env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Below are several boolean expressions:
A. not ((The Moon produces its own light.) or (Steam is a gas at room temperature.))
B. not (((India is in Asia.) and (The currency of Malaysia is the Rupiah.)) or (The chemical symbol for Platinum is Pt.))
C. (not not ((Iron is a solid at room temperature.) or ((-4 * 0 * -7 * -5... | {
"game_data": {
"answer": "E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 26690970,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not ((The Moon produces its own ligh... |
logic-v2 | Analyze these boolean expressions:
A. (not (not (The capital of Hungary is Caracas.))) or ((Iron is a solid at room temperature.) or ((5 + -12) < (-3 * -11) < (-20 + 11))) or (((Whales are fish.) or ((4 + 9) > (5 ** 3))) and (Copper is a solid at room temperature.))
B. not not (not not ((62 is a prime number.) and ((-... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 929490,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (not (not (The capital of Hungary is Carac... |
logic-v2 | 评估以下每个表达式：
A. not (not not ((3 * 8) <= (2 ** 1)))
B. not not ((((2 ** 3) == (4 + -10)) and ((0 + -8) > (1 * 2))) and ((-7 - 0) == (1 * 2 - -7 * -9)))
C. ((4 % 8) < (3 * -1 * 2 * -5)) or (((4 ** 2) != (1 ** 3)) or (地球是距离太阳第3近的行星。))
D. ((7 - -20) >= (-11 - 14)) and (((2 ** 2) < (4 - 8)) or (((-14 * 12) == (-8 * 1 - 8 * ... | {
"game_data": {
"answer": "A,C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 48868876,
"true_count": 6
},
"question": "评估以下每个表达式：\n\nA. not (not not ((3 * 8) <= (2 ** 1)))\nB. not not ((((2 **... |
logic-v2 | Below are several boolean expressions:
A. The Moon produces its own light.
B. not not (The capital of France is Paris.)
C. ((The capital of Saudi Arabia is Riyadh.) or (Ice is a liquid at room temperature.)) and (A chicken has 8 legs.)
Identify all expressions that are true. Answer with the option labels separated by... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 1525448,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. The Moon produces its own light.\nB. no... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not ((not not ((4 * -8 + -9 * -4) == (4 * 1 * 4 * 0))) or ((not ((There are 31 days in May.) and (55 is an even number.))) or ((not not (The first iPhone was released occurred in 2007.)) and (There are 30 days in June.)))))
B. not ((... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 9710201,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\... |
logic-v2 | Examine these expressions:
A. not (not (not not ((not not (not ((8 * -7 + 2 * 9) == (10 * 10 - -5 * -3)))) and (United Kingdom is in Europe.))))
B. not (((not not ((not not (The capital of Chile is Santiago.)) or (((7 * -1) > (-6 * -4 + 4 * 9)) and (The 1896 Olympics were held in Barcelona.)))) and (France is in South... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 90699655,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not (not (not not ((not not (not ((8 * -7 + 2 ... |
logic-v2 | 评估以下每个表达式：
A. not not (((((not (海王星是距离太阳第8近的行星。)) or (((5 - 0) != (-7 + 17)) and (柏林墙倒塌发生在1989年。))) and (not not ((2 % 1) > (-1 * -1 - -5 * -2)))) and (not ((水在常温下是液体。) or (not not (哥伦比亚的货币是比索。))))) or ((((16 * 8) == (16 % 3)) or (鲱鱼是鱼类。) or (俄罗斯的货币是卢布。)) or ((((猫有4条腿。) or (月球自己发光。)) or (not ((-10 - 6) <= (1 * 4 - 8 *... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 32284067,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not not (((((not (海王星是距离太阳第8近的行星。)) or (((5 - 0) != (-7 + 17)) a... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (((The Pacific Ocean is the largest ocean.) or ((10 + -8) == (28 % 5))) and (not ((-18 + -18) <= (2 ** 3)))) or (((A day on Earth is 24 hours.) or (The Soviet Union dissolved occurred in 1991.) or (Mercury is the 1st planet from the Sun.)... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 11597116,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((not ((not not (((-10 + -14) >= (2 - 5)) and (六月有29天。))) or (((氧的化学符号是Mg。) or (德国的首都是基辅。)) and ((-10 + 19) == (-6 * -1 + -7 * 8))))) or (not ((海王星是距离太阳第8近的行星。) or ((12 + -12) < (-5 * -5) < (-9 - 11)))))
B. not (((not not (not (((19 + -5) == (-11 - 2)) or (伦敦大火发生在1667年。)))) and (not (not not (大象有... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 71188622,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not not ((not ((not not (((-10 + -14) >= (2 - 5)) and (六月有29... |
logic-v2 | 评估以下每个表达式：
A. ((((金星是距离太阳第2近的行星。) and ((32大于19。) or (地球是距离太阳第3近的行星。))) or ((意大利位于欧洲。) or ((猫有4条腿。) and (10是质数。)))) or (not ((((-13 + -6) >= (9 * -10)) or (火烈鸟是鸟类。)) and ((捷克的货币是克朗。) and ((-13 - 7) >= (15 - 1)))))) or (not not (((18 + -4) == (-10 * 6 - 5 * -7)) and (((泰国的货币是里拉。) and ((-2 + -7) < (3 - 3))) or (((-12 * -... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 5623153,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. ((((金星是距离太阳第2近的行星。) and ((32大于19。) or (地球是距离太阳第3近的行星。))) or ((意大利... |
logic-v2 | Evaluate each expression below:
A. (2 * 18) <= (-4 * 4)
B. ((The 2008 Olympics were held in Berlin.) or ((-16 - -12) >= (1 ** 3))) and (1902 is a leap year.)
C. A day on Earth is 24 hours.
List all options that evaluate to True, separated by commas, in \boxed{}. | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 31214414,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. (2 * 18) <= (-4 * 4)\nB. ((The 2008 Olympics ... |
logic-v2 | 研究以下逻辑语句：
A. (((((天王星是距离太阳第3近的行星。) or (1976年奥运会在蒙特利尔举办。)) and (((-2 * 4 * 10 * -2) > (-5 - 15)) and (罗马尼亚的首都是布加勒斯特。))) and (not not ((空气在常温下是液体。) or ((-7 * -1 + -5 * 8) <= (-5 * 10) <= (1 - -7))))) and (not not (not not ((一月有30天。) or (鲨鱼是哺乳动物。))))) or ((((鲨鱼是哺乳动物。) or (加拿大位于北美洲。)) and (2024年奥运会在巴黎举办。)) or ((-8 * -5 - ... | {
"game_data": {
"answer": "A,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 92236458,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. (((((天王星是距离太阳第3近的行星。) or (1976年奥运会在蒙特利尔举办。)) and (((-2 * 4 * ... |
logic-v2 | 分析以下逻辑表达式：
A. ((((4 ** 1) <= (-10 - 0) <= (-20 + 2)) and (埃及的首都是开罗。)) or (not ((-16 + 6) == (-4 * 1 + -6 * 3)))) and (蚂蚁有2条腿。) and (((镁的化学符号是Mg。) or ((-3 - 14) <= (9 * 9))) and ((空气在常温下是气体。) and ((10 * -5 - -4 * -2) >= (-10 + -13))))
B. ((-8 * 20) <= (15 * 7) <= (8 * 5 + 0 * -6)) or (((4 + 11) < (20 + 0)) and (((9 - 3... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 50463234,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. ((((4 ** 1) <= (-10 - 0) <= (-20 + 2)) and (埃及的首都是开罗。)) or (not ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((14 + -7) <= (7 * -19) <= (0 * 5 + 8 * 7)) or (((-4 + -17) <= (-6 * 7 - 6 * 0)) and (人体有150块骨头。))) and (not not ((-12 + -3) < (-10 + 9)))) or ((not not ((金星是距离太阳第2近的行星。) and ((-12 * -18) >= (3 * 2 - 1 * 9)))) and ((not not (147是完全平方数。)) or (第二次世界大战结束发生在1944年。)) and (((((3 ** 2) >= (3 + -8))... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 21382300,
"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. ((((14 + -7) <= (7 * -19) <= (0 * 5 + 8 * 7)) or ((... |
logic-v2 | 分析以下逻辑表达式：
A. not not (((11 - -13) <= (3 * -5) <= (1 * -1 * 5 * 3)) or (尼日利亚位于非洲。))
B. not (not (伦敦大火发生在1666年。))
C. not ((not not (氮气在常温下是固体。)) and ((蝴蝶有6条腿。) and ((11 % 6) < (47 % 2))))
D. (not ((1929年是闰年。) or (泰坦尼克号沉没发生在1912年。))) and (((-17 - 5) < (12 % 7)) and ((丹麦的首都是巴黎。) and ((11 - 20) <= (-15 * -15) <= (8 * 2)))... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 47937867,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not not (((11 - -13) <= (3 * -5) <= (1 * -1 * 5 * 3)) or (尼日... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((10 - -16) <= (17 * 12)) and ((匈牙利的货币是兰特。) and (((-7 + 8) > (-1 - -20)) or ((19 + -2) < (-1 * 16))))) and (not (not (((1 - 0) >= (-17 + 8)) and ((20 + -4) >= (-10 * 2)))))) or (((((2 * 17) != (-5 * 16)) and (蝙蝠是瞎的。)) or (not not ((12 % 7) > (8 % 4)))) and ((-10 - 17) < (14 + 16) < (22 % 2))) or ... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 36605730,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((10 - -16) <= (17 * 12)) and ((匈牙利的货币是兰特。) and (((-... |
logic-v2 | Analyze these boolean expressions:
A. not (((46 % 6) >= (20 - -19)) and ((A eagle is a bird.) or ((1977 is a leap year.) and ((37 % 3) >= (-6 * -6)))))
B. ((not not (2043 is a leap year.)) or (There are 31 days in January.)) or (((1 ** 2) == (-18 + -10)) or ((The 1992 Olympics were held in Barcelona.) or ((-3 * 14) ==... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 68718947,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not (((46 % 6) >= (20 - -19)) and ((A ea... |
logic-v2 | 下面是几个布尔表达式：
A. (not (not ((澳大利亚的首都是堪培拉。) and ((15 * 7) < (4 % 8))))) and (not not (not not (蛇有100条腿。)))
B. (((20 % 5) != (11 - 2)) and ((2 * -18) >= (-20 + 7))) and (((((4 - 0) == (14 + 6)) and ((2 - 18) > (-7 * -17))) and (1972年奥运会在洛杉矶举办。)) and ((-5 + -20) >= (5 ** 2)))
C. (((((-15 * 15) <= (8 + -8)) or (印度尼西亚的首都是雅加达... | {
"game_data": {
"answer": "D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 75581356,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (not (not ((澳大利亚的首都是堪培拉。) and ((15 * 7) < (4 % 8))))) and (no... |
logic-v2 | Consider the following logical expressions:
A. ((not not (((5 ** 2) < (-10 * 1) < (-4 * -5 + 9 * -4)) or ((-9 + -2) >= (5 ** 3)))) or (The currency of European Union is the Rupee.)) or (((The currency of India is the Rupee.) or (The 2012 Olympics were held in Amsterdam.)) or ((not (Mercury is the 1st planet from the S... | {
"game_data": {
"answer": "A,B,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 69003256,
"true_count": 6
},
"question": "Consider the following logical expressions:\n\nA. ((not not (((5 ** 2) < ... |
logic-v2 | Given the following boolean expressions:
A. ((Sound travels faster in a vacuum.) and (not ((The currency of Egypt is the Pound.) and ((-12 * -14) < (-8 + 9))))) or ((((Earth is the 1st planet from the Sun.) or (The chemical symbol for Platinum is Cu.)) and (not not (The chemical symbol for Hydrogen is Hg.))) or (not n... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 98644633,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. ((Sound travels faster in a vacuum.)... |
logic-v2 | 分析以下逻辑表达式：
A. (((铜的化学符号是Cu。) and (not (泰坦尼克号沉没发生在1902年。))) and ((((-8 * -2 * 9 * 7) < (16 + 7) < (13 - -15)) and (2012年奥运会在伦敦举办。)) and ((-5 * -5 * 3 * 8) < (-2 - 9)))) or ((火星是距离太阳最近的行星。) and ((2 ** 2) < (-11 + -18) < (7 * 9)) and (((53是奇数。) and ((-7 * -2 * -9 * -7) == (-19 * 16))) or (菲律宾的首都是马尼拉。))) or (not not (((((... | {
"game_data": {
"answer": "D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 10712187,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. (((铜的化学符号是Cu。) and (not (泰坦尼克号沉没发生在1902年。))) and ((((-8 * -2 *... |
logic-v2 | 下面是几个布尔表达式：
A. not ((not not ((not ((伦敦大火发生在1667年。) or ((20 + -5) > (4 % 6)))) and (((-11 - 9) > (-4 * -3 + 7 * -6)) and ((-8 + 8) > (0 * 6 + -4 * -3))))) and (((not not (木头在常温下是固体。)) or ((1928年奥运会在阿姆斯特丹举办。) or ((-5 * 5 + 1 * 4) >= (-18 - -2))) or ((((-10 + 14) < (7 - -20) < (-9 * 20)) and ((3 + 17) != (-3 * 7 * 4 * 1... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 21414140,
"true_count": 6
},
"question": "下面是几个布尔表达式：\n\nA. not ((not not ((not ((伦敦大火发生在1667年。) or ((20 + -5) > (4... |
logic-v2 | Review these logical expressions:
A. (not ((((-7 + -15) == (-9 * 8 + -2 * 4)) or (The 1996 Olympics were held in Atlanta.)) and (The 2000 Olympics were held in Paris.))) and (not not ((not (A turtle is an insect.)) or ((((19 * -16) > (5 * -12)) and ((-18 + -5) >= (-1 * -1 + 6 * -3))) or (not not (There are 31 days in ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 59017581,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. (not ((((-7 + -15) == (-9 * 8 + -2 * ... |
logic-v2 | Consider the following logical expressions:
A. not not ((-2 - -5) < (8 - -11))
B. not not (((10 * -10 - -3 * -1) == (16 - -10)) and ((-4 * -3 * 2 * 6) >= (-3 - 8)))
C. (((3 ** 3) == (-3 * -8)) or (Humans only use 10% of their brain.)) or ((The 1996 Olympics were held in Paris.) or (The capital of France is Ottawa.))
... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 78855787,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not not ((-2 - -5) < (8 - -11))\n... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((not (not (There are 31 days in March.))) and (not ((The currency of Egypt is the Rand.) or ((8 * 16) != (11 * 9)))) and (((((1 + -13) >= (6 % 9)) and (((1 ** 3) != (5 * 5 - -5 * -3)) and ((0 * 16) == (7 - 13)))) and ((not ((-8 * -2 + -3 * -1) < (2 ** 3))) or (((10 - ... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 86056657,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((not (not (There are 31... |
logic-v2 | Consider the following logical expressions:
A. (6 - -5) >= (16 - -7)
B. ((The chemical symbol for Oxygen is O.) or ((5 * -8 * 5 * 3) < (1 ** 3) < (1 ** 2))) and ((The chemical symbol for Sulfur is S.) or ((-12 * 12) < (-10 * 0 * 6 * -3) < (-13 * 14)))
C. not (A crab has 8 legs.)
D. The chemical symbol for Phosphorus i... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 90635799,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (6 - -5) >= (16 - -7)\nB. ((T... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((-17 * -19) > (25 % 8))
B. (27 % 10) <= (8 * -10 - 5 * 7)
C. (10 + 11) >= (-9 * 14)
D. (The 1972 Olympics were held in Munich.) and (The chemical symbol for Helium is He.)
Which options evaluate to True? List all true option lab... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 94828202,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 下面是几个布尔表达式：
A. (((not not ((-17 - 14) < (-19 - -17))) or ((印度尼西亚的首都是赫尔辛基。) or (((17 % 5) <= (-17 - -14) <= (13 - 2)) and (836是斐波那契数。)))) and ((-15 - 1) < (2 * 8 - 10 * -5)) and (not not ((捷克的首都是惠灵顿。) or ((2 ** 2) <= (-16 * -15))))) or (not ((not ((加拿大的货币是新西兰元。) and (1949年是闰年。))) and ((钻石在常温下是固体。) and (澳大利亚的货币是克朗。)) an... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 70253750,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (((not not ((-17 - 14) < (-19 - -17))) or ((印度尼西亚的首都是赫尔辛基。) o... |
logic-v2 | Analyze these boolean expressions:
A. (not ((not (Indonesia is in Asia.)) or (((-3 * 1 + -8 * 0) <= (4 ** 1)) and ((-4 + 7) > (-7 * 0 - -5 * 1))))) or (not ((1 + 9) <= (-5 * -2 * -7 * -1)))
B. ((not ((Russia is in Asia.) and (The 1992 Olympics were held in Paris.))) or ((Kenya is in Africa.) or ((A trout is a mammal.)... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 97198194,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. (not ((not (Indonesia is in Asia.)) ... |
logic-v2 | 审视以下逻辑表达式：
A. (not not ((地球是距离太阳第3近的行星。) or (not (海王星是距离太阳第8近的行星。)) or (not (((16 % 3) <= (-4 * -5 + 0 * -8) <= (-19 - -10)) and (铁在常温下是固体。))))) and (((not not ((1923年是闰年。) or (秘鲁的货币是索尔。))) and (((-12 + -18) != (-18 + -18)) and ((0 + -18) == (19 + 17)))) and (not not (not not (not ((-7 - -9) <= (-19 + 1))))))
B. (((((... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 27363290,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (not not ((地球是距离太阳第3近的行星。) or (not (海王星是距离太阳第8近的行星。)) or (not (((1... |
logic-v2 | 检验这些表达式：
A. ((((美国宣布独立发生在1774年。) and (((-8 * 4 * 2 * -9) >= (3 + -9)) and ((3 ** 1) < (10 + -1)))) and ((-18 * 16) == (8 * 10 + -8 * -4))) or (((((19 * 3) < (14 * -12)) and ((-12 - -10) >= (-12 + -6))) and ((水在海平面上的沸点是100摄氏度。) or (空气在常温下是气体。))) or (not ((15 - 4) < (-3 - -8))) or (((3 ** 3) >= (-8 * -10)) and ((-19 - -... | {
"game_data": {
"answer": "A,B,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 95639317,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. ((((美国宣布独立发生在1774年。) and (((-8 * 4 * 2 * -9) >= (3 + -9)) an... |
logic-v2 | 检验这些表达式：
A. (2 ** 1) >= (5 + 8)
B. 碳的化学符号是C。
C. ((第一次世界大战结束发生在1916年。) or (1924年奥运会在阿姆斯特丹举办。)) and (荷兰的首都是渥太华。)
哪些是真的？在 \boxed{} 中列出所有为真选项的标识，用逗号分隔。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 96067354,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (2 ** 1) >= (5 + 8)\nB. 碳的化学符号是C。\nC. ((第一次世界大战结束发生在1916年。) or (1924... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not not (((3 ** 3) == (-4 - -5)) or (((-3 * 4) == (-15 * -16)) and (The first airplane flight by the Wright Brothers occurred in 1903.))))
B. (not ((-2 * -5 * -6 * -8) != (16 + 19))) or ((not (((-13 * -6) <= (41 % 10)) or ((-11 * 19) < (3 ** 3)))) and ((((2 ** 2) ... | {
"game_data": {
"answer": "A,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 43154432,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not not (((3 ** 3) ... |
logic-v2 | Study the following logical statements:
A. (14 * 19) > (17 % 2)
B. ((Oxygen is a gas at room temperature.) and ((15 * -10) <= (1 * -8 + 9 * -10))) or (not ((8 - -18) == (17 + 13)))
C. Iron is a gas at room temperature.
D. Mars is the 4th planet from the Sun.
E. not not ((-5 * 11) == (-4 * 7 * -1 * 0))
Which statement... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 66870134,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (14 * 19) > (17 % 2)\nB. ((Oxygen... |
logic-v2 | Evaluate each expression below:
A. The 1936 Olympics were held in Berlin.
B. ((The 2024 Olympics were held in Paris.) or ((1 ** 1) != (14 * 16))) and ((The capital of Brazil is Brasilia.) and (The currency of Japan is the Riyal.))
C. ((9 * -4 - -7 * 1) > (4 ** 3)) or ((277 is a perfect square.) and (Earth is the 3rd p... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 25286993,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. The 1936 Olympics were held in Berlin.\nB. ... |
logic-v2 | Analyze these boolean expressions:
A. not (not not (Oil is a liquid at room temperature.))
B. (not not (The capital of Mexico is Mexico City.)) and ((The human body has 206 bones.) and (The square root of 225 is 15.))
C. (((-12 * 11) == (8 + -7)) or (The chemical symbol for Iron is P.)) and ((48 is a prime number.) an... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 47279259,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not (not not (Oil is a liquid at room te... |
logic-v2 | 下面是几个布尔表达式：
A. ((not ((not not (1956年奥运会在斯德哥尔摩举办。)) or ((6 % 8) > (-9 + -1)))) or (not ((((-3 + -17) <= (-12 + -13)) or (日本的货币是日元。)) and ((8 - -18) == (5 ** 3))))) and ((((((10 * -3 * 3 * -9) <= (28 % 6)) or (瑞典的首都是斯德哥尔摩。)) or ((人类有三个肺。) and (钙的化学符号是Ca。))) and ((not not ((-15 + -19) > (5 - 3))) and ((9是偶数。) and ((-10 ... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 77641124,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. ((not ((not not (1956年奥运会在斯德哥尔摩举办。)) or ((6 % 8) > (-9 + -1)))) o... |
logic-v2 | Analyze these boolean expressions:
A. not not (not not ((((-16 * -14) < (42 % 7)) and (88 is divisible by 8.)) or (((4 * -2 * -6 * -6) <= (-6 * -6 * -3 * -6)) and (122 is an odd number.))))
