env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 研究以下逻辑语句：
A. (((((-3 - -19) >= (-6 * -5 * 10 * -7)) and (海王星是距离太阳第8近的行星。)) and (((-3 * 14) >= (-1 + -15)) or ((4 + 0) == (8 + -8)))) and (not not ((地球是距离太阳第2近的行星。) and (海王星是距离太阳第8近的行星。)))) and (((硫的化学符号是S。) or ((15 + -3) < (4 ** 1))) or ((十一月有28天。) or (1976年奥运会在蒙特利尔举办。))) and ((((铜在常温下是液体。) or (欧盟的货币是欧元。)) or ((-5 * 8... | {
"game_data": {
"answer": "C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 71775212,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (((((-3 - -19) >= (-6 * -5 * 10 * -7)) and (海王星是距离太阳第8近的行星。)) a... |
logic-v2 | 给定以下布尔表达式：
A. (氧气在常温下是固体。) or (木星是距离太阳第5近的行星。)
B. (中国的货币是人民币。) or (((18 - -16) < (6 * -7 * 9 * 10) < (5 * 0 + 7 * -9)) or ((18 * -14) < (6 % 10))) or ((not (尼日利亚的货币是林吉特。)) and (not ((-4 * -18) < (2 ** 2))))
C. (((加拿大的货币是克朗。) or ((30 % 7) >= (-17 - -6))) and (((4 ** 3) > (-12 - 3)) or ((3 * -11) < (9 - 11) < (7 * 18)))... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 86431850,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. (氧气在常温下是固体。) or (木星是距离太阳第5近的行星。)\nB. (中国的货币是人民币。) or (((18 - -... |
logic-v2 | Evaluate each expression below:
A. not not (The chemical symbol for Calcium is Ca.)
B. ((A swan is a bird.) or ((Nigeria is in Asia.) and ((1 ** 2) < (3 * -10 * -1 * -10)))) or ((Nigeria is in Africa.) and (((6 * 13) > (-20 + 5)) and (France is in Africa.)))
C. ((((5 - 1) <= (4 + -2)) and (1945 is a leap year.)) or (n... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 73495238,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not not (The chemical symbol for Calciu... |
logic-v2 | 考虑以下布尔表达式：
A. not (not (((28 % 2) != (-4 * 6 * 4 * -10)) and (1979年是闰年。)))
B. (((铅的化学符号是N。) and (埃及位于非洲。)) or (((2 - 18) <= (8 * 9 * 7 * -2)) and (1920年奥运会在柏林举办。))) or ((氮气在常温下是气体。) or (沙特阿拉伯的货币是里亚尔。)) or (老虎是哺乳动物。)
C. ((((-8 * 2 - -9 * 4) != (-4 - -18)) and (60小于等于76。)) and ((-6 * -4 + 5 * 8) < (5 * 18) < (-7 + 9))) ... | {
"game_data": {
"answer": "B,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 87275641,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. not (not (((28 % 2) != (-4 * 6 * 4 * -10)) and (1979年是闰年。)))... |
logic-v2 | 审视以下逻辑表达式：
A. (((土星是距离太阳第6近的行星。) and (not (((35 % 4) <= (-7 * 10 + 10 * -2)) and (五月有28天。)))) and (((19 * -10) <= (5 ** 3)) or ((太平洋是最大的海洋。) or ((1936年奥运会在柏林举办。) or ((-4 * -3 + -1 * -5) < (42 % 4)))))) and ((not not ((not (加拿大的首都是北京。)) and (not not (64能被10整除。)))) or (not not (((16 - -3) == (6 + -14)) and ((2 * 8) > (1... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 21173564,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (((土星是距离太阳第6近的行星。) and (not (((35 % 4) <= (-7 * 10 + 10 * -2)) a... |
logic-v2 | 考虑以下布尔表达式：
A. (((17小于等于68。) or (not not (1988年奥运会在亚特兰大举办。))) or ((芬兰的首都是赫尔辛基。) or ((-12 + 0) < (4 ** 1)) or (韩国的货币是克朗。))) and (((1896年奥运会在雅典举办。) and ((5 + 15) <= (-3 * -13))) and ((not not (罗马尼亚的首都是内罗毕。)) and (1975年是闰年。))) and (((苏联解体发生在1991年。) or ((((-15 + -7) > (8 % 7)) and (鲸鱼是鱼类。)) and (二氧化碳在常温下是固体。))) and ((哥伦比亚的... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 69278377,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. (((17小于等于68。) or (not not (1988年奥运会在亚特兰大举办。))) or ((芬兰的首都是赫尔辛基。)... |
logic-v2 | 审视以下逻辑表达式：
A. 第二次世界大战开始发生在1938年。
B. (not ((5 + -4) > (5 ** 3))) and (not (油在常温下是液体。))
C. (((8 - 17) != (1 * -9 - -6 * 6)) and (印度的首都是北京。)) or ((12 - 3) < (10 - 13))
D. (((-7 * 9 * -10 * 0) != (23 % 4)) or ((-8 - 11) <= (18 - -4))) and (not not ((6 % 1) <= (5 ** 2)))
E. (not ((4 + 8) >= (-3 * 8 - -9 * -2))) or ((氧气在常温下... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 22540584,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. 第二次世界大战开始发生在1938年。\nB. (not ((5 + -4) > (5 ** 3))) and (not (油在常... |
logic-v2 | Given the following boolean expressions:
A. (-10 * 1 + 9 * 8) <= (15 * 17)
B. (not (2055 is a leap year.)) and ((The capital of France is Wellington.) and ((-3 * 6 + -4 * 2) == (12 * -5)))
C. (Sound travels faster in a vacuum.) or (((-5 * 2 - -8 * 0) != (45 % 2)) or ((20 - 13) < (7 * 0 + -6 * 6)))
D. ((A snake is a re... | {
"game_data": {
"answer": "A,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 66645120,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. (-10 * 1 + 9 * 8) <= (15 * 17)... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((not (1948年奥运会在亚特兰大举办。)) or (1996年奥运会在蒙特利尔举办。)) or (((2074年是闰年。) and (人类首次登月发生在1969年。)) or ((一月有31天。) and (鲤鱼是鱼类。)))) or ((22 % 9) > (-12 * 1)) or ((not ((-18 * 10) > (3 ** 3))) and ((not not ((3 ** 2) <= (-7 + 10))) and (not ((4 ** 2) <= (-10 * -3 + 10 * -5)))))) or ((not not (((火星是距离太阳第4近... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 51676888,
"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 (1948年奥运会在亚特兰大举办。)) or (1996年奥运会在蒙特利尔举办。)) or... |
logic-v2 | 研究以下逻辑语句：
A. ((-4 + -4) <= (-18 * 5) <= (-7 + 16)) or (1975年是闰年。)
B. ((-10 + 18) >= (0 * 2 - 5 * -10)) or ((匈牙利的货币是福林。) or (加拿大的货币是加元。)) or (空气在常温下是液体。)
C. not (七月有31天。)
D. (not not (not ((-8 * -2 + 9 * 7) > (-1 + 7)))) and (not ((17 % 5) < (1 * 19) < (11 * -8))) and ((((5 ** 3) == (-7 * -10 * -4 * -7)) or ((7 + 20) !... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 26003059,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. ((-4 + -4) <= (-18 * 5) <= (-7 + 16)) or (1975年是闰年。)\nB. ((-10 + 18... |
logic-v2 | Review these logical expressions:
A. ((((A eagle is a bird.) or (The square root of 4 is 12.)) or (not not ((-3 * 4 - 7 * 9) < (3 * 18)))) or (not not (((4 ** 2) < (-6 - 18)) or (Plants produce oxygen through photosynthesis.)))) and ((((Mercury is the 6th planet from the Sun.) and (The square root of 49 is 7.)) or ((-... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 20844371,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. ((((A eagle is a bird.) or (The square root... |
logic-v2 | Examine these expressions:
A. ((not (not (Mars is the closest planet to the Sun.))) or ((not not ((The capital of Russia is Moscow.) or (The currency of Japan is the Dollar.))) or ((((11 * 16) != (6 % 9)) or (Japan is in Asia.)) and (not not (The first Olympic Games of modern era occurred in 1896.))))) or ((not not ((... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 82843450,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. ((not (not (Mars is the closest planet to the ... |
logic-v2 | 考虑以下布尔表达式：
A. (not (((3 - 1) < (-20 + -17) < (1 ** 3)) or (水在常温下是液体。))) or (not not (not not (猫有8条腿。)))
B. (((21 % 4) <= (3 * -7 + -7 * 5)) or ((短吻鳄是昆虫。) and ((9 + -3) >= (15 + 3)))) or (((埃及位于南美洲。) or ((15 * 12) >= (14 % 8))) or ((1910年是闰年。) or ((-3 + 2) < (3 * 0 + -9 * -6))))
C. ((not (埃及的首都是开罗。)) or (((8 % 8) >= (-... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 46116543,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. (not (((3 - 1) < (-20 + -17) < (1 ** 3)) or (水在常温下是液体。))) or (no... |
logic-v2 | Given the following boolean expressions:
A. Steam is a gas at room temperature.
B. (not not (2007 is a leap year.)) and ((2088 is a leap year.) or ((6 * 16) < (2 + -10)))
C. Humans have five fingers on each hand.
Select all that evaluate to True. Put your answer in \boxed{} as comma-separated labels. | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 91608444,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. Steam is a gas at room temperature... |
logic-v2 | Evaluate each expression below:
A. (14 + 10) < (11 - 5) < (19 + -3)
B. ((-2 * 3 - -8 * 6) >= (1 ** 2)) or (The capital of Australia is Canberra.)
C. (8 * 5 * -1 * 0) != (-1 - -1)
D. (Mars is the 8th planet from the Sun.) or (The capital of Australia is Wellington.)
E. (not not (Germany is in Europe.)) or (not not ((-1... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 62104150,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (14 + 10) < (11 - 5) < (19 + -3)\nB. ((-2 *... |
logic-v2 | 检验这些表达式：
A. not ((not not (((4 % 9) != (-11 * 6)) and ((10 * 6) != (14 + -9)))) or (((沙特阿拉伯的货币是里亚尔。) and (鬣蜥是哺乳动物。)) and (((15 - 9) == (17 % 1)) and (72是奇数。))))
B. not (not (((地球是距离太阳第8近的行星。) or ((9 * 3) == (4 * 14))) or ((泰坦尼克号沉没发生在1922年。) or (莱特兄弟首次飞行发生在1903年。))))
C. ((not (not ((0 * 1) < (39 % 10)))) or ((not not (... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 58823147,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not ((not not (((4 % 9) != (-11 * 6)) and ((10 * 6) != (14 + -9)))... |
logic-v2 | 审视以下逻辑表达式：
A. (((11 + 12) < (-10 + -2)) and (葡萄牙的首都是内罗毕。)) or (葡萄牙的首都是奥斯陆。)
B. (天王星是距离太阳第7近的行星。) or (((4 ** 2) >= (3 ** 1)) or (钴的化学符号是Cr。))
C. (not not ((3 ** 1) < (10 * 0 - 5 * -4))) and (not not (2056年是闰年。))
D. (9 - 8) <= (17 + -18)
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 3565272,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (((11 + 12) < (-10 + -2)) and (葡萄牙的首都是内罗毕。)) or (葡萄牙的首都是奥斯陆。)\nB.... |
logic-v2 | 考虑以下布尔表达式：
A. ((((-6 * 13) <= (-15 - -6) <= (-19 * 9)) and ((-6 * 6) > (19 - -20))) and ((金的化学符号是Mg。) and (埃及位于南极洲。))) or (((2 * -8) < (42 % 6)) or (1936年奥运会在雅典举办。)) or ((-2 - 13) <= (11 - 0))
B. ((-16 * 7) != (7 * -7 * 6 * 5)) or (((-7 + -8) < (40 % 10) < (6 * -1 - -3 * 3)) or ((3 ** 2) < (3 * -4 - -3 * -1) < (16 + 1... | {
"game_data": {
"answer": "A,B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 91762078,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. ((((-6 * 13) <= (-15 - -6) <= (-19 * 9)) and ((-6 * 6) > (... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not not (1932年奥运会在首尔举办。)) and ((-6 + -4) > (44 % 3))) or (((伦敦大火发生在1661年。) or ((10 * -10 + 6 * 6) >= (5 * 1 - -6 * 1))) and ((2064年是闰年。) or (119是偶数。)))) and (not not (瑞士的首都是伯尔尼。))
B. not (((-19 - -1) == (4 * 7)) and (not ((天王星是距离太阳第7近的行星。) or ((-16 * -7) <= (13 - 18)))))
C. not not (not not ((泰坦... | {
"game_data": {
"answer": "B,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 39491968,
"true_count": 5
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not not (1932年奥运会在首尔举办。)) and ((-6 + -4) > (44 % ... |
logic-v2 | 给定以下布尔表达式：
A. (((((0 * 9 - 8 * 8) >= (-9 * -10 - 1 * 10)) or (菲律宾的货币是奈拉。)) and ((加拿大的货币是加元。) or ((-17 - -6) > (-2 - -15)))) or (not (氧气对人类生存是必需的。))) or (((not not (阿根廷位于南美洲。)) or ((81的平方根是9。) and (水星是距离太阳第6近的行星。))) or ((((2 + -18) != (7 * -16)) or ((7 + 10) <= (4 ** 3))) or (((11 - -12) >= (2 ** 1)) and ((-3 * -6 + 10... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 19604863,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (((((0 * 9 - 8 * 8) >= (-9 * -10 - 1 * 10)) or (菲律宾的货币是奈拉。)) and... |
logic-v2 | Consider the following logical expressions:
A. not (not ((not ((-10 + -6) >= (16 + -11))) or (((Whales are fish.) and (((-7 + -4) == (-16 * -14)) and ((10 * 6 + 8 * 4) < (6 - 12)))) and (A crab has 10 legs.))))
