env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Study the following logical statements:
A. (((5 ** 1) > (8 + 16)) or (not not ((-17 + -9) >= (-3 - -6)))) and (not not ((not (Mars is the 4th planet from the Sun.)) and ((2 * -15) > (6 * -7))))
B. not not ((Uranus is the 7th planet from the Sun.) or (not not ((5 + -13) > (6 * 7 - 3 * -9))) or ((((14 + -15) == (12 - 5)... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 8785284,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (((5 ** 1) > (8 + 16)) or (not not ((-... |
logic-v2 | Below are several boolean expressions:
A. not ((0 - 17) <= (-6 * 10 - 9 * 9))
B. not (((134 is an odd number.) or (A snake is a reptile.)) and (Helium is a gas at room temperature.))
C. ((6 * -3 - 6 * -9) < (-16 - 0) < (2 ** 2)) or (((4 * 2 + -9 * -1) == (17 * -10)) and (Saturn is the 3rd planet from the Sun.)) or (Th... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 4318604,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not ((0 - 17) <= (-6 * 10 - 9 * 9))\n... |
logic-v2 | 给定以下布尔表达式：
A. (((((33 % 6) < (-16 + -2)) or (铅的化学符号是Co。)) and (十二月有31天。)) and (八月有30天。) and (((15 - 2) == (9 + 10)) and ((二氧化碳在常温下是气体。) or (酒精在常温下是液体。)))) and (((48 % 7) <= (-11 - -15)) and (not not ((-9 * -1 - 9 * -9) <= (-13 * -3))))
B. not not (not ((2 ** 3) < (2 * -6 * -3 * -7)))
C. not not ((not (((19 % 6) == (-1... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 80202594,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (((((33 % 6) < (-16 + -2)) or (铅的化学符号是Co。)) and (十二月有31天。)) and ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not ((-11 * -10) == (-5 * 17))) and ((4 * 8) > (3 * 13))
B. not not (((10 * -4 + -2 * 9) >= (-19 - 11)) or (400 is a Fibonacci number.))
C. (Wood is a solid at room temperature.) or ((The capital of India is Dublin.) or (There are 29 day... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 71628133,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 分析以下逻辑表达式：
A. not not (not not ((-1 + -20) < (10 - -7)))
B. (蜘蛛是昆虫。) or ((-2 * -8 + 9 * 3) == (50 % 7))
C. not not ((20 * 1) < (4 * -4 + -6 * 4) < (2 ** 2))
D. ((1 ** 3) != (10 * -6 - -6 * -6)) or (not not ((-13 + 19) != (-4 * 1 + -7 * -3)))
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 86380899,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not (not not ((-1 + -20) < (10 - -7)))\nB. (蜘蛛是昆虫。) or ((-2 ... |
logic-v2 | 考虑以下布尔表达式：
A. ((not (not (1938年是闰年。))) and (((-8 * -6) <= (12 + -11) <= (32 % 6)) or (蜘蛛是昆虫。)) and ((not ((3 * 4 + -10 * 2) <= (18 + -19))) or ((土星是距离太阳第6近的行星。) and (1980年是闰年。)))) and (not (not (not (油在常温下是液体。))))
B. ((((1920年奥运会在安特卫普举办。) or ((4 ** 1) < (-10 * -8 - 4 * 2))) and (200是奇数。)) and (not not ((氢的化学符号是Fe。) or... | {
"game_data": {
"answer": "C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 10799750,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((not (not (1938年是闰年。))) and (((-8 * -6) <= (12 + -11) <= (32 ... |
logic-v2 | Examine these expressions:
A. (1 * 7 + -6 * -4) >= (-15 + 7)
B. not (not ((0 + -13) == (-10 * -5 - 4 * -1)))
C. The 1948 Olympics were held in London.
Which ones are true? List the labels of all true options in \boxed{}, separated by commas. | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 59554101,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (1 * 7 + -6 * -4) >= (-15 + 7)\nB. not (not ((0 ... |
logic-v2 | Examine these expressions:
A. not ((43 % 2) == (36 % 5))
B. (-15 * 10) <= (-3 * -11)
C. ((The Earth revolves around the Sun.) and ((3 ** 3) != (-5 - 13))) and ((United Kingdom is in Europe.) or ((-16 + 3) >= (14 % 9)))
