env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Analyze these boolean expressions:
A. not (not not (((not not (not not (Mars is the closest planet to the Sun.))) or (((-19 * 5) >= (-5 - 6)) or (323 is a Fibonacci number.)) or ((A bear is a reptile.) and (((39 % 1) > (-15 * 7)) and ((-9 - 7) > (-3 * 10 + 2 * -3))))) and (not not (not ((3 * -6 * 3 * -8) == (9 % 9))))... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 68782956,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not (not not (((not not (not not (Ma... |
logic-v2 | Study the following logical statements:
A. not ((not not (((not not (The currency of Russia is the Naira.)) and (not ((-6 - -18) < (6 * 1 + 1 * -4) < (10 * 6 + 10 * 6)))) or (not not (Steam is a gas at room temperature.)) or (The currency of Thailand is the Baht.))) and ((((not not ((-5 * -2 * 10 * -7) > (-10 * 3 - -5... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 39877309,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not ((not not (((not not (The cur... |
logic-v2 | Below are several boolean expressions:
A. not not (not (not not ((not not (((-14 * -7) > (6 - 5)) and (Antarctica is the coldest continent.))) and (not ((54 is divisible by 8.) or ((2 * -8) != (-6 * 10 * -2 * -10)))))))
B. not not (not not (not not ((((Humans have five fingers on each hand.) and ((-1 + 16) == (-15 - -... | {
"game_data": {
"answer": "A,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 31276790,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not (not (not not ((not not ((... |
logic-v2 | Analyze these boolean expressions:
A. ((-5 + -19) > (7 * -6 * 9 * 3)) or (((7 * 9 + -6 * 5) <= (3 ** 3) <= (-15 + -9)) or ((0 - 13) > (-12 - -18)))
B. ((9 * 9) < (-17 - 17) < (2 ** 1)) or ((The Titanic sank occurred in 1912.) and ((-10 * -12) > (5 * 7 - 10 * 0)))
C. not (not not ((-1 + -6) <= (-12 * 4)))
D. Canada is ... | {
"game_data": {
"answer": "A,B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 16588539,
"true_count": 6
},
"question": "Analyze these boolean expressions:\n\nA. ((-5 + -19) > (7 * -6 * 9 * 3)) ... |
logic-v2 | Evaluate each expression below:
A. ((18 * -17) >= (-5 - -16)) or (not not (A salmon is an insect.))
B. ((-8 * 11) != (-7 * -8 * 4 * -2)) and (((Neptune is the 1st planet from the Sun.) or (There are 30 days in November.)) or ((-8 * 8) != (-7 * -5 - -1 * -9)))
C. (((Morocco is in Africa.) and ((1 - 3) == (1 + -15))) an... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 42933412,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. ((18 * -17) >= (-5 - -16)) or (not not (A s... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((not not (((3 * -6 * -7 * -8) <= (-9 * -4 - 8 * 7)) and (The capital of Argentina is Copenhagen.))) or (not (((-5 * -3 * -2 * 5) > (50 % 2)) and (The currency of India is the Pound.)))) and (not not (((Mars is the 4th planet from the Sun.) or ((-20 + 4) >= (49 % 3)))... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 528789,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((not not (((3 * -6 * -7 ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((((7 * 8 * -4 * 0) >= (-17 + 17)) and ((2 * 7) >= (3 ** 1))) or (not not ((not (A fish has 0 legs.)) or (not not (A mouse is a mammal.))))) or (not not (((Copper is a gas at room temperature.) or (((11 + 18) <= (2 ** 3)) or ((8 - -6) > (... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 14872797,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Examine these expressions:
A. not (((not not ((((10 + 13) < (16 - 10)) and ((-4 * -9 - 2 * -3) != (3 * 1 - 8 * 6))) and (The 1896 Olympics were held in Antwerp.))) and (not not (((18 - 9) != (14 - 11)) or ((8 * 1 - -1 * -5) >= (7 * -10 - 2 * 9)))) and (not (not (not not ((-14 - 19) > (34 % 5)))))) and (not not (not ((... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 80270143,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not (((not not ((((10 + 13) < (16 - 10)) and ((-... |
logic-v2 | Examine these expressions:
A. not (not (not not ((((The currency of Philippines is the Peso.) or ((15 + 17) >= (-8 + -15))) and ((The Sun revolves around the Earth.) and (The capital of Saudi Arabia is Riyadh.))) and ((The currency of Saudi Arabia is the Riyal.) or (The 1900 Olympics were held in Beijing.)) and (not n... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 96070474,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not (not (not not ((((The currency of Philippi... |
logic-v2 | 研究以下逻辑语句：
A. not not ((not (瑞典的首都是斯德哥尔摩。)) or (水在海平面上的沸点是100摄氏度。))
B. (((蟑螂是昆虫。) and (2004年奥运会在雅典举办。)) or ((澳大利亚位于大洋洲。) and ((14 + -3) < (1 ** 3) < (-10 * -6)))) or ((锰的化学符号是Si。) and ((阿根廷位于南美洲。) or (金星是距离太阳第2近的行星。)))
C. (not not (第二次世界大战开始发生在1939年。)) or (((1957年是闰年。) or (人类首次登月发生在1969年。)) or ((太平洋是最大的海洋。) and (智利的货币是... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 69412677,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. not not ((not (瑞典的首都是斯德哥尔摩。)) or (水在海平面上的沸点是100摄氏度。))\nB. (((蟑螂... |
logic-v2 | Study the following logical statements:
A. ((not not ((11 + 0) != (-16 - -16))) or (not not (The 1920 Olympics were held in Rio de Janeiro.))) and ((((-11 + -8) < (9 * -8) < (-3 * -5 * 6 * -4)) or ((Indonesia is in Europe.) and (The 1956 Olympics were held in Melbourne.)) or ((((37 % 5) != (5 ** 1)) or (Earth is the 6... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 30399432,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. ((not not ((11 + 0) != (-16 - -16))... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (not not (((2 - -14) > (6 * 11)) or (The 1964 Olympics were held in Tokyo.)))) and (not not (not not ((24 % 3) != (4 - 0))))
B. not ((((((17 - 5) >= (5 * -4 - 0 * 5)) or ((18 % 2) < (6 - 14))) and (not ((3 ** 1) > (-5 - 6)))) and ((R... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 23192952,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 审视以下逻辑表达式：
A. not ((((狗有4条腿。) and ((金在常温下是固体。) and (人类每只手有五个手指。))) or (not (哥伦比亚的首都是波哥大。)) or (((7 + 9) < (0 * 7 - 0 * 4) < (9 - 7)) and (not (海王星是距离太阳第8近的行星。)))) or (not not (((-10 + -17) == (-9 * -10 * 7 * 4)) or ((-18 * 11) < (-1 * -10)))) or (not not (水蒸气在常温下是气体。)))
B. ((not not (not not (菲律宾的货币是比索。))) and (((埃及位于... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 51089324,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not ((((狗有4条腿。) and ((金在常温下是固体。) and (人类每只手有五个手指。))) or (not (哥伦比亚... |
logic-v2 | 审视以下逻辑表达式：
A. (not (not (镁的化学符号是Si。))) or ((((0 * 0 - -9 * -4) >= (1 ** 3)) or (火星是距离太阳最近的行星。) or ((not ((-6 * -10) <= (4 ** 2) <= (-3 * -6 - -8 * -8))) or (伦敦大火发生在1667年。))) or ((not (not (氧的化学符号是S。))) and ((地球是距离太阳第3近的行星。) or (((-3 + 14) != (-6 + 17)) or ((-6 * 19) > (15 * 1))))))
B. (not not (not not (企鹅能飞翔。))) and ... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 92151586,
"true_count": 5
},
"question": "审视以下逻辑表达式：\n\nA. (not (not (镁的化学符号是Si。))) or ((((0 * 0 - -9 * -4) >= (1 ** ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not not (((not (The 1972 Olympics were held in Los Angeles.)) or ((Carbon dioxide is a gas at room temperature.) and ((19 * 8) != (-2 - 13)))) or (((26 % 10) >= (5 ** 3)) or ((2 * 7 + 0 * -8) == (7 * -8 - 6 * 6)))))
B. not not (((7 is a perfect square.) or (no... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 35431044,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not not (((not ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not not ((not not ((-20 * -19) <= (-6 - 9) <= (-10 + -5))) and (((-3 * 17) != (-12 * 0)) and ((-4 * -7 * 0 * 6) != (-15 * 2)))))
B. ((((The human body has 206 bones.) or (There are 31 days in March.)) or (not not ((15 - 13) < (1 + 5) < (-19 * 6)))) or (((4 - 6... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 64240058,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not not ((not... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((The Great Fire of London occurred in 1666.) and (765 is a Fibonacci number.)) or (not not ((((-7 * -13) != (-17 + 17)) and (The capital of Norway is Oslo.)) or ((-1 + -15) >= (-19 * -18))))
B. (not (((2098 is a leap year.) or (Egypt is in South America.)) and ((-13 *... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 676747,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((The Great Fire of London occur... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not not (not ((-5 * -7 + 4 * -5) <= (4 + 16))))
B. not ((15 - 6) >= (-2 * -7 + 6 * -2))
C. ((10 + -5) >= (-7 * 13)) and ((3 is less than or equal to 72.) or (New Zealand is in Oceania.)) and (World War II ended occurred in 1945.)