B. not not (not not (((not not ((40 is divisible by 5.) or (A ant has 6 legs.))) and (((16 % 2) != (10 + -20... | {
"game_data": {
"answer": "A,B,C,D,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 63569278,
"true_count": 8
},
"question": "Consider the following logical expressions:\n\nA. not (not ((not ((-1... |
logic-v2 | 下面是几个布尔表达式：
A. not (((((((-3 * -2 + 3 * -6) < (-9 * 0)) and (声音在真空中传播更快。)) and ((哥伦比亚的货币是比索。) or (木星是距离太阳第8近的行星。))) or ((八月有28天。) and ((20 - 15) >= (-20 - 19))) or (((1968年奥运会在悉尼举办。) and (地球上一天是24小时。)) and ((19 + 13) > (-3 + -9)))) or (not not ((not not (蝙蝠是哺乳动物。)) or (not (葡萄牙的首都是里斯本。))))) or (not ((氦气在常温下是气体。) or (n... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 19678313,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not (((((((-3 * -2 + 3 * -6) < (-9 * 0)) and (声音在真空中传播更快。)) and... |
logic-v2 | 检验这些表达式：
A. not not (1908年奥运会在雅典举办。)
B. ((5 * 10 * 7 * -4) != (1 * 1 - 3 * 10)) and (((酒精在常温下是液体。) or (人类首次登月发生在1959年。)) and (2020年奥运会在首尔举办。))
C. 冰的密度比液态水小。
D. ((((10 * -4 * -2 * 1) < (-2 - -5)) or ((-10 - -13) > (-3 * 10 * 7 * 5))) and (火星是距离太阳第4近的行星。)) and (秘鲁位于北美洲。)
哪些是真的？在 \boxed{} 中列出所有为真选项的标识，用逗号分隔。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 35563623,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not (1908年奥运会在雅典举办。)\nB. ((5 * 10 * 7 * -4) != (1 * 1 - 3 * 10))... |
logic-v2 | 检验这些表达式：
A. ((not (((((5 ** 2) == (-2 * 18)) or (智利的首都是圣地亚哥。)) or ((地球上一天是24小时。) or ((19 - 17) > (-5 * -12)))) and ((not not (金在常温下是液体。)) and ((-10 * 10) == (-9 + 18))))) and (not not (not not ((0 - 3) <= (-8 + -16) <= (7 + 16))))) or (((not ((not ((-10 * 1) <= (-2 * -6 - 8 * 8) <= (-17 - -9))) or (1956年奥运会在墨尔本举办。))) ... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 77607623,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. ((not (((((5 ** 2) == (-2 * 18)) or (智利的首都是圣地亚哥。)) or ((地球上一天是24小时... |
logic-v2 | Analyze these boolean expressions:
A. (53 is divisible by 8.) and (not not ((49 % 9) == (1 - -4)))
B. ((16 + 19) <= (3 ** 2) <= (5 ** 3)) or ((The capital of Netherlands is Amsterdam.) and ((19 * 2) >= (-5 * -6 - -1 * -8)))
C. not not ((10 * -5 - 2 * -1) == (3 ** 3))
D. The United States declared independence occurred... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 66480494,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (53 is divisible by 8.) and (not not ((49 ... |
logic-v2 | 下面是几个布尔表达式：
A. (-1 + 17) > (9 - -2)
B. (2 ** 2) <= (7 + 2)
C. ((-12 + 19) != (-13 * -13)) and (not ((-12 - 12) != (50 % 8)))
D. ((39能被6整除。) and ((11 - 1) < (3 ** 2))) and ((1980年奥运会在莫斯科举办。) and ((-1 * 0 - -4 * 10) < (2 ** 2) < (-4 * -8)))
E. ((土星是距离太阳第6近的行星。) or ((5 ** 1) < (-13 - 0))) or (not not ((11 - -13) > (-8 * ... | {
"game_data": {
"answer": "A,B,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 27075688,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. (-1 + 17) > (9 - -2)\nB. (2 ** 2) <= (7 + 2)\nC. ((-12 + 19... |
logic-v2 | 评估以下每个表达式：
A. not not (((not not (((中国的首都是北京。) and (42是质数。)) or (巴西位于南美洲。))) or ((0 + 11) < (8 - -11)) or (not not (((2 ** 3) == (2 - -9)) and (((-11 - 12) == (8 - 0)) and ((5 ** 3) > (4 * -6 - 4 * 4)))))) or (not not (八月有31天。)) or ((((3 + 1) < (15 * 7)) or ((油在常温下是气体。) or (水星是距离太阳第1近的行星。)) or ((韩国的货币是里拉。) and (((-7 *... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 24537773,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not (((not not (((中国的首都是北京。) and (42是质数。)) or (巴西位于南美洲。))) or ... |
logic-v2 | 检验这些表达式：
A. not (((5 ** 2) > (-8 - -3)) and ((36 % 5) >= (19 * -19)))
B. ((钴的化学符号是Co。) or (新西兰的首都是首尔。)) and ((1979年是闰年。) or (鸡是爬行动物。))
C. (-4 * -1 + -8 * 10) == (2 ** 3)
D. 人体有150块骨头。
E. ((2035年是闰年。) and (天王星是距离太阳第5近的行星。)) and ((7 - -3) < (46 % 3))
F. ((10 * 4 + -8 * -6) < (5 ** 2)) or (((-6 - 8) > (7 + 14)) or (德国位于欧... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 77523726,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not (((5 ** 2) > (-8 - -3)) and ((36 % 5) >= (19 * -19)))\nB. ((钴的化学... |
logic-v2 | Given the following boolean expressions:
A. ((The 1956 Olympics were held in Melbourne.) or ((1 ** 3) > (3 ** 1))) or ((1 * 0) < (3 ** 2))
B. ((-5 - 14) >= (-5 + 12)) or (not (The capital of Switzerland is Bern.))
C. ((-12 + -13) > (-9 + -16)) or (not (There are 28 days in August.))
D. Steam is a gas at room temperatu... | {
"game_data": {
"answer": "A,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 86713396,
"true_count": 6
},
"question": "Given the following boolean expressions:\n\nA. ((The 1956 Olympics were h... |
logic-v2 | 分析以下逻辑表达式：
A. ((not (((-19 - -8) >= (0 * -11)) or ((-19 + 13) == (16 - -3)))) and (not not ((韩国的货币是比索。) and (钙的化学符号是Hg。)))) or (not (((钴的化学符号是Pb。) and (火星是距离太阳第4近的行星。)) or ((1 ** 1) <= (10 * 4 * -10 * -6))))
B. ((企鹅能飞翔。) and ((八月有28天。) or (2000年奥运会在悉尼举办。)) and (not not (火星是距离太阳第8近的行星。))) and ((((1 - 4) != (20 + -2)) a... | {
"game_data": {
"answer": "E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 25857876,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. ((not (((-19 - -8) >= (0 * -11)) or ((-19 + 13) == (16 - -3)))) ... |
logic-v2 | 分析以下逻辑表达式：
A. not ((not ((((尼日利亚位于非洲。) or ((10 * -4 - -4 * 9) >= (2 + -5))) and (not not (钠的化学符号是Na。))) and (64的平方根是12。) and (not not (20大于93。)))) and ((((6 + 10) == (4 - -7)) or (not ((-14 - -10) >= (23 % 2)))) and (钾的化学符号是Cl。) and (((马有4条腿。) or ((鸭子有2条腿。) and ((-6 * -8) <= (5 * 2 * -2 * 6)))) and ((汞在常温下是液体。) and ((... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 33903132,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not ((not ((((尼日利亚位于非洲。) or ((10 * -4 - -4 * 9) >= (2 + -5))) an... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((((The currency of Australia is the Dollar.) or (The 1960 Olympics were held in Rome.)) and (not not (The capital of Belgium is Brussels.))) or (not not (There are 31 days in March.))) and (not not ((The currency of India is the Rupee.) and (The 1900 Olympics were hel... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 25361359,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((((The currency of Australi... |
logic-v2 | Examine these expressions:
A. (7 * -4 * -5 * 0) != (7 - 1)
B. not not ((-3 * 13) < (18 * -10))
C. (not not (There are 31 days in May.)) or (((18 - -17) < (9 + 18)) or ((7 + 8) != (50 % 3)))
D. A horse has 0 legs.
E. The currency of China is the Yuan.
F. The Soviet Union dissolved occurred in 1990.
Which ones are true... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 69999624,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (7 * -4 * -5 * 0) != (7 - 1)\nB. not not ((-3 ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not ((-4 - 13) < (19 - -13))
B. 58是质数。
C. ((越南位于南极洲。) and ((-9 * 0) == (4 + 2))) or (not not ((-9 * 3) <= (5 + 16)))
D. ((沙特阿拉伯位于南美洲。) and ((4 ** 2) != (6 - 13))) or ((16的平方根是4。) and ((2 ** 3) < (49 % 5) < (13 + -2)))
E. not not (((-7 * 1 * 3 * -4) > (48 % 4)) or (天王星是距离太阳第7近的行星。))
F. (-19 + 1... | {
"game_data": {
"answer": "C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 44647239,
"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 ((-4 - 13) < (19 - -13))\nB. 58是质数。\nC. ((越南位... |
logic-v2 | 审视以下逻辑表达式：
A. not ((((8 * 10 - -2 * 10) != (19 - 0)) or ((3 ** 1) < (-16 - 2))) and ((1912年奥运会在斯德哥尔摩举办。) and (木星是距离太阳第5近的行星。)))
B. ((铀的化学符号是U。) and ((8 * -9 - 10 * -5) <= (-2 * 5 + 4 * -4))) or (not (((-1 * 14) <= (28 % 3)) or ((1 ** 1) < (4 ** 1))))
C. ((not not ((18 - -20) <= (-2 + 2) <= (-8 - -13))) and (((3 ** 2) ... | {
"game_data": {
"answer": "E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 11040717,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. not ((((8 * 10 - -2 * 10) != (19 - 0)) or ((3 ** 1) < (-16 - 2... |
logic-v2 | 考虑以下布尔表达式：
A. 木星是距离太阳第5近的行星。
B. (not not ((-9 - -7) != (9 + 4))) and ((牛是爬行动物。) or (狮子是哺乳动物。))
C. (蝴蝶有6条腿。) or (((19 * 8) > (-8 * -3 * -2 * -4)) or (174是完全平方数。))
D. 铂的化学符号是Pt。
哪些表达式的值为 True？请在 \boxed{} 中给出答案，用逗号分隔选项标识。 | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 13563846,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. 木星是距离太阳第5近的行星。\nB. (not not ((-9 - -7) != (9 + 4))) and ((牛是... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((not (The capital of Thailand is Bangkok.)) or (((20 - -8) > (17 + 20)) and ((-1 * 9) < (43 % 1)))) or ((There are 28 days in January.) or (The 1980 Olympics were held in Paris.)) or ((-4 - 20) >= (-2 * -8 - -4 * 5))
B. (A elephant has 4 legs.) and ((Diamond is a soli... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 65194586,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((not (The capital of Thai... |
logic-v2 | Evaluate each expression below:
A. (not ((The 1912 Olympics were held in Stockholm.) and (((13 * -14) <= (6 * -14)) and (The capital of Russia is Moscow.)) and ((-3 - -10) == (-6 * 3 * 1 * -10)))) or (not not ((There are 31 days in July.) or ((41 % 2) >= (6 - -16))))
B. not (not not (not not ((not ((-5 * 9 + 5 * -4) <... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 84055365,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (not ((The 1912 Olympics were held in Stock... |
logic-v2 | 下面是几个布尔表达式：
A. 1956年奥运会在墨尔本举办。
B. (not not ((-4 - -12) == (16 * 1))) and (not (新加坡的货币是越南盾。))
C. (6 + -5) == (-1 - 9)
D. not not ((土星是距离太阳第6近的行星。) and ((8 * -19) == (-16 - -13)))
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选项标识。 | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 39488886,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. 1956年奥运会在墨尔本举办。\nB. (not not ((-4 - -12) == (16 * 1))) and (not (... |
logic-v2 | 下面是几个布尔表达式：
A. not not (not ((匈牙利的货币是欧元。) and (76是完全平方数。)))
B. (not (((9 * -16) != (5 ** 2)) or ((-9 * 2 - 4 * -1) == (-17 - -16)))) or ((2004年奥运会在雅典举办。) or ((-3 * 4 * -4 * 10) > (-16 - -1)))
C. not not (not (((4 ** 3) >= (5 * 0 * -5 * -6)) and (莱特兄弟首次飞行发生在1903年。)))
D. (((鸭子有2条腿。) and (南非的货币是兰特。)) and (墨西哥的首都是惠灵顿。)) a... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 4178239,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not not (not ((匈牙利的货币是欧元。) and (76是完全平方数。)))\nB. (not (((9 * -16... |
logic-v2 | Review these logical expressions:
A. not ((((13 - -16) >= (20 - 14)) or (The chemical symbol for Chromium is K.)) and (not (The Titanic sank occurred in 1912.)))
B. ((not (The currency of Canada is the Dollar.)) or ((The capital of Saudi Arabia is Havana.) or ((-5 * -7 * 3 * 5) <= (-16 - -6) <= (-10 * -8)))) and (((Th... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 26200441,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not ((((13 - -16) >= (20 - 14)) or (The c... |
logic-v2 | Study the following logical statements:
A. not not (not not (((-8 * 9 - -8 * -7) >= (0 * -11)) or (The 1976 Olympics were held in Montreal.)))
B. not not ((17 - -13) >= (6 * 16))
C. ((3 * -7 + -8 * 7) <= (3 - 13)) and ((The capital of Egypt is Stockholm.) or ((The first moon landing occurred in 1969.) or ((46 % 1) < (... | {
"game_data": {
"answer": "A,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 25060395,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. not not (not not (((-8 * 9 - -8... |
logic-v2 | 给定以下布尔表达式：
A. (((not not (((14 - 4) < (-15 - -12)) or (1904年奥运会在圣路易斯举办。))) or ((18 + -7) != (14 + 13))) or ((柏林墙倒塌发生在1989年。) or ((美国的货币是卢布。) and (not (莱特兄弟首次飞行发生在1903年。))))) and (not not (((1928年奥运会在阿姆斯特丹举办。) and (not (企鹅能飞翔。))) and (乌龟是爬行动物。)))
B. (not not (((匈牙利的首都是布达佩斯。) or (巴西位于南美洲。)) or ((钛的化学符号是Ne。) or ((5 + 15)... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 17591028,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. (((not not (((14 - 4) < (-15 - -12)) or (1904年奥运会在圣路易斯举办。)))... |
logic-v2 | Study the following logical statements:
A. not (not not ((-6 * 10 * 5 * -6) != (14 * 6)))
B. The 1932 Olympics were held in Los Angeles.
C. not ((1 * 7) <= (2 ** 2))
Which statements are true? Put all true option labels in \boxed{}, separated by commas. | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 34367170,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not (not not ((-6 * 10 * 5 * -6) !=... |
logic-v2 | 给定以下布尔表达式：
A. not (((((伦敦大火发生在1667年。) and (not ((8 + 19) < (4 ** 2) < (-6 - 3)))) or ((-3 * 8 + -9 * -2) < (2 * 5) < (-6 * -4 * -2 * 3))) or ((哥伦比亚的首都是吉隆坡。) or (not not ((氮的化学符号是C。) or ((-14 - 8) == (-2 - 5)))))) or (not (((not not ((1 ** 2) < (-13 + 16))) and (((1 - -9) > (4 + 9)) and (木星是距离太阳第1近的行星。))) and ((第一次世界大战... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 37488225,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. not (((((伦敦大火发生在1667年。) and (not ((8 + 19) < (4 ** 2) < (-6 - ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((10 * 0 - 7 * 7) >= (0 * -10 - -7 * -8)) and ((2 * -10 + -3 * 3) > (4 * 3 * -7 * 2))) or ((中国的首都是柏林。) and ((-14 + 4) >= (-3 * -10 * -8 * 3)))) or (人类有2条腿。) or ((((-15 + 5) > (10 * 3 * -6 * 3)) and (十二月有30天。)) and (((-6 * -2 + -3 * -9) < (-12 - -16)) and (摩洛哥位于非洲。)))
B. ((not (2012年奥运会在悉尼举办。... | {
"game_data": {
"answer": "A,B,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 907572,
"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. ((((10 * 0 - 7 * 7) >= (0 * -10 - -7 * -8)) and ((2... |
logic-v2 | Review these logical expressions:
A. not ((Saudi Arabia is in Asia.) and (Electricity flows faster than light.))
B. 73 is greater than 30.
C. (not not (The capital of Thailand is Bangkok.)) and (not (The capital of Italy is Singapore.))
D. ((The chemical symbol for Platinum is Pt.) and ((-2 + -16) > (45 % 7))) and (((... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 32710832,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not ((Saudi Arabia is in Asia.) and (El... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not (not not ((15 is an odd number.) or (The capital of Ireland is Brussels.) or (Diamonds are made of carbon.))))