D. not not ((A horse has 8 legs.) and (There are 31 days in January.))
E. (not ((-4 + -2) <= (-5 * 6... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 15348846,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not ((43 % 2) == (36 % 5))\nB. (-15 * 10) <= (... |
logic-v2 | 研究以下逻辑语句：
A. ((not not (((31 % 9) <= (20 - 8)) or ((9 * -3 + 9 * -7) != (-19 + 19)))) or ((((-19 + -18) == (-16 * -6)) and (土星是距离太阳第6近的行星。)) or (((0 * 12) < (-6 - 3)) or ((0 * -10) < (2 ** 2))))) or ((((74是质数。) and ((8 - 8) > (-17 * -8))) and ((尼日利亚位于非洲。) and ((6 % 1) < (-15 + 12) < (-19 - -15)))) or (not not ((3 + -1... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 25492294,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. ((not not (((31 % 9) <= (20 - 8)) or ((9 * -3 + 9 * -7) != (-19 + 1... |
logic-v2 | 给定以下布尔表达式：
A. not (not (冰在常温下是固体。))
B. ((not not (蛇是爬行动物。)) and (氦气在常温下是固体。)) or (((0 * 8 - 5 * 2) == (-4 * 13)) and ((not not (1954年是闰年。)) and ((-9 * 6) > (19 * 8))))
C. (((水在海平面上的沸点是100摄氏度。) and ((声音在真空中传播更快。) and ((4 ** 2) >= (17 % 3)))) or (not (((-19 + 19) != (16 * -12)) and ((-17 + 1) < (18 * -7) < (26 % 8))))) ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 43369340,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not (not (冰在常温下是固体。))\nB. ((not not (蛇是爬行动物。)) and (氦气在常温下是固体。)) o... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (-2 * -8 - 7 * -2) >= (-8 * 9 + -5 * 6)
B. ((11 - -18) <= (-6 * 4 * -8 * 3)) or (((-6 - 12) > (2 * -12)) and ((4 - 7) == (5 ** 3)))
C. (Mercury is a liquid at room temperature.) or ((3 * 7 * 7 * 7) != (-6 * -2 - -7 * -10))
D. Morocco is in Africa.
E. not ((The chemical... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 89769974,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (-2 * -8 - 7 * -2) >= ... |
logic-v2 | 审视以下逻辑表达式：
A. not not (not (((-1 * 7 * -3 * 9) < (0 * -5 * 9 * -3)) and ((西班牙位于欧洲。) or ((-9 * 2) <= (15 * -1)))))
B. (((not not (德国位于南极洲。)) and (阿根廷位于南美洲。)) and (not not (菲律宾的货币是埃及镑。)) and ((((1 - 13) <= (16 + -2) <= (-5 * -9 - 4 * -4)) or ((-19 + -16) <= (-10 - 2) <= (15 * -16))) or ((美国宣布独立发生在1775年。) or (俄罗斯的货币是卢布。)... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 35639682,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not not (not (((-1 * 7 * -3 * 9) < (0 * -5 * 9 * -3)) and ((西班牙位... |
logic-v2 | 研究以下逻辑语句：
A. not not ((((-2 * 4 - -4 * -3) <= (8 * -7 * -6 * -9)) or ((5 * 5 * -9 * -9) > (12 % 1))) and (((-12 * -4) >= (4 * 6 - 4 * 10)) and ((17 - -13) == (-3 * -2 + 4 * -6))))
B. not (not not ((氖的化学符号是Ne。) and ((5 ** 1) <= (27 % 1))))
C. (((1956年奥运会在墨尔本举办。) or (2047年是闰年。)) and (not ((9 * -11) < (-2 + 8)))) or (200... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 8509032,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not not ((((-2 * 4 - -4 * -3) <= (8 * -7 * -6 * -9)) or ((5 * 5 * -9... |
logic-v2 | 考虑以下布尔表达式：
