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[
{
"role": "user",
"content": "Evaluate: ((6 × 3) + (2 × 3)) ÷ (4 + 4)\n\nOptions: a) 8, b) 3, c) -7, d) 2\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 × 3) + (2 × 3)) ÷ (4 + 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 18 + ( 2 × 3 ) ) ÷ ( 4 + 4 )\n\nStep 2: Solve brackets\n Expression becomes: ( 18 + 6 ) ÷ ( 4 + 4 )\n\nStep 3: Solve brackets\n Expression becomes: 24 ÷ ( 4 + 4 )\n\nStep 4: Solve brackets\n Expression becomes: 24 ÷ 8\n\nStep 5: Perform division (left to right)\n - 24 ÷ 8 = 3\n\nFinal answer: 3\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 5 × ((2 × 5) ÷ 2) + 3 ^ 2\n\nOptions: a) 34, b) 68, c) 32, d) 36\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 5 × ((2 × 5) ÷ 2) + 3 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 5 × ( 10 ÷ 2 ) + 3 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 5 × 5 + 3 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 5 × 5 + 9\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 25 + 9\n\nStep 5: Perform addition\n - 25 + 9 = 34\n\nFinal answer: 34\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((3 + 1) × 4) ÷ 2 + (2 × 3)\n\nOptions: a) 24, b) -14, c) 14, d) 13\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((3 + 1) × 4) ÷ 2 + (2 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 4 × 4 ) ÷ 2 + ( 2 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 16 ÷ 2 + ( 2 × 3 )\n\nStep 3: Solve brackets\n Expression becomes: 16 ÷ 2 + 6\n\nStep 4: Perform division (left to right)\n Expression becomes: 8 + 6\n\nStep 5: Perform addition\n - 8 + 6 = 14\n\nFinal answer: 14\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 + 4) × 3) ÷ 5 + (4 × 3)\n\nOptions: a) 18, b) 9, c) -18, d) 23\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 + 4) × 3) ÷ 5 + (4 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 10 × 3 ) ÷ 5 + ( 4 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 30 ÷ 5 + ( 4 × 3 )\n\nStep 3: Solve brackets\n Expression becomes: 30 ÷ 5 + 12\n\nStep 4: Perform division (left to right)\n Expression becomes: 6 + 12\n\nStep 5: Perform addition\n - 6 + 12 = 18\n\nFinal answer: 18\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 5 × ((2 × 2) ÷ 5) + 1 ^ 2\n\nOptions: a) 6, b) 10, c) 5, d) 3\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 5 × ((2 × 2) ÷ 5) + 1 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 5 × ( 4 ÷ 5 ) + 1 ^ 2\n\nStep 2: Calculate exponents\n Expression becomes: 5 × ( 4 ÷ 5 ) + 1\n\nFinal answer: 5\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((3 × 2) + (4 × 3)) ÷ (1 + 2)\n\nOptions: a) 6, b) 4, c) -4, d) 5\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((3 × 2) + (4 × 3)) ÷ (1 + 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 + ( 4 × 3 ) ) ÷ ( 1 + 2 )\n\nStep 2: Solve brackets\n Expression becomes: ( 6 + 12 ) ÷ ( 1 + 2 )\n\nStep 3: Solve brackets\n Expression becomes: 18 ÷ ( 1 + 2 )\n\nStep 4: Solve brackets\n Expression becomes: 18 ÷ 3\n\nStep 5: Perform division (left to right)\n - 18 ÷ 3 = 6\n\nFinal answer: 6\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 × 1) + (2 × 6)) ÷ (2 + 4)\n\nOptions: a) 3, b) 6, c) 5, d) 1\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 × 1) + (2 × 6)) ÷ (2 + 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 + ( 2 × 6 ) ) ÷ ( 2 + 4 )\n\nStep 2: Solve brackets\n Expression becomes: ( 6 + 12 ) ÷ ( 2 + 4 )\n\nStep 3: Solve brackets\n Expression becomes: 18 ÷ ( 2 + 4 )\n\nStep 4: Solve brackets\n Expression becomes: 18 ÷ 6\n\nStep 5: Perform division (left to right)\n - 18 ÷ 6 = 3\n\nFinal answer: 3\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 × 4) + (2 × 2)) ÷ (1 + 3)\n\nOptions: a) 8, b) 7, c) 12, d) -3\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 × 4) + (2 × 2)) ÷ (1 + 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 24 + ( 2 × 2 ) ) ÷ ( 1 + 3 )\n\nStep 2: Solve brackets\n Expression becomes: ( 24 + 4 ) ÷ ( 1 + 3 )\n\nStep 3: Solve brackets\n Expression becomes: 28 ÷ ( 1 + 3 )\n\nStep 4: Solve brackets\n Expression becomes: 28 ÷ 4\n\nStep 5: Perform division (left to right)\n - 28 ÷ 4 = 7\n\nFinal answer: 7\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 6 × ((4 × 3) ÷ 3) + 2 ^ 2\n\nOptions: a) 18, b) 28, c) 27, d) 29\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 6 × ((4 × 3) ÷ 3) + 2 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 6 × ( 12 ÷ 3 ) + 2 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 6 × 4 + 2 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 6 × 4 + 4\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 24 + 4\n\nStep 5: Perform addition\n - 24 + 4 = 28\n\nFinal answer: 28\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((3 + 4) × 4) ÷ 4 + (2 × 3)\n\nOptions: a) 6, b) 13, c) 18, d) 23\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((3 + 4) × 4) ÷ 4 + (2 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 7 × 4 ) ÷ 4 + ( 2 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 28 ÷ 4 + ( 2 × 3 )\n\nStep 3: Solve brackets\n Expression becomes: 28 ÷ 4 + 6\n\nStep 4: Perform division (left to right)\n Expression becomes: 7 + 6\n\nStep 5: Perform addition\n - 7 + 6 = 13\n\nFinal answer: 13\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 + 3) × 2) ÷ 2 + (4 × 4)\n\nOptions: a) 30, b) 25, c) 35, d) 27\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 + 3) × 2) ÷ 2 + (4 × 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 9 × 2 ) ÷ 2 + ( 4 × 4 )\n\nStep 2: Solve brackets\n Expression becomes: 18 ÷ 2 + ( 4 × 4 )\n\nStep 3: Solve brackets\n Expression becomes: 18 ÷ 2 + 16\n\nStep 4: Perform division (left to right)\n Expression becomes: 9 + 16\n\nStep 5: Perform addition\n - 9 + 16 = 25\n\nFinal answer: 25\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((2 × 3) + (4 × 2)) ÷ (3 + 4)\n\nOptions: a) -2, b) 7, c) 0, d) 2\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((2 × 3) + (4 × 2)) ÷ (3 + 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 + ( 4 × 2 ) ) ÷ ( 3 + 4 )\n\nStep 2: Solve brackets\n Expression becomes: ( 6 + 8 ) ÷ ( 3 + 4 )\n\nStep 3: Solve brackets\n Expression becomes: 14 ÷ ( 3 + 4 )\n\nStep 4: Solve brackets\n Expression becomes: 14 ÷ 7\n\nStep 5: Perform division (left to right)\n - 14 ÷ 7 = 2\n\nFinal answer: 2\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((2 + 3) × 4) ÷ 2 + (2 × 4)\n\nOptions: a) -18, b) 18, c) 16, d) 20\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((2 + 3) × 4) ÷ 2 + (2 × 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 5 × 4 ) ÷ 2 + ( 2 × 4 )\n\nStep 2: Solve brackets\n Expression becomes: 20 ÷ 2 + ( 2 × 4 )\n\nStep 3: Solve brackets\n Expression becomes: 20 ÷ 2 + 8\n\nStep 4: Perform division (left to right)\n Expression becomes: 10 + 8\n\nStep 5: Perform addition\n - 10 + 8 = 18\n\nFinal answer: 18\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((5 + 4) × 4) ÷ 3 + (3 × 5)\n\nOptions: a) 26, b) 54, c) 27, d) 28\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((5 + 4) × 4) ÷ 3 + (3 × 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 9 × 4 ) ÷ 3 + ( 3 × 5 )\n\nStep 2: Solve brackets\n Expression becomes: 36 ÷ 3 + ( 3 × 5 )\n\nStep 3: Solve brackets\n Expression becomes: 36 ÷ 3 + 15\n\nStep 4: Perform division (left to right)\n Expression becomes: 12 + 15\n\nStep 5: Perform addition\n - 12 + 15 = 27\n\nFinal answer: 27\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((3 + 4) × 3) ÷ 3 + (1 × 5)\n\nOptions: a) 11, b) 7, c) 22, d) 12\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((3 + 4) × 3) ÷ 3 + (1 × 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 7 × 3 ) ÷ 3 + ( 1 × 5 )\n\nStep 2: Solve brackets\n Expression becomes: 21 ÷ 3 + ( 1 × 5 )\n\nStep 3: Solve brackets\n Expression becomes: 21 ÷ 3 + 5\n\nStep 4: Perform division (left to right)\n Expression becomes: 7 + 5\n\nStep 5: Perform addition\n - 7 + 5 = 12\n\nFinal answer: 12\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((3 × 4) + (3 × 6)) ÷ (1 + 5)\n\nOptions: a) 6, b) 5, c) 3, d) -5\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((3 × 4) + (3 × 6)) ÷ (1 + 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 12 + ( 3 × 6 ) ) ÷ ( 1 + 5 )\n\nStep 2: Solve brackets\n Expression becomes: ( 12 + 18 ) ÷ ( 1 + 5 )\n\nStep 3: Solve brackets\n Expression becomes: 30 ÷ ( 1 + 5 )\n\nStep 4: Solve brackets\n Expression becomes: 30 ÷ 6\n\nStep 5: Perform division (left to right)\n - 30 ÷ 6 = 5\n\nFinal answer: 5\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((4 × 3) + (5 × 4)) ÷ (4 + 4)\n\nOptions: a) 6, b) 14, c) 4, d) -1\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((4 × 3) + (5 × 4)) ÷ (4 + 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 12 + ( 5 × 4 ) ) ÷ ( 4 + 4 )\n\nStep 2: Solve brackets\n Expression becomes: ( 12 + 20 ) ÷ ( 4 + 4 )\n\nStep 3: Solve brackets\n Expression becomes: 32 ÷ ( 4 + 4 )\n\nStep 4: Solve brackets\n Expression becomes: 32 ÷ 8\n\nStep 5: Perform division (left to right)\n - 32 ÷ 8 = 4\n\nFinal answer: 4\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: (6 × 2) ^ 2 ÷ (3 × 3)\n\nOptions: a) 14, b) 18, c) 16, d) 32\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate (6 × 2) ^ 2 ÷ (3 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 12 ^ 2 ÷ ( 3 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 12 ^ 2 ÷ 9\n\nStep 3: Calculate exponents\n Expression becomes: 144 ÷ 9\n\nStep 4: Perform division (left to right)\n - 144 ÷ 9 = 16\n\nFinal answer: 16\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: (5 × 3) ^ 2 ÷ (5 × 3)\n\nOptions: a) 25, b) 15, c) 5, d) 7\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate (5 × 3) ^ 2 ÷ (5 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 15 ^ 2 ÷ ( 5 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 15 ^ 2 ÷ 15\n\nStep 3: Calculate exponents\n Expression becomes: 225 ÷ 15\n\nStep 4: Perform division (left to right)\n - 225 ÷ 15 = 15\n\nFinal answer: 15\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 3 × ((4 × 3) ÷ 4) + 3 ^ 2\n\nOptions: a) 13, b) 17, c) 9, d) 18\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 3 × ((4 × 3) ÷ 4) + 3 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 3 × ( 12 ÷ 4 ) + 3 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 3 × 3 + 3 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 3 × 3 + 9\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 