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Below are definitions of new mathematical operators.
Definitions:
a ⊜ b = 2*a - 3*b
Compute step by step: 4 ⊜ 9
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -19 | 2 | {"operators": [{"symbol": "⊜", "template_idx": 1, "coeffs": [2, 3]}], "expression_tree": {"type": "op", "symbol": "⊜", "left": {"type": "leaf", "value": 4}, "right": {"type": "leaf", "value": 9}}, "expected_steps": [{"expr_str": "4 ⊜ 9", "result": -19}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊜ b = 2*a - 3*b
Compute step by step: 3 ⊜ 5
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -9 | 2 | {"operators": [{"symbol": "⊜", "template_idx": 1, "coeffs": [2, 3]}], "expression_tree": {"type": "op", "symbol": "⊜", "left": {"type": "leaf", "value": 3}, "right": {"type": "leaf", "value": 5}}, "expected_steps": [{"expr_str": "3 ⊜ 5", "result": -9}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊡ b = 1*a - 1*b
Compute step by step: 7 ⊡ 9
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -2 | 2 | {"operators": [{"symbol": "⊡", "template_idx": 1, "coeffs": [1, 1]}], "expression_tree": {"type": "op", "symbol": "⊡", "left": {"type": "leaf", "value": 7}, "right": {"type": "leaf", "value": 9}}, "expected_steps": [{"expr_str": "7 ⊡ 9", "result": -2}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊛ b = 3*a - 2*b
Compute step by step: 9 ⊛ 2
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 23 | 2 | {"operators": [{"symbol": "⊛", "template_idx": 1, "coeffs": [3, 2]}], "expression_tree": {"type": "op", "symbol": "⊛", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 2}}, "expected_steps": [{"expr_str": "9 ⊛ 2", "result": 23}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊡ b = 3*a - 2*b
Compute step by step: 9 ⊡ 5
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 17 | 2 | {"operators": [{"symbol": "⊡", "template_idx": 1, "coeffs": [3, 2]}], "expression_tree": {"type": "op", "symbol": "⊡", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 5}}, "expected_steps": [{"expr_str": "9 ⊡ 5", "result": 17}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊘ b = 2*a - 2*b
Compute step by step: 10 ⊘ 6
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 8 | 2 | {"operators": [{"symbol": "⊘", "template_idx": 1, "coeffs": [2, 2]}], "expression_tree": {"type": "op", "symbol": "⊘", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 6}}, "expected_steps": [{"expr_str": "10 ⊘ 6", "result": 8}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊡ b = 2*a - 1*b
Compute step by step: 4 ⊡ 9
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -1 | 2 | {"operators": [{"symbol": "⊡", "template_idx": 1, "coeffs": [2, 1]}], "expression_tree": {"type": "op", "symbol": "⊡", "left": {"type": "leaf", "value": 4}, "right": {"type": "leaf", "value": 9}}, "expected_steps": [{"expr_str": "4 ⊡ 9", "result": -1}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 3*a + 3*b + 2
Compute step by step: 5 ⊠ 8
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 41 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 0, "coeffs": [3, 3, 2]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 5}, "right": {"type": "leaf", "value": 8}}, "expected_steps": [{"expr_str": "5 ⊠ 8", "result": 41}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊖ b = 1*a + 3*b + 2
Compute step by step: 7 ⊖ 12
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 45 | 2 | {"operators": [{"symbol": "⊖", "template_idx": 0, "coeffs": [1, 3, 2]}], "expression_tree": {"type": "op", "symbol": "⊖", "left": {"type": "leaf", "value": 7}, "right": {"type": "leaf", "value": 12}}, "expected_steps": [{"expr_str": "7 ⊖ 12", "result": 45}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 2*a - 1*b
Compute step by step: 3 ⊠ 7
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -1 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 1, "coeffs": [2, 1]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 3}, "right": {"type": "leaf", "value": 7}}, "expected_steps": [{"expr_str": "3 ⊠ 7", "result": -1}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊛ b = 3*a + 2*b + 2
Compute step by step: 9 ⊛ 3
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 35 | 2 | {"operators": [{"symbol": "⊛", "template_idx": 0, "coeffs": [3, 2, 2]}], "expression_tree": {"type": "op", "symbol": "⊛", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 3}}, "expected_steps": [{"expr_str": "9 ⊛ 3", "result": 35}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊖ b = 1*a - 1*b
Compute step by step: 11 ⊖ 3
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 8 | 2 | {"operators": [{"symbol": "⊖", "template_idx": 1, "coeffs": [1, 1]}], "expression_tree": {"type": "op", "symbol": "⊖", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 3}}, "expected_steps": [{"expr_str": "11 ⊖ 3", "result": 8}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊞ b = 3*a - 1*b
Compute step by step: 8 ⊞ 11