B. ((not (((-7 + -3) < (-1 * 0 * -8 * 1) < (13 + -5)) and (A day on Earth is 24 hours.))) and (not ((The currency of Canada is th... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 64750475,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not (not not ((((-16 * -14) < (42 % ... |
logic-v2 | 下面是几个布尔表达式：
A. not (not (((0 - -2) != (29 % 6)) and (英国的货币是福林。)))
B. (((月球绕地球运转。) and ((7 * 6 + -9 * 1) < (3 ** 2))) and ((-8 * 4 * 5 * 1) == (0 + -18))) or ((-1 - -9) != (6 % 4))
C. ((-3 + -1) != (-17 + 2)) or ((((4 + -16) != (13 + -13)) and (地球是距离太阳第6近的行星。)) or ((闪电不会两次击中同一个地方。) or ((-3 - -15) != (21 % 7))))
D. (not... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 71076236,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not (not (((0 - -2) != (29 % 6)) and (英国的货币是福林。)))\nB. (((月球绕... |
logic-v2 | 检验这些表达式：
A. not not (not not (天王星是距离太阳第7近的行星。))
B. (not not ((13 - 16) > (1 % 1))) and (((2 - -16) <= (2 ** 3) <= (31 % 10)) and ((-20 * -9) > (-4 * -16))) and ((((4 ** 1) <= (-12 * -6) <= (5 ** 2)) and (1909年是闰年。)) and ((英国位于欧洲。) and (牛有6条腿。)))
C. not not ((-1 * -10 + 7 * -4) == (-17 + -20))
D. (螃蟹有10条腿。) or (((33是质数... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 2665482,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not not (not not (天王星是距离太阳第7近的行星。))\nB. (not not ((13 - 16) > (... |
logic-v2 | 分析以下逻辑表达式：
A. not not (not ((15 * 15) == (7 * -1 - -3 * 2)))
B. not (((植物通过光合作用产生氧气。) or ((3 % 4) != (-4 * -16))) and ((捷克的首都是渥太华。) and (哥伦比亚的首都是波哥大。)))
C. not (not ((蜻蜓是爬行动物。) and ((5 ** 3) >= (3 * -12))))
D. not not (not not (((-11 + -16) > (1 + -5)) or ((-8 * -4 - 4 * -3) == (-20 * 5))))
E. not ((4 ** 2) == (1 ** 2... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 81287125,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not not (not ((15 * 15) == (7 * -1 - -3 * 2)))\nB. not (((植物... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((波兰的货币是瑞士法郎。) or (192是偶数。)) and (not ((6 * 15) <= (11 + -11) <= (9 * 5)))) and (((1968年奥运会在亚特兰大举办。) or (蝙蝠是瞎的。)) or (not not (1936年奥运会在柏林举办。)))) or ((((-18 + -20) > (-17 - -12)) or ((29 % 4) <= (-3 * 7 + -6 * -10) <= (-5 - -17))) and ((not not (阿根廷的货币是比索。)) or (not (现代奥运会首届举办发生在1906年。))))
B. (no... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 82955386,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((波兰的货币是瑞士法郎。) or (192是偶数。)) and (not ((6 * 15) <= (11... |
logic-v2 | Examine these expressions:
A. not ((((not not (87 is a prime number.)) and ((A ant has 6 legs.) or (Iron is a solid at room temperature.))) and (The capital of Thailand is Rome.) and (Mercury is the 3rd planet from the Sun.)) and (not not ((-9 - -20) < (7 % 9))))
B. (not (((((2 ** 2) < (16 % 2)) and ((-12 + -18) == (-... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 93945950,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not ((((not not (87 is a prime number.)) and (... |
logic-v2 | Consider the following logical expressions:
A. ((((South Korea is in Asia.) or (Carbon dioxide is a solid at room temperature.)) or (Humans only use 10% of their brain.)) or ((The capital of Chile is Athens.) and (The chemical symbol for Oxygen is O.)) or (not not (((9 * 3 - 4 * -7) <= (-5 + 9)) and (A lobster has 10 ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 58332025,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. ((((South Korea is in Asia.) or... |
logic-v2 | 分析以下逻辑表达式：
A. (((印度尼西亚的货币是谢克尔。) or ((二氧化碳在常温下是气体。) and ((-14 + 6) == (1 * 12))) or (((匈牙利的首都是布达佩斯。) and (汞的化学符号是Hg。)) and (not (木星是距离太阳第2近的行星。)))) or ((铁的化学符号是Fe。) and (((39 % 7) >= (8 * -5 - 10 * -4)) or ((20 + -10) <= (29 % 2) <= (33 % 1))))) and ((not (not (not not (希腊的首都是雅典。)))) or (not not (((2083年是闰年。) or (丹麦的货币... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 10587199,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. (((印度尼西亚的货币是谢克尔。) or ((二氧化碳在常温下是气体。) and ((-14 + 6) == (1 * 12... |
logic-v2 | Analyze these boolean expressions:
A. not ((((0 - -20) <= (-18 - -15)) or ((New Zealand is in Antarctica.) and ((-18 + 16) >= (-15 + -8)))) and ((4 ** 3) != (8 * 8 * 2 * 10)))
B. not not (((The first iPhone was released occurred in 2007.) and (((20 * 18) > (34 % 2)) or (40 is greater than 94.))) and (The chemical symb... | {
"game_data": {
"answer": "A,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 68231103,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not ((((0 - -20) <= (-18 - -15)) or ((... |
logic-v2 | 评估以下每个表达式：
A. (not ((-19 - 4) == (13 + 19))) or ((not not (德国位于南极洲。)) and ((莱特兄弟首次飞行发生在1908年。) or (奥地利的首都是巴西利亚。)))
B. ((二氧化碳在常温下是液体。) or ((9 * 7 * 5 * 8) <= (20 - 13))) and (蜜蜂是鸟类。)
C. not not (((2 - 12) != (1 * 16)) or (((2 * 1) >= (-9 + -17)) or (钙的化学符号是Na。)))
D. (((智利的首都是圣地亚哥。) or ((19 - 10) < (2 ** 2))) and ((土星是距... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 85036557,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (not ((-19 - 4) == (13 + 19))) or ((not not (德国位于南极洲。)) and ... |
logic-v2 | 考虑以下布尔表达式：
A. ((((空气在常温下是固体。) or (天王星是距离太阳第7近的行星。)) and (空气在常温下是液体。)) and (((1924年奥运会在圣路易斯举办。) and ((-8 * -7) <= (6 * 4 * -8 * 1))) and (49是偶数。))) or (((-19 + 17) == (-18 + 8)) and (((-3 + 9) != (-5 - -10)) and ((磷的化学符号是S。) and (94大于76。))))
B. (((0 * 6) >= (-4 * -9 + -3 * 3)) and ((氧气在常温下是气体。) and ((乌鸦是鸟类。) or (荷兰的首都是... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 14676076,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((((空气在常温下是固体。) or (天王星是距离太阳第7近的行星。)) and (空气在常温下是液体。)) and ((... |
logic-v2 | 研究以下逻辑语句：
A. (((0 * -3) <= (2 ** 2)) and ((14 * -8) == (-7 + 8))) and (((14 - -7) >= (-4 * 3 - -9 * 8)) and (2004年奥运会在斯德哥尔摩举办。))
B. not not ((-19 + -13) < (-10 * 9 - -10 * -2) < (-16 * 2))
C. not not ((1948年奥运会在伦敦举办。) and (意大利的首都是罗马。))
D. (((7 * -19) == (37 % 5)) or (鸡有2条腿。)) or ((五月有31天。) or ((15 * 19) < (1 * 8) < (1... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 44691122,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (((0 * -3) <= (2 ** 2)) and ((14 * -8) == (-7 + 8))) and (((14 ... |
logic-v2 | Evaluate each expression below:
A. (not ((((-7 - 10) < (2 * 3 * 10 * -7)) or (The currency of Thailand is the Baht.)) and ((14 * -13) != (9 + -15)))) and ((((2 * 9 - -5 * 2) == (6 + -8)) or (Earth is the 3rd planet from the Sun.)) and ((Helium is a gas at room temperature.) and ((2 % 10) != (-6 * -19)))) and (not not ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 34860081,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (not ((((-7 - 10) < (2 * 3 * 10 * -7)) or (... |
logic-v2 | Below are several boolean expressions:
A. 1934 is a leap year.
B. ((-2 - 8) != (2 ** 1)) and (not not (A dog has 4 legs.))
C. (Mercury is a liquid at room temperature.) and (not ((-18 + 6) >= (-8 * 18)))
D. 551 is a Fibonacci number.
Identify all expressions that are true. Answer with the option labels separated by c... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 50702696,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. 1934 is a leap year.\nB. ((-2 - 8) != ... |
logic-v2 | Examine these expressions:
A. not ((not (not not (not not (The Moon orbits the Earth.)))) or ((-12 - -12) <= (-10 * -8 + 5 * -3)) or (((((-14 - 18) == (-6 - 4)) and (The currency of United States is the Real.)) or (Mercury is the 1st planet from the Sun.)) and ((-13 + 1) == (-9 * 4 * 1 * -8)) and (There are 31 days in... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 67604683,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not ((not (not not (not not (The Moon orbits the E... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (49 % 6) > (13 * 7)
B. (not ((8 * 5 + 6 * -10) > (3 ** 1))) or (The currency of United Kingdom is the Krona.)
C. (3 % 10) != (14 - -15)
D. (((27 % 10) == (10 + 9)) or ((6 % 6) <= (-6 + -1))) and (not ((-3 * 13) != (1 - -8)))
E. (not not (... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 18969412,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Review these logical expressions:
A. (World War I began occurred in 1914.) or ((-4 + 4) <= (26 % 5))
B. The currency of South Korea is the Ruble.
C. (not (World War II began occurred in 1939.)) or (not not ((10 * 5) >= (10 + 17)))
Which expressions are true? Answer with comma-separated labels in \boxed{}. | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 82049915,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (World War I began occurred in 1914.) or ... |
logic-v2 | 检验这些表达式：
A. (10 * 4 + -7 * -3) <= (0 + 0) <= (8 * 0 * 10 * -10)
B. ((9 + 18) > (5 * -2 + 2 * 6)) and (土星是距离太阳第6近的行星。)
C. ((48 % 7) > (15 * 19)) and (not not ((0 * 0 - 6 * -2) <= (11 * 20)))
D. (((-15 - -1) >= (-18 + 19)) and (鲱鱼是昆虫。)) or (not not (49的平方根是6。))
E. not not (not ((-20 * 19) < (14 - 3)))
哪些是真的？在 \boxed{} ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 88543869,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (10 * 4 + -7 * -3) <= (0 + 0) <= (8 * 0 * 10 * -10)\nB. ((9 + 18) > ... |
logic-v2 | 评估以下每个表达式：
A. not ((not not (牛有100条腿。)) or (金的化学符号是Cl。))
B. ((22 % 6) > (-7 * -4 - 0 * -4)) or (not not ((2 * -5) != (-9 * 9 * 2 * 8))) or (苏联解体发生在1991年。)
C. (((蛇有0条腿。) and (德国的首都是柏林。)) and (((19 % 8) == (-5 - 5)) or ((4 - 1) > (-4 * 10 - 8 * -6)))) and (((八月有31天。) or (1921年是闰年。)) and ((1960年奥运会在洛杉矶举办。) or (古巴的首都是哈瓦那。... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 16421798,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not ((not not (牛有100条腿。)) or (金的化学符号是Cl。))\nB. ((22 % 6) > (-7 *... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. The currency of United States is the Dollar.
B. A spider has 0 legs.
C. ((Electricity flows faster than light.) or ((3 % 5) >= (-2 * -9 - 1 * 5))) and (not (The currency of Poland is the Rupee.))
D. (The 2024 Olympics were held in Antwerp... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 70691855,
"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. Uranus is the 7th planet from the Sun.
B. not (((0 * -7 * -1 * -7) != (-9 - -8)) and (The chemical symbol for Oxygen is Mg.))
C. not (not (Ice is less dense than liquid water.))
D. (((-4 * 10 + -4 * -8) < (42 % 10)) or (There are 31 days in July.)) and (not not (The 1996 Olym... | {
"game_data": {
"answer": "A,B,C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 29777977,
"true_count": 7
},
"question": "Study the following logical statements:\n\nA. Uranus is the 7th planet ... |
logic-v2 | Study the following logical statements:
A. Mercury is the 1st planet from the Sun.
B. ((-7 - -8) >= (-2 - -7)) or ((Uranus is the 6th planet from the Sun.) and ((-7 - 3) < (7 * 2 - 9 * 9)))
C. (((13 + 19) >= (11 + -15)) and (Spain is in South America.)) and ((The chemical symbol for Potassium is K.) and ((5 + -17) <= ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 20989606,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. Mercury is the 1st planet from the ... |
logic-v2 | 审视以下逻辑表达式：
A. not not ((not (((196的平方根是2。) and ((1946年是闰年。) or (1968年奥运会在墨西哥城举办。))) or ((银在常温下是固体。) or (2084年是闰年。)) or (((第一部iPhone发布发生在2007年。) and (人类首次登月发生在1969年。)) and (2000年奥运会在巴黎举办。)))) or ((not not ((((1 ** 2) == (20 - 9)) or ((18 * -14) <= (-15 + 5) <= (-18 * -11))) and ((-19 + -15) != (-3 - 12)))) and ((8 * -5... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 74359084,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. not not ((not (((196的平方根是2。) and ((1946年是闰年。) or (1968年奥运会在墨西哥... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (蝴蝶有0条腿。)
B. ((not ((-5 * 0) < (-1 * -6))) or (((-8 + -3) != (-1 * 7)) and (1972年奥运会在慕尼黑举办。))) and (139是完全平方数。) and ((墨西哥的首都是墨西哥城。) or ((46 % 2) < (-13 + 17)))
C. 钻石由碳元素组成。
D. ((not (太平洋是最大的海洋。)) and ((1 % 9) >= (-1 * -18))) and (not not (not ((1 ** 2) <= (20 + -14))))
E. (((汞在常温下是液体。) and ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 35324934,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (蝴蝶有0条腿。)\nB. ((not ((-5 * 0) < (-1 * -6))) or (((-8... |
logic-v2 | Review these logical expressions:
A. (((The 1960 Olympics were held in Tokyo.) or (South Africa is in Oceania.)) or ((3 ** 3) >= (-6 * -2)) or (((((9 % 1) <= (45 % 7)) and (A crab has 8 legs.)) and ((18 + -6) != (-17 * 6))) and ((A penguin is a fish.) and (The chemical symbol for Neon is Ne.)) and (not (((-8 * -9 + -1... | {
"game_data": {
"answer": "A,B,C,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 12200350,
"true_count": 7
},
"question": "Review these logical expressions:\n\nA. (((The 1960 Olympics were held ... |
logic-v2 | 分析以下逻辑表达式：
A. not not (not not (not not (not not (((2000年奥运会在阿姆斯特丹举办。) and (三月有29天。)) or ((天王星是距离太阳第7近的行星。) and (金在常温下是气体。))))))
B. not ((not not ((((空气在常温下是液体。) or ((-4 * 4) < (1 - 0))) or (not (2024年奥运会在巴黎举办。))) or ((not not (泰坦尼克号沉没发生在1912年。)) and (土耳其的货币是澳元。)))) and (not not ((not not ((秘鲁的货币是索尔。) or ((-12 + -1) !... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 96200115,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not (not not (not not (not not (((2000年奥运会在阿姆斯特丹举办。) and (三月... |
logic-v2 | Review these logical expressions:
A. not not (((not ((-1 - -18) < (1 * 5 * -4 * -10))) and ((South Korea is in Africa.) and ((-3 * 2 - 0 * -10) >= (-9 - 3)))) and (((Spain is in Europe.) or ((-10 * -18) < (-13 - -20))) or ((Copper is a solid at room temperature.) or ((5 ** 1) <= (-16 - 15)))))
B. (not not ((The square... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 13715463,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not not (((not ((-1 - -18) < (1 * 5 * -4 * ... |
logic-v2 | 考虑以下布尔表达式：
A. not ((not (蜘蛛是昆虫。)) or ((木星是距离太阳第5近的行星。) or (英国的货币是英镑。)) or ((((-11 - 4) == (15 * 17)) and ((7 + 9) != (2 * -3 + 0 * 1))) or (变色龙是爬行动物。)))
B. ((not not ((-17 + -10) < (5 * -1 + 10 * 5))) or (not ((-17 + -7) < (50 % 1))) or ((not (六月有29天。)) or (197是偶数。))) and ((not not ((乌克兰的首都是布鲁塞尔。) and (沙特阿拉伯位于亚洲。))) a... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 38678321,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not ((not (蜘蛛是昆虫。)) or ((木星是距离太阳第5近的行星。) or (英国的货币是英镑。)) or ((((... |
logic-v2 | Study the following logical statements:
A. not not ((not not (Mexico is in North America.)) and (Indonesia is in Asia.))
B. (Alcohol is a liquid at room temperature.) and ((-13 + -19) < (3 ** 3))
C. not (((-3 * -7 + 2 * 6) < (6 * 0 * 10 * 2)) or (((2 * 18) < (10 * 8)) and ((-8 * -9 + 5 * 3) < (-5 + -2))))
D. ((((-5 * ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 33202961,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. not not ((not not (Mexico is in... |
logic-v2 | Study the following logical statements:
A. (0 * 5 + 6 * 8) >= (-7 + -18)
B. (not not (Jupiter is the 8th planet from the Sun.)) and ((-2 - 13) >= (32 % 6))
C. (The capital of Nigeria is Abuja.) and (Earth is the 3rd planet from the Sun.)
Which statements are true? Put all true option labels in \boxed{}, separated by ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 40575716,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (0 * 5 + 6 * 8) >= (-7 + -18)\nB. (... |
logic-v2 | 审视以下逻辑表达式：
A. (((5 ** 2) < (1 - -8)) or (葡萄牙的首都是里斯本。)) and ((5 - -13) < (6 * 15) < (3 ** 2))
B. ((冰在常温下是固体。) and (地球是距离太阳第3近的行星。)) or ((青蛙有8条腿。) and (罗马尼亚的首都是布加勒斯特。))
C. (((-12 * -15) == (16 - 20)) or ((-14 - 17) >= (-18 + 16))) or (not ((3 ** 3) <= (-17 + -10) <= (8 * -10 * 2 * 2)))
D. ((氧气在常温下是液体。) or ((-2 + 1) >= (... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 60072401,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (((5 ** 2) < (1 - -8)) or (葡萄牙的首都是里斯本。)) and ((5 - -13) < (6 *... |
logic-v2 | Evaluate each expression below:
A. not not (not (((2 ** 1) <= (-3 * 17) <= (38 % 3)) or ((19 + -12) > (-15 * 6))))
B. not not ((15 - -10) < (4 + 4) < (5 ** 2))
C. ((not not (There are 30 days in December.)) or (Neptune is the 6th planet from the Sun.)) and (South Korea is in Europe.)
D. (A cod is a fish.) or ((((-11 +... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 15119290,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not not (not (((2 ** 1) <= (-3 * 17) <= (38... |
logic-v2 | 考虑以下布尔表达式：
A. not (((((蝙蝠是瞎的。) and (锡的化学符号是Sn。)) or (鲸鱼是鱼类。) or ((not ((6 - 13) >= (-7 * 3 * 0 * -9))) and (水蒸气在常温下是气体。))) and (((((-5 * -9 + -6 * -8) <= (1 * 0) <= (6 * -5 + 8 * 8)) or ((-19 - -17) >= (-6 - -4))) or (((4 % 9) <= (2 ** 1)) or ((3 ** 1) <= (-3 * -9 * -10 * -4)))) or ((-6 + 17) <= (-11 * 19) <= (47 % 6)... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 53198309,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not (((((蝙蝠是瞎的。) and (锡的化学符号是Sn。)) or (鲸鱼是鱼类。) or ((not ((6 - 13... |
logic-v2 | 研究以下逻辑语句：
A. not (((((油在常温下是气体。) or (空气在常温下是气体。)) or (1936年奥运会在柏林举办。)) or ((14 * 0) < (2 ** 3))) and ((十一月有30天。) or (1932年奥运会在洛杉矶举办。)) and ((not (((-12 - -8) > (34 % 8)) or ((7 * 5 - -3 * 3) >= (18 * -4)))) and (((瑞士的首都是雅加达。) or (1932年奥运会在东京举办。)) and (((5 * 4 - -9 * -2) > (-6 + 20)) and (丹麦的首都是哥本哈根。)))))
B. ((((人类有100... | {
"game_data": {
"answer": "A,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 56142938,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. not (((((油在常温下是气体。) or (空气在常温下是气体。)) or (1936年奥运会在柏林举办。)) or ... |
logic-v2 | Analyze these boolean expressions:
A. not not (Silver is a liquid at room temperature.)
B. (((47 % 1) == (10 * -17)) or (Germany is in Antarctica.)) and ((The 1964 Olympics were held in Tokyo.) or (Earth is the 4th planet from the Sun.)) and ((not ((-4 - 0) > (45 % 6))) and ((The square root of 25 is 5.) or (World War... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 42111717,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not not (Silver is a liquid at room temper... |
logic-v2 | 研究以下逻辑语句：
A. ((((((1 % 10) < (-4 * -9 + 7 * 5)) and (三月有31天。)) or ((金的化学符号是Zn。) and (空气在常温下是气体。))) and ((((2 * 5 + 4 * -9) < (18 - 11) < (-14 * 16)) or (2007年是闰年。)) or ((氦的化学符号是He。) and (1976年奥运会在洛杉矶举办。)))) and (not not ((7 % 8) < (11 - -2)))) and ((not not (巴西的货币是新加坡元。)) and ((not not ((以色列的货币是谢克尔。) or (韩国的货币是人民币。)))... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 73343855,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. ((((((1 % 10) < (-4 * -9 + 7 * 5)) and (三月有31天。)) or ((金的化学符号... |
logic-v2 | 给定以下布尔表达式：
A. not not (((((-7 * -2 + -8 * 5) >= (-3 + 14)) and ((3 * -9 - 8 * -1) < (-14 - 10) < (1 + -3))) and (((17 % 5) >= (-6 * 6 + 5 * -9)) or (钠的化学符号是Mg。))) or ((企鹅能飞翔。) or ((-2 * -9 * -10 * 1) == (5 ** 2))) or (not ((-4 * -17) < (-4 * 4 + -4 * 6))))
B. not not (((((-4 * -1 * -8 * -4) >= (3 ** 2)) or ((-3 + 12) ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 13887846,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. not not (((((-7 * -2 + -8 * 5) >= (-3 + 14)) and ((3 * -9 - 8 * ... |
logic-v2 | 评估以下每个表达式：
A. ((4 ** 2) <= (-20 * -20) <= (-10 * -7 * 10 * -3)) or (((13 + 9) < (17 * 14) < (19 + -16)) or ((1952年奥运会在赫尔辛基举办。) and (火星是距离太阳第8近的行星。)))
B. not (((9 * -5) <= (-4 + -20)) and (1大于37。))
C. ((-19 + -13) >= (-5 * -3 + -8 * 0)) and ((not not ((-11 - -15) < (7 * -10))) and (((28 % 8) != (-1 * 9 + 0 * 7)) and (1... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 32912798,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. ((4 ** 2) <= (-20 * -20) <= (-10 * -7 * 10 * -3)) or (((13 + 9) ... |
logic-v2 | Consider the following logical expressions:
A. ((The 1912 Olympics were held in Stockholm.) or (Venus is the 3rd planet from the Sun.)) or ((-20 + 14) >= (-9 - -18))