9 + 9\n\nStep 5: Perform addition\n - 9 + 9 = 18\n\nFinal answer: 18\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 4 × ((4 × 4) ÷ 4) + 3 ^ 2\n\nOptions: a) 26, b) 23, c) 12, d) 25\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 4 × ((4 × 4) ÷ 4) + 3 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 4 × ( 16 ÷ 4 ) + 3 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 4 × 4 + 3 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 4 × 4 + 9\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 16 + 9\n\nStep 5: Perform addition\n - 16 + 9 = 25\n\nFinal answer: 25\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((4 + 2) × 4) ÷ 3 + (3 × 2)\n\nOptions: a) 15, b) 12, c) 14, d) 16\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((4 + 2) × 4) ÷ 3 + (3 × 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 × 4 ) ÷ 3 + ( 3 × 2 )\n\nStep 2: Solve brackets\n Expression becomes: 24 ÷ 3 + ( 3 × 2 )\n\nStep 3: Solve brackets\n Expression becomes: 24 ÷ 3 + 6\n\nStep 4: Perform division (left to right)\n Expression becomes: 8 + 6\n\nStep 5: Perform addition\n - 8 + 6 = 14\n\nFinal answer: 14\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((2 + 4) × 3) ÷ 6 + (4 × 5)\n\nOptions: a) 11, b) -23, c) 23, d) 13\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((2 + 4) × 3) ÷ 6 + (4 × 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 × 3 ) ÷ 6 + ( 4 × 5 )\n\nStep 2: Solve brackets\n Expression becomes: 18 ÷ 6 + ( 4 × 5 )\n\nStep 3: Solve brackets\n Expression becomes: 18 ÷ 6 + 20\n\nStep 4: Perform division (left to right)\n Expression becomes: 3 + 20\n\nStep 5: Perform addition\n - 3 + 20 = 23\n\nFinal answer: 23\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((3 + 1) × 3) ÷ 2 + (4 × 5)\n\nOptions: a) 27, b) 24, c) 26, d) 31\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((3 + 1) × 3) ÷ 2 + (4 × 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 4 × 3 ) ÷ 2 + ( 4 × 5 )\n\nStep 2: Solve brackets\n Expression becomes: 12 ÷ 2 + ( 4 × 5 )\n\nStep 3: Solve brackets\n Expression becomes: 12 ÷ 2 + 20\n\nStep 4: Perform division (left to right)\n Expression becomes: 6 + 20\n\nStep 5: Perform addition\n - 6 + 20 = 26\n\nFinal answer: 26\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: (6 × 2) ^ 2 ÷ (3 × 4)\n\nOptions: a) 10, b) -12, c) 22, d) 12\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate (6 × 2) ^ 2 ÷ (3 × 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 12 ^ 2 ÷ ( 3 × 4 )\n\nStep 2: Solve brackets\n Expression becomes: 12 ^ 2 ÷ 12\n\nStep 3: Calculate exponents\n Expression becomes: 144 ÷ 12\n\nStep 4: Perform division (left to right)\n - 144 ÷ 12 = 12\n\nFinal answer: 12\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 6 × ((4 × 5) ÷ 2) + 1 ^ 2\n\nOptions: a) 71, b) 62, c) 61, d) 51\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 6 × ((4 × 5) ÷ 2) + 1 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 6 × ( 20 ÷ 2 ) + 1 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 6 × 10 + 1 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 6 × 10 + 1\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 60 + 1\n\nStep 5: Perform addition\n - 60 + 1 = 61\n\nFinal answer: 61\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 3 × ((4 × 5) ÷ 2) + 4 ^ 2\n\nOptions: a) 56, b) 45, c) 46, d) 47\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 3 × ((4 × 5) ÷ 2) + 4 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 3 × ( 20 ÷ 2 ) + 4 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 3 × 10 + 4 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 3 × 10 + 16\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 30 + 16\n\nStep 5: Perform addition\n - 30 + 16 = 46\n\nFinal answer: 46\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 + 3) × 5) ÷ 5 + (1 × 3)\n\nOptions: a) 17, b) 6, c) 12, d) 22\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 + 3) × 5) ÷ 5 + (1 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 9 × 5 ) ÷ 5 + ( 1 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 45 ÷ 5 + ( 1 × 3 )\n\nStep 3: Solve brackets\n Expression becomes: 45 ÷ 5 + 3\n\nStep 4: Perform division (left to right)\n Expression becomes: 9 + 3\n\nStep 5: Perform addition\n - 9 + 3 = 12\n\nFinal answer: 12\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 5 × ((3 × 4) ÷ 2) + 3 ^ 2\n\nOptions: a) 37, b) 34, c) 44, d) 39\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 5 × ((3 × 4) ÷ 2) + 3 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 5 × ( 12 ÷ 2 ) + 3 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 5 × 6 + 3 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 5 × 6 + 9\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 30 + 9\n\nStep 5: Perform addition\n - 30 + 9 = 39\n\nFinal answer: 39\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((2 × 4) + (2 × 3)) ÷ (4 + 3)\n\nOptions: a) -2, b) 0, c) 2, d) 7\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((2 × 4) + (2 × 3)) ÷ (4 + 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 8 + ( 2 × 3 ) ) ÷ ( 4 + 3 )\n\nStep 2: Solve brackets\n Expression becomes: ( 8 + 6 ) ÷ ( 4 + 3 )\n\nStep 3: Solve brackets\n Expression