env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Below are several boolean expressions:
A. not (not not (not (not not (not not ((The capital of Poland is Warsaw.) or (There are 28 days in June.))))))
B. not (not (not (not not ((((17 * 10) != (15 - 20)) and (Helium is a gas at room temperature.)) and ((-15 + 6) <= (-11 * 19))))))
C. not (not (((Sound travels faster i... | {
"game_data": {
"answer": "A,B,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 93812394,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. not (not not (not (not not (no... |
logic-v2 | Consider the following logical expressions:
A. not ((not not ((not (Oxygen is a gas at room temperature.)) or (Steam is a liquid at room temperature.))) or (((The capital of Singapore is Singapore.) and (not not (60 is a prime number.)) and ((not ((-2 + 7) != (-14 + 17))) or (not ((-1 - -14) >= (4 ** 1))))) and (((-6 ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 54324397,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. not ((not not ((not (Oxygen... |
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 (((16的平方根是4。) and ((氦的化学符号是U。) and ((9 * -9 * 4 * -1) <= (18 * 13)))) and ((not not (地球上一天是24小时。)) and (丹麦的首都是吉隆坡。)))) or ((钻石由碳元素组成。) and ((新西兰的首都是惠灵顿。) or ((五月有31天。) and (水蒸气在常温下是气体。)))) or (not not (((not (氧的化学符号是Ne。)) or (伦敦大火发生在1671年。)) or (六月有30天。) or (鳄鱼是爬行动物。))))
B. not n... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 89037639,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not ((not (((16的平方根是4。) and ((氦的化学符号是U。) and ((9 ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((not not ((钻石由碳元素组成。) and (2093年是闰年。))) and ((-4 - 4) < (1 ** 2))) or ((not (((-9 * -2) >= (8 * -15)) or ((-17 + -10) >= (-7 * -17)))) and ((-15 * 13) >= (1 * 7 * 6 * -4)))
B. ((not ((哥伦比亚的货币是瑞士法郎。) or (沙特阿拉伯的货币是里亚尔。))) or ((13 - 14) <= (-18 - -5) <= (5 * -2))) or (((not (南非位于非洲。)) or ((酒精在常温... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 94478935,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((not not ((钻石由碳元素组成。) and (2093年是闰年。))) and ((-4 - 4... |
logic-v2 | 审视以下逻辑表达式：
A. (((not (not not (中国的货币是人民币。))) or (((波兰的货币是兰特。) and ((0 * -2) == (8 * 15))) and ((捷克的首都是哈瓦那。) or (1976年奥运会在墨尔本举办。)))) or (((-7 - 4) < (3 * 5 - 3 * -7) < (-10 - 0)) and (not not ((8 + -15) >= (1 * -5 - -4 * 3))) and (not not ((瑞典的货币是欧元。) and (苏联解体发生在1991年。))))) and (not not ((((瓢虫是昆虫。) or (秘鲁的货币是雷亚尔。)) or... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 73214273,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (((not (not not (中国的货币是人民币。))) or (((波兰的货币是兰特。) and ((0 * -2) == (... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not not (not not (第二次世界大战结束发生在1945年。))) and ((not not (not not (捷克的货币是加元。))) or (((4 ** 1) < (2 ** 2)) or ((-17 - 2) < (18 - 11))) or ((3 ** 2) > (6 % 1)))) and (not (((智利的货币是克朗。) and (((-14 * -17) < (3 - 17)) and (智利的货币是比索。))) and (((甲虫是鸟类。) and (氢的化学符号是Pb。)) and (not (苍蝇是昆虫。)))))) and (not (((... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 52773499,
"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 (第二次世界大战结束发生在1945年。))) and ((not n... |
logic-v2 | 检验这些表达式：
A. (((2016年奥运会在雅典举办。) or (49的平方根是11。)) and (((波兰的货币是兹罗提。) and ((-14 - 5) >= (-6 * -6 * 8 * 3))) and ((-2 + 18) > (6 + 7)))) and (not not ((((49 % 10) <= (16 - 7)) or (巴西位于南美洲。)) or (not not (汞在常温下是固体。))))
B. (((not (1977年是闰年。)) or ((19 - -17) > (-3 - 7))) and ((法国位于欧洲。) and (((26 % 2) < (-14 + -14)) and ((-12... | {
"game_data": {
"answer": "G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 65332651,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (((2016年奥运会在雅典举办。) or (49的平方根是11。)) and (((波兰的货币是兹罗提。) and ((-14 -... |
logic-v2 | 检验这些表达式：
A. 哥伦布到达美洲发生在1491年。
B. (((-3 - 18) <= (2 ** 2) <= (2 ** 3)) and (113是奇数。)) or ((72是偶数。) or ((-16 - -18) >= (-2 * 5 - -4 * -4)))
C. not ((49的平方根是7。) and ((-8 + -2) > (-2 * 6 + 8 * -3)))
D. ((美国宣布独立发生在1771年。) and (冰的密度比液态水小。)) or (not not (瑞士的货币是瑞士法郎。))
E. not ((蜘蛛有8条腿。) or (海王星是距离太阳第6近的行星。))
F. 一月有31天。
G. ((4 ... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 43449120,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. 哥伦布到达美洲发生在1491年。\nB. (((-3 - 18) <= (2 ** 2) <= (2 ** 3)) and (1... |
logic-v2 | 给定以下布尔表达式：
A. not not ((((水星是距离太阳第1近的行星。) or ((not (智利的首都是圣地亚哥。)) or (not not (69是质数。)))) or ((not not (狗是哺乳动物。)) and (((0 * 9 - -3 * 5) != (15 % 1)) or ((49 % 6) < (-2 * -10 + 3 * 0) < (-8 - -1))) and ((9 * 7 + -8 * 0) != (15 + 12)))) and (not not ((((鸟有2条腿。) and (智利的首都是圣地亚哥。)) and ((水在海平面上的沸点是100摄氏度。) or (20是质数。))) ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 46915327,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. not not ((((水星是距离太阳第1近的行星。) or ((not (智利的首都是圣地亚哥。)) or (not ... |
logic-v2 | 分析以下逻辑表达式：
A. not not (not not (鸟有2条腿。))
B. ((14 * -10) <= (-7 - 19)) or (not not ((土星是距离太阳第3近的行星。) and (新西兰位于南极洲。)))
C. not not (鱼有0条腿。)
D. not not ((not ((-13 * -5) != (17 - -9))) and (钛的化学符号是Ti。))
E. ((((5 * 3) != (6 + -4)) or (1905年是闰年。)) or (not not ((-7 * 1 + -7 * -9) < (-14 * -10)))) or (not ((4 ** 3) >= (20 - ... | {
"game_data": {
"answer": "A,B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 36084391,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. not not (not not (鸟有2条腿。))\nB. ((14 * -10) <= (-7 - 19)) o... |
logic-v2 | Review these logical expressions:
A. not (((-19 - 14) < (-10 * 13)) and (not not ((18 % 1) < (-3 * 0 + -3 * 5))))
B. ((United Kingdom is in Africa.) and (((-10 + 17) == (-8 * 7 + -3 * -6)) and (Gold is a solid at room temperature.))) and (The chemical symbol for Oxygen is Mn.)
