env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Given the following boolean expressions:
A. not (not (((((-4 * 10 * 2 * -3) != (12 - -13)) and ((2 * 9 - -3 * 2) > (5 ** 2))) or ((Christopher Columbus reached America occurred in 1492.) and (The currency of Thailand is the Krona.)) or (not not ((New Zealand is in Europe.) and (Sound travels faster in a vacuum.)))) or... | {
"game_data": {
"answer": "A,B,C,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 20718354,
"true_count": 6
},
"question": "Given the following boolean expressions:\n\nA. not (not (((((-4 * 10 * 2 ... |
logic-v2 | 考虑以下布尔表达式：
A. ((88大于77。) or ((5 ** 2) < (-12 - 2))) or (((4 + 19) <= (-6 + -14)) and ((1 + -16) == (-11 + -18))) or ((((3 * -1 * -7 * -7) > (3 ** 2)) or ((6 % 5) <= (-17 - -9))) and ((人类有6条腿。) and ((-16 - -17) != (-6 + -2))))
B. ((2 * 7 * -10 * 9) < (3 * 5 * -10 * 5)) or ((-16 - -20) >= (7 * 10 + -5 * -4))
C. ((-7 + 1... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 4182205,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((88大于77。) or ((5 ** 2) < (-12 - 2))) or (((4 + 19) <= (-6 + -1... |
logic-v2 | Below are several boolean expressions:
A. A day on Earth is 24 hours.
B. (The capital of Portugal is Lisbon.) and (not (68 is a Fibonacci number.)) and (((10 * -2 - 9 * 9) < (-6 - 10)) and ((There are 31 days in July.) and ((-5 * 8 - -8 * 6) <= (2 * 6 * 8 * -10) <= (3 ** 1))))
C. (174 is an odd number.) or ((((-18 + 3... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 9298259,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. A day on Earth is 24 hours.\nB. (The ca... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((第一次世界大战结束发生在1919年。) or (马来西亚的首都是哥本哈根。)) and (not not (芬兰的首都是利雅得。))) or (哥伦比亚位于南美洲。)) and ((((法国大革命开始发生在1789年。) and (水星是距离太阳第1近的行星。)) and (not not ((1 ** 3) < (4 * 6 * 9 * -2) < (-10 - -20)))) or (not not ((-16 * -17) <= (-13 + -15))))
B. (not not ((15 % 9) != (18 - -16))) or ((-3 * 7) == (10 % ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 12352200,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((第一次世界大战结束发生在1919年。) or (马来西亚的首都是哥本哈根。)) and (not not (... |
logic-v2 | Study the following logical statements:
A. not ((The 2016 Olympics were held in Rio de Janeiro.) and ((((-2 + -3) != (-2 + 3)) and (The currency of Thailand is the Baht.)) and (((-9 - 6) != (-2 + -6)) or ((10 - 18) <= (2 ** 1) <= (-19 - -4)))))
B. (((((50 % 8) <= (-3 - -4) <= (13 + -2)) or (Mercury is the 5th planet f... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 69625005,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. not ((The 2016 Olympics were he... |
logic-v2 | 检验这些表达式：
A. not not ((-3 * 10 - -2 * -8) == (17 + 3))
B. 冰的密度比液态水小。
C. (((2026年是闰年。) and (氮气在常温下是固体。)) or (阿根廷位于南美洲。)) and (not not ((16 - 3) >= (13 + 2))) and ((印度尼西亚位于亚洲。) or (not not (空气在常温下是液体。)))
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": 3,
"language": "cn",
"num_options": 3,
"seed": 15580237,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not ((-3 * 10 - -2 * -8) == (17 + 3))\nB. 冰的密度比液态水小。\nC. (((2026... |
logic-v2 | 审视以下逻辑表达式：
A. (((((48 % 4) >= (18 % 7)) or ((-11 * -15) > (-11 + -7))) and (not ((13 * 0) > (-3 * -4 * 9 * -4)))) or (not (not ((-11 - -17) == (13 + -6))))) or ((((金星是距离太阳第8近的行星。) or ((11 + 2) < (6 % 10))) and (((-15 * -8) < (7 + -12) < (-11 + 7)) and (海王星是距离太阳第8近的行星。))) and (((火星是距离太阳第4近的行星。) or (意大利的首都是罗马。)) or ((2 ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 52144567,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (((((48 % 4) >= (18 % 7)) or ((-11 * -15) > (-11 + -7))) and (not ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((4 ** 3) > (1 * -4 * -9 * 7)) and (((-12 - 9) != (-7 - -10)) or (The capital of Mexico is Mexico City.)) and (((The capital of Norway is Oslo.) and ((-6 * 7 - 10 * 10) > (4 ** 2))) and (((-1 - 3) >= (42 % 3)) or (The 1936 Olympics were held in Athens.)))) and (((3 **... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 25317548,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((4 ** 3) > (1 * -4 * -9 * 7)... |
logic-v2 | Review these logical expressions:
A. (not not ((((The capital of Russia is Moscow.) and ((-1 + 7) > (-11 - 15))) or (not (Earth is the 5th planet from the Sun.))) and (((8 - 4) == (4 ** 3)) and (((1 ** 2) > (-7 * -18)) and (The 1928 Olympics were held in Amsterdam.))))) or (not not ((not not ((10 + 5) == (-7 * -4))) o... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 72601829,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. (not not ((((The capital of Russia ... |
logic-v2 | 下面是几个布尔表达式：
A. (((not ((尼日利亚位于非洲。) or ((14 - -6) == (11 - 2)))) and ((1920年奥运会在安特卫普举办。) and ((-6 * -2 * 10 * 9) < (3 * -1) < (7 * -4 + 3 * -8))) and (not (not not (猪有4条腿。)))) and (((not (1913年是闰年。)) or (((-19 * 12) <= (9 - -7) <= (0 - 11)) or (银在常温下是固体。))) and (((-20 + 11) <= (2 ** 3) <= (-15 * -6)) or (1930年是闰年。)))) ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 34581297,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (((not ((尼日利亚位于非洲。) or ((14 - -6) == (11 - 2)))) and ((1920年奥运会在安... |
logic-v2 | Below are several boolean expressions:
A. ((The chemical symbol for Oxygen is O.) and ((A whale is a mammal.) or ((-2 * -5 * -7 * 0) != (-17 - -1)))) and ((The currency of Switzerland is the Zloty.) or ((-9 + 17) > (4 ** 3))) and ((1 ** 3) <= (2 + 1) <= (20 * 1))
B. ((-2 * -1) <= (-19 + -5) <= (3 * 13)) and (not not (... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 5508328,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. ((The chemical symbol for Oxygen is O... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (-7 * -4) > (5 + 6)
B. The Berlin Wall fell occurred in 1991.
C. not not (The currency of Canada is the Peso.)
D. (-11 + -9) < (-1 - -20)
E. ((68 is a prime number.) or ((7 - -15) < (-10 + -17))) or ((World War II ended occurred in 1945.)... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 71412506,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Given the following boolean expressions:
A. not (not (((not (not ((16 - -6) <= (2 + 9)))) and (not not ((50 % 2) <= (48 % 8) <= (15 - 5)))) or ((((71 is a prime number.) and ((3 + 18) > (5 ** 2))) and (not (A duck has 10 legs.))) or (not (not not (2098 is a leap year.))))))