becomes: 14 ÷ ( 4 + 3 )\n\nStep 4: Solve brackets\n Expression becomes: 14 ÷ 7\n\nStep 5: Perform division (left to right)\n - 14 ÷ 7 = 2\n\nFinal answer: 2\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 × 1) + (2 × 3)) ÷ (3 + 3)\n\nOptions: a) 7, b) -2, c) 2, d) 3\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 × 1) + (2 × 3)) ÷ (3 + 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 + ( 2 × 3 ) ) ÷ ( 3 + 3 )\n\nStep 2: Solve brackets\n Expression becomes: ( 6 + 6 ) ÷ ( 3 + 3 )\n\nStep 3: Solve brackets\n Expression becomes: 12 ÷ ( 3 + 3 )\n\nStep 4: Solve brackets\n Expression becomes: 12 ÷ 6\n\nStep 5: Perform division (left to right)\n - 12 ÷ 6 = 2\n\nFinal answer: 2\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 4 × ((3 × 5) ÷ 3) + 2 ^ 2\n\nOptions: a) 19, b) 26, c) 23, d) 24\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 4 × ((3 × 5) ÷ 3) + 2 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 4 × ( 15 ÷ 3 ) + 2 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 4 × 5 + 2 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 4 × 5 + 4\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 20 + 4\n\nStep 5: Perform addition\n - 20 + 4 = 24\n\nFinal answer: 24\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((4 × 4) + (4 × 2)) ÷ (4 + 4)\n\nOptions: a) 1, b) 3, c) -7, d) 13\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((4 × 4) + (4 × 2)) ÷ (4 + 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 16 + ( 4 × 2 ) ) ÷ ( 4 + 4 )\n\nStep 2: Solve brackets\n Expression becomes: ( 16 + 8 ) ÷ ( 4 + 4 )\n\nStep 3: Solve brackets\n Expression becomes: 24 ÷ ( 4 + 4 )\n\nStep 4: Solve brackets\n Expression becomes: 24 ÷ 8\n\nStep 5: Perform division (left to right)\n - 24 ÷ 8 = 3\n\nFinal answer: 3\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 2 × ((4 × 4) ÷ 2) + 1 ^ 2\n\nOptions: a) 17, b) 34, c) 16, d) 27\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 2 × ((4 × 4) ÷ 2) + 1 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 2 × ( 16 ÷ 2 ) + 1 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 2 × 8 + 1 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 2 × 8 + 1\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 16 + 1\n\nStep 5: Perform addition\n - 16 + 1 = 17\n\nFinal answer: 17\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 4 × ((4 × 3) ÷ 3) + 2 ^ 2\n\nOptions: a) 30, b) 20, c) 22, d) 40\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 4 × ((4 × 3) ÷ 3) + 2 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 4 × ( 12 ÷ 3 ) + 2 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 4 × 4 + 2 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 4 × 4 + 4\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 16 + 4\n\nStep 5: Perform addition\n - 16 + 4 = 20\n\nFinal answer: 20\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((4 + 2) × 2) ÷ 4 + (2 × 3)\n\nOptions: a) 19, b) 9, c) -1, d) 10\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((4 + 2) × 2) ÷ 4 + (2 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 × 2 ) ÷ 4 + ( 2 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 12 ÷ 4 + ( 2 × 3 )\n\nStep 3: Solve brackets\n Expression becomes: 12 ÷ 4 + 6\n\nStep 4: Perform division (left to right)\n Expression becomes: 3 + 6\n\nStep 5: Perform addition\n - 3 + 6 = 9\n\nFinal answer: 9\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((4 + 1) × 3) ÷ 5 + (1 × 2)\n\nOptions: a) 5, b) 4, c) 2, d) 7\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((4 + 1) × 3) ÷ 5 + (1 × 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 5 × 3 ) ÷ 5 + ( 1 × 2 )\n\nStep 2: Solve brackets\n Expression becomes: 15 ÷ 5 + ( 1 × 2 )\n\nStep 3: Solve brackets\n Expression becomes: 15 ÷ 5 + 2\n\nStep 4: Perform division (left to right)\n Expression becomes: 3 + 2\n\nStep 5: Perform addition\n - 3 + 2 = 5\n\nFinal answer: 5\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: (5 × 4) ^ 2 ÷ (2 × 2)\n\nOptions: a) 98, b) 102, c) 110, d) 100\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate (5 × 4) ^ 2 ÷ (2 × 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 20 ^ 2 ÷ ( 2 × 2 )\n\nStep 2: Solve brackets\n Expression becomes: 20 ^ 2 ÷ 4\n\nStep 3: Calculate exponents\n Expression becomes: 400 ÷ 4\n\nStep 4: Perform division (left to right)\n - 400 ÷ 4 = 100\n\nFinal answer: 100\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((5 + 3) × 5) ÷ 5 + (4 × 2)\n\nOptions: a) 17, b) 16, c) 21, d) 18\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((5 + 3) × 5) ÷ 5 + (4 × 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 8 × 5 ) ÷ 5 + ( 4 × 2 )\n\nStep 2: Solve brackets\n Expression becomes: 40 ÷ 5 + ( 4 × 2 )\n\nStep 3: Solve brackets\n Expression becomes: 40 ÷ 5 + 8\n\nStep 4: Perform division (left to right)\n Expression becomes: 8 + 8\n\nStep 5: Perform addition\n - 8 + 8 = 16\n\nFinal answer: 16\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 + 1) × 4) ÷ 2 + (4 × 4)\n\nOptions: a) -30, b) 30, c) 29, d) 40\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 + 1) × 4) ÷ 2 + (4 × 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 7 × 4 ) ÷ 2 + ( 4 × 4 )\n\nStep 2: Solve brackets\n Expression