env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((挪威的货币是里亚尔。) and (鸭子有2条腿。)) or (not ((7 * 3 * -3 * -5) >= (2 ** 3)))
B. (瓢虫是昆虫。) and ((1992年奥运会在雅典举办。) or (海王星是距离太阳第8近的行星。))
C. ((38 % 3) < (19 - 7) < (3 * 4)) and (((9 * -2 * -5 * -3) <= (-2 * -8 + -8 * -1)) or ((4 ** 2) < (6 * -4 * -4 * -6)))
D. (((3 + -17) == (-16 + 11)) or (铜在常温下是固体。)) or... | {
"game_data": {
"answer": "B,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 40325452,
"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. ((挪威的货币是里亚尔。) and (鸭子有2条腿。)) or (not ((7 * 3 * -3... |
logic-v2 | Analyze these boolean expressions:
A. not ((not (Whales are fish.)) and ((((India is in Asia.) and (The capital of Italy is Lima.)) or ((The capital of Turkey is Ankara.) or (There are 28 days in February.))) and (((1999 is a leap year.) or ((-4 * 5) == (-20 + 8))) and (((20 - -2) < (-8 - 1)) or ((8 % 4) < (1 * 10))))... | {
"game_data": {
"answer": "A,B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 93853932,
"true_count": 7
},
"question": "Analyze these boolean expressions:\n\nA. not ((not (Whales are fish.)) ... |
logic-v2 | Below are several boolean expressions:
A. not (((3 ** 3) <= (6 - 4) <= (-11 + 2)) or ((5 * -5 - -9 * -5) > (-8 + -9)))
B. (-3 * 10) >= (2 ** 3)
C. The human body has 206 bones.
Identify all expressions that are true. Answer with the option labels separated by commas in \boxed{}. | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 64997747,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not (((3 ** 3) <= (6 - 4) <= (-11 + ... |
logic-v2 | Analyze these boolean expressions:
A. The human body has 206 bones.
B. not ((The 1976 Olympics were held in Montreal.) and (A cod is a fish.))
C. (-5 * 10 + -8 * 2) > (-20 + -12)
D. not ((The 2020 Olympics were held in Tokyo.) and (The 1992 Olympics were held in Barcelona.))
E. not not ((3 + -2) >= (-8 * 2 * 3 * 4))
... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 36847944,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. The human body has 206 bones.\nB. not ((... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (not not ((19 * -11) < (28 % 10) < (-11 * 1)))) and ((not not ((not not (The 2012 Olympics were held in Munich.)) or (not not (Japan is in North America.)))) and ((not not ((The capital of Singapore is Amsterdam.) and (Helium is a ga... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 22619446,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((18 + 1) == (-5 * -9 - 9 * -4)) and (氧的化学符号是H。))
B. 1896年奥运会在东京举办。
C. not (((-6 - -13) != (12 * 2)) or ((-10 * -5) < (8 * -7 * -1 * 9)))
D. ((2004年奥运会在北京举办。) or (老虎是哺乳动物。)) or (not not ((-14 - 6) != (5 * -2)))
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 75399158,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not not (((18 + 1) == (-5 * -9 - 9 * -4)) and (氧的化学符号是H。))\nB. 189... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not ((-7 + 11) < (3 + -7))) and ((A fish has 8 legs.) and ((-15 - -14) >= (19 * -8)))
B. The Titanic sank occurred in 1912.
C. (-1 * -9 + -9 * -8) == (9 * 20)
D. (((14 * -11) >= (-4 * 6)) or (Indonesia is in Antarctica.)) or (((-7 * -3 * -2 * -7) >= (-8 * -13)) or... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 84434812,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not ((-7 + 11) < (3 +... |
logic-v2 | Review these logical expressions:
A. (((((-20 - -11) != (3 ** 3)) or (not not ((1 ** 3) > (46 % 4)))) or (Light travels faster than sound.)) or ((not not (Nitrogen is a gas at room temperature.)) and (((-3 * -7 + -8 * 0) < (19 * 4) < (1 * 0 * -5 * 6)) or ((2 * 10) > (-8 * -10))) and (The currency of Peru is the Naira.... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 84326631,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. (((((-20 - -11) != (3 ** 3)) or (not no... |
logic-v2 | Examine these expressions:
A. (not not (((((-10 - 3) > (4 + 16)) or (Oxygen is necessary for human survival.)) or (((-9 + -13) == (8 * -9 + 5 * -10)) and (559 is a Fibonacci number.))) or ((-5 * -3 - 10 * -8) <= (19 - 8)))) or (not (not ((Spiders are insects.) or (not ((-5 * -8 + -1 * 3) <= (6 * -5 - -5 * -5))))))
B. ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 95811971,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (not not (((((-10 - 3) > (4 + 16)) or (Oxygen is... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((((196的平方根是2。) or ((沙特阿拉伯的首都是新德里。) and ((4 ** 2) > (8 * -6 + 3 * 9))) or ((45 % 3) < (-3 * 20))) or ((((-16 + 0) != (16 - 19)) or (1908年奥运会在里约热内卢举办。)) or (not not ((-19 - 17) != (10 * 9 - 7 * -7)))) or (not (((5 % 5) <= (1 * 9 + 3 * -2) <= (8 * 3 + -6 * -5)) and (巴西位于南美洲。)))) and (not not ... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 29871608,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((((196的平方根是2。) or ((沙特阿拉伯的首都是新德里。) and ((4 **... |
logic-v2 | 考虑以下布尔表达式：
A. 冰的密度比液态水小。
B. (not not (not (not (not not (((9 * -13) > (-8 * -4 + 3 * -7)) and (章鱼有8条腿。)))))) and ((((1932年奥运会在洛杉矶举办。) and (越南位于南美洲。)) or ((not ((-3 * 8 * -1 * -1) != (-9 * 3 - -1 * 5))) or (((4 ** 1) > (4 * -7 * 9 * 2)) or (二氧化碳在常温下是固体。))) or (((3 + 17) > (5 ** 1)) and ((((11 + 18) >= (-12 * -9)) or (硅... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 85016163,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. 冰的密度比液态水小。\nB. (not not (not (not (not not (((9 * -13) > (-8 * -4 ... |
logic-v2 | 检验这些表达式：
A. ((((not not ((6 - 20) >= (-2 * 6 + -4 * 7))) or (not not ((-16 + -18) >= (-15 - -19)))) and (氮气在常温下是液体。)) or (((秘鲁的货币是索尔。) and ((18 * -11) < (-15 * -17))) or (((6 % 3) < (-11 + -13)) and (鳟鱼是爬行动物。))) or (((((-16 + -7) < (1 * -9 + -1 * 9)) or (天王星是距离太阳第7近的行星。)) or (((6 - -10) != (12 * -5)) or ((-10 * 8 + 6 ... | {
"game_data": {
"answer": "C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 14921320,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. ((((not not ((6 - 20) >= (-2 * 6 + -4 * 7))) or (not not ((-16 +... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not ((not (380是完全平方数。)) or (声音无法在真空中传播。))) and (not ((12 - -6) != (0 * 7 - 1 * 6)))) or (((1976年奥运会在蒙特利尔举办。) and ((12 + 14) >= (3 % 4))) and ((油在常温下是气体。) or (银的化学符号是Na。)) and (((沙特阿拉伯位于大洋洲。) or (192是完全平方数。)) and ((6 % 4) < (-10 * 4 + -6 * 8)))) or ((not ((苏联解体发生在1991年。) or (not not ((6 - -3) == (8... | {
"game_data": {
"answer": "B,C,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 1310795,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. ((not not ((not (380是完全平方数。)) or (声音无法在真空中传播。))) and (not ((... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((((-1 * 1 + -2 * 0) < (20 % 7)) or (埃及位于非洲。)) or (((2 ** 3) >= (5 * 8 + 7 * -1)) or (尼日利亚位于南美洲。))) or ((猫有4条腿。) or ((印度尼西亚的首都是渥太华。) and ((-8 * 3 + 5 * 0) > (11 * -8))))) and (not not (((8 - 9) < (-4 - 5)) or ((氮的化学符号是Si。) or ((14 + 4) != (6 * 9)))))) or ((声音在真空中传播更快。) or ((-20 - -9) != (-1 - -2)... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 81994229,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((((-1 * 1 + -2 * 0) < (20 % 7)) or (埃及位于非洲。)) or ((... |
logic-v2 | Examine these expressions:
