env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Consider the following logical expressions:
A. (6 - -2) < (35 % 9) < (-17 * -14)
B. not not ((There are 30 days in September.) and (Morocco is in Africa.))
C. not not (not not ((-5 * 8 * -4 * 3) >= (9 * 10 - -1 * 1)))
D. (not not (The capital of Saudi Arabia is Lisbon.)) or (((18 + -8) <= (1 ** 3) <= (19 * -16)) and (... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 55354421,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. (6 - -2) < (35 % 9) < (-17 ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 地球上一天是24小时。
B. not ((8 * 20) > (4 ** 3))
C. ((1968年奥运会在北京举办。) and ((-14 * 0) < (-12 + -7))) and (六月有29天。)
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": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 24424075,
"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. 地球上一天是24小时。\nB. not ((8 * 20) > (4 ** 3))\nC. ((1968年奥运... |
logic-v2 | Study the following logical statements:
A. (not (not not (((The chemical symbol for Mercury is Pt.) or ((-19 * -1) < (4 - -7))) and ((Oil is a liquid at room temperature.) or ((15 - -8) < (15 - -18) < (-15 - 11)))))) and (((((The 1936 Olympics were held in London.) or ((19 * 1) != (2 * -15))) and (not (27 is divisible... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 60777603,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (not (not not (((The chemical symbol ... |
logic-v2 | Below are several boolean expressions:
A. (((-8 * -8) != (7 - -5)) and (United States is in North America.) and ((not not ((-8 - 11) <= (2 * 0 + -6 * -7))) and (not (Russia is in Europe.)))) and (not ((((18 % 7) != (9 + 11)) or (The French Revolution began occurred in 1789.)) and ((A turtle is an insect.) and (Earth i... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 33591203,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. (((-8 * -8) != (7 - -5)) and (United... |
logic-v2 | 考虑以下布尔表达式：
A. 207是完全平方数。
B. not not (not ((-14 + -11) == (16 * 15)))
C. (-1 * 9 * 8 * 6) != (0 - 19)
D. not (not ((3 % 1) <= (1 * -11)))
E. 五月有31天。
F. not not ((19 - 10) <= (1 * -2 + -10 * 2) <= (17 + 7))
G. (((10 + -10) < (-1 * 7 + 7 * 0)) and (乌鸦是鸟类。)) or (not not (水星是距离太阳第1近的行星。))
H. not not (摩洛哥位于非洲。)
哪些表达式的值为 Tr... | {
"game_data": {
"answer": "B,C,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 51430841,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. 207是完全平方数。\nB. not not (not ((-14 + -11) == (16 * 15)))\nC... |
logic-v2 | Study the following logical statements:
A. (((1 ** 1) == (10 + -19)) and ((6 + -9) == (-9 + 4))) or (((1912 is a leap year.) or ((-5 * 5 - -6 * 4) <= (5 * -14))) and ((-19 * -3) > (0 * -11)))
B. not (Brazil is in Antarctica.)
C. (The square root of 225 is 15.) and ((not (The capital of Philippines is Manila.)) and (no... | {
"game_data": {
"answer": "A,B,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 6364066,
"true_count": 6
},
"question": "Study the following logical statements:\n\nA. (((1 ** 1) == (10 + -19)) an... |
logic-v2 | 评估以下每个表达式：
A. not not ((not ((-16 + 4) < (4 ** 1))) and (((-6 - 2) < (-8 - -9)) or (蛇有2条腿。)))
B. ((not not (not ((-1 - 13) >= (32 % 3)))) and (1956年奥运会在墨尔本举办。)) and (((32 % 3) <= (-19 + -15) <= (2 ** 2)) and (not not ((5 ** 3) >= (-6 * -1 + 0 * 10))) and (((泰国的首都是曼谷。) and ((-15 * 17) < (-6 * -9 * -7 * -8) < (-1 * 8 + ... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 17294348,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not not ((not ((-16 + 4) < (4 ** 1))) and (((-6 - 2) < (-8 - -9)... |
logic-v2 | Review these logical expressions:
A. (not (((36 % 1) != (5 * -8 * -2 * -8)) or ((The currency of Thailand is the Baht.) and (70 is a prime number.)))) and (The chemical symbol for Hydrogen is Co.) and ((((190 is a Fibonacci number.) and (Brazil is in South America.)) or (((9 - 5) <= (8 + 12)) or (The chemical symbol f... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 16348183,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not (((36 % 1) != (5 * -8 * -2 * -8)) or... |
logic-v2 | Analyze these boolean expressions:
A. not not (not ((((not not ((10 - 15) >= (-15 * -14))) or (((-14 * 6) != (12 % 1)) and (The 1956 Olympics were held in Munich.))) and (not (Iron is a solid at room temperature.))) and ((not not (((13 * 19) < (16 - 18)) and (A sheep is a mammal.))) and ((not not ((2 * -8) <= (-2 * 0 ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 67172124,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not (not ((((not not ((10 - 15) >= (... |
logic-v2 | Evaluate each expression below:
A. (((5 * -1 - -2 * -8) >= (-18 - 19)) or (not ((-6 * -7 - 10 * 4) > (-4 - -4))) or ((19 - -2) > (2 * -3 + -10 * 8))) and (((((13 - 20) <= (0 * -8 - 2 * -3)) and (The currency of Brazil is the Real.)) and ((The 1908 Olympics were held in Amsterdam.) or (The 1936 Olympics were held in Sy... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 65322053,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. (((5 * -1 - -2 * -8) >= (-18 - 19)) o... |
logic-v2 | Given the following boolean expressions:
A. 2086 is a leap year.
B. (-11 * 1) == (1 ** 2)
C. (((-8 + 6) >= (-18 + -14)) and ((6 * -2 - 10 * 2) > (19 - -1))) or (not ((-4 - -16) != (4 ** 2)))
D. not (((14 * 18) < (-19 * -8)) or ((2 ** 1) == (3 ** 1)))
E. ((The chemical symbol for Cobalt is Co.) or (Neptune is the 8th p... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 12527121,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. 2086 is a leap year.\nB. (-11 * 1) =... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((((-11 * 6) < (-15 * -4)) or ((2 * -15) < (-2 * 8 + 4 * -10) < (-10 * -10 * -10 * 4))) or ((17 + 5) == (-20 * -17))) and (莱特兄弟首次飞行发生在1903年。) and (not ((埃及的首都是赫尔辛基。) and (47是质数。)))) or (((not (柏林墙倒塌发生在1979年。)) and ((3 - 6) != (5 - -1))) and (丹麦的货币是克朗。))
B. (((not ((15 * -15) < (-6 * 8 + 2 * 4))) a... | {
"game_data": {
"answer": "A,B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 65972595,
"true_count": 6
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((((-11 * 6) < (-15 * -4)) or ((2 * -15) < (-2 * ... |
logic-v2 | 检验这些表达式：
A. ((((2020年奥运会在东京举办。) and (((-1 * -3) <= (1 * 8 + 1 * 3)) and ((-10 * 2 + 8 * -4) < (-3 * -6 - 2 * 4) < (8 + -7)))) and (((秘鲁位于南美洲。) and (807是斐波那契数。)) and (not not (古巴的首都是哈瓦那。)))) or ((not (not not (124是偶数。))) or ((not not ((-8 + 1) != (-20 * 0))) and (((28 % 5) != (17 % 6)) and (九月有31天。))))) or (((136是斐波那契数... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 63708241,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. ((((2020年奥运会在东京举办。) and (((-1 * -3) <= (1 * 8 + 1 * 3)) and ((-10 * ... |
logic-v2 | Review these logical expressions:
A. (not (The first airplane flight by the Wright Brothers occurred in 1903.)) or (Mercury is the 7th planet from the Sun.)