D. (A ant has 8 legs.) or (not ((-... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 59110882,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not not (not ((-5 * -7 ... |
logic-v2 | Examine these expressions:
A. Mercury is a liquid at room temperature.
B. (((2 * 6 - 4 * -3) < (-7 - 16) < (5 * 19)) and (Colombia is in South America.)) and (The currency of Singapore is the Peso.)
C. A dog is a mammal.
D. (not not ((2 ** 1) > (4 ** 2))) and (not not ((-18 - -13) != (-20 - 9)))
E. A crab has 10 legs.... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 8755468,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. Mercury is a liquid at room temperature.\nB. ((... |
logic-v2 | 考虑以下布尔表达式：
A. ((((-6 + -6) < (4 ** 1)) or ((not ((12 + 14) >= (-10 * -11))) or (not (2094年是闰年。)))) and (not not (69是偶数。))) and (not ((((蝴蝶有6条腿。) and (十月有29天。)) and ((新加坡的首都是新加坡。) or ((10 * 4) < (18 % 1) < (1 - 19)))) or ((木头在常温下是气体。) and (金在常温下是液体。)) or (not (not ((7 * -6 * -10 * 6) <= (4 ** 1))))))
B. (not not ((((氦气... | {
"game_data": {
"answer": "B,C,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 61868730,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. ((((-6 + -6) < (4 ** 1)) or ((not ((12 + 14) >= (-10 * -11... |
logic-v2 | Evaluate each expression below:
A. Antarctica is the coldest continent.
B. ((not not (The chemical symbol for Uranium is Si.)) and ((not not (The chemical symbol for Hydrogen is N.)) and (not not ((-4 * -14) <= (-3 * 3 * -1 * -4) <= (-4 * 8 - -2 * 8))))) and ((not not (The chemical symbol for Gold is Au.)) or (((The B... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 41804753,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. Antarctica is the coldest continent.\nB. ((no... |
logic-v2 | 下面是几个布尔表达式：
A. (not ((地球上一天是24小时。) or ((匈牙利的货币是福林。) and (法国大革命开始发生在1789年。)) or ((2 ** 1) > (-20 + -3)))) and ((not not ((-8 * 6 * 3 * 1) < (-15 + 10))) or (((2008年奥运会在北京举办。) and (93能被4整除。)) or (118是奇数。))) and ((((-18 - 18) >= (13 - 16)) and (not not (((29 % 4) < (-10 * -2 - 2 * -5)) and (水在常温下是液体。)))) and (南极洲是最冷的大陆。)... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 4142511,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (not ((地球上一天是24小时。) or ((匈牙利的货币是福林。) and (法国大革命开始发生在1789年。)) o... |
logic-v2 | 给定以下布尔表达式：
A. not (not not (not (not not (((-13 + 10) != (2 ** 2)) and ((人体有206块骨头。) and (秘鲁位于南美洲。))))))
B. not not (not ((((-18 + -16) <= (3 * 20)) and (金在常温下是固体。)) and (not not (((-13 - 12) > (4 + -13)) or (870是斐波那契数。))) and (((not not (人类有三个肺。)) or ((木星是距离太阳第3近的行星。) and ((1 ** 3) >= (8 * 0 - -1 * 5)))) and ((((45 %... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 8834976,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. not (not not (not (not not (((-13 + 10) != (2 ** 2)) and ((... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((not not ((11 - 12) == (-14 - 19))) or ((((-7 * 4) <= (4 ** 3)) and (Diamond is a solid at room temperature.)) and (Copper is a solid at room temperature.)))
B. not (not (A horse has 100 legs.))
C. (((((-9 * 6 * -7 * 9) >= (-20 * 16)) and ((-3 * -6 + 10 * 0) <= (1... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 92456725,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((not not ((11 - 12) == ... |
logic-v2 | 考虑以下布尔表达式：
A. not not (not not (not not ((4 + -12) < (4 ** 1))))
B. ((not ((5 - 5) == (-19 * -16))) and (not ((5 ** 1) > (11 - -11)))) or (((((-9 * 19) <= (-9 * 9 * 8 * 8)) and ((-17 * 5) < (-12 - -10))) or (2012年奥运会在伦敦举办。)) and ((not not (895是斐波那契数。)) or ((-3 * -18) <= (-7 + -20) <= (-6 * -1 * 5 * 1)))) or (((水蒸气在常温下... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 20646316,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. not not (not not (not not ((4 + -12) < (4 ** 1))))\nB. ((not... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not ((((-4 - -8) >= (-10 + -11)) or (水在常温下是液体。)) and (not not (芬兰的首都是赫尔辛基。)))) and (((not not (水星是距离太阳第1近的行星。)) or (not (印度的货币是印尼盾。))) and (((法国位于南极洲。) or (伦敦大火发生在1666年。)) or ((汞在常温下是液体。) and ((2 * 0 - 9 * 8) == (-4 * -6 * 0 * -2)))))) or (not not (not (((太平洋是最大的海洋。) or ((5 * 2 + 9 * -8) == (-18 *... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 21840037,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. ((not not ((((-4 - -8) >= (-10 + -11)) or (水在常温下是液体。)) and (not... |
logic-v2 | Review these logical expressions:
A. (not (The 1968 Olympics were held in Rome.)) and (((18 * -18) > (20 - -13)) and ((20 + -17) > (7 * 10 * -3 * -8)))
B. (1900 is a leap year.) or ((The chemical symbol for Aluminum is Hg.) and (The currency of Peru is the Sol.))
C. (-14 + 15) <= (-4 * 1 - -1 * -5)
D. 33 is a prime nu... | {
"game_data": {
"answer": "F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 14464511,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not (The 1968 Olympics were held in Rome... |
logic-v2 | 评估以下每个表达式：
A. not (((((((-8 * -5 - 5 * 2) <= (40 % 3)) or (43小于等于96。)) and (((15 + -7) < (9 - 13) < (8 % 3)) and ((-4 * -10 - 10 * 6) >= (17 + 2)))) and ((not (锌的化学符号是Ag。)) or (((18 + 4) == (-8 + 8)) and (金在常温下是固体。)))) and (柏林墙倒塌发生在1987年。) and (not not ((0 * 8 * -8 * 3) >= (-9 + -14)))) and ((not (not (((-16 * -3) <= ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 38319009,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not (((((((-8 * -5 - 5 * 2) <= (40 % 3)) or (43小于等于96。)) and (((... |
logic-v2 | 评估以下每个表达式：
A. (1 * -18) > (9 - -19)
B. (3 ** 2) == (-4 * -8 * 2 * -6)
C. (2016年奥运会在里约热内卢举办。) and ((20 + -12) <= (-2 + -13))
D. ((1992年奥运会在巴塞罗那举办。) or ((13 + 2) == (-11 * -15))) or (((-15 * 16) < (-5 * 2 + 5 * 3) < (50 % 6)) and (沙特阿拉伯的首都是利雅得。))
E. 第一次世界大战开始发生在1915年。
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 96086447,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (1 * -18) > (9 - -19)\nB. (3 ** 2) == (-4 * -8 * 2 * -6)\nC. (2016... |
logic-v2 | 研究以下逻辑语句：
A. not not (((瑞士的货币是英镑。) and (冰的密度比液态水小。)) or (((3 ** 3) > (20 * -14)) or (英国的货币是英镑。)))
B. ((-11 - 20) > (-2 * 3 * -5 * 2)) or ((((0 - 12) == (3 ** 1)) or ((19 + -8) > (2 ** 2))) and (((-12 * 2) <= (-6 * 20)) and (蝴蝶是昆虫。)))
C. (((17 - 11) > (-9 + -1)) or ((镁的化学符号是Si。) and (蚂蚁有6条腿。))) or ((-7 * -5 + 10 * -4) ... | {
"game_data": {
"answer": "A,C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 25295177,
"true_count": 6
},
"question": "研究以下逻辑语句：\n\nA. not not (((瑞士的货币是英镑。) and (冰的密度比液态水小。)) or (((3 ** 3) > (... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((not ((((-1 * -5 + -4 * 2) > (-4 - -18)) or (声音在真空中传播更快。)) or (((-3 + 8) > (27 % 5)) and ((-7 + -6) < (8 * -1 + -5 * -3))))) or ((人类首次登月发生在1969年。) and ((-7 + 20) >= (26 % 1)))) or (not ((月球绕地球运转。) and ((-9 * 4) > (-6 - 7)) and ((((-3 - 12) != (-16 - 20)) and (月球自己发光。)) or (not ((13 + 1) < (-12 + 1... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 64066978,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((not ((((-1 * -5 + -4 * 2) > (-4 - -18)) or (声音在真空中传播更快。)... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (马有4条腿。)
B. ((3 ** 3) != (12 * -2)) and (not not (第一次世界大战结束发生在1918年。))
C. not not ((8 * 5 * 5 * -1) != (0 * -5 * 7 * 7))
找出所有为 True 的表达式。在 \boxed{} 中给出答案，用逗号分隔。 | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 69793489,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (马有4条腿。)\nB. ((3 ** 3) != (12 * -2)) and (not no... |
logic-v2 | 评估以下每个表达式：
A. (((((-6 - -3) == (-12 - 5)) or ((26 % 3) > (19 - 18))) or (not not (南非的货币是越南盾。))) and (((汞在常温下是液体。) or ((-6 - -10) < (-3 - 0))) or ((2020年奥运会在东京举办。) and (越南位于亚洲。)))) and (not ((-20 - -3) >= (-20 - -15)))
B. (((六月有30天。) and ((螃蟹有10条腿。) and (四月有29天。))) and ((((-14 - -14) <= (-4 + -4)) and (钴的化学符号是Au。)) or ... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 58806297,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (((((-6 - -3) == (-12 - 5)) or ((26 % 3) > (19 - 18))) or (n... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((not not ((((Morocco is in Africa.) and (The 1996 Olympics were held in Atlanta.)) or ((10 * 7 * 6 * 8) == (45 % 5))) or (The Titanic sank occurred in 1912.))) and (not not ((((96 is a prime number.) and (The 2012 Olympics were held ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 69616605,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Review these logical expressions:
A. not ((not not (((19 % 7) < (-7 * 10 * -2 * 1) < (2 + -7)) and (((1 ** 1) < (-12 - -18)) or (There are 31 days in July.)))) or ((not ((0 * 7 - 8 * 5) <= (-8 * -2 - 2 * 4))) and ((17 * -1) == (-13 + -3)) and (The chemical symbol for Chromium is Cr.)))
B. not ((not not (There are 29 d... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 78059401,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not ((not not (((19 % 7) < (-7 * 10 * -... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (((((36 % 5) == (20 + -12)) or ((挪威的首都是奥斯陆。) and ((11 * 2) == (12 - -1)))) or ((((46 % 2) <= (17 + -5) <= (3 ** 1)) and (土星是距离太阳第6近的行星。)) and (not not ((2 ** 2) > (-16 + -2))))) or (((5 ** 3) == (-5 * 4 - -10 * 0)) or ((第一部iPhone发布发生在2008年。) or (丹麦的首都是哥本哈根。)) or ((((11 + -3) < (20 - 11)) and (植... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 52719575,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (((((36 % 5) == (20 + -12)) or ((挪威的首都是奥斯陆。) and ((11 * ... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((猫有4条腿。) or (1900年奥运会在巴黎举办。))
B. not (墨西哥位于北美洲。)
C. 金的化学符号是Ti。
D. not not (((0 * -20) != (-5 + 14)) or (1920年奥运会在莫斯科举办。))
E. ((酒精在常温下是气体。) or (33是偶数。)) or (572是斐波那契数。)
F. 天王星是距离太阳第8近的行星。
G. 荷兰的首都是阿姆斯特丹。
H. (-2 * 10) <= (-7 * -9 * -5 * -7)
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "A,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 82995462,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not not ((猫有4条腿。) or (1900年奥运会在巴黎举办。))\nB. not (墨西哥位于北美洲。)\n... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (((not not ((not ((33 % 10) < (15 - -11))) or (not not ((5 * -6 + -1 * -4) != (4 - -2))))) and ((not not (not (The capital of Peru is Lima.))) or (A fish has 8 legs.) or (not ((The chemical symbol for Uranium is U.) or (Spain is in Eu... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 51773910,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not (((6 * -16) <= (-1 * 7) <= (23 % 10)) or (((-20 * -8) < (5 ** 2)) or ((4 * 3) > (0 * 10 + 2 * 4))))
