env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
logic-v2 | 定义 ▽，规则如下：
实数域上，x ▽ y = y - y + y * x + y。
运算优先级：▽ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 + 5 - 2 ▽ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 + 5 - 2 ▽ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | 定义 ☆，规则如下：
当x和y的和是奇数时，x ☆ y = x * y + 2 * x * y；
其他情况下，x ☆ y = (x + y * y - y)。
和 □，规则如下：
当y是奇数时，x □ y = (y + y - x ☆ x) + 1；
其他情况下，x □ y = x - x ☆ y + x + 3。
运算优先级：** = □ > * = / = % = ☆ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 □ 2 ☆ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "51",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 □ 2 ☆ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ⊙, the rules are as follows:
when y is a multiple of 3, x ⊙ y = (x * x * y + x) - y;
otherwise, x ⊙ y = (x * y) + y.
and ○, the rules are as follows:
on the real number field, x ○ y = y - (y + x) - x.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = x ⊙ y.
The precedence of operations: ... | {
"game_data": {
"answer": "16086",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊕ 9 ○ 9 ⊙ 7 ○ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = y + x - y.
and ☆, the rules are as follows:
when the sum of x and y is even, x ☆ y = x ⊕ y;
otherwise, x ☆ y = x / y * x.
and ◎, the rules are as follows:
when x is odd, x ◎ y = x - abs(x / y);
otherwise, x ◎ y = x ** x ⊕ y.
The precedence ... | {
"game_data": {
"answer": "12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ☆ 3 ⊕ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = x / (y)。
和 ◎，规则如下：
当x大于y时，x ◎ y = y + x；
其他情况下，x ◎ y = y □ x。
运算优先级：◎ > ** = □ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 □ 8 ◎ 2 + 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 □ 8 ◎ 2 + 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = y + 2 + 2 + x / y。
和 ♢，规则如下：
实数域上，x ♢ y = x + (y * y * y ⊕ y)。
运算优先级：♢ > ** > * = / = % > + = - = ⊕。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ♢ 2 - 3 ⊕ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "14.888889",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♢ 2 - 3 ⊕ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ♡，规则如下：
当y是3的倍数时，x ♡ y = abs(4 * x / 5 + 4 - y)；
其他情况下，x ♡ y = (x / x - x * 5) / y。
和 □，规则如下：
当x是5的倍数时，x □ y = (2 ♡ y + x - y * 4)；
其他情况下，x □ y = y / 4 - x - 1。
运算优先级：♡ > ** > * = / = % = □ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 □ 7 % 1 % 6 ♡ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 □ 7 % 1 % 6 ♡ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = abs(x - x) - y。
和 △，规则如下：
实数域上，x △ y = x ⊕ y。
和 ◎，规则如下：
实数域上，x ◎ y = y ** x - 4 + 1。
运算优先级：◎ > ** = △ > * = / = % = ⊕ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 / 6 △ 9 / 7 ◎ 6 ⊕ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 / 6 △ 9 / 7 ◎ 6 ⊕ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ⊗，规则如下：
当x和y的和是偶数时，x ⊗ y = y + x * (4) + 2；
其他情况下，x ⊗ y = y + y - x + x * y。
和 □，规则如下：
实数域上，x □ y = x * 1 * y + 3。
和 ♡，规则如下：
当x和y都是偶数时，x ♡ y = x ⊗ y - 3 - 1；
其他情况下，x ♡ y = abs(x + y + y) + x。
运算优先级：** = ⊗ = □ > * = / = % > + = - = ♡。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 ♡ 8 ⊗ 9 □ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1656",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♡ 8 ⊗ 9 □ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | Define ⊙, the rules are as follows:
when x is equal to y, x ⊙ y = y * x - 4;
otherwise, x ⊙ y = x + y + y.
and □, the rules are as follows:
on the real number field, x □ y = x * y ⊙ y.
and ▽, the rules are as follows:
when x is equal to y, x ▽ y = x + x - y;
otherwise, x ▽ y = x * y - x.