B. not ((not ((not (not not ((2 * 6 * 10 * -... | {
"game_data": {
"answer": "A,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 40494132,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. not (not (((not (not ((16 - ... |
logic-v2 | 研究以下逻辑语句：
A. ((水星是距离太阳第3近的行星。) and ((-17 + 5) != (-12 - 9))) and (((3 * -7 * -3 * 10) != (-10 * 3 - -8 * 3)) and ((-5 * 1 + 5 * 0) < (4 + 13) < (-19 - 12)))
B. 金星是距离太阳第2近的行星。
C. (月球绕地球运转。) or ((13 - -15) >= (13 + -2))
D. not not (not not ((-5 * 5 + -1 * 1) < (-8 * -8 - -4 * 0)))
E. not (((13 - 17) == (12 * 1)) or ((5 ... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 70550492,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. ((水星是距离太阳第3近的行星。) and ((-17 + 5) != (-12 - 9))) and (((3 * -7... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not (((not (((-2 * 7 + 0 * -3) == (18 * -7)) or ((8 * -2) == (44 % 2)))) and (not not (((-9 * -4 * 3 * 9) < (-10 * -19) < (-7 * 0 * 4 * 10)) and ((3 - 11) < (-17 + 9))))) or ((((The capital of Vietnam is Hanoi.) and (The capital of Greece is Athens.)) and ((The 19... | {
"game_data": {
"answer": "C,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 75029971,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not (((not (((-2 ... |
logic-v2 | 检验这些表达式：
A. ((not not (not (not not ((2 ** 2) <= (3 ** 1) <= (9 * -10 * 4 * 2))))) or ((壁虎是鱼类。) and ((135是奇数。) or ((法国大革命开始发生在1789年。) and ((19 * 11) >= (4 * -13)))))) and (not (not ((11 - 17) < (1 ** 1) < (2 ** 1))))
B. not not (not (((-2 * -9 - -7 * -4) < (5 ** 3)) or (not ((-7 - -19) < (2 * -13) < (-7 + 14))) or ((n... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 9045606,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. ((not not (not (not not ((2 ** 2) <= (3 ** 1) <= (9 * -10 * 4 *... |
logic-v2 | 考虑以下布尔表达式：
A. not (((-3 * -1 + -3 * 5) == (-11 - -9)) and ((-2 * -8 + 4 * -4) != (-6 + -13)))
B. (1 ** 2) > (-8 * -8 + -1 * -5)
C. not ((氧气对人类生存是必需的。) and (丹麦的货币是克朗。))
D. ((-16 * -8) == (-4 - 16)) or ((1952年奥运会在赫尔辛基举办。) and ((9 * 1 + -2 * 3) != (5 - 20)))
E. (not ((33 % 5) <= (5 * 2) <= (-9 * 6 - -10 * 7))) or (not ((... | {
"game_data": {
"answer": "A,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 17373252,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. not (((-3 * -1 + -3 * 5) == (-11 - -9)) and ((-2 * -8 + 4 ... |
logic-v2 | 给定以下布尔表达式：
A. not (锰的化学符号是Mn。)
B. not not (一月有29天。)
C. 钻石由碳元素组成。
D. ((35 % 2) != (5 % 4)) and ((智利的首都是圣地亚哥。) or ((2068年是闰年。) or ((-10 * -7 - 9 * -4) != (6 * 6 - -8 * -1))))
E. not not (not ((植物通过光合作用产生氧气。) or ((-7 * 19) < (-12 * -13))))
选出所有值为 True 的选项。在 \boxed{} 中以逗号分隔的形式给出答案。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 50394599,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not (锰的化学符号是Mn。)\nB. not not (一月有29天。)\nC. 钻石由碳元素组成。\nD. ((35 % 2)... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not ((not not (((4 ** 1) == (-3 + -3)) and ((-14 - 5) <= (9 + -20)))) and (((A bird has 2 legs.) or ((10 * 3 * 9 * -10) <= (20 % 4) <= (13 + -6))) or ((The currency of Denmark is the Krone.) and (New Zealand is in Asia.))))) or (((not ((China is in Asia.) or (Saturn i... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 95017118,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not ((not not (((4 ** 1... |
logic-v2 | Review these logical expressions:
A. not (not not (((6 * 9 * 0 * 7) > (4 * 12)) and ((13 * 0) != (8 - -18))))
B. (((-6 * 9 + 8 * -1) >= (3 * 8)) or ((The Great Fire of London occurred in 1666.) or ((16 - -5) == (12 * -19)))) or (The 1988 Olympics were held in Berlin.) or (((The speed of light is approximately 300,000 ... | {
"game_data": {
"answer": "A,B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 86924905,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. not (not not (((6 * 9 * 0 * 7) > (4... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((not (not (水星是距离太阳第1近的行星。))) or (人体有150块骨头。) or (not not (not not (水星是距离太阳第7近的行星。))))
B. ((第一次世界大战开始发生在1914年。) and ((((-1 * -4 - 9 * 3) >= (19 % 7)) or (日本的首都是东京。)) or (((8 * 1 * 4 * 8) <= (15 + 9)) or ((-3 - 1) == (-9 * 11))))) or (秘鲁位于亚洲。) or (((13 - -16) <= (-3 * -12)) and (not (匈牙利的货币是英镑。)) ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 74675945,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not ((not (not (水星是距离太阳第1近的行星。))) or (人体有150块骨头。) or (not no... |
logic-v2 | Study the following logical statements:
A. (not ((Saturn is the 6th planet from the Sun.) or (Earth is the 1st planet from the Sun.))) or (((The currency of Singapore is the Rand.) and ((not (There are 31 days in November.)) or (((13 + 9) > (5 * 0)) or ((22 % 2) < (-13 + 6))))) and (((not not ((-14 - -9) >= (8 * -2 * ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 99358320,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (not ((Saturn is the 6th planet fro... |
logic-v2 | Below are several boolean expressions:
A. Brazil is in South America.
B. ((2 ** 3) <= (-8 * 16) <= (-9 + 15)) or (((-15 * 16) < (1 * 6 + 7 * 9)) and ((12 * 11) >= (10 % 5)))
C. (((8 * 9 * 0 * 5) < (-19 * 20) < (6 % 9)) and ((18 * 20) != (1 ** 3))) or (not (Mercury is the 1st planet from the Sun.))