B. not not ((not (not not ((not ((1 * 16) != (20 - 11))) and (((-9 + 18) > (-1 * -6 + -6 * -2)) or (A human has 2 legs.))))) and (not (((-16 + -1... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 75915804,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not (not not ((... |
logic-v2 | Study the following logical statements:
A. not (not not ((((((-7 - -17) > (2 ** 1)) and (173 is a perfect square.)) and ((1 % 1) != (2 ** 1))) or (((5 ** 1) == (-10 - -18)) or ((5 * -9 * 4 * 1) != (-10 * 1))) or ((not not ((-19 - 20) <= (10 - 5) <= (3 * 5 + 0 * 2))) or ((2071 is a leap year.) or (Mercury is the 1st pl... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 65056944,
"true_count": 5
},
"question": "Study the following logical statements:\n\nA. not (not not ((((((-7 - -17) ... |
logic-v2 | 下面是几个布尔表达式：
A. not not (not (((3 * 8 - 6 * -2) > (9 + -11)) and (not (地球是距离太阳第3近的行星。)) and (第一部iPhone发布发生在2012年。)))
B. not not (((越南的货币是比索。) and (not (天王星是距离太阳第6近的行星。)) and (南极洲是最冷的大陆。)) and (((6 * 0) <= (20 + -3)) and (((-2 * 1 + -7 * 5) > (3 * 14)) and ((1 - -3) <= (-11 * 18) <= (-8 * 9))) and (not ((中国的货币是人民币。) and... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 66254409,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not not (not (((3 * 8 - 6 * -2) > (9 + -11)) and (not (地球是距离太阳第... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((Colombia is in South America.) or (The chemical symbol for Gold is Au.)) and (not (not ((10 - -3) == (-8 * 5 - 4 * 8)))) and (not ((not ((7 % 9) <= (49 % 3))) and (((-13 + 17) < (5 * 1)) and (A penguin is a bird.))))
B. (((not ((2 ** 2) <= (-17 - 7))) or (not not ((4... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 68412894,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((Colombia is in South Ameri... |
logic-v2 | 分析以下逻辑表达式：
A. (not (((((三月有31天。) and (水蒸气在常温下是气体。)) or (((28 % 10) < (3 * 1 - 3 * 5) < (-2 * -4 + 6 * 7)) and ((4 ** 3) <= (1 ** 2)))) and (铬的化学符号是Cr。)) or ((-2 * -10 * 2 * -1) > (1 ** 3)) or (((((-11 - -18) != (9 * 7 * 4 * -1)) or ((4 ** 2) != (2 - -19))) and (土耳其的货币是比索。)) and (((六月有30天。) and (英国位于欧洲。)) or (((-7 * 10... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 15157226,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (not (((((三月有31天。) and (水蒸气在常温下是气体。)) or (((28 % 10) < (3 * 1 - 3 ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (4 + -2) <= (-8 * -10 - 8 * -5)
B. The 1976 Olympics were held in Montreal.
C. not (((-10 * 5) != (3 * 9 - 8 * 8)) or ((-9 * 1 + 8 * -10) >= (20 % 3)))
D. (0 * -3 * 0 * 2) > (15 - 11)
E. A day on Earth is 24 hours.
F. not (not ((-9 + 12) <= (9 * 8 - -4 * 0)))
Find all... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 82683745,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (4 + -2) <= (-8 * -10 - ... |
logic-v2 | Given the following boolean expressions:
A. not ((not not (not not (162 is a perfect square.))) or (not not ((not not (((2 * 7 * -3 * -1) != (14 * -3)) or ((-5 * 4 - 8 * -4) >= (-13 + 12)))) and (((-5 - -10) <= (3 ** 2)) and ((1 * -2 - 1 * -5) < (8 - -2))) and ((((-18 + -14) >= (11 % 10)) or ((-5 * -18) < (-7 + -18)))... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 27757008,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not ((not not (not not (162 is a... |
logic-v2 | 考虑以下布尔表达式：
A. (not ((not not (碳的化学符号是Au。)) and (not (八月有31天。)))) and ((not ((not ((-9 + -20) >= (34 % 7))) and (印度位于南美洲。))) or (((((-8 * -6 + -2 * -5) >= (35 % 6)) or (尼日利亚的货币是奈拉。)) or ((-7 * 3 + 9 * -2) < (-18 - 19))) or (((((13 + 8) >= (5 * 1 - 7 * 2)) and ((7 + 4) <= (1 ** 3) <= (6 - -2))) or (not (鸭子有2条腿。))) or ((... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 55741554,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. (not ((not not (碳的化学符号是Au。)) and (not (八月有31天。)))) and ((not ((n... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (((((The capital of Ireland is Dublin.) and (The currency of Norway is the Krone.)) or (not not ((11 % 10) <= (14 + -5) <= (3 ** 3)))) or (((-16 * -1) == (5 ** 2)) or (((-7 * 2 * 6 * -6) == (13 % 1)) or (Humans have three lungs.)))) or (((Christopher Columbus r... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 70193017,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (((((The capital o... |
logic-v2 | Examine these expressions:
A. not ((((2039 is a leap year.) and (((-10 * 1) < (0 * -1 - -4 * 0) < (4 + 0)) and (The 1900 Olympics were held in Paris.))) or ((-1 * -12) < (8 * 4)) or (((4 ** 3) < (7 * -13) < (1 * 8 * 0 * 1)) or ((1 * 8 - 5 * 6) < (-1 * -5 * -2 * -6) < (-5 * 1)))) or ((not (((3 ** 1) > (-7 - 5)) and ((-... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 99992613,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not ((((2039 is a leap year.) and (((-10 * 1) ... |
logic-v2 | Evaluate each expression below:
A. not (not not (((not ((12 + -20) >= (-3 * 6 + 8 * -6))) and (The currency of Turkey is the Lira.)) and (not not (((3 ** 1) < (-18 - -3) < (1 ** 1)) and ((-3 * 0 + 0 * 4) <= (6 % 2))))))
B. (((Helium is a gas at room temperature.) and ((The currency of Hungary is the Ringgit.) and (A s... | {
"game_data": {
"answer": "A,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 24784020,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not (not not (((not ((12 + -20) >= (-3 ... |
logic-v2 | Analyze these boolean expressions:
A. (((not (((17 + 8) <= (11 + 20)) or (Wood is a solid at room temperature.))) or ((20 * 9) > (18 * 19))) and (((The chemical symbol for Hydrogen is H.) or (not not (A swan is a bird.))) or ((A butterfly is an insect.) and ((3 % 1) >= (18 - 17))) or (There are 30 days in November.)))... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 51967049,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (((not (((17 + 8) <= (11 + 20)) or (Wood i... |
logic-v2 | Review these logical expressions:
A. (((not not (((14 * -12) == (-17 - -4)) and ((20 % 3) == (10 - -16)))) and (not ((-1 + -9) <= (0 - 12))) and ((10 * 6 * 2 * -1) == (-4 * 10 + -8 * 2))) and (((15 + -13) == (18 * -2)) or ((3 ** 3) == (40 % 9)))) or ((not ((((33 % 8) != (-12 * -6)) or (The chemical symbol for Zinc is ... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 29462192,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (((not not (((14 * -12) == (-17 - -4)) an... |
logic-v2 | 给定以下布尔表达式：
A. not not (((鱼有100条腿。) and ((-3 * 16) > (-6 * 16))) or ((印度尼西亚的首都是哥本哈根。) and (第一次世界大战结束发生在1918年。)))