C. not not ((((-11 + 11) >= (6 - -9)) or ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 24161880,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not (((-19 - 14) < (-10 * 13)) and (not n... |
logic-v2 | 审视以下逻辑表达式：
A. not ((((-6 - 17) < (-5 * -9 * 4 * -10)) and (61能被6整除。)) and (((7 - 11) > (36 % 9)) and (德国位于南美洲。)))
B. not ((16 + -12) < (18 - -16))
C. (((西班牙位于南美洲。) or (84是质数。)) and ((128是奇数。) or (光速约为每秒30万公里。))) or ((((-5 * -1 - 6 * 5) == (20 % 5)) or (蜘蛛是昆虫。)) and ((5 * 11) > (9 - 14)))
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 88087925,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not ((((-6 - 17) < (-5 * -9 * 4 * -10)) and (61能被6整除。)) and (((7 -... |
logic-v2 | 审视以下逻辑表达式：
A. (((not not ((-18 + 8) < (2 * 6 * 8 * -7))) and (not ((匈牙利的货币是福林。) or (南极洲是最冷的大陆。)))) and ((加拿大的货币是克朗。) and ((((4 + 13) < (4 * 9 + -2 * 5)) or ((14 + -12) < (-13 - -7))) or ((2000年奥运会在东京举办。) and (声音无法在真空中传播。))))) or ((not ((-5 + 3) < (5 * -8))) and ((金鱼是昆虫。) or (not not ((3 ** 2) >= (37 % 10)))) and ((((1... | {
"game_data": {
"answer": "B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 75237166,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. (((not not ((-18 + 8) < (2 * 6 * 8 * -7))) and (not ((匈牙利的货币... |
logic-v2 | Given the following boolean expressions:
A. Ice is a solid at room temperature.
B. Diamonds are made of carbon.
C. The chemical symbol for Iron is Fe.
D. not not (((15 * 16) >= (13 - -8)) and ((-19 * -13) == (-10 * 10 + -8 * -8)))
Select all that evaluate to True. Put your answer in \boxed{} as comma-separated labels... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 81019554,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. Ice is a solid at room temperatu... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((not not ((-10 * -19) == (-10 * -1 * -9 * -8))) or ((The capital of India is New Delhi.) and ((The capital of Greece is Rome.) or (1943 is a leap year.))) or (not not ((5 * -6 * 0 * -10) == (4 * -1 + -9 * 6))))
B. not not (not (((450 is a Fibonacci number.) an... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 9831650,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((not not ((-10 * -19... |
logic-v2 | Analyze these boolean expressions:
A. Mercury is a liquid at room temperature.
B. ((0 - -12) >= (5 ** 2)) or (A butterfly has 8 legs.)
C. ((-14 - -3) == (5 * -11)) and (((-4 * 9 - -9 * -9) < (-10 * -2 * -1 * -6)) or ((-14 + -11) < (15 * -8)))
D. (Germany is in Europe.) or (The human body has 206 bones.)
E. (-9 * 9 + 5... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 73670310,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. Mercury is a liquid at room temperature.... |
logic-v2 | 下面是几个布尔表达式：
A. not not (not not ((not ((5 * -5 - -7 * 1) >= (19 - -10))) and (((not ((-3 * -9 * 10 * -5) >= (-2 - 9))) or (((-19 + -17) <= (-16 * -14) <= (-4 + -14)) and ((-16 + -5) < (5 ** 3)))) or (not not ((6 * 8 * -5 * 6) <= (44 % 8) <= (-19 - -4))))))
B. not (not ((((1928年奥运会在阿姆斯特丹举办。) or ((海王星是距离太阳第2近的行星。) and (... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 65168506,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. not not (not not ((not ((5 * -5 - -7 * 1) >= (19 - -10))) and (((... |
logic-v2 | Study the following logical statements:
A. ((((The 1952 Olympics were held in Beijing.) and ((12 % 10) > (1 ** 3))) or ((The chemical symbol for Uranium is U.) and (The 1932 Olympics were held in Los Angeles.))) or ((not not ((39 % 2) <= (19 % 5) <= (1 ** 3))) and (((-4 * 3 * 3 * 4) <= (5 ** 1) <= (-17 + 9)) and (Nige... | {
"game_data": {
"answer": "A,C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 88901502,
"true_count": 6
},
"question": "Study the following logical statements:\n\nA. ((((The 1952 Olympics were ... |
logic-v2 | Examine these expressions:
A. (not not ((not not (not not ((-6 * 11) >= (10 + -7)))) or ((The 1928 Olympics were held in Amsterdam.) and (((-14 * 4) <= (10 * -7 - 9 * -3) <= (-14 - 6)) and (37 is divisible by 5.))))) or (not not ((There are 28 days in July.) and ((((14 - -11) != (3 ** 3)) or ((10 * 9) > (7 * 8 + -7 * ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 85860740,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. (not not ((not not (not not ((-6 * 11) >= (10 + -7... |
logic-v2 | Review these logical expressions:
A. not (not not ((not not (The 1896 Olympics were held in Athens.)) and ((Mercury is the 1st planet from the Sun.) or (South Korea is in Asia.))))
B. (not (((The United States declared independence occurred in 1776.) or (The Sun revolves around the Earth.)) and ((The capital of Saudi ... | {
"game_data": {
"answer": "B,C,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 19208857,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. not (not not ((not not (The 1896 Ol... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (((The currency of Mexico is the Peso.) or ((There are 30 days in August.) or ((16 - -13) < (-4 - -12)))) and (The square root of 16 is 4.)) and (((3 ** 3) >= (13 + -7)) or ((The currency of Egypt is the Franc.) and (not not (India is in ... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 79583876,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | 下面是几个布尔表达式：
A. ((((1 ** 2) > (46 % 1)) and (铝的化学符号是Au。)) or (((-5 * 8 + -7 * 2) < (-10 + -6) < (4 * 7 + 7 * -5)) or (汞在常温下是气体。))) or (氮气在常温下是气体。) or ((((-3 * 10 + 0 * -3) < (39 % 9)) and ((-10 - 2) == (-2 - -17))) and (not not ((-1 * -5) != (5 * -2 - -8 * -5))))
B. (not not (not not (水蒸气在常温下是液体。))) and (((墨西哥的首都是墨西哥城。... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 73217412,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. ((((1 ** 2) > (46 % 1)) and (铝的化学符号是Au。)) or (((-5 * 8 + -7 *... |
logic-v2 | 下面是几个布尔表达式：
A. 火星是距离太阳第8近的行星。
B. (((2 - -1) < (-1 - -20)) or (锰的化学符号是Mn。)) and (663是斐波那契数。)
C. ((5 * -6 - 0 * -1) < (17 * 13) < (-1 * -1)) or ((第二次世界大战结束发生在1944年。) and (木星是距离太阳第5近的行星。))
D. not ((木头在常温下是固体。) and ((-15 * 4) < (-9 * -13) < (3 ** 3)))
E. (((2 * -15) > (-8 * -17)) or (二氧化碳在常温下是气体。)) or ((1903年是闰年。) or ((-6... | {
"game_data": {
"answer": "D,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 46002933,
"true_count": 5
},
"question": "下面是几个布尔表达式：\n\nA. 火星是距离太阳第8近的行星。\nB. (((2 - -1) < (-1 - -20)) or (锰的化学符号是Mn... |
logic-v2 | 评估以下每个表达式：
A. not ((not (十月有29天。)) and (人类只使用了大脑的10%。) and ((not (二氧化碳在常温下是固体。)) or ((1928年是闰年。) or (巴西的货币是克朗。))))
B. not (not not (not ((9 * 0) <= (-3 - -1))))
C. ((((酒精在常温下是液体。) and ((10 - -1) == (2 % 8))) and (泰国位于大洋洲。)) or ((49 % 7) != (10 * 12))) and ((((10 * -2) != (17 * 17)) and ((-9 * -19) == (2 + 7))) and ((巴... | {
"game_data": {
"answer": "A,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 68347290,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. not ((not (十月有29天。)) and (人类只使用了大脑的10%。) and ((not (二氧化碳在常温下... |
logic-v2 | Consider the following logical expressions:
A. (not not (not ((not not ((0 * 1 + -8 * 9) < (0 + 10))) or (not not (Jupiter is the 1st planet from the Sun.))))) or ((((The Soviet Union dissolved occurred in 1991.) or ((30 % 1) >= (13 * 3))) and (((20 + 18) < (1 ** 2)) and (The currency of Argentina is the Sol.))) or ((... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 55790667,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (not not (not ((not not ((0 *... |
logic-v2 | Study the following logical statements:
A. (1 ** 2) <= (13 * 1)
B. (Oil is a liquid at room temperature.) or ((Mars is the 4th planet from the Sun.) and ((2 ** 1) <= (5 ** 2)))
C. not ((The capital of Denmark is Santiago.) and ((1 * 7 - 1 * -8) >= (9 * 3 * -5 * 8)))
D. not (not not (Germany is in Europe.))
E. ((17 is ... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 18888920,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. (1 ** 2) <= (13 * 1)\nB. (Oil i... |
logic-v2 | 考虑以下布尔表达式：
A. ((-2 * -8 - -9 * 9) != (18 * -12)) or (铂的化学符号是Pt。)
B. (not (英国的货币是比索。)) or (not ((-15 - 5) >= (-15 + -1))) or (((-16 + -1) <= (3 ** 3)) or (((-3 + 0) > (2 * -8 - -3 * -6)) and (1932年奥运会在罗马举办。)))
C. (((电流比光速更快。) and ((1 - 8) < (9 + -9))) and ((82能被3整除。) and (酒精在常温下是液体。))) or ((((0 * -2 * 6 * -1) == (0 - 2... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 40855444,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. ((-2 * -8 - -9 * 9) != (18 * -12)) or (铂的化学符号是Pt。)\nB. (not ... |
logic-v2 | 给定以下布尔表达式：
A. ((((not ((4 + 7) != (10 * -8))) and ((2020年奥运会在东京举办。) or (水在海平面上的沸点是100摄氏度。))) or ((not (十二月有31天。)) or ((人类每只手有五个手指。) or (1928年奥运会在安特卫普举办。)))) or (((not ((12 + 16) < (24 % 8))) and ((火星是距离太阳第4近的行星。) and (1936年奥运会在莫斯科举办。))) or ((5 * 10 - 9 * -5) < (0 - 10)) or (not (尼日利亚的首都是巴黎。)))) and (not not (((not (人类... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 7715754,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((((not ((4 + 7) != (10 * -8))) and ((2020年奥运会在东京举办。) or (水在海平面... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 兔子是爬行动物。
B. (not (1976年奥运会在雅典举办。)) and (not not (人类首次登月发生在1969年。))
C. not (not (25的平方根是14。))
D. (not (19是完全平方数。)) or (((48 % 3) > (-13 - 5)) or ((-10 * -19) != (3 * 6)))
E. not (锰的化学符号是Sn。)
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": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 62393437,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 兔子是爬行动物。\nB. (not (1976年奥运会在雅典举办。)) and (not not (人类首次登月... |
logic-v2 | 评估以下每个表达式：
A. (((((1996年奥运会在亚特兰大举办。) and (磷的化学符号是S。)) or (2052年是闰年。)) and ((7 % 2) != (-6 + 13))) or (not not (not (not (莱特兄弟首次飞行发生在1903年。))))) or ((((not ((-16 - 3) > (-6 * 19))) and (not not ((1 * 6 * -9 * 5) != (6 + -16)))) and ((5 ** 1) <= (15 + -18))) and (((第一次世界大战开始发生在1914年。) and (金星是距离太阳第6近的行星。)) or ((1 ** 1) ... | {
"game_data": {
"answer": "A,D,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 66780034,
"true_count": 6
},
"question": "评估以下每个表达式：\n\nA. (((((1996年奥运会在亚特兰大举办。) and (磷的化学符号是S。)) or (2052年是闰年。)) ... |
logic-v2 | 考虑以下布尔表达式：
A. (-9 * 5 - 10 * -4) >= (-3 * 9 * 8 * 6)
B. (法国大革命开始发生在1789年。) and (二月有28天。)
C. not (((12 - -2) < (-14 - -11)) or (202是斐波那契数。))
D. ((第一次世界大战开始发生在1914年。) or (冰的密度比液态水小。)) or ((磷的化学符号是Cl。) or ((-1 * 0 - -10 * 4) > (5 * -5 + 8 * 2)))
E. ((837是斐波那契数。) or (1996年奥运会在慕尼黑举办。)) or (中国位于欧洲。)
F. ((35 % 9) <= (3 * -3 ... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 20918555,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. (-9 * 5 - 10 * -4) >= (-3 * 9 * 8 * 6)\nB. (法国大革命开始发生在1789... |
logic-v2 | Evaluate each expression below:
A. (not (The 1936 Olympics were held in Sydney.)) and (not (The capital of Finland is Helsinki.))
B. (((-8 + -14) != (19 + 6)) or (Nigeria is in Africa.)) and ((4 * -5) != (15 + 14))
C. (not not ((-19 + -8) != (5 + 5))) or ((8 * -3 + -6 * -9) == (-6 * 2 - 10 * 0))
D. not ((The currency ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 89498263,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (not (The 1936 Olympics were held in Sydney... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (not not ((-11 - 5) < (-6 * 10 + -10 * 3) < (-6 * 3)))
B. 企鹅能飞翔。
C. 太平洋是最大的海洋。
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": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 44173577,
"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 ((-11 - 5) < (-6 * 10 + -10 * 3) < (-6 * 3)... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((South Africa is in South America.) or (not not ((45 % 8) != (2 ** 3)))) or (not not (A chicken has 2 legs.))) and (not (((The first iPhone was released occurred in 2007.) and ((-8 * 4) == (5 - 10))) or (not not (Oxygen is a solid at room temperature.))))
B. (((7 - 5... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 79997718,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((South Africa is in Sout... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (The chemical symbol for Neon is Ne.)
B. not not (((The capital of Indonesia is Jakarta.) and (The 2008 Olympics were held in Amsterdam.)) and (A butterfly has 100 legs.))
C. (There are 31 days in July.) and ((The currency of China is the Yuan.) or ((9 * -5) > (3 *... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 89696314,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (The chemical symbol f... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not (not not (not (A elephant is a fish.)))) and ((The capital of Russia is Moscow.) or (not not ((-11 + 9) == (14 * 2))) or (not ((Ice is less dense than liquid water.) and ((12 * -5) >= (-13 * 14)))))
B. (not not ((The chemical symbol for Cobalt is Co.) and (not... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 66393190,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not (not not (not (A el... |
logic-v2 | 检验这些表达式：
A. ((not not ((-12 * 6) == (32 % 1))) or (1968年奥运会在墨西哥城举办。)) or (((((-16 - 12) != (-2 * 0 + -7 * 6)) and (水星是距离太阳第1近的行星。)) and ((2028年是闰年。) or ((-7 + 11) != (8 * -4 - 3 * -7)))) or (加拿大位于亚洲。) or (1927年是闰年。))
B. (not (not ((比利时的首都是北京。) and (2002年是闰年。)))) or (not ((蜜蜂是昆虫。) or (((48 % 5) < (-4 * -6 - 10 * -9)) a... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 30450128,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. ((not not ((-12 * 6) == (32 % 1))) or (1968年奥运会在墨西哥城举办。)) or (((((... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((not (((The currency of Japan is the Sol.) and (The 2012 Olympics were held in London.)) and (((26 % 10) <= (18 + 18)) and (53 is greater than 88.)))) or ((-15 * -13) <= (3 - -11) <= (-12 + 19)) or (((not not (Ice is less dense than ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 21425296,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Study the following logical statements:
A. (3 - 2) == (5 ** 1)
B. not not (The currency of New Zealand is the Dollar.)
C. The 2004 Olympics were held in Melbourne.
D. (Vietnam is in Europe.) and ((The currency of Turkey is the Peso.) or (270 is a perfect square.))
E. 98 is divisible by 3.
Which statements are true? P... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 57686475,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (3 - 2) == (5 ** 1)\nB. not not (The ... |
logic-v2 | 给定以下布尔表达式：
A. (-14 * 13) >= (16 + -10)
B. ((0 * 5 + 4 * 0) == (5 ** 3)) and (金枪鱼是鱼类。)
C. not (钻石在常温下是固体。)
D. not not (铜在常温下是固体。)
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": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 64735769,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (-14 * 13) >= (16 + -10)\nB. ((0 * 5 + 4 * 0) == (5 ** 3)) and (金枪... |
logic-v2 | Below are several boolean expressions:
A. ((Humans only use 10% of their brain.) and ((1 ** 3) < (-12 + -3) < (8 * -11))) and ((not not ((The chemical symbol for Sodium is Mg.) and (Venus is the 2nd planet from the Sun.))) and (((The currency of United Kingdom is the Pound.) and (Earth is the 8th planet from the Sun.)... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 31501488,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. ((Humans only use 10% of their brain.)... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((((25 % 1) == (-2 - 15)) and (((-10 * -2 - -7 * 9) < (6 * -6 - 6 * 7) < (14 % 9)) or (第一次世界大战结束发生在1928年。))) and (not (鸟有2条腿。)))
B. (((not ((8 + 18) < (-13 + -12) < (1 - -8))) or ((大象有4条腿。) and ((-1 + -20) == (0 - 17)))) or (((9 + -14) < (-17 + 11)) and ((-1 * -3 * 7 * 4) != (15 * -15)))) or (((7... | {
"game_data": {
"answer": "B,C,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 51600904,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not not ((((25 % 1) == (-2 - 15)) and (((-10 * -2 - -7 * 9) ... |
logic-v2 | Given the following boolean expressions:
A. ((not not ((1 - -20) == (-20 + 4))) or ((Silver is a solid at room temperature.) or ((1 ** 1) != (-10 - 6)))) or ((not ((5 * 4) == (5 + -2))) or (Sound cannot travel through a vacuum.))
B. not not ((The capital of Italy is Rome.) or ((The chemical symbol for Oxygen is Cu.) o... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 99504897,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. ((not not ((1 - -20) == (-20 +... |
logic-v2 | 研究以下逻辑语句：
A. not not (((((13 * -9) >= (5 * -4 + 0 * -9)) and (新西兰位于大洋洲。)) and ((罗马尼亚的首都是布加勒斯特。) and (钻石在常温下是固体。))) and ((加拿大位于大洋洲。) or ((柏林墙倒塌发生在1999年。) and ((-3 * 11) == (3 ** 2)))))
B. ((((-13 * 9) < (14 * -7)) or (not not ((-6 + 15) > (1 - 0)))) and ((((-16 * 1) != (-10 * 1 * 9 * 2)) and ((12 - -16) != (-1 * -2 * -... | {
"game_data": {
"answer": "B,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 16833780,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. not not (((((13 * -9) >= (5 * -4 + 0 * -9)) and (新西兰位于大洋洲。)) ... |
logic-v2 | 检验这些表达式：
A. 苏联解体发生在1993年。
B. 光速约为每秒30万公里。
C. ((5 ** 1) < (31 % 7) < (1 + 9)) and ((水星是距离太阳第1近的行星。) and (青蛙有4条腿。))
哪些是真的？在 \boxed{} 中列出所有为真选项的标识，用逗号分隔。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 8121094,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. 苏联解体发生在1993年。\nB. 光速约为每秒30万公里。\nC. ((5 ** 1) < (31 % 7) < (1 + 9)) an... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((4 ** 2) < (15 + 5) < (-9 * -16)) and (not (The chemical symbol for Tin is N.))
B. (not (The chemical symbol for Gold is Au.)) or (Water is a liquid at room temperature.)
C. ((Steam is a liquid at room temperature.) or ((-16 * -13) != (6 - 7))) and (((4 * -1 * 8 * 10)... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 66548420,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((4 ** 2) < (15 + 5) < (... |
logic-v2 | 下面是几个布尔表达式：
A. (((not (248是完全平方数。)) and ((瑞士的首都是雅典。) and ((8 - -19) == (-7 * 6 - -1 * 1)))) and (声音在真空中传播更快。)) or ((((中国位于亚洲。) and (水星是距离太阳第5近的行星。)) or ((11 % 9) > (-13 + -1))) or ((龙虾有10条腿。) or ((-19 + -14) <= (14 + 5) <= (-7 * 7 - 5 * 8))) or (((鲸鱼是鱼类。) and (蜘蛛是昆虫。)) and (水在常温下是液体。)))
B. (not (智利的首都是圣地亚哥。)) or ((葡萄牙... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 24309993,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (((not (248是完全平方数。)) and ((瑞士的首都是雅典。) and ((8 - -19) == (-7 * 6... |
logic-v2 | 研究以下逻辑语句：
A. not ((not not (not (美国位于北美洲。))) and (not not (((not not (沙特阿拉伯位于非洲。)) or ((-16 + -6) < (16 * 16) < (-6 * -9))) and ((not not (1924年奥运会在墨西哥城举办。)) and (第二次世界大战开始发生在1939年。)))))
B. not not (not (not (((((35 % 9) >= (-18 * 3)) and (1896年奥运会在里约热内卢举办。)) or (not (澳大利亚的货币是比索。))) and (澳大利亚位于大洋洲。))))
C. not (not not... | {
"game_data": {
"answer": "A,B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 2898918,
"true_count": 7
},
"question": "研究以下逻辑语句：\n\nA. not ((not not (not (美国位于北美洲。))) and (not not (((not not ... |
logic-v2 | Examine these expressions:
A. not (The first moon landing occurred in 1969.)
B. 185 is a perfect square.
C. United Kingdom is in Europe.
D. not (((2 ** 3) < (35 % 7) < (1 ** 3)) and (The 1948 Olympics were held in London.))
Which ones are true? List the labels of all true options in \boxed{}, separated by commas. | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 38815430,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not (The first moon landing occurred in 1969.)\n... |
logic-v2 | Given the following boolean expressions:
A. The currency of China is the Forint.
B. (not (The 1904 Olympics were held in St. Louis.)) and ((4 * 1) > (2 - -18))
C. The Earth revolves around the Sun.
Select all that evaluate to True. Put your answer in \boxed{} as comma-separated labels. | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 64967433,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. The currency of China is the Forint.... |
logic-v2 | Consider the following logical expressions:
A. (((-4 * -20) < (-1 - 8)) or ((Earth is the 3rd planet from the Sun.) and (Morocco is in Africa.))) or ((((18 - -12) != (24 % 1)) or (Mars is the 4th planet from the Sun.)) and (The capital of Norway is Brasilia.))