D. ((Diamonds are ma... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 10883245,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. Brazil is in South America.\nB. ((2 ... |
logic-v2 | 评估以下每个表达式：
A. ((1936年奥运会在亚特兰大举办。) and ((1 ** 1) < (-10 + 13))) or (not not (金星是距离太阳第5近的行星。))
B. (36 % 4) < (11 * 17) < (-14 + -18)
C. ((水在海平面上的沸点是100摄氏度。) and ((-7 * -20) >= (29 % 5))) or (not not (菲律宾的首都是利雅得。))
D. not not (not ((-10 * -11) >= (1 * 0 - 10 * -9)))
E. (not ((1 + -4) == (0 * 7 * 10 * 3))) or ((新西兰位于大洋洲。)... | {
"game_data": {
"answer": "C,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 52601689,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. ((1936年奥运会在亚特兰大举办。) and ((1 ** 1) < (-10 + 13))) or (not not... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (((not (not not (not not ((18 * 6) <= (5 ** 2) <= (1 ** 3))))) or (not not (((17 + -2) > (-10 * -18)) and ((86 is divisible by 7.) and ((-11 * 8) == (-20 * -2)))))) and (((((The chemical symbol for Silver is Au.) and (The human body h... | {
"game_data": {
"answer": "A,B,C,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 17109433,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
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 ((1992年奥运会在亚特兰大举办。) and ((27 % 1) == (-6 + 18)))) or (((水在常温下是液体。) and ((-5 * 5 + -10 * 0) > (2 ** 1))) or (((23 % 3) >= (-6 - -7)) or ((13 - 14) <= (16 - 14) <= (0 - 7))))) and ((22 % 2) != (-4 * 10 + 7 * 9)) and ((肯尼亚位于非洲。) or ((-12 + 2) >= (3 + 9)))))
B. not not (((((伦敦大火发生在... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 18482210,
"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 ((1992年奥运会在亚特兰大举办。) and ((27 % 1) =... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((not ((A lobster has 10 legs.) or (The currency of Denmark is the Krone.))) and ((((The capital of Peru is Lima.) or (The 1896 Olympics were held in Rome.)) and (((8 * 0) != (-19 + -16)) or ((1 ** 1) >= (18 % 1))) and ((7 * 9 * 6 * 8) >= (7 - -16))) or ((not not (not ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 26768815,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((not ((A lobster has 10 leg... |
logic-v2 | 分析以下逻辑表达式：
A. not ((not not (((not ((-2 * -4 + 4 * 0) < (-8 + 4))) and (((-13 * 1) != (-12 + -1)) and (地球是距离太阳第5近的行星。))) and (((3 * -19) == (2 + 0)) or (not ((-5 * -1 * -6 * 6) == (-19 * -10)))))) and (((水在海平面上的沸点是100摄氏度。) and (三月有29天。)) or (not (((印度位于亚洲。) and (鸭子是鱼类。)) and (((34 % 3) < (9 * -19) < (12 * -20)) or ((1... | {
"game_data": {
"answer": "A,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 85959084,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. not ((not not (((not ((-2 * -4 + 4 * 0) < (-8 + 4))) and (((-1... |
logic-v2 | 审视以下逻辑表达式：
A. (not not ((((((-9 * -10 - 8 * -7) > (23 % 7)) and (人类首次登月发生在1969年。)) or (((2 ** 2) < (26 % 2)) or (鸭子是鸟类。))) and (((伦敦大火发生在1666年。) and (1992年奥运会在墨尔本举办。)) or (not (埃及位于非洲。)))) and ((not (1952年奥运会在赫尔辛基举办。)) or (((-18 - 15) > (17 * -17)) and ((18 % 4) == (-8 * 3 + -1 * -2))) or (((9 * 2 + 9 * -9) >= (-6 - -... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 70297469,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (not not ((((((-9 * -10 - 8 * -7) > (23 % 7)) and (人类首次登月发生在1969... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not ((((-19 + -7) < (5 ** 2)) and (not ((Mars is the 4th planet from the Sun.) and (The speed of light is approximately 300,000 km/s.)))) or (not not (not not (not ((6 + -18) <= (9 - -3))))))) and (not (not not (not (((Humans only us... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 81173029,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Analyze these boolean expressions:
A. not ((((((Saturn is the 6th planet from the Sun.) or ((20 * 8) > (14 * -6))) and ((15 + -3) <= (15 * -6) <= (9 - -1))) or ((4 + -6) >= (34 % 8))) and (not (((2053 is a leap year.) or ((-4 + -4) < (16 + -17))) or (not not (The 2012 Olympics were held in Athens.))))) and ((not not (... | {
"game_data": {
"answer": "A,B,D,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 51390072,
"true_count": 7
},
"question": "Analyze these boolean expressions:\n\nA. not ((((((Saturn is the 6th pl... |
logic-v2 | 检验这些表达式：
A. 第二次世界大战结束发生在1945年。
B. (not (俄罗斯位于北美洲。)) or (菲律宾的货币是澳元。)
C. (1 * 3 + -1 * 10) > (-6 * -20)
D. ((8 - -19) == (4 * 6 - 4 * -6)) and ((-15 - -9) <= (-3 * -9 - 7 * 8))
E. (地球绕太阳运转。) or (((-6 * 1) > (-19 + -17)) and (现代奥运会首届举办发生在1896年。))
哪些是真的？在 \boxed{} 中列出所有为真选项的标识，用逗号分隔。 | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 95594136,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. 第二次世界大战结束发生在1945年。\nB. (not (俄罗斯位于北美洲。)) or (菲律宾的货币是澳元。)\nC. (1 ... |
logic-v2 | Below are several boolean expressions:
A. not (((not (not not (not (The Great Fire of London occurred in 1666.)))) or ((There are 31 days in May.) and (((-12 - -13) <= (10 - 9)) or (India is in Asia.)))) and (not not (((The chemical symbol for Sodium is H.) and ((4 % 9) >= (40 % 2))) and (not not ((16 % 6) < (-9 * -9 ... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 49320820,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not (((not (not not (not (The Great ... |
logic-v2 | Analyze these boolean expressions:
A. (not not (((Earth is the 7th planet from the Sun.) or ((-7 * -8 - -3 * 5) < (10 - -11))) and (The currency of South Africa is the Won.))) and (not (((The currency of Philippines is the Peso.) and ((A human has 10 legs.) or (The currency of Mexico is the Franc.))) and (((Nigeria is... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 10403218,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (not not (((Earth is the 7th planet from t... |
logic-v2 | 研究以下逻辑语句：
A. ((((欧盟的货币是加元。) or ((33 % 9) <= (12 - -12)) or ((-9 + 0) <= (0 - -17) <= (-1 - 7))) or ((2012年奥运会在首尔举办。) or (((4 + -16) <= (5 ** 2)) and (智利位于南美洲。)) or (not not ((鲤鱼是鱼类。) or ((23 % 4) > (3 ** 2)))))) and (not not ((not ((12 * 8) != (-15 * -4))) and ((((14 * 10) == (11 - -2)) or (木星是距离太阳第5近的行星。)) or ((12 - ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 57369808,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. ((((欧盟的货币是加元。) or ((33 % 9) <= (12 - -12)) or ((-9 + 0) <= (0 - -... |
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 (巴西位于欧洲。)) or (油在常温下是液体。) or (((冰在常温下是液体。) or (not not ((12 % 3) != (6 - 12)))) or (((20 * -20) == (-20 + 10)) or (774是斐波那契数。)) or ((1 - -13) < (4 ** 2) < (0 * 10 * 0 * -8)))))
B. not not ((not (((五月有31天。) and ((铜在常温下是固体。) or ((33 % 1) <= (21 % 10)))) and (not not ((-7 * 17) < (... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 33789390,
"true_count": 4
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not (not ((not (巴西位于欧洲。)) or (油在常温下是液体。) or (((冰在... |
logic-v2 | Examine these expressions:
A. ((The currency of Vietnam is the Koruna.) and ((not (62 is a prime number.)) or ((The Sun revolves around the Earth.) and (The chemical symbol for Chromium is Cr.)))) or (not not ((not ((-20 * -14) < (-13 - -2))) or (not ((9 + 9) != (-2 * 8 - -8 * -3)))))
B. (not (((-19 * 5) < (-7 * -4)) ... | {
"game_data": {
"answer": "A,B,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 70666992,
"true_count": 6
},
"question": "Examine these expressions:\n\nA. ((The currency of Vietnam is the Koruna.... |
logic-v2 | Examine these expressions:
A. not not (((not not (The chemical symbol for Nickel is Ni.)) and (not not (not not (The 1908 Olympics were held in Helsinki.)))) or ((not not (not ((-16 + -4) > (16 % 2)))) or (not not (((The 2024 Olympics were held in Paris.) and ((5 ** 2) < (-4 * 5))) and (((4 - -15) == (11 % 3)) or (The... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 82278330,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not (((not not (The chemical symbol for Nick... |
logic-v2 | 考虑以下布尔表达式：
A. (not not ((锰的化学符号是Si。) and ((-8 + -18) == (-4 * -8)))) or (印度尼西亚位于南美洲。)
B. (((-9 * -3 * -10 * 3) < (4 ** 1)) or (匈牙利的货币是福林。)) or ((((12 + 18) <= (3 ** 3)) or ((-18 * -10) <= (7 * 3 - -8 * 8))) and (not (海王星是距离太阳第8近的行星。)))
C. not not ((水蒸气在常温下是气体。) or ((2 * 5 + 4 * 0) <= (-8 * -20)))
D. not not (意大利的首都是罗马... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 70060376,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (not not ((锰的化学符号是Si。) and ((-8 + -18) == (-4 * -8)))) or (印度尼... |
logic-v2 | Below are several boolean expressions:
A. not (Saturn is the 6th planet from the Sun.)
B. not not (((The 2016 Olympics were held in Atlanta.) and (The capital of Denmark is Bogota.)) or (((9 * 9 - -6 * -2) >= (13 * 20)) or ((1 * -17) > (-2 * 9 * -4 * -8))))
C. (((The chemical symbol for Neon is Mn.) or (The currency o... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 7917090,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not (Saturn is the 6th planet from the ... |
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 (((-14 * 19) >= (-7 * -7 - 7 * 5)) and (氧气在常温下是气体。))) and (海王星是距离太阳第8近的行星。) and ((((41 % 7) < (3 ** 2)) or ((哥伦比亚位于南美洲。) and (1904年奥运会在伦敦举办。))) and (not not ((18 - 19) >= (2 ** 2))) and ((not not (尼日利亚的首都是开罗。)) and (钻石在常温下是固体。)))) and (not not (not not (((15 + -12) > (15 + 1... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 97438211,
"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 (((-14 * 19) >= (-7 * -7 - 7 * 5... |
logic-v2 | Given the following boolean expressions:
A. not not ((not ((not (The capital of Colombia is Bogota.)) or ((United States is in North America.) or (Sound cannot travel through a vacuum.)))) or (((((-14 + -1) != (-3 * 5 + 5 * 5)) and ((-9 - 4) < (-7 * -3 - 6 * -9))) and ((A shark is a fish.) and (The 2004 Olympics were ... | {
"game_data": {
"answer": "A,B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 71530312,
"true_count": 7
},
"question": "Given the following boolean expressions:\n\nA. not not ((not ((not (The... |
logic-v2 | 审视以下逻辑表达式：
A. (((((-2 * -7 - 9 * 1) >= (-9 * 13)) and ((-17 * -18) <= (5 - -11) <= (-18 + 4))) and (not not (二月有28天。))) or (((阿根廷位于北美洲。) or (水在常温下是液体。)) and (not ((5 * 0 - 8 * -5) < (5 * -15))))) or ((((16 * -2) == (27 % 6)) or (天王星是距离太阳第4近的行星。)) and ((十一月有28天。) or ((-16 - 9) != (7 + 14)))) or (not not (摩洛哥的首都是吉隆坡。))
... | {
"game_data": {
"answer": "A,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 54729172,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. (((((-2 * -7 - 9 * 1) >= (-9 * 13)) and ((-17 * -18) <= (5 -... |
logic-v2 | 研究以下逻辑语句：
A. not not (((((-5 * -7 * 0 * -8) >= (-2 * -7 - 7 * 7)) or ((捷克的首都是哈瓦那。) or ((3 ** 2) > (-2 * -10 - -1 * 5))) or ((((13 - 0) != (-3 - -10)) or ((5 + -5) == (-8 * 5))) or (not (木头在常温下是固体。)))) or (not (((9 * 2 + 10 * -5) <= (-10 + 9)) and (巴西位于南美洲。))) or (not not (((声音在真空中传播更快。) or ((46 % 7) < (-16 + 0))) or (... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 8047449,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. not not (((((-5 * -7 * 0 * -8) >= (-2 * -7 - 7 * 7)) or ((捷克的首都是... |
logic-v2 | Study the following logical statements:
A. not not ((((-14 * -11) >= (1 ** 2)) or ((6 - -8) != (7 * 4 * -10 * -10))) and (((8 % 8) >= (10 * -9 - -10 * 7)) or (Lightning never strikes the same place twice.)))
B. (((The chemical symbol for Phosphorus is P.) and ((1 - 10) <= (3 ** 3))) or (Diamond is a solid at room temp... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 19590394,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not ((((-14 * -11) >= (1 ** 2))... |
logic-v2 | 下面是几个布尔表达式：
A. not ((-19 * 1) < (3 - -8))
B. ((空气在常温下是气体。) or (印度尼西亚的首都是雅典。)) and (((9 * 18) >= (1 * -17)) and ((1 - -6) != (0 * -8)))
C. (4 * -3 + 4 * 8) < (8 * -5) < (1 + -19)
D. (((18 % 2) < (15 * 8) < (2 ** 2)) or (油在常温下是固体。)) and (捷克的货币是克朗。)
E. not ((12 * 17) < (5 * 2))
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选项标识。 | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 55038315,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not ((-19 * 1) < (3 - -8))\nB. ((空气在常温下是气体。) or (印度尼西亚的首都是雅典。))... |
logic-v2 | Review these logical expressions:
A. (not not (not ((-20 * -8) != (26 % 1)))) or (((not not (The square root of 4 is 15.)) and ((not not (Gold is a solid at room temperature.)) and (((-19 + 15) == (-18 * 7)) and ((-11 - 15) < (8 + -11))))) and ((The chemical symbol for Carbon is Au.) and ((not ((-5 + 14) < (7 * 7 + -5... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 83242331,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. (not not (not ((-20 * -8) != (26 % 1)))) or... |
logic-v2 | 研究以下逻辑语句：
A. ((((一月有31天。) and ((1 * 3 * -10 * -1) <= (-7 * 7 * 1 * 0) <= (6 + -17))) and (not not ((8 * -5) < (-7 * -5 + -8 * -5) < (17 - -8)))) and ((氮的化学符号是Mn。) or (俄罗斯的首都是莫斯科。)) and ((((-2 * -5 + -2 * -2) > (5 - -16)) or ((-20 + 4) <= (-2 * -7) <= (-6 + -8))) and (not ((-6 * 2 + 9 * 5) >= (-20 + -6))))) or ((not no... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 80556910,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. ((((一月有31天。) and ((1 * 3 * -10 * -1) <= (-7 * 7 * 1 * 0) <= (6 ... |
logic-v2 | 评估以下每个表达式：
A. (not (not (蛇有0条腿。))) and (((8 * 8 - -5 * 0) < (-20 * 8) < (-2 * 5)) or (地球绕太阳运转。) or (not ((水星是距离太阳第5近的行星。) and ((0 * -13) < (-13 * -11) < (16 - 15))))) and ((((铜在常温下是固体。) or ((火星是距离太阳第5近的行星。) and (法国位于北美洲。))) and (中国的货币是林吉特。)) or ((第二次世界大战开始发生在1941年。) and ((((-18 - 4) >= (0 * -3 - -7 * 3)) and (狗是哺乳动物。)... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 63763220,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (not (not (蛇有0条腿。))) and (((8 * 8 - -5 * 0) < (-20 * 8) < (-2 ... |
logic-v2 | 给定以下布尔表达式：
A. (((1980年奥运会在亚特兰大举办。) or (not ((鸡有2条腿。) and ((3 % 8) <= (-13 * -9))))) or (马来西亚的首都是安卡拉。) or (not not (42是质数。))) and (((第一次世界大战开始发生在1915年。) or ((火星是距离太阳第8近的行星。) or ((11 - -12) != (4 ** 1)))) or (马来西亚的货币是林吉特。) or (not ((not not (海王星是距离太阳第8近的行星。)) and ((-12 * 15) > (6 - 4)))))