A. not (not (not (not not (((4 ** 3) <= (-8 * 2 * -10 * 7) <= (-18 + -3)) and (Indonesia is in Asia.)))))
B. not not (((Uranus is the 4th planet from the Sun.) or (There are 30 days in September.) or ((4 ** 2) <= (1 * -9 - 6 * -4))) and (Iron is a liquid at room temperature.) and ((The 1904 ... | {
"game_data": {
"answer": "A,C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 28642466,
"true_count": 6
},
"question": "Examine these expressions:\n\nA. not (not (not (not not (((4 ** 3) <= (-8... |
logic-v2 | Evaluate each expression below:
A. not ((1 ** 2) < (13 + -7))
B. ((not ((12 % 10) <= (-10 - -9))) and ((A day on Earth is 24 hours.) and (Penguins can fly.))) or ((A bat is a mammal.) and ((-5 + -16) < (-16 * -10) < (-4 * 1 - -9 * 0))) or (((World War II ended occurred in 1945.) or (The chemical symbol for Cobalt is C... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 23205995,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not ((1 ** 2) < (13 + -7))\nB. ((not ((12 %... |
logic-v2 | 给定以下布尔表达式：
A. (20 + -7) == (-7 + -1)
B. ((第一部iPhone发布发生在2008年。) and (899是斐波那契数。)) or ((印度位于亚洲。) or (木星是距离太阳第5近的行星。))
C. 植物通过光合作用产生氧气。
D. (1981年是闰年。) or (((14 + 12) < (3 * -11)) or (马来西亚的首都是东京。))
E. ((英国位于欧洲。) and (1964年奥运会在东京举办。)) or (not ((10 - -19) > (10 + -19)))
F. not not ((埃及位于南极洲。) and ((1 * -9 * -5 * 4) <= (15 ... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 30087921,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. (20 + -7) == (-7 + -1)\nB. ((第一部iPhone发布发生在2008年。) and (899是斐波... |
logic-v2 | Analyze these boolean expressions:
A. not (not (The chemical symbol for Aluminum is Al.))
B. not (((566 is a Fibonacci number.) or (The capital of Turkey is Beijing.)) or (((-7 + 1) < (11 % 10)) and ((6 * -3 + -10 * -8) < (1 * 8) < (16 * -7))))
C. ((6 + 9) < (-18 - 17)) or (not (not not (The capital of Poland is Warsa... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 71727063,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not (not (The chemical symbol for Alumin... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((10 * 7) < (2 % 4)) and ((18 % 4) > (20 % 9))) and (((8 % 9) <= (5 * -9 * -8 * -4)) or (摩洛哥位于非洲。))
B. (-5 * 1) >= (-7 + 1)
C. (1 % 8) <= (6 * 17) <= (15 % 5)
D. (0 - -10) < (-1 + -11)
E. (8 * -7) >= (-15 - 15)
F. 莱特兄弟首次飞行发生在1903年。
G. not not ((264是斐波那契数。) and (秘鲁的首都是布拉格。))
找出所有为 True 的表达式。在 \box... | {
"game_data": {
"answer": "B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 12535379,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((10 * 7) < (2 % 4)) and ((18 % 4) > (20 % 9))) and (((8 ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((((5 ** 1) == (15 + 1)) or (2099年是闰年。)) or ((5 ** 1) <= (-5 - -16) <= (3 ** 3))) and (((哥伦比亚的货币是比索。) or (中国位于大洋洲。)) and (not not ((-1 * 10) > (1 ** 2))))) or (not not (not not ((水在常温下是液体。) or ((13 * -6) < (4 + 16)))))) or ((not not (人类首次登月发生在1959年。)) or ((((木头在常温下是液体。) and ((6 * -3) <= (-15 + 5)... | {
"game_data": {
"answer": "A,C,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 53384274,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((((5 ** 1) == (15 + 1)) or (2099年是闰年。)) or ((5 ** 1... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (((19 is an odd number.) or ((17 + -7) >= (1 ** 3))) or ((The 1912 Olympics were held in Stockholm.) or ((14 + 6) == (41 % 9))))
B. ((A duck has 100 legs.) or (((-15 * 8) < (7 * -6 - -6 * 7) < (-2 + -12)) and ((4 ** 3) > (-17 + 2)... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 6662025,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA... |
logic-v2 | Examine these expressions:
A. (1 ** 2) > (2 - -9)
B. not not (not (Spiders are insects.))
C. (-6 * 5) < (7 * 0 + -1 * 7)
D. (not ((-18 * 6) <= (18 * 13) <= (3 * 2 + -2 * 5))) and (The first Olympic Games of modern era occurred in 1896.)
E. ((Australia is in Oceania.) and (The chemical symbol for Carbon is Ca.)) and (n... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 29575636,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (1 ** 2) > (2 - -9)\nB. not not (not (Spiders ... |
logic-v2 | Evaluate each expression below:
A. (not not (Mars is the 4th planet from the Sun.)) or (not not ((-20 * 2) == (10 * 7 + -4 * -7))) or ((-18 - -15) < (-16 * 13) < (4 - 10))
B. ((not (There are 30 days in June.)) and (((5 * -18) == (-10 + 20)) or ((1 ** 2) < (19 + 14) < (-9 * 7 - -6 * 2)))) or (not not ((1918 is a leap ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 64594286,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (not not (Mars is the 4th planet from the... |
logic-v2 | Review these logical expressions:
A. (not (((6 + 3) > (-5 + -1)) or (The first moon landing occurred in 1969.))) and (Oxygen is a solid at room temperature.) and ((((13 % 9) > (5 ** 2)) and (not not ((18 * 18) == (1 * 6 - 7 * -2)))) or ((The chemical symbol for Phosphorus is Ne.) and (not ((4 * -6 * 0 * 6) != (10 - -1... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 44179922,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not (((6 + 3) > (-5 + -1)) or (The first... |
logic-v2 | Examine these expressions:
A. The French Revolution began occurred in 1789.
B. (((-7 * -7 + 6 * -2) <= (3 - 5) <= (3 + -11)) or ((4 % 10) == (-4 * 9 * -3 * -1))) and (33 is a prime number.)
C. ((-16 + -19) == (-10 * 0 * -1 * -5)) and (1950 is a leap year.)
Which ones are true? List the labels of all true options in \... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 42237229,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. The French Revolution began occurred in 1789.\nB. ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (-20 - 16) < (3 + -3) < (-8 * 9 - 7 * 2)
B. (((9 + 11) >= (-20 * 8)) and ((4 ** 3) > (14 - 14))) and (铝的化学符号是Al。)
C. (not (土星是距离太阳第6近的行星。)) or ((1950年是闰年。) or (72大于98。))
D. 猪是昆虫。
哪些选项的值为真？请列出所有为真的选项标识，用逗号分隔，填入 \boxed{} 中。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 45199352,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (-20 - 16) < (3 + -3) < (-8 * 9 - 7 * 2)\nB. (((9 + 11)... |
logic-v2 | 研究以下逻辑语句：
A. (not not (((((8 * 10 - 2 * 8) < (-2 + 3)) or (not not ((-16 - -9) != (-1 * -5 * -2 * 2)))) or (铅的化学符号是Mg。) or ((((3 % 8) == (22 % 1)) or ((7 * 10 + -4 * -1) > (-10 * 1 + -5 * 2))) or (((48 % 1) >= (33 % 3)) and (乌克兰的首都是基辅。)))) and (not ((蛇是爬行动物。) and (22小于等于8。))))) and (not not (((not not ((丹麦的首都是哥本哈根。) o... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 79840468,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (not not (((((8 * 10 - 2 * 8) < (-2 + 3)) or (not not ((-16 - -9) !... |
logic-v2 | Here are some boolean expressions to evaluate:
A. The human body has 206 bones.
B. (-10 * 6) > (12 % 9)
C. ((3 ** 2) != (4 - 3)) and (The Great Wall of China was built in one year.)
Find all expressions that are True. Answer in \boxed{} with labels separated by commas. | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 28143973,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. The human body has 206 bones.\... |
logic-v2 | 下面是几个布尔表达式：
A. ((((钻石在常温下是气体。) or ((4 * -8 * -3 * 4) <= (7 * -10 * -5 * 1))) and ((钴的化学符号是Zn。) and (人体有150块骨头。))) and (十月有28天。)) and ((7 * -1 * 9 * 3) < (17 - -4) < (38 % 9)) and ((木星是距离太阳第2近的行星。) or ((美国宣布独立发生在1776年。) or (木头在常温下是固体。)) or (天王星是距离太阳第3近的行星。))
B. ((((4 + 8) >= (24 % 8)) or (not not ((15 * 10) == (10 * 5)... | {
"game_data": {
"answer": "B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 30322575,
"true_count": 6
},
"question": "下面是几个布尔表达式：\n\nA. ((((钻石在常温下是气体。) or ((4 * -8 * -3 * 4) <= (7 * -10 * -5 ... |
logic-v2 | 分析以下逻辑表达式：
A. ((not ((not not ((-10 * -12) != (3 ** 3))) and (法国大革命开始发生在1789年。))) and (((6 * 2 + -3 * -4) == (-5 * 11)) and ((7 * 10 + -3 * -4) == (5 - 15)))) and (((((越南的货币是欧元。) or ((-10 + -17) != (-8 * -6 * 3 * 4))) or (not not (氮气在常温下是气体。))) or (((2083年是闰年。) or ((3 ** 3) >= (-13 + 17))) and ((土星是距离太阳第6近的行星。) or (秘鲁... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 24524673,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((not ((not not ((-10 * -12) != (3 ** 3))) and (法国大革命开始发生在17... |
logic-v2 | 给定以下布尔表达式：
A. ((硫的化学符号是Zn。) and ((5 + 13) != (-14 * 8))) and (泰坦尼克号沉没发生在1912年。)
B. (not not (蝙蝠是瞎的。)) and ((-11 * 3) > (9 * 9 - 1 * -1))
C. (新西兰位于大洋洲。) or (((1 ** 2) <= (-3 - 2)) and ((-6 * -8 * 2 * 5) >= (15 % 1)))
D. (not not ((3 ** 3) < (19 - -2))) or (not not ((6 * 20) <= (32 % 1)))
E. not not (声音在真空中传播更快。)
F. (((... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 97426657,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. ((硫的化学符号是Zn。) and ((5 + 13) != (-14 * 8))) and (泰坦尼克号沉没发生在1912年。)\... |
logic-v2 | 给定以下布尔表达式：
A. (((not ((2029年是闰年。) and (1908年奥运会在巴黎举办。))) and (((袋鼠是哺乳动物。) and ((-18 * 12) <= (15 - 2) <= (-2 * 6 + 10 * -1))) and (木星是距离太阳第5近的行星。))) and ((镁的化学符号是Mg。) or (((火星是距离太阳第4近的行星。) or (钻石由碳元素组成。)) or (not (空气在常温下是气体。))))) or (not not ((not (68大于15。)) and (泰国的货币是泰铢。)))
B. ((((((18 + 5) >= (0 * 6)) and (104是偶数。)... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 78492809,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. (((not ((2029年是闰年。) and (1908年奥运会在巴黎举办。))) and (((袋鼠是哺乳动物。... |
logic-v2 | Consider the following logical expressions:
A. The capital of Netherlands is Bangkok.
B. A crab has 10 legs.
C. (((14 + -15) != (-19 - -12)) or ((17 + 5) <= (-12 * -8))) or ((-10 - -12) <= (1 % 1))
D. A lizard is an insect.
E. not ((The 2008 Olympics were held in Athens.) or (Nitrogen is a gas at room temperature.))
F... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 28460558,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. The capital of Netherlands is... |
logic-v2 | 研究以下逻辑语句：
A. 钙的化学符号是Ca。
B. not ((印度的首都是墨西哥城。) or (水在常温下是液体。))
C. 光速比声速快。
D. not (not not ((2 + 14) < (-15 - -11)))
E. (not not (2020年奥运会在洛杉矶举办。)) or ((13 - -19) <= (-3 * 2) <= (14 + 0))
F. not not (not not ((18 % 4) > (-12 - 5)))
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": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 11122336,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. 钙的化学符号是Ca。\nB. not ((印度的首都是墨西哥城。) or (水在常温下是液体。))\nC. 光速比声速快。... |
logic-v2 | 检验这些表达式：
A. not (not not ((((((5 + -14) >= (4 ** 2)) and ((12 - 10) < (-2 + 17) < (-17 - 15))) and ((6 * -4 * 5 * -3) > (1 ** 2))) and (not not ((5 * -7 - 10 * -8) >= (-5 * 4 + 3 * 4))) and (((蚱蜢是昆虫。) or (五月有31天。)) or (沙特阿拉伯的货币是克朗。))) or (not not ((12 * -7) <= (4 ** 2)))))
B. not (((((388是完全平方数。) or (希腊的首都是雅典。)) or ((... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 19063311,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not (not not ((((((5 + -14) >= (4 ** 2)) and ((12 - 10) < (-2 + 17... |
logic-v2 | Examine these expressions:
A. (not not ((not not (A cow is a bird.)) and ((10 * -2 + 5 * 7) != (5 * 0 * 9 * 1)))) and (not ((not not (((10 * 12) >= (-4 + 8)) and ((19 - -14) != (9 * -8)))) or ((((-20 + 8) < (45 % 3)) and ((7 - -16) < (1 + -7))) and (13 is divisible by 8.))))