B. ((not not ((37 % 1) <= (3 * 6) <= (8 + -16))) or (((3 * -2 * 4 * -4) > (1 * -9 - 9 * 6)) and (加拿大位于大洋洲。))) and (((天王星是距离太阳第7近的行星。) and ((12 - -2) >= (1 * -7 + -7 * -4))) and ((19能被5整除... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 5486807,
"true_count": 3
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not (((6 * -16) <= (-1 * 7) <= (23 % 10)) or (((... |
logic-v2 | 检验这些表达式：
A. not ((1 - -13) <= (-6 * -13))
B. ((1928年奥运会在亚特兰大举办。) and (1979年是闰年。)) and ((钠的化学符号是O。) and ((-11 * 3) >= (1 + 4)))
C. 1920年奥运会在安特卫普举办。
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": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 44243995,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not ((1 - -13) <= (-6 * -13))\nB. ((1928年奥运会在亚特兰大举办。) and (1979年是闰年。... |
logic-v2 | 给定以下布尔表达式：
A. not not (not not ((not ((((3 * -9 + -10 * 10) != (2 ** 3)) and (阿根廷位于大洋洲。)) or ((6 * 2 + -10 * -1) <= (0 * -7)))) or ((not ((135是偶数。) or (硅的化学符号是Si。))) or ((27 % 4) <= (-9 + -9)) or ((龙虾有10条腿。) and (not (二月有29天。))))))
B. not not ((not (not (not ((地球是距离太阳第2近的行星。) or (蜥蜴是鸟类。))))) and ((((-6 * -2 * 2 * -7) ... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 54241164,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. not not (not not ((not ((((3 * -9 + -10 * 10) != (2 ** 3))... |
logic-v2 | Review these logical expressions:
A. ((not not (((21 % 7) != (20 + -9)) and ((The currency of Australia is the Krona.) or (197 is an even number.)))) or ((((The chemical symbol for Lead is Pb.) and ((4 ** 3) != (4 * 3))) or (not ((3 ** 3) == (-17 - 10)))) and (not (1912 is a leap year.)) and ((21 % 10) >= (21 % 1)))) ... | {
"game_data": {
"answer": "B,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 89547472,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. ((not not (((21 % 7) != (20 + -9)) an... |
logic-v2 | 给定以下布尔表达式：
A. (not not (not (((-3 + 13) != (0 * -8 + -7 * -1)) or ((2 ** 1) <= (7 * 9 - 7 * 2))))) or (((委内瑞拉的首都是加拉加斯。) or (铝的化学符号是Al。)) and (not ((4 * -4 - 1 * 1) > (7 * -2 * -9 * 5)))) or (((2100年是闰年。) or (not ((37 % 3) <= (5 ** 2) <= (-11 - -7)))) or (((-19 - -7) <= (20 % 1) <= (1 ** 2)) or (阿根廷位于大洋洲。)) or ((((10 %... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 81450268,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not not (not (((-3 + 13) != (0 * -8 + -7 * -1)) or ((2 ** 1) <=... |
logic-v2 | 给定以下布尔表达式：
A. (not not (((not not ((16 % 10) != (45 % 7))) or (鲨鱼是哺乳动物。)) or (((5 ** 3) > (3 * 3)) and (氯的化学符号是H。)) or ((11 * 13) != (-8 - 13)))) or ((((50 % 3) >= (-12 + 11)) and (((闪电不会两次击中同一个地方。) or (冰的密度比液态水小。)) and ((印度位于亚洲。) or ((6 % 9) < (2 ** 2))))) and (水在常温下是液体。) and (not not ((莱特兄弟首次飞行发生在1903年。) or (((7 + 8... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 30255840,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not not (((not not ((16 % 10) != (45 % 7))) or (鲨鱼是哺乳动物。)) or (((... |
logic-v2 | 审视以下逻辑表达式：
A. ((-7 * 9 + 8 * 3) > (-6 + 16)) or (((64的平方根是8。) or ((-18 * -3) == (-7 - 20))) or ((2032年是闰年。) and ((2 - 8) != (26 % 1))))
B. (not ((海王星是距离太阳第5近的行星。) or ((0 - 11) <= (-18 - -12)))) or ((not (汞在常温下是气体。)) or ((木星是距离太阳第5近的行星。) or (爱尔兰的首都是曼谷。)))
C. (德国位于大洋洲。) and (((15 * 0) <= (-10 * 15) <= (-7 * 11)) and ((2... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 75708871,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((-7 * 9 + 8 * 3) > (-6 + 16)) or (((64的平方根是8。) or ((-18 * -3)... |
logic-v2 | Consider the following logical expressions:
A. ((not not (((Silver is a gas at room temperature.) or (South Korea is in Antarctica.)) and ((Oil is a liquid at room temperature.) or (The currency of Denmark is the Krone.)))) or (not (not (((11 + 10) != (0 * 14)) or ((-17 + 3) == (12 + -2)))))) and ((((-6 - 16) >= (-4 -... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 36112883,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. ((not not (((Silver is a gas at... |
logic-v2 | 分析以下逻辑表达式：
A. not (((not not (((汞在常温下是液体。) and (三文鱼是鱼类。)) and (((-11 * -8) >= (-13 * -20)) or ((-16 - -14) < (7 * -1 * -1 * 0) < (-15 * -6))))) and (((摩洛哥位于南极洲。) and ((-20 * 19) == (-1 - 14))) or ((3 + 6) < (-9 * 13)) or (汞的化学符号是Hg。))) and (((not not ((地球是距离太阳第2近的行星。) and (钛的化学符号是He。))) and (((-3 * 7 + -4 * -10) >= (-... | {
"game_data": {
"answer": "A,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 17036332,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not (((not not (((汞在常温下是液体。) and (三文鱼是鱼类。)) and (((-11 * -8)... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((((((4 ** 1) != (13 + 13)) and ((4 + -3) == (3 * -10 - 1 * 10))) and ((-2 + 20) <= (15 - 4))) or (not (A cow has 4 legs.)) or (The Moon orbits the Earth.)) or (not (not not ((The currency of South Africa is the Rand.) and (111 is an ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 38042658,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Given the following boolean expressions:
A. not (Earth is the 3rd planet from the Sun.)
B. not ((2050 is a leap year.) or (South Africa is in Africa.))
C. (((-9 * 8 * 3 * 1) > (9 - 18)) or (1906 is a leap year.)) and (The currency of South Africa is the Dollar.)
D. ((-9 * 3 - 8 * 9) < (14 * -10)) or (((19 - -5) < (-17... | {
"game_data": {
"answer": "E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 80197507,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not (Earth is the 3rd planet from ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (1 * -16) <= (-5 * 7)
