env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not not ((-6 * -1 - -6 * 10) != (4 * 5 + 9 * 4)))
B. (((((32 % 10) < (16 - 19)) and (Air is a solid at room temperature.)) or (not not ((3 ** 3) > (-15 * 19)))) and ((((11 * -8) <= (-16 + -18)) and (The human body has 150 bones.)... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 37382760,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Consider the following logical expressions:
A. not not ((((United States is in North America.) or (Thailand is in South America.)) and ((14 - 1) > (2 % 8))) and ((7 - -12) > (3 * 8 + -5 * -7)) and (not (The 1896 Olympics were held in Helsinki.)))
B. not not ((The capital of Singapore is Singapore.) and ((-2 * -4 * -6 ... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 77381104,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. not not ((((United States i... |
logic-v2 | 审视以下逻辑表达式：
A. 1980年奥运会在莫斯科举办。
B. ((4 ** 3) <= (-18 + 0) <= (-3 * -18)) or ((121的平方根是12。) and ((-8 * -6 - 5 * 1) < (-19 - -11)))
C. ((11 + 19) <= (-5 - -3) <= (7 * 5 - -8 * -5)) and ((14 % 10) != (-11 + -12))
D. ((八月有31天。) or ((-2 * -9 - -7 * -7) <= (-7 * 1 * 6 * -5))) or (鳄鱼是爬行动物。)
E. 金在常温下是固体。
F. (-15 * -19) > (1 ** ... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 43140536,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. 1980年奥运会在莫斯科举办。\nB. ((4 ** 3) <= (-18 + 0) <= (-3 * -18)) or... |
logic-v2 | Given the following boolean expressions:
A. not not (not not (not (95 is a prime number.)))
B. not (not not (34 is divisible by 10.))
C. ((((-1 * -9 - 1 * 1) != (5 - 4)) and (46 is divisible by 3.)) or (((4 + 9) <= (3 * 0)) or (The chemical symbol for Silicon is Si.))) or ((Earth is the 3rd planet from the Sun.) or ((... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 69766033,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not not (not not (not (95 is a p... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((氮的化学符号是K。) and ((硫的化学符号是S。) and (莱特兄弟首次飞行发生在1903年。))) or ((0 - 3) < (8 + -20) < (13 + -19))) and (西班牙的首都是马德里。) and (not (蟑螂是昆虫。))
B. (((3 - 20) != (2 - 15)) and ((not not (1964年奥运会在亚特兰大举办。)) or (not ((18 % 2) != (14 * 3))))) or ((not not (((-8 - -15) >= (5 ** 2)) and (莱特兄弟首次飞行发生在1893年。))) o... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 46758218,
"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. (((氮的化学符号是K。) and ((硫的化学符号是S。) and (莱特兄弟首次飞行发生在1903年。... |
logic-v2 | 研究以下逻辑语句：
A. (((((9 * 5 + -6 * -7) <= (1 - -12)) or (土星是距离太阳第4近的行星。)) and ((5 - -3) != (2 ** 1))) or ((-7 - -18) < (5 ** 2))) and ((not ((-13 * 13) <= (5 % 5))) or (金的化学符号是He。))
B. ((((海王星是距离太阳第8近的行星。) or (蜥蜴是鱼类。)) or ((2095年是闰年。) and ((-2 * 7 - 6 * 7) >= (-16 * -20)))) and ((1 ** 1) > (20 * 10))) or ((15 - -11) != (1... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 18785564,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (((((9 * 5 + -6 * -7) <= (1 - -12)) or (土星是距离太阳第4近的行星。)) and ((5 - ... |
logic-v2 | 考虑以下布尔表达式：
A. (not (not ((木星是距离太阳第5近的行星。) and (泰国的首都是布拉格。)))) and ((not not ((1992年奥运会在阿姆斯特丹举办。) and ((越南位于北美洲。) and (第一次世界大战开始发生在1914年。)))) and ((水星是距离太阳第1近的行星。) and (2016年奥运会在伦敦举办。)))
B. (((天王星是距离太阳第3近的行星。) and ((九月有30天。) and (((-17 - 4) > (-7 * 7 - -8 * 3)) and ((-8 + 3) == (7 * 4 * 6 * -8))))) and (((((1 - -17) !=... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 62414842,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. (not (not ((木星是距离太阳第5近的行星。) and (泰国的首都是布拉格。)))) and ((not not ((19... |
logic-v2 | 分析以下逻辑表达式：
A. (not not (not not ((((-13 * -1) < (7 * -8 * 7 * 0)) or (汞的化学符号是Mg。)) and (not (鸡有2条腿。))))) or (not ((not not ((17 + -7) < (4 ** 2))) or ((122是偶数。) or (67是斐波那契数。)))) or ((not not (((人类每只手有五个手指。) and (月球绕地球运转。)) or ((月球自己发光。) or (菲律宾的货币是克朗。)))) or (not not (((蚂蚁有6条腿。) or ((20 % 2) >= (-12 + 16))) and ((加拿大... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 31185090,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (not not (not not ((((-13 * -1) < (7 * -8 * 7 * 0)) or (汞的化学符号是Mg。... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (((4 * 1 * -3 * 3) >= (8 * 6)) or (not not (((14 * -13) < (-3 * -10)) and ((16 % 2) <= (4 % 3))))) and (not ((not (The 2016 Olympics were held in Rio de Janeiro.)) and (The capital of Thailand is Bangkok.)))
B. ((((2019 is a leap year.) o... | {
"game_data": {
"answer": "A,B,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 55193495,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | 研究以下逻辑语句：
A. (((0 + 20) <= (16 * 6)) and ((7 * 0 * 8 * -3) > (0 * -19))) or (not not ((-17 * 10) != (-13 * -11)))
B. (1911年是闰年。) and ((铅的化学符号是He。) and (声音无法在真空中传播。))
C. not (地球是距离太阳第3近的行星。)
D. (-3 * 0 * 0 * 10) < (-6 * 13)
E. (((5 - 13) >= (1 * 4 + 1 * 8)) or (第二次世界大战结束发生在1946年。)) and (第一次世界大战开始发生在1914年。)
F. not not (... | {
"game_data": {
"answer": "A,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 8730381,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (((0 + 20) <= (16 * 6)) and ((7 * 0 * 8 * -3) > (0 * -19))) or (... |
logic-v2 | Evaluate each expression below:
A. (not ((-19 * -2) >= (4 * 9 * 10 * 3))) or (not ((((4 ** 1) != (2 ** 3)) or ((-12 - 10) != (-12 * -6))) or ((The currency of South Africa is the Yen.) and (Jupiter is the 5th planet from the Sun.))))
B. not not ((not (not not (The chemical symbol for Helium is Pt.))) and ((((-8 * -13)... | {
"game_data": {
"answer": "A,B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 13224276,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. (not ((-19 * -2) >= (4 * 9 * 10 * 3))... |
logic-v2 | 考虑以下布尔表达式：
A. not not ((((1 * 4) != (17 - -16)) and (2024年奥运会在巴黎举办。)) and (not (人类每只手有五个手指。)))
B. ((-4 - -18) > (13 - 11)) and (((19 - 13) < (-16 * 6)) and (铝的化学符号是O。)) and (((-2 * 12) > (12 - -1)) and (not ((20 * -16) > (29 % 6))))
C. ((((-10 * -14) <= (-15 * -9) <= (-11 - -2)) and ((16 % 3) <= (-14 + -4) <= (23 % 2)... | {
"game_data": {
"answer": "F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 93110213,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not not ((((1 * 4) != (17 - -16)) and (2024年奥运会在巴黎举办。)) and (not... |
logic-v2 | Review these logical expressions:
A. ((A elephant has 4 legs.) and (50 is divisible by 4.)) or ((-15 + 2) != (8 * 8 - 5 * -1))
B. The chemical symbol for Phosphorus is Co.
C. (Christopher Columbus reached America occurred in 1492.) or (((8 - 17) > (-7 * 7 - 7 * 3)) or (The chemical symbol for Magnesium is Mg.))