The precedence of ope... | {
"game_data": {
"answer": "93",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ▽ 9 - 7 ⊙ 8 % 4 □ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ♡，规则如下：
当y是5的倍数时，x ♡ y = y - y + y ** x；
其他情况下，x ♡ y = x - x + abs(y)。
和 ◇，规则如下：
实数域上，x ◇ y = y ♡ x。
运算优先级：** = ♡ > * = / = % = ◇ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ◇ 9 ♡ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◇ 9 ♡ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = x + y - x。
运算优先级：** > * = / = % = ◇ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = (y + x).
and ♡, the rules are as follows:
when the sum of x and y is odd, x ♡ y = y ⊙ (x) - x - 1;
otherwise, x ♡ y = y - x - y ⊙ y - x.
and □, the rules are as follows:
when x is less than y, x □ y = x + (y * x) - y;
otherwise, x □ y = 4 ♡... | {
"game_data": {
"answer": "41",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 7 □ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ⊕，规则如下：
当y是偶数时，x ⊕ y = 2 / y / x - 3 + x；
其他情况下，x ⊕ y = x ** x + y。
和 ◎，规则如下：
实数域上，x ◎ y = x / (y - x) * y ⊕ x。
和 ⊙，规则如下：
实数域上，x ⊙ y = y * abs(x - x - y) + y。
运算优先级：⊕ > ** > * = / = % > + = - = ◎ = ⊙。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 ⊕ 2 ⊙ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "90",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 2 ⊙ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ○，规则如下：
当x和y的和是奇数时，x ○ y = 2 - y + x - x；
其他情况下，x ○ y = x / 4 + x + 3 ** y。
运算优先级：** = ○ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 ** 2 % 2 ○ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "49",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ** 2 % 2 ○ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ▽，规则如下：
当x是奇数时，x ▽ y = y - x * (y)；
其他情况下，x ▽ y = abs(x) + y。
运算优先级：▽ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ▽ 2 ▽ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ▽ 2 ▽ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ▽, the rules are as follows:
when y is odd, x ▽ y = 1 - (x + y) + x;
otherwise, x ▽ y = y - y - x - y.
The precedence of operations: ** > * = / = % = ▽ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: ... | {
"game_data": {
"answer": "-216",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 % 5 ▽ 6 ** 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = y * (y) * x - y - y.
and ◇, the rules are as follows:
on the real number field, x ◇ y = (y - x) + 1 * x.
and ☆, the rules are as follows:
when y is even, x ☆ y = 3 + y - x + y + y;
otherwise, x ☆ y = y - 2 / x ⊗ 4.
The precedence of operation... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 + 10 ⊗ 8 ☆ 9 ◇ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | 定义 ♢，规则如下：
当x是3的倍数时，x ♢ y = x - x / y；
其他情况下，x ♢ y = x + 4 - y ** abs(2)。
和 ◎，规则如下：
实数域上，x ◎ y = y - y ♢ x - x + y。
和 ⊗，规则如下：
实数域上，x ⊗ y = y - x + y ♢ y + x。
运算优先级：♢ > ** = ◎ = ⊗ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ⊗ 6 ♢ 9 ◎ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "202.604938",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊗ 6 ♢ 9 ◎ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = y * y - x.
and ⊕, the rules are as follows:
when y is a multiple of 5, x ⊕ y = abs(x * 2) + y;
otherwise, x ⊕ y = x - x ** (y) * x.
The precedence of operations: ** > * = / = % > + = - = ◎ = ⊕。
Parentheses have the highest priority, and the exp... | {
"game_data": {
"answer": "37.588457",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 3 / 2 ◎ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | 定义 ♢，规则如下：
当x等于y时，x ♢ y = 2 + x * y；
其他情况下，x ♢ y = x * x - y。
和 ♡，规则如下：
当x是3的倍数时，x ♡ y = x + y + y；
其他情况下，x ♡ y = (x / x) * y。
和 ◎，规则如下：
实数域上，x ◎ y = x ♢ y * x。
运算优先级：** = ♢ = ♡ > * = / = % > + = - = ◎。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ♡ 5 ◎ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "100",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♡ 5 ◎ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = x / 5 * 3 / x - (y).
and ☆, the rules are as follows:
when x is less than y, x ☆ y = y - (x - y - y) - y;
otherwise, x ☆ y = x + x / y + y - y.
The precedence of operations: ♡ > ** > * = / = % = ☆ > + = -。
Parentheses have the highest priority,... | {
"game_data": {
"answer": "-8.633333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 8 ☆ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = y + x / 3.
and ▽, the rules are as follows:
when x is a multiple of 5, x ▽ y = y * y - x;
otherwise, x ▽ y = y * (x + x).
and ◇, the rules are as follows:
on the real number field, x ◇ y = x * y + y.