B. (2066年是闰年。) or ((伦敦大火发生在1666年。) and (英国位于欧洲。)) or ((((-6 + 5) != (-15 + 19)) or (新西兰的货币是美元。)) and (38是完全平方数。))
C. (not not (菲律宾的首都是巴西利亚。)) or (((1908年奥运会在安特卫普举办。) and ((5 * -6 * -9 * 6) != (4 ** 1))) and ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 6545166,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not not (((鱼有100条腿。) and ((-3 * 16) > (-6 * 16))) or ((印度尼西亚的首都是哥本哈... |
logic-v2 | 研究以下逻辑语句：
A. not not (((not ((((-16 * 18) > (-1 * 5 - 3 * -4)) and ((8 + -3) >= (11 % 4))) and ((5 ** 2) >= (7 - 5)))) or (((现代奥运会首届举办发生在1896年。) and ((0 * -7 - -9 * 5) >= (-20 - 3))) or (1936年奥运会在柏林举办。)) or ((((孔雀是鸟类。) and (铁在常温下是气体。)) or (not (锌的化学符号是Zn。))) and (not (柏林墙倒塌发生在1989年。)) and ((78是偶数。) and (not not ((-20 ... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 48777153,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. not not (((not ((((-16 * 18) > (-1 * 5 - 3 * -4)) and ((8 + -... |
logic-v2 | Evaluate each expression below:
A. not (((((A pig has 8 legs.) and (The capital of Mexico is Mexico City.)) or (((6 * -2 + -4 * 4) <= (0 * -7)) and ((-3 - -15) > (-2 - -19)))) or ((The currency of Hungary is the Rand.) and (There are 29 days in February.)) or (((Helium is a liquid at room temperature.) and ((-10 + 18)... | {
"game_data": {
"answer": "A,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 7445428,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not (((((A pig has 8 legs.) and (The cap... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (((Venus is the 3rd planet from the Sun.) or (not not (14 is less than or equal to 43.))) and ((((-10 + 13) <= (10 * -10 - 8 * 5)) and (Bats are blind.)) and (((-2 * -9 + -8 * -6) < (11 - 9) < (-4 * 3 * -2 * 2)) or ((2 ** 2) <= (-7 *... | {
"game_data": {
"answer": "A,B,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 46117373,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | 给定以下布尔表达式：
A. 钻石由碳元素组成。
B. ((not (not not ((9 * 4 + -7 * 8) == (7 * -7 * 0 * -6)))) or ((not (希腊的首都是柏林。)) and ((1 ** 3) >= (10 - -15)))) and (not (((新加坡的首都是新加坡。) and (月球绕地球运转。)) or ((地球是距离太阳第2近的行星。) and ((15 + -15) >= (10 - 4)))))
C. not not (not (not (not ((-2 - -6) > (-17 - 20)))))
选出所有值为 True 的选项。在 \boxed{} 中以逗号分隔... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 60407430,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. 钻石由碳元素组成。\nB. ((not (not not ((9 * 4 + -7 * 8) == (7 * -7 * 0 * -6... |
logic-v2 | 检验这些表达式：
A. (not (((-2 * 4) > (-11 - 20)) or ((6 * 10 - -7 * -6) > (5 ** 1)) or (铁在常温下是固体。))) or ((((-9 + 10) != (-20 + -1)) or (海王星是距离太阳第8近的行星。)) and (not (102是完全平方数。)))
B. ((not (((17 * 11) < (8 * 6 + 8 * -8)) and (not not (1956年奥运会在赫尔辛基举办。)))) and ((not not (油在常温下是液体。)) and (1900年奥运会在雅典举办。)) and (((((-1 * 4) >= (-2... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 58132503,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (not (((-2 * 4) > (-11 - 20)) or ((6 * 10 - -7 * -6) > (5 ** 1)) o... |
logic-v2 | 检验这些表达式：
A. (6 * 20) != (-9 - 2)
B. (3 * -9 - 2 * 8) < (-7 + 17)
C. (((-6 - 7) <= (1 ** 1) <= (11 - -16)) and (酒精在常温下是固体。)) and ((4 ** 1) > (4 ** 1))
D. not not (not (电流比光速更快。))
E. 2024年奥运会在伦敦举办。
F. not not ((巴西位于南美洲。) or (1908年奥运会在伦敦举办。))
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": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 87100976,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. (6 * 20) != (-9 - 2)\nB. (3 * -9 - 2 * 8) < (-7 + 17)\nC. (((-... |
logic-v2 | 给定以下布尔表达式：
A. ((((火星是距离太阳第4近的行星。) or (壁虎是鸟类。)) and (((17 * -19) <= (2 * -5 * -4 * -6)) and (1960年奥运会在罗马举办。))) and (哥伦布到达美洲发生在1482年。)) or (((21 % 9) > (1 ** 2)) and (not (英国位于大洋洲。)))
B. ((((1972年奥运会在赫尔辛基举办。) or (火星是距离太阳最近的行星。)) or (531是斐波那契数。)) and (泰国位于亚洲。) and (葡萄牙的首都是里斯本。)) and (((波兰的货币是兹罗提。) or ((5 ** 3) < (38 % 10... | {
"game_data": {
"answer": "A,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 88605852,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. ((((火星是距离太阳第4近的行星。) or (壁虎是鸟类。)) and (((17 * -19) <= (2 * -5... |
logic-v2 | 分析以下逻辑表达式：
A. (not not ((4 + -13) < (9 * 2))) or (((-2 * -1 - -10 * 9) < (-10 + 1)) and ((20 * -18) != (-3 - 18)))
B. ((氖的化学符号是Ne。) or (地球是距离太阳第3近的行星。)) or (((9 - 11) <= (6 * 8 - 0 * 9) <= (-1 - -3)) and (铁的化学符号是Fe。))
C. (-5 * 0 + 6 * 7) >= (-7 + -19)
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 6074237,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. (not not ((4 + -13) < (9 * 2))) or (((-2 * -1 - -10 * 9) < (-10... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not ((((2 + -7) < (2 + 17) < (-11 - -9)) or (146 is an even number.)) or ((There are 29 days in April.) and (Carbon dioxide is a gas at room temperature.)))) or (not not ((-3 * 8 * -7 * 8) > (18 - -4)))
B. (((not (2079 is a leap year.)) ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 60265299,
"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. not not (((油在常温下是气体。) and ((-10 - -13) <= (-13 * -15) <= (-6 * 1 - 9 * -5))) or ((短吻鳄是爬行动物。) and (空气在常温下是气体。)))
B. not (第一部iPhone发布发生在2007年。)
C. not ((((-9 - 16) == (-9 + -16)) or ((-4 * -4 - -3 * 4) < (14 * -4))) or (水蒸气在常温下是气体。))
D. (not (not not (水星是距离太阳第5近的行星。))) and (((90是斐波那契数。) and ((-18 * 18) != ... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 15318134,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. not not (((油在常温下是气体。) and ((-10 - -13) <= (-13 * -15) <= (-6 * 1... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not not (((not not (not not ((-5 * 6 + 3 * 9) <= (-15 + 5) <= (-15 - 20)))) or ((A lobster has 10 legs.) or ((Light travels faster than sound.) or (Carbon dioxide is a gas at room temperature.)))) and (((Mexico is in South America.) or ((Colombia is in Africa.) an... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 40861053,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not not (((not not (n... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not not ((not not (((-1 * -9 * -10 * 3) <= (4 ** 2)) or (((-6 + -12) < (3 + -16)) or ((9 + -3) > (-15 * -1))))) or (not (not not (The first airplane flight by the Wright Brothers occurred in 1903.)))))
B. not not (not ((((37 % 7)... | {
"game_data": {
"answer": "A,B,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 40643880,
"true_count": 6
},
"question": "Evaluate the following boolean expressions and select the ones that are t... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not ((not not (Uranus is the 6th planet from the Sun.)) and (not (Jupiter is the 3rd planet from the Sun.))))