B. The chemical symbol for Oxygen is Au.
C. Water is a liquid at room temperature.
D. ((4 * 0 + -1 * -1) >= (-7 * -1 - 10 * -4)) and ((The capital of New Zealand ... | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 74556686,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not (The first airplane flight by the Wr... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((-13 * 14) > (-1 * 18)) and (1996年奥运会在亚特兰大举办。))
B. 马来西亚的首都是赫尔辛基。
C. ((九月有28天。) or (702是斐波那契数。)) and (南非位于非洲。)
D. (((1 * -5 * 10 * -5) > (5 - 2)) or ((16 + -5) > (-2 * -1))) and ((氧气对人类生存是必需的。) or (鳄鱼是爬行动物。))
E. (9 * 7 - -5 * 1) < (-18 + 16)
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": 5,
"seed": 56039215,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not not (((-13 * 14) > (-1 * 18)) and (1996年奥运会在亚特兰大举办。))\nB. 马来西亚... |
logic-v2 | Analyze these boolean expressions:
A. (not ((-17 * -10) <= (-4 * 3))) and (not (((-15 + 1) < (-6 * 1 - -10 * -6) < (12 * -12)) or (not (There are 31 days in January.))))
B. (not not (1956 is a leap year.)) or ((4 - 3) != (3 ** 2)) or (not (A frog has 4 legs.))
C. (((Ice is less dense than liquid water.) or ((Earth is ... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 60186989,
"true_count": 5
},
"question": "Analyze these boolean expressions:\n\nA. (not ((-17 * -10) <= (-4 * 3))) an... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not ((not (((4 * 6) < (-15 - -19)) or (瑞典的货币是克朗。))) or (not not ((79是质数。) or (钻石在常温下是固体。))))) or (((((墨西哥的货币是比索。) and ((40 % 9) == (-9 + 1))) and (硫的化学符号是Si。)) or (not not ((4是斐波那契数。) or ((13 + 20) != (18 - 0))))) or (not ((7 + 1) == (9 * 16))))
B. ((((((18 + 16) < (26 % 1) < (9 * -5)) and (印度尼西亚的... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 7896191,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not ((not (((4 * 6) < (-15 - -19)) or (瑞典的货币是克朗。))) or (not ... |
logic-v2 | 检验这些表达式：
A. not (((俄罗斯的首都是莫斯科。) or (1992年奥运会在圣路易斯举办。)) and (not not ((20 % 3) <= (2 ** 2))))
B. ((not ((-12 + 10) < (50 % 4))) or ((铁在常温下是固体。) or (锌的化学符号是Ca。))) or ((((9 * -5 - -3 * 9) < (12 - 5) < (10 * 2)) and (羊是哺乳动物。)) and (not ((-3 * 5 * 0 * -5) >= (2 ** 3))))
C. (五月有31天。) and (((58是奇数。) or (南非的货币是兰特。)) and ((美国宣... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 90837498,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not (((俄罗斯的首都是莫斯科。) or (1992年奥运会在圣路易斯举办。)) and (not not ((20 % 3) ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not ((((39 % 3) < (-10 + -16)) and (((1908年奥运会在伦敦举办。) or ((-9 + -2) <= (-18 + 14))) or (((-15 - -6) > (8 - 2)) and (土星是距离太阳第6近的行星。)))) and (not (not not ((鲨鱼是哺乳动物。) and (鳄鱼是爬行动物。)))))) and (not not (not ((((印度位于非洲。) or (土星是距离太阳第3近的行星。)) or (not (南非位于非洲。))) or (意大利的首都是布鲁塞尔。))))
B. not not ((no... | {
"game_data": {
"answer": "A,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 73216650,
"true_count": 5
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (not ((((39 % 3) < (-10 + -16)) and (((1908年奥运会... |
logic-v2 | 考虑以下布尔表达式：
A. ((not ((美国宣布独立发生在1776年。) or (美国宣布独立发生在1776年。) or ((鳟鱼是鸟类。) or (哥伦布到达美洲发生在1492年。)))) or (not ((not ((109是偶数。) and (冰在常温下是气体。))) and (蟑螂是昆虫。)))) and (((((((1 % 1) > (-11 - -17)) and (金在常温下是液体。)) or (((1 * -4 + -5 * -6) > (10 - -19)) and ((12 + 17) <= (11 * 0)))) and (土星是距离太阳第6近的行星。)) or (not ((41能被6整除。) an... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 10226,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((not ((美国宣布独立发生在1776年。) or (美国宣布独立发生在1776年。) or ((鳟鱼是鸟类。) or (哥伦... |
logic-v2 | 检验这些表达式：
A. ((not (瑞典的首都是赫尔辛基。)) or ((220是完全平方数。) or (比利时的首都是曼谷。))) or (巴西的货币是雷亚尔。) or ((7 % 4) == (-4 - -11))
B. (not ((印度尼西亚位于亚洲。) and (螃蟹有10条腿。))) or ((not not (锰的化学符号是Co。)) and (not (智利的货币是泰铢。)))
C. (铜的化学符号是Cu。) and (((二月有28天。) and ((31 % 10) <= (0 - 15))) and ((2016年是闰年。) or (十二月有30天。)))
D. not ((10 * 10 * 3 * -9... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 29766377,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. ((not (瑞典的首都是赫尔辛基。)) or ((220是完全平方数。) or (比利时的首都是曼谷。))) or (巴西的货... |
logic-v2 | 下面是几个布尔表达式：
A. (5 - 3) >= (-2 * -7 - -3 * -4)
B. not (((1 * 4 * 7 * -6) < (1 ** 2) < (21 % 4)) or ((1 * 16) > (-7 - 9)))
C. 木星是距离太阳第8近的行星。
D. (((20 * 6) > (-6 * 6)) or ((17 - -19) == (-14 + 11))) or ((八月有29天。) and (49大于51。))
E. (((3 + 6) != (-20 - -18)) or (哥伦布到达美洲发生在1492年。)) or ((氦的化学符号是He。) or ((4 - -8) != (-10 * 0 ... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 62269587,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (5 - 3) >= (-2 * -7 - -3 * -4)\nB. not (((1 * 4 * 7 * -6) < (... |
logic-v2 | 评估以下每个表达式：
A. 火烈鸟是鱼类。
B. not ((95小于等于37。) or (19是完全平方数。))
C. not (墨西哥的货币是韩元。)
D. 莱特兄弟首次飞行发生在1913年。
E. 荷兰的首都是墨西哥城。
F. (((-8 * 3 + 3 * 5) < (-10 - 7)) and (中国长城是在一年内建成的。)) or (((28 % 6) == (7 * -8 * -5 * -1)) or (委内瑞拉的首都是加拉加斯。))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 16351379,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. 火烈鸟是鱼类。\nB. not ((95小于等于37。) or (19是完全平方数。))\nC. not (墨西哥的货币是韩... |
logic-v2 | 检验这些表达式：
A. not (not ((not ((-17 * 14) != (-9 * -3 + 5 * 8))) and ((not not ((7 * 10 * -9 * 9) >= (1 + 10))) or ((8 * 11) == (-10 - 19))) and ((2012年奥运会在伦敦举办。) and (冰在常温下是固体。))))
B. not ((not not (not not ((葡萄牙的首都是里斯本。) and ((冰在常温下是液体。) and ((-7 * 0 + 2 * -10) == (-14 * 5)))))) or (not not ((5 ** 1) <= (-12 * 13) <= (... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 39424713,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not (not ((not ((-17 * 14) != (-9 * -3 + 5 * 8))) and ((not not ((... |
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 (not not (((-17 + -7) <= (16 + -2) <= (18 + -8)) or (氧气在常温下是气体。)))) and (((((2 ** 2) < (-15 + -17)) and ((-9 * -10 * 7 * 3) >= (10 + 12))) or (蝙蝠是瞎的。)) and ((39 % 2) > (11 * 17)))) or (((智利位于非洲。) and (not not ((31 % 1) > (1 * -8 * -8 * 4)))) and ((not (not not (2008年是闰年。))) ... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 82222738,
"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 (not not (((-17 + -7) <= (16 + -... |
logic-v2 | 检验这些表达式：