The precedence of operations: ▽ > ** = ⊙ >... | {
"game_data": {
"answer": "14.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊙ 6 ▽ 1 ◇ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = y * 4 * x + 4 ** x。
运算优先级：** > * = / = % > + = - = ◇。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ♢，规则如下：
当x和y的和是奇数时，x ♢ y = y + x * y + y；
其他情况下，x ♢ y = x + x / y + x。
和 ⊕，规则如下：
实数域上，x ⊕ y = x * y。
和 ◇，规则如下：
实数域上，x ◇ y = x * x + y。
运算优先级：♢ > ** > * = / = % = ⊕ = ◇ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 ◇ 7 % 9 ♢ 3 ⊕ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "44",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◇ 7 % 9 ♢ 3 ⊕ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | 定义 ♡，规则如下：
当x大于y时，x ♡ y = y / x - 2；
其他情况下，x ♡ y = y - y - x。
和 ⊗，规则如下：
实数域上，x ⊗ y = abs(x) - x - y。
运算优先级：♡ > ** > * = / = % > + = - = ⊗。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ♡ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♡ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = x - y * y。
和 △，规则如下：
实数域上，x △ y = x + y * x。
运算优先级：** = □ > * = / = % > + = - = △。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 □ 6 △ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-52",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 □ 6 △ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = y - y - x.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y ◎ x * y.
The precedence of operations: ◎ > ** > * = / = % > + = - = ▽。
Parentheses have the highest priority, and the expression inside the parentheses is calculated ... | {
"game_data": {
"answer": "-9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◎ 2 ▽ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ◇, the rules are as follows:
when y is odd, x ◇ y = y - y - x;
otherwise, x ◇ y = x + (y - y).
The precedence of operations: ◇ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 9 ◇ 3
Pl... | {
"game_data": {
"answer": "-9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = y + x。
和 ⊗，规则如下：
实数域上，x ⊗ y = x * y ♢ x。
和 ▽，规则如下：
当y是5的倍数时，x ▽ y = x ♢ x - y；
其他情况下，x ▽ y = x ♢ y * x。
运算优先级：⊗ > ** = ♢ = ▽ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 ♢ 7 ⊗ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "112",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♢ 7 ⊗ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 □，规则如下：
当x是偶数时，x □ y = y * x - x；
其他情况下，x □ y = x + 4 ** y - x。
和 △，规则如下：
实数域上，x △ y = 4 + y ** x + x。
运算优先级：△ > ** = □ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 △ 6 □ 7 * 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1260",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 △ 6 □ 7 * 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define ○, the rules are as follows:
on the real number field, x ○ y = x + abs(x + y).
The precedence of operations: ** = ○ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 3
Please fill your final a... | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = y * x * x.
and ♡, the rules are as follows:
on the real number field, x ♡ y = y / x - x ⊙ y / x.
and ◇, the rules are as follows:
when x is a multiple of 5, x ◇ y = y ♡ y + x + y + y;
otherwise, x ◇ y = x + x * y * x ♡ 5.
The precedence of op... | {
"game_data": {
"answer": "-937",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◇ 1 ⊙ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = x - x + y + y。
和 ☆，规则如下：
实数域上，x ☆ y = x / y - 1 + 3。
运算优先级：□ > ** = ☆ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 + 8 □ 9 ☆ 9 ☆ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 + 8 □ 9 ☆ 9 ☆ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = (5 + y / 5 - y) * x.
and ♢, the rules are as follows:
on the real number field, x ♢ y = 1 * x + x + y.
The precedence of operations: ♡ = ♢ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses ... | {
"game_data": {
"answer": "0.142857",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♡ 6 / 2 ♢ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | Define ⊕, the rules are as follows:
when x is greater than y, x ⊕ y = x + x * y * 4;
otherwise, x ⊕ y = y / x.
and ◎, the rules are as follows:
on the real number field, x ◎ y = x + 2 * y.
and ⊙, the rules are as follows:
when x is less than y, x ⊙ y = y ⊕ x + x - x;
otherwise, x ⊙ y = y ** 1 ◎ y - x.