D. (((... | {
"game_data": {
"answer": "A,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 21338954,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. ((A elephant has 4 legs.) and (50 is ... |
logic-v2 | 下面是几个布尔表达式：
A. not (((哥伦比亚的货币是比索。) and (阿根廷的货币是比索。)) and (not not (古巴的首都是雅典。)))
B. not (1964年奥运会在东京举办。)
C. not (188是斐波那契数。)
D. not not (((蚂蚁有8条腿。) and ((3 * -14) > (11 * 14))) or (not not ((12 - 4) == (0 * -1 * -4 * 7))))
E. (((短吻鳄是鸟类。) and ((8 * 6 + 9 * 0) > (9 * -5 * -3 * 4))) or (((1 * -10 * 10 * 4) <= (19 + 16)) a... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 71116259,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not (((哥伦比亚的货币是比索。) and (阿根廷的货币是比索。)) and (not not (古巴的首都是雅典。... |
logic-v2 | 审视以下逻辑表达式：
A. not not ((1968年奥运会在墨西哥城举办。) and (摩洛哥的首都是安卡拉。))
B. (((4 + 6) <= (-9 * 5 * -7 * -9)) or (鸭子有2条腿。)) or ((1964年奥运会在东京举办。) and (39能被2整除。))
C. not not (not (2024年奥运会在巴黎举办。))
D. (not (油在常温下是固体。)) and (1900年奥运会在巴黎举办。)
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 54892405,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not not ((1968年奥运会在墨西哥城举办。) and (摩洛哥的首都是安卡拉。))\nB. (((4 + 6) <= ... |
logic-v2 | 考虑以下布尔表达式：
A. not ((1 - 17) < (4 * -9 + -10 * 4))
B. not not (((14 + -20) >= (7 * -5)) and (大象有4条腿。))
C. not not ((狗有6条腿。) or (143是奇数。))
哪些表达式的值为 True？请在 \boxed{} 中给出答案，用逗号分隔选项标识。 | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 11398291,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. not ((1 - 17) < (4 * -9 + -10 * 4))\nB. not not (((14 + -20) >... |
logic-v2 | 分析以下逻辑表达式：
A. ((not ((3 ** 2) != (-13 + 6))) and ((854是斐波那契数。) or (莱特兄弟首次飞行发生在1903年。))) or (not (铁在常温下是固体。)) or (((太平洋是最大的海洋。) or (鸭子有100条腿。)) and ((4 % 5) > (47 % 3)))
B. not ((not ((29 % 8) <= (8 * -9 + 0 * 5))) and ((7 - -12) != (-10 * -3 - -7 * 1)))
C. (((7 * -7) == (13 - -15)) or ((钻石在常温下是固体。) and (190是奇数。))) and... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 99033517,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. ((not ((3 ** 2) != (-13 + 6))) and ((854是斐波那契数。) or (莱特兄弟首次飞行发生在... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not not ((-5 * -5 - -1 * 0) >= (9 + -14)))
B. ((((10 * 8 * 7 * -2) != (15 * 11)) and (((16 + -6) <= (-8 * 5 * 9 * -8)) and ((-8 + 4) >= (17 - -6)))) or (((A carp is a bird.) or ((6 * -8 + 4 * -3) != (15 - 9))) and ((21 is a prime num... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 62953294,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Consider the following logical expressions:
A. not (((not (Mars is the 4th planet from the Sun.)) or ((not not ((Jupiter is the 4th planet from the Sun.) and ((16 + -7) == (-16 - -8)))) and ((30 % 9) <= (5 * -2 - 2 * -4)))) and ((((4 * 0 * 6 * 2) == (17 - 0)) or ((38 % 4) > (3 - -3))) and (The capital of Austria is Vi... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 9427436,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. not (((not (Mars is the 4th ... |
logic-v2 | 下面是几个布尔表达式：
A. (((((-17 * -5) >= (30 % 4)) or ((7 * 10) <= (9 * 2 - 0 * 2))) or ((1936年奥运会在墨西哥城举办。) or (三月有31天。))) and ((第一部iPhone发布发生在2007年。) and ((20 % 2) > (2 % 8)))) or (not (((肯尼亚的首都是内罗毕。) and ((1 * 12) != (2 * 5))) and (((19 + 15) <= (4 * 7) <= (2 - -7)) and (蛇有2条腿。))))
B. (((((18 + 9) <= (-4 * -9)) and ((-11 + ... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 24002024,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (((((-17 * -5) >= (30 % 4)) or ((7 * 10) <= (9 * 2 - 0 * 2))) o... |
logic-v2 | Analyze these boolean expressions:
A. not (not not ((((((-20 - -10) != (-2 * -13)) or (16 is a perfect square.)) and (not not (A butterfly has 8 legs.))) or (((-16 + -3) != (6 * 20)) or (not ((13 - -15) == (-15 - 16))))) and ((The chemical symbol for Silicon is Ca.) or ((-2 + 1) >= (7 + -16)))))
B. not not (not not (n... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 49275534,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not (not not ((((((-20 - -10) != (-2 *... |
logic-v2 | Analyze these boolean expressions:
A. not (not (((A dog has 6 legs.) or ((The speed of light is approximately 300,000 km/s.) or ((A carp is a bird.) or ((-6 + 12) != (17 * 10))))) and (((not ((-12 + 9) == (7 * -10 - -9 * 3))) or (not not (Steam is a liquid at room temperature.))) or ((12 + 4) <= (11 + 1)))))
B. not ((... | {
"game_data": {
"answer": "A,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 75597979,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not (not (((A dog has 6 legs.) or ((... |
logic-v2 | 下面是几个布尔表达式：
A. not (not (not (not not (((16 - -13) == (1 ** 2)) or (((18 * -7) <= (17 + 18) <= (-10 + 6)) or (木星是距离太阳第2近的行星。))))))
B. not (not (((((2007年是闰年。) or ((-5 * 16) <= (15 - 11))) and (((18 + 4) > (6 % 10)) or (91是质数。))) and ((1896年奥运会在里约热内卢举办。) or (氧气在常温下是气体。)) and (((-16 + 5) == (3 - -13)) and ((氢的化学符号是N。) o... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 43822405,
"true_count": 6
},
"question": "下面是几个布尔表达式：\n\nA. not (not (not (not not (((16 - -13) == (1 ** 2)) or (((... |
logic-v2 | 检验这些表达式：
A. not not (((1912年奥运会在斯德哥尔摩举办。) and (人类首次登月发生在1969年。)) and ((鹰是鸟类。) or ((1 ** 1) != (-2 * 4 - -9 * 10))))
B. (not not (((-10 * 7) >= (-5 * 8 - -5 * 1)) and (现代奥运会首届举办发生在1897年。))) or (人类有三个肺。)
C. (人类首次登月发生在1967年。) or (not (肯尼亚位于大洋洲。))
D. not (8小于等于30。)
E. ((((6 + 18) <= (1 ** 2)) and ((29 % 4) >= (-7 + 1))) a... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 91981435,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not not (((1912年奥运会在斯德哥尔摩举办。) and (人类首次登月发生在1969年。)) and ((鹰是鸟类。... |
logic-v2 | Review these logical expressions:
A. not not ((((6 - 7) <= (5 - 13)) or ((The first moon landing occurred in 1969.) or (Wood is a solid at room temperature.))) and ((-1 - 15) != (25 % 7)))
B. ((not not (((1 ** 1) > (-16 - 6)) and (Alcohol is a liquid at room temperature.))) or (((16 % 9) < (16 + -18)) and (not not (14... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 31155362,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not ((((6 - 7) <= (5 - 13)) or ((Th... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (((((3 * -7) >= (-1 - 11)) and (not not ((-13 * 0) != (13 * -10)))) and (not (not (((0 + -12) != (-6 + -2)) or (三月有31天。))))) or ((((-6 + -16) < (46 % 1)) or ((not not (磷的化学符号是H。)) or ((钻石在常温下是气体。) or (沙特阿拉伯的货币是里亚尔。)))) or (((木头在常温下是液体。) and (铜在常温下是固体。)) or (not not ((11 * 3) >= (-1 * 16)))... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 9791101,
"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 (((((3 * -7) >= (-1 - 11)) and (not not ((-13 ... |
logic-v2 | Study the following logical statements:
A. not not (not not (not not ((-19 - -20) != (-1 + 6))))
B. (not not (((not ((5 + -6) <= (-5 * 6 + 9 * 7))) and (((-11 + -12) > (20 * 18)) and ((7 * 6 * 3 * 2) <= (5 - -17)))) and (not not ((41 % 2) < (17 * -13))) and ((((6 + 7) >= (10 - -14)) and ((-15 + -16) != (0 * 1 * 3 * -8... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 82691847,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not (not not (not not ((-19 - -... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not (not not (not (The 1952 Olympics were held in Sydney.))))