B. not (((not (713 is a Fibonacci number.)) or (not not (((-8 * 0 * 1 * -2) < (-3 * -1 + 7 * -9)) or ((-7 + 10) != (-2 - 6))))) or (not not (((not not (Th... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 47600320,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not ((not not (Uranus i... |
logic-v2 | Examine these expressions:
A. not not ((not not (not not (((9 is greater than 27.) or ((2 ** 2) >= (-12 * 9))) and (not (Mars is the 7th planet from the Sun.))))) and (not not (((not ((-9 + -20) < (1 * -9 - -5 * -8))) and (not ((-3 * 1 - -8 * -2) > (11 - -4)))) or ((28 % 5) == (1 ** 2)))))
B. not not (not not (((not (... | {
"game_data": {
"answer": "A,B,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 84115511,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. not not ((not not (not not (((9 is greater t... |
logic-v2 | Below are several boolean expressions:
A. not not (not not ((not not ((((47 % 8) != (3 * 14)) and (Germany is in Europe.)) or ((The currency of Poland is the Zloty.) or ((-9 - 11) == (-12 + 8))))) and ((The first Olympic Games of modern era occurred in 1896.) and (not not ((The first airplane flight by the Wright Brot... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 78970311,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not (not not ((not not ((((47 ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (((((18 * 7) <= (-2 * 10) <= (36 % 9)) and (The 1908 Olympics were held in Tokyo.) and (The chemical symbol for Copper is H.)) and (((6 % 6) == (17 % 4)) or (((-1 * 9 * -5 * 8) < (12 - -18)) or (Wood is a solid at room temperature... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 36220262,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Consider the following logical expressions:
A. not (not not (((20 * -11) >= (-1 - 5)) and (The chemical symbol for Silver is Fe.)))
B. ((49 % 4) != (-18 + -15)) and ((The 2004 Olympics were held in Athens.) or (Helium is a solid at room temperature.)) and ((10 * 20) < (5 ** 2))
C. ((((0 + 16) != (17 % 6)) or (The curr... | {
"game_data": {
"answer": "A,C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 97588121,
"true_count": 6
},
"question": "Consider the following logical expressions:\n\nA. not (not not (((20 * -1... |
logic-v2 | Study the following logical statements:
A. ((not not ((The first airplane flight by the Wright Brothers occurred in 1903.) and (The capital of Poland is Rome.))) and (((6 * 3) > (4 * -1)) and (not not (Uranus is the 7th planet from the Sun.)))) and (not not (((not ((2 ** 3) < (3 % 8))) or ((A beetle is an insect.) and... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 83454265,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. ((not not ((The first airplane flig... |
logic-v2 | 研究以下逻辑语句：
A. (not (not not (not ((-7 * -6 * -8 * 0) <= (3 % 3))))) or ((not not (not ((-7 * -6 - 10 * 7) <= (8 - -2)))) or ((天王星是距离太阳第8近的行星。) and (1985年是闰年。)) or (五月有29天。))
B. ((((电流比光速更快。) or (4的平方根是13。)) or (not not (金在常温下是气体。))) or ((罗马尼亚的首都是布加勒斯特。) and (德国的首都是柏林。)) or ((not not ((-7 - 20) == (-19 + -2))) and ((202... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 27082204,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (not (not not (not ((-7 * -6 * -8 * 0) <= (3 % 3))))) or ((not ... |
logic-v2 | 下面是几个布尔表达式：
A. ((not (not not (((-18 - 8) < (-14 + 10)) and (1968年奥运会在墨西哥城举办。)))) or (not (((美国宣布独立发生在1776年。) and ((16 + -15) > (-17 - -7))) and ((火星是距离太阳最近的行星。) or (地球是距离太阳第3近的行星。))))) and ((not ((not not ((4 - -17) < (-20 + -1) < (1 ** 2))) and (((9 * -9 * -2 * -6) == (-10 * -3 - -3 * 4)) and (空气在常温下是气体。)))) or (not... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 57540267,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. ((not (not not (((-18 - 8) < (-14 + 10)) and (1968年奥运会在墨西哥城举办。)... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not (347是完全平方数。)) and (not (埃及位于非洲。))) and (((5 + -7) <= (5 * 11) <= (-3 - 2)) and ((13 + 7) > (5 ** 3))) and ((-16 + -9) < (15 - 8) < (12 + -8))) and ((-3 * 16) >= (5 ** 2)) and (not not ((((10 * 3 * 4 * 2) >= (-1 * 9 * 2 * 6)) or (氧气在常温下是气体。)) and ((-9 * 18) > (38 % 8))))
B. (not not (越南位于非洲。)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 24478504,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not (347是完全平方数。)) and (not (埃及位于非洲。))) and (((5 + -7) <= ... |
logic-v2 | 考虑以下布尔表达式：
A. not not (((天王星是距离太阳第2近的行星。) and (not not (18能被12整除。))) and ((((17 * -1) > (-12 - -17)) or (变色龙是鱼类。)) and ((日本位于非洲。) or (二氧化碳在常温下是液体。))))
B. (((not not (金星是距离太阳第4近的行星。)) or ((海王星是距离太阳第8近的行星。) or (沙特阿拉伯的首都是利雅得。))) and (((12 - -15) >= (-9 * 9 - 0 * 2)) or (((1 ** 2) != (-8 * 1 - -3 * -8)) and (智利位于大洋洲。)))) ... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 88051625,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. not not (((天王星是距离太阳第2近的行星。) and (not not (18能被12整除。))) and (... |
logic-v2 | 给定以下布尔表达式：
A. ((大象有6条腿。) or (((光速约为每秒30万公里。) and ((5 ** 3) < (6 * -2 * -5 * -5))) and ((第一次世界大战结束发生在1918年。) and (1921年是闰年。)))) or ((((瑞典的首都是斯德哥尔摩。) and ((7 + -10) == (4 ** 1))) or (英国的货币是新西兰元。)) and (not (not not ((19 * 4) < (-19 + 4) < (9 + 20)))))
B. (not ((印度位于亚洲。) and (not ((12 - 14) < (3 * 2 - 6 * 2))))) and ((no... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 47300908,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. ((大象有6条腿。) or (((光速约为每秒30万公里。) and ((5 ** 3) < (6 * -2 * -5 * -5))... |
logic-v2 | 审视以下逻辑表达式：
A. ((1976年奥运会在蒙特利尔举办。) and ((12 - -17) != (43 % 4))) or (匈牙利的首都是安卡拉。)
B. 1952年奥运会在赫尔辛基举办。
C. (-12 + 4) == (-6 + -18)
D. ((钙的化学符号是Ca。) or (海王星是距离太阳第6近的行星。)) and (韩国位于亚洲。)
E. 2016年奥运会在阿姆斯特丹举办。
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 44502434,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((1976年奥运会在蒙特利尔举办。) and ((12 - -17) != (43 % 4))) or (匈牙利的首都是安... |
logic-v2 | 研究以下逻辑语句：
A. not (((韩国的货币是克朗。) or (((-7 * 20) != (0 * -7 + -9 * 3)) or (2055年是闰年。))) and (((摩洛哥位于非洲。) and (丹麦的首都是东京。)) and ((39 % 10) != (19 - 19))))
B. not not (not ((印度的货币是卢比。) and (((28 % 4) > (22 % 9)) or (硅的化学符号是Al。))))
C. (((((23 % 2) == (-11 + 7)) or ((-5 * 9 + -10 * 10) < (25 % 7) < (-5 + -1))) and (not (1920年... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 76677068,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. not (((韩国的货币是克朗。) or (((-7 * 20) != (0 * -7 + -9 * 3)) or (2055... |
logic-v2 | 考虑以下布尔表达式：
A. ((18 * 16) < (1 * 9)) or (not ((-15 + 18) < (1 ** 3) < (1 * -1)))
B. ((智利位于南美洲。) or ((-5 * 2 * -6 * -10) > (3 - 17))) and ((太平洋是最大的海洋。) and (2020年奥运会在巴塞罗那举办。))
C. (-5 * -1 - 6 * 10) != (2 - 13)
哪些表达式的值为 True？请在 \boxed{} 中给出答案，用逗号分隔选项标识。 | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 97138610,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. ((18 * 16) < (1 * 9)) or (not ((-15 + 18) < (1 ** 3) < (1 * -1))... |
logic-v2 | Consider the following logical expressions:
A. (not not (Gold is a solid at room temperature.)) or (not not (The chemical symbol for Chlorine is Au.))
B. (not not (((18 % 1) <= (20 % 8)) and (A whale is an insect.))) and (not (2075 is a leap year.))
C. ((19 + -16) > (4 ** 1)) or ((not not (The currency of South Korea ... | {
"game_data": {
"answer": "A,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 33058604,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. (not not (Gold is a solid... |
logic-v2 | 评估以下每个表达式：
A. (((not not (阿根廷的货币是比索。)) and (((-1 + -3) < (-18 - -5)) or ((17 * -2) < (3 * 8) < (-13 + 2)))) and (not (泰国的首都是渥太华。)) and ((((16 + -20) != (10 * -2 - -3 * 6)) and (菲律宾的货币是新西兰元。)) and (not not (冰在常温下是固体。)))) or (((金星是距离太阳第4近的行星。) or (水星是距离太阳第5近的行星。)) or (not ((5 - -13) < (2 ** 1) < (-9 * 7 - 9 * -3)))) or ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 45959101,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (((not not (阿根廷的货币是比索。)) and (((-1 + -3) < (-18 - -5)) or ((17 * -... |
logic-v2 | Consider the following logical expressions:
A. (not not (not not (not not (((14 + 1) != (2 * -7 * 5 * 4)) and ((18 % 1) != (2 * 6 * 3 * -7)))))) and (not not (((Light travels faster than sound.) or ((-9 - -10) < (12 * 3))) or (not ((-12 + 4) == (-1 * -20))))) and (not (((Nitrogen is a gas at room temperature.) and ((C... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 85677279,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. (not not (not not (not not (((14 ... |
logic-v2 | Given the following boolean expressions:
A. ((((Oxygen is a solid at room temperature.) and ((1 * 4 * -3 * 8) <= (2 * -17))) and (((-16 + 16) > (-7 * -5 + 10 * 0)) or (Jupiter is the 1st planet from the Sun.))) and (not ((9 * 3) >= (10 % 3)))) or (((The Titanic sank occurred in 1912.) or ((The French Revolution began ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 61873376,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. ((((Oxygen is a solid at room te... |
logic-v2 | Consider the following logical expressions:
A. not ((((52 is divisible by 11.) or (((3 + -11) < (7 - -20)) or ((0 * -17) >= (-6 * 10))) or ((There are 30 days in February.) and (not (The 1960 Olympics were held in London.)))) and ((not not (1946 is a leap year.)) and ((-16 - -10) < (-20 + -10)))) or (not ((not not ((J... | {
"game_data": {
"answer": "A,B,C,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 82374000,
"true_count": 6
},
"question": "Consider the following logical expressions:\n\nA. not ((((52 is divisible... |
logic-v2 | 检验这些表达式：
A. (not not (((-19 + 11) == (5 * -5 * -9 * -3)) or ((海王星是距离太阳第3近的行星。) and ((4 * 10 * -4 * -3) > (3 ** 2))) or (((74是完全平方数。) or ((-19 - 8) < (-16 + 0) < (0 * 8 + -10 * -6))) and (not not (秘鲁的首都是布鲁塞尔。))))) or (((((鸟有2条腿。) or (尼日利亚的首都是堪培拉。)) and (((45 % 9) <= (5 ** 3)) or (天鹅是鸟类。))) and (((蜜蜂是鸟类。) and ((-2 - 16)... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 69316636,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (not not (((-19 + 11) == (5 * -5 * -9 * -3)) or ((海王星是距离太阳第3近的行星。) a... |
logic-v2 | 分析以下逻辑表达式：
A. (not ((not not (1965年是闰年。)) and ((尼日利亚位于非洲。) and (2077年是闰年。)))) or (not not (((((-13 - -14) >= (0 * -4 - -10 * 1)) and (巴西的首都是巴西利亚。)) or (not not (((17 - -2) <= (-2 * -20)) or ((-10 * 5) < (3 * 1 * -9 * 2))))) or (not ((((-6 * 3 - -10 * -9) >= (20 - 20)) and ((-6 + 15) < (2 ** 3))) and ((-6 * 10 - -5 * 3... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 3646,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (not ((not not (1965年是闰年。)) and ((尼日利亚位于非洲。) and (2077年是闰年。)))) or (no... |
logic-v2 | Below are several boolean expressions:
A. not not (not not ((not not (not not (not not (There are 31 days in July.)))) and (The chemical symbol for Cobalt is Co.) and (not (not not ((62 is less than or equal to 57.) and ((41 % 5) >= (-3 + -3)))))))
B. not not (not not ((((((-9 - -1) > (10 * 0 * -7 * -9)) or (Helium is... | {
"game_data": {
"answer": "A,B,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 94041492,
"true_count": 6
},
"question": "Below are several boolean expressions:\n\nA. not not (not not ((not not (... |
logic-v2 | Review these logical expressions:
A. (not ((not (1905 is a leap year.)) and (not not (Lightning never strikes the same place twice.)))) or (((not not (((Uranus is the 8th planet from the Sun.) or (A spider has 8 legs.)) or (The currency of Nigeria is the Naira.))) or ((not not (The currency of Saudi Arabia is the Yen.... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 91641286,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. (not ((not (1905 is a leap year.)) ... |
logic-v2 | Evaluate each expression below:
A. not not (not not (not ((((Oxygen is a gas at room temperature.) or (2015 is a leap year.)) and (A day on Earth is 24 hours.)) and (The Titanic sank occurred in 1912.))))
B. not not ((not ((((Light travels faster than sound.) and ((1 ** 1) == (8 * 3 + -4 * -1))) and ((-1 + -1) < (-2 *... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 12044598,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not not (not not (not ((((Oxygen is a gas a... |
logic-v2 | Examine these expressions:
A. not not (not (not ((The chemical symbol for Magnesium is Mg.) or (Neptune is the 3rd planet from the Sun.))))
B. not (not (((The chemical symbol for Gold is Cr.) or (((The chemical symbol for Silver is Au.) and (Antarctica is the coldest continent.)) or ((A frog has 4 legs.) or (The Pacif... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 98308217,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not (not (not ((The chemical symbol for Ma... |
logic-v2 | Consider the following logical expressions:
A. (not not ((not ((The Great Fire of London occurred in 1666.) and ((The 2008 Olympics were held in London.) or ((-11 - -6) >= (-7 + -19))))) and ((The square root of 4 is 2.) or ((4 ** 3) < (50 % 10)) or (((India is in Asia.) and (605 is a Fibonacci number.)) and (The 1936... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 27661369,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (not not ((not ((The Great Fi... |
logic-v2 | 考虑以下布尔表达式：
A. ((not not (not not (((-17 - -14) < (8 - -4) < (-18 * 0)) or ((-7 * -13) != (3 ** 2))))) and ((((第二次世界大战开始发生在1939年。) and ((-6 * -4 * 0 * 3) != (19 * 12))) or (((-12 + 11) != (17 + 19)) or ((6 % 8) <= (3 ** 2)))) and ((-8 * 15) == (12 + 10)))) and ((not not ((人类有2条腿。) or (not not ((-1 - -19) < (0 * -9 - 9 ... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 40147341,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((not not (not not (((-17 - -14) < (8 - -4) < (-18 * 0)) or ((... |
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