The pre... | {
"game_data": {
"answer": "360",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊙ 4 ◎ 10 ⊕ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ◇，规则如下：
当x大于y时，x ◇ y = (1 + y * x ** 1) * y；
其他情况下，x ◇ y = y / 2 * x * x。
运算优先级：◇ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = 5 * 1 - x / y。
和 ⊕，规则如下：
实数域上，x ⊕ y = abs(x + y) + x - y。
和 ☆，规则如下：
实数域上，x ☆ y = y - y ⊕ x - y * x。
运算优先级：** = ⊕ > * = / = % = ⊙ > + = - = ☆。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 / 2 * 1 ⊕ 7 ⊙ 7 ☆ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-40",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 / 2 * 1 ⊕ 7 ⊙ 7 ☆ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = abs(x) - y + y。
和 △，规则如下：
当y是奇数时，x △ y = x + 2 * x ◇ y；
其他情况下，x △ y = (x / y)。
运算优先级：△ > ** > * = / = % = ◇ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 △ 4 ◇ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 △ 4 ◇ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ◇，规则如下：
当x和y的和是偶数时，x ◇ y = y + y + x - x；
其他情况下，x ◇ y = (y + y / x) / y。
运算优先级：** > * = / = % > + = - = ◇。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = y + x + y - x.
and □, the rules are as follows:
when x is less than y, x □ y = (y * x) + x;
otherwise, x □ y = y - y * x * x ⊕ x.
and ▽, the rules are as follows:
on the real number field, x ▽ y = x ** x - y + x □ y.
The precedence of operati... | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 □ 10 ▽ 2 ⊕ 7 ⊕ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 ◇，规则如下：
当x是偶数时，x ◇ y = (1 - y) * x ** y；
其他情况下，x ◇ y = y ** x + y。
运算优先级：◇ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": nu... |
logic-v2 | Define ♡, the rules are as follows:
when the sum of x and y is odd, x ♡ y = (x + y + y) - x;
otherwise, x ♡ y = 3 / y + 1 + x * 2.
and ⊙, the rules are as follows:
when x is less than y, x ⊙ y = y + (x);
otherwise, x ⊙ y = y * x ♡ x - x - x.
and △, the rules are as follows:
when x is less than y, x △ y = 4 + ... | {
"game_data": {
"answer": "166",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊙ 7 △ 2 ♡ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = (x + y * x * y + x).
The precedence of operations: ▽ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 10 + 9 ▽ 5
Please fil... | {
"game_data": {
"answer": "253",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 + 9 ▽ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = x * x + y + 1。
和 ☆，规则如下：
实数域上，x ☆ y = x + y * y。
和 △，规则如下：
当x小于y时，x △ y = y / x * y * 4；
其他情况下，x △ y = x - 2 ⊙ y + x。
运算优先级：☆ > ** = △ > * = / = % = ⊙ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 △ 4 ⊙ 6 ☆ 2 ⊙ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "151",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 △ 4 ⊙ 6 ☆ 2 ⊙ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | Define ○, the rules are as follows:
when x is a multiple of 3, x ○ y = y * x - 3;
otherwise, x ○ y = x + y * 2.
The precedence of operations: ** > * = / = % = ○ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression... | {
"game_data": {
"answer": "39",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ○ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ▽，规则如下：
实数域上，x ▽ y = x + y + x。
运算优先级：▽ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ♢, the rules are as follows:
when y is odd, x ♢ y = 4 + y - x - x;
otherwise, x ♢ y = 5 * y + y * x.
and □, the rules are as follows:
when x is a multiple of 5, x □ y = y + x * y;
otherwise, x □ y = x / y ♢ y.
and ☆, the rules are as follows:
when x is a multiple of 3, x ☆ y = x * y * 3;
otherwise, x ☆... | {
"game_data": {
"answer": "74",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ☆ 4 ♢ 2 □ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = 2 / x - x - x * y。
和 ○，规则如下：
实数域上，x ○ y = y + x - y - 5 * x。
运算优先级：□ > ○ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 □ 10 ○ 9 ○ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-336",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 □ 10 ○ 9 ○ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | Define ♡, the rules are as follows:
when x and y are both odd, x ♡ y = y / y ** y * x - y;
otherwise, x ♡ y = 2 + y + y - y * x.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = x - y ♡ y * y.