A. ((not not (not not (not (575是斐波那契数。)))) and (((10 * 8 * -5 * -10) == (46 % 3)) or ((哥伦比亚的货币是比索。) and (2020年奥运会在东京举办。)) or ((火星是距离太阳第4近的行星。) or ((铬的化学符号是Cr。) and ((0 * -20) > (16 * 14)))))) and (((not ((中国的货币是人民币。) or ((26 % 9) != (7 - 8)))) and (水在常温下是液体。)) and ((((芬兰的首都是赫尔辛基。) and ((31 % 5) < (-6 - -19)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 10477262,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. ((not not (not not (not (575是斐波那契数。)))) and (((10 * 8 * -5 * -10) ... |
logic-v2 | 检验这些表达式：
A. (((44 % 8) < (6 * -16)) or ((-15 + 12) > (2 ** 2))) and ((氮的化学符号是He。) and (乌克兰的首都是基辅。))
B. (((8 * -3 + -4 * 3) <= (-10 * -3 - -4 * 9)) and (天王星是距离太阳第3近的行星。)) and ((水星是距离太阳第8近的行星。) or (海王星是距离太阳第5近的行星。))
C. (not not (水星是距离太阳第8近的行星。)) or (not not ((9 - 10) > (-18 * 19)))
D. not not (油在常温下是固体。)
E. ((2 * -7 + 1... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 36157589,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (((44 % 8) < (6 * -16)) or ((-15 + 12) > (2 ** 2))) and ((氮的化学符号是H... |
logic-v2 | Given the following boolean expressions:
A. not not ((((-20 + 13) <= (2 * 4 * 5 * 6) <= (-1 + -4)) and (There are 31 days in August.)) and (World War I began occurred in 1914.))
B. (not not (not not ((41 % 5) > (-7 * 1)))) or ((22 % 4) <= (3 ** 1) <= (47 % 3)) or (861 is a Fibonacci number.)
C. ((((-4 + -1) <= (14 + 4... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 12415373,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not not ((((-20 + 13) <= (2 * 4 * ... |
logic-v2 | 审视以下逻辑表达式：
A. not ((((15 * -7) < (1 ** 1)) and (氦气在常温下是气体。)) and ((蜘蛛有0条腿。) or ((2 ** 2) > (2 - 17))))
B. ((not ((19 - 2) <= (-13 - 5) <= (4 * 4 + -2 * -10))) or (伦敦大火发生在1666年。)) or ((蜘蛛有8条腿。) and ((-1 - 8) == (45 % 4))) or ((not not ((10 * -4 + -9 * 8) != (3 * -5 * 10 * 3))) or ((13是奇数。) and ((5 ** 3) <= (36 % 6))))
... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 99623045,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not ((((15 * -7) < (1 ** 1)) and (氦气在常温下是气体。)) and ((蜘蛛有0条腿。) or... |
logic-v2 | Review these logical expressions:
A. (not not ((not not ((-2 - 1) < (5 * -5 + -9 * -8))) or ((13 - -4) >= (0 * 12)))) or ((not (The first airplane flight by the Wright Brothers occurred in 1903.)) or (((0 - -4) <= (-7 + 11)) or (The currency of European Union is the Euro.))) or (not ((Mercury is a liquid at room tempe... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 74905104,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not not ((not not ((-2 - 1) < (5 * -5 + ... |
logic-v2 | 评估以下每个表达式：
A. 南极洲是最冷的大陆。
B. ((12 - -5) <= (2 ** 2)) and ((not not ((16 - -17) != (1 ** 2))) and (韩国的首都是首尔。))
C. (((钠的化学符号是Na。) and ((4 ** 2) >= (-1 + -12))) or (((-4 - -16) > (4 * 0 * 3 * 1)) or ((12 * 3) < (7 % 1)))) and ((日本位于欧洲。) and (73能被3整除。)) and (((-2 * -2 - 9 * 4) != (-4 + -5)) and (((4 ** 1) != (-9 - -19)) an... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 33151108,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. 南极洲是最冷的大陆。\nB. ((12 - -5) <= (2 ** 2)) and ((not not ((16 - -17) !... |
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