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 13 | 2 | {"operators": [{"symbol": "⊞", "template_idx": 1, "coeffs": [3, 1]}], "expression_tree": {"type": "op", "symbol": "⊞", "left": {"type": "leaf", "value": 8}, "right": {"type": "leaf", "value": 11}}, "expected_steps": [{"expr_str": "8 ⊞ 11", "result": 13}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊗ b = 3*a - 3*b
Compute step by step: 10 ⊗ 6
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 12 | 2 | {"operators": [{"symbol": "⊗", "template_idx": 1, "coeffs": [3, 3]}], "expression_tree": {"type": "op", "symbol": "⊗", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 6}}, "expected_steps": [{"expr_str": "10 ⊗ 6", "result": 12}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊗ b = 1*a + 1*b + 2
Compute step by step: 2 ⊗ 12
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 16 | 2 | {"operators": [{"symbol": "⊗", "template_idx": 0, "coeffs": [1, 1, 2]}], "expression_tree": {"type": "op", "symbol": "⊗", "left": {"type": "leaf", "value": 2}, "right": {"type": "leaf", "value": 12}}, "expected_steps": [{"expr_str": "2 ⊗ 12", "result": 16}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 2*a - 2*b
Compute step by step: 11 ⊠ 11
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 0 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 1, "coeffs": [2, 2]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 11}}, "expected_steps": [{"expr_str": "11 ⊠ 11", "result": 0}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊞ b = 3*a + 1*b + 1
Compute step by step: 5 ⊞ 8
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 24 | 2 | {"operators": [{"symbol": "⊞", "template_idx": 0, "coeffs": [3, 1, 1]}], "expression_tree": {"type": "op", "symbol": "⊞", "left": {"type": "leaf", "value": 5}, "right": {"type": "leaf", "value": 8}}, "expected_steps": [{"expr_str": "5 ⊞ 8", "result": 24}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊡ b = 3*a - 1*b
Compute step by step: 12 ⊡ 2
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 34 | 2 | {"operators": [{"symbol": "⊡", "template_idx": 1, "coeffs": [3, 1]}], "expression_tree": {"type": "op", "symbol": "⊡", "left": {"type": "leaf", "value": 12}, "right": {"type": "leaf", "value": 2}}, "expected_steps": [{"expr_str": "12 ⊡ 2", "result": 34}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊕ b = 2*a + 2*b + 2
Compute step by step: 5 ⊕ 12
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 36 | 2 | {"operators": [{"symbol": "⊕", "template_idx": 0, "coeffs": [2, 2, 2]}], "expression_tree": {"type": "op", "symbol": "⊕", "left": {"type": "leaf", "value": 5}, "right": {"type": "leaf", "value": 12}}, "expected_steps": [{"expr_str": "5 ⊕ 12", "result": 36}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 1*a - 2*b
Compute step by step: 12 ⊠ 10
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -8 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 1, "coeffs": [1, 2]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 12}, "right": {"type": "leaf", "value": 10}}, "expected_steps": [{"expr_str": "12 ⊠ 10", "result": -8}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊞ b = 3*a - 3*b
Compute step by step: 3 ⊞ 11
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -24 | 2 | {"operators": [{"symbol": "⊞", "template_idx": 1, "coeffs": [3, 3]}], "expression_tree": {"type": "op", "symbol": "⊞", "left": {"type": "leaf", "value": 3}, "right": {"type": "leaf", "value": 11}}, "expected_steps": [{"expr_str": "3 ⊞ 11", "result": -24}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊗ b = 1*a + 2*b + 2
Compute step by step: 12 ⊗ 12
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 38 | 2 | {"operators": [{"symbol": "⊗", "template_idx": 0, "coeffs": [1, 2, 2]}], "expression_tree": {"type": "op", "symbol": "⊗", "left": {"type": "leaf", "value": 12}, "right": {"type": "leaf", "value": 12}}, "expected_steps": [{"expr_str": "12 ⊗ 12", "result": 38}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊙ b = 1*a + 3*b + 1
Compute step by step: 10 ⊙ 6
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 29 | 2 | {"operators": [{"symbol": "⊙", "template_idx": 0, "coeffs": [1, 3, 1]}], "expression_tree": {"type": "op", "symbol": "⊙", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 6}}, "expected_steps": [{"expr_str": "10 ⊙ 6", "result": 29}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊖ b = 1*a + 3*b + 1
Compute step by step: 9 ⊖ 6
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 28 | 2 | {"operators": [{"symbol": "⊖", "template_idx": 0, "coeffs": [1, 3, 1]}], "expression_tree": {"type": "op", "symbol": "⊖", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 6}}, "expected_steps": [{"expr_str": "9 ⊖ 6", "result": 28}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊜ b = 3*a - 2*b
Compute step by step: 11 ⊜ 8
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 17 | 2 | {"operators": [{"symbol": "⊜", "template_idx": 1, "coeffs": [3, 2]}], "expression_tree": {"type": "op", "symbol": "⊜", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 8}}, "expected_steps": [{"expr_str": "11 ⊜ 8", "result": 17}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊕ b = 2*a - 1*b