The precedence of operations: ♡ > ** > * = / = % > + = - = ⊕。
Parentheses have the highest priority, an... | {
"game_data": {
"answer": "-4.9856",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ♡ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = y * x * y + 3.
and ◎, the rules are as follows:
on the real number field, x ◎ y = 1 + y + x + x.
and ○, the rules are as follows:
when x is less than y, x ○ y = y - 3 - y / x;
otherwise, x ○ y = y - 2 - 5 + x.
The precedence of operations: ○ ... | {
"game_data": {
"answer": "41503",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ○ 10 ♢ 10 ◎ 8 ♢ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = x * x - (y)。
和 ♢，规则如下：
当x和y都是奇数时，x ♢ y = y - x - y；
其他情况下，x ♢ y = x * y + x。
和 ⊙，规则如下：
实数域上，x ⊙ y = y + x ♢ y。
运算优先级：⊙ > ⊗ = ♢ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ⊙ 5 ⊗ 9 ♢ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "14000",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊙ 5 ⊗ 9 ♢ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | 定义 ♡，规则如下：
当x和y的和是奇数时，x ♡ y = (y * x ** x * y)；
其他情况下，x ♡ y = y * y + x。
和 ◇，规则如下：
实数域上，x ◇ y = abs(2 * y) * 5 * x。
运算优先级：◇ > ** > * = / = % = ♡ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ♡ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ⊙，规则如下：
当x大于y时，x ⊙ y = y / x + x；
其他情况下，x ⊙ y = x - x * y + x。
和 ◇，规则如下：
实数域上，x ◇ y = y + y * x / y。
和 ○，规则如下：
实数域上，x ○ y = x + x ⊙ x * y。
运算优先级：○ > ** = ⊙ > * = / = % > + = - = ◇。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ○ 1 ⊙ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ○ 1 ⊙ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = 2 - y - (x) * 1.
and □, the rules are as follows:
when x is a multiple of 5, x □ y = x ◎ (x / y) + y;
otherwise, x □ y = (x ◎ y - y).
The precedence of operations: ◎ = □ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the e... | {
"game_data": {
"answer": "2e-06",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◎ 2 ** 2 □ 4 / 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define ⊙, the rules are as follows:
when x is equal to y, x ⊙ y = y - y - 3 + x;
otherwise, x ⊙ y = y + x - y.
and ○, the rules are as follows:
when x and y are both odd, x ○ y = x + x * y * y;
otherwise, x ○ y = x + y ⊙ y.
and ◇, the rules are as follows:
when x is a multiple of 3, x ◇ y = y ** x * y * y;
ot... | {
"game_data": {
"answer": "180",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ◇ 9 ○ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
logic-v2 | Define ♡, the rules are as follows:
when the sum of x and y is odd, x ♡ y = x ** y - y / y;
otherwise, x ♡ y = 5 + y * 2 + x.
and ⊗, the rules are as follows:
when x is even, x ⊗ y = y * y + x ♡ 3;
otherwise, x ⊗ y = y ♡ (y - y - x).
The precedence of operations: ** > * = / = % = ♡ = ⊗ > + = -。
Parentheses have... | {
"game_data": {
"answer": "-111",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊗ 3 ⊗ 7 ♡ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = y / x.
and ☆, the rules are as follows:
on the real number field, x ☆ y = abs(x) * y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = y + x + y.
The precedence of operations: ♢ > ◎ > ** > * = / = % > + = - = ☆。
Parentheses ha... | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♢ 4 ☆ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = x / y * (y) + y - y.
The precedence of operations: ◇ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 2 ◇ 9
Please fill you... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": ... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = x / y + 5.
The precedence of operations: ** = ◇ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 10 % 4 ◇ 6 ** 4
Please fill you... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 % 4 ◇ 6 ** 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define △, the rules are as follows:
when x is less than y, x △ y = x + y;
otherwise, x △ y = x - abs(x) ** y / x.
The precedence of operations: ** = △ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expressi... | {
"game_data": {
"answer": "-13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 % 5 - 7 △ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ⊕, the rules are as follows:
when x is greater than y, x ⊕ y = x - y + y;
otherwise, x ⊕ y = x + abs(y).
and ⊗, the rules are as follows:
when x and y are both odd, x ⊗ y = (x / 5) ⊕ y;
otherwise, x ⊗ y = (x - y) + y.
and ⊙, the rules are as follows:
when x is even, x ⊙ y = (y / x);
otherwise, x ⊙ y = ... | {
"game_data": {
"answer": "50.4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊗ 7 ⊙ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | Define ▽, the rules are as follows:
when x is even, x ▽ y = y + (y) * x;
otherwise, x ▽ y = y ** x.
