env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = abs(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: 10 / 7 * 8 ◇ 9
Please fill... | {
"game_data": {
"answer": "69.571429",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 / 7 * 8 ◇ 9",
"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 ** x + 3.
and ♡, the rules are as follows:
when x is odd, x ♡ y = y + y * x + abs(1);
otherwise, x ♡ y = y - x * x.
and □, the rules are as follows:
on the real number field, x □ y = y + y + x ** 3 * 3.
The precedence of operations: □ >... | {
"game_data": {
"answer": "-4135",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 - 6 ♡ 7 □ 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 = 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: 5 △ 9 + 2 △ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 △ 9 + 2 △ 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的和是偶数时，x ▽ y = y * y - x * x；
其他情况下，x ▽ y = x * y。
和 ⊙，规则如下：
实数域上，x ⊙ y = x + y + y * y。
和 ○，规则如下：
实数域上，x ○ y = y + x ** 1 ⊙ 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 ▽ 5 ⊙ 3 ○ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "537",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ▽ 5 ⊙ 3 ○ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | Define ◎, the rules are as follows:
when y is even, x ◎ y = y * x;
otherwise, x ◎ y = y * x + y + y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = 2 * x - 3 ◎ y.
The precedence of operations: ▽ > ** = ◎ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the ... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ◎ 9 ▽ 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 = y + x + abs(y + y).
and ▽, the rules are as follows:
when y is even, x ▽ y = 1 ⊙ x + y;
otherwise, x ▽ y = x + y ⊙ x.
and ◎, the rules are as follows:
on the real number field, x ◎ y = x / y / y ⊙ y.
The precedence of operations: ◎ > ** > * =... | {
"game_data": {
"answer": "58",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ▽ 6 ⊙ 8",
"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 a multiple of 5, x ⊗ y = x ** 3 - y + abs(y + x);
otherwise, x ⊗ y = y - 2 - 1 * x - y.
and ♡, the rules are as follows:
when x is a multiple of 5, x ♡ y = x + 1 * y ⊗ x + 3;
otherwise, x ♡ y = x - (y ⊗ x) + 1.
and ⊕, the rules are as follows:
when x and y are both ... | {
"game_data": {
"answer": "-8.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊗ 8 ♡ 3 ⊕ 1",
"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 even, x ▽ y = x + 5 * y;
otherwise, x ▽ y = 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 expre... | {
"game_data": {
"answer": "48",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ▽ 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：
当x和y都是偶数时，x ☆ y = abs(y * x) + 5；
其他情况下，x ☆ y = (y / y) + x。
和 ♡，规则如下：
当x是5的倍数时，x ♡ y = y ☆ y / x；
其他情况下，x ♡ y = y + 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 ☆ 1 - 7 ♡ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 1 - 7 ♡ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = x - y * y - y.
and ♡, the rules are as follows:
on the real number field, x ♡ y = y ** x * x.
The precedence of operations: ** = ♡ > * = / = % = ◎ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calcul... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◎ 2 ♡ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = y / y + x + x。
和 ◎，规则如下：
当y是奇数时，x ◎ y = x / y * 3；
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: 5 ◎ 2 □ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "33",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◎ 2 □ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = y * x + x - x。
和 ⊗，规则如下：
当x和y都是偶数时，x ⊗ y = y ♢ 3 + y + x；
其他情况下，x ⊗ y = y ♢ 4 / x * x。
和 ♡，规则如下：
实数域上，x ♡ y = y ♢ y + x - 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: 8 ♢ 3 ⊗ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "192",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ♢ 3 ⊗ 6",
"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y是奇数时，x ◇ y = x * y + y；
其他情况下，x ◇ y = 3 + 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 + 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "28",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 + 10 ◇ 6 + 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = x + y + x。
和 ○，规则如下：
实数域上，x ○ y = x - y * 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: 10 ○ 2 / 2 ◎ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ○ 2 / 2 ◎ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = x + abs(x / y + y)。
和 ◇，规则如下：
当x小于y时，x ◇ y = x + x - x * y；
其他情况下，x ◇ y = x ♢ 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: 7 □ 2 ◇ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 □ 2 ◇ 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 = y + x - 2.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = x ⊙ y * x.
and ○, the rules are as follows:
on the real number field, x ○ y = abs(x) - y + y.
The precedence of operations: ○ > ⊙ = ⊕ > ** > * = / = % > + = -。
Parent... | {
"game_data": {
"answer": "1456",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊙ 7 ⊕ 1 * 8 ○ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = (x - y) - x ** x.
and ☆, the rules are as follows:
on the real number field, x ☆ y = y * 5 + x.