Compute step by step: 7 ⊕ 8
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 6 | 2 | {"operators": [{"symbol": "⊕", "template_idx": 1, "coeffs": [2, 1]}], "expression_tree": {"type": "op", "symbol": "⊕", "left": {"type": "leaf", "value": 7}, "right": {"type": "leaf", "value": 8}}, "expected_steps": [{"expr_str": "7 ⊕ 8", "result": 6}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 2*a - 1*b
Compute step by step: 9 ⊠ 10
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 8 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 1, "coeffs": [2, 1]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 10}}, "expected_steps": [{"expr_str": "9 ⊠ 10", "result": 8}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊛ b = 2*a - 2*b
Compute step by step: 9 ⊛ 10
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -2 | 2 | {"operators": [{"symbol": "⊛", "template_idx": 1, "coeffs": [2, 2]}], "expression_tree": {"type": "op", "symbol": "⊛", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 10}}, "expected_steps": [{"expr_str": "9 ⊛ 10", "result": -2}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 1*a + 1*b + 2
Compute step by step: 10 ⊠ 4
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 16 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 0, "coeffs": [1, 1, 2]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 4}}, "expected_steps": [{"expr_str": "10 ⊠ 4", "result": 16}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊛ b = 1*a + 2*b + 1
Compute step by step: 11 ⊛ 2
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 16 | 2 | {"operators": [{"symbol": "⊛", "template_idx": 0, "coeffs": [1, 2, 1]}], "expression_tree": {"type": "op", "symbol": "⊛", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 2}}, "expected_steps": [{"expr_str": "11 ⊛ 2", "result": 16}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊞ b = 1*a - 3*b
Compute step by step: 10 ⊞ 8
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -14 | 2 | {"operators": [{"symbol": "⊞", "template_idx": 1, "coeffs": [1, 3]}], "expression_tree": {"type": "op", "symbol": "⊞", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 8}}, "expected_steps": [{"expr_str": "10 ⊞ 8", "result": -14}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 2*a + 2*b + 1
Compute step by step: 10 ⊠ 5
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 31 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 0, "coeffs": [2, 2, 1]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 5}}, "expected_steps": [{"expr_str": "10 ⊠ 5", "result": 31}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊘ b = 1*a + 1*b + 2
Compute step by step: 10 ⊘ 6
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 18 | 2 | {"operators": [{"symbol": "⊘", "template_idx": 0, "coeffs": [1, 1, 2]}], "expression_tree": {"type": "op", "symbol": "⊘", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 6}}, "expected_steps": [{"expr_str": "10 ⊘ 6", "result": 18}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 1*a + 1*b + 1
Compute step by step: 9 ⊠ 12
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 22 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 0, "coeffs": [1, 1, 1]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 12}}, "expected_steps": [{"expr_str": "9 ⊠ 12", "result": 22}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊞ b = 2*a + 3*b + 2
Compute step by step: 11 ⊞ 1
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 27 | 2 | {"operators": [{"symbol": "⊞", "template_idx": 0, "coeffs": [2, 3, 2]}], "expression_tree": {"type": "op", "symbol": "⊞", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 1}}, "expected_steps": [{"expr_str": "11 ⊞ 1", "result": 27}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊗ b = 1*a + 2*b + 1
Compute step by step: 2 ⊗ 4
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 11 | 2 | {"operators": [{"symbol": "⊗", "template_idx": 0, "coeffs": [1, 2, 1]}], "expression_tree": {"type": "op", "symbol": "⊗", "left": {"type": "leaf", "value": 2}, "right": {"type": "leaf", "value": 4}}, "expected_steps": [{"expr_str": "2 ⊗ 4", "result": 11}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊘ b = 2*a + 3*b + 1
Compute step by step: 10 ⊘ 9
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 48 | 2 | {"operators": [{"symbol": "⊘", "template_idx": 0, "coeffs": [2, 3, 1]}], "expression_tree": {"type": "op", "symbol": "⊘", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 9}}, "expected_steps": [{"expr_str": "10 ⊘ 9", "result": 48}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊞ b = 3*a + 1*b + 3
Compute step by step: 6 ⊞ 9
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 30 | 2 | {"operators": [{"symbol": "⊞", "template_idx": 0, "coeffs": [3, 1, 3]}], "expression_tree": {"type": "op", "symbol": "⊞", "left": {"type": "leaf", "value": 6}, "right": {"type": "leaf", "value": 9}}, "expected_steps": [{"expr_str": "6 ⊞ 9", "result": 30}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊞ b = 3*a - 3*b