The precedence of operations: ** = ▽ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 2 + 3 ▽ 2
... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 + 3 ▽ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ♡, the rules are as follows:
when x is odd, x ♡ y = y / x + x * y + y;
otherwise, x ♡ y = x - y + y * y - x.
and ◎, the rules are as follows:
on the real number field, x ◎ y = x / y * y + y + y.
The precedence of operations: ◎ > ** > * = / = % = ♡ > + = -。
Parentheses have the highest priority, and the exp... | {
"game_data": {
"answer": "23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◎ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = x - x + y.
The precedence of operations: ** = ▽ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 10 ▽ 2 / 6 ** 8
Please fill you... | {
"game_data": {
"answer": "1e-06",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ▽ 2 / 6 ** 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = y + y - y / x + x.
and △, the rules are as follows:
when the sum of x and y is even, x △ y = x - 3 + y + x;
otherwise, x △ y = y ☆ y / y * y * x.
The precedence of operations: ** = △ > * = / = % = ☆ > + = -。
Parentheses have the highest priorit... | {
"game_data": {
"answer": "370.988981",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 △ 4 △ 4 ☆ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = y - x - x * y。
和 ⊙，规则如下：
当x等于y时，x ⊙ y = y * y + abs(y / x) - y；
其他情况下，x ⊙ y = y * x。
运算优先级：□ > ** = ⊙ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ⊙ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "32",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊙ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = x + y - 3 + 5 ** 4。
和 ⊙，规则如下：
当x和y都是奇数时，x ⊙ y = y / x * y ◎ x - y；
其他情况下，x ⊙ y = x - y * x * y * y。
和 ♡，规则如下：
实数域上，x ♡ y = x - x ◎ y + x。
运算优先级：♡ > ** = ◎ > * = / = % > + = - = ⊙。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 % 8 ♡ 4 ◎ 7 ⊙ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1368",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 % 8 ♡ 4 ◎ 7 ⊙ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = x - x + y.
The precedence of operations: ** > * = / = % = ▽ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 8 * 3 ▽ 4 % 4
Please fill your ... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 * 3 ▽ 4 % 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ⊗，规则如下：
当x是3的倍数时，x ⊗ y = y + x ** y / x；
其他情况下，x ⊗ y = y + x - 4 + x。
运算优先级：⊗ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ⊗ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊗ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ▽，规则如下：
当x大于y时，x ▽ y = x - y + x；
其他情况下，x ▽ y = x / y + y。
和 ◎，规则如下：
实数域上，x ◎ y = y - x + x + x。
和 ♢，规则如下：
实数域上，x ♢ y = (x + y + y - y) - x。
运算优先级：▽ > ♢ > ** > * = / = % > + = - = ◎。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ▽ 8 ♢ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ▽ 8 ♢ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ♡, the rules are as follows:
when x is a multiple of 5, x ♡ y = x - 1 - x + y;
otherwise, x ♡ y = x / y - x * x.
and ○, the rules are as follows:
when x is equal to y, x ○ y = x - 2 / (x) / y;
otherwise, x ○ y = y * y + x.
The precedence of operations: ♡ > ** = ○ > * = / = % > + = -。
Parentheses have the... | {
"game_data": {
"answer": "106.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 / 5 ♡ 4 + 6 ○ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define □, the rules are as follows:
on the real number field, x □ y = x * y / y + 1 - 4.
and ○, the rules are as follows:
on the real number field, x ○ y = x - 3 + y * 5.
The precedence of operations: □ > ** = ○ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is... | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ○ 4 □ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = (x) * y.
The precedence of operations: ** = ▽ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 6
Please fill your final answer i... | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = abs(y * x) + 4.
and △, the rules are as follows:
on the real number field, x △ y = y * (y - x).
The precedence of operations: ** = △ > * = / = % = ◎ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calc... | {
"game_data": {
"answer": "-33",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 - 3 ◎ 7 △ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = x - y - 5 ** y / x.