A. not (((not not (not not (not ((14 + 17) <= (9 * 6 * 10 * -10))))) or (not ((((-5 * 18) >= (-10 * -1 + -3 * 5)) and (187是偶数。)) or ((空气在常温下是气体。) or ((5 ** 2) >= (1 + 13)))))) and (((((土耳其的货币是里拉。) and ((-2 * 1 + 7 * 1) != (27 % 4))) or ((1912年奥运会在伦敦举办。) or ((-6 + 2) >= (-10 * 16)))) and ((电流比光速更快。) and (印度的货币... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 65844386,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not (((not not (not not (not ((14 + 17) <= (9 * 6 * 10 * -10))))... |
logic-v2 | Given the following boolean expressions:
A. (((A iguana is a reptile.) or ((-12 + -1) < (5 + 4) < (-1 - -6))) or (The chemical symbol for Copper is Cu.)) and (not ((17 + 7) < (2 ** 2)))
B. (The 1984 Olympics were held in Los Angeles.) and ((((-14 * 12) == (-9 * -8 - -7 * 0)) or (The first iPhone was released occurred ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 18556457,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (((A iguana is a reptile.) or ((... |
logic-v2 | 检验这些表达式：
A. ((((印度尼西亚的首都是雅加达。) or ((44 % 9) != (-9 * 10 * 10 * -9))) and ((not not (氮气在常温下是气体。)) and ((水在常温下是液体。) or (氮气在常温下是固体。)))) and (((not not (铅的化学符号是Au。)) and (not not (中国位于北美洲。))) and (not ((4 ** 3) >= (16 + 19))))) or ((((8 + 3) != (9 - 7)) and ((-13 + -14) < (-4 - 2) < (19 - 6))) and (((-17 * 12) <= (8 * 11)... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 48186671,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. ((((印度尼西亚的首都是雅加达。) or ((44 % 9) != (-9 * 10 * 10 * -9))) and ((not n... |
logic-v2 | 下面是几个布尔表达式：
A. (((2 ** 2) > (2 * 4 - -8 * 6)) or ((火烈鸟是鸟类。) or ((10 * 18) > (-1 * -5 - -10 * 1))) or (天王星是距离太阳第3近的行星。)) and (((-11 - -2) < (5 % 5)) or (木星是距离太阳第4近的行星。))
B. ((not not (not (土星是距离太阳第8近的行星。))) or (not ((尼日利亚的货币是奈拉。) and (1980年奥运会在莫斯科举办。)))) and ((((企鹅能飞翔。) or (埃及的首都是开罗。)) or (西班牙位于南美洲。)) or (莱特兄弟首次飞行发生在19... | {
"game_data": {
"answer": "A,B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 80118086,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (((2 ** 2) > (2 * 4 - -8 * 6)) or ((火烈鸟是鸟类。) or ((10 * 18) > ... |
logic-v2 | 研究以下逻辑语句：
A. 土耳其的货币是里拉。
B. (1904年奥运会在圣路易斯举办。) or ((10 * 1 * -10 * -9) == (15 + 2))
C. not not (((3 + 2) != (-19 - -19)) and ((-19 + 9) > (-9 + 15)))
D. not not ((古巴的首都是莫斯科。) and ((3 * 0 - 2 * 7) <= (19 * 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,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 19907379,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. 土耳其的货币是里拉。\nB. (1904年奥运会在圣路易斯举办。) or ((10 * 1 * -10 * -9) == (15 ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (There are 28 days in February.)
B. (not not (The capital of Germany is Berlin.)) and (((2083 is a leap year.) and ((13 - 7) != (12 + 11))) and ((134 is an odd number.) or (A swan is a mammal.)))
C. (not not ((There are 31 days in... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 5738844,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA... |
logic-v2 | Analyze these boolean expressions:
A. The square root of 196 is 12.
B. not not ((The chemical symbol for Platinum is Pt.) or ((-18 - -8) == (-1 * 10 * 5 * 8)))
C. (not (World War II ended occurred in 1945.)) and (((5 * -5 * 9 * -5) > (4 * -10 + -10 * 5)) or (The Sun revolves around the Earth.))
D. ((-1 * -8) <= (3 ** ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 71564129,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. The square root of 196 is 12.\nB. not not ... |
logic-v2 | 审视以下逻辑表达式：
A. 太平洋是最大的海洋。
B. (银的化学符号是Ag。) and (not not (258是完全平方数。))
C. not not (not (袋鼠有2条腿。))
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": 51273654,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. 太平洋是最大的海洋。\nB. (银的化学符号是Ag。) and (not not (258是完全平方数。))\nC. not not... |
logic-v2 | Given the following boolean expressions:
A. (5 * -11) > (2 ** 1)
B. not not (((-20 * 0) >= (6 % 1)) or (World War I ended occurred in 1918.))
C. (not (Sound cannot travel through a vacuum.)) or (not not ((39 % 5) != (-16 - 17)))
D. not (not not ((-3 - 18) <= (5 * -20)))
E. not not (((2 ** 1) < (-5 + 1) < (-12 + 6)) or... | {
"game_data": {
"answer": "B,C,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 49032294,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. (5 * -11) > (2 ** 1)\nB. not... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not ((人体有150块骨头。) or (地球是距离太阳第3近的行星。))
B. (((1 ** 1) <= (1 * 0 + -5 * 5)) or (65能被7整除。)) and ((43是奇数。) and (氧气对人类生存是必需的。))
C. not not ((16的平方根是4。) or (1948年奥运会在伦敦举办。))
D. not not ((0 + 3) != (3 * -9 + -5 * -1))
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": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 53911621,
"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 ((人体有150块骨头。) or (地球是距离太阳第3近的行星。))\nB. (((1... |
logic-v2 | 分析以下逻辑表达式：
A. (((((-10 + -2) < (3 ** 3) < (-15 - -11)) or (111是斐波那契数。)) or (((38 % 4) <= (-5 * -17)) or (油在常温下是液体。))) or (阿根廷位于南美洲。)) or (2004年奥运会在亚特兰大举办。) or ((五月有31天。) and (not not (美国宣布独立发生在1776年。)) and (not not (伦敦大火发生在1667年。)))
B. (not not (((荷兰的首都是阿姆斯特丹。) or (英国的货币是新加坡元。)) and (((40 % 4) < (-15 * 16) < (-10 - -1... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 8472106,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. (((((-10 + -2) < (3 ** 3) < (-15 - -11)) or (111是斐波那契数。)) o... |
logic-v2 | Study the following logical statements:
A. not not (((The chemical symbol for Titanium is Co.) or ((26 is a prime number.) or ((-3 * 6 + 10 * -9) > (3 ** 2)))) or (((-10 * 6) <= (-6 - -7)) and ((-14 * 7) < (-14 - -7) < (-15 - -2))) or (((There are 29 days in March.) and (Helium is a gas at room temperature.)) and ((So... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 14113230,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not (((The chemical symbol for ... |
logic-v2 | Below are several boolean expressions:
A. (not not (((Russia is in North America.) and (The first airplane flight by the Wright Brothers occurred in 1903.)) and (The Great Fire of London occurred in 1666.))) and (not not (((4 % 1) <= (1 % 3)) and ((9 * 2) <= (5 ** 2)))) and (((-18 + -14) < (4 ** 3) < (-5 * -5 + 5 * -6... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 11310696,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (not not (((Russia is in North Ame... |
logic-v2 | 评估以下每个表达式：