Compute step by step: 7 ⊞ 2
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 15 | 2 | {"operators": [{"symbol": "⊞", "template_idx": 1, "coeffs": [3, 3]}], "expression_tree": {"type": "op", "symbol": "⊞", "left": {"type": "leaf", "value": 7}, "right": {"type": "leaf", "value": 2}}, "expected_steps": [{"expr_str": "7 ⊞ 2", "result": 15}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊞ b = 1*a + 3*b + 3
Compute step by step: 1 ⊞ 12
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 40 | 2 | {"operators": [{"symbol": "⊞", "template_idx": 0, "coeffs": [1, 3, 3]}], "expression_tree": {"type": "op", "symbol": "⊞", "left": {"type": "leaf", "value": 1}, "right": {"type": "leaf", "value": 12}}, "expected_steps": [{"expr_str": "1 ⊞ 12", "result": 40}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊖ b = 2*a - 2*b
Compute step by step: 8 ⊖ 8
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 0 | 2 | {"operators": [{"symbol": "⊖", "template_idx": 1, "coeffs": [2, 2]}], "expression_tree": {"type": "op", "symbol": "⊖", "left": {"type": "leaf", "value": 8}, "right": {"type": "leaf", "value": 8}}, "expected_steps": [{"expr_str": "8 ⊖ 8", "result": 0}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊡ b = 2*a + 3*b + 2
Compute step by step: 3 ⊡ 7
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 29 | 2 | {"operators": [{"symbol": "⊡", "template_idx": 0, "coeffs": [2, 3, 2]}], "expression_tree": {"type": "op", "symbol": "⊡", "left": {"type": "leaf", "value": 3}, "right": {"type": "leaf", "value": 7}}, "expected_steps": [{"expr_str": "3 ⊡ 7", "result": 29}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊖ b = 1*a - 3*b
Compute step by step: 9 ⊖ 10
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -21 | 2 | {"operators": [{"symbol": "⊖", "template_idx": 1, "coeffs": [1, 3]}], "expression_tree": {"type": "op", "symbol": "⊖", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 10}}, "expected_steps": [{"expr_str": "9 ⊖ 10", "result": -21}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊖ b = 3*a + 1*b + 3
Compute step by step: 5 ⊖ 11
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 29 | 2 | {"operators": [{"symbol": "⊖", "template_idx": 0, "coeffs": [3, 1, 3]}], "expression_tree": {"type": "op", "symbol": "⊖", "left": {"type": "leaf", "value": 5}, "right": {"type": "leaf", "value": 11}}, "expected_steps": [{"expr_str": "5 ⊖ 11", "result": 29}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊛ b = 2*a - 2*b
Compute step by step: 6 ⊛ 9
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -6 | 2 | {"operators": [{"symbol": "⊛", "template_idx": 1, "coeffs": [2, 2]}], "expression_tree": {"type": "op", "symbol": "⊛", "left": {"type": "leaf", "value": 6}, "right": {"type": "leaf", "value": 9}}, "expected_steps": [{"expr_str": "6 ⊛ 9", "result": -6}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊘ b = 2*a - 3*b
Compute step by step: 11 ⊘ 4
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 10 | 2 | {"operators": [{"symbol": "⊘", "template_idx": 1, "coeffs": [2, 3]}], "expression_tree": {"type": "op", "symbol": "⊘", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 4}}, "expected_steps": [{"expr_str": "11 ⊘ 4", "result": 10}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊡ b = 1*a + 2*b + 2
Compute step by step: 10 ⊡ 9
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 30 | 2 | {"operators": [{"symbol": "⊡", "template_idx": 0, "coeffs": [1, 2, 2]}], "expression_tree": {"type": "op", "symbol": "⊡", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 9}}, "expected_steps": [{"expr_str": "10 ⊡ 9", "result": 30}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊖ b = 3*a + 3*b + 3
Compute step by step: 1 ⊖ 1
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 9 | 2 | {"operators": [{"symbol": "⊖", "template_idx": 0, "coeffs": [3, 3, 3]}], "expression_tree": {"type": "op", "symbol": "⊖", "left": {"type": "leaf", "value": 1}, "right": {"type": "leaf", "value": 1}}, "expected_steps": [{"expr_str": "1 ⊖ 1", "result": 9}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊗ b = 2*a - 3*b
Compute step by step: 8 ⊗ 1
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 13 | 2 | {"operators": [{"symbol": "⊗", "template_idx": 1, "coeffs": [2, 3]}], "expression_tree": {"type": "op", "symbol": "⊗", "left": {"type": "leaf", "value": 8}, "right": {"type": "leaf", "value": 1}}, "expected_steps": [{"expr_str": "8 ⊗ 1", "result": 13}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊙ b = 2*a - 2*b
Compute step by step: 11 ⊙ 7
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 8 | 2 | {"operators": [{"symbol": "⊙", "template_idx": 1, "coeffs": [2, 2]}], "expression_tree": {"type": "op", "symbol": "⊙", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 7}}, "expected_steps": [{"expr_str": "11 ⊙ 7", "result": 8}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊗ b = 2*a + 3*b + 2
Compute step by step: 5 ⊗ 5