The precedence of operations: ▽ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 4 ▽ 7 ▽ 4
Please fill ... | {
"game_data": {
"answer": "-19538.218005",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ▽ 7 ▽ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | Define ♡, the rules are as follows:
when x and y are both odd, x ♡ y = (x) - 2 - x / y;
otherwise, x ♡ y = x + y * y.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = x - y ♡ x / y.
The precedence of operations: ** > * = / = % = ♡ = ⊙ > + = -。
Parentheses have the highest priority, and the expre... | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 7 % 1 ⊙ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define □, the rules are as follows:
when x is even, x □ y = (x) ** y;
otherwise, x □ y = x - y + y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = abs(y + x).
The precedence of operations: ◎ > ** > * = / = % = □ > + = -。
Parentheses have the highest priority, and the expression inside the pare... | {
"game_data": {
"answer": "15",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 8 □ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = 2 ** 4 + y + x / x。
和 ⊕，规则如下：
实数域上，x ⊕ y = x □ 1 - y - y - y。
运算优先级：⊕ > ** > * = / = % > + = - = □。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 □ 9 ⊕ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 □ 9 ⊕ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = x + y + y - x + y.
and □, the rules are as follows:
when x is greater than y, x □ y = (4 - x + x - y);
otherwise, x □ y = (y * x - 2) * x.
and ♡, the rules are as follows:
when x is less than y, x ♡ y = x / x * y * y;
otherwise, x ♡ y = y +... | {
"game_data": {
"answer": "65475",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♡ 9 / 1 □ 10 + 4 ♢ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ▽，规则如下：
实数域上，x ▽ y = 5 * y + x。
运算优先级：▽ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ▽ 1 ▽ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "27",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ▽ 1 ▽ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 △，规则如下：
当x是奇数时，x △ y = 4 * y + 4 - x；
其他情况下，x △ y = 1 * x + y。
运算优先级：△ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 △ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 △ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = y + 4 * x * y - x.
and ☆, the rules are as follows:
when x is odd, x ☆ y = y + x;
otherwise, x ☆ y = y * 4 + (x) ⊕ 1.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = y + x - y - x - x.
The precedence of operations: ** = ☆ >... | {
"game_data": {
"answer": "-157",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊕ 9 ⊙ 3 ☆ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ○，规则如下：
当x和y都是奇数时，x ○ y = x + y + 4 + 5 - 3；
其他情况下，x ○ y = (x + y * y + 3) + y。
运算优先级：** = ○ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 / 7 ○ 2 ○ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.204082",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 / 7 ○ 2 ○ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = x - y * y - x + x.
and ▽, the rules are as follows:
on the real number field, x ▽ y = x - y - x - 2.
and ☆, the rules are as follows:
on the real number field, x ☆ y = (x + y).
The precedence of operations: ☆ > ** > * = / = % = ▽ > + = - = ⊙。
P... | {
"game_data": {
"answer": "-8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊙ 1 ▽ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 △，规则如下：
当x是5的倍数时，x △ y = abs(x - y * y) * y；
其他情况下，x △ y = 4 + y / x - x - y。
运算优先级：** > * = / = % > + = - = △。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 △ 10 % 6 / 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-4.875",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 △ 10 % 6 / 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | 定义 ♡，规则如下：
当x等于y时，x ♡ y = x / (y - x)；
其他情况下，x ♡ y = y - abs(x * y)。
和 ⊕，规则如下：
当y是3的倍数时，x ⊕ y = x ♡ y；
其他情况下，x ⊕ y = y - x - y。
运算优先级：⊕ > ** > * = / = % > + = - = ♡。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ⊕ 6 ♡ 9 - 9 - 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-385",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊕ 6 ♡ 9 - 9 - 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | 定义 ♢，规则如下：
当x和y都是奇数时，x ♢ y = 2 - (x + y)；
其他情况下，x ♢ y = x / y + x。
和 ☆，规则如下：
当y是偶数时，x ☆ y = y + y * x；
其他情况下，x ☆ y = x ♢ y。
和 □，规则如下：
当x是3的倍数时，x □ y = y + x ♢ y；
其他情况下，x □ y = x / x ♢ y。
运算优先级：** > * = / = % > + = - = ♢ = ☆ = □。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 □ 10 ☆ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1.466667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 10 ☆ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | 定义 □，规则如下：
当y是5的倍数时，x □ y = x * y / x；
其他情况下，x □ y = x * abs(x) - y。
和 ⊙，规则如下：
当y是3的倍数时，x ⊙ y = x - 1 ** y / y；
其他情况下，x ⊙ y = x * y + 3。
运算优先级：⊙ > ** > * = / = % > + = - = □。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 / 4 □ 5 ** 1 ⊙ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-2.261122",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 / 4 □ 5 ** 1 ⊙ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = x / 2 + y.
and ♡, the rules are as follows:
on the real number field, x ♡ y = x + x * y.
and ◇, the rules are as follows:
when y is odd, x ◇ y = x + 4 + y;
otherwise, x ◇ y = x - x ⊕ y.