A. not (((意大利位于大洋洲。) or (氯的化学符号是U。)) and ((汞在常温下是液体。) or (地球是距离太阳第5近的行星。)))
B. (not not (not not (墨西哥位于北美洲。))) and (not (((-13 * -5) > (8 * 9 + -4 * 1)) or (1948年奥运会在东京举办。)))
C. (铝的化学符号是Al。) or (not (not (钙的化学符号是P。)))
D. ((((4 ** 2) == (10 - 12)) or (64的平方根是8。)) or ((1904年奥运会在圣路易斯举办。) or (葡萄牙的首都是里斯本。))) or ... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 25547079,
"true_count": 5
},
"question": "评估以下每个表达式：\n\nA. not (((意大利位于大洋洲。) or (氯的化学符号是U。)) and ((汞在常温下是液体。) or (地球是... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((not ((1896年奥运会在里约热内卢举办。) or (七月有31天。))) and ((3 % 2) < (6 + -20) < (-19 + -11))) and (((地球绕太阳运转。) or (中国的货币是人民币。)) or ((酒精在常温下是液体。) or (185是完全平方数。))) and (((((13 - 19) >= (0 * -6 - 9 * 5)) and (1968年奥运会在北京举办。)) or (((-9 + -18) <= (4 * 4 * -5 * -3)) or (瑞典的货币是雷亚尔。))) and (五月有31天。) and (not (n... | {
"game_data": {
"answer": "E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 71669960,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((not ((1896年奥运会在里约热内卢举办。) or (七月有31天。))) and ((3 % 2... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((not not ((-5 * -5 * -6 * 9) == (17 - 0))) and (((-8 + 17) == (19 * 7)) or (埃及的货币是兹罗提。))) and (((油在常温下是液体。) or (锰的化学符号是Mn。)) and (((3 * 7 - 6 * -10) > (9 * -15)) or (月球自己发光。))))
B. not ((not (十一月有30天。)) or (瑞士的货币是越南盾。) or (捷克的货币是比索。))
C. ((not not (((-8 - -12) != (-20 * 15)) and ((-4 - -12) > (... | {
"game_data": {
"answer": "B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 11271268,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. not not (((not not ((-5 * -5 * -6 * 9) == (17 - 0))) and (((... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not not (((-8 - -5) >= (-8 - -18)) and (1920年奥运会在安特卫普举办。))) and (((22是质数。) and (十月有31天。)) or ((33 % 2) == (4 ** 3)))) and (not not (not ((1948年奥运会在伦敦举办。) and ((4 ** 3) <= (12 + -2)))))) or (((((2024年奥运会在巴黎举办。) and ((40 % 9) < (8 * -2 * 6 * 6))) and ((6 * -2 * 4 * -4) > (10 * -5 - -6 * 9))) or ((... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 21743059,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not not (((-8 - -5) >= (-8 - -18)) and (1920年奥运会在安特卫普举办。)... |
logic-v2 | Examine these expressions:
A. not not (not (((Bats are blind.) and (79 is greater than 21.)) and ((The capital of Turkey is Ankara.) and ((12 - 1) <= (9 - 4)))))
B. not ((A tiger is a mammal.) and ((-10 + 7) <= (10 * -2 - -1 * -10) <= (-6 + -1)))
C. (((-20 + -3) >= (14 + -9)) or (((The capital of New Zealand is Bangko... | {
"game_data": {
"answer": "A,B,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 65221120,
"true_count": 5
},
"question": "Examine these expressions:\n\nA. not not (not (((Bats are blind.) and (79 i... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not not (not (The chemical symbol for Lead is Pb.)))
B. not ((not (((4 + 7) == (-4 * 7 - -8 * -5)) or (not ((-11 + -1) == (3 ** 3))))) or (((The chemical symbol for Phosphorus is Co.) or ((0 * -6) < (-8 * 2))) or (((1 ** 2) > (4 ... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 8034714,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\... |
logic-v2 | Below are several boolean expressions:
A. ((((-2 * 10 + -5 * -1) == (-4 * 9)) or ((3 ** 2) == (-2 - 16))) or (((-7 * 3 + 6 * 2) == (-16 * -19)) and ((-10 * 7 * -3 * 1) <= (-3 * -1 - 9 * 3) <= (24 % 6)))) or (The currency of Colombia is the Baht.) or ((-2 - -11) > (11 * 19))
B. not not (((Colombia is in South America.)... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 49505127,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. ((((-2 * 10 + -5 * -1) == (-4 * 9)) or... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((not ((not not (There are 28 days in February.)) and ((-20 * -11) <= (4 + 6)))) or ((not (((9 * -2 + 3 * -7) >= (-2 * 11)) and ((3 * 2 + 8 * 10) != (13 - -6)))) or (((6 * 5 * -6 * 8) > (0 * -14)) or ((-3 * -9 + 1 * 4) > (8 + 2))) or ... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 13373222,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not ((The capital of Ukraine is Buenos Aires.) or ((1930 is a leap year.) and ((-19 - 3) > (-4 + 12)))))
B. not not (not ((not not (The chemical symbol for Oxygen is Na.)) or (not not (There are 29 days in June.))))
C. (not not (((The 1968 Olympics were held i... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 2007308,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not ((The capita... |
logic-v2 | 审视以下逻辑表达式：
A. not not (not (not not (月球自己发光。)))
B. not not (((第二次世界大战结束发生在1950年。) or (钴的化学符号是Co。)) and ((-6 * 14) > (8 * 5 + 5 * -1)))
C. ((((12 + -11) != (2 ** 3)) or (捷克的首都是布拉格。)) and ((8 * 8 * 1 * 2) != (30 % 7))) and (((地球是距离太阳第3近的行星。) and (委内瑞拉的首都是加拉加斯。)) and (not (莱特兄弟首次飞行发生在1905年。)))
D. ((((-13 + 5) != (-13 + -... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 40352283,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not not (not (not not (月球自己发光。)))\nB. not not (((第二次世界大战结束发生在195... |
logic-v2 | Review these logical expressions:
A. Canada is in North America.
B. not not (((5 * 4) < (4 - 11)) and ((6 + 5) >= (6 - 2)))
C. not ((Bats are blind.) or (The capital of Finland is Helsinki.))
D. Nitrogen is a gas at room temperature.
E. (-6 * 10 + -7 * -3) != (-2 + 5)
F. not (A sheep is a fish.)
G. ((The chemical symb... | {
"game_data": {
"answer": "A,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 40150679,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. Canada is in North America.\nB. not... |
logic-v2 | Study the following logical statements:
A. (not not (((2 - -17) != (6 * 0 * 2 * -9)) and (((-3 * 20) != (1 ** 3)) or (The 1976 Olympics were held in Montreal.)))) or ((not not ((The chemical symbol for Neon is Sn.) or (The chemical symbol for Silicon is Si.))) or (not not ((The capital of Greece is Rome.) or ((7 * 9) ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 922442,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (not not (((2 - -17) != (6 * 0 * 2 * -9... |
logic-v2 | Analyze these boolean expressions:
A. not not (not ((Jupiter is the 2nd planet from the Sun.) or ((The chemical symbol for Zinc is Pb.) and (The capital of Singapore is Bogota.))))