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 27 | 2 | {"operators": [{"symbol": "⊗", "template_idx": 0, "coeffs": [2, 3, 2]}], "expression_tree": {"type": "op", "symbol": "⊗", "left": {"type": "leaf", "value": 5}, "right": {"type": "leaf", "value": 5}}, "expected_steps": [{"expr_str": "5 ⊗ 5", "result": 27}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊖ b = 2*a - 3*b
Compute step by step: 4 ⊖ 10
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -22 | 2 | {"operators": [{"symbol": "⊖", "template_idx": 1, "coeffs": [2, 3]}], "expression_tree": {"type": "op", "symbol": "⊖", "left": {"type": "leaf", "value": 4}, "right": {"type": "leaf", "value": 10}}, "expected_steps": [{"expr_str": "4 ⊖ 10", "result": -22}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊖ b = 2*a - 2*b
Compute step by step: 3 ⊖ 6
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -6 | 2 | {"operators": [{"symbol": "⊖", "template_idx": 1, "coeffs": [2, 2]}], "expression_tree": {"type": "op", "symbol": "⊖", "left": {"type": "leaf", "value": 3}, "right": {"type": "leaf", "value": 6}}, "expected_steps": [{"expr_str": "3 ⊖ 6", "result": -6}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊕ b = 3*a + 2*b + 3
Compute step by step: 8 ⊕ 11
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 49 | 2 | {"operators": [{"symbol": "⊕", "template_idx": 0, "coeffs": [3, 2, 3]}], "expression_tree": {"type": "op", "symbol": "⊕", "left": {"type": "leaf", "value": 8}, "right": {"type": "leaf", "value": 11}}, "expected_steps": [{"expr_str": "8 ⊕ 11", "result": 49}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊙ b = 1*a + 2*b + 2
Compute step by step: 9 ⊙ 11
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 33 | 2 | {"operators": [{"symbol": "⊙", "template_idx": 0, "coeffs": [1, 2, 2]}], "expression_tree": {"type": "op", "symbol": "⊙", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 11}}, "expected_steps": [{"expr_str": "9 ⊙ 11", "result": 33}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊗ b = 2*a + 1*b + 3
Compute step by step: 8 ⊗ 4
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 23 | 2 | {"operators": [{"symbol": "⊗", "template_idx": 0, "coeffs": [2, 1, 3]}], "expression_tree": {"type": "op", "symbol": "⊗", "left": {"type": "leaf", "value": 8}, "right": {"type": "leaf", "value": 4}}, "expected_steps": [{"expr_str": "8 ⊗ 4", "result": 23}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊡ b = 2*a - 2*b
Compute step by step: 12 ⊡ 11
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 2 | 2 | {"operators": [{"symbol": "⊡", "template_idx": 1, "coeffs": [2, 2]}], "expression_tree": {"type": "op", "symbol": "⊡", "left": {"type": "leaf", "value": 12}, "right": {"type": "leaf", "value": 11}}, "expected_steps": [{"expr_str": "12 ⊡ 11", "result": 2}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊡ b = 3*a - 1*b
Compute step by step: 2 ⊡ 5
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 1 | 2 | {"operators": [{"symbol": "⊡", "template_idx": 1, "coeffs": [3, 1]}], "expression_tree": {"type": "op", "symbol": "⊡", "left": {"type": "leaf", "value": 2}, "right": {"type": "leaf", "value": 5}}, "expected_steps": [{"expr_str": "2 ⊡ 5", "result": 1}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊗ b = 3*a + 2*b + 2
Compute step by step: 4 ⊗ 12
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 38 | 2 | {"operators": [{"symbol": "⊗", "template_idx": 0, "coeffs": [3, 2, 2]}], "expression_tree": {"type": "op", "symbol": "⊗", "left": {"type": "leaf", "value": 4}, "right": {"type": "leaf", "value": 12}}, "expected_steps": [{"expr_str": "4 ⊗ 12", "result": 38}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊞ b = 2*a - 1*b
Compute step by step: 5 ⊞ 5
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 5 | 2 | {"operators": [{"symbol": "⊞", "template_idx": 1, "coeffs": [2, 1]}], "expression_tree": {"type": "op", "symbol": "⊞", "left": {"type": "leaf", "value": 5}, "right": {"type": "leaf", "value": 5}}, "expected_steps": [{"expr_str": "5 ⊞ 5", "result": 5}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊘ b = 3*a + 1*b + 3
Compute step by step: 10 ⊘ 4
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 37 | 2 | {"operators": [{"symbol": "⊘", "template_idx": 0, "coeffs": [3, 1, 3]}], "expression_tree": {"type": "op", "symbol": "⊘", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 4}}, "expected_steps": [{"expr_str": "10 ⊘ 4", "result": 37}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊙ b = 3*a + 1*b + 1
Compute step by step: 1 ⊙ 6
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 10 | 2 | {"operators": [{"symbol": "⊙", "template_idx": 0, "coeffs": [3, 1, 1]}], "expression_tree": {"type": "op", "symbol": "⊙", "left": {"type": "leaf", "value": 1}, "right": {"type": "leaf", "value": 6}}, "expected_steps": [{"expr_str": "1 ⊙ 6", "result": 10}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 1*a - 3*b
Compute step by step: 3 ⊠ 11
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -30 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 1, "coeffs": [1, 3]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 3}, "right": {"type": "leaf", "value": 11}}, "expected_steps": [{"expr_str": "3 ⊠ 11", "result": -30}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊡ b = 2*a + 2*b + 2