B. ((not (The chemical symbol for Neon is Si.)) or ((The c... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 76152112,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (((-4 * -20) < (-1 - 8)) or (... |
logic-v2 | 下面是几个布尔表达式：
A. (0 * -10 - -1 * 8) < (1 + 6)
B. ((6 - -15) <= (-2 * -10) <= (2 - 1)) or (火星是距离太阳第6近的行星。)
C. ((六月有30天。) or (128是完全平方数。)) and (泰国位于亚洲。)
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": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 83754723,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (0 * -10 - -1 * 8) < (1 + 6)\nB. ((6 - -15) <= (-2 * -10) <= (2 -... |
logic-v2 | 审视以下逻辑表达式：
A. ((((not not ((-9 * 4 - -6 * -1) == (11 + 19))) and ((金鱼是鱼类。) or (木星是距离太阳第2近的行星。))) and (空气在常温下是气体。)) and (((-5 * 17) >= (3 - 11)) and (菲律宾的首都是莫斯科。))) or (((((瑞士的首都是伯尔尼。) and ((-7 - 13) != (9 * -3 - 6 * -3))) or (not ((44 % 10) != (-6 * 3)))) and ((地球是距离太阳第3近的行星。) or (((14 + -10) <= (-5 * 3 * -2 * 8) <= (... | {
"game_data": {
"answer": "B,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 9737269,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((((not not ((-9 * 4 - -6 * -1) == (11 + 19))) and ((金鱼是鱼类。) or... |
logic-v2 | 评估以下每个表达式：
A. not ((九月有30天。) and (not ((氮的化学符号是U。) or ((-1 * 19) != (4 - -19)))))
B. not ((((2012年奥运会在伦敦举办。) and (1905年是闰年。)) or ((-1 * -3) >= (2 * 9 * 0 * -2))) or (not (铜在常温下是固体。)) or ((2012年是闰年。) or (((-5 * -5) < (18 - 16)) or ((-3 - -5) <= (3 ** 3) <= (15 * 16)))))
C. (((越南位于亚洲。) and (((13 % 9) == (15 - -15)) or (... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 11034794,
"true_count": 5
},
"question": "评估以下每个表达式：\n\nA. not ((九月有30天。) and (not ((氮的化学符号是U。) or ((-1 * 19) != (4 -... |
logic-v2 | 评估以下每个表达式：
A. ((企鹅是哺乳动物。) or (金在常温下是固体。)) or (not ((2 ** 3) == (3 * 17)))
B. (6 - 0) == (-3 - -17)
C. (((3 * -17) <= (-20 + 4)) and ((8 * -2 * 6 * -9) > (42 % 1))) and ((泰国的首都是马德里。) and (土星是距离太阳第5近的行星。))
D. (((5 + -2) != (-7 + 11)) or ((1 - -1) <= (-2 + 5) <= (-7 + -8))) and (not not ((0 * 9 - -6 * 6) == (9 % 3)))
E. ... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 20245373,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. ((企鹅是哺乳动物。) or (金在常温下是固体。)) or (not ((2 ** 3) == (3 * 17)))\nB. ... |
logic-v2 | 考虑以下布尔表达式：
A. (((越南位于亚洲。) and (俄罗斯的首都是赫尔辛基。)) or ((-8 * 4 - -10 * -9) != (10 * 8 * -1 * 8))) or (((-8 * 0 * 8 * -3) > (-2 * 0 - -2 * -1)) or (not ((菲律宾的首都是马尼拉。) or (乌鸦是鸟类。))))
B. not not (not not (((0 - 3) < (-8 - -14)) and ((新西兰位于大洋洲。) or ((47 % 2) != (2 * -6 * -1 * -5)))))
C. not not ((not ((挪威的货币是林吉特。) or ((9 % 9) ... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 87117180,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (((越南位于亚洲。) and (俄罗斯的首都是赫尔辛基。)) or ((-8 * 4 - -10 * -9) != (10... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((肯尼亚位于大洋洲。) and (木星是距离太阳第5近的行星。)) or ((5 ** 1) > (7 + 14))) and ((金在常温下是固体。) and ((2 - 8) <= (-2 * -1 + 6 * -8))) and (not not (俄罗斯位于亚洲。))) and (((铜在常温下是固体。) and (((-13 - -7) < (16 % 4) < (14 - -16)) and ((7 * -7 * -1 * -9) > (17 + -13)))) and (土耳其的货币是里拉。))
B. (not not ((-4 * -2 * -7 * 4) <... | {
"game_data": {
"answer": "C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 79167346,
"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. ((((肯尼亚位于大洋洲。) and (木星是距离太阳第5近的行星。)) or ((5 ** 1) > (... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((((The capital of South Korea is Seoul.) or (There are 30 days in September.)) and ((The capital of Vietnam is Brasilia.) or ((42 % 3) < (0 * -18)))) and (((Sound travels faster in a vacuum.) and (The chemical symbol for Nitrogen is N.)) and (not ((9 * 8 * 3 * -1) > (... | {
"game_data": {
"answer": "B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 31610045,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((((The capital of South Kor... |
logic-v2 | 考虑以下布尔表达式：
A. not ((not not ((四月有31天。) or ((11 + -3) < (-1 * 9 * 4 * 8)))) or (((not ((莱特兄弟首次飞行发生在1903年。) or (铝的化学符号是Au。))) or ((48 % 3) < (4 ** 3)) or (一月有28天。)) and ((((-9 * 4 + -1 * 9) < (10 + -20)) or ((第一次世界大战结束发生在1913年。) or (1908年奥运会在伦敦举办。))) or (not ((伦敦大火发生在1666年。) or ((8 + 17) <= (-5 * 10 + -9 * -3)))))))
B. ... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 71589143,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not ((not not ((四月有31天。) or ((11 + -3) < (-1 * 9 * 4 * 8)))) or ((... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((19 + -2) == (5 ** 1)) or ((-6 * -5 + -6 * -7) < (8 * -7 - -9 * -3))
B. ((-15 * -16) > (-10 - 7)) or (not ((1 ** 2) != (-10 * -9 - 2 * 6)))
C. not ((not ((13 - 15) == (-16 + -16))) and ((A chameleon is a reptile.) and ((-6 * -4 - 4 * 10)... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 94357511,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Consider the following logical expressions:
A. (-1 * 4) == (6 * 10 * -1 * -7)
B. (68 is greater than 81.) or (((-15 + -6) >= (-2 * -17)) or ((-1 * 0 + -6 * -1) >= (4 * 11)))
C. (1972 is a leap year.) and (not not (Copper is a liquid at room temperature.))
D. not ((-9 + 15) <= (30 % 10))
Determine which expressions ar... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 37938477,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. (-1 * 4) == (6 * 10 * -1 * -7)\nB... |
logic-v2 | 考虑以下布尔表达式：
A. not (not not (not ((-12 + -2) == (-4 * -5 - -1 * 7))))
B. 月球绕地球运转。
C. ((not (氮气在常温下是气体。)) or (((沙特阿拉伯位于北美洲。) or (哥伦布到达美洲发生在1490年。)) or (((20 + -7) >= (6 * -3 + -9 * -5)) or (2047年是闰年。)))) and ((((钻石在常温下是气体。) or (六月有29天。)) and (not ((6 * 8 + 9 * 8) > (46 % 4)))) and ((4 + 0) > (8 * 19)))
哪些表达式的值为 True？请在... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 71527527,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not (not not (not ((-12 + -2) == (-4 * -5 - -1 * 7))))\nB. 月球绕地球运转... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (20 - -14) > (6 - 12)
B. not ((-7 * -17) == (6 * -1))
C. ((The capital of Canada is Ottawa.) and (Humans only use 10% of their brain.)) and ((The chemical symbol for Tin is Fe.) or (A fish has 0 legs.))