The precedence of operations: ☆ > ** > * = / = % > + = - = ♡。
Parentheses have the highest priority, and the expression inside the parentheses is calc... | {
"game_data": {
"answer": "-3184",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♡ 5 ☆ 10 ♡ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = x / y - y / x.
and ⊙, the rules are as follows:
when y is odd, x ⊙ y = y - y + x + x;
otherwise, x ⊙ y = y + x / x * x.
and ○, the rules are as follows:
when x is a multiple of 5, x ○ y = y * x * x / x;
otherwise, x ○ y = x - x - y ⊙ 1.
The... | {
"game_data": {
"answer": "-12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♢ 1 ○ 3 ⊙ 7",
"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 / 3 / 3 / y.
and ⊙, the rules are as follows:
when x is a multiple of 3, x ⊙ y = y - x / x;
otherwise, x ⊙ y = (4 * y) + x - y.
The precedence of operations: □ > ** > * = / = % > + = - = ⊙。
Parentheses have the highest priority, and the expre... | {
"game_data": {
"answer": "2.083333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊙ 2 □ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ⊙，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 = 2 + 1 - x * 2 + y。
和 ⊗，规则如下：
实数域上，x ⊗ y = x - x + y + 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: 9 ⊗ 8 ▽ 8 ▽ 5 ⊙ 3 ▽ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊗ 8 ▽ 8 ▽ 5 ⊙ 3 ▽ 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 = y * 3 - 2 + 4 + x。
和 ♢，规则如下：
实数域上，x ♢ y = x / y / abs(x + y)。
和 ⊕，规则如下：
当x大于y时，x ⊕ y = abs(y + x + x * y)；
其他情况下，x ⊕ y = y ♢ x + x - 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: 3 ⊕ 8 ⊙ 10 ♢ 2 ⊙ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "14.473149",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 8 ⊙ 10 ♢ 2 ⊙ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ⊙, the rules are as follows:
when y is odd, x ⊙ y = y + x + 5 - y;
otherwise, x ⊙ y = abs(y + 1 + x - 4).
and ○, the rules are as follows:
on the real number field, x ○ y = x - y + x - 3.
and ▽, the rules are as follows:
on the real number field, x ▽ y = x - y - y / x.
The precedence of operations: ** = ... | {
"game_data": {
"answer": "11.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ○ 5 ▽ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ☆，规则如下：
当x和y的和是奇数时，x ☆ y = y - x + x；
其他情况下，x ☆ y = x - x - y。
和 ⊕，规则如下：
实数域上，x ⊕ y = 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 ☆ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 5",
"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y是偶数时，x ♡ y = x - y * x；
其他情况下，x ♡ y = x - y + y。
和 ⊙，规则如下：
当x和y都是偶数时，x ⊙ y = (x * 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 ⊙ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-19683",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊙ 3",
"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都是偶数时，x ◎ y = x * y + (y * x)；
其他情况下，x ◎ y = x / y - x * x。
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: 6 ◎ 2 □ 1 ◎ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-906",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◎ 2 □ 1 ◎ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define ♡, the rules are as follows:
when y is even, x ♡ y = x + y - x + 2;
otherwise, x ♡ y = y - x / x + 5.
and ♢, the rules are as follows:
on the real number field, x ♢ y = y + x + 1.
The precedence of operations: ♡ = ♢ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside ... | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♡ 6",
"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是奇数时，x △ y = 1 + x * y；
其他情况下，x △ y = 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 △ 10 * 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "279",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 △ 10 * 9",
"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 = 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: 8 % 7 ▽ 5
Please fill your... | {
"game_data": {
"answer": "-4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 % 7 ▽ 5",
"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 a multiple of 5, x ○ y = y * y * x ** x;
otherwise, x ○ y = x + x + y + 3.