Compute step by step: 4 ⊡ 3
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 16 | 2 | {"operators": [{"symbol": "⊡", "template_idx": 0, "coeffs": [2, 2, 2]}], "expression_tree": {"type": "op", "symbol": "⊡", "left": {"type": "leaf", "value": 4}, "right": {"type": "leaf", "value": 3}}, "expected_steps": [{"expr_str": "4 ⊡ 3", "result": 16}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊘ b = 1*a + 3*b + 3
Compute step by step: 4 ⊘ 7
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 28 | 2 | {"operators": [{"symbol": "⊘", "template_idx": 0, "coeffs": [1, 3, 3]}], "expression_tree": {"type": "op", "symbol": "⊘", "left": {"type": "leaf", "value": 4}, "right": {"type": "leaf", "value": 7}}, "expected_steps": [{"expr_str": "4 ⊘ 7", "result": 28}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊞ b = 2*a - 1*b
Compute step by step: 7 ⊞ 1
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 13 | 2 | {"operators": [{"symbol": "⊞", "template_idx": 1, "coeffs": [2, 1]}], "expression_tree": {"type": "op", "symbol": "⊞", "left": {"type": "leaf", "value": 7}, "right": {"type": "leaf", "value": 1}}, "expected_steps": [{"expr_str": "7 ⊞ 1", "result": 13}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊕ b = 1*a - 1*b
Compute step by step: 11 ⊕ 5
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 6 | 2 | {"operators": [{"symbol": "⊕", "template_idx": 1, "coeffs": [1, 1]}], "expression_tree": {"type": "op", "symbol": "⊕", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 5}}, "expected_steps": [{"expr_str": "11 ⊕ 5", "result": 6}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊡ b = 3*a - 1*b
Compute step by step: 11 ⊡ 8
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 25 | 2 | {"operators": [{"symbol": "⊡", "template_idx": 1, "coeffs": [3, 1]}], "expression_tree": {"type": "op", "symbol": "⊡", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 8}}, "expected_steps": [{"expr_str": "11 ⊡ 8", "result": 25}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊛ b = 2*a + 3*b + 2
Compute step by step: 3 ⊛ 2
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 14 | 2 | {"operators": [{"symbol": "⊛", "template_idx": 0, "coeffs": [2, 3, 2]}], "expression_tree": {"type": "op", "symbol": "⊛", "left": {"type": "leaf", "value": 3}, "right": {"type": "leaf", "value": 2}}, "expected_steps": [{"expr_str": "3 ⊛ 2", "result": 14}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊗ b = 1*a - 3*b
Compute step by step: 9 ⊗ 11
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -24 | 2 | {"operators": [{"symbol": "⊗", "template_idx": 1, "coeffs": [1, 3]}], "expression_tree": {"type": "op", "symbol": "⊗", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 11}}, "expected_steps": [{"expr_str": "9 ⊗ 11", "result": -24}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 2*a - 2*b
Compute step by step: 8 ⊠ 9
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -2 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 1, "coeffs": [2, 2]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 8}, "right": {"type": "leaf", "value": 9}}, "expected_steps": [{"expr_str": "8 ⊠ 9", "result": -2}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊛ b = 2*a + 3*b + 2
Compute step by step: 1 ⊛ 1
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 7 | 2 | {"operators": [{"symbol": "⊛", "template_idx": 0, "coeffs": [2, 3, 2]}], "expression_tree": {"type": "op", "symbol": "⊛", "left": {"type": "leaf", "value": 1}, "right": {"type": "leaf", "value": 1}}, "expected_steps": [{"expr_str": "1 ⊛ 1", "result": 7}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊘ b = 3*a + 3*b + 1
Compute step by step: 1 ⊘ 8
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 28 | 2 | {"operators": [{"symbol": "⊘", "template_idx": 0, "coeffs": [3, 3, 1]}], "expression_tree": {"type": "op", "symbol": "⊘", "left": {"type": "leaf", "value": 1}, "right": {"type": "leaf", "value": 8}}, "expected_steps": [{"expr_str": "1 ⊘ 8", "result": 28}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊕ b = 2*a - 2*b
Compute step by step: 11 ⊕ 7
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 8 | 2 | {"operators": [{"symbol": "⊕", "template_idx": 1, "coeffs": [2, 2]}], "expression_tree": {"type": "op", "symbol": "⊕", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 7}}, "expected_steps": [{"expr_str": "11 ⊕ 7", "result": 8}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 2*a - 1*b
Compute step by step: 1 ⊠ 10
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -8 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 1, "coeffs": [2, 1]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 1}, "right": {"type": "leaf", "value": 10}}, "expected_steps": [{"expr_str": "1 ⊠ 10", "result": -8}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊙ b = 2*a + 2*b + 1
Compute step by step: 9 ⊙ 5