B. not (not ((美国宣布独立发生在1766年。) ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 48185230,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (((1980年奥运会在亚特兰大举办。) or (not ((鸡有2条腿。) and ((3 % 8) <= (-13 * -9))... |
logic-v2 | Review these logical expressions:
A. (Copper is a gas at room temperature.) or (not ((12 % 8) <= (-1 + 11)))
B. ((The capital of Chile is Santiago.) or (1926 is a leap year.)) or ((The capital of Belgium is Vienna.) or ((25 % 1) != (-17 * -2)))
C. ((13 - 3) != (-17 + 10)) and (((4 + 8) > (-12 + -11)) and (The currency... | {
"game_data": {
"answer": "B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 75293295,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. (Copper is a gas at room temperatur... |
logic-v2 | 给定以下布尔表达式：
A. (1 ** 1) != (-5 * -2 - 6 * -5)
B. (墨西哥的首都是罗马。) or (((6 - 4) != (9 - -11)) or ((5 - 13) == (-3 * -8 - 5 * 2)))
C. ((印度位于亚洲。) or ((11 * -4) != (2 ** 1))) or (墨西哥的首都是墨西哥城。)
D. (-11 - 8) != (18 - 9)
E. (((13 * -1) <= (2 ** 2)) and ((4 ** 1) != (0 + 7))) or ((木星是距离太阳第5近的行星。) or (1964年奥运会在慕尼黑举办。))
F. (not not ... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 96310767,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. (1 ** 1) != (-5 * -2 - 6 * -5)\nB. (墨西哥的首都是罗马。) or (((6 - ... |
logic-v2 | Evaluate each expression below:
A. not (((((44 % 4) == (5 * -20)) and (not (The capital of Philippines is Ankara.))) or ((17 % 8) >= (2 ** 3))) and (not not ((0 + 13) <= (-12 - -9))) and (((not not ((2 - 2) != (-11 - -7))) or (((-11 - -17) < (12 * -18)) and ((0 - -14) > (-10 - 4)))) and ((The currency of Nigeria is th... | {
"game_data": {
"answer": "A,C,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 48628545,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not (((((44 % 4) == (5 * -20)) and (not... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not (((((12 + -2) < (9 - -5)) or (((-1 + -9) != (-7 * -9 + -5 * 9)) and ((15 + -19) >= (12 % 4)))) and ((The 2024 Olympics were held in Paris.) or ((Water is a liquid at room temperature.) or ((8 * 0 * -10 * -3) >= (6 - 19))))) or (not not ((Sound travels fast... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 27027597,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not (((((12 + -... |
logic-v2 | 检验这些表达式：
A. not not (not (欧盟的货币是欧元。))
B. ((((-8 + 8) > (4 ** 3)) or ((10 + 10) != (-1 * -1))) and (((-1 - 16) > (17 - -1)) and ((-15 + -18) < (1 ** 3)))) and ((not not (大象有4条腿。)) or (not (1965年是闰年。)))
C. ((not not ((-15 - -8) < (23 % 4))) or (德国位于欧洲。)) or (((1934年是闰年。) or ((-12 + -9) != (21 % 7))) and ((9 % 9) > (20 *... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 12429426,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not (not (欧盟的货币是欧元。))\nB. ((((-8 + 8) > (4 ** 3)) or ((10 + 10) ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not (((The 1948 Olympics were held in London.) and (A snake has 0 legs.)) and (The currency of Vietnam is the Dong.))) or (not not (not not (((13 * -12) < (3 ** 1)) and ((0 + 14) != (-3 * 12)))))) or (((The chemical symbol for Hydrogen ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 89162460,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | 给定以下布尔表达式：
A. (十一月有30天。) or (1的平方根是1。)
B. (巴西的首都是巴西利亚。) and (声音在真空中传播更快。)
C. not not (((-19 * -6) > (5 - 5)) or ((乌克兰的首都是基辅。) and (韩国位于亚洲。)))
D. (氧气在常温下是气体。) or (not not (not ((29 % 1) < (20 - 11) < (0 * -15))))
E. not ((not not ((15 % 3) <= (13 - 12) <= (4 ** 2))) or ((-9 * -5 + -6 * -9) > (50 % 2)))
F. (not (((-8 * ... | {
"game_data": {
"answer": "A,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 77219952,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. (十一月有30天。) or (1的平方根是1。)\nB. (巴西的首都是巴西利亚。) and (声音在真空中传播更快... |
logic-v2 | 分析以下逻辑表达式：
A. (瑞典的首都是斯德哥尔摩。) or ((三月有31天。) and (((6 - -17) <= (-6 + 15)) or ((3 ** 3) <= (3 * 15))))
B. (not not ((钾的化学符号是K。) or ((5 ** 3) != (0 * -4 - -8 * -7)))) or (莱特兄弟首次飞行发生在1903年。) or (天王星是距离太阳第4近的行星。)
C. not not (钠的化学符号是Mg。)
D. ((-13 + 20) >= (49 % 8)) and ((((17 % 6) != (-10 - 16)) or ((6 * 6 - 5 * -9) == (-6 ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 79832715,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. (瑞典的首都是斯德哥尔摩。) or ((三月有31天。) and (((6 - -17) <= (-6 + 15)) or ... |
logic-v2 | 下面是几个布尔表达式：
A. not (((-18 + 8) <= (7 - -12)) or (巴西位于亚洲。))
B. ((((-20 - 17) == (10 * 6 - -1 * -1)) and ((8 * -5) != (-2 * -1 + -4 * -3))) or (135是偶数。)) and (not not (((7 + -14) < (-4 * -20)) and ((3 ** 3) != (5 * 13))))
C. (((6 * 17) < (5 - 14) < (-20 * 5)) and (((3 ** 3) > (1 ** 3)) and (七月有31天。))) or ((8 - 16) > (-4... | {
"game_data": {
"answer": "C,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 99988165,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not (((-18 + 8) <= (7 - -12)) or (巴西位于亚洲。))\nB. ((((-20 - 17) =... |
logic-v2 | Below are several boolean expressions:
A. not not (not (((A horse has 8 legs.) or ((The chemical symbol for Carbon is C.) or (The 1964 Olympics were held in London.)) or ((((7 % 3) < (8 - -11)) or ((-6 - 3) > (16 + -19))) and (((19 - 11) <= (15 + -18) <= (-18 - 13)) or (The 2020 Olympics were held in Athens.)))) and (... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 56914821,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not (not (((A horse has 8 legs... |
logic-v2 | Examine these expressions:
A. (((not (The capital of Japan is Tokyo.)) and ((3 * 3 + -4 * -6) >= (-1 - -2))) or ((((-2 * 9) == (-1 * -8)) or ((-4 * -2 - -1 * 0) == (-6 * -3))) and (not ((-4 - -16) > (3 ** 2))))) or (((-17 + 3) > (-19 + -4)) and (India is in Asia.) and (The currency of India is the Rupee.))