The precedence of operations: ** > * = / = % = ○ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the e... | {
"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 | 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: 9 ○ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ○ 5",
"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是偶数时，x ⊙ y = x + x / x + y * x；
其他情况下，x ⊙ y = 1 * y + abs(x - x / y)。
和 ◎，规则如下：
实数域上，x ◎ y = (y / x * 5 - x ** 4)。
和 ♢，规则如下：
实数域上，x ♢ y = y ◎ 2 + 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 ⊙ 7 ♢ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2284.261905",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 2 ⊙ 7 ♢ 1",
"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 = (y / x - x - y)。
和 ⊙，规则如下：
当x大于y时，x ⊙ y = x - y * y ♢ x；
其他情况下，x ⊙ y = x + y + y - x。
和 ☆，规则如下：
实数域上，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: 2 ⊙ 3 ♢ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊙ 3 ♢ 6",
"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 = 4 ** x - x - y + y.
and ○, the rules are as follows:
on the real number field, x ○ y = y + x - y ** y.
and □, the rules are as follows:
on the real number field, x □ y = 2 / x - (y) ⊕ 1.
The precedence of operations: □ > ** = ○ > * = / = % = ⊕ ... | {
"game_data": {
"answer": "61",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 4 □ 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:
on the real number field, x ◎ y = y * x - x + (y).
and ☆, the rules are as follows:
when x is greater than y, x ☆ y = y / x ◎ x * x;
otherwise, x ☆ y = abs(y - x * y + y).
The precedence of operations: ☆ > ** > * = / = % > + = - = ◎。
Parentheses have the highest priority, and t... | {
"game_data": {
"answer": "55",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◎ 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：
当x和y的和是奇数时，x ◇ y = x / y * x / x；
其他情况下，x ◇ y = x + y / 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: 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:
when x is odd, x △ y = x - 1 - y - x;
otherwise, x △ y = x - 4 ** 5 + 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: 1... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = y / y - 2 + (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: 9 ◇ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 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).
and □, the rules are as follows:
when x is a multiple of 3, x □ y = x + x * y;
otherwise, x □ y = x + y ◎ x + y.
The precedence of operations: ◎ > ** > * = / = % > + = - = □。
Parentheses have the highest priority, and the expressi... | {
"game_data": {
"answer": "3.000248",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 4 □ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = (y - x + x)。
和 ♢，规则如下：
当x和y都是奇数时，x ♢ y = 5 / 3 ** 3 * y - x；
其他情况下，x ♢ y = 4 * x - 4 - 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 ◎ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♢ 1 ◎ 8",
"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 x is even, x ⊗ y = x + x - y;
otherwise, x ⊗ y = x / x - y * y.
and □, the rules are as follows:
on the real number field, x □ y = x - y + x + x.
The precedence of operations: □ > ** > * = / = % = ⊗ > + = -。
Parentheses have the highest priority, and the expression inside ... | {
"game_data": {
"answer": "-3.181818",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊗ 6 / 5 □ 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 is a multiple of 3, x ♢ y = y / y ** y + x * x;
otherwise, x ♢ y = x * y + y * y.
and ◇, the rules are as follows:
on the real number field, x ◇ y = 1 ** y + x + y * y.
and ○, the rules are as follows:
when the sum of x and y is odd, x ○ y = x + y - y - 2 ◇ x;
otherwis... | {
"game_data": {
"answer": "84",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ○ 1 ◇ 10 ♢ 6",
"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 + y) * y.
and △, the rules are as follows:
on the real number field, x △ y = y * x * y - 4.
The precedence of operations: △ > ** > * = / = % > + = - = ☆。
Parentheses have the highest priority, and the expression inside the parentheses is c... | {
"game_data": {
"answer": "2071",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ☆ 1 △ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 △，规则如下：
当x和y都是偶数时，x △ y = x + y - x；
其他情况下，x △ y = (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: 4 △ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 10",
"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 = abs(y + y + x)。
和 ◎，规则如下：
当x是偶数时，x ◎ y = (x + x ⊕ y - y)；
其他情况下，x ◎ y = y + 4 ⊕ y + x。
和 ♡，规则如下：
实数域上，x ♡ y = 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: 8 ♡ 7 ⊕ 8 ◎ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "33.347826",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ♡ 7 ⊕ 8 ◎ 2",
"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 + x.
and ♢, the rules are as follows:
when x and y are both even, x ♢ y = x / y - 1 * y;
otherwise, x ♢ y = y ♡ y - x * 3.
and ○, the rules are as follows:
when x is equal to y, x ○ y = y / x * x + y;
otherwise, x ○ y = x + y - x * y.