B. The capital of Malaysia is Nairobi.
C. (10 - -8) < (-12 * -8)
D. Egypt is in Africa.
E. 80 is greater than 98.
F. (not ((5 ** 3) > (15 - -14))) and ((147 is a perfect square.) and ((-10 * -10 * -2 * -10) >= (2 - -20)))
G. not ((The 1992 Olympic... | {
"game_data": {
"answer": "C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 25061799,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (1 * -16) <= (-5 * 7)\nB. ... |
logic-v2 | Examine these expressions:
A. ((not not (Egypt is in South America.)) or (The currency of Saudi Arabia is the Riyal.)) and (((4 * 8) < (12 * -11) < (16 - -19)) or (Chile is in South America.)) and ((18 - 0) <= (-1 * 10 * 1 * 6) <= (5 - -15))
B. (There are 29 days in April.) or (((The 2008 Olympics were held in Beijing... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 23276919,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. ((not not (Egypt is in South America.)) or (The cu... |
logic-v2 | 考虑以下布尔表达式：
A. ((柏林墙倒塌发生在1984年。) or (((14 - -15) != (20 * 3)) and ((1 * -4 + 9 * -4) < (5 ** 1) < (0 + -1)))) or ((((-7 - 8) <= (-2 + -19) <= (1 * 2)) and (月球自己发光。)) and (南非的货币是兰特。))
B. (((十月有30天。) and ((12 % 10) >= (-13 * 11))) and ((汞的化学符号是Hg。) and ((5 - -6) == (-14 + 20)))) or (蚂蚁有100条腿。) or (((13 + -1) <= (8 % 3) <... | {
"game_data": {
"answer": "C,D,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 78740120,
"true_count": 6
},
"question": "考虑以下布尔表达式：\n\nA. ((柏林墙倒塌发生在1984年。) or (((14 - -15) != (20 * 3)) and ((1 *... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (金鱼是昆虫。) or (317是完全平方数。)
B. ((匈牙利的首都是内罗毕。) and (not ((16 - 5) >= (11 % 9)))) or ((4 ** 1) != (2 ** 1))
C. ((((1 % 10) <= (-3 - -9)) or ((0 * 0 - 10 * -5) >= (-18 - 8))) or (not ((16 + 15) > (4 ** 1)))) or (not not (((-6 + 2) == (6 * -5 + 3 * 2)) and ((3 * -8) <= (-5 + -6))))
D. (not not (not ((-6 *... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 67142189,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (金鱼是昆虫。) or (317是完全平方数。)\nB. ((匈牙利的首都是内罗毕。) and (not (... |
logic-v2 | 研究以下逻辑语句：
A. ((-19 * -1) < (3 ** 3)) or (not ((2004年奥运会在雅典举办。) and (火星是距离太阳第3近的行星。)))
B. (((1896年奥运会在里约热内卢举办。) or ((7 + 17) < (2 * 7 + -8 * 1))) and ((80能被6整除。) and ((-10 * 12) <= (2 + 16)))) or ((九月有30天。) or (((10 - 12) >= (-10 * -1 - -5 * -8)) and ((-3 + -19) >= (-2 * 1 * -3 * -4))))
C. (((哥伦布到达美洲发生在1482年。) or (2004... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 48448234,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. ((-19 * -1) < (3 ** 3)) or (not ((2004年奥运会在雅典举办。) and (火星是距离太阳第3近... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not (((The capital of Ireland is Dublin.) and (Antarctica is the coldest continent.)) and (not ((2 ** 3) > (6 - -18))))) and ((The chemical symbol for Platinum is Au.) or (not ((The Titanic sank occurred in 1912.) or ((13 % 8) <= (6 * 6 - 3 * 4) <= (3 ** 2)))))
B.... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 33651234,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not (((The capital of... |
logic-v2 | Below are several boolean expressions:
A. not (((not ((The 2004 Olympics were held in Paris.) and (A lobster has 6 legs.))) or ((((-5 * -7 + -9 * 7) != (11 * -19)) and (Carbon dioxide is a solid at room temperature.)) or (not not (Saturn is the 3rd planet from the Sun.)))) and (((The currency of India is the Rupee.) a... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 95402754,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not (((not ((The 2004 Olympics wer... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not ((((螃蟹有10条腿。) and ((2 ** 3) < (-3 * -8 + -2 * -6))) and ((92是质数。) and ((((8 * -8) < (-15 + -2) < (4 ** 3)) or (油在常温下是液体。)) and (现代奥运会首届举办发生在1896年。)))) or ((not ((海王星是距离太阳第4近的行星。) and (((17 + -7) <= (6 + -20)) and ((0 + 2) < (-6 * -17))))) or ((((18 + 8) > (-20 - 4)) and (猫有4条腿。)) and (... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 13415283,
"true_count": 3
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not ((((螃蟹有10条腿。) and ((2 ** 3) < (-3 * -8 + -2... |
logic-v2 | 考虑以下布尔表达式：
A. not (((10 + -16) <= (13 - -18) <= (-18 + 6)) or ((铬的化学符号是Cr。) or ((4 ** 2) == (2 % 8))))
B. not (((1952年是闰年。) and ((0 * -1 * 2 * 2) != (5 % 7))) or ((3 * 9 - 6 * -3) <= (-16 + -15)))
C. ((太平洋是最大的海洋。) and ((鲨鱼是哺乳动物。) or ((37 % 2) == (-5 - -2)))) or ((4 ** 1) != (2 ** 3))
D. not not (光速约为每秒30万公里。)
E. (not ... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 79879507,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. not (((10 + -16) <= (13 - -18) <= (-18 + 6)) or ((铬的化学符号是Cr。) ... |
logic-v2 | 评估以下每个表达式：
A. (not ((((((7 - -13) > (5 ** 2)) or (锡的化学符号是Sn。)) and (((-10 + -3) <= (7 - -17) <= (19 + 20)) or (铂的化学符号是Pt。))) or ((1976年奥运会在蒙特利尔举办。) or ((36 % 3) >= (12 - -15))) or ((-3 * 10 + 1 * -4) <= (-7 * 6 * 3 * 6) <= (15 % 4))) or ((2 ** 1) > (-13 - -17)) or (not (铝的化学符号是Al。)))) or (not ((not not (not not ((1 + ... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 61647465,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (not ((((((7 - -13) > (5 ** 2)) or (锡的化学符号是Sn。)) and (((-10 + ... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((((not ((新加坡的货币是卢布。) and ((20 + -13) == (4 * -9 + -3 * 5)))) or ((2020年奥运会在巴黎举办。) or ((蛇是爬行动物。) and ((-9 * 16) != (4 * -1 - -1 * -7))))) or (1912年奥运会在斯德哥尔摩举办。) or (((10 - 17) > (5 ** 1)) and (第二次世界大战开始发生在1929年。))) and ((not (((16 * 13) > (47 % 7)) and ((-9 * -4 + -8 * -1) == (4 ** 3)))) or (not ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 88070532,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not ((((not ((新加坡的货币是卢布。) and ((20 + -13) == (4 * -9 + -3 * ... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not (((4 + 2) < (-9 - -7)) and (火星是距离太阳最近的行星。))) or ((not not (not not (((2 * -8) < (-5 - 0)) or ((0 + -1) != (4 - 10))))) or ((((11 + 10) < (10 * 11) < (-18 - 5)) or (氧的化学符号是Au。)) or ((海王星是距离太阳第3近的行星。) and (2031年是闰年。))))) or (not not ((油在常温下是液体。) and (尼日利亚的首都是罗马。))) or ((not not ((((6 % 5) != (1 ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 83675044,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. ((not not (((4 + 2) < (-9 - -7)) and (火星是距离太阳最近的行星。))) or ((not... |
logic-v2 | Below are several boolean expressions:
A. (not not ((not ((The chemical symbol for Neon is Mn.) or (The chemical symbol for Zinc is Zn.))) or ((-15 * -17) != (-17 * -6)))) and (not not (((The chemical symbol for Oxygen is O.) or (Uranus is the 7th planet from the Sun.)) and ((Diamonds are made of carbon.) and (The squ... | {
"game_data": {
"answer": "A,B,C,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 69785359,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. (not not ((not ((The chemical ... |
logic-v2 | 检验这些表达式：
A. not not ((not not ((not ((-5 - -4) <= (41 % 4))) and ((3 ** 1) <= (1 ** 1)))) and (((((5 - -4) >= (5 ** 1)) and ((6 + -19) <= (-5 + -8) <= (5 ** 2))) or ((-4 - 19) > (-19 * -1))) and (((not not (五月有31天。)) or (761是斐波那契数。)) and (not ((铁在常温下是固体。) and ((2 * -11) > (-20 - 5)))))))
B. not not ((not (not (((18 - ... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 4569782,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not not ((not not ((not ((-5 - -4) <= (41 % 4))) and ((3 ** 1) ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not not (冰在常温下是固体。)) or ((-1 + 12) != (1 ** 1))) and (not not (氮气在常温下是气体。))) or (((not (汞的化学符号是Ni。)) and (((16 % 9) < (-3 * 10)) or (第二次世界大战结束发生在1945年。))) or ((((0 * -7) <= (2 * -4 - 4 * 2) <= (4 ** 3)) or ((-4 * -1 * -7 * -2) <= (-1 - 2) <= (11 - 7))) and ((80小于等于78。) and (钠的化学符号是Mg。))))
B. not... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 11522476,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not not (冰在常温下是固体。)) or ((-1 + 12) != (1 ** 1))) and ... |
logic-v2 | Consider the following logical expressions:
A. not (Oxygen is a gas at room temperature.)
B. not ((-6 * -5 + -7 * -4) > (28 % 5))
C. (not (There are 28 days in December.)) and (not (The capital of Singapore is Paris.)) and (((-8 - 3) >= (2 - 14)) and (not not ((32 % 1) <= (-9 + -15) <= (2 ** 3))))
D. ((not not (69 is ... | {
"game_data": {
"answer": "G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 61078477,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not (Oxygen is a gas at room te... |
logic-v2 | Here are some boolean expressions to evaluate:
A. Steam is a liquid at room temperature.
B. not not (not not ((31 % 5) <= (7 * -6 * 7 * -2) <= (7 * -3 - -5 * -4)))
C. not not ((-2 + -20) <= (-20 - 10) <= (3 ** 3))
D. (A human has 2 legs.) and (((4 % 3) != (18 + -12)) or (The currency of Mexico is the Peso.))
E. (not n... | {
"game_data": {
"answer": "D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 30073717,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. Steam is a liquid at room ... |
logic-v2 | Analyze these boolean expressions:
A. The capital of Canada is Ottawa.
B. (((18 * -7) <= (9 + 9) <= (9 + -8)) and ((16 + 1) < (1 ** 1))) and (1972 is a leap year.)
C. (4 ** 3) != (11 * -10)
D. (-9 + -3) <= (-11 - -11) <= (-16 - 15)
E. (-3 * 1) > (-2 * 12)
F. (299 is a perfect square.) or (not (There are 31 days in May... | {
"game_data": {
"answer": "A,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 61070700,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. The capital of Canada is Ottawa.\nB.... |
logic-v2 | Given the following boolean expressions:
A. (not not (The currency of Indonesia is the Peso.)) and ((not not (Sound travels faster in a vacuum.)) or ((The currency of South Africa is the Rand.) or (The capital of Thailand is Paris.)) or ((not ((-1 * 2) < (-9 * 10 - 4 * -8))) and (((1 * 20) < (42 % 6)) or (The Berlin W... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 62145585,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. (not not (The currency of Indonesia ... |
logic-v2 | Evaluate each expression below:
A. (not not ((not ((7 + 11) > (-1 - 15))) and (not (The square root of 1 is 12.)) and (not (not (Humans have five fingers on each hand.))))) or (((((The Earth revolves around the Sun.) or ((5 ** 3) < (30 % 2))) and (((-1 + 3) < (13 * 11)) or (Jupiter is the 4th planet from the Sun.))) a... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 71649158,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. (not not ((not ((7 + 11) > (-1 - 15))) and (n... |
logic-v2 | 审视以下逻辑表达式：
A. (((((钠的化学符号是Na。) and ((-9 + 1) != (2 ** 1))) and ((钠的化学符号是K。) and (1956年奥运会在墨尔本举办。))) and ((((-4 * 18) >= (18 - -19)) and (磷的化学符号是P。)) or ((地球绕太阳运转。) and (14是完全平方数。)))) or (光速约为每秒30万公里。) or ((1959年是闰年。) or ((1 * -5 * -2 * 5) != (3 * 1)))) and (not not (((((22 % 1) < (46 % 2)) or (1980年奥运会在莫斯科举办。)) or ((现... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 46361955,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. (((((钠的化学符号是Na。) and ((-9 + 1) != (2 ** 1))) and ((钠的化学符号是K。... |
logic-v2 | Review these logical expressions:
A. not ((9 - -18) == (19 + 5))
B. (not (The 2000 Olympics were held in Sydney.)) or ((-9 * -19) <= (1 ** 3) <= (43 % 4)) or ((not ((-5 * 17) >= (-16 * -14))) and (((2 - -8) < (-3 * -19)) and (1946 is a leap year.)))
C. not not (((Canada is in Europe.) or (Venus is the 2nd planet from ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 57436835,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not ((9 - -18) == (19 + 5))\nB. (not (The... |
logic-v2 | Analyze these boolean expressions:
A. (The chemical symbol for Lead is Pb.) and ((14 % 3) < (-14 * 3) < (7 * 16))
B. (not not (Lightning never strikes the same place twice.)) or ((There are 31 days in May.) or ((4 * 6) != (4 % 6)))
C. (32 % 6) < (19 * -18)
D. (9 * -2 - -2 * -9) > (-19 - 10)
E. (not (Japan is in Asia.)... | {
"game_data": {
"answer": "B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 97005608,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (The chemical symbol for Lead is Pb.) an... |
logic-v2 | Review these logical expressions:
A. not (not (not ((((7 * -4 - 2 * -1) > (-1 + 14)) or ((-2 - 4) >= (-8 - 4))) and (not not ((-20 + -18) != (-5 - -5))))))
B. not (((Argentina is in South America.) or (The 2024 Olympics were held in Mexico City.) or ((9 * 10 * -10 * 3) > (2 ** 2))) and (((United Kingdom is in Europe.)... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 76848240,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not (not (not ((((7 * -4 - 2 * -1) > (-1 + ... |
logic-v2 | 研究以下逻辑语句：
A. (not (((13 * -20) >= (8 - -19)) and (荷兰的首都是曼谷。))) and (not not ((莱特兄弟首次飞行发生在1913年。) or (((8 - 1) <= (16 + -16) <= (19 * -19)) and ((-2 * -6 + 7 * 0) <= (-16 * 12) <= (5 ** 3)))))
B. (not not ((-7 * -2 * -6 * -6) < (-4 + -13) < (-1 * -7 + -5 * 4))) or (大象是爬行动物。) or (not (not (((-13 - 16) < (-1 * 10)) or (木... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 88211471,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (not (((13 * -20) >= (8 - -19)) and (荷兰的首都是曼谷。))) and (not not ((莱特... |
logic-v2 | Examine these expressions:
A. (17 % 10) > (-10 + -15)
B. Mercury is the 1st planet from the Sun.
C. (World War II began occurred in 1939.) or (not not (Nitrogen is a gas at room temperature.))
D. not ((The square root of 144 is 14.) or (A shark is a fish.))
Which ones are true? List the labels of all true options in ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 26281012,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (17 % 10) > (-10 + -15)\nB. Mercury is the 1st... |
logic-v2 | 评估以下每个表达式：
A. not not (not (not not ((not not (((-7 * 7 * 1 * -6) > (-17 * -14)) and ((20 + 11) > (8 * -16)))) or (((-8 * -13) >= (24 % 4)) and (酒精在常温下是液体。)) or (土星是距离太阳第3近的行星。))))
B. not (((((5 ** 2) < (3 * 4 - -6 * 8)) or (not not (2005年是闰年。)) or (not ((10能被3整除。) or ((-16 * -7) < (2 * 7 + -9 * -3))))) and ((鸡有2条腿。) ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 74585047,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not (not (not not ((not not (((-7 * 7 * 1 * -6) > (-17 * -14))... |
logic-v2 | Review these logical expressions:
A. ((not (1924 is a leap year.)) or (((The human body has 150 bones.) or (2082 is a leap year.)) or (not not ((17 - 10) == (2 ** 2)))) or (not ((((-14 - 4) == (20 % 7)) or (The Titanic sank occurred in 1912.)) or (124 is a perfect square.)))) or (not not ((((13 - -9) != (-6 * 20)) and... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 92741521,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. ((not (1924 is a leap year.)) or (((The hum... |
logic-v2 | Given the following boolean expressions:
A. ((not not ((1 % 4) <= (-12 * -9))) and (not not (The capital of Ireland is Dublin.))) or (((Steam is a solid at room temperature.) or (The chemical symbol for Chlorine is Na.)) or ((Neptune is the 7th planet from the Sun.) and (Saudi Arabia is in Asia.)))