B. (not not ((11 + 11) < (-1 * -14) < (-20 - 19))) or (not not (The chemical symbol for Carbon is C.))
C. (The 1904 Olympics were held in St. Louis.) or ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 40434506,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. ((The 1912 Olympics were he... |
logic-v2 | 下面是几个布尔表达式：
A. not not ((not not ((-2 - -2) <= (-10 + -14))) and (((22 % 8) < (-11 * 3)) and (尼日利亚位于大洋洲。)))
B. ((铝的化学符号是Al。) or ((-18 * -20) <= (14 * 10) <= (1 ** 2))) or (not not ((-20 * -1) <= (-5 * 13)))
C. (not not (((-8 * -5 - -3 * -2) < (4 - -9) < (-8 - 20)) and (埃及的首都是墨西哥城。))) and ((not (地球是距离太阳第3近的行星。)) and (十... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 85034468,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. not not ((not not ((-2 - -2) <= (-10 + -14))) and (((22 % 8) < (-... |
logic-v2 | Review these logical expressions:
A. (3 * -6 + -1 * -10) < (19 + 7) < (2 * 5 - -8 * 5)
B. (((-6 - 20) < (-9 - 9)) and ((12 - 9) <= (14 % 9))) and (((-4 * 12) <= (10 + -14)) or (A elephant has 2 legs.))
C. ((10 * 0) != (20 * 15)) and (((-11 + 14) != (3 * -14)) or (There are 31 days in January.))
D. (not not (43 is divi... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 38216472,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. (3 * -6 + -1 * -10) < (19 + 7) < (2 * 5... |
logic-v2 | 分析以下逻辑表达式：
A. not not (((not not ((((-1 * 2 - 8 * -3) <= (-5 * 9 - -2 * 10) <= (14 * -10)) or (七月有30天。)) and ((9 * 7 - 4 * -3) <= (-6 + -18)))) and ((not (空气在常温下是固体。)) and ((丹麦的首都是哥本哈根。) and (铜的化学符号是Cu。))) and ((not not ((美国宣布独立发生在1776年。) or (金的化学符号是Al。))) or (南极洲是最冷的大陆。))) and (not (not ((-5 - -20) <= (5 * 12) <= (15... | {
"game_data": {
"answer": "B,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 50998196,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not not (((not not ((((-1 * 2 - 8 * -3) <= (-5 * 9 - -2 * 10... |
logic-v2 | 考虑以下布尔表达式：
A. not (((((-3 * -4 - 4 * -4) <= (-16 - -4)) or (一月有31天。)) or ((4 - 18) >= (-7 * 10 * 3 * 10))) or ((not not ((2 ** 1) < (39 % 8))) or (not ((2 ** 2) <= (16 - -13) <= (19 + 8)))))
B. not ((((猪有4条腿。) or (锡的化学符号是He。)) and (not (泰坦尼克号沉没发生在1912年。))) or (二月有28天。))
C. (not ((((13 + 19) >= (11 * -7)) and (1980年奥运会... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 52384988,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not (((((-3 * -4 - 4 * -4) <= (-16 - -4)) or (一月有31天。)) or ((4 -... |
logic-v2 | Study the following logical statements:
A. (((China is in Asia.) and (There are 31 days in August.)) or (((-2 - 15) > (20 * -3)) and ((-10 * 17) <= (-2 * -10)))) or ((The currency of Nigeria is the Naira.) and (22 is greater than 3.)) or (not (not ((14 - 16) == (-17 + 14))))
B. ((-17 - 15) >= (0 - -17)) or ((The squar... | {
"game_data": {
"answer": "A,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 45964209,
"true_count": 6
},
"question": "Study the following logical statements:\n\nA. (((China is in Asia.) and (... |
logic-v2 | 审视以下逻辑表达式：
A. (-9 * -10 - 2 * 9) <= (4 + -10)
B. not (人类只使用了大脑的10%。)
C. 地球是距离太阳第4近的行星。
D. ((钾的化学符号是Au。) or ((6 * 1) <= (48 % 8) <= (-10 + -14))) and ((12 * 4) < (5 ** 3) < (17 * 3))
E. (not not ((4 + 7) <= (-14 + 19))) and ((1992年奥运会在巴塞罗那举办。) or ((3 - -13) != (3 ** 1)))
F. ((地球上一天是24小时。) and (1920年奥运会在安特卫普举办。)) and ((... | {
"game_data": {
"answer": "B,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 37584739,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (-9 * -10 - 2 * 9) <= (4 + -10)\nB. not (人类只使用了大脑的10%。)\nC. 地球... |
logic-v2 | Evaluate each expression below:
A. (A spider has 8 legs.) and (not not (((-12 * -9) < (1 + 9) < (-12 - -4)) or (288 is a perfect square.)))
B. ((The capital of Canada is Ottawa.) and (Sound travels faster in a vacuum.)) and (Vietnam is in Asia.)
C. not ((Electricity flows faster than light.) and (((8 * 0 + -7 * -6) < ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 77921314,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. (A spider has 8 legs.) and (not not (((-12 * ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 短吻鳄是爬行动物。
B. 丹麦的货币是澳元。
C. (((16 * 1) < (17 + 13)) or ((41 % 5) <= (12 - 16))) or ((水在常温下是液体。) or (氧气对人类生存是必需的。))
D. 日本的首都是墨西哥城。
E. 鸭子是鸟类。
F. 64的平方根是11。
G. 油在常温下是液体。
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,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 45450668,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 短吻鳄是爬行动物。\nB. 丹麦的货币是澳元。\nC. (((16 * 1) < (17 + 13)) or... |
logic-v2 | 审视以下逻辑表达式：
A. ((not ((19 * 10) > (24 % 4))) or (not not (埃及的首都是开罗。)) or ((((14 % 7) <= (-5 * -7 + -1 * 6)) and (铜的化学符号是Mn。)) and (not ((6 - 5) >= (17 * 16))))) or (not not (((苏联解体发生在1991年。) and (2086年是闰年。)) or ((196的平方根是14。) or (汞在常温下是气体。))))
B. ((27能被4整除。) or (not ((18 + 7) >= (-15 - 16))) or ((第一次世界大战开始发生在1914年。) an... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 48415595,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((not ((19 * 10) > (24 % 4))) or (not not (埃及的首都是开罗。)) or ((((14... |
logic-v2 | 分析以下逻辑表达式：
A. not not (((镍的化学符号是Ni。) and (((蜻蜓是鸟类。) or ((-7 + -8) == (37 % 6))) or ((第一部iPhone发布发生在2007年。) and ((2 * 11) >= (3 ** 3))))) and (not not (not not (十月有30天。))) and ((((41 % 10) <= (-8 - -9)) or (乌克兰的首都是基辅。)) or (not ((12 - -18) > (-19 + -9))) or (闪电不会两次击中同一个地方。)))
B. (not (not not ((-7 * 1) != (8 - -13)))) ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 5543040,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not (((镍的化学符号是Ni。) and (((蜻蜓是鸟类。) or ((-7 + -8) == (37 % 6)))... |
logic-v2 | 研究以下逻辑语句：
A. ((11 * 15) < (-14 - 0) < (29 % 10)) or (中国的首都是奥斯陆。)
B. not not (((尼日利亚位于非洲。) or ((1 * 9 + 1 * 4) <= (-9 * -1 * 8 * -9) <= (8 % 3))) and ((5 ** 2) >= (1 * -15)))
C. not (十一月有30天。)
D. ((not (智利的首都是圣地亚哥。)) or (not (107是完全平方数。))) and (青蛙有4条腿。)
哪些语句为真？在 \boxed{} 中填入所有为真的选项标识，用逗号分隔。 | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 30164178,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. ((11 * 15) < (-14 - 0) < (29 % 10)) or (中国的首都是奥斯陆。)\nB. not not (... |
logic-v2 | Given the following boolean expressions:
A. not not (((not ((not not (Lightning never strikes the same place twice.)) and (((47 % 5) < (-6 * -1 + -6 * -7)) or ((-6 * -8 * -7 * -3) < (8 - 12))))) and (((not ((-1 * 9 + 4 * -5) >= (3 ** 3))) and ((A horse has 4 legs.) and (Wood is a solid at room temperature.))) or (The ... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 19267540,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not not (((not ((not not (Lightn... |