The... | {
"game_data": {
"answer": "-111",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♡ 3 ○ 1 ♢ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define △, the rules are as follows:
when x is a multiple of 3, x △ y = (y) * y * y + x;
otherwise, x △ y = 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 ... | {
"game_data": {
"answer": "362",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 + 7 △ 7 + 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = y ** (x - 2)。
和 ♡，规则如下：
实数域上，x ♡ y = abs(y * x) / x。
和 ◇，规则如下：
当x是偶数时，x ◇ y = x - y - y；
其他情况下，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: 8 ○ 5 ◇ 8 ♡ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ○ 5 ◇ 8 ♡ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = x - x - y。
和 ☆，规则如下：
实数域上，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: 3 ◎ 6 ☆ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◎ 6 ☆ 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 x is a multiple of 3, x ○ y = (y * 4 - x) + 1 / 4;
otherwise, x ○ y = x - y + 1 - x.
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": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ○ 8 ○ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ▽, the rules are as follows:
when x is a multiple of 5, x ▽ y = y * 2 * 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: 10... | {
"game_data": {
"answer": "150",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 + 10 ▽ 7",
"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5的倍数时，x ○ y = y + y - x + y；
其他情况下，x ○ y = x * x * 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: 7 + 2 ○ 9 - 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "79",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 + 2 ○ 9 - 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
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。
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 □ 7 ⊗ 9 / 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 □ 7 ⊗ 9 / 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = y * x。
和 ◎，规则如下：
当x和y都是奇数时，x ◎ y = x ** y / y；
其他情况下，x ◎ y = y ♢ y * x。
和 ♡，规则如下：
当y是偶数时，x ♡ y = (x ◎ 1 / y)；
其他情况下，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: 1 ◎ 9 ♢ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ◎ 9 ♢ 9",
"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 = y * x - x。
和 ◎，规则如下：
当x是3的倍数时，x ◎ y = y * x + y + x - x；
其他情况下，x ◎ y = y * x * x * y。
和 □，规则如下：
当x和y都是偶数时，x □ y = y ◎ y + x + y * x；
其他情况下，x □ y = 2 * y - 4 / 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 ◎ 1 □ 3 ⊙ 2 - 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-2.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◎ 1 □ 3 ⊙ 2 - 8",
"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 / x + y.
and ◇, the rules are as follows:
when x is less than y, x ◇ y = x * 4 + y;
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": "119",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 7 * 7 ⊕ 5 ☆ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | Define ⊕, the rules are as follows:
when y is a multiple of 3, x ⊕ y = x + y + x - 5 + y;
otherwise, x ⊕ y = x * y - y.
and ♢, the rules are as follows:
when y is a multiple of 3, x ♢ y = x + abs(3 / x - y) + 2;
otherwise, x ♢ y = x + x - y / 3 ⊕ 1.
and □, the rules are as follows:
when the sum of x and y is od... | {
"game_data": {
"answer": "149.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊕ 9 ♢ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = x / x - 5 * y。
和 △，规则如下：
实数域上，x △ y = x ⊕ (y * y + y - y)。
和 ⊗，规则如下：
实数域上，x ⊗ y = 4 - 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: 9 ⊕ 3 ⊗ 2 △ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊕ 3 ⊗ 2 △ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ♡，规则如下：
当y是3的倍数时，x ♡ 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 = 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 ▽ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ▽ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": ... |
logic-v2 | Define ♢, the rules are as follows:
when y is a multiple of 3, x ♢ y = y / x + x - x * x;
otherwise, x ♢ y = 1 + y + x + x - y.
and ○, the rules are as follows:
when the sum of x and y is even, x ○ y = y * 3 ♢ (x - y - 4);
otherwise, x ○ y = x - y + y * y ♢ x.
and ⊕, the rules are as follows:
on the real number... | {
"game_data": {
"answer": "23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♢ 1 ♢ 3 ○ 2 ⊕ 5",
"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和y的和是偶数时，x ○ y = y - x / x + y / y；
其他情况下，x ○ y = 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
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 | 定义 □，规则如下：
当y是奇数时，x □ y = x * (y) - y；
其他情况下，x □ y = x + y + y。
和 ☆，规则如下：
当y是3的倍数时，x ☆ y = (x / 3 * 2) + 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 ☆ 7 + 1 / 8 □ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "14.083333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 7 + 1 / 8 □ 2",
"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 * 4 + 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: 10 ▽ 5
Please fill your fin... | {
"game_data": {
"answer": "65",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ▽ 5",
"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小于y时，x △ y = abs(y / x + y / y)；
其他情况下，x △ y = x - y / 4 + 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 * 8 △ 10 ** 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "22.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 * 8 △ 10 ** 1",
"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和y的和是偶数时，x ⊗ y = x + (y - y)；
其他情况下，x ⊗ y = y / x - y ** x。
和 ♢，规则如下：
实数域上，x ♢ y = y + x ** 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 ♢ 3 ⊗ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-740.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 3 ⊗ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = x * y / x.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = y / x ⊙ y + y.
and △, the rules are as follows:
on the real number field, x △ y = y * x + y + x.