B. (((((3 -... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 99221124,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (((not (The capital of Japan is Tokyo.)) and (... |
logic-v2 | Consider the following logical expressions:
A. (((15 * 4) > (-13 * -18)) or (Earth is the 1st planet from the Sun.) or (The capital of Singapore is Abuja.)) or ((The United States declared independence occurred in 1776.) or (((20 % 9) > (30 % 1)) and (There are 31 days in January.))) or (((-10 * -3) >= (16 + -10)) or ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 65264173,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (((15 * 4) > (-13 * -18)) or (E... |
logic-v2 | Study the following logical statements:
A. not not ((not ((7 + -20) < (6 * -15))) or (not not ((not (A snake has 100 legs.)) or ((14 - 14) <= (13 + -2)))))
B. (not not ((not not ((The capital of Czech Republic is Bangkok.) or ((-4 + 3) >= (19 - -17)))) and (((306 is a Fibonacci number.) or ((0 + -9) <= (34 % 8) <= (4 ... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 12568669,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not not ((not ((7 + -20) < (6 * -... |
logic-v2 | 评估以下每个表达式：
A. (not not ((not ((32 % 5) == (-10 - 18))) or ((-4 * -8 * 4 * 5) < (5 * 0 * -1 * 1)))) or (((-10 * 1) < (34 % 10) < (-1 * 6)) or ((沙特阿拉伯的首都是利雅得。) and (259是斐波那契数。)) or ((not not (826是斐波那契数。)) or (not (1924年是闰年。))))
B. (not ((((-11 - -20) <= (5 * 0 + 3 * -1)) and ((14 * -5) == (-3 * -5 - 6 * -10))) and (二氧化碳... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 71412905,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (not not ((not ((32 % 5) == (-10 - 18))) or ((-4 * -8 * 4 * 5) <... |
logic-v2 | Analyze these boolean expressions:
A. not ((50 is an odd number.) and (((The Soviet Union dissolved occurred in 1991.) or ((-16 * 10) != (17 * -5))) or ((Oxygen is a liquid at room temperature.) and ((2 ** 3) < (-12 * -19)))))
B. ((Saudi Arabia is in Asia.) and ((-19 * -7) != (-15 + 9))) or ((((34 % 10) > (-10 * -8 - ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 25893940,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not ((50 is an odd number.) and (((The S... |
logic-v2 | 研究以下逻辑语句：
A. ((not (not ((18 * 2) > (-14 - 2)))) or ((104是完全平方数。) and (((45 % 3) < (26 % 6)) or ((11 % 8) >= (-14 + 6))) and (not (((-4 * 9 - 9 * 10) == (10 * 4 - -9 * 4)) and ((-6 * -8 + 4 * -8) > (3 * 16)))))) or (not not (((((-11 + 6) > (16 + -16)) and ((0 * 10 * -10 * -1) != (5 + -1))) or (((13 % 9) < (34 % 8)) or... | {
"game_data": {
"answer": "A,B,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 72261894,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. ((not (not ((18 * 2) > (-14 - 2)))) or ((104是完全平方数。) and (((4... |
logic-v2 | Evaluate each expression below:
A. not not (not ((42 % 8) <= (35 % 3)))
B. (not not ((2 - 16) != (10 - 16))) or (World War II began occurred in 1939.)
C. (((9 + -1) < (-17 - -5)) and ((-20 + 1) < (0 * -1) < (1 * 12))) and (((-13 * 14) <= (6 - -13)) or ((0 * 0 * -1 * 3) < (-3 + 15)))
D. ((2 ** 2) >= (-7 * -20)) and (Th... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 44162921,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not not (not ((42 % 8) <= (35 % 3)))\nB. (not... |
logic-v2 | Review these logical expressions:
A. (not not ((93 is a prime number.) or (A pig has 10 legs.))) and (not ((not not ((6 * 6 * 5 * 3) <= (-3 + 18) <= (-3 + -3))) or ((3 ** 2) >= (2 * 0)))) and (((not (((-20 - 19) < (20 + -2) < (-14 + -11)) or ((-5 + -5) <= (4 ** 3)))) or (not ((The 1996 Olympics were held in Paris.) or... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 40086145,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. (not not ((93 is a prime number.) or (A pig... |
logic-v2 | Examine these expressions:
A. (not not ((not not (not ((-18 * 13) > (-5 * -8)))) and ((not not (The Great Fire of London occurred in 1666.)) and ((273 is a perfect square.) and (A kangaroo has 10 legs.))))) or (not not ((17 is divisible by 12.) or (Peru is in North America.)))
B. (((not (Plants produce oxygen through ... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 62635264,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. (not not ((not not (not ((-18 * 13) > (-5 * ... |
logic-v2 | Given the following boolean expressions:
A. (12 - -7) >= (3 * 6 * -7 * 5)
B. ((Australia is in Antarctica.) and ((12 * 11) == (9 % 9))) or (((4 + 15) <= (-10 - 7) <= (-9 * 6 - 0 * 5)) or (The chemical symbol for Sodium is Ca.))
C. (((-4 + -9) != (15 + 3)) and ((10 * -10) < (-1 * 5))) or (((19 + -5) >= (-1 + -3)) and (... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 59503543,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (12 - -7) >= (3 * 6 * -7 * 5)\nB... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not (((The Titanic sank occurred in 1912.) and ((3 % 6) <= (5 ** 1) <= (1 ** 2))) or (((3 ** 1) >= (4 * 1 + 0 * -8)) and ((10 - 16) >= (3 ** 2))))) or (Neptune is the 6th planet from the Sun.) or ((not ((There are 31 days in October.... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 16307935,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Below are several boolean expressions:
A. 34 is divisible by 10.
B. ((The currency of Brazil is the Real.) and ((10 * 8 + -10 * -6) < (1 * 4 + -3 * 9) < (1 ** 2))) and (not (The capital of Morocco is Rabat.))
C. The capital of Netherlands is Bucharest.
D. A parrot is a bird.
E. ((-4 * 4 * -6 * -6) <= (3 * -9 + 2 * -9)... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 89898784,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. 34 is divisible by 10.\nB. ((The curre... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not not (not not ((-8 - -3) != (-2 * 2 * 9 * -10)))) or ((5 ** 2) >= (-2 * 16))) or (((not (The 1900 Olympics were held in Stockholm.)) and (The currency of European Union is the Lira.)) or (The 2020 Olympics were held in Munich.))