D. (not not (Electricity flows faster than light.)) or (((-5 * 3) ... | {
"game_data": {
"answer": "A,B,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 45114067,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (20 - -14) > (6 - 12)\nB... |
logic-v2 | Given the following boolean expressions:
A. not not ((A peacock is an insect.) or ((11 - -9) <= (17 * -4) <= (2 ** 3)))
B. 785 is a Fibonacci number.
C. There are 31 days in August.
D. (There are 28 days in May.) and (Jupiter is the 5th planet from the Sun.)
E. (The currency of Czech Republic is the Koruna.) and (((-1... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 40647718,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not not ((A peacock is an insect... |
logic-v2 | 审视以下逻辑表达式：
A. not not ((镁的化学符号是Mg。) or (81能被11整除。))
B. ((土星是距离太阳第6近的行星。) and (18小于等于68。)) and (2000年奥运会在悉尼举办。)
C. (13能被7整除。) and ((秘鲁位于南美洲。) or (2055年是闰年。))
D. ((1973年是闰年。) and (英国位于欧洲。)) and (((8 * 9 * 6 * -9) > (-18 - 0)) and ((-20 * 1) != (4 * 8 - -8 * 4)))
E. not not (not (植物通过光合作用产生氧气。))
哪些表达式为真？在 \boxed{} 中用逗号分... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 24312450,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not not ((镁的化学符号是Mg。) or (81能被11整除。))\nB. ((土星是距离太阳第6近的行星。) and ... |
logic-v2 | Consider the following logical expressions:
A. (1 ** 2) < (1 * 1 + 6 * 8) < (11 - 0)
B. (((5 ** 3) <= (-3 + -13)) and (China is in Africa.)) and (((4 ** 3) != (11 * -1)) and (The United States declared independence occurred in 1776.))
C. (not (Russia is in Oceania.)) or ((49 % 4) == (3 ** 2))
D. not not ((The 2012 Oly... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 60135249,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (1 ** 2) < (1 * 1 + 6 * 8) < (1... |
logic-v2 | 分析以下逻辑表达式：
A. 铁的化学符号是Fe。
B. ((675是斐波那契数。) and ((-20 - 2) < (9 + 15) < (9 + -4))) or (1940年是闰年。)
C. not (not (三月有31天。))
D. (((5 ** 2) <= (-8 * 8 - -7 * 8)) or (1992年奥运会在伦敦举办。)) and (not ((-2 * -14) < (5 * -1 - -10 * 7) < (37 % 7)))
E. 秘鲁的货币是索尔。
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,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 87712446,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. 铁的化学符号是Fe。\nB. ((675是斐波那契数。) and ((-20 - 2) < (9 + 15) < (9 ... |
logic-v2 | 给定以下布尔表达式：
A. not not ((海王星是距离太阳第2近的行星。) and ((33 % 3) <= (-9 - 4)))
B. not not (not not ((氧气在常温下是气体。) and (2098年是闰年。)))
C. ((-13 * 1) >= (-1 * 0 * -5 * 7)) or ((-12 + 7) <= (-11 - 1)) or (not not (((43 % 8) != (3 * 5 * 9 * -8)) and (波兰的货币是兹罗提。)))
D. ((not ((17 - -3) != (2 ** 1))) and ((鸡有0条腿。) and ((1 * 10 - 5 * -10)... | {
"game_data": {
"answer": "C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 94383341,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. not not ((海王星是距离太阳第2近的行星。) and ((33 % 3) <= (-9 - 4)))\nB. not... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (((0 * 18) <= (0 + -18)) or (not ((Silver is a solid at room temperature.) and (Japan is in North America.))))
B. not not (((The capital of New Zealand is Athens.) and ((The currency of Indonesia is the Dollar.) and (The chemical symb... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 94364764,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 给定以下布尔表达式：
A. (((6 * 2 + 3 * 0) == (43 % 4)) and ((3 * 2) <= (13 + 4))) or ((-4 - -14) < (-1 * -5 - -8 * 6) < (1 * -2 + -4 * -5))
B. (1 * 5 - 1 * 0) >= (9 * 8 - 0 * -5)
C. (((-6 + 17) < (-8 * -6)) and ((5 ** 1) < (11 % 2))) and (not ((4 ** 1) >= (10 + -12)))
D. (not (氯的化学符号是Cl。)) and (not not ((-4 - 16) == (-13 - 5)))... | {
"game_data": {
"answer": "F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 64260783,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (((6 * 2 + 3 * 0) == (43 % 4)) and ((3 * 2) <= (13 + 4))) or ((-... |
logic-v2 | 审视以下逻辑表达式：
A. not ((not (not not (not not ((-9 + 9) == (12 - -14))))) or (93能被9整除。) or (not not ((((3 + -19) > (10 * 6 * 2 * -1)) and ((-20 - 6) != (-10 * -2))) or (not (匈牙利的货币是索尔。)))))
B. not ((not not ((not ((-5 * -4 * -5 * 6) <= (-14 + -11) <= (-15 - -8))) and (((5 * 0 - -1 * -10) > (4 * -12)) or ((18 * -18) != (16... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 55701809,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. not ((not (not not (not not ((-9 + 9) == (12 - -14))))) or (93... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 1996年奥运会在亚特兰大举办。
B. (美国宣布独立发生在1776年。) or ((加拿大位于北美洲。) and (189是偶数。))
C. (1984年奥运会在慕尼黑举办。) and ((西班牙的首都是加拉加斯。) and (1998年是闰年。))
D. (3 * 9 + 0 * 3) >= (1 - 12)
E. 新加坡的货币是新西兰元。
F. not not ((印度的首都是伯尔尼。) or (144的平方根是12。))
G. not (((20 - 8) == (0 * -5 * 7 * -2)) or (第二次世界大战结束发生在1945年。))
找出所有为 True 的表达式。... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 99162913,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 1996年奥运会在亚特兰大举办。\nB. (美国宣布独立发生在1776年。) or ((加拿大位于北美洲。)... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not ((not not ((not not (The Berlin Wall fell occurred in 1989.)) and (((-5 + 20) > (4 * 10 * -8 * -4)) and ((8 * 4) >= (17 * 20))))) or ((not (World War I began occurred in 1914.)) and (not ((6 + -15) < (9 * 10 - -6 * 2))) and ((((5 + -5) <= (8 * 4 + 1 * -7) <= (-18 ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 99304693,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not ((not not ((not not (... |
logic-v2 | Examine these expressions:
A. not not ((((13 + -5) == (14 - 7)) and (47 is a prime number.)) and (((4 ** 1) >= (-20 * -15)) and (The currency of Poland is the Krona.)))
B. not not (((The chemical symbol for Calcium is Fe.) or ((42 % 6) > (-3 * -3 - 1 * -1))) and (not not (Ice is a solid at room temperature.)))