The precedence of operations: ⊙ > △ > ** = ⊕ > * = / = % > + = -。
Par... | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊙ 1 ⊕ 1 △ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = 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
Please fill your final a... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": nu... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = y - y * x + y.
and ◇, 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 ... | {
"game_data": {
"answer": "-4113",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◎ 7 ◇ 9 ◇ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 ◎，规则如下：
当x小于y时，x ◎ y = x * y / x + y；
其他情况下，x ◎ y = x * y * y + 1 + x。
和 ◇，规则如下：
实数域上，x ◇ y = y / 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: 4 ◇ 4 - 9 - 1 ◎ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-60.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◇ 4 - 9 - 1 ◎ 9",
"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 = y + y - y ** 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 ◎ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-226",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ☆ 5 ◎ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = 3 - (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:
when x and y are both even, x ▽ y = x + y * y;
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... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ♢，规则如下：
当y是奇数时，x ♢ y = 4 * x * y；
其他情况下，x ♢ y = 5 ** y - 1 + x。
和 □，规则如下：
当y是3的倍数时，x □ y = y ** x + 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 + (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: 10 ⊕ 7 □ 4 ♢ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7082.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊕ 7 □ 4 ♢ 4",
"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 = y * x / 5 - x。
和 ◇，规则如下：
实数域上，x ◇ y = 5 - x * 5 * y / 3。
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: 3 ⊙ 8 % 10 ◇ 1 ♢ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊙ 8 % 10 ◇ 1 ♢ 6",
"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 = (5 - 4 + x / y)。
和 ⊕，规则如下：
当y是偶数时，x ⊕ y = x / y / y ⊗ y；
其他情况下，x ⊕ y = x - 2 * y ⊗ 2。
和 ⊙，规则如下：
实数域上，x ⊙ y = 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: 5 ⊗ 3 ⊙ 7 ⊕ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-6.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊗ 3 ⊙ 7 ⊕ 1",
"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 = x * x - y * x。
和 ⊗，规则如下：
实数域上，x ⊗ y = 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 ♡ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "384",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊗ 2 ♡ 6",
"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y是偶数时，x ☆ y = x - x - y；
其他情况下，x ☆ y = x - (y + y - y) - y。
和 ▽，规则如下：
实数域上，x ▽ y = 2 + (x ☆ y * 1 * 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 * 8 ☆ 3 ▽ 8 % 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 * 8 ☆ 3 ▽ 8 % 5",
"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 * 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: 9 ◇ 9
Please fill your ... | {
"game_data": {
"answer": "-90",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 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 - y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = y - x - y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = (y) - 1 ⊗ x.
The precedence of operations: ⊗ > ⊕ = ☆ > ** > * = / = % > + = -。
Parenthes... | {
"game_data": {
"answer": "-4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ☆ 5 ⊕ 4",
"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 = x / 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: 8 ○ 10
Please fill your... | {
"game_data": {
"answer": "12.8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ○ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ▽, the rules are as follows:
when y is a multiple of 5, x ▽ y = y * y - x / y - x;
otherwise, 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 ex... | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8",
"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 = (x / y + x + y).
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = x + y + x.
and ♡, the rules are as follows:
when x is equal to y, x ♡ y = x - x + y;
otherwise, x ♡ y = x ** y + 1 / x.
The precedence of operations: ♡ > ** >... | {
"game_data": {
"answer": "22.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 1 ⊕ 7 ▽ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | Define ⊙, the rules are as follows:
when the sum of x and y is even, x ⊙ y = y - x - x;
otherwise, x ⊙ y = y * x - x + y.
and ○, the rules are as follows:
on the real number field, x ○ y = x ⊙ x - y * 1.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = y * x * y * y.
The precedence of operatio... | {
"game_data": {
"answer": "4106",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊕ 8 ○ 4 ⊙ 2",
"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 - 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
Please fill your final an... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ○，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 + 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 ○ 10 * 5 ○ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "31",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ○ 10 * 5 ○ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | Define ⊕, the rules are as follows:
when the sum of x and y is even, x ⊕ y = y - x + y;
otherwise, x ⊕ y = x * y - x.
and △, the rules are as follows:
when x is a multiple of 3, x △ y = abs(x) + y - x;
otherwise, x △ y = y * x.
and ☆, the rules are as follows:
on the real number field, x ☆ y = y * x △ x.
