - 11)) or ((瑞士的货币是瑞士法郎。) and (4的平方根是5。))) or ((20 % 6) <= (39 % 9) <= (6 * -3 + 8 * -2))
D. (((印度尼西亚的货币是印尼盾。) and ((-20 - -1) <= (5 ** 1))) and ((6 - -14) != (5 + -14))) or (越南位于亚洲。)
E. not not (氯的化学符号是Mn。)
列出... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 54589978,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. not not ((2 ** 2) != (47 % 9))\nB. (not not (75大于73。)) or (n... |
logic-v2 | 考虑以下布尔表达式：
A. not not ((not not ((not not ((挪威的首都是奥斯陆。) or ((5 - -5) <= (26 % 1) <= (9 * -18)))) or ((-7 * 2 - 10 * 4) == (-3 - -5)))) or (not (((瓢虫是昆虫。) or ((5 ** 2) < (-8 + -2))) or ((-7 - 8) < (1 - -11)))))
B. not (((((3 + 11) >= (4 * -6 - 3 * 3)) or (((第一次世界大战开始发生在1915年。) and (27是完全平方数。)) and (((-13 * -9) == (-2 *... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 65416677,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. not not ((not not ((not not ((挪威的首都是奥斯陆。) or ((5 - -5) <= (2... |
logic-v2 | Analyze these boolean expressions:
A. not ((((not ((7 - -17) > (-3 * -20))) or ((The chemical symbol for Gold is Au.) or (Japan is in Asia.))) and ((Sound travels faster in a vacuum.) and ((7 % 3) == (-9 * -7 * -4 * 10))) and ((not (There are 30 days in May.)) and ((-10 + 6) < (-2 + 9)))) or (((The chemical symbol for... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 6115946,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not ((((not ((7 - -17) > (-3 * -20))) o... |
logic-v2 | 考虑以下布尔表达式：
A. (not (not (not (not not (第一次世界大战结束发生在1918年。))))) and (((not (加拿大的首都是里斯本。)) and (not not ((-19 * 8) < (-2 + 8)))) or ((not not (((-7 * 9 + -9 * 0) > (-8 - -11)) or ((10 * -17) >= (-1 + 9)))) and ((波兰的首都是渥太华。) and (阿根廷位于南美洲。)) and ((9 - 8) != (30 % 1))))
B. (((not not (not not ((17 + -12) == (4 ** 1)))) an... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 65962897,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. (not (not (not (not not (第一次世界大战结束发生在1918年。))))) and (((not (加拿大的首... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 水星是距离太阳第4近的行星。
B. (not (钛的化学符号是Ti。)) or (((-15 - 5) < (9 + -1)) and ((27 % 1) <= (-17 - 5) <= (-2 * -6 + 5 * -10)))
C. not not (not not (钾的化学符号是Ag。))
D. (((-12 * -14) >= (20 * 0)) or ((-13 * 15) < (-12 + 20) < (-7 * -10 + 6 * -1))) and ((3 * 2 + -10 * -7) < (5 ** 3))
E. (not not ((-3 * -8 + 5 ... | {
"game_data": {
"answer": "D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 40805296,
"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. 水星是距离太阳第4近的行星。\nB. (not (钛的化学符号是Ti。)) or (((-15 - 5... |
logic-v2 | Below are several boolean expressions:
A. (Light travels faster than sound.) or (((-5 * -9 - -10 * -3) >= (1 + 20)) or (The capital of Turkey is Ankara.))
B. There are 31 days in May.
C. (-7 + 2) >= (-2 - 1)
D. The chemical symbol for Helium is He.
E. (-20 - 8) <= (-6 * 10 + 10 * 7)
Identify all expressions that are ... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 25694019,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. (Light travels faster than sound... |
logic-v2 | Evaluate each expression below:
A. ((((There are 31 days in May.) or (There are 30 days in April.)) or (not not (The first iPhone was released occurred in 2007.))) and (((-12 * 9) >= (4 ** 3)) and ((-1 * -2 - 7 * 2) < (10 - -12))) and (The Pacific Ocean is the largest ocean.)) or (not not ((not not ((4 * 5 + 1 * -4) !... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 29691501,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. ((((There are 31 days in May.) or (Ther... |
logic-v2 | 研究以下逻辑语句：
A. (((not (1964年奥运会在东京举办。)) or (((38 % 6) >= (-4 + 20)) and ((11 - 16) < (1 ** 3)))) or ((-9 + 5) == (-18 + -6)) or ((((-1 * 8) >= (16 * 1)) and (法国大革命开始发生在1784年。)) or ((水在常温下是固体。) or (荷兰的首都是阿姆斯特丹。)))) and (not not ((十月有31天。) and (水星是距离太阳第2近的行星。))) and ((第一次世界大战开始发生在1914年。) or ((((7 * 6 - -3 * 5) != (1 % 9))... | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 87138722,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (((not (1964年奥运会在东京举办。)) or (((38 % 6) >= (-4 + 20)) and ((11 - 1... |
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