becomes: 28 ÷ 2 + ( 4 × 4 )\n\nStep 3: Solve brackets\n Expression becomes: 28 ÷ 2 + 16\n\nStep 4: Perform division (left to right)\n Expression becomes: 14 + 16\n\nStep 5: Perform addition\n - 14 + 16 = 30\n\nFinal answer: 30\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: (4 × 3) ^ 2 ÷ (2 × 4)\n\nOptions: a) 20, b) 18, c) 8, d) 28\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate (4 × 3) ^ 2 ÷ (2 × 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 12 ^ 2 ÷ ( 2 × 4 )\n\nStep 2: Solve brackets\n Expression becomes: 12 ^ 2 ÷ 8\n\nStep 3: Calculate exponents\n Expression becomes: 144 ÷ 8\n\nStep 4: Perform division (left to right)\n - 144 ÷ 8 = 18\n\nFinal answer: 18\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 × 4) + (5 × 4)) ÷ (2 + 2)\n\nOptions: a) 6, b) 21, c) 11, d) 1\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 × 4) + (5 × 4)) ÷ (2 + 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 24 + ( 5 × 4 ) ) ÷ ( 2 + 2 )\n\nStep 2: Solve brackets\n Expression becomes: ( 24 + 20 ) ÷ ( 2 + 2 )\n\nStep 3: Solve brackets\n Expression becomes: 44 ÷ ( 2 + 2 )\n\nStep 4: Solve brackets\n Expression becomes: 44 ÷ 4\n\nStep 5: Perform division (left to right)\n - 44 ÷ 4 = 11\n\nFinal answer: 11\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: (3 × 3) ^ 2 ÷ (3 × 3)\n\nOptions: a) 8, b) 7, c) 19, d) 9\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate (3 × 3) ^ 2 ÷ (3 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 9 ^ 2 ÷ ( 3 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 9 ^ 2 ÷ 9\n\nStep 3: Calculate exponents\n Expression becomes: 81 ÷ 9\n\nStep 4: Perform division (left to right)\n - 81 ÷ 9 = 9\n\nFinal answer: 9\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((2 × 3) + (5 × 6)) ÷ (4 + 5)\n\nOptions: a) 9, b) 4, c) -1, d) -6\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((2 × 3) + (5 × 6)) ÷ (4 + 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 + ( 5 × 6 ) ) ÷ ( 4 + 5 )\n\nStep 2: Solve brackets\n Expression becomes: ( 6 + 30 ) ÷ ( 4 + 5 )\n\nStep 3: Solve brackets\n Expression becomes: 36 ÷ ( 4 + 5 )\n\nStep 4: Solve brackets\n Expression becomes: 36 ÷ 9\n\nStep 5: Perform division (left to right)\n - 36 ÷ 9 = 4\n\nFinal answer: 4\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((4 + 2) × 2) ÷ 6 + (1 × 3)\n\nOptions: a) 3, b) 5, c) 4, d) 0\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((4 + 2) × 2) ÷ 6 + (1 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 × 2 ) ÷ 6 + ( 1 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 12 ÷ 6 + ( 1 × 3 )\n\nStep 3: Solve brackets\n Expression becomes: 12 ÷ 6 + 3\n\nStep 4: Perform division (left to right)\n Expression becomes: 2 + 3\n\nStep 5: Perform addition\n - 2 + 3 = 5\n\nFinal answer: 5\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 × 3) + (4 × 3)) ÷ (4 + 2)\n\nOptions: a) 6, b) 5, c) 4, d) 2\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 × 3) + (4 × 3)) ÷ (4 + 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 18 + ( 4 × 3 ) ) ÷ ( 4 + 2 )\n\nStep 2: Solve brackets\n Expression becomes: ( 18 + 12 ) ÷ ( 4 + 2 )\n\nStep 3: Solve brackets\n Expression becomes: 30 ÷ ( 4 + 2 )\n\nStep 4: Solve brackets\n Expression becomes: 30 ÷ 6\n\nStep 5: Perform division (left to right)\n - 30 ÷ 6 = 5\n\nFinal answer: 5\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: (4 × 3) ^ 2 ÷ (2 × 2)\n\nOptions: a) 37, b) 18, c) 36, d) 35\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate (4 × 3) ^ 2 ÷ (2 × 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 12 ^ 2 ÷ ( 2 × 2 )\n\nStep 2: Solve brackets\n Expression becomes: 12 ^ 2 ÷ 4\n\nStep 3: Calculate exponents\n Expression becomes: 144 ÷ 4\n\nStep 4: Perform division (left to right)\n - 144 ÷ 4 = 36\n\nFinal answer: 36\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((2 + 2) × 5) ÷ 5 + (2 × 4)\n\nOptions: a) 24, b) 12, c) 6, d) 10\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((2 + 2) × 5) ÷ 5 + (2 × 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 4 × 5 ) ÷ 5 + ( 2 × 4 )\n\nStep 2: Solve brackets\n Expression becomes: 20 ÷ 5 + ( 2 × 4 )\n\nStep 3: Solve brackets\n Expression becomes: 20 ÷ 5 + 8\n\nStep 4: Perform division (left to right)\n Expression becomes: 4 + 8\n\nStep 5: Perform addition\n - 4 + 8 = 12\n\nFinal answer: 12\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 4 × ((2 × 4) ÷ 2) + 2 ^ 2\n\nOptions: a) 22, b) 20, c) 30, d) 15\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 4 × ((2 × 4) ÷ 2) + 2 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 4 × ( 8 ÷ 2 ) + 2 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 4 × 4 + 2 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 4 × 4 + 4\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 16 + 4\n\nStep 5: Perform addition\n - 16 + 4 = 20\n\nFinal answer: 20\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 2 × ((3 × 4) ÷ 3) + 2 ^ 2\n\nOptions: a) 22, b) 24, c) 12, d) 11\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 2 × ((3 × 4) ÷ 3) + 2 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 2 × ( 12 ÷ 3 ) + 2 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 2 × 4 + 2 