The ... | {
"game_data": {
"answer": "98",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 △ 1 ⊕ 8 ☆ 2",
"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 a multiple of 3, x ☆ y = y - x - y ** 4;
otherwise, x ☆ y = x + y - x.
and ◎, the rules are as follows:
when x is equal to y, x ◎ y = x ☆ y + 1 - 3;
otherwise, x ◎ y = 1 * y + y * x.
The precedence of operations: ☆ > ◎ > ** > * = / = % > + = -。
Parentheses have the ... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ** 9 ◎ 1 ☆ 9 / 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = x * y。
和 ⊕，规则如下：
当x和y的和是偶数时，x ⊕ y = y □ x / x；
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: 7 □ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "21",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 □ 3",
"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是奇数时，x ▽ y = x + y - y + y；
其他情况下，x ▽ y = y * 4 + 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 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = x - y - y。
和 ◇，规则如下：
当y是奇数时，x ◇ y = x + y * x；
其他情况下，x ◇ y = y - x - y。
和 ⊗，规则如下：
实数域上，x ⊗ y = (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: 3 ⊙ 3 ◇ 3 ⊗ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊙ 3 ◇ 3 ⊗ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, 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: 4 ▽ 2
Please fill your final answer... | {
"game_data": {
"answer": "0.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ▽ 2",
"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 = 1 * x + x * y.
and ⊗, the rules are as follows:
when x and y are both odd, x ⊗ y = y ☆ y * 1 + x;
otherwise, x ⊗ y = x * y ** x ☆ y.
The precedence of operations: ** > * = / = % = ☆ = ⊗ > + = -。
Parentheses have the highest priority, and the ex... | {
"game_data": {
"answer": "132",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊗ 5 ☆ 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 x and y are both even, x ♢ y = y - (x * x);
otherwise, x ♢ y = (y) / 2 - x.
and △, the rules are as follows:
when x is greater than y, x △ y = y ♢ x * x;
otherwise, x △ y = y ♢ x - x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = (x) ** y * y.
The ... | {
"game_data": {
"answer": "-1219",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◇ 5 ♢ 8 △ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = x - y * x + 1。
和 ⊕，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 = y * abs(x + 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: 10 ⊕ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "110",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊕ 6",
"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 + x + y * 3.
and ▽, the rules are as follows:
on the real number field, x ▽ y = x - y ♡ 4 - y.
The precedence of operations: ** > * = / = % = ♡ = ▽ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is cal... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 * 6 ▽ 10 ♡ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ○, the rules are as follows:
on the real number field, 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: 1
Please fill your final an... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = x + (y)。
和 ☆，规则如下：
当x和y的和是奇数时，x ☆ y = y * x + y；
其他情况下，x ☆ y = 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: 4 / 6 □ 6 ☆ 3 □ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "25.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 / 6 □ 6 ☆ 3 □ 4",
"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 = x - y + x。
和 △，规则如下：
实数域上，x △ y = y ⊗ x - x / y。
和 ▽，规则如下：
实数域上，x ▽ y = 4 * 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: 6 △ 10 ⊗ 3 ▽ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "109",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 10 ⊗ 3 ▽ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = y - 4 - 3 ** y / x.
and ☆, the rules are as follows:
when x and y are both odd, x ☆ y = y * y - x + x - y;
otherwise, x ☆ y = (4 + x ⊕ y) * 4 + x.
and ♡, the rules are as follows:
on the real number field, x ♡ y = x * 1 ⊕ y + y.
The precedenc... | {
"game_data": {
"answer": "-24.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊕ 4 ♡ 5 ☆ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = x - y * y。
和 ☆，规则如下：
当y是5的倍数时，x ☆ y = x + y * 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: 5 ⊗ 1 / 8 ☆ 7 ☆ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.010417",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊗ 1 / 8 ☆ 7 ☆ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ♢, the rules are as follows:
when the sum of x and y is odd, x ♢ y = x / y;
otherwise, x ♢ y = y + y + x.
and ○, the rules are as follows:
on the real number field, x ○ y = y + (y - x).
and ⊕, the rules are as follows:
when x and y are both even, x ⊕ y = x / y * y;
otherwise, x ⊕ y = y ○ y + x.
The pre... | {
"game_data": {
"answer": "-4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♢ 4 ○ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
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