B. (not (not (not ((-8 - 13) > (-15 - 19))))) and (not (((not (((2 ** 1) != (19 % 7)) and ((0 + 12) == (-12 - -13)))) and (not (not ((18 * -19) < (1 * 7 * -8 * 3))))) ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 80723907,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 评估以下每个表达式：
A. (not ((((-1 + 6) >= (2 - -8)) or (not (天王星是距离太阳第4近的行星。))) and ((((10 * 17) <= (-8 * -12)) and (俄罗斯位于亚洲。)) and (((-5 - 15) != (24 % 2)) and (铁的化学符号是Fe。))) and (((((-6 * 8 - -9 * 3) <= (-6 + 12) <= (-11 * -1)) and (哥伦比亚位于南美洲。)) and (((3 + -8) > (2 * 3 - -8 * -5)) or (智利位于非洲。))) or ((((-4 * -11) != (33 % 2)... | {
"game_data": {
"answer": "A,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 20021095,
"true_count": 5
},
"question": "评估以下每个表达式：\n\nA. (not ((((-1 + 6) >= (2 - -8)) or (not (天王星是距离太阳第4近的行星。))) ... |
logic-v2 | Below are several boolean expressions:
A. not not (not (not not ((not (((1 ** 1) >= (17 * -6)) or ((-20 + 2) < (-13 - 2)))) and ((7 - -5) <= (-6 * 4 * -8 * -6)))))
B. not not ((not (((not not ((-4 + 20) != (-20 * 20))) or ((The capital of France is Warsaw.) or (Wood is a solid at room temperature.))) and (not ((-2 * -... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 74079030,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not not (not (not not ((not (((1... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((not not ((((3 + -15) == (17 % 4)) or ((13 * -13) > (-7 + -3))) and (((-11 - -13) < (-13 + -8) < (-4 + 12)) or (十月有31天。)))) and (not ((not not ((3 * 6 + 5 * 2) != (-8 * 19))) or (64的平方根是4。)))) or (not ((地球是距离太阳第1近的行星。) and (钴的化学符号是Co。))) or (not not ((not not ((第一次世界大战结束发生在1918年。) or ((18 * 6... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 11751559,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((not not ((((3 + -15) == (17 % 4)) or ((13 * -13) > ... |
logic-v2 | Review these logical expressions:
A. not ((not ((not not (The United States declared independence occurred in 1776.)) and (((6 * 2 + -9 * -6) <= (0 + 19)) or (A goldfish is a fish.)))) or ((The currency of Egypt is the Pound.) and ((9 - 17) != (16 - -16))))
B. not (not (not not ((-6 * 7 * -7 * -8) != (-20 * -14))))
C.... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 31097045,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not ((not ((not not (The United States ... |
logic-v2 | Given the following boolean expressions:
A. (not not ((not (Humans only use 10% of their brain.)) and ((not (The first moon landing occurred in 1969.)) and (World War I ended occurred in 1918.)))) or (not not (((-18 - -13) <= (12 * 12) <= (-2 - -17)) or ((not ((4 * 3 + 5 * 3) == (21 % 4))) or (not (The square root of ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 31862038,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (not not ((not (Humans only use 10... |
logic-v2 | Analyze these boolean expressions:
A. (not not (not (The capital of Indonesia is Jakarta.))) and (not not (((not ((1 * 9) <= (12 * 17) <= (-3 * 1 - -9 * 6))) and (((3 * -18) <= (47 % 4) <= (-16 * 9)) and (The currency of United Kingdom is the Pound.))) and ((not not (A alligator is a reptile.)) and (not ((49 % 10) < (... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 4263328,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (not not (not (The capital of Indonesia i... |
logic-v2 | 下面是几个布尔表达式：
A. ((not ((((14 * -13) < (-11 * -5)) or ((9 - 0) < (16 * -2))) and ((中国位于亚洲。) and (水星是距离太阳第4近的行星。)))) and (not not (马有4条腿。))) and ((((土星是距离太阳第6近的行星。) and (((-2 * -11) == (6 % 2)) and (月球自己发光。))) and (not not (水在常温下是液体。))) or (not not ((not not ((2 ** 1) >= (-20 * -1))) and (((-2 * 20) <= (4 * -9 + 9 * 7)) ... | {
"game_data": {
"answer": "B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 24476560,
"true_count": 5
},
"question": "下面是几个布尔表达式：\n\nA. ((not ((((14 * -13) < (-11 * -5)) or ((9 - 0) < (16 * -2)... |
logic-v2 | Given the following boolean expressions:
A. (not ((((The currency of Poland is the Peso.) and (Lightning never strikes the same place twice.)) and ((18 * 0) != (-5 - -9))) or ((0 * 16) < (7 + 10)))) and ((not (not ((17 + 12) == (-1 - 20)))) and ((not ((The 1980 Olympics were held in Amsterdam.) and (Italy is in Asia.)... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 78514400,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (not ((((The currency of Poland ... |
logic-v2 | 审视以下逻辑表达式：
A. not ((not (((3 ** 2) == (10 * 20)) or (not not ((0 * 1 + 9 * 2) < (-3 - 18) < (1 ** 1))))) or (((火星是距离太阳最近的行星。) and (((9 - 5) == (1 * 7 * -5 * -4)) and (哥伦布到达美洲发生在1494年。))) and ((八月有29天。) or ((电流比光速更快。) and ((7 + -5) != (0 + 11))))))
B. (not (not not (296是斐波那契数。))) or (((声音无法在真空中传播。) and ((中国的货币是人民币。) or... | {
"game_data": {
"answer": "B,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 2557826,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. not ((not (((3 ** 2) == (10 * 20)) or (not not ((0 * 1 + 9 * ... |
logic-v2 | Analyze these boolean expressions:
A. The capital of Canada is Ottawa.
B. (-15 - -13) >= (1 * -16)
C. (47 is a prime number.) and ((Water is a liquid at room temperature.) and (The 2008 Olympics were held in Berlin.))
D. not not (((-17 - -6) > (23 % 6)) or (Humans have three lungs.))
E. (((-14 * 7) == (-17 + 2)) or ((... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 40160959,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. The capital of Canada is Ottawa.\nB. (-1... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((not not (氧的化学符号是Ne。)) or (not ((-2 + -4) <= (8 + -1))) or (海王星是距离太阳第4近的行星。)) or (not ((5 ** 1) != (4 - 13))) or ((((罗马尼亚的首都是巴黎。) or (泰坦尼克号沉没发生在1922年。)) and ((8 % 8) >= (0 * -10 - 7 * -2))) and ((印度的首都是新德里。) and ((18 - -16) < (-1 + -6))))) and ((((-8 * -10 - -3 * -3) >= (-2 * -2)) or ((((15 ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 83020458,
"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 (氧的化学符号是Ne。)) or (not ((-2 + -4) <= (8 + -1)... |
logic-v2 | 研究以下逻辑语句：
A. not ((((not not (希腊的首都是开罗。)) or (金在常温下是固体。)) and ((月球绕地球运转。) and ((19 + 1) == (1 * 0 - -1 * -5))) and (氖的化学符号是Ne。)) and (not not (((16 * 6) != (-10 - 11)) or (氦气在常温下是气体。))))
B. ((not not (((墨西哥的首都是墨西哥城。) and (2016年奥运会在里约热内卢举办。)) and ((银的化学符号是Ag。) and ((3 ** 1) > (-3 * 0 * -6 * 7))))) and (not ((not not ((... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 33119330,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not ((((not not (希腊的首都是开罗。)) or (金在常温下是固体。)) and ((月球绕地球运转。) and ... |
logic-v2 | Examine these expressions:
A. (5 * -2) < (-17 + 13) < (7 * -2)
B. ((Indonesia is in Asia.) and ((-8 * -3) < (-2 * -7 * 0 * -1))) and ((Oil is a liquid at room temperature.) or (The chemical symbol for Zinc is Zn.))
C. A peacock is a bird.
D. (-5 * -19) > (2 % 2)
E. not ((2 ** 1) < (16 % 4) < (-14 - 12))
F. (A bat is a... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 71751001,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. (5 * -2) < (-17 + 13) < (7 * -2)\nB. ((Indon... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not (((The 1980 Olympics were held in Moscow.) and ((16 * 11) > (6 + -12))) or (((4 * 5 * -7 * -8) <= (-3 - 8)) and (South Korea is in Antarctica.))))
B. (not not (The currency of United States is the Dollar.)) and ((not not ((Th... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 34270037,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Analyze these boolean expressions:
A. (15 - -11) < (5 ** 2)
B. (-16 + -18) < (-8 * 9 * -3 * -10)
C. Argentina is in South America.
D. (-18 - 3) != (3 * 9)
E. (not ((5 - 5) > (-4 - -2))) or (not not (A goldfish is a fish.))
F. not (((-1 * 4) <= (14 - 11)) and (The currency of Thailand is the Baht.))
G. (1 + 12) >= (-9 ... | {
"game_data": {
"answer": "C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 28503243,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. (15 - -11) < (5 ** 2)\nB. (-16 + -18... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((Saturn is the 4th planet from the Sun.) or ((The square root of 169 is 13.) or ((A horse has 10 legs.) and (Water is a gas at room temperature.)))) and (((-14 + 7) > (-2 * 3 * 10 * 6)) or ((Morocco is in Africa.) or (((4 * 20) <= (-4 * ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 23280486,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Examine these expressions:
A. not not (not not ((((4 * 1 * -2 * 8) < (-10 * -1 * 6 * 0)) and ((((16 % 2) < (0 + 9) < (2 ** 3)) or (The capital of Denmark is Lisbon.)) or ((-5 * 8 - 5 * 9) > (3 * -10 + 10 * 8)))) or ((5 ** 3) != (49 % 1)) or (not ((not not ((-14 - 14) == (-2 - -2))) or (not not (The 2008 Olympics were ... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 88859397,
"true_count": 5
},
"question": "Examine these expressions:\n\nA. not not (not not ((((4 * 1 * -2 * 8) < (-1... |
logic-v2 | Analyze these boolean expressions:
A. not (((not (((11 % 1) < (-11 + 2)) and (not not ((4 + -20) <= (9 * 2 - 8 * 5))))) and (not (Humans have five fingers on each hand.))) and ((((-20 + -12) == (6 + -16)) and ((2 + -12) == (-10 * -9 + 9 * -2))) and (not ((((7 * -1) >= (-19 + 2)) or ((-1 - 13) > (-11 * -20))) and (Wate... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 11685200,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not (((not (((11 % 1) < (-11 + 2)) a... |
logic-v2 | Study the following logical statements:
A. (not not (not ((Lightning never strikes the same place twice.) and ((7 * 6) == (-12 * 2))))) and (not (not not (((((1 * 17) == (-7 * 4 + -9 * 10)) or ((-7 * 4 * -5 * 1) < (31 % 10) < (11 + -18))) and (The 1924 Olympics were held in Paris.)) or ((not (A elephant has 6 legs.)) ... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 50112296,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (not not (not ((Lightning never strik... |
logic-v2 | Examine these expressions:
A. not not (((not not (The currency of Indonesia is the Rupee.)) or (not (not not (((-17 + 0) > (7 + 7)) or ((-8 * -4 - -10 * -8) == (-1 * -10 - 10 * -5)))))) or ((((4 ** 2) != (-4 + 14)) or ((-1 * 7 * 0 * 7) <= (5 * 14) <= (-4 * -8 - -2 * -1))) and ((not ((15 * 6) < (17 + -12))) and (((Oxyg... | {
"game_data": {
"answer": "A,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 46015313,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. not not (((not not (The currency of Indonesi... |
logic-v2 | Study the following logical statements:
A. not not (not not ((not not (not (not not ((5 % 8) < (8 - -5))))) or (((not not (A day on Earth is 24 hours.)) and (not not ((-15 * -12) == (-15 - 2)))) and ((13 is less than or equal to 80.) and (Brazil is in Antarctica.)) and ((0 - 14) != (2 * 1 + 5 * 1)))))
B. ((not not (no... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 61393214,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not (not not ((not not (not (no... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not not (not (锌的化学符号是C。))) and (((-6 * -1 + 2 * 4) >= (-18 - -14)) or (金的化学符号是Cr。)) and ((not (牛有4条腿。)) and ((印度的货币是卢比。) or (169的平方根是10。)))) or ((not not ((-3 - 16) <= (12 + -16))) or ((匈牙利的货币是林吉特。) and (秘鲁位于南美洲。))) or (((-20 + 6) > (-4 * 5 - 6 * 4)) or ((中国的货币是克朗。) or (鲱鱼是鸟类。)) or ((1 * 0 - -10... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 8516155,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not not (not (锌的化学符号是C。))) and (((-6 * -1 + 2 * 4) >= ... |
logic-v2 | Evaluate each expression below:
A. not not (((((((19 + -2) > (1 - 0)) and (74 is divisible by 3.)) or (The chemical symbol for Lead is N.)) and ((A spider has 8 legs.) or (The Soviet Union dissolved occurred in 1991.)) and (((-13 - -7) <= (-2 * 6 - -3 * 2)) or (((1 + -10) <= (5 ** 2)) or ((4 ** 3) <= (19 % 7) <= (34 %... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 65721147,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not not (((((((19 + -2) > (1 - 0)) and (74 ... |
logic-v2 | 给定以下布尔表达式：
A. ((not not ((((152是偶数。) and (伦敦大火发生在1666年。)) or (not not (马有4条腿。))) and (64的平方根是8。))) and (((not not (鲱鱼是爬行动物。)) and (((-20 * 5) != (-8 * 7 + -4 * -2)) and (not not (2060年是闰年。)))) or (((18 % 9) > (17 + -13)) or (现代奥运会首届举办发生在1898年。) or (((5 + -13) <= (2 + -4)) and (马有8条腿。))))) and (not (not (((((-6 - -3) >... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 6356542,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. ((not not ((((152是偶数。) and (伦敦大火发生在1666年。)) or (not not (马有4条腿。))) ... |
logic-v2 | 检验这些表达式：
A. not not ((((not (青蛙有6条腿。)) and ((2 * 5 * 9 * 2) < (-2 * 10 * 5 * 0) < (-11 + -12)) and (((421是斐波那契数。) and (蜻蜓是鱼类。)) or ((钛的化学符号是Ti。) or ((-13 * 11) < (3 ** 2))))) or (((((-7 * -6 * -2 * -6) != (15 - -19)) and (土星是距离太阳第4近的行星。)) and ((27 % 1) <= (0 - -16) <= (3 * -17))) and (锰的化学符号是Mn。))) or (((not not ((-1 ... | {
"game_data": {
"answer": "D,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 57521416,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. not not ((((not (青蛙有6条腿。)) and ((2 * 5 * 9 * 2) < (-2 * 10 *... |
logic-v2 | Evaluate each expression below:
A. not (The 1968 Olympics were held in Mexico City.)
B. (((-9 * -1 + -10 * 2) == (-10 * 7 + -9 * 9)) and ((-19 + -15) >= (-14 * -19))) or (The chemical symbol for Aluminum is C.)
C. not not (((3 + 15) < (15 + 9)) and ((2 * -2) != (-3 + -11)))
D. not (((2 * -10 - -3 * 7) <= (-10 * -19)) ... | {
"game_data": {
"answer": "C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 2518529,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. not (The 1968 Olympics were held in Me... |
logic-v2 | Given the following boolean expressions:
A. (not (((35 % 1) < (20 % 5)) and (((14 - 0) > (10 * -17)) or (not not (The chemical symbol for Gold is Au.))))) and (not not (((The square root of 81 is 14.) or ((-18 + 17) >= (18 - 17))) or ((Plants produce oxygen through photosynthesis.) and (The 2020 Olympics were held in ... | {
"game_data": {
"answer": "A,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 45622942,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (not (((35 % 1) < (20 % 5)) and ... |
logic-v2 | Below are several boolean expressions:
A. ((not ((Helium is a gas at room temperature.) and (The chemical symbol for Uranium is Sn.) and ((not ((13 + -7) >= (34 % 2))) or (2047 is a leap year.)))) or ((not (not not (Mercury is the 2nd planet from the Sun.))) and ((3 ** 3) >= (-7 * -9 - -9 * 8)) and ((The chemical symb... | {
"game_data": {
"answer": "A,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 12513649,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. ((not ((Helium is a gas at room ... |
logic-v2 | Consider the following logical expressions:
A. not (((not not ((19 + -2) > (3 + 2))) and (((7 + -19) <= (5 ** 3)) and (not (The chemical symbol for Neon is C.))) and ((The chemical symbol for Zinc is Zn.) and ((2 * 6 * -6 * -6) > (9 * -6 * 10 * 1)))) and (not ((((13 + -3) > (3 * -4 + 8 * 9)) and (((10 * 10 * -1 * -10)... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 60563225,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not (((not not ((19 + -2) > (3 ... |
logic-v2 | Consider the following logical expressions:
A. ((not ((Whales are fish.) or (The capital of Nigeria is Abuja.))) and ((The United States declared independence occurred in 1776.) or (2025 is a leap year.))) or (not (((South Africa is in Europe.) and ((Saturn is the 6th planet from the Sun.) and (Jupiter is the 4th plan... | {
"game_data": {
"answer": "A,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 49336710,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. ((not ((Whales are fish.) o... |
logic-v2 | Study the following logical statements:
A. (19 % 10) >= (3 % 3)
B. (not ((7 % 3) < (0 * 0 - 0 * -3))) and (((19 * 11) == (-4 * 6 + 1 * -2)) and (Mercury is the 1st planet from the Sun.))
C. The chemical symbol for Aluminum is Al.
D. ((2065 is a leap year.) and (The 1980 Olympics were held in Moscow.)) and ((The 1948 O... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 93959285,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (19 % 10) >= (3 % 3)\nB. (not ((7 %... |
logic-v2 | 审视以下逻辑表达式：
A. (((((15 % 10) <= (-6 * 2 * -2 * 3)) or ((-11 + -18) > (-16 + -11))) and (((0 * -15) == (-3 * -8 * -2 * 10)) or ((-14 + 17) <= (4 * -1 + 6 * -6)))) and ((not not (摩洛哥位于大洋洲。)) and ((蛇是鸟类。) or (哥伦比亚的货币是美元。)))) and (((5 ** 1) == (2 + 10)) and ((金星是距离太阳第1近的行星。) or ((20 - 9) != (-6 + -3)))) and ((1980年奥运会在莫斯科举... | {
"game_data": {
"answer": "B,D,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 60401221,
"true_count": 6
},
"question": "审视以下逻辑表达式：\n\nA. (((((15 % 10) <= (-6 * 2 * -2 * 3)) or ((-11 + -18) > (-... |
logic-v2 | Evaluate each expression below:
A. ((not (((762 is a Fibonacci number.) or (South Africa is in Africa.)) or (Egypt is in Africa.))) or (((A horse is a mammal.) or ((-11 * -18) < (-16 - 6) < (16 * 8))) or ((The Great Wall of China was built in one year.) and ((22 % 7) != (-18 - -20)))) or (not not ((not ((5 ** 3) >= (-... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 68765982,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. ((not (((762 is a Fibonacci number.) or (... |
logic-v2 | 给定以下布尔表达式：
A. not (not not (not ((俄罗斯的货币是福林。) and ((汞的化学符号是Co。) and (not ((11 * -7) <= (17 % 2)))))))
B. not not ((((((美国宣布独立发生在1776年。) and (尼日利亚的货币是卢布。)) and ((瑞士的货币是美元。) and (九月有30天。))) and (((鲸鱼是鱼类。) or (锌的化学符号是S。)) or (((-13 - -12) != (-18 * 6)) or (1928年奥运会在赫尔辛基举办。)))) and (((((9 * -19) != (19 % 2)) or (钾的化学符号是Mg... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 42699315,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not (not not (not ((俄罗斯的货币是福林。) and ((汞的化学符号是Co。) and (not ((11 * ... |
logic-v2 | Below are several boolean expressions:
A. (((-2 * 3 - 3 * 1) <= (2 ** 2) <= (-14 * 20)) or ((10 + -6) >= (3 * -1 - 1 * -3))) and ((not (not (The currency of Australia is the Dong.))) and (((41 % 3) != (5 ** 2)) or ((The currency of Czech Republic is the Rupee.) and (The 1976 Olympics were held in Montreal.))))