The precedence of operations: ◇ > ** = ♡ > * = / = % > +... | {
"game_data": {
"answer": "26",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊕ 10 ♡ 1 + 5 ◇ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = (1 * x - x) + y。
和 ⊕，规则如下：
实数域上，x ⊕ y = y * 5 * x - 1。
运算优先级：** > * = / = % = ⊕ > + = - = □。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 □ 7 ⊕ 7 * 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "732",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 □ 7 ⊕ 7 * 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = x / 3 ** (y - x).
and ◎, the rules are as follows:
when x is even, x ◎ y = x - abs(y ** y);
otherwise, x ◎ y = y - y + x * y.
and ◇, the rules are as follows:
on the real number field, x ◇ y = y ◎ y - x + 1.
The precedence of operations: ⊕ > ... | {
"game_data": {
"answer": "-315",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◇ 2 ◎ 7 ⊕ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = x * x - abs(y - x).
and □, the rules are as follows:
on the real number field, x □ y = abs(x * y - x).
The precedence of operations: ☆ > ** > * = / = % = □ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses ... | {
"game_data": {
"answer": "5820",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 □ 2 ☆ 3 ** 6 - 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | 定义 ☆，规则如下：
实数域上，x ☆ y = x / y - x。
和 ◎，规则如下：
当x大于y时，x ◎ y = y * x + x；
其他情况下，x ◎ y = (y / x)。
运算优先级：** > * = / = % = ☆ = ◎ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ◎ 2 ☆ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◎ 2 ☆ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | Define △, the rules are as follows:
when the sum of x and y is even, x △ y = y - x * 2 - y;
otherwise, x △ y = y - x + x * 1.
The precedence of operations: △ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of ... | {
"game_data": {
"answer": "-12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth"... |
logic-v2 | 定义 ♡，规则如下：
当x和y都是奇数时，x ♡ y = x - abs(y) ** x；
其他情况下，x ♡ y = x + x + 5 - y / x。
和 ⊙，规则如下：
当x和y的和是偶数时，x ⊙ y = (x ♡ x - y)；
其他情况下，x ⊙ y = y ♡ y - 1 + x + y。
运算优先级：** = ♡ > * = / = % = ⊙ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ♡ 9 ⊙ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-2.125",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ♡ 9 ⊙ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | 定义 ⊙，规则如下：
当x和y都是偶数时，x ⊙ y = (y) + x；
其他情况下，x ⊙ y = y - 2 / x。
和 △，规则如下：
实数域上，x △ y = y ** x。
和 ▽，规则如下：
实数域上，x ▽ y = x / y - x。
运算优先级：⊙ > ** > * = / = % = △ > + = - = ▽。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ▽ 7 ▽ 9 △ 8 ⊙ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5.142857",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ▽ 7 ▽ 9 △ 8 ⊙ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ☆，规则如下：
当y是5的倍数时，x ☆ y = x - 3 / y；
其他情况下，x ☆ y = y + 1 * 4 * x。
和 ♢，规则如下：
实数域上，x ♢ y = x * x - y + y。
运算优先级：☆ > ** > * = / = % = ♢ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 % 5 ☆ 10 ☆ 3 ♢ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 % 5 ☆ 10 ☆ 3 ♢ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = y - (x + y).
and ♡, the rules are as follows:
when x is odd, x ♡ y = y ☆ y - x;
otherwise, x ♡ y = y / x / y ** x.
The precedence of operations: ☆ > ** > * = / = % = ♡ > + = -。
Parentheses have the highest priority, and the expression inside th... | {
"game_data": {
"answer": "-3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ☆ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth"... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = x + y + x。
运算优先级：** = △ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 △ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 △ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth"... |
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