logic-v2 | Consider the following logical expressions:
A. not not ((not ((not not (((-10 + -11) < (0 * -9 + -7 * -5)) or (The capital of Brazil is Manila.))) and ((The capital of Malaysia is Athens.) and (not not (383 is a perfect square.))))) and ((not (The 1920 Olympics were held in Rome.)) and ((not ((-8 * 18) == (1 - 5))) or... | {
"game_data": {
"answer": "A,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 60205024,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. not not ((not ((not not (((... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((not not (((5 ** 2) == (1 ** 1)) and (美国宣布独立发生在1778年。))) or ((((6 * 8 + 8 * 4) == (18 + 6)) or (((-7 * 5 - 3 * 4) <= (-3 * -5 - -8 * -4) <= (-18 - -12)) and ((10 * -6 + -5 * -5) < (42 % 6)))) and (not not (((钻石由碳元素组成。) and ((30 % 9) < (37 % 2))) or ((水在常温下是气体。) or (越南位于欧洲。))))))
B. (not no... | {
"game_data": {
"answer": "B,C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 90191476,
"true_count": 6
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((not not (((5 ** 2) == (1 ** 1)) and (美国宣... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not (not ((not not (瑞典的货币是瑞士法郎。)) and (((-17 - 5) <= (-10 + -6)) and (氦的化学符号是He。))))) and ((not not (钻石在常温下是固体。)) and ((not ((-16 + -11) > (-10 * 1 - -5 * 9))) and (((10 + -18) == (-4 - -1)) and (汞的化学符号是Hg。))) and (not ((((9 * -8 - -10 * -8) > (-6 * -3 - -7 * -6)) and (智利位于南美洲。)) and ((钻石在常温下... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 31483358,
"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 ((not not (瑞典的货币是瑞士法郎。)) and (((-17 - 5) ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (not ((not (埃及的货币是加元。)) or ((not (南极洲是最冷的大陆。)) and (银的化学符号是Ag。)) or (not ((((6 + 8) < (4 ** 3)) and (英国的货币是雷亚尔。)) and ((8 - -2) < (2 % 2))))))
B. ((not not (not not ((天王星是距离太阳第7近的行星。) and (((-1 + -12) != (9 + 16)) or (硫的化学符号是S。))))) or (not not ((not ((肯尼亚位于非洲。) and (氦气在常温下是气体。))) or ((((4... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 42241114,
"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 ((not (埃及的货币是加元。)) or ((not (南极洲是最冷的大陆。)) ... |
logic-v2 | Given the following boolean expressions:
A. (not ((-3 * -10 * -7 * 0) <= (4 ** 3))) or (((-8 * 0 * 0 * -4) <= (15 + 8) <= (-5 - -2)) and (The currency of Saudi Arabia is the Dollar.)) or (((20 % 2) != (10 % 9)) or ((11 * 15) > (-3 + 17)))
B. ((-1 + 19) >= (50 % 1)) or ((not ((3 % 5) >= (-10 + 9))) and ((-10 * -1 * 3 *... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 68500122,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (not ((-3 * -10 * -7 * 0) <= (4 ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. The Pacific Ocean is the largest ocean.
B. not (not not (Jupiter is the 4th planet from the Sun.))
C. (not not (The currency of Colombia is the Dollar.)) or (not (Italy is in Europe.))
D. (((0 * 8 + 7 * 8) != (3 * -19)) or ((3 + -13) <= (... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 74252903,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 评估以下每个表达式：
A. (((铂的化学符号是Au。) or ((3 ** 1) == (35 % 1))) or (人类有2条腿。)) and ((239是斐波那契数。) and (not (钛的化学符号是Ti。)) and (((墨西哥的首都是雅典。) and ((12 + -5) < (5 * 9 - 6 * 10))) or ((1 ** 3) < (-1 + 2))))
B. (((((9 * -19) >= (12 - 19)) and ((16 - -11) > (4 + 1))) or ((12 + -12) > (-3 + -1))) or (((1 % 2) == (1 ** 2)) and (1968年奥运... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 28685050,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (((铂的化学符号是Au。) or ((3 ** 1) == (35 % 1))) or (人类有2条腿。)) and ((239是... |
logic-v2 | Study the following logical statements:
A. not (not (not not ((The first moon landing occurred in 1969.) and ((((4 % 4) >= (-13 - 5)) or (Mars is the 4th planet from the Sun.)) or (((-7 + 10) < (1 * -7)) and (Whales are fish.))))))
B. (not ((not (not (((-13 - 8) == (-1 - -11)) and (Electricity flows faster than light.... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 2324639,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not (not (not not ((The first moon l... |
logic-v2 | Evaluate each expression below:
A. not not ((not not (not not ((not (Saturn is the 6th planet from the Sun.)) or (There are 29 days in October.)))) or (((not not (not not ((2 ** 2) != (-7 + 2)))) and ((11 + 6) <= (13 + 15))) and (((The capital of Canada is Santiago.) and (((-2 * -10 - 1 * 4) >= (-6 * -20)) or ((-6 * -... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 21408925,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not not ((not not (not not ((not (Saturn is t... |
logic-v2 | 分析以下逻辑表达式：
A. ((49 % 6) != (-10 * -7 * 3 * 9)) and ((海王星是距离太阳第4近的行星。) or (铜在常温下是固体。))
B. not ((海王星是距离太阳第8近的行星。) and ((-8 + -7) <= (15 % 1)))
C. ((9 * 4 * 7 * 2) < (-16 * 2)) and (not not (闪电不会两次击中同一个地方。))
D. (-18 + -13) <= (-15 + 6)
E. not (波兰的首都是哈瓦那。)
F. not ((第二次世界大战开始发生在1937年。) and ((4 ** 1) > (7 * 0)))
G. (((10 + ... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 86764917,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((49 % 6) != (-10 * -7 * 3 * 9)) and ((海王星是距离太阳第4近的行星。) or (... |
logic-v2 | Evaluate each expression below:
A. not not (not (((((Carbon dioxide is a solid at room temperature.) and (Peru is in South America.)) or (((-14 + 5) <= (2 ** 1)) and ((-3 + -13) < (12 * -13)))) and (not not ((The human body has 206 bones.) or ((-8 * 3 * 10 * 0) >= (-17 * 20))))) and (((-3 - -14) <= (2 ** 1) <= (-9 * -... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 13802244,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not not (not (((((Carbon dioxide is a sol... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not not (((((钻石由碳元素组成。) and ((15 - 20) != (-6 * -1 - -2 * 0))) and (孔雀是爬行动物。)) and ((((34 % 1) == (10 + -7)) or ((20 * -20) < (-1 * 7 - 6 * 2))) and (not not ((9 % 4) < (4 ** 3) < (-2 * -3))))) or ((not not (印度位于亚洲。)) and (巴西位于南美洲。)))) or (not not ((((空气在常温下是固体。) or (越南的货币是卢比。)) and ((2024年奥运... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 94044720,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (not not (((((钻石由碳元素组成。) and ((15 - 20) != (-6 * -1 -... |
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