B. not ((not not (not (Saudi Arabia is in A... | {
"game_data": {
"answer": "B,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 78299047,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (not not ((not not (A cow is a bird.)) and ((1... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((not not (not (((Vietnam is in Africa.) or ((-16 + -2) <= (13 * 16) <= (-3 * 4))) or (not ((-12 * -16) < (28 % 4)))))) and (((Carbon dioxide is a gas at room temperature.) and (((-12 + 19) != (-10 + 5)) and (not not ((-4 - 10) < (8 *... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 59406802,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 考虑以下布尔表达式：
A. (((not not ((-5 * 2) <= (3 ** 2))) or (氧气对人类生存是必需的。)) or ((2 * -1) >= (17 + 4)) or (((9 + -15) <= (14 * 20)) and (((329是完全平方数。) or ((-16 + 2) <= (-18 * -1) <= (-4 * 3 - 2 * -4))) or ((木星是距离太阳第5近的行星。) or (智利的货币是谢克尔。))))) or ((氦气在常温下是气体。) or ((not not (855是斐波那契数。)) or ((碳的化学符号是C。) or (瑞士的首都是罗马。)))) or ((((... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 10839705,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (((not not ((-5 * 2) <= (3 ** 2))) or (氧气对人类生存是必需的。)) or ((2 *... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((not not (not ((火星是距离太阳第1近的行星。) or ((美国宣布独立发生在1776年。) and ((-10 * 7 * 9 * 7) <= (0 * 6 * 2 * -9) <= (7 * -5)))))) or (((阿根廷位于南美洲。) or (((钴的化学符号是Co。) or (1980年奥运会在莫斯科举办。)) and (not not ((5 * 6 * 5 * -9) > (-17 * 6))))) or (not ((((-2 - 0) >= (-1 * -12)) or ((13 * -14) < (8 - 8))) and (2000年奥运会在洛杉... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 53157727,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not not ((not not (not ((火星是距离太阳第1近的行星。) or ((美国宣布独立发生在1776年... |
logic-v2 | 审视以下逻辑表达式：
A. (not not ((not not ((2 + 8) != (2 ** 3))) or ((not (not (1924年奥运会在巴黎举办。))) or (not (not (铁的化学符号是Sn。)))))) and ((((1968年奥运会在墨西哥城举办。) or ((土星是距离太阳第6近的行星。) and (1956年奥运会在莫斯科举办。)) or (((6 % 2) <= (-13 + -4)) and (氢的化学符号是H。))) or ((not not (铅的化学符号是Ag。)) and (((埃及的货币是泰铢。) or ((3 * -8 + -10 * -8) == (1 ** 3))) ... | {
"game_data": {
"answer": "A,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 64833574,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. (not not ((not not ((2 + 8) != (2 ** 3))) or ((not (not (192... |
logic-v2 | Consider the following logical expressions:
A. (not not ((not not ((2 ** 1) >= (1 ** 3))) and ((0 - 19) >= (10 + 15)) and (((Saudi Arabia is in Asia.) or (not not (The chemical symbol for Iron is Fe.))) and (Steam is a gas at room temperature.) and (The currency of South Africa is the Dong.)))) or (not (not not (not (... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 34670317,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (not not ((not not ((2 ** 1) ... |
logic-v2 | Study the following logical statements:
A. not not (not (((17 is a perfect square.) and ((-3 + 17) >= (-9 * 4 * -6 * 5))) and (Colombia is in North America.)))
B. not not ((((-7 * 3 - 3 * 7) <= (20 * 5)) and ((((9 + -6) <= (4 * -5 - -2 * 7)) and (United States is in North America.)) or (The capital of Austria is New D... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 99161173,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not not (not (((17 is a perfect s... |
logic-v2 | Study the following logical statements:
A. not not (not (265 is a Fibonacci number.))
B. not (not not (not not (Earth is the 3rd planet from the Sun.)))
C. ((15 * -1) < (-18 - 18)) and (not ((5 ** 3) <= (4 * -3) <= (8 * 4 * 5 * -8))) and (The 2000 Olympics were held in London.)
D. ((-13 * 16) < (11 - -6)) or ((((0 * -... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 76123301,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not (not (265 is a Fibonacci nu... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not (not not ((10 * -8 + 10 * -4) != (23 % 1)))) and (((((Plants produce oxygen through photosynthesis.) or (2096 is a leap year.)) and (A tuna is a fish.)) or (not (((8 * -14) < (1 ** 3)) and ((4 ** 3) >= (1 - 8))))) and ((((A ladyb... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 78157909,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Evaluate each expression below:
A. not (not (((Spain is in North America.) and ((3 ** 1) <= (15 - -8))) and (((not not (Gold is a liquid at room temperature.)) or ((New Zealand is in Europe.) and ((20 * 0) <= (-17 - 16) <= (-16 - -17)))) and (((Penguins can fly.) or (The currency of Peru is the Peso.)) or ((A bird has... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 93573433,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not (not (((Spain is in North America.) and (... |
logic-v2 | 研究以下逻辑语句：
A. ((9 * -3 - -5 * -9) != (-2 - 2)) or ((-11 - -20) >= (47 % 4))
B. not (((5 ** 2) != (-2 - -20)) and (沙特阿拉伯位于亚洲。))
C. (not not (人类首次登月发生在1969年。)) and (((32 % 7) < (4 * 12) < (19 - 7)) or (1999年是闰年。))
D. (8 * 0) == (1 ** 3)
E. ((1980年奥运会在洛杉矶举办。) and (菲律宾的首都是首尔。)) and ((铁的化学符号是Ne。) and (中国位于亚洲。))
F. 印度位于北美洲。
... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 38876961,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. ((9 * -3 - -5 * -9) != (-2 - 2)) or ((-11 - -20) >= (47 % 4))\nB. n... |
logic-v2 | Consider the following logical expressions:
A. not (not not (((not (Carbon dioxide is a gas at room temperature.)) or (not not (Gold is a solid at room temperature.)) or ((Penguins can fly.) and (A spider has 8 legs.))) or (((((5 * -5) == (19 * 5)) or (Wood is a gas at room temperature.)) or (not ((17 % 4) != (14 + 14... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 30309981,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not (not not (((not (Carbon dioxi... |
logic-v2 | 下面是几个布尔表达式：
A. not not (((爱尔兰的首都是都柏林。) and ((6 * -10 * 6 * -9) <= (7 + -2))) and ((西班牙的首都是巴黎。) or ((2 * 4 * -5 * -1) != (-19 + 2))))
B. (((-16 + -6) < (5 ** 2)) and ((哥伦比亚位于南极洲。) and (铂的化学符号是Co。))) and (油在常温下是液体。)