C. not ... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 27553211,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not ((((13 + -5) == (14 - 7)) and (47 is a... |
logic-v2 | Review these logical expressions:
A. ((((The currency of Denmark is the Krone.) and (The 2000 Olympics were held in Sydney.)) and ((France is in Asia.) and ((3 - -5) >= (-18 - 13)))) or ((-2 + 2) >= (9 * -1 * -2 * 6))) or ((not not (((-11 + -6) != (-8 * 1 + -10 * -6)) and (The capital of Argentina is Buenos Aires.))) ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 7420449,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. ((((The currency of Denmark is the Krone.) a... |
logic-v2 | 审视以下逻辑表达式：
A. ((木头在常温下是固体。) and (地球是距离太阳第3近的行星。)) or (((-6 - 8) > (-10 * 3)) and ((-13 - 2) >= (-13 + -20)))
B. (((16 + 14) != (2 % 6)) and (木头在常温下是固体。)) and (((8 % 6) <= (44 % 9)) and (莱特兄弟首次飞行发生在1903年。))
C. (酒精在常温下是液体。) and ((银在常温下是固体。) and ((-14 * 0) <= (-8 * 6 + 10 * 10)))
D. (-11 - 16) <= (11 + -6)
E. not not ((电... | {
"game_data": {
"answer": "A,B,C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 41402234,
"true_count": 7
},
"question": "审视以下逻辑表达式：\n\nA. ((木头在常温下是固体。) and (地球是距离太阳第3近的行星。)) or (((-6 - 8) > (-... |
logic-v2 | Evaluate each expression below:
A. (not (((48 % 9) <= (1 % 10)) and ((The chemical symbol for Chromium is Cr.) or ((18 + 14) < (40 % 2) < (1 ** 2))) and ((((3 ** 1) > (-11 * -10)) or ((-12 + 7) < (37 % 1))) or ((A day on Earth is 24 hours.) or ((3 ** 1) < (-4 - -16)))))) and ((not (((13 % 6) < (-8 * -8 - -4 * 0)) and ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 50856077,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. (not (((48 % 9) <= (1 % 10)) and ((The chemic... |
logic-v2 | Evaluate each expression below:
A. (((not not (not not ((39 % 8) <= (4 ** 3)))) or ((((-10 - 3) >= (13 % 3)) and ((4 ** 1) >= (-16 * 3))) or (((-9 * -9) == (-5 * -10 + 8 * 4)) and (Uranus is the 7th planet from the Sun.)))) and ((not not (((10 * 10 + 1 * -5) < (9 * -3 - -8 * 6) < (-6 * -8 * 0 * -1)) and ((4 + -15) > (... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 33607444,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. (((not not (not not ((39 % 8) <= (4 ** 3)))) ... |
logic-v2 | Below are several boolean expressions:
A. not (not (((1938 is a leap year.) and (2045 is a leap year.)) and (not (The chemical symbol for Uranium is U.))))
B. not ((((24 % 10) < (9 + 5) < (-14 + -10)) or (((1 * 1 + 3 * 9) >= (1 ** 2)) and ((-18 + -17) <= (5 * 2 + 3 * 5)))) or ((-7 + -5) <= (14 + -4)))
C. ((not not ((M... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 42099340,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not (not (((1938 is a leap year.) and ... |
logic-v2 | Evaluate each expression below:
A. not (((not not ((Wood is a solid at room temperature.) and (2047 is a leap year.))) and ((not not ((4 * 3 * 4 * -6) <= (4 ** 1))) or (not not ((-20 - 10) <= (46 % 8))))) or (((-18 - 2) != (-20 + -17)) or (not (((10 - -16) < (2 ** 3)) or (The first moon landing occurred in 1969.)))))
... | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 80923104,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not (((not not ((Wood is a solid at room te... |
logic-v2 | Study the following logical statements:
A. not ((((4 - -8) < (3 ** 3)) and ((-5 * -1) == (2 ** 1))) and ((Helium is a solid at room temperature.) or ((25 % 2) <= (2 ** 3) <= (3 * -7 + -8 * -3))))
B. (((The capital of Saudi Arabia is Riyadh.) and ((6 * -10) > (10 + 20))) or ((63 is an even number.) and ((-7 * 10 - 6 * ... | {
"game_data": {
"answer": "A,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 69459037,
"true_count": 5
},
"question": "Study the following logical statements:\n\nA. not ((((4 - -8) < (3 ** 3)) a... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (The 1988 Olympics were held in Mexico City.)
B. (((7 + -2) == (-5 - -9)) and ((-3 * 9 - -2 * -9) <= (-1 + -5) <= (-6 * -7))) or (2006 is a leap year.)
C. (The chemical symbol for Copper is Cu.) or (not (Humans have five fingers on each hand.))
D. (((15 - 4) <= (-1... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 20409677,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (The 1988 Olympics were ... |
logic-v2 | Consider the following logical expressions:
A. ((2021 is a leap year.) or (((43 % 5) == (-2 * 10 - -1 * -5)) and (The chemical symbol for Gold is Au.)) or (((Neptune is the 2nd planet from the Sun.) or (Oil is a liquid at room temperature.)) and (Whales are fish.))) and (((not ((6 * -9 + -4 * -8) <= (-2 - 0))) or (not... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 97499586,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. ((2021 is a leap year.) or (((43 ... |
logic-v2 | Given the following boolean expressions:
A. ((not ((3 ** 1) != (-12 + 14))) and ((A horse is a mammal.) or ((10 - 10) <= (-2 * 8 - 2 * 1)))) or ((-5 * 2) <= (11 - 18) <= (-5 - -5))
B. (((10 * -4 - 1 * 9) < (0 * 17) < (15 * 19)) and ((A ostrich is a reptile.) and (The 1972 Olympics were held in Munich.))) or ((((7 + 7)... | {
"game_data": {
"answer": "A,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 38411966,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. ((not ((3 ** 1) != (-12 + 14))) ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (((麻雀是爬行动物。) and (现代奥运会首届举办发生在1895年。)) and (not ((-3 + -3) == (19 + 11))))
B. (not not (((4 * 8 * 7 * -2) < (19 - -15) < (6 * 7 * 0 * -6)) and (俄罗斯的货币是卢布。))) and ((-2 + -16) <= (18 * -3) <= (-7 + 11))
C. (not not ((2 ** 2) < (9 * 5 - -7 * 5))) or ((水星是距离太阳第6近的行星。) and (鲱鱼是爬行动物。))
D. ((1932年... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 31243728,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (((麻雀是爬行动物。) and (现代奥运会首届举办发生在1895年。)) and (not ... |
logic-v2 | Given the following boolean expressions:
A. (not not ((((7 * 10 * 6 * -7) <= (16 + 13) <= (2 * 6)) and ((2 ** 2) >= (3 % 8))) and (((5 ** 3) >= (-1 * 18)) and ((0 + -20) < (30 % 6) < (-20 - -9))))) and ((18 - 2) != (-15 - 16)) and ((not not ((The currency of Vietnam is the Pound.) and (88 is divisible by 6.))) and (Th... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 25414197,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (not not ((((7 * 10 * 6 * -7) <=... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 壁虎是鱼类。
B. (十二月有28天。) or ((苏联解体发生在1989年。) or ((40 % 5) != (3 ** 3)))
C. ((金星是距离太阳第2近的行星。) or ((20 - -7) > (4 * -2 + 4 * -10))) or ((鲸鱼是鱼类。) or (1980年奥运会在莫斯科举办。))
D. not not (25的平方根是9。)
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": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 92801403,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 壁虎是鱼类。\nB. (十二月有28天。) or ((苏联解体发生在1989年。) or ((40 % 5) != ... |