B. (not... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 62494883,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (((-2 * 3 - 3 * 1) <= (2 ** 2) <= ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (94 is greater than 12.)
B. not ((Spain is in Africa.) and (((15 - -12) != (5 * -4)) or ((10 + 6) >= (-8 + 19))))
C. ((2 % 3) > (6 % 1)) and (not (Helium is a gas at room temperature.)) and (A butterfly is a bird.)
Find all expressions that are True. Answer in \bo... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 75935582,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (94 is greater than 12.)\n... |
logic-v2 | Below are several boolean expressions:
A. ((not not ((The currency of Denmark is the Real.) and (Russia is in South America.))) and (((The chemical symbol for Aluminum is Ne.) or (Sound cannot travel through a vacuum.)) and (not not ((14 - 3) < (5 ** 3))))) or (not not ((-17 - 2) >= (49 % 7)))
B. not (not (((-12 * 15)... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 30879517,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. ((not not ((The currency of Denmark is... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((not ((20 + 19) < (27 % 7))) or (((-14 * 16) >= (5 ** 3)) or ((5 % 6) <= (5 - -1) <= (5 ** 3)))) and (not (not not (The chemical symbol for Tin is K.)))) and (not not (((-7 * 2 - 4 * 6) <= (10 * -4 + 10 * 1)) and (Humans have three lungs.)))
B. not not (((-14 - 0) <=... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 37924692,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((not ((20 + 19) < (27 % 7)... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (((月球自己发光。) or (鲸鱼是鱼类。)) and (汞在常温下是液体。))
B. not ((4 ** 1) < (36 % 2))
C. (秘鲁的首都是利马。) or ((氮的化学符号是N。) or ((-8 * 9 + 10 * -10) == (-3 * 0 + -3 * -2))) or (not ((水蒸气在常温下是液体。) and ((3 * 11) == (3 * 7 + 0 * -10))))
D. (not ((第二次世界大战结束发生在1945年。) or (锡的化学符号是Sn。))) or ((镍的化学符号是Ni。) or (1952年奥运会在阿姆斯特丹举... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 71574969,
"true_count": 6
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (((月球自己发光。) or (鲸鱼是鱼类。)) and (汞在常温下是液体。))\nB. ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not (((40 % 9) > (-7 + 10)) or (The currency of Nigeria is the Naira.))) or ((((16 + 1) > (-10 * 4 + -10 * -6)) and ((0 - -6) == (47 % 8))) or (A beetle is an insect.))
B. (not (((20 + 18) > (5 ** 1)) or ((4 * 10 - -3 * 5) <= (-2 + -13)))) and ((-9 - 17) != (4 ** 1)) ... | {
"game_data": {
"answer": "A,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 17887577,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not (((40 % 9) > (-7 + 10... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (21 % 3) < (1 - -13) < (7 + 19)
B. not (秘鲁位于北美洲。)
C. ((330是完全平方数。) and (第二次世界大战结束发生在1950年。)) or ((1 - -20) <= (1 * -9 - 8 * 7) <= (-9 + -7))
D. not not (地球是距离太阳第3近的行星。)
E. (五月有29天。) or ((新加坡的首都是里斯本。) and (龙虾有10条腿。))
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,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 74680751,
"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. (21 % 3) < (1 - -13) < (7 + 19)\nB. not (秘鲁位于北美洲。)\... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((汞在常温下是气体。) and (水蒸气在常温下是液体。)) or (not (氯的化学符号是U。))
B. (1 ** 1) <= (-9 * -2 * 8 * 5)
C. 第二次世界大战结束发生在1955年。
D. 水在常温下是液体。
E. ((-9 * -9 - 0 * -8) == (-18 + 19)) or ((20 + 19) == (15 % 2))
F. 1928年是闰年。
G. (not not (现代奥运会首届举办发生在1906年。)) and (氧的化学符号是Au。)
H. (not ((16 + -17) == (6 - -14))) and ((美国位于北美洲。... | {
"game_data": {
"answer": "A,B,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 27119188,
"true_count": 5
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((汞在常温下是气体。) and (水蒸气在常温下是液体。)) or (not (氯的化学符号是U。))... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((7 * -19) == (4 * 5 + -10 * 7)) or (钴的化学符号是Co。)) or ((水在常温下是液体。) or (第一次世界大战结束发生在1918年。))) or ((not ((-7 + 7) <= (13 - 19) <= (-9 - 15))) or (((-14 + 18) <= (-1 + -13)) and (三文鱼是鱼类。)))
B. (not (not (油在常温下是固体。))) and (1948年奥运会在慕尼黑举办。)
C. ((not ((-4 - 10) > (20 % 9))) or (((8 % 1) == (-5 - 14)) an... | {
"game_data": {
"answer": "A,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 36611451,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((7 * -19) == (4 * 5 + -10 * 7)) or (钴的化学符号是Co。)) or ((水... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (((加拿大位于北美洲。) and ((7 * 9 - -10 * 2) != (5 + 20))) or ((not (钻石在常温下是固体。)) or (not not ((20 * -2) <= (-10 * -7 - -10 * -6) <= (12 + -8)))))
B. (not (沙特阿拉伯位于亚洲。)) and (((298是完全平方数。) and ((40 % 1) >= (11 * 6))) and (((1 * -11) < (17 * -11)) or (氮气在常温下是固体。))) and (not not ((22 % 4) <= (-5 * 2 +... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 68527897,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (((加拿大位于北美洲。) and ((7 * 9 - -10 * 2) != (5 + 20)))... |
logic-v2 | 审视以下逻辑表达式：
A. (((((电流比光速更快。) and (2000年奥运会在悉尼举办。)) and ((-12 * 2) >= (-6 * 8 + -7 * -7))) or ((not ((7 * 8) != (20 + -6))) or ((光速比声速快。) or (阿根廷的货币是英镑。)))) or (((-10 * -20) <= (-14 * -10) <= (17 - -14)) and ((-10 * 6 * -6 * 8) < (-19 * -17) < (4 ** 1)))) or (not ((((4 - 2) != (-3 * 5)) or (((-10 * -7 + 9 * -7) <= (2 *... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 99217707,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (((((电流比光速更快。) and (2000年奥运会在悉尼举办。)) and ((-12 * 2) >= (-6 * 8 + -... |
logic-v2 | 研究以下逻辑语句：
A. 木星是距离太阳第5近的行星。
B. (火星是距离太阳第4近的行星。) and ((肯尼亚的首都是墨西哥城。) or (瑞典的货币是克朗。))
C. ((印度尼西亚的货币是印尼盾。) and ((4 ** 1) >= (-6 * -2 - 6 * -9))) or (冰的密度比液态水小。)
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,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 35110545,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. 木星是距离太阳第5近的行星。\nB. (火星是距离太阳第4近的行星。) and ((肯尼亚的首都是墨西哥城。) or (瑞典的... |
logic-v2 | Evaluate each expression below:
A. ((not (((-18 - -2) <= (49 % 1)) or ((3 * 10 + -6 * -1) <= (20 % 3) <= (-7 * 20)))) or ((not not ((7 - 9) < (-16 - -9))) and ((Plants produce oxygen through photosynthesis.) or ((-1 * 10 * 9 * -5) >= (4 ** 1))))) and (((The capital of Romania is Bucharest.) and (((0 * -16) == (0 + 16)... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 70820640,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. ((not (((-18 - -2) <= (49 % 1)) or ((3 * 10... |
logic-v2 | Evaluate each expression below:
A. not ((-19 + -12) != (-2 * 17))
B. ((((14 * 6) < (14 * 19)) and ((0 - 7) <= (16 - -6) <= (1 * -3 - 6 * 9))) or (not (Diamond is a solid at room temperature.))) and ((-5 * 4 * 5 * 5) == (5 * 5 + -3 * -3))
C. ((10 % 8) > (0 - 12)) or ((not not (Saudi Arabia is in Asia.)) or (A fish has ... | {
"game_data": {
"answer": "C,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 15993165,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not ((-19 + -12) != (-2 * 17))\nB. ((((14... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((((The chemical symbol for Mercury is Hg.) or (((-10 + 13) < (8 * 3 * -4 * 3)) and ((1 * -9) > (39 % 5)))) and (not not (((-10 * -8 - 3 * 7) > (2 + -18)) or ((5 ** 3) > (-9 - 15))))) or (((-18 - 3) == (10 * -10 * 7 * -4)) and (not not (8... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 46027830,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (not (not ((((1 * 7 + -6 * -9) <= (30 % 5) <= (-4 * 2 - 1 * -6)) or (((8 * -10) <= (4 ** 3)) and ((18 % 9) == (6 * -19)))) or ((-13 - -13) <= (8 % 7) <= (8 + -1)) or ((鲨鱼是哺乳动物。) or (not not (1920年奥运会在安特卫普举办。))))))
B. not ((not ((天王星是距离太阳第5近的行星。) and ((-3 * -10 * 6 * -3) != (1 ** 2)))) or (n... | {
"game_data": {
"answer": "A,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 33826749,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (not (not ((((1 * 7 + -6 * -9) <= (30 % 5) <= ... |
logic-v2 | Evaluate each expression below:
A. (3 * 10 + -10 * -3) > (19 + 16)
B. not (not (The currency of Switzerland is the Franc.))
C. Gold is a solid at room temperature.
D. (The square root of 36 is 6.) and (1910 is a leap year.)
List all options that evaluate to True, separated by commas, in \boxed{}. | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 11746890,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (3 * 10 + -10 * -3) > (19 + 16)\nB. not (... |
logic-v2 | Consider the following logical expressions:
A. (not (((4 + -9) < (1 ** 3)) or (((The capital of Indonesia is Jakarta.) or ((-6 * -1 * 3 * 8) < (-16 * 18) < (3 ** 2))) or (not not (World War I began occurred in 1914.))))) or (((10 * 18) <= (8 * 16)) or (not not ((5 ** 1) <= (6 - 10)))) or ((not not (not (Jupiter is the... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 53383237,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (not (((4 + -9) < (1 ** 3)) or ... |
logic-v2 | 研究以下逻辑语句：
A. ((not ((碳的化学符号是Sn。) or (((尼日利亚的货币是奈拉。) and (地球上一天是24小时。)) and ((-8 * -6 - 0 * 0) != (-20 * -13))))) or (((((40是质数。) or ((17 % 9) == (-8 - 14))) or ((英国位于欧洲。) or (章鱼有8条腿。))) and ((19 * -13) != (-15 * -9))) or (not ((14 % 5) != (-9 * 6 + 0 * -8))))) or (not (not (((越南位于亚洲。) or (氮气在常温下是气体。)) or ((日本位于亚洲。) an... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 51350206,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. ((not ((碳的化学符号是Sn。) or (((尼日利亚的货币是奈拉。) and (地球上一天是24小时。)) and... |
logic-v2 | 分析以下逻辑表达式：
A. (((not not ((((2 ** 2) == (19 * -7)) and ((-16 * -2) >= (-18 - 9))) or (法国的首都是巴黎。))) and (((not not ((4 ** 2) != (-6 - 15))) or (not not (第二次世界大战开始发生在1939年。))) or (德国位于欧洲。))) or ((((((33 % 4) == (6 * 7 + -5 * 0)) and (光速约为每秒30万公里。)) and ((-10 + 15) > (8 * 10 + -2 * 4))) and (((-19 + 18) <= (9 - 19)) and ... | {
"game_data": {
"answer": "A,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 79953465,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. (((not not ((((2 ** 2) == (19 * -7)) and ((-16 * -2) >= (-18... |
logic-v2 | Study the following logical statements:
A. The 1948 Olympics were held in London.
B. (((9 + -1) > (6 * -2 + 7 * 7)) and (South Korea is in Asia.)) or (not not ((5 * -1) != (45 % 3)))
C. The chemical symbol for Zinc is Zn.
D. (-7 * -15) > (2 * 0 - -5 * -6)
E. ((105 is a perfect square.) or ((-1 * -10 + 10 * 8) != (-7 +... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 10699122,
"true_count": 5
},
"question": "Study the following logical statements:\n\nA. The 1948 Olympics were held i... |
logic-v2 | 给定以下布尔表达式：
A. (-9 - -17) <= (44 % 7)
B. ((1 ** 1) == (32 % 5)) and (土星是距离太阳第3近的行星。)
C. 钻石由碳元素组成。
选出所有值为 True 的选项。在 \boxed{} 中以逗号分隔的形式给出答案。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 71925696,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (-9 - -17) <= (44 % 7)\nB. ((1 ** 1) == (32 % 5)) and (土星是距离太阳第3近的... |
logic-v2 | Analyze these boolean expressions:
A. (Christopher Columbus reached America occurred in 1492.) and (((Iron is a solid at room temperature.) or ((16 * -5) <= (-19 + -9) <= (19 - -11))) and (((3 * -9 * 9 * 4) <= (-20 - -19)) and (Jupiter is the 5th planet from the Sun.)))
B. not not ((-19 - -16) >= (7 + -17))
C. ((-7 * ... | {
"game_data": {
"answer": "A,B,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 82569211,
"true_count": 5
},
"question": "Analyze these boolean expressions:\n\nA. (Christopher Columbus reached Amer... |
logic-v2 | Analyze these boolean expressions:
A. not not ((((Earth is the 3rd planet from the Sun.) or (not ((-14 - 8) >= (25 % 10)))) or (There are 28 days in May.)) or (((not not (Thailand is in Asia.)) or (not not (The Pacific Ocean is the largest ocean.))) and ((5 ** 1) != (-4 * 4 - -3 * 0))))
B. ((((4 ** 1) >= (-9 * 7 + 4 *... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 6104295,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not ((((Earth is the 3rd planet from ... |
logic-v2 | Evaluate each expression below:
A. not (Peru is in North America.)
B. not (((The currency of Singapore is the Euro.) and (Mars is the closest planet to the Sun.)) or ((The capital of Mexico is Ottawa.) and ((-2 * -1 + -6 * 2) <= (-4 * -1 + 8 * 8) <= (0 * -18))))
C. (((Whales are fish.) and ((6 * 18) <= (8 * 15))) or (... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 39900893,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not (Peru is in North America.)\nB. not... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((((中国的货币是加元。) or (中国的货币是卢布。)) or (((1 ** 3) == (1 * -14)) or ((-2 + -19) != (12 % 2)))) or (99是质数。) or ((((2 ** 1) == (10 + 0)) or (五月有28天。)) or ((鲨鱼是哺乳动物。) and (2016年是闰年。)))) and (not ((not (145是偶数。)) and (((12 * -11) <= (8 * 2 * 9 * 6) <= (37 % 7)) and (第一次世界大战结束发生在1918年。))))) and (not not... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 27679467,
"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. (((((中国的货币是加元。) or (中国的货币是卢布。)) or (((1 ** 3) == (1 *... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((((水星是距离太阳第3近的行星。) and (海王星是距离太阳第2近的行星。)) and (莱特兄弟首次飞行发生在1903年。)) and (((秘鲁的首都是利马。) and ((-10 + -19) <= (3 ** 2) <= (19 + -7))) and ((美国位于欧洲。) or (2048年是闰年。)))) and (not not (波兰的货币是兹罗提。))) and (((2035年是闰年。) and (((18 - -18) >= (3 + -2)) or (匈牙利的货币是福林。)) and (not (not ((-20 * -7) < (-2 + 15))))) ... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 27539651,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((((水星是距离太阳第3近的行星。) and (海王星是距离太阳第2近的行星。)) and (莱特兄弟首次飞... |
logic-v2 | Analyze these boolean expressions:
A. 57 is divisible by 9.
B. not not (91 is a prime number.)
C. (((10 % 6) >= (-11 * 18)) or (A day on Earth is 24 hours.)) and ((A human has 2 legs.) and (The 1912 Olympics were held in Stockholm.))