C. ((((20 + -13) >= (-3 * 3 + 9 * 7)) and (韩国位于亚洲。)) and ((匈牙利的首都是安卡拉。) and (墨西哥的货币是比索。))) and ((not ((-1... | {
"game_data": {
"answer": "E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 71182318,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not not (((爱尔兰的首都是都柏林。) and ((6 * -10 * 6 * -9) <= (7 + -2))) a... |
logic-v2 | 评估以下每个表达式：
A. 锌的化学符号是K。
B. (20 % 6) <= (-15 * -11)
C. not not ((铜在常温下是固体。) or (龙虾有10条腿。))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 90082327,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. 锌的化学符号是K。\nB. (20 % 6) <= (-15 * -11)\nC. not not ((铜在常温下是固体。) o... |
logic-v2 | 审视以下逻辑表达式：
A. (not not (not ((钴的化学符号是Ca。) and (火星是距离太阳第1近的行星。)))) or (not ((铂的化学符号是Pt。) and ((金的化学符号是N。) or (现代奥运会首届举办发生在1895年。))))
B. not (not not (((中国长城是在一年内建成的。) and ((-6 - -6) == (1 ** 1))) or (((7 + -13) != (-14 + -15)) or ((10 * 5 + 1 * -7) == (37 % 5)))))
C. not not (((19 - -17) < (20 - -4) < (-14 * -9)) or (火... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 72514216,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (not not (not ((钴的化学符号是Ca。) and (火星是距离太阳第1近的行星。)))) or (not ((... |
logic-v2 | 考虑以下布尔表达式：
A. (not (一月有28天。)) or ((not (钻石由碳元素组成。)) or (((-7 - 14) <= (13 * 0)) or (二氧化碳在常温下是固体。)))
B. ((((8 * 3 - -3 * 10) == (-1 * 10)) or (2052年是闰年。)) and (((3 ** 2) <= (-16 * 16)) and (五月有31天。))) and ((((18 % 5) < (5 * -8 - -8 * -8)) and ((46 % 8) <= (-14 + -4))) and (木星是距离太阳第1近的行星。))
C. ((金的化学符号是Au。) and ((1992年奥... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 61370410,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (not (一月有28天。)) or ((not (钻石由碳元素组成。)) or (((-7 - 14) <= (13 * ... |
logic-v2 | Study the following logical statements:
A. (not not (not not ((not (Uranus is the 7th planet from the Sun.)) or (Earth is the 3rd planet from the Sun.)))) or ((not (not (There are 28 days in February.))) and ((The chemical symbol for Uranium is Cu.) and ((((18 - -17) != (7 % 9)) or (Venus is the 4th planet from the Su... | {
"game_data": {
"answer": "A,B,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 86532710,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. (not not (not not ((not (Uranus... |
logic-v2 | 审视以下逻辑表达式：
A. (((not not (俄罗斯的货币是卢布。)) and (((40 % 7) <= (12 + -16)) or (氢的化学符号是H。))) or ((not ((8 + -6) < (12 - 8))) and (((-6 * -6 + 6 * 10) <= (-7 * 2)) or (第二次世界大战结束发生在1955年。)))) or (((伦敦大火发生在1665年。) and (((18 + 2) == (6 - 10)) and ((-17 - -1) <= (4 - -15)))) and (海豚是鱼类。) and (((硅的化学符号是N。) or (1972年奥运会在阿姆斯特丹举办。)) ... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 77278406,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. (((not not (俄罗斯的货币是卢布。)) and (((40 % 7) <= (12 + -16)) or (氢... |
logic-v2 | 考虑以下布尔表达式：
A. not not (((not (((鸟有8条腿。) or (蜘蛛是昆虫。)) and ((氮气在常温下是气体。) or (1932年奥运会在洛杉矶举办。)))) or (100的平方根是10。) or (((not not (挪威的首都是布达佩斯。)) or ((86是偶数。) or (2090年是闰年。))) or (镍的化学符号是Ni。))) and (not (not (猪有4条腿。))))
B. (((not not (not not (尼日利亚的首都是阿布贾。))) or (((酒精在常温下是液体。) or (二氧化碳在常温下是气体。)) and ((锰的化学符号是Fe。) and ((2 -... | {
"game_data": {
"answer": "A,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 45403155,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. not not (((not (((鸟有8条腿。) or (蜘蛛是昆虫。)) and ((氮气在常温下是气体。) or ... |
logic-v2 | 检验这些表达式：
A. ((19 - -17) == (14 * 6)) or (not not (二月有28天。)) or ((2001年是闰年。) or (泰坦尼克号沉没发生在1902年。))
B. (((-16 * 15) <= (6 + -1)) or (((-17 + 12) <= (5 * -12) <= (4 * 0 - -10 * -3)) or (金星是距离太阳第2近的行星。))) and (蝴蝶有6条腿。)
C. not not ((法国大革命开始发生在1789年。) and (磷的化学符号是He。))
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",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 30399955,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. ((19 - -17) == (14 * 6)) or (not not (二月有28天。)) or ((2001年是闰年。) or... |
logic-v2 | Study the following logical statements:
A. not not (The capital of Thailand is Lisbon.)
B. ((4 ** 3) >= (-1 * -7 * 2 * -7)) or ((not not (Morocco is in Africa.)) and ((-9 + -8) < (18 - 8)))
C. (Christopher Columbus reached America occurred in 1492.) or ((not not ((-15 * 3) <= (7 * -10 + 6 * 1))) or ((The capital of Br... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 39192961,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not not (The capital of Thailand ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((-9 * -7 + 2 * -5) <= (2 ** 1))
B. ((239 is a perfect square.) and (not not ((3 ** 2) > (-15 - -15)))) or (not (((-17 * -18) <= (17 - -4)) or (Thailand is in Africa.)))
C. not ((5 ** 2) == (7 - 20))
D. ((-6 - 0) > (-1 - 3)) or ((not (The capital of Norway is O... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 6838297,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((-9 * -7 + 2 * -5) <... |
logic-v2 | Examine these expressions:
A. (38 % 7) < (5 % 4) < (2 ** 3)
B. (((2 ** 2) == (-4 * 15)) or (30 is greater than 77.)) or ((The currency of Singapore is the Peso.) and (The currency of Israel is the Shekel.))
C. (-18 + 15) == (16 * -1)
D. Ice is less dense than liquid water.
Which ones are true? List the labels of all ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 23870267,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. (38 % 7) < (5 % 4) < (2 ** 3)\nB. (((2 ** 2) == (-... |
logic-v2 | 下面是几个布尔表达式：
A. not not (((((((-18 * -10) < (1 + -17)) and (火星是距离太阳第4近的行星。)) and (not (2016年奥运会在里约热内卢举办。))) and (蜻蜓是昆虫。) and ((((-3 - -7) > (19 * 17)) or (2025年是闰年。)) and ((第二次世界大战结束发生在1940年。) and ((-11 * 1) < (-6 + 8))))) or (not not (((12 - -1) <= (33 % 1)) and ((1 * 8) < (-6 - -12)))) or (((not (声音在真空中传播更快。)) or (((... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 18302451,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not not (((((((-18 * -10) < (1 + -17)) and (火星是距离太阳第4近的行星。)) an... |
logic-v2 | Review these logical expressions:
A. France is in Europe.
B. not (((9 * 10 * -6 * -5) > (7 * -4 + -6 * -10)) or ((20 % 3) > (33 % 5)))
C. (((6 * 9) > (2 ** 1)) and (A kangaroo has 2 legs.)) or (((1 ** 3) == (32 % 10)) and ((8 * -4) <= (-4 * -1 - 9 * 7)))
D. ((9 * -2 * 9 * -10) >= (-6 * 10)) and (not (Chile is in South... | {
"game_data": {
"answer": "A,C,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 26471774,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. France is in Europe.\nB. not (((9 *... |
logic-v2 | 评估以下每个表达式：
A. (((5 * -6 - 5 * 2) == (9 * 14)) and ((-8 * -16) == (-5 * 9 - 8 * -8)) and (not (not not (冰在常温下是固体。)))) and (not not (氢的化学符号是He。))
B. (not (not (摩洛哥的首都是拉巴特。))) or ((锰的化学符号是Mn。) and (企鹅能飞翔。) and ((not not ((-8 - -7) >= (3 ** 3))) or (144的平方根是12。)))
C. not not (((氯的化学符号是Cl。) or ((31能被2整除。) or ((37 % 7) >= (... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 36648097,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (((5 * -6 - 5 * 2) == (9 * 14)) and ((-8 * -16) == (-5 * 9 - 8... |
logic-v2 | 给定以下布尔表达式：
A. ((((5 - -14) == (14 - 13)) and ((第一次世界大战结束发生在1913年。) or (捷克的货币是欧元。))) or (not (not (新西兰位于非洲。)))) or (((植物通过光合作用产生氧气。) and (乌克兰的首都是利雅得。)) and ((5是奇数。) or (龙虾有100条腿。))) or ((荷兰的首都是基辅。) and (((-17 * 3) > (0 + 14)) and ((3 + 17) != (-5 + -10))))
B. (not not ((not ((7 - 6) <= (2 - -6))) or (not not ((-19 * 12... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 91636411,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((((5 - -14) == (14 - 13)) and ((第一次世界大战结束发生在1913年。) or (捷克的货币... |
logic-v2 | Below are several boolean expressions:
A. not (not ((not not ((((4 ** 2) == (-8 * -2 + -6 * 10)) and ((18 % 1) <= (3 ** 2))) or (The human body has 150 bones.))) and ((Earth is the 3rd planet from the Sun.) or ((not (France is in Europe.)) or (((-6 - -1) >= (-16 - -1)) or ((-20 + 10) != (3 - 4)))))))
B. not not (not n... | {
"game_data": {
"answer": "B,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 54212982,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not (not ((not not ((((4 ** 2) =... |
logic-v2 | 研究以下逻辑语句：
A. (-9 * -1) != (-1 * 5)
B. not not (((15 * -1) == (-1 + 19)) and ((-16 + 15) < (-4 - 0)))
C. 铜在常温下是固体。
D. 沙特阿拉伯位于大洋洲。
E. not not ((-11 - -8) != (15 - 18))
F. (not (114是奇数。)) and ((42 % 5) >= (0 + -11))
G. not not (not ((-9 - 4) <= (-18 + -1) <= (1 ** 1)))
H. (墨西哥位于北美洲。) or ((冰在常温下是气体。) or (海王星是距离太阳第8近的行星。))... | {
"game_data": {
"answer": "A,C,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 78799928,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. (-9 * -1) != (-1 * 5)\nB. not not (((15 * -1) == (-1 + 19))... |
logic-v2 | 考虑以下布尔表达式：
A. ((((现代奥运会首届举办发生在1896年。) or ((-12 + -20) >= (7 * -6 - -2 * 5))) or (蜜蜂是鸟类。)) and (not ((16 - 12) <= (38 % 7) <= (7 % 4)))) or (not (蛇是爬行动物。)) or (((柏林墙倒塌发生在1990年。) or ((13小于等于38。) or ((5 + -15) < (13 * 5)))) or ((-20 + 8) == (6 * -4 - -2 * -1)))
B. ((22能被11整除。) or (银在常温下是固体。)) or (((-9 * -19) != (5 ** 3))... | {
"game_data": {
"answer": "A,B,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 45422304,
"true_count": 6
},
"question": "考虑以下布尔表达式：\n\nA. ((((现代奥运会首届举办发生在1896年。) or ((-12 + -20) >= (7 * -6 - -2 ... |
logic-v2 | 研究以下逻辑语句：
A. not (((not not (((狮子是哺乳动物。) and (水星是距离太阳第3近的行星。)) or (not not (蛇有0条腿。)))) or (not not (((-9 * 5 - -8 * -3) == (-16 * -6)) or (美国位于北美洲。)))) and ((((((20 % 9) < (3 * 6 - 5 * -6)) and (1900年奥运会在巴黎举办。)) and (苏联解体发生在1986年。)) and (澳大利亚的货币是比索。) and (地球绕太阳运转。)) and ((not (印度尼西亚位于北美洲。)) and (((4 + -16) <= (2 * -6 ... | {
"game_data": {
"answer": "A,B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 19952239,
"true_count": 6
},
"question": "研究以下逻辑语句：\n\nA. not (((not not (((狮子是哺乳动物。) and (水星是距离太阳第3近的行星。)) or (not... |
logic-v2 | Analyze these boolean expressions:
A. not not ((not (((not (Helium is a liquid at room temperature.)) or (((-5 - 8) == (2 * 18)) and (The 1908 Olympics were held in Amsterdam.))) and (not not ((4 * 15) < (-8 * 1 - 9 * -8))))) or (not not (((((1 ** 3) <= (19 * -16)) or ((3 * 11) <= (15 * 1))) or (The currency of Canada... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 86817953,
"true_count": 6
},
"question": "Analyze these boolean expressions:\n\nA. not not ((not (((not (Helium is ... |
logic-v2 | Study the following logical statements:
A. ((not ((((-3 - 9) < (1 ** 2)) and ((-15 * 3) > (-1 * -10 * 7 * -10))) or (((2 * 6 + -8 * 5) >= (-5 - -11)) and (The 1992 Olympics were held in Barcelona.)))) or ((((8 - -14) == (9 % 2)) or ((A day on Earth is 24 hours.) and ((6 - 6) > (-2 + -16)))) and (The 2020 Olympics were... | {
"game_data": {
"answer": "A,C,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 26609462,
"true_count": 5
},
"question": "Study the following logical statements:\n\nA. ((not ((((-3 - 9) < (1 ** 2))... |
logic-v2 | Given the following boolean expressions:
A. not ((((-3 + 17) >= (37 % 4)) or (((1 - -1) < (18 * 9) < (9 * 6 - -4 * 6)) or (Saturn is the 8th planet from the Sun.))) and ((not not (2045 is a leap year.)) or ((The currency of New Zealand is the Naira.) or ((35 % 4) <= (-7 * -5 + 4 * 1)))))
B. (not not (((-19 * 16) < (-2... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 18936824,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not ((((-3 + 17) >= (37 % 4)) or (... |
logic-v2 | Evaluate each expression below:
A. (not (not not (not ((-15 + -18) <= (-11 - 9) <= (5 ** 2))))) and ((not not ((12 * -4) <= (5 ** 2))) and (((9 * 6 - 3 * -8) < (20 - -16) < (13 * -8)) or ((A goldfish is a fish.) and ((-9 * -10 * 1 * 2) >= (12 - -18))) or ((not not (A shark is a fish.)) or (not (Humans have five finger... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 61467928,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (not (not not (not ((-15 + -18) <= (-11 -... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not (((The chemical symbol for Phosphorus is Ni.) and ((not (1951 is a leap year.)) and (((0 * 1 * -1 * 5) <= (19 - 12) <= (-16 + 20)) and (The currency of Israel is the Dollar.)))) and (((26 % 10) >= (-10 + -11)) and (((-1 - -8) >= ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 1057012,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA. ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not ((not (((Thailand is in Asia.) or (The Pacific Ocean is the largest ocean.)) or ((The Berlin Wall fell occurred in 1989.) and ((2 ** 3) <= (-14 * 12) <= (1 ** 2))))) or (not ((-12 + 15) >= (4 ** 3))) or ((The French Revolution be... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 20144086,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 检验这些表达式：
A. ((not not (not (not ((20 - -12) >= (9 * 2 * 10 * 5))))) and (((not (2090年是闰年。)) or ((澳大利亚位于北美洲。) or ((15 + 4) > (1 ** 2)))) and ((氮气在常温下是气体。) or (日本位于亚洲。)) and (not (((2 ** 2) == (6 * 3)) and (肯尼亚位于非洲。))))) and ((not ((((10 - -15) != (49 % 5)) and (2016年奥运会在里约热内卢举办。)) and (((-8 + -3) == (-13 - 19)) and ((2... | {
"game_data": {
"answer": "C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 51154307,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. ((not not (not (not ((20 - -12) >= (9 * 2 * 10 * 5))))) and ... |
logic-v2 | Given the following boolean expressions:
A. not not (not not (not not (((11 + 4) != (-2 * 0 - 7 * 1)) or ((((8 + 10) != (-3 + -16)) or ((2 * -9 * -1 * -4) < (-7 * 0 + 3 * 5))) and ((-19 + 9) != (17 + -4))))))
B. not ((not not ((The Great Wall of China was built in one year.) and (((5 * 8 * -8 * -4) > (1 + 2)) and (Dia... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 87914954,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not not (not not (not not (((11 + ... |
logic-v2 | 研究以下逻辑语句：
A. ((not not ((((铜的化学符号是Cu。) or (铜在常温下是固体。)) or (703是斐波那契数。)) or (not ((-19 + -13) != (7 * -13))))) or (((钻石在常温下是固体。) or (袋鼠有2条腿。)) and (((7 - 11) < (16 * -15) < (37 % 7)) and ((1912年奥运会在雅典举办。) and (2008年奥运会在罗马举办。))) and (not ((1912年奥运会在慕尼黑举办。) and ((3 ** 1) != (-20 * -9)))))) and (not not (((not not (not ((... | {
"game_data": {
"answer": "A,B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 94882538,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. ((not not ((((铜的化学符号是Cu。) or (铜在常温下是固体。)) or (703是斐波那契数。)) ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((((-4 - 14) >= (14 + 16)) or ((-20 + -16) > (-19 * -3))) or (((-16 - -11) != (6 - 19)) or (The 1948 Olympics were held in Tokyo.)))