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 2 × 4 + 4\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 8 + 4\n\nStep 5: Perform addition\n - 8 + 4 = 12\n\nFinal answer: 12\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((3 + 2) × 3) ÷ 5 + (1 × 5)\n\nOptions: a) 8, b) 18, c) 3, d) 6\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((3 + 2) × 3) ÷ 5 + (1 × 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 5 × 3 ) ÷ 5 + ( 1 × 5 )\n\nStep 2: Solve brackets\n Expression becomes: 15 ÷ 5 + ( 1 × 5 )\n\nStep 3: Solve brackets\n Expression becomes: 15 ÷ 5 + 5\n\nStep 4: Perform division (left to right)\n Expression becomes: 3 + 5\n\nStep 5: Perform addition\n - 3 + 5 = 8\n\nFinal answer: 8\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 + 2) × 4) ÷ 2 + (4 × 4)\n\nOptions: a) 42, b) 37, c) -32, d) 32\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 + 2) × 4) ÷ 2 + (4 × 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 8 × 4 ) ÷ 2 + ( 4 × 4 )\n\nStep 2: Solve brackets\n Expression becomes: 32 ÷ 2 + ( 4 × 4 )\n\nStep 3: Solve brackets\n Expression becomes: 32 ÷ 2 + 16\n\nStep 4: Perform division (left to right)\n Expression becomes: 16 + 16\n\nStep 5: Perform addition\n - 16 + 16 = 32\n\nFinal answer: 32\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((5 + 1) × 4) ÷ 3 + (1 × 4)\n\nOptions: a) 11, b) 14, c) 22, d) 12\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((5 + 1) × 4) ÷ 3 + (1 × 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 × 4 ) ÷ 3 + ( 1 × 4 )\n\nStep 2: Solve brackets\n Expression becomes: 24 ÷ 3 + ( 1 × 4 )\n\nStep 3: Solve brackets\n Expression becomes: 24 ÷ 3 + 4\n\nStep 4: Perform division (left to right)\n Expression becomes: 8 + 4\n\nStep 5: Perform addition\n - 8 + 4 = 12\n\nFinal answer: 12\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((2 × 3) + (3 × 4)) ÷ (1 + 2)\n\nOptions: a) 16, b) 4, c) 6, d) 8\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((2 × 3) + (3 × 4)) ÷ (1 + 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 + ( 3 × 4 ) ) ÷ ( 1 + 2 )\n\nStep 2: Solve brackets\n Expression becomes: ( 6 + 12 ) ÷ ( 1 + 2 )\n\nStep 3: Solve brackets\n Expression becomes: 18 ÷ ( 1 + 2 )\n\nStep 4: Solve brackets\n Expression becomes: 18 ÷ 3\n\nStep 5: Perform division (left to right)\n - 18 ÷ 3 = 6\n\nFinal answer: 6\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 3 × ((4 × 3) ÷ 2) + 3 ^ 2\n\nOptions: a) 29, b) 27, c) -27, d) 17\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 3 × ((4 × 3) ÷ 2) + 3 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 3 × ( 12 ÷ 2 ) + 3 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 3 × 6 + 3 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 3 × 6 + 9\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 18 + 9\n\nStep 5: Perform addition\n - 18 + 9 = 27\n\nFinal answer: 27\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((5 + 4) × 3) ÷ 3 + (1 × 5)\n\nOptions: a) 15, b) 24, c) 19, d) 14\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((5 + 4) × 3) ÷ 3 + (1 × 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 9 × 3 ) ÷ 3 + ( 1 × 5 )\n\nStep 2: Solve brackets\n Expression becomes: 27 ÷ 3 + ( 1 × 5 )\n\nStep 3: Solve brackets\n Expression becomes: 27 ÷ 3 + 5\n\nStep 4: Perform division (left to right)\n Expression becomes: 9 + 5\n\nStep 5: Perform addition\n - 9 + 5 = 14\n\nFinal answer: 14\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 4 × ((1 × 4) ÷ 4) + 1 ^ 2\n\nOptions: a) 3, b) 0, c) 2, d) 5\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 4 × ((1 × 4) ÷ 4) + 1 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 4 × ( 4 ÷ 4 ) + 1 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 4 × 1 + 1 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 4 × 1 + 1\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 4 + 1\n\nStep 5: Perform addition\n - 4 + 1 = 5\n\nFinal answer: 5\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((2 + 2) × 4) ÷ 4 + (4 × 2)\n\nOptions: a) 11, b) 14, c) -12, d) 12\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((2 + 2) × 4) ÷ 4 + (4 × 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 4 × 4 ) ÷ 4 + ( 4 × 2 )\n\nStep 2: Solve brackets\n Expression becomes: 16 ÷ 4 + ( 4 × 2 )\n\nStep 3: Solve brackets\n Expression becomes: 16 ÷ 4 + 8\n\nStep 4: Perform division (left to right)\n Expression becomes: 4 + 8\n\nStep 5: Perform addition\n - 4 + 8 = 12\n\nFinal answer: 12\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((3 × 4) + (2 × 4)) ÷ (3 + 2)\n\nOptions: a) 2, b) 6, c) 4, d) -6\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((3 × 4) + (2 × 4)) ÷ (3 + 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 12 + ( 2 × 4 ) ) ÷ ( 3 + 2 )\n\nStep 2: Solve brackets\n Expression becomes: ( 12 + 8 ) ÷ ( 3 + 2 )\n\nStep 3: Solve brackets\n Expression becomes: 20 ÷ ( 3 + 2 )\n\nStep 4: Solve brackets\n Expression becomes: 20 ÷ 5\n\nStep 5: Perform division (left to right)\n - 20 ÷ 5 = 4\n\nFinal answer: 4\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 × 1) + (2 × 6)) ÷ (2 + 4)\n\nOptions: a) 5, b) 3, c) 1, d) 13\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 × 1) + (2 × 6)) ÷ (2 + 