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 29 | 2 | {"operators": [{"symbol": "⊙", "template_idx": 0, "coeffs": [2, 2, 1]}], "expression_tree": {"type": "op", "symbol": "⊙", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 5}}, "expected_steps": [{"expr_str": "9 ⊙ 5", "result": 29}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊘ b = 2*a + 3*b + 1
Compute step by step: 10 ⊘ 4
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 33 | 2 | {"operators": [{"symbol": "⊘", "template_idx": 0, "coeffs": [2, 3, 1]}], "expression_tree": {"type": "op", "symbol": "⊘", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 4}}, "expected_steps": [{"expr_str": "10 ⊘ 4", "result": 33}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊖ b = 2*a + 1*b + 3
Compute step by step: 6 ⊖ 2
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 17 | 2 | {"operators": [{"symbol": "⊖", "template_idx": 0, "coeffs": [2, 1, 3]}], "expression_tree": {"type": "op", "symbol": "⊖", "left": {"type": "leaf", "value": 6}, "right": {"type": "leaf", "value": 2}}, "expected_steps": [{"expr_str": "6 ⊖ 2", "result": 17}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 3*a + 2*b + 2
Compute step by step: 11 ⊠ 4
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 43 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 0, "coeffs": [3, 2, 2]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 4}}, "expected_steps": [{"expr_str": "11 ⊠ 4", "result": 43}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 3*a - 1*b
Compute step by step: 12 ⊠ 4
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 32 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 1, "coeffs": [3, 1]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 12}, "right": {"type": "leaf", "value": 4}}, "expected_steps": [{"expr_str": "12 ⊠ 4", "result": 32}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊜ b = 3*a + 3*b + 1
Compute step by step: 11 ⊜ 2
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 40 | 2 | {"operators": [{"symbol": "⊜", "template_idx": 0, "coeffs": [3, 3, 1]}], "expression_tree": {"type": "op", "symbol": "⊜", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 2}}, "expected_steps": [{"expr_str": "11 ⊜ 2", "result": 40}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 3*a + 3*b + 2
Compute step by step: 7 ⊠ 12
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 59 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 0, "coeffs": [3, 3, 2]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 7}, "right": {"type": "leaf", "value": 12}}, "expected_steps": [{"expr_str": "7 ⊠ 12", "result": 59}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 1*a - 3*b
Compute step by step: 3 ⊠ 12
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -33 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 1, "coeffs": [1, 3]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 3}, "right": {"type": "leaf", "value": 12}}, "expected_steps": [{"expr_str": "3 ⊠ 12", "result": -33}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊘ b = 2*a + 1*b + 3
Compute step by step: 12 ⊘ 11
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 38 | 2 | {"operators": [{"symbol": "⊘", "template_idx": 0, "coeffs": [2, 1, 3]}], "expression_tree": {"type": "op", "symbol": "⊘", "left": {"type": "leaf", "value": 12}, "right": {"type": "leaf", "value": 11}}, "expected_steps": [{"expr_str": "12 ⊘ 11", "result": 38}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊞ b = 3*a + 2*b + 2
Compute step by step: 9 ⊞ 6
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 41 | 2 | {"operators": [{"symbol": "⊞", "template_idx": 0, "coeffs": [3, 2, 2]}], "expression_tree": {"type": "op", "symbol": "⊞", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 6}}, "expected_steps": [{"expr_str": "9 ⊞ 6", "result": 41}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊙ b = 1*a + 3*b + 3
Compute step by step: 2 ⊙ 1
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 8 | 2 | {"operators": [{"symbol": "⊙", "template_idx": 0, "coeffs": [1, 3, 3]}], "expression_tree": {"type": "op", "symbol": "⊙", "left": {"type": "leaf", "value": 2}, "right": {"type": "leaf", "value": 1}}, "expected_steps": [{"expr_str": "2 ⊙ 1", "result": 8}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊗ b = 2*a + 1*b + 2
Compute step by step: 10 ⊗ 6
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 28 | 2 | {"operators": [{"symbol": "⊗", "template_idx": 0, "coeffs": [2, 1, 2]}], "expression_tree": {"type": "op", "symbol": "⊗", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 6}}, "expected_steps": [{"expr_str": "10 ⊗ 6", "result": 28}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊗ b = 3*a - 1*b
Compute step by step: 10 ⊗ 10
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 20 | 2 | {"operators": [{"symbol": "⊗", "template_idx": 1, "coeffs": [3, 1]}], "expression_tree": {"type": "op", "symbol": "⊗", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 10}}, "expected_steps": [{"expr_str": "10 ⊗ 10", "result": 20}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊕ b = 3*a - 1*b
Compute step by step: 4 ⊕ 12