B. ((((-5 * 3 + -9 * 9) < (40 % 9) < (-13 + -16)) and ((-15 * -9) != (4 ** 3))) and ((5 ** 2) < (15 - 12))) or (not (1929 is a leap year.)... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 45549699,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not not (not ((Jupiter is the 2nd pl... |
logic-v2 | 检验这些表达式：
A. not not (((2 ** 2) <= (4 - 8)) and (1984年奥运会在巴黎举办。))
B. (-12 * -5) <= (-8 - -9) <= (-9 * 11)
C. ((酒精在常温下是气体。) or ((8 * 5 + 6 * -4) >= (-9 - 4))) or ((铀的化学符号是U。) or ((-15 * 7) < (2 ** 1)))
D. 人体有206块骨头。
E. (not not (2000年奥运会在巴塞罗那举办。)) and (not (91是奇数。))
F. (十二月有31天。) or ((1996年奥运会在慕尼黑举办。) or (俄罗斯的货币是卢布。))
G... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 75659143,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not not (((2 ** 2) <= (4 - 8)) and (1984年奥运会在巴黎举办。))\nB. (-12 * ... |
logic-v2 | Below are several boolean expressions:
A. ((not (not ((Earth is the 3rd planet from the Sun.) and ((-6 - -3) > (13 * 8))))) or ((The Great Fire of London occurred in 1666.) and ((3 ** 2) != (3 * -5 + 8 * 10)))) and ((not ((11 + -2) == (19 - 13))) or (((((-9 - -7) < (3 * -8 + 4 * -3) < (16 + -7)) or ((-8 * 18) != (13 *... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 95400843,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. ((not (not ((Earth is the 3rd pl... |
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 ((丹麦的货币是索尔。) or (尼日利亚的货币是奈拉。) or ((8 + 5) <= (-1 * -6) <= (0 * -19))))) or (not not (((木头在常温下是固体。) and ((-7 * -10 - 6 * -1) < (10 * 8 + -4 * 7) < (-8 * 9 - 9 * -4))) or (not (铬的化学符号是Sn。))))
B. ((not ((not not (((9 % 2) <= (-20 - 18)) and (第一部iPhone发布发生在2005年。))) or (伦敦大火发生在1664年。... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 2411958,
"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 ((丹麦的货币是索尔。) or (尼日利亚的货币是奈拉。) or ((8... |
logic-v2 | Study the following logical statements:
A. not (54 is greater than 14.)
B. (((13 - -20) >= (-1 - 16)) and (((17 * 0) >= (8 * -5 - 6 * 4)) and (A gecko is a reptile.))) and (not ((The capital of France is Lima.) and ((-5 * -7) > (-17 + -14))))
C. ((((-7 * -16) < (-15 * 12)) and (The capital of Egypt is Cairo.)) and ((A... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 4565153,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not (54 is greater than 14.)\nB. (((... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((((地球上一天是24小时。) and ((-4 * 10 * 1 * 5) > (7 + -8))) and ((第一次世界大战结束发生在1923年。) and (太平洋是最大的海洋。))) and ((第一部iPhone发布发生在2002年。) or (((0 * -6 * 0 * 9) != (-18 + -11)) or (蜘蛛是昆虫。))))
B. not not ((((6 + -16) > (-17 + -17)) and ((11 % 3) < (43 % 5))) and ((2 * -9 * 9 * 4) <= (-6 * 5) <= (9 * -6 +... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 95146284,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((((地球上一天是24小时。) and ((-4 * 10 * 1 * 5) > (7 + -... |
logic-v2 | Consider the following logical expressions:
A. (not (((-6 * 3 + -2 * 0) < (4 ** 1)) or ((5 is greater than 62.) or (The 1972 Olympics were held in Barcelona.)) or (not (((6 * 6 * -6 * 4) != (6 + 4)) and ((12 + -11) >= (-18 * -1)))))) and (not (not (434 is a Fibonacci number.)))
B. not ((not (not not (The 1936 Olympics... | {
"game_data": {
"answer": "B,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 60944209,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. (not (((-6 * 3 + -2 * 0) < ... |
logic-v2 | Analyze these boolean expressions:
A. (not not ((16 + 6) <= (5 ** 3))) and ((Nitrogen is a liquid at room temperature.) or ((The chemical symbol for Phosphorus is Na.) or (Colombia is in South America.))) and (not not ((not ((0 * -17) > (18 % 9))) and (((3 * -6 + -1 * -2) <= (20 * 19)) or (The capital of Australia is ... | {
"game_data": {
"answer": "A,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 25019841,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. (not not ((16 + 6) <= (5 ** 3))) and... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((not ((((-1 * 1 + 7 * 3) > (25 % 3)) and (木头在常温下是液体。)) and (((47 % 6) >= (5 ** 2)) and (太平洋是最大的海洋。)))) and ((((铝的化学符号是Fe。) and (鱼有0条腿。)) and (钠的化学符号是Na。)) or (not ((4 * -3 - -7 * -1) < (-15 + 2))))) and (not not (((((-1 - -17) == (2 * 13)) or ((5 + -20) >= (24 % 8))) and (太阳绕地球运转。)) and (not (not ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 72475088,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((not ((((-1 * 1 + 7 * 3) > (25 % 3)) and (木头在常温下是液体。)) an... |
logic-v2 | 考虑以下布尔表达式：
A. (((1 + 9) < (3 % 1)) and (not ((越南的货币是克朗。) or ((1 * 1 + 1 * -5) < (20 * 9))))) and ((-2 - 11) < (4 * 5 * -2 * -9) < (-10 - 4)) and (((((5 - 5) == (15 - 19)) or (韩国的货币是韩元。)) or ((-1 + 2) <= (12 + 4))) and (((5 ** 3) <= (9 * 7)) and ((7 * -8 + 0 * -4) <= (3 ** 3))) and ((((-6 + 20) < (15 * 14)) or (中国长城是在一... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 5108149,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. (((1 + 9) < (3 % 1)) and (not ((越南的货币是克朗。) or ((1 * 1 + 1 * -5) < (... |
logic-v2 | 给定以下布尔表达式：
A. (((九月有30天。) or (蜜蜂是昆虫。)) or ((-2 * -2 + -9 * -4) != (-20 + 2))) or (第二次世界大战开始发生在1929年。)
B. (秘鲁的货币是索尔。) or ((-9 + 14) > (4 + 15))
C. (肯尼亚位于亚洲。) or ((14 - -5) <= (7 * 7 + -3 * -5))
D. not (((八月有31天。) or (韩国的货币是韩元。)) and (not not (39能被8整除。)))
E. (not not (((8 * 6 + 2 * 0) == (6 - 2)) and (秘鲁的首都是里斯本。))) or (... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 54460595,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. (((九月有30天。) or (蜜蜂是昆虫。)) or ((-2 * -2 + -9 * -4) != (-20 +... |
logic-v2 | Given the following boolean expressions:
A. (((((14 - 13) != (0 + 7)) and (The 2000 Olympics were held in Athens.)) or ((-9 - -20) < (23 % 1))) or (Water is a liquid at room temperature.)) or ((not (The capital of Colombia is Bogota.)) and (not not (The currency of Brazil is the Dong.)))