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 + ( 2 × 6 ) ) ÷ ( 2 + 4 )\n\nStep 2: Solve brackets\n Expression becomes: ( 6 + 12 ) ÷ ( 2 + 4 )\n\nStep 3: Solve brackets\n Expression becomes: 18 ÷ ( 2 + 4 )\n\nStep 4: Solve brackets\n Expression becomes: 18 ÷ 6\n\nStep 5: Perform division (left to right)\n - 18 ÷ 6 = 3\n\nFinal answer: 3\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 + 3) × 2) ÷ 2 + (1 × 2)\n\nOptions: a) 11, b) 12, c) 6, d) 5\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 + 3) × 2) ÷ 2 + (1 × 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 9 × 2 ) ÷ 2 + ( 1 × 2 )\n\nStep 2: Solve brackets\n Expression becomes: 18 ÷ 2 + ( 1 × 2 )\n\nStep 3: Solve brackets\n Expression becomes: 18 ÷ 2 + 2\n\nStep 4: Perform division (left to right)\n Expression becomes: 9 + 2\n\nStep 5: Perform addition\n - 9 + 2 = 11\n\nFinal answer: 11\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 4 × ((4 × 3) ÷ 4) + 1 ^ 2\n\nOptions: a) 26, b) 13, c) 15, d) 3\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 4 × ((4 × 3) ÷ 4) + 1 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 4 × ( 12 ÷ 4 ) + 1 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 4 × 3 + 1 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 4 × 3 + 1\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 12 + 1\n\nStep 5: Perform addition\n - 12 + 1 = 13\n\nFinal answer: 13\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((4 + 3) × 3) ÷ 3 + (4 × 5)\n\nOptions: a) -27, b) 27, c) 37, d) 54\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((4 + 3) × 3) ÷ 3 + (4 × 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 7 × 3 ) ÷ 3 + ( 4 × 5 )\n\nStep 2: Solve brackets\n Expression becomes: 21 ÷ 3 + ( 4 × 5 )\n\nStep 3: Solve brackets\n Expression becomes: 21 ÷ 3 + 20\n\nStep 4: Perform division (left to right)\n Expression becomes: 7 + 20\n\nStep 5: Perform addition\n - 7 + 20 = 27\n\nFinal answer: 27\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 × 4) + (4 × 6)) ÷ (1 + 2)\n\nOptions: a) 18, b) 6, c) 16, d) 17\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 × 4) + (4 × 6)) ÷ (1 + 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 24 + ( 4 × 6 ) ) ÷ ( 1 + 2 )\n\nStep 2: Solve brackets\n Expression becomes: ( 24 + 24 ) ÷ ( 1 + 2 )\n\nStep 3: Solve brackets\n Expression becomes: 48 ÷ ( 1 + 2 )\n\nStep 4: Solve brackets\n Expression becomes: 48 ÷ 3\n\nStep 5: Perform division (left to right)\n - 48 ÷ 3 = 16\n\nFinal answer: 16\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 × 4) + (4 × 6)) ÷ (1 + 3)\n\nOptions: a) 10, b) 17, c) 12, d) 2\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 × 4) + (4 × 6)) ÷ (1 + 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 24 + ( 4 × 6 ) ) ÷ ( 1 + 3 )\n\nStep 2: Solve brackets\n Expression becomes: ( 24 + 24 ) ÷ ( 1 + 3 )\n\nStep 3: Solve brackets\n Expression becomes: 48 ÷ ( 1 + 3 )\n\nStep 4: Solve brackets\n Expression becomes: 48 ÷ 4\n\nStep 5: Perform division (left to right)\n - 48 ÷ 4 = 12\n\nFinal answer: 12\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 5 × ((4 × 3) ÷ 6) + 2 ^ 2\n\nOptions: a) 14, b) 4, c) 7, d) 16\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 5 × ((4 × 3) ÷ 6) + 2 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 5 × ( 12 ÷ 6 ) + 2 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 5 × 2 + 2 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 5 × 2 + 4\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 10 + 4\n\nStep 5: Perform addition\n - 10 + 4 = 14\n\nFinal answer: 14\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 2 × ((4 × 4) ÷ 2) + 4 ^ 2\n\nOptions: a) 34, b) 32, c) 22, d) 16\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 2 × ((4 × 4) ÷ 2) + 4 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 2 × ( 16 ÷ 2 ) + 4 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 2 × 8 + 4 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 2 × 8 + 16\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 16 + 16\n\nStep 5: Perform addition\n - 16 + 16 = 32\n\nFinal answer: 32\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: (5 × 3) ^ 2 ÷ (5 × 3)\n\nOptions: a) 25, b) 14, c) 15, d) 10\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate (5 × 3) ^ 2 ÷ (5 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 15 ^ 2 ÷ ( 5 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 15 ^ 2 ÷ 15\n\nStep 3: Calculate exponents\n Expression becomes: 225 ÷ 15\n\nStep 4: Perform division (left to right)\n - 225 ÷ 15 = 15\n\nFinal answer: 15\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 6 × ((4 × 3) ÷ 3) + 3 ^ 2\n\nOptions: a) 32, b) 43, c) 33, d) 23\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 6 × ((4 × 3) ÷ 3) + 3 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 6 × ( 12 ÷ 3 ) + 3 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 6 × 4 + 3 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 6 × 4 + 9\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 24 + 9\n\nStep 5: Perform addition\n - 24 + 9 = 33\n\nFinal answer: 33\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((4 + 1) × 4) ÷ 2 + (3 × 5)\n\nOptions: a) 25, b) 35, c) 23, d) 