B. (The chemical symbol for Mercury is S.) and ((not ((39 % 9) >= (6 * -8 - 5 * -5))) and (((-14 ... | {
"game_data": {
"answer": "A,C,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 77026607,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Study the following logical statements:
A. not not ((3 + -5) > (-19 * -20))
B. (((2 * -3 - 0 * -7) > (19 - 13)) and (((20 - -16) != (12 * 11)) and (96 is divisible by 5.))) or (((The Earth revolves around the Sun.) or ((4 ** 3) != (4 ** 3))) and ((-5 * 0 + -9 * -5) != (0 * -5 * -3 * -10)))
C. not (not ((-10 * 2) <= (2... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 89367237,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not not ((3 + -5) > (-19 * -20))\... |
logic-v2 | Review these logical expressions:
A. not (not (not not (((6 * 1 - -3 * 10) >= (19 + -11)) and (((10 + -19) != (-10 * 1 + 5 * -3)) or (The capital of Romania is Kuala Lumpur.)) and ((not ((-11 - 4) < (17 + 9))) or (Oxygen is necessary for human survival.)))))
B. ((not not ((not (2028 is a leap year.)) or (717 is a Fibo... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 4679853,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not (not (not not (((6 * 1 - -3 * 10) >= (19... |
logic-v2 | 审视以下逻辑表达式：
A. not (not (not ((not (not not (氧气在常温下是气体。))) and ((捷克的首都是开罗。) or (((8 * -9 + -1 * -1) == (-13 - 11)) or ((15 + 16) == (5 ** 2)))))))
B. not not (not ((not ((not not ((-10 * -6 * 3 * 6) < (4 ** 1) < (9 % 10))) and ((钻石在常温下是固体。) and (墨西哥的首都是布加勒斯特。)))) and ((((-3 * 0 + -2 * -4) != (1 ** 2)) or (((9 * -10 + 3... | {
"game_data": {
"answer": "A,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 57332547,
"true_count": 5
},
"question": "审视以下逻辑表达式：\n\nA. not (not (not ((not (not not (氧气在常温下是气体。))) and ((捷克的首都是开罗... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (not (not (((2 * -10 * 5 * 4) > (-15 - -10)) or ((2 * 1) != (7 * 4 - -8 * -4)))))) and ((not ((13 - 8) >= (0 - 2))) or (((12 + 10) != (17 * 7)) and (not not (((3 ** 2) <= (32 % 4)) or (The first Olympic Games of modern era occurred i... | {
"game_data": {
"answer": "B,C,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 34263548,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | 检验这些表达式：
A. not not (((((10 % 9) == (-4 * 20)) and (not not (not not (第一部iPhone发布发生在2007年。)))) and ((((20 % 1) < (-6 * -19)) or (not not ((17 + -4) >= (-10 + 12)))) and ((((-3 + -19) <= (31 % 2)) and (南非位于非洲。)) and (((-5 * 17) < (2 ** 2) < (5 - 5)) or (泰国位于亚洲。))))) and (not not (((4 * -6 * -6 * -2) > (-2 * 18)) and (n... | {
"game_data": {
"answer": "B,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 66993223,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. not not (((((10 % 9) == (-4 * 20)) and (not not (not not (第一... |
logic-v2 | Study the following logical statements:
A. (Saturn is the 8th planet from the Sun.) or (not not ((-1 * -13) < (-4 * 2 - -5 * -1)))
B. ((not (A kangaroo has 8 legs.)) or ((8 * 1 + 1 * 1) == (13 * -1))) or (The chemical symbol for Nitrogen is K.) or (5 is a prime number.)
C. (((6 + 14) <= (4 * 8 + 6 * 1)) and (((20 - -7... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 40847481,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (Saturn is the 8th planet from th... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not not (((-1 - -5) != (16 + 5)) or (((The 1956 Olympics were held in Melbourne.) or ((-10 * -8 * -2 * 1) >= (-8 * 10 - -7 * -5))) and ((-8 * 10 + -9 * -1) == (31 % 5)))))
B. not (((78 is less than or equal to 45.) and (not ((-13 + 16) <= (-9 * -9 - 0 * 0))) and (... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 50628377,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not not (((-1 - -5) != ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((The capital of Chile is Helsinki.) and (((12 - -11) == (5 * -1 + -6 * -5)) and (The capital of Vietnam is Riyadh.)) and ((not not (There are 31 days in March.)) and (((-1 * 1 * 4 * -5) >= (5 + 6)) and (A elephant has 4 legs.)))) and (((... | {
"game_data": {
"answer": "C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 22089471,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((19 + -20) < (4 * 3 - 0 * -2)) or (美国的货币是欧元。)) or (((-11 - -8) >= (3 ** 1)) and ((8 * 5 + 0 * 5) >= (20 + -3)))) or (((12 * 3) != (2 - -15)) and (日本的货币是日元。))
B. ((not ((-1 + 16) != (15 - -4))) or (not not ((-5 * 10 - -10 * 9) == (15 - 8)))) or ((not not (2020年奥运会在东京举办。)) and (((2 + 1) < (9 ... | {
"game_data": {
"answer": "A,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 60193338,
"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. ((((19 + -20) < (4 * 3 - 0 * -2)) or (美国的货币是欧元。))... |
logic-v2 | Examine these expressions:
A. not not (not not ((((-5 + -13) == (23 % 2)) or (The currency of Denmark is the Koruna.)) and (((-8 + 0) >= (2 * 3 + -2 * 3)) and ((-14 - -7) != (3 ** 1)))))
B. ((not ((Jupiter is the 8th planet from the Sun.) and (There are 30 days in April.))) or ((0 * 4 + 0 * 8) <= (-3 * 1 * -9 * 10) <=... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 27959479,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not not (not not ((((-5 + -13) == (23 % 2)) or (Th... |
logic-v2 | 评估以下每个表达式：
A. (日本位于非洲。) or ((1988年奥运会在莫斯科举办。) and (韩国的首都是首尔。)) or ((((3 + 0) <= (-2 * 7)) or ((-9 * -18) == (-20 * -17))) or ((-8 * -4 - -1 * -10) != (-7 * -3 - -1 * 2)))
B. not ((((0 - 17) <= (38 % 8)) or (土星是距离太阳第6近的行星。)) and ((9 - -6) != (-8 * 15)))
C. ((12 - 5) == (-9 * -9 - 6 * 10)) and (not not ((-1 * 4 - 4 * -8... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 30782002,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (日本位于非洲。) or ((1988年奥运会在莫斯科举办。) and (韩国的首都是首尔。)) or ((((3 + 0) <= ... |
logic-v2 | 审视以下逻辑表达式：
A. 地球绕太阳运转。
B. (-4 * -1 - -8 * -5) >= (-7 + -12)
C. 50是奇数。
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 59770196,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. 地球绕太阳运转。\nB. (-4 * -1 - -8 * -5) >= (-7 + -12)\nC. 50是奇数。\n\n哪些表达式... |
logic-v2 | Review these logical expressions:
A. not (The Sun revolves around the Earth.)
B. (((-5 * -8 - -5 * 2) < (-15 + 11)) or ((5 ** 3) < (-10 + -11))) and (not ((Sound cannot travel through a vacuum.) and ((10 * 18) > (11 * -17))))
C. not ((((-19 + 14) < (3 * -3) < (10 + 14)) and ((-17 * -20) == (5 ** 2))) and (The currency... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 50761672,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not (The Sun revolves around the Earth.)\... |
logic-v2 | Given the following boolean expressions:
A. (((The 1928 Olympics were held in Munich.) or ((18 * 3) >= (-5 + 4))) and (not not ((-3 + -2) == (-8 + 2)))) or (((A ant has 6 legs.) and ((-2 * -9) <= (28 % 4))) and ((The currency of Czech Republic is the Real.) and (The Moon orbits the Earth.)))
B. (not (not not (There ar... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 61919563,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (((The 1928 Olympics were held in ... |
logic-v2 | Evaluate each expression below:
A. (not ((-3 - -20) < (-20 - -8))) and (((((-15 * 3) >= (-7 * -10)) or ((-19 + -6) != (0 * -3 * 10 * 5))) and (not not (The 1936 Olympics were held in Montreal.))) or ((A lobster has 4 legs.) and ((1 * -6) != (7 * 1 * -10 * -9))) or (not not (not ((-1 * -7 * -2 * -4) == (2 ** 1)))))
B. ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 57834984,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (not ((-3 - -20) < (-20 - -8))) and (((((... |
logic-v2 | Review these logical expressions:
A. ((not (((-18 + -13) == (-5 * -9 + -9 * -9)) and (Canada is in Asia.))) or (not ((-6 * -7 * 5 * 0) == (0 - -1)))) and (not not ((2 * -4 + 1 * -6) == (3 + -18))) and ((((Vietnam is in Europe.) and (The capital of Kenya is Budapest.)) and (Chile is in North America.)) and (not not (((... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 8602657,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. ((not (((-18 + -13) == (-5 * -9 + -9 * -9)... |
logic-v2 | 评估以下每个表达式：
A. ((((1896年奥运会在东京举办。) or ((10 * 0) > (8 + 17))) or ((老虎是哺乳动物。) or (镁的化学符号是Mg。))) and ((((17 % 6) < (12 + 18)) or ((-7 - -10) >= (-7 + -15))) and (捷克的货币是克朗。))) or (not ((((25 % 1) == (17 + 9)) or (英国的货币是里亚尔。)) and (((2 * -10 + 3 * 6) > (16 + 15)) or (南极洲是最冷的大陆。))))
B. ((((-12 * 13) >= (43 % 6)) or ((-19 + 3... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 62727234,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. ((((1896年奥运会在东京举办。) or ((10 * 0) > (8 + 17))) or ((老虎是哺乳动物。)... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((not (二氧化碳在常温下是固体。)) or ((美国宣布独立发生在1781年。) and (希腊的首都是雅加达。)) or (not ((2092年是闰年。) and (巴西的货币是雷亚尔。)))) or (((not ((-16 + 1) <= (10 + 4))) or (((1 ** 3) < (20 * -6)) or (埃及的货币是比索。))) or ((4 ** 2) < (-6 * -1 * -9 * -3)))) and ((((56能被6整除。) or ((狗有10条腿。) and (第一部iPhone发布发生在2007年。))) and (((-7 - ... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 36976169,
"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 (二氧化碳在常温下是固体。)) or ((美国宣布独立发生在1781年。) and (希... |
logic-v2 | Given the following boolean expressions:
A. not (not (not not (not not ((((-17 * -16) != (-14 * 20)) or ((5 * 2 + -10 * 1) != (14 * -3))) or ((Earth is the 3rd planet from the Sun.) or (The capital of Mexico is Caracas.))))))
B. not ((not (not not (not not (not not ((-15 * -18) <= (8 - 20)))))) and (((Sharks are mamma... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 82438892,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not (not (not not (not not ((((-... |
logic-v2 | Analyze these boolean expressions:
A. ((not not (A iguana is a fish.)) or (not ((14 * -2) == (-4 * -9 + 1 * -3)))) and (((10 - 7) >= (-1 * 9 - -5 * -3)) or (A shark is a mammal.)) and ((not (2066 is a leap year.)) and (((-1 * 17) < (4 * 9 * 4 * -9)) and (United States is in North America.)))
B. ((29 is a prime number.... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 83173276,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. ((not not (A iguana is a fish.)) or (not... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((第一部iPhone发布发生在2007年。) or ((-20 - 2) <= (-9 * 1 - -4 * -4) <= (-10 * -10))) or ((-9 * -20) < (-9 + 0))
B. ((摩洛哥位于非洲。) or (土耳其的货币是里拉。)) and (not not (六月有31天。))
C. ((埃及的首都是哈瓦那。) or (人类每只手有五个手指。)) and ((10 + 2) == (-10 * 15))
D. not not (((0 * -11) < (-4 * 2 * -10 * -8)) and (2004年奥运会在雅典举办。))
E. not ... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 46983814,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((第一部iPhone发布发生在2007年。) or ((-20 - 2) <= (-9 * 1 - -4 * -4... |
logic-v2 | Consider the following logical expressions:
A. not (not (not (((((-11 - 8) == (-4 * 7 * 3 * 5)) and (Air is a gas at room temperature.)) and (((10 - -5) != (3 - -16)) and (170 is a perfect square.))) or (The chemical symbol for Tin is Sn.))))
B. not not (not (not not ((A koala is a bird.) and (not (Chile is in Oceania... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 82112547,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not (not (not (((((-11 - 8) =... |
logic-v2 | 研究以下逻辑语句：
A. ((not ((20 * -7) < (8 * 13))) or (not not ((7 + 1) == (11 * -8)))) or ((6 * -20) != (-2 * -10)) or (not not (((4 ** 2) >= (-1 * 5 - -6 * -1)) or ((14 - 17) >= (1 + 13))))
B. (not ((2 * 3 + 2 * -8) < (6 * 2))) or (((俄罗斯的货币是雷亚尔。) or (1974年是闰年。)) or (((16 + -6) < (0 * -17)) or (2004年奥运会在雅典举办。)))
C. (not ((16... | {
"game_data": {
"answer": "A,B,C,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 81127906,
"true_count": 6
},
"question": "研究以下逻辑语句：\n\nA. ((not ((20 * -7) < (8 * 13))) or (not not ((7 + 1) == (11... |
logic-v2 | Evaluate each expression below:
A. (10 + -8) != (-4 * -2)
B. The capital of Spain is Manila.
C. ((Venus is the 2nd planet from the Sun.) and (19 is a prime number.)) and (United States is in Europe.)
D. Wood is a solid at room temperature.
E. (15 * 2) <= (-14 + -1)
List all options that evaluate to True, separated by... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 74884250,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (10 + -8) != (-4 * -2)\nB. The capital of S... |
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