B. not ((((10 * 2 - -1 * -8) =... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 84762668,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (((((14 - 13) != (0 + 7)) and (T... |
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 (((-20 + -3) < (5 ** 2)) and (((11 - -14) < (-18 * -3)) or ((5 ** 2) >= (-15 * -5)))))) or (((not not (not not (2080年是闰年。))) or (((碳的化学符号是He。) or ((-4 - 14) != (17 - -7))) or (((4 * -6 - -9 * 10) <= (8 * 0 * 1 * 4)) and ((13 + -10) == (7 - 7))))) or (not (not ((-11 * 14) <= (6 - ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 86905265,
"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 (((-20 + -3) < (5 ** 2)) and (((11 - ... |
logic-v2 | 分析以下逻辑表达式：
A. ((((4 ** 1) < (-9 * -12) < (-5 * 0 - 2 * 8)) or ((哥伦比亚的货币是比索。) or ((4 + 11) <= (-8 + -7)))) and (((莱特兄弟首次飞行发生在1903年。) or ((19 + 6) < (2 ** 2) < (-2 * 3 + 7 * 8))) and ((火烈鸟是鸟类。) and (1999年是闰年。)))) or (not not ((((-16 - 6) > (12 - 7)) or ((12 % 6) > (3 ** 1))) and (第一次世界大战结束发生在1916年。)))
B. (not (((-2 * -6... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 18822980,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. ((((4 ** 1) < (-9 * -12) < (-5 * 0 - 2 * 8)) or ((哥伦比亚的货币是比索。)... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (not not ((not not ((((-7 * -5 * 10 * 10) > (11 % 3)) and (149是偶数。)) or ((8 - -4) == (5 ** 2)))) or ((印度尼西亚位于亚洲。) or ((埃及的货币是埃及镑。) or (捷克的货币是奈拉。))) or (((-3 * 15) > (-16 - 5)) or ((尼日利亚位于北美洲。) and ((-5 * -2 + -2 * 7) > (-1 - 0))) or (not not ((波兰的首都是曼谷。) or ((-2 + -15) < (-16 + 3) < (15 + -... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 35628325,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (not not ((not not ((((-7 * -5 * 10 * 10) > (11 ... |
logic-v2 | Examine these expressions:
A. not not (1903 is a leap year.)
B. (The square root of 36 is 6.) and ((Christopher Columbus reached America occurred in 1492.) or (not ((3 - 0) >= (-10 * -14))))
C. not not (not not ((-5 * 2) < (-9 + -10)))
D. (not (((15 - -11) > (9 % 4)) and (Venus is the 2nd planet from the Sun.))) or ((... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 20352188,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not (1903 is a leap year.)\nB. (The square r... |
logic-v2 | 下面是几个布尔表达式：
A. (-7 * -8 * -2 * -6) <= (50 % 4) <= (3 % 7)
B. not (狗有4条腿。)
C. (not not ((-12 - -5) < (10 - -5))) or (1956年是闰年。)
D. 木星是距离太阳第5近的行星。
E. (not ((-5 - 4) != (1 ** 2))) or (((-2 + -9) > (-17 + 16)) or ((-15 * 10) <= (7 * -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": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 14973626,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (-7 * -8 * -2 * -6) <= (50 % 4) <= (3 % 7)\nB. not (狗有4条腿。)\n... |
logic-v2 | 给定以下布尔表达式：
A. not not ((not not ((3 ** 2) != (2 ** 1))) or ((人类有三个肺。) or (壁虎是鸟类。)))
B. (((墨西哥位于北美洲。) or (泰坦尼克号沉没发生在1914年。)) or ((1 ** 3) != (1 ** 3))) and ((((1 % 6) < (14 + 18)) or ((-5 * -17) >= (14 + -8))) or (钙的化学符号是Ca。))
C. (((4 ** 2) == (0 * 1 * -3 * 5)) or ((日本的首都是柏林。) and (1932年奥运会在洛杉矶举办。))) and ((29 % 8) < (1... | {
"game_data": {
"answer": "A,B,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 8759044,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. not not ((not not ((3 ** 2) != (2 ** 1))) or ((人类有三个肺。) or ... |
logic-v2 | Study the following logical statements:
A. (((-5 - 15) < (1 + 11)) and (((2058 is a leap year.) or (World War II ended occurred in 1945.)) and (not not ((6 * 8 - 1 * 5) == (1 ** 3))))) and (((((4 * 10 - -7 * 5) != (7 - 16)) and (A octopus has 8 legs.)) or (((5 ** 2) >= (1 ** 2)) or (The capital of Egypt is Ottawa.))) ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 85501235,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (((-5 - 15) < (1 + 11)) and (((2058 i... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (-2 - -1) == (8 * 3 * -1 * -6)
B. ((17 - 6) == (9 * -2 * -5 * -2)) or ((巴西的货币是雷亚尔。) and (泰坦尼克号沉没发生在1912年。))
C. 闪电不会两次击中同一个地方。
D. (2 + -17) > (10 * -10)
E. (not not (铜的化学符号是N。)) and (not (泰坦尼克号沉没发生在1902年。))
F. (not (铂的化学符号是Pt。)) and (((3 ** 3) >= (2 - 15)) or ((5 ** 3) < (48 % 7)))
G. ((哥伦比亚位于南美洲。) ... | {
"game_data": {
"answer": "B,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 78751511,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (-2 - -1) == (8 * 3 * -1 * -6)\nB. ((17 - 6) == (9 * -... |
logic-v2 | 审视以下逻辑表达式：
A. ((not not ((十月有31天。) or ((15 + 0) <= (2 * 0)))) or ((not ((-20 + 19) <= (2 ** 2) <= (16 - 17))) and ((-5 * 20) <= (-7 + -10)))) and (((((-8 * 9 + -10 * 8) >= (17 * 15)) or (1970年是闰年。)) and ((新西兰位于大洋洲。) or (加拿大位于欧洲。))) and (莱特兄弟首次飞行发生在1903年。) and ((-10 * 7 * -6 * -2) != (-1 * -10 + 0 * 10)))
B. (not not (... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 69683171,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((not not ((十月有31天。) or ((15 + 0) <= (2 * 0)))) or ((not ((-20 +... |
logic-v2 | 检验这些表达式：
A. not ((2 * -8 - -3 * -6) > (5 ** 2))
B. (((日本位于非洲。) and ((-4 + 2) == (14 + 1))) or ((澳大利亚位于南美洲。) or (1933年是闰年。))) or (not not (六月有30天。)) or (((铂的化学符号是P。) and ((-10 * -4 * -10 * -1) >= (14 - 19))) and ((7 * -5 + 3 * 3) != (12 * -9)))
C. (((氯的化学符号是K。) and (澳大利亚位于南美洲。)) or (not not (283是完全平方数。))) and ((((18 - ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 30063806,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not ((2 * -8 - -3 * -6) > (5 ** 2))\nB. (((日本位于非洲。) and ((-4 + 2) ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((not not (((1 + 14) < (-10 + 7)) and (鲤鱼是鱼类。))) or (德国的首都是柏林。)) and ((((二月有28天。) or ((-16 - -18) >= (10 - 10))) or (巴西的货币是雷亚尔。)) and (not not (((15 % 9) <= (25 % 4)) and ((-12 * -11) >= (17 - 11)))))
B. (not ((not not (阿根廷的货币是里拉。)) or (not not (碳的化学符号是C。)))) and ((not (尼日利亚位于大洋洲。)) or ((1968年奥运会在墨... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 82579203,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((not not (((1 + 14) < (-10 + 7)) and (鲤鱼是鱼类。))) or (德国的首都... |
logic-v2 | Below are several boolean expressions:
A. (0 - -17) < (23 % 3)
B. The capital of Colombia is Bogota.
C. (not (Russia is in Europe.)) and (((5 - 13) < (-10 * 9 - 2 * -3)) and (India is in Asia.))
D. not not ((Mars is the closest planet to the Sun.) and (A bird has 2 legs.))
E. (The chemical symbol for Tin is Ca.) or ((... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 82557760,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. (0 - -17) < (23 % 3)\nB. The capital o... |
logic-v2 | 考虑以下布尔表达式：
A. (((not not ((14 + -12) != (7 * 1))) and (not (钙的化学符号是Mn。))) or ((not (冰在常温下是液体。)) or ((7 * 16) <= (-8 * -2 - -4 * -3)))) and ((氦气在常温下是固体。) or ((((-2 * 8 * -10 * -7) > (7 - 17)) and (苏联解体发生在1991年。)) or ((澳大利亚的货币是澳元。) or ((1 * -5 + -8 * 4) < (-3 * -15)))))
B. ((86大于71。) or (((钛的化学符号是C。) or (钻石在常温下是固体。)) an... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 56907580,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (((not not ((14 + -12) != (7 * 1))) and (not (钙的化学符号是Mn。))) or... |
logic-v2 | 分析以下逻辑表达式：
A. ((not ((-6 * -9 + 0 * -5) <= (3 + -4))) or (第二次世界大战开始发生在1939年。)) or ((2008年奥运会在北京举办。) and (((5 ** 1) == (13 + 19)) or ((0 - -15) > (-12 * 20)))) or (not ((((-4 - -11) == (34 % 2)) and (哥伦比亚的首都是堪培拉。)) or (((2 ** 1) <= (1 ** 3)) and (金鱼是鱼类。))))
B. ((((2020年奥运会在东京举办。) and (月球自己发光。)) or ((-19 + 1) != (16 * -... | {
"game_data": {
"answer": "A,B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 45336702,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((not ((-6 * -9 + 0 * -5) <= (3 + -4))) or (第二次世界大战开始发生在1939... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (19 - -9) == (3 % 6)
B. (3 ** 2) > (3 % 6)
C. South Africa is in Oceania.
D. (((10 + -13) < (-20 + 10)) or ((-8 * 17) <= (-15 + 6))) or ((A sheep is a mammal.) and (The 2000 Olympics were held in Rome.))
E. ((-12 + -18) <= (-13 + 11) <= (... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 3759845,
"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 (There are 30 days in July.)) or (((9 * -8 + 3 * -2) <= (19 % 2)) or (There are 31 days in January.))
B. (not (A snake has 8 legs.)) and (((9 * 16) == (13 * -14)) or ((-15 + -19) < (0 + -19)))
C. The chemical symbol for Uranium is U.
D. ((The currency of Switzerland is the Fr... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 98985773,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. (not (There are 30 days in July.)) o... |
logic-v2 | Below are several boolean expressions:
A. not (not not (((The square root of 1 is 1.) and (A dragonfly is a mammal.)) and ((((-10 * 14) >= (-12 - 7)) or (Earth is the 2nd planet from the Sun.)) and (The chemical symbol for Platinum is Pt.)) and (not ((The capital of Sweden is Stockholm.) and ((The 1900 Olympics were h... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 22333382,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not (not not (((The square root of 1 i... |
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 (木星是距离太阳第1近的行星。)) or (((4 + 5) < (22 % 3)) and ((17 - -14) >= (-3 * 0 - 7 * -6))))
B. (2092年是闰年。) or ((not ((5 * 13) <= (8 - -7))) or ((3 ** 3) > (-10 * 1 + -5 * 9)))
C. not (((铁的化学符号是Na。) or ((-2 * -3 + 7 * -7) <= (3 + -12))) or ((1982年是闰年。) and (地球上一天是24小时。)))
D. (((1 - 16)... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 36351730,
"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. not not ((not not (木星是距离太阳第1近的行星。)) or (((4 + 5) < (22 ... |
logic-v2 | 审视以下逻辑表达式：
A. (((not not (马是哺乳动物。)) and (((6 + -19) <= (-15 + 19)) or (阿根廷的首都是基辅。))) and (1912年奥运会在斯德哥尔摩举办。) and ((-20 * 20) != (20 - 14))) and ((not (新加坡的首都是开罗。)) or (not not (((6 - 4) < (39 % 4) < (0 * 8)) and (印度位于亚洲。))))
B. not not ((((12 * -6) >= (-7 - 1)) and (((-17 + 7) > (17 + -17)) and ((9 + -11) != (-7 - -5)... | {
"game_data": {
"answer": "A,B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 70066651,
"true_count": 7
},
"question": "审视以下逻辑表达式：\n\nA. (((not not (马是哺乳动物。)) and (((6 + -19) <= (-15 + 19)) o... |
logic-v2 | Given the following boolean expressions:
A. ((-2 * -8 * 6 * -4) != (9 * -4 * 5 * 7)) or (((The 1964 Olympics were held in Tokyo.) or (The 1936 Olympics were held in Stockholm.)) and ((Saturn is the 6th planet from the Sun.) or (128 is an odd number.)))
B. not not (not not ((14 - -7) <= (4 * -13)))
C. not not (((210 is... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 20850894,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. ((-2 * -8 * 6 * -4) != (9 * -4 * 5 *... |
logic-v2 | 检验这些表达式：
A. ((((尼日利亚位于非洲。) and ((-13 - 8) >= (-8 + 4))) and ((1936年奥运会在伦敦举办。) or (1948年奥运会在伦敦举办。))) or ((智利的货币是比索。) or ((钾的化学符号是Ag。) or (芬兰的首都是布加勒斯特。)))) or (((not ((48 % 2) != (-12 + -15))) or (((14 * -3) >= (12 + -18)) or (瑞士的货币是人民币。))) or ((10 % 1) <= (18 * 9)))
B. not not ((not not (埃及位于非洲。)) or (铬的化学符号是Cr。))
C. n... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 47794496,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. ((((尼日利亚位于非洲。) and ((-13 - 8) >= (-8 + 4))) and ((1936年奥运会在伦敦举... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (((The capital of Poland is Warsaw.) or (((A cat has 4 legs.) or ((8 * -12) == (-3 * 16))) and (Brazil is in South America.))) and (not not ((-19 * 9) > (9 - -17))))
B. not (not (not not (((Venus is the 1st planet from the Sun.) or (The currency of China is the Rup... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 65043845,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (((The capital of Poland... |
logic-v2 | 审视以下逻辑表达式：
A. (not (((木星是距离太阳第5近的行星。) or (not not ((4 ** 2) != (-7 * 8 * -2 * 7)))) and ((((16 - -9) < (8 + -12) < (-2 - -7)) or ((8 * 0 - -2 * 1) < (-5 * -8 * -6 * -2))) and (not (279是完全平方数。))))) or ((((((6 * 0 * 3 * 5) > (-5 * 7 + -2 * -5)) and (第一次世界大战开始发生在1924年。)) or ((-13 - 16) != (7 - -4))) and (((铅的化学符号是Na。) or... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 95447752,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (not (((木星是距离太阳第5近的行星。) or (not not ((4 ** 2) != (-7 * 8 * -2 * 7)... |
logic-v2 | 检验这些表达式：
A. (-1 * -9 * 1 * -6) <= (4 * -8 - -6 * 9)
B. not not (((18 + 13) == (13 + -18)) or ((4 - 1) >= (11 * 18)))
C. (0 * -6) >= (1 ** 1)
D. (not (现代奥运会首届举办发生在1898年。)) and ((7 - 18) <= (-9 * 7 * -7 * -6))
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",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 15497131,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (-1 * -9 * 1 * -6) <= (4 * -8 - -6 * 9)\nB. not not (((18 + 13) == (... |
logic-v2 | 研究以下逻辑语句：
A. (((((人类首次登月发生在1967年。) and (土星是距离太阳第6近的行星。)) and (((-16 + 18) > (-18 + -8)) or (1988年奥运会在首尔举办。))) or (((秘鲁的货币是索尔。) and ((-2 + 6) >= (6 - -7))) or ((1 ** 1) != (6 * 0)))) and (蜘蛛是昆虫。) and (not ((not not (大象有0条腿。)) or (铁在常温下是固体。)))) and (not not ((银在常温下是固体。) and ((-10 * -18) <= (-9 - -5))))
B. (((西班牙位于欧洲。) o... | {
"game_data": {
"answer": "D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 84211843,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (((((人类首次登月发生在1967年。) and (土星是距离太阳第6近的行星。)) and (((-16 + 18) > ... |
logic-v2 | Evaluate each expression below:
A. not (not not (not not (63 is an odd number.)))
B. (not not ((The chemical symbol for Hydrogen is Cr.) and ((5 * 0) < (-3 * -5 * -4 * -7) < (-6 * 14)))) or ((Russia is in Europe.) or (2083 is a leap year.))