logic-v2 | Below are several boolean expressions:
A. not ((not not ((not not (Oil is a solid at room temperature.)) and (not not (not (The 1896 Olympics were held in Athens.))))) and (not (((6 * -6 + -6 * 9) < (-11 + 12)) and ((-7 * 6 - -6 * 8) < (7 * 2)))))
B. not not ((not (((Thailand is in Asia.) or ((The currency of Australi... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 26657163,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not ((not not ((not not (Oil is ... |
logic-v2 | 分析以下逻辑表达式：
A. (not ((not (((12 * -19) > (-6 * -13)) and (第一次世界大战结束发生在1918年。))) and (天王星是距离太阳第7近的行星。))) or (((((38 % 3) < (6 % 8)) and ((15 * 1) < (19 + -8))) or ((哥伦比亚的货币是里拉。) and (氧气在常温下是气体。))) or (not (俄罗斯的首都是莫斯科。)) or ((7 - -6) >= (15 + -19))) or (((鱼有0条腿。) and (((氧气在常温下是液体。) or (新加坡的首都是新加坡。)) and ((43 % 3) >= (-20... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 13725464,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (not ((not (((12 * -19) > (-6 * -13)) and (第一次世界大战结束发生在1918年。))) a... |
logic-v2 | 研究以下逻辑语句：
A. not ((哥伦布到达美洲发生在1491年。) or (欧盟的货币是欧元。))
B. not not (not (意大利的首都是加拉加斯。))
C. (not ((土星是距离太阳第6近的行星。) and (((-1 * 3) == (19 * -1)) or ((5 - -13) == (-4 + -2))))) or (not (not not (((-13 * -13) >= (2 ** 1)) and (泰国的首都是曼谷。))))
D. ((((3 * 0) <= (-5 * 6 * -8 * -1) <= (17 - -19)) or (1904年奥运会在圣路易斯举办。)) or (1967年是闰... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 27554254,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. not ((哥伦布到达美洲发生在1491年。) or (欧盟的货币是欧元。))\nB. not not (not (意大利的首... |
logic-v2 | 评估以下每个表达式：
A. not not (((not not (not (not ((1 - 19) <= (7 * 20))))) and (not ((钾的化学符号是Ca。) and (肯尼亚位于非洲。))) and (((韩国位于亚洲。) and (not ((-3 * -7 * 6 * 2) < (3 - -15)))) or (((欧盟的货币是瑞士法郎。) and ((3 ** 2) >= (-20 + 15))) and ((镁的化学符号是Zn。) and ((14 * 6) <= (2 ** 1) <= (5 * 18)))))) or ((not (韩国的货币是韩元。)) and ((-5 * -10) <= ... | {
"game_data": {
"answer": "A,B,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 51746719,
"true_count": 5
},
"question": "评估以下每个表达式：\n\nA. not not (((not not (not (not ((1 - 19) <= (7 * 20))))) and... |
logic-v2 | 评估以下每个表达式：
A. not not (((33 % 1) != (-8 * 9 + -6 * 7)) and ((6 % 4) < (-9 + -19)))
B. (not not (九月有30天。)) or (not not ((19 + 0) == (27 % 8)))
C. (((18 - -4) == (2 ** 3)) or ((0 * -3) != (-3 * -18))) or (not not (1968年奥运会在墨西哥城举办。))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 64524591,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not not (((33 % 1) != (-8 * 9 + -6 * 7)) and ((6 % 4) < (-9 + -1... |
logic-v2 | 检验这些表达式：
A. (1908年奥运会在斯德哥尔摩举办。) or (((0 + 9) <= (20 + 11)) or ((沙特阿拉伯的货币是里亚尔。) and (七月有31天。)))
B. not not (not (氯的化学符号是Cl。))
C. not not (not not (((14 + -19) < (3 ** 2) < (4 ** 2)) or (83能被2整除。)))
D. (((爱尔兰的首都是阿姆斯特丹。) or ((5 - -6) >= (2 - 2))) and (not (日本的货币是日元。))) and ((not not (牛有4条腿。)) or (((-15 + 8) <= (4 * 17)) ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 28167265,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (1908年奥运会在斯德哥尔摩举办。) or (((0 + 9) <= (20 + 11)) or ((沙特阿拉伯的货币是里亚尔。)... |
logic-v2 | 检验这些表达式：
A. (not not (((((十一月有29天。) and (716是斐波那契数。)) or ((九月有30天。) and (新加坡的首都是新加坡。))) and ((4 ** 3) >= (16 * 12))) and (not (水星是距离太阳第3近的行星。)))) or (not not (((not (((-2 * 9 - 9 * -3) > (-8 * -8 - -9 * -5)) and (1小于等于15。))) or ((-8 * -8 + 8 * -3) > (-1 - 7))) or ((蜘蛛是昆虫。) or ((-6 * -4 * -7 * 3) <= (-1 - 5)) or ((((-5... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 64363306,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. (not not (((((十一月有29天。) and (716是斐波那契数。)) or ((九月有30天。) and (新... |
logic-v2 | 评估以下每个表达式：
A. not (not not (not not ((not (not (肯尼亚的首都是巴黎。))) and (not (1952年奥运会在巴黎举办。)))))
B. not not (not (((not ((4 ** 3) <= (10 - 8) <= (11 + -19))) or ((1951年是闰年。) and (冰在常温下是液体。)) or (not (欧盟的货币是泰铢。))) or ((短吻鳄是爬行动物。) or (not not (袋鼠是爬行动物。)) or ((((34 % 9) != (4 * 3 * -6 * 8)) or (二月有28天。)) or (中国长城是在一年内建成的。))))... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 66705334,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not (not not (not not ((not (not (肯尼亚的首都是巴黎。))) and (not (1952年奥运会... |
logic-v2 | 考虑以下布尔表达式：
A. not ((((not (((9 * 14) >= (-1 * 2)) or ((20 * 16) != (8 * 3 * -4 * -8)))) and ((((1 * 6 * -9 * 2) <= (4 + 0)) or ((-10 + -8) > (3 + 1))) and (水在常温下是液体。))) and ((not ((208是完全平方数。) and ((8 % 6) < (1 ** 2)))) and ((墨西哥的货币是比索。) and (((-6 * -20) != (1 ** 2)) and ((-3 * -6 * -9 * -5) >= (3 + -14)))))) or (not ... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 94780599,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not ((((not (((9 * 14) >= (-1 * 2)) or ((20 * 16) != (8 * 3 * -4... |
logic-v2 | Analyze these boolean expressions:
A. (((54 is divisible by 6.) or (The 2008 Olympics were held in Beijing.)) and (not not (((62 is a prime number.) and (The capital of Romania is Kuala Lumpur.)) or ((14 % 7) != (-3 + 20))))) or (((not (((3 ** 3) <= (15 % 9) <= (2 * -5 - 2 * 1)) or ((-19 + -10) < (1 * -3 - 5 * 1)))) a... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 73275950,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (((54 is divisible by 6.) or (The 2008 O... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not (((((美国的货币是福林。) or ((8 - -18) < (10 + -7))) or (not not (七月有31天。))) and (((油在常温下是液体。) and (德国的首都是柏林。)) and (not ((10 * -10 - 3 * -10) == (18 * 4))))) and (not not ((((-5 * -1 + 1 * -7) <= (3 ** 1) <= (2 % 5)) or (土星是距离太阳第6近的行星。)) and (墨西哥的首都是墨西哥城。))))
B. (not not (((not (三月有30天。)) and ... | {
"game_data": {
"answer": "A,B,C,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 84842472,
"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. not not (((((美国的货币是福林。) or ((8 - -18) < (10 + -7)... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not ((((Nigeria is in Antarctica.) and ((-6 + -3) != (9 - 8))) and ((Whales are fish.) or (The human body has 206 bones.))) and (not not ((56 is divisible by 12.) or ((-7 + -15) >= (6 * -9 - 6 * 9)))))) or (((-2 * 4 - -3 * 9) <= (-7 * -8 + 2 * 4)) or ((-15 - 1) >=... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 88099351,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not ((((Nigeria is in A... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. The Moon produces its own light.
B. (The Moon orbits the Earth.) and ((-9 * 6 * -2 * -6) > (19 + -20))
C. (not ((1 ** 3) <= (12 + 18) <= (-7 + 1))) and (A chicken is a fish.)
D. (1 ** 1) > (-9 + -20)
E. ((44 is a prime number.) and (The c... | {
"game_data": {
"answer": "D,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 5875258,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are true... |
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