B. (... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 535439,
"true_count": 2
},
"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 ((-20 - 14) <= (6 - 18) <= (12 + -12)))
B. (not ((-15 - 19) > (-5 * 8 - -4 * 3))) or ((not not (((-14 - -17) <= (31 % 5)) and (The capital of Argentina is Buenos Aires.))) or ((The first iPhone was released occurred in 2007.) or (((2 ** 1) <= (-6 - 18)) and (The curren... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 16473962,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not (not not ((-20 - 14) <= (6 - 18) <= (12... |
logic-v2 | 下面是几个布尔表达式：
A. not ((not (((not not (法国大革命开始发生在1799年。)) and ((-17 + 6) <= (0 * -10) <= (5 + -12))) and (not (not not ((-6 - 0) <= (-8 * -8 - 2 * -5) <= (-6 * -9)))))) or (not not ((1960年奥运会在罗马举办。) or (((8 * -16) < (5 * 3) < (10 + -5)) or (秘鲁的货币是索尔。)) or (((4 * 8 + -10 * 1) != (-1 - -14)) or (((27 % 4) < (8 * 7 - -5 * ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 55135920,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. not ((not (((not not (法国大革命开始发生在1799年。)) and ((-17 + 6) <= (0 * -... |
logic-v2 | 下面是几个布尔表达式：
A. not (not not ((智利位于南美洲。) or (铁在常温下是固体。)))
B. not not (月球自己发光。)
C. (土星是距离太阳第6近的行星。) or (((大象有4条腿。) and (四月有30天。)) and ((-18 - 6) > (-14 - 12)))
D. ((((-16 * -12) < (-15 + 15) < (-10 + -5)) or (越南的首都是河内。)) and ((0 * 6 * 0 * -8) >= (45 % 8))) and (钴的化学符号是Au。) and (not ((铁的化学符号是H。) or (油在常温下是固体。)))
E. not n... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 1205929,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not (not not ((智利位于南美洲。) or (铁在常温下是固体。)))\nB. not not (月球自己发光。... |
logic-v2 | 分析以下逻辑表达式：
A. not not (((第二次世界大战结束发生在1945年。) or ((395是完全平方数。) and ((10 * 14) != (3 + 10)))) or ((((8 % 6) >= (17 * -9)) or (木星是距离太阳第5近的行星。)) and ((火星是距离太阳第4近的行星。) and ((0 + -17) <= (12 - 11)))))
B. (not not ((not (猫有4条腿。)) and ((48是完全平方数。) and (19是质数。)))) and ((not (((-14 + 12) <= (-6 - 12)) or ((15 * 5) <= (-3 + -5))... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 95761233,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not (((第二次世界大战结束发生在1945年。) or ((395是完全平方数。) and ((10 * 14) !... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not ((Air is a solid at room temperature.) or ((((49 % 1) != (13 + -3)) and (United States is in Asia.)) and (59 is divisible by 5.)))) or ((not not (not not ((16 * -20) == (-8 * -10 - 6 * 9)))) and (not not (not not ((4 * 2 * -4 * -4) < (5 ** 3)))) and ((The currency... | {
"game_data": {
"answer": "A,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 79298450,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not ((Air is a solid at... |
logic-v2 | 审视以下逻辑表达式：
A. 1980年奥运会在雅典举办。
B. not (蝙蝠是瞎的。)
C. 钾的化学符号是K。
D. (not (中国长城是在一年内建成的。)) and ((二氧化碳在常温下是气体。) or ((9 - 11) <= (-1 + 13)))
E. ((金在常温下是固体。) or ((6 + 7) > (-1 + 4))) or (not (鲨鱼是哺乳动物。))
F. not ((狗有4条腿。) and (1964年奥运会在东京举办。))
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 53551614,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. 1980年奥运会在雅典举办。\nB. not (蝙蝠是瞎的。)\nC. 钾的化学符号是K。\nD. (not (中国长城... |
logic-v2 | 检验这些表达式：
A. ((not not (((((6 * 1 - -9 * -3) <= (29 % 3) <= (5 ** 3)) or (埃及的首都是开罗。)) and ((5 + -19) < (8 - 2))) and (not (德国位于北美洲。)))) and ((not not (((西班牙位于南美洲。) and (乌克兰的首都是基辅。)) and (((8 % 2) < (-9 * 8 - 4 * 8) < (-10 * -14)) and ((25 % 5) < (44 % 6) < (10 * -13))))) and (not ((1 + -18) <= (-4 + 16))))) or (not not... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 24611299,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. ((not not (((((6 * 1 - -9 * -3) <= (29 % 3) <= (5 ** 3)) or (埃... |
logic-v2 | 考虑以下布尔表达式：
A. (((not not ((9 % 6) <= (9 % 5) <= (-10 + -13))) or (第一部iPhone发布发生在2007年。)) or ((-11 * 15) < (32 % 3) < (-3 - -9))) and (((50 % 9) == (-9 - -4)) or (1968年奥运会在巴黎举办。))
B. ((not ((20 + -2) < (-9 * 11) < (-19 - 19))) or (汞在常温下是气体。)) and ((4 ** 3) >= (-2 * 4 + -10 * -8)) and ((not ((水星是距离太阳第2近的行星。) or (猫头鹰是爬行动... | {
"game_data": {
"answer": "C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 97256276,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. (((not not ((9 % 6) <= (9 % 5) <= (-10 + -13))) or (第一部iPh... |
logic-v2 | Below are several boolean expressions:
A. not not (not (The capital of Brazil is Santiago.))
B. (((The currency of China is the Yuan.) or (Uranus is the 7th planet from the Sun.)) or (not ((-8 * -10 - -3 * -3) < (-13 - -8)))) and (not not ((13 * -10) < (16 - -17))) and ((The square root of 100 is 10.) and ((Mercury is... | {
"game_data": {
"answer": "A,B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 15074632,
"true_count": 6
},
"question": "Below are several boolean expressions:\n\nA. not not (not (The capital of... |
logic-v2 | 评估以下每个表达式：
A. (not not (((5 * 9 - -6 * 4) != (7 * 14)) or (月球绕地球运转。))) or ((not ((1 ** 1) < (-6 * -7 - 10 * -3) < (-6 * 20))) and (((9 * 4 - 7 * -1) >= (1 * -8 * 10 * 0)) or (144的平方根是12。)))
B. ((((-1 * -6 + 5 * 5) >= (-8 + 15)) or ((0 + -18) < (6 * 4))) or ((十一月有31天。) or ((3 * -11) != (1 * 3)))) or (金星是距离太阳第6近的行星。)
C.... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 94795873,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (not not (((5 * 9 - -6 * 4) != (7 * 14)) or (月球绕地球运转。))) or ((... |
logic-v2 | Below are several boolean expressions:
A. ((not (not not (((-8 * -4 - -2 * -4) <= (2 ** 3)) and (The 1936 Olympics were held in Berlin.)))) or (not not (not ((The Titanic sank occurred in 1912.) or ((-8 + -1) == (-5 * 10 * -10 * 3)))))) or ((not (((The capital of Germany is Berlin.) or ((-1 + -4) > (14 % 8))) or (A lo... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 44436845,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. ((not (not not (((-8 * -4 - -2 * -... |
logic-v2 | Consider the following logical expressions:
A. (not (Light travels faster than sound.)) or ((((26 % 3) <= (9 * -7 + 0 * -1)) or ((18 * 13) != (-17 * -17))) or ((89 is a prime number.) and (The currency of Argentina is the Dollar.)))
B. not ((not (The capital of Italy is Kyiv.)) and (((29 % 10) != (13 - 15)) and (Human... | {
"game_data": {
"answer": "A,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 90033017,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. (not (Light travels faster ... |
logic-v2 | 审视以下逻辑表达式：
A. (-14 + -2) > (13 * -6)
B. not (水在常温下是液体。)
C. 水在海平面上的沸点是100摄氏度。
D. ((水蒸气在常温下是气体。) and (镁的化学符号是Mg。)) and (not (蜥蜴是爬行动物。))
E. (((-7 * 4 - 8 * -5) != (-15 - -12)) and (南非位于欧洲。)) or ((铜的化学符号是Cu。) or (美国宣布独立发生在1775年。))
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 26521827,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (-14 + -2) > (13 * -6)\nB. not (水在常温下是液体。)\nC. 水在海平面上的沸点是100摄氏... |
logic-v2 | 给定以下布尔表达式：
A. (not not (((not (((19 * -10) < (4 ** 2)) and (蛇有8条腿。))) or (((14 * 20) < (15 + -17) < (-11 + 20)) and (海王星是距离太阳第2近的行星。)) or (not (360是完全平方数。))) or (((氖的化学符号是Ne。) and ((-19 + -18) != (10 % 10))) and (not not (瑞士的货币是瑞士法郎。))) or (not not (not not ((蝴蝶有6条腿。) and (新西兰位于大洋洲。)))))) and (not (not ((not (((-18 + ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 95076895,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not not (((not (((19 * -10) < (4 ** 2)) and (蛇有8条腿。))) or (((14 *... |
logic-v2 | Consider the following logical expressions:
A. (not (not not (((-20 * 16) <= (2 ** 1)) and (not not ((-6 - -15) > (12 * -13)))))) or (((The chemical symbol for Carbon is Fe.) and (The Titanic sank occurred in 1912.)) and (((not not (The Berlin Wall fell occurred in 1989.)) or (((4 - 19) <= (-13 - 15) <= (-1 - -20)) or... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 59534898,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. (not (not not (((-20 * 16) <= (2 ... |
logic-v2 | Below are several boolean expressions:
A. (not ((The 1912 Olympics were held in Stockholm.) or (((16 % 5) >= (-4 * 10 + 5 * 6)) and ((1 ** 3) <= (2 ** 1))))) and (not ((((18 * -7) != (-12 + 14)) and (The currency of Thailand is the Baht.)) and (not (Neptune is the 1st planet from the Sun.))))