B. not not ((2 * 5 ... | {
"game_data": {
"answer": "A,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 25521547,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. ((not not ((1 % 4) <= (-12 *... |
logic-v2 | 评估以下每个表达式：
A. (((2 * -8 + -3 * -8) == (0 * -10 + 1 * -2)) or ((1 ** 3) <= (2 ** 1) <= (4 * 1))) and ((氢的化学符号是Na。) and ((泰国的首都是马德里。) and ((-19 - -3) == (6 % 4)))) and (((not (地球是距离太阳第8近的行星。)) or (((3 * 17) >= (-3 * 0 + 8 * 3)) or ((-6 * 2 + -7 * -1) != (-18 + 14)))) and (((2 - -15) > (2 * 4 - -5 * -8)) or ((17 * -13) >... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 65418631,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (((2 * -8 + -3 * -8) == (0 * -10 + 1 * -2)) or ((1 ** 3) <= (2 *... |
logic-v2 | 审视以下逻辑表达式：
A. (not not (((not (阿根廷的货币是英镑。)) and (2024年奥运会在墨西哥城举办。)) and (((5 % 4) != (12 * -9)) and (哥伦比亚位于北美洲。)) and (((越南的货币是越南盾。) and (金星是距离太阳第2近的行星。)) and (((-6 - 16) < (18 % 3)) and (哥伦比亚的货币是英镑。))))) and (((100的平方根是8。) and (not (尼日利亚位于非洲。)) and (not not (not not (现代奥运会首届举办发生在1897年。)))) or ((((2 ** 1) <= (-18 + -7... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 96493106,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (not not (((not (阿根廷的货币是英镑。)) and (2024年奥运会在墨西哥城举办。)) and (((5 %... |
logic-v2 | Evaluate each expression below:
A. ((not not (not (((-3 * 5 * 6 * 4) < (0 * 4 - -9 * 2) < (2 * -7 - 10 * -6)) and (The currency of China is the Yuan.)))) or (not (not not (((19 * 9) > (0 + 12)) or (A beetle is a bird.))))) and (not (not not (((1 ** 2) > (-6 - -11)) or (not ((-6 * 4 + -8 * 4) < (2 ** 1) < (18 * -1)))))... | {
"game_data": {
"answer": "B,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 87967542,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. ((not not (not (((-3 * 5 * 6 * 4) < (0 ... |
logic-v2 | Analyze these boolean expressions:
A. (3 - -9) != (1 * -19)
B. ((The 1968 Olympics were held in Mexico City.) or (827 is a Fibonacci number.)) and (The capital of Nigeria is Abuja.)
C. (-17 + -14) < (-18 - -5) < (4 + -10)
D. (The chemical symbol for Nickel is Pt.) or ((The currency of China is the Yuan.) and (Iron is ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 85472483,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (3 - -9) != (1 * -19)\nB. ((The 1968 O... |
logic-v2 | Evaluate each expression below:
A. not ((not not (((-1 + -17) >= (-18 * 8)) and (The 1900 Olympics were held in Tokyo.))) and ((-18 * 19) >= (-17 - -7)))
B. (((7 - 8) <= (-3 * -2 + 6 * 1)) or (not not ((Morocco is in Africa.) or (Silver is a solid at room temperature.)))) and (((4 * 2 + 1 * -9) < (9 + 13)) or ((Air is... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 51605671,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not ((not not (((-1 + -17) >= (-18 * 8)... |
logic-v2 | 检验这些表达式：
A. 1956年奥运会在首尔举办。
B. ((1957年是闰年。) and (新西兰位于南极洲。)) or (((-12 + 19) > (-7 * 17)) or (火星是距离太阳第4近的行星。))
C. not (not (1976年奥运会在蒙特利尔举办。))
D. 蚱蜢是鸟类。
E. (((3 ** 1) > (4 ** 3)) or (鱼有0条腿。)) and (((3 ** 1) < (2 * -9 - 5 * 9)) and (太平洋是最大的海洋。))
F. ((1968年奥运会在墨西哥城举办。) or (埃及位于非洲。)) and ((天王星是距离太阳第8近的行星。) or (鬣蜥是爬行动物。))
... | {
"game_data": {
"answer": "B,C,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 58319192,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. 1956年奥运会在首尔举办。\nB. ((1957年是闰年。) and (新西兰位于南极洲。)) or (((-12 + 1... |
logic-v2 | Review these logical expressions:
A. not (not (((9 * -8 - -4 * 8) == (10 * -9)) or (Lightning never strikes the same place twice.)))
B. (Diamond is a solid at room temperature.) and ((-19 - 7) == (-2 * -2 * 9 * 8))
C. ((A human has 8 legs.) or ((-5 - 18) != (19 + 18))) and (not not ((The Pacific Ocean is the largest o... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 22804127,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not (not (((9 * -8 - -4 * 8) == (10 * -... |
logic-v2 | 检验这些表达式：
A. not (not not ((not not ((4 % 10) <= (-1 + 12))) or (not not ((火星是距离太阳第4近的行星。) and ((5 + 8) >= (-4 * 9 * 8 * -9)))) or ((冰在常温下是固体。) and ((-8 * 4 + 0 * -10) <= (-15 - -3)))))
B. not not (not ((not not (肯尼亚位于亚洲。)) and ((((7 * -8 - 0 * -2) == (-18 + -6)) or (((10 + -11) != (16 + -3)) or ((4 - -1) < (20 * -17))... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 20779833,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not (not not ((not not ((4 % 10) <= (-1 + 12))) or (not not ((火星是距离太... |
logic-v2 | Consider the following logical expressions:
A. (not (not (The chemical symbol for Zinc is Pb.))) and (not ((((Air is a gas at room temperature.) or ((-4 * 1 - -7 * 4) < (13 - 1))) and (1951 is a leap year.)) and (not not (The currency of Sweden is the Krona.)) and (Air is a liquid at room temperature.)))