Which of these evaluate to True? Provide all true option labels separated by commas ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 46913326,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. 57 is divisible by 9.\nB. not not (91 is a... |
logic-v2 | 研究以下逻辑语句：
A. not not (((2 * -2 - -3 * 0) < (14 * 16)) and ((-6 * 0 - -7 * 5) == (14 + -12)))
B. not not (油在常温下是液体。)
C. (((3 ** 2) <= (5 * 2 - -7 * 6)) and ((1 - 9) < (-10 - 16) < (-5 * 6 - -1 * 5))) or (((-9 * 1 * -10 * 3) > (-8 * -8 - 5 * 1)) and (酒精在常温下是液体。))
D. ((地球是距离太阳第8近的行星。) and ((13 + 4) < (-8 + 11) < (0 - 10)... | {
"game_data": {
"answer": "B,C,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 95089102,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. not not (((2 * -2 - -3 * 0) < (14 * 16)) and ((-6 * 0 - -7 ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (((2 * 6 - -1 * 3) <= (-20 - -16) <= (-13 - 9)) or ((37 % 2) <= (-4 + 3))) and (not ((-5 * -3 + 9 * 1) >= (-2 * 4 * 0 * -3)))
B. not (Light travels faster than sound.)
C. (11 + 15) <= (16 + 4) <= (3 ** 1)
D. (((-4 * 2) != (13 + 3)) or (Th... | {
"game_data": {
"answer": "D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 40853188,
"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 (The 1968 Olympics were held in Mexico City.)) or (not not (A shark is a fish.))
B. ((Gold is a solid at room temperature.) or ((7 * -8 - 7 * -5) >= (-7 * 9))) and (((not not (The first Olympic Games of modern era occurred in 1896.)) or ((2 ** 2) <= (-7 * -16) <= (-19 - -20))... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 38981790,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (not (The 1968 Olympics were held in Mex... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (6 * -19) < (29 % 4)
B. (6 - -9) == (-7 * 4)
C. (光速约为每秒30万公里。) or (菲律宾的货币是日元。)
找出所有为 True 的表达式。在 \boxed{} 中给出答案，用逗号分隔。 | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 25968626,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (6 * -19) < (29 % 4)\nB. (6 - -9) == (-7 * 4)\nC. (光速约为每秒3... |
logic-v2 | Study the following logical statements:
A. (not not (The capital of Spain is Prague.)) and (((13 * 0) <= (5 * 12)) and ((5 ** 1) <= (2 * 12))) and ((not (((13 + 7) != (48 % 10)) or ((12 * -8) < (5 ** 2)))) or (not not ((-19 * 18) <= (-12 - 11))) or ((not (The 2016 Olympics were held in Montreal.)) or (Carbon dioxide i... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 50079337,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (not not (The capital of Spain is Pra... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not (希腊的首都是巴黎。)) or (钾的化学符号是K。)) and (766是斐波那契数。)
B. (氦气在常温下是气体。) or ((not not (海王星是距离太阳第8近的行星。)) or (冰在常温下是固体。))
C. ((1 ** 3) == (16 + -8)) or (((尼日利亚位于非洲。) or ((-2 + -10) < (-4 - 16))) or (((1 ** 1) <= (9 + 8)) and ((-16 - -13) < (31 % 4))))
D. ((-7 + -14) > (15 * -9)) or (not not (((4 + -15) <=... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 68765568,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. ((not not (希腊的首都是巴黎。)) or (钾的化学符号是K。)) and (766是斐波那契数。)\nB. (... |
logic-v2 | 下面是几个布尔表达式：
A. 1948年奥运会在伦敦举办。
B. not not (钻石由碳元素组成。)
C. 水在常温下是固体。
D. ((-5 * 2 - 7 * -9) == (12 * 8)) or ((捷克的货币是克朗。) and ((1 ** 1) <= (-4 - 12) <= (-8 * 20)))
E. (7 * -9 + 6 * -7) <= (-6 - -18)
F. (天王星是距离太阳第6近的行星。) or ((3 ** 2) == (-6 * -9))
G. (-3 * -10) > (4 ** 1)
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": "A,B,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 546760,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. 1948年奥运会在伦敦举办。\nB. not not (钻石由碳元素组成。)\nC. 水在常温下是固体。\nD. ((-5... |
logic-v2 | 下面是几个布尔表达式：
A. (not not ((7 * -8) >= (-8 * 0))) or (((-1 + -10) >= (19 - 18)) and (氦气在常温下是气体。))
B. ((88是质数。) or ((13 * -1) == (1 ** 2))) and (not not (墨西哥位于大洋洲。))
C. 火星是距离太阳第5近的行星。
D. (-1 * 17) <= (3 ** 2)
E. not not (((9 * -8 - 9 * 2) == (5 * 3)) or ((-9 * -10 + -2 * -10) <= (-8 + 9)))
F. not ((-2 - -12) < (5 + 16))
... | {
"game_data": {
"answer": "D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 28808947,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (not not ((7 * -8) >= (-8 * 0))) or (((-1 + -10) >= (19 - 18)) ... |
logic-v2 | 给定以下布尔表达式：
A. (not ((澳大利亚的货币是澳元。) and (not (((18 + 0) != (-11 - 2)) or (葡萄牙的首都是里斯本。))))) and ((not not ((摩洛哥的首都是布加勒斯特。) and ((9 * 2) > (-18 - 2)))) and (1988年是闰年。)) and (not ((((金星是距离太阳第8近的行星。) or ((5 + -13) == (3 * -10))) and (((-19 * -1) > (1 ** 1)) and ((13 + 20) > (-17 + -14)))) or ((((-4 + -19) < (14 + -19) < (6 ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 247011,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not ((澳大利亚的货币是澳元。) and (not (((18 + 0) != (-11 - 2)) or (葡萄牙的首都是里斯本... |
logic-v2 | 研究以下逻辑语句：
A. (not not (not ((-19 * -12) < (2 * -6 + -10 * -7)))) or (not ((not not ((7 - 5) <= (-7 - 16))) and (日本位于亚洲。))) or ((((1920年奥运会在安特卫普举办。) and (not ((-8 + 7) <= (16 * 5) <= (28 % 10)))) and (((3 * 7 - -3 * -4) >= (-13 - 2)) or ((1 ** 3) < (4 ** 3))) and (not (((-11 * 14) < (-6 + -10) < (-7 - 3)) and ((5 ** 2)... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 52501391,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (not not (not ((-19 * -12) < (2 * -6 + -10 * -7)))) or (not ((n... |
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