B. (not not (((There are ... | {
"game_data": {
"answer": "C,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 7476772,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. (not ((The 1912 Olympics were hel... |
logic-v2 | 下面是几个布尔表达式：
A. 锡的化学符号是Cu。
B. (((5 + 5) < (-14 * 18) < (9 % 8)) and (猫头鹰是昆虫。)) and ((4 * 0 * 6 * 1) < (-4 * 1 - 5 * 7) < (18 - 14))
C. (((-19 * 7) != (3 % 4)) or ((-7 * 20) == (4 ** 3))) and (韩国位于欧洲。)
D. not not (苏联解体发生在1991年。)
E. (1996年奥运会在亚特兰大举办。) and (水在海平面上的沸点是100摄氏度。)
F. 金的化学符号是Zn。
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 804695,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. 锡的化学符号是Cu。\nB. (((5 + 5) < (-14 * 18) < (9 % 8)) and (猫头鹰是昆虫。)) a... |
logic-v2 | 评估以下每个表达式：
A. not ((氮气在常温下是气体。) and ((-8 - 7) >= (2 - 19)))
B. not (((48 % 4) != (9 % 7)) or (海王星是距离太阳第7近的行星。))
C. (not not (莱特兄弟首次飞行发生在1902年。)) or (挪威的货币是克朗。)
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 50608711,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not ((氮气在常温下是气体。) and ((-8 - 7) >= (2 - 19)))\nB. not (((48 % 4) !... |
logic-v2 | 评估以下每个表达式：
A. (not (not (not not ((2 ** 3) >= (-5 - 20))))) and (((not (((捷克的货币是克朗。) or ((8 - -2) > (16 + -14))) or (((1 + -11) > (4 % 5)) and ((40 % 7) < (-12 + -6) < (5 ** 3))))) or (not not ((not not ((-12 * -11) >= (-11 + 17))) and (((17 * 19) <= (-3 * 10 + -2 * 1)) or (加拿大位于大洋洲。))))) and (not ((5 + -4) != (42 % 3... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 64722748,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (not (not (not not ((2 ** 3) >= (-5 - 20))))) and (((not (((捷克的货... |
logic-v2 | 下面是几个布尔表达式：
A. (((中国的首都是马德里。) or ((((-14 - 12) == (12 + -18)) and ((4 ** 2) <= (3 * -2 + 1 * 5))) and (not not ((-12 - -2) >= (8 - -4))))) or (not (not (((-19 + -8) != (-6 - -1)) and (122是偶数。))))) or (not not (秘鲁位于南极洲。)) or ((((南极洲是最冷的大陆。) or (1920年奥运会在东京举办。)) or ((10 - 1) != (5 ** 3))) and ((9 - 14) > (16 + -12)) and... | {
"game_data": {
"answer": "A,B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 60839979,
"true_count": 7
},
"question": "下面是几个布尔表达式：\n\nA. (((中国的首都是马德里。) or ((((-14 - 12) == (12 + -18)) and ((... |
logic-v2 | 审视以下逻辑表达式：
A. ((not not ((((-9 - 5) > (20 + -6)) or (1964年奥运会在东京举办。)) or ((2067年是闰年。) and ((-9 + 15) != (13 + 11))))) or (((-14 + -2) < (-19 - -10)) and (闪电不会两次击中同一个地方。))) or (not not (((not not ((-4 - 3) == (-7 - 20))) or ((-17 * 19) != (-1 - -14))) or ((1 * 3) >= (-3 * 6 * 8 * -10))))
B. (not (not (((匈牙利的货币是福林。) or ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 27465080,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((not not ((((-9 - 5) > (20 + -6)) or (1964年奥运会在东京举办。)) or ((206... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (((not (乌克兰的首都是基辅。)) or ((258是斐波那契数。) and (海王星是距离太阳第7近的行星。))) and (加拿大位于非洲。))
B. (not (((55小于等于64。) or (狗有4条腿。)) or ((锡的化学符号是Au。) or ((-3 + -9) >= (1 * -4 - 1 * -10))))) and ((-19 * -18) != (-4 - -1)) and (not (乌鸦是鸟类。))
C. not not (not (((99是质数。) and (光速比声速快。)) and (((-7 + 17) > (5 * 18)) a... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 42608636,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (((not (乌克兰的首都是基辅。)) or ((258是斐波那契数。) and (海王星是距离太阳第... |
logic-v2 | 分析以下逻辑表达式：
A. not ((55大于93。) and (((3 * -2 - 5 * -4) < (34 % 3) < (7 * -16)) and ((-10 * 5 - 6 * -2) != (11 + 11))))
B. (((4 * -1 * -4 * -2) >= (3 * -20)) and (not (钻石在常温下是固体。))) or (((-7 * 10 - -8 * 9) == (8 * 1 * 0 * -9)) or (哥伦布到达美洲发生在1490年。)) or (磷的化学符号是P。)
C. ((not (鸡有2条腿。)) or ((铝的化学符号是Mn。) and (泰坦尼克号沉没发生在1912年。... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 10372234,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. not ((55大于93。) and (((3 * -2 - 5 * -4) < (34 % 3) < (7 * -16))... |
logic-v2 | Analyze these boolean expressions:
A. not not (not not (((((There are 31 days in January.) and ((-13 - -19) == (-16 * 16))) and (((10 - -6) <= (5 ** 3) <= (-5 + -14)) or (Nitrogen is a gas at room temperature.))) or (There are 31 days in May.) or (The capital of Greece is Athens.)) or (((-8 * 9 - 3 * -5) == (8 - -19))... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 931188,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not (not not (((((There are 31 days in... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((not (((A octopus has 2 legs.) or ((A elephant is a mammal.) and (The capital of Romania is Bucharest.))) or (not (The currency of Nigeria is the Naira.)))) and (((The capital of India is Caracas.) and ((The capital of Norway is Oslo.) and ((35 % 7) <= (6 - 13))) ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 59053424,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((not (((A octopus has 2 l... |
logic-v2 | 下面是几个布尔表达式：
A. not not (((((天王星是距离太阳第7近的行星。) or ((人类首次登月发生在1969年。) and (天王星是距离太阳第7近的行星。))) and (not not (硅的化学符号是Si。)) and ((南非位于南极洲。) and (((-20 + -3) < (8 - -12)) and (西班牙位于欧洲。)))) or ((1900年奥运会在洛杉矶举办。) and ((声音在真空中传播更快。) and ((墨西哥位于南极洲。) or ((8 * 7 - 10 * -9) != (-20 - 17)))))) and ((((6 - -4) >= (34 % 3)) and ((-19... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 14156808,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not not (((((天王星是距离太阳第7近的行星。) or ((人类首次登月发生在1969年。) and (天王星是距离... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not not ((not not ((Diamonds are made of carbon.) and (((15 * -6) <= (11 * -14)) or ((3 * -9 * 4 * 6) > (18 + 17))))) or (not ((-13 * 10) < (1 ** 2)))))
B. not (((not ((-12 - 5) > (2 ** 2))) or (not (((62 is less than or equal to 7.)... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 10270188,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
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