C. not not (((Steam is a liquid at room temperature.) or (The capital of Norwa... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 9024768,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not (not not (not not (63 is an odd number... |
logic-v2 | Examine these expressions:
A. not not ((-14 - 20) == (3 * -3 * 5 * 5))
B. ((-4 * -11) < (5 * -10 - 7 * -2)) or ((-10 * 10 + 1 * 4) != (0 * -10 * 9 * 0))
C. (((12 + -4) == (-19 - -14)) or ((3 * 12) >= (18 % 4))) and ((The capital of Japan is Moscow.) or (2038 is a leap year.))
Which ones are true? List the labels of a... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 87542165,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not not ((-14 - 20) == (3 * -3 * 5 * 5))\nB. ((-4 ... |
logic-v2 | Examine these expressions:
A. (not (The human body has 206 bones.)) or ((not not (not not (76 is less than or equal to 37.))) or (((-8 * 19) <= (10 * -4) <= (18 - 9)) or (((7 * -2 + 8 * -4) != (4 * -2 - 2 * 3)) and ((-9 * -18) < (-4 * 5 + 6 * -3)))))
B. ((not not (Silver is a liquid at room temperature.)) and ((20 % 1... | {
"game_data": {
"answer": "A,B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 27565449,
"true_count": 6
},
"question": "Examine these expressions:\n\nA. (not (The human body has 206 bones.)) or... |
logic-v2 | Given the following boolean expressions:
A. ((-9 * 10 * 0 * 3) < (-2 + 13) < (-3 * -8)) or (((19 + 16) != (-10 * 10)) and (Mars is the 4th planet from the Sun.)) or ((((-19 * -17) >= (-20 * -4)) and ((-17 - 8) >= (28 % 5))) or (((17 + 11) >= (18 - 15)) or ((-3 * 0 - 5 * 3) <= (5 * -5))))
B. ((((13 + -19) <= (17 * 18) ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 41989421,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. ((-9 * 10 * 0 * 3) < (-2 + 13) <... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((((34 % 10) == (0 - 13)) and ((-1 * 18) <= (33 % 6))) or ((二月有30天。) or ((8 * 3 - 9 * 7) < (-8 * -4 + 1 * -8)))) and ((2 ** 2) != (2 * -8 - -9 * -9))) and (not not (((企鹅是鱼类。) and ((-8 * 17) <= (1 ** 2))) and (氮的化学符号是N。)))) and ((狮子是哺乳动物。) or (日本的货币是比索。)) and ((((((8 + -17) >= (7 * 14)) or ((... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 25487766,
"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. ((((((34 % 10) == (0 - 13)) and ((-1 * 18) <= (33 %... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((17 * 8) <= (-4 * 2 - -5 * -4)) or (2017 is a leap year.)
B. not (Diamond is a solid at room temperature.)
C. ((-17 + 10) <= (-2 * -5 + 0 * -9)) and ((2 * 2) < (13 + 3)) and ((not ((5 ** 1) < (6 * 8 + -1 * -4))) or ((Mercury is the 1st p... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 94603336,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 给定以下布尔表达式：
A. not (not not (not not ((-1 * 7 * 10 * -8) != (6 * -19))))
B. not ((((-3 * 9) < (-10 * 10 - -10 * 2)) and (哥伦比亚的首都是波哥大。)) and (氯的化学符号是Cl。))
C. ((((39 % 10) < (-4 * 10 - 7 * -5)) or ((5 * -1 * -10 * 5) < (4 ** 1))) and (not (闪电不会两次击中同一个地方。))) or (((222是完全平方数。) and (人类有2条腿。)) and (海王星是距离太阳第2近的行星。))
D. (((银在... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 93689187,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. not (not not (not not ((-1 * 7 * 10 * -8) != (6 * -19))))\nB. ... |
logic-v2 | 检验这些表达式：
A. (((not not ((海王星是距离太阳第8近的行星。) or (埃及的货币是泰铢。))) and ((1968年奥运会在墨西哥城举办。) or ((-4 * 18) == (-15 * -2))) and (((氢的化学符号是Sn。) or (银的化学符号是Hg。)) or ((2023年是闰年。) and ((15 + -8) <= (9 + 20))))) and (not (意大利的首都是拉巴特。)) and (not (银的化学符号是Ag。))) and (not (not not ((((17 * -14) > (-14 * -15)) and (硅的化学符号是Si。)) and (not (... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 21821565,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (((not not ((海王星是距离太阳第8近的行星。) or (埃及的货币是泰铢。))) and ((1968年奥运会在墨西哥城... |
logic-v2 | Given the following boolean expressions:
A. not not (not not (((Ice is less dense than liquid water.) and (The first Olympic Games of modern era occurred in 1896.)) or (The United States declared independence occurred in 1776.)))
B. ((((The currency of Nigeria is the Real.) or (Humans only use 10% of their brain.)) an... | {
"game_data": {
"answer": "A,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 41815404,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not not (not not (((Ice is less ... |
logic-v2 | Study the following logical statements:
A. not (not (not not ((9 * 0) < (-17 - 1) < (3 * 7 + 0 * -6))))
B. ((not ((17 % 3) <= (1 ** 2))) or (Sharks are mammals.)) or ((3 - 18) > (-6 - 3)) or ((There are 30 days in April.) and (not not (346 is a perfect square.)))
C. (not (Spain is in Oceania.)) and (((41 % 3) < (-10 *... | {
"game_data": {
"answer": "B,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 15756640,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not (not (not not ((9 * 0) < (-17... |
logic-v2 | Examine these expressions:
A. (not ((-18 + 2) != (-5 + 4))) or ((((7 % 3) <= (-4 * 14)) or (A spider has 8 legs.)) and (The 2012 Olympics were held in Rio de Janeiro.))
B. ((not not (There are 28 days in August.)) and (((40 % 7) < (-4 - -10) < (11 % 9)) and ((-6 * 2 - 7 * -6) == (19 + -7)))) or ((The Great Wall of Chi... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 6925711,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (not ((-18 + 2) != (-5 + 4))) or ((((7 % 3) <= (-... |
logic-v2 | 下面是几个布尔表达式：
A. ((((9 - 9) >= (-3 - 20)) and (((5 ** 1) >= (-16 - -9)) and (月球自己发光。))) or (((8 * 6 - -2 * -2) < (9 * 7 + 2 * -4)) or ((-20 - -15) >= (-19 + 9))) or (新西兰位于大洋洲。)) and (not not (4小于等于30。))
B. ((not not (not (挪威的首都是奥斯陆。))) or (((木头在常温下是气体。) or ((-4 * -6 * 4 * -5) < (3 ** 1))) and ((捷克的货币是克朗。) and (25的平方根是7。... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 26785995,
"true_count": 6
},
"question": "下面是几个布尔表达式：\n\nA. ((((9 - 9) >= (-3 - 20)) and (((5 ** 1) >= (-16 - -9)) ... |
logic-v2 | Below are several boolean expressions:
A. not ((not (not not ((36 % 7) == (15 * -5)))) and ((-20 + 0) <= (-5 * -4 - 7 * 3)))
B. not (((40 % 2) < (1 + -11) < (14 * -14)) and (not not ((5 ** 1) > (-16 + 3))) and ((2 ** 2) > (-3 + 0)))
C. (((not not ((-6 - -14) < (-20 + -20))) and (((9 - -16) > (-1 * 3 * 2 * 6)) and ((-2... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 82352441,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not ((not (not not ((36 % 7) == (1... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.