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 0 | 2 | {"operators": [{"symbol": "⊕", "template_idx": 1, "coeffs": [3, 1]}], "expression_tree": {"type": "op", "symbol": "⊕", "left": {"type": "leaf", "value": 4}, "right": {"type": "leaf", "value": 12}}, "expected_steps": [{"expr_str": "4 ⊕ 12", "result": 0}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊙ b = 3*a + 1*b + 2
Compute step by step: 10 ⊙ 4
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 36 | 2 | {"operators": [{"symbol": "⊙", "template_idx": 0, "coeffs": [3, 1, 2]}], "expression_tree": {"type": "op", "symbol": "⊙", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 4}}, "expected_steps": [{"expr_str": "10 ⊙ 4", "result": 36}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊠ b = 2*a - 1*b
Compute step by step: 10 ⊠ 6
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 14 | 2 | {"operators": [{"symbol": "⊠", "template_idx": 1, "coeffs": [2, 1]}], "expression_tree": {"type": "op", "symbol": "⊠", "left": {"type": "leaf", "value": 10}, "right": {"type": "leaf", "value": 6}}, "expected_steps": [{"expr_str": "10 ⊠ 6", "result": 14}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊗ b = 3*a + 2*b + 1
Compute step by step: 1 ⊗ 11
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 26 | 2 | {"operators": [{"symbol": "⊗", "template_idx": 0, "coeffs": [3, 2, 1]}], "expression_tree": {"type": "op", "symbol": "⊗", "left": {"type": "leaf", "value": 1}, "right": {"type": "leaf", "value": 11}}, "expected_steps": [{"expr_str": "1 ⊗ 11", "result": 26}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊡ b = 2*a + 3*b + 3
Compute step by step: 9 ⊡ 12
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 57 | 2 | {"operators": [{"symbol": "⊡", "template_idx": 0, "coeffs": [2, 3, 3]}], "expression_tree": {"type": "op", "symbol": "⊡", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 12}}, "expected_steps": [{"expr_str": "9 ⊡ 12", "result": 57}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊛ b = 2*a + 2*b + 2
Compute step by step: 9 ⊛ 3
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 26 | 2 | {"operators": [{"symbol": "⊛", "template_idx": 0, "coeffs": [2, 2, 2]}], "expression_tree": {"type": "op", "symbol": "⊛", "left": {"type": "leaf", "value": 9}, "right": {"type": "leaf", "value": 3}}, "expected_steps": [{"expr_str": "9 ⊛ 3", "result": 26}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊜ b = 2*a + 1*b + 3
Compute step by step: 8 ⊜ 9
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 28 | 2 | {"operators": [{"symbol": "⊜", "template_idx": 0, "coeffs": [2, 1, 3]}], "expression_tree": {"type": "op", "symbol": "⊜", "left": {"type": "leaf", "value": 8}, "right": {"type": "leaf", "value": 9}}, "expected_steps": [{"expr_str": "8 ⊜ 9", "result": 28}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊕ b = 2*a - 2*b
Compute step by step: 7 ⊕ 7
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 0 | 2 | {"operators": [{"symbol": "⊕", "template_idx": 1, "coeffs": [2, 2]}], "expression_tree": {"type": "op", "symbol": "⊕", "left": {"type": "leaf", "value": 7}, "right": {"type": "leaf", "value": 7}}, "expected_steps": [{"expr_str": "7 ⊕ 7", "result": 0}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊘ b = 3*a + 3*b + 3
Compute step by step: 7 ⊘ 1
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 27 | 2 | {"operators": [{"symbol": "⊘", "template_idx": 0, "coeffs": [3, 3, 3]}], "expression_tree": {"type": "op", "symbol": "⊘", "left": {"type": "leaf", "value": 7}, "right": {"type": "leaf", "value": 1}}, "expected_steps": [{"expr_str": "7 ⊘ 1", "result": 27}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊙ b = 1*a - 2*b
Compute step by step: 11 ⊙ 11
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -11 | 2 | {"operators": [{"symbol": "⊙", "template_idx": 1, "coeffs": [1, 2]}], "expression_tree": {"type": "op", "symbol": "⊙", "left": {"type": "leaf", "value": 11}, "right": {"type": "leaf", "value": 11}}, "expected_steps": [{"expr_str": "11 ⊙ 11", "result": -11}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊛ b = 3*a - 3*b
Compute step by step: 1 ⊛ 5
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | -12 | 2 | {"operators": [{"symbol": "⊛", "template_idx": 1, "coeffs": [3, 3]}], "expression_tree": {"type": "op", "symbol": "⊛", "left": {"type": "leaf", "value": 1}, "right": {"type": "leaf", "value": 5}}, "expected_steps": [{"expr_str": "1 ⊛ 5", "result": -12}]} |
Below are definitions of new mathematical operators.
Definitions:
a ⊜ b = 3*a + 2*b + 1
Compute step by step: 3 ⊜ 5
Show each intermediate computation on its own line in the format:
<operand> <operator> <operand> = <expansion> = <result>
Then write your final answer as: Answer: <number> | 20 | 2 | {"operators": [{"symbol": "⊜", "template_idx": 0, "coeffs": [3, 2, 1]}], "expression_tree": {"type": "op", "symbol": "⊜", "left": {"type": "leaf", "value": 3}, "right": {"type": "leaf", "value": 5}}, "expected_steps": [{"expr_str": "3 ⊜ 5", "result": 20}]} |
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