26\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((4 + 1) × 4) ÷ 2 + (3 × 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 5 × 4 ) ÷ 2 + ( 3 × 5 )\n\nStep 2: Solve brackets\n Expression becomes: 20 ÷ 2 + ( 3 × 5 )\n\nStep 3: Solve brackets\n Expression becomes: 20 ÷ 2 + 15\n\nStep 4: Perform division (left to right)\n Expression becomes: 10 + 15\n\nStep 5: Perform addition\n - 10 + 15 = 25\n\nFinal answer: 25\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((2 + 2) × 5) ÷ 5 + (4 × 3)\n\nOptions: a) 8, b) 11, c) 16, d) 21\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((2 + 2) × 5) ÷ 5 + (4 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 4 × 5 ) ÷ 5 + ( 4 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 20 ÷ 5 + ( 4 × 3 )\n\nStep 3: Solve brackets\n Expression becomes: 20 ÷ 5 + 12\n\nStep 4: Perform division (left to right)\n Expression becomes: 4 + 12\n\nStep 5: Perform addition\n - 4 + 12 = 16\n\nFinal answer: 16\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((5 + 3) × 3) ÷ 2 + (3 × 4)\n\nOptions: a) -24, b) 34, c) 24, d) 19\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((5 + 3) × 3) ÷ 2 + (3 × 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 8 × 3 ) ÷ 2 + ( 3 × 4 )\n\nStep 2: Solve brackets\n Expression becomes: 24 ÷ 2 + ( 3 × 4 )\n\nStep 3: Solve brackets\n Expression becomes: 24 ÷ 2 + 12\n\nStep 4: Perform division (left to right)\n Expression becomes: 12 + 12\n\nStep 5: Perform addition\n - 12 + 12 = 24\n\nFinal answer: 24\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((5 + 3) × 2) ÷ 4 + (3 × 3)\n\nOptions: a) 13, b) 6, c) 3, d) 15\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((5 + 3) × 2) ÷ 4 + (3 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 8 × 2 ) ÷ 4 + ( 3 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 16 ÷ 4 + ( 3 × 3 )\n\nStep 3: Solve brackets\n Expression becomes: 16 ÷ 4 + 9\n\nStep 4: Perform division (left to right)\n Expression becomes: 4 + 9\n\nStep 5: Perform addition\n - 4 + 9 = 13\n\nFinal answer: 13\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((3 + 3) × 5) ÷ 2 + (2 × 5)\n\nOptions: a) 12, b) 27, c) 20, d) 25\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((3 + 3) × 5) ÷ 2 + (2 × 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 × 5 ) ÷ 2 + ( 2 × 5 )\n\nStep 2: Solve brackets\n Expression becomes: 30 ÷ 2 + ( 2 × 5 )\n\nStep 3: Solve brackets\n Expression becomes: 30 ÷ 2 + 10\n\nStep 4: Perform division (left to right)\n Expression becomes: 15 + 10\n\nStep 5: Perform addition\n - 15 + 10 = 25\n\nFinal answer: 25\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((5 × 4) + (5 × 2)) ÷ (2 + 4)\n\nOptions: a) 15, b) 0, c) 5, d) 7\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((5 × 4) + (5 × 2)) ÷ (2 + 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 20 + ( 5 × 2 ) ) ÷ ( 2 + 4 )\n\nStep 2: Solve brackets\n Expression becomes: ( 20 + 10 ) ÷ ( 2 + 4 )\n\nStep 3: Solve brackets\n Expression becomes: 30 ÷ ( 2 + 4 )\n\nStep 4: Solve brackets\n Expression becomes: 30 ÷ 6\n\nStep 5: Perform division (left to right)\n - 30 ÷ 6 = 5\n\nFinal answer: 5\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((4 + 2) × 2) ÷ 2 + (4 × 2)\n\nOptions: a) 16, b) -14, c) 9, d) 14\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((4 + 2) × 2) ÷ 2 + (4 × 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 × 2 ) ÷ 2 + ( 4 × 2 )\n\nStep 2: Solve brackets\n Expression becomes: 12 ÷ 2 + ( 4 × 2 )\n\nStep 3: Solve brackets\n Expression becomes: 12 ÷ 2 + 8\n\nStep 4: Perform division (left to right)\n Expression becomes: 6 + 8\n\nStep 5: Perform addition\n - 6 + 8 = 14\n\nFinal answer: 14\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((5 + 3) × 4) ÷ 2 + (2 × 5)\n\nOptions: a) 52, b) -26, c) 31, d) 26\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((5 + 3) × 4) ÷ 2 + (2 × 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 8 × 4 ) ÷ 2 + ( 2 × 5 )\n\nStep 2: Solve brackets\n Expression becomes: 32 ÷ 2 + ( 2 × 5 )\n\nStep 3: Solve brackets\n Expression becomes: 32 ÷ 2 + 10\n\nStep 4: Perform division (left to right)\n Expression becomes: 16 + 10\n\nStep 5: Perform addition\n - 16 + 10 = 26\n\nFinal answer: 26\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 + 4) × 3) ÷ 3 + (3 × 3)\n\nOptions: a) 19, b) 24, c) -19, d) 29\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 + 4) × 3) ÷ 3 + (3 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 10 × 3 ) ÷ 3 + ( 3 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 30 ÷ 3 + ( 3 × 3 )\n\nStep 3: Solve brackets\n Expression becomes: 30 ÷ 3 + 9\n\nStep 4: Perform division (left to right)\n Expression becomes: 10 + 9\n\nStep 5: Perform addition\n - 10 + 9 = 19\n\nFinal answer: 19\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((3 × 2) + (5 × 3)) ÷ (3 + 4)\n\nOptions: a) 2, b) 6, c) 1, d) 3\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((3 × 2) + (5 × 3)) ÷ (3 + 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 + ( 5 × 3 ) ) ÷ ( 3 + 4 )\n\nStep 2: Solve brackets\n Expression becomes: ( 6 + 15 ) ÷ ( 3 + 4 )\n\nStep 3: Solve brackets\n Expression becomes: 21 ÷ ( 3 + 4 )\n\nStep 4: Solve brackets\n Expression becomes: 21 