B. not ((not ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 7057236,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. (not (not (The chemical symbol for... |
logic-v2 | Consider the following logical expressions:
A. not ((Earth is the 6th planet from the Sun.) or ((7 + -17) > (-18 - 20)))
B. not not (not not (((63 is less than or equal to 34.) or (Indonesia is in Asia.)) and ((42 % 1) == (-15 - -15))))
C. ((((A butterfly has 8 legs.) and (The first Olympic Games of modern era occurre... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 33216098,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. not ((Earth is the 6th plan... |
logic-v2 | 分析以下逻辑表达式：
A. ((((氮气在常温下是气体。) or (铜在常温下是固体。)) and ((5 ** 3) == (-16 - -6))) and ((奥地利的首都是维也纳。) and (铅的化学符号是Ne。)) and (((人类每只手有五个手指。) or (金在常温下是固体。)) and (铜在常温下是固体。))) and (not not (((-8 + 11) <= (-6 * 10 * 5 * -3)) or (泰坦尼克号沉没发生在1912年。)))
B. (((((13 * 1) >= (10 + 3)) or (氦气在常温下是气体。)) and (俄罗斯的货币是兹罗提。)) and (not not ((... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 71734673,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. ((((氮气在常温下是气体。) or (铜在常温下是固体。)) and ((5 ** 3) == (-16 - -6))) ... |
logic-v2 | 考虑以下布尔表达式：
A. ((not not (土星是距离太阳第6近的行星。)) or ((((42 % 9) >= (-1 - 3)) and ((大象有10条腿。) or ((3 ** 3) <= (-18 + 10)))) or (1996年奥运会在伦敦举办。) or ((((-8 * -8 * -8 * 8) == (36 % 10)) and (天王星是距离太阳第7近的行星。)) or (((-19 * -9) <= (-13 * 0)) and (火星是距离太阳第3近的行星。))))) and (not not ((((4 ** 2) != (7 * -2 - 7 * -2)) or ((11 - -16) <= (... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 74012954,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. ((not not (土星是距离太阳第6近的行星。)) or ((((42 % 9) >= (-1 - 3)) an... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 油在常温下是液体。
B. not not (181是斐波那契数。)
C. (新西兰位于大洋洲。) or ((墨西哥的货币是美元。) and ((13 * -1) == (8 * -9 - 1 * -5)))
D. ((-1 - -2) != (3 ** 3)) or ((意大利位于欧洲。) and (人类首次登月发生在1969年。))
E. not (水在常温下是气体。)
F. ((-11 - -8) == (-9 * -14)) and (not (人类每只手有五个手指。))
G. not (not not (泰坦尼克号沉没发生在1902年。))
找出所有为 True 的表达式。在 \b... | {
"game_data": {
"answer": "A,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 28521166,
"true_count": 5
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 油在常温下是液体。\nB. not not (181是斐波那契数。)\nC. (新西兰位于大洋洲。) o... |
logic-v2 | Analyze these boolean expressions:
A. (1 ** 3) <= (-6 * -10 - 2 * -5) <= (20 % 7)
B. ((The capital of Philippines is Abuja.) and (The chemical symbol for Silver is Ag.)) or ((The chemical symbol for Chlorine is Co.) or (A dog has 2 legs.))
C. (1 - 11) > (-3 - 16)
D. (not (A butterfly has 6 legs.)) or (not ((-3 * 8) !=... | {
"game_data": {
"answer": "C,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 39435294,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. (1 ** 3) <= (-6 * -10 - 2 * -5) <= (... |
logic-v2 | Analyze these boolean expressions:
A. (16 % 1) == (31 % 5)
B. (not ((-12 * 6) <= (-2 * -10 - 6 * -10))) or (not not ((20 + -11) > (1 ** 3)))
C. (-15 + -17) > (-3 + -6)
D. (35 % 10) == (8 * -14)
Which of these evaluate to True? Provide all true option labels separated by commas in \boxed{}. | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 95474152,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (16 % 1) == (31 % 5)\nB. (not ((-12 * 6) <... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not (蜘蛛有8条腿。)) or (not (not not ((-10 + -8) != (16 % 9))))) or ((((not not ((-6 * -3 + -9 * -6) <= (27 % 2) <= (19 + -1))) and (泰国的首都是曼谷。)) and ((短吻鳄是鱼类。) or (瑞典的货币是克朗。))) and (((九月有28天。) and (青蛙有4条腿。)) or (not (四月有30天。))) and (not (((锌的化学符号是Zn。) or ((-6 * 5 - 9 * 2) > (17 + -11))) or ((15 + -17) ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 7228473,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. ((not not (蜘蛛有8条腿。)) or (not (not not ((-10 + -8) != (16 % 9))))... |
logic-v2 | Review these logical expressions:
A. not not (not ((not not (not (The currency of China is the Krone.))) and ((Argentina is in South America.) or (((-6 * -6 + 8 * 0) <= (-2 * -5 * -3 * -8)) and (A crab has 10 legs.)))))
B. (((not not (Christopher Columbus reached America occurred in 1492.)) or (not ((-18 * 5) > (19 + ... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 10520653,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not not (not ((not not (not (The currency... |
logic-v2 | 研究以下逻辑语句：
A. not not (((月球绕地球运转。) or (二月有30天。)) or (((-4 * 10 + -6 * -1) > (-2 * 5 + 3 * -7)) or (植物通过光合作用产生氧气。)))
B. ((-14 + 1) != (28 % 3)) or ((匈牙利的首都是布达佩斯。) or ((16 * -15) <= (15 - 3))) or ((not not (第二次世界大战开始发生在1949年。)) and ((12 % 8) >= (5 % 4)))
C. (not (钠的化学符号是Na。)) or ((新加坡的货币是新加坡元。) or (挪威的货币是比索。)) or (((-10 ... | {
"game_data": {
"answer": "A,B,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 41765208,
"true_count": 6
},
"question": "研究以下逻辑语句：\n\nA. not not (((月球绕地球运转。) or (二月有30天。)) or (((-4 * 10 + -6 * -... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((not (The 1904 Olympics were held in Paris.)) or (not not (not not ((The capital of Czech Republic is Prague.) and ((-13 * 13) == (-6 * -1 - 7 * 4))))))
B. not (not not ((Light travels faster than sound.) or (((5 + -10) < (2 * -9... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 92508546,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Study the following logical statements:
A. not ((((Nitrogen is a gas at room temperature.) and (The currency of Thailand is the Baht.)) and ((Light travels faster than sound.) or (The currency of Chile is the Peso.))) and (not (The 1956 Olympics were held in Seoul.)) and ((-12 + 20) > (10 * 8)))
B. ((not not (((-8 - -... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 58231903,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not ((((Nitrogen is a gas at room... |
logic-v2 | 分析以下逻辑表达式：
A. (not not (((人体有206块骨头。) and ((24 % 3) == (11 + 8))) and (现代奥运会首届举办发生在1896年。))) and (not (not not (not not (日本的货币是里拉。))))
B. (not not ((not ((10 * -7 + -1 * -5) < (-1 - 12))) or (光速约为每秒30万公里。))) or ((not not ((-2 - 13) > (18 % 10))) and (((-6 - 1) < (-3 + -6)) or (水星是距离太阳第1近的行星。))) or (((9 * -7 - 1 * -5) ... | {
"game_data": {
"answer": "B,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 62549912,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. (not not (((人体有206块骨头。) and ((24 % 3) == (11 + 8))) and (现... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((第一部iPhone发布发生在2007年。) or (一月有31天。) or ((-1 * 3 + 0 * 3) != (-20 - 16))) or ((((48能被8整除。) and (二月有31天。)) and ((鲤鱼是鱼类。) or ((5 ** 3) > (-1 - -20)))) or ((海王星是距离太阳第5近的行星。) or (71大于64。)) or ((((-10 * 19) != (-4 * -9 * -1 * -7)) or (鲨鱼是哺乳动物。)) or ((14 * -8) >= (-3 * 9 - 0 * 5))))) and (not ((((3... | {
"game_data": {
"answer": "C,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 22303751,
"true_count": 5
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (((第一部iPhone发布发生在2007年。) or (一月有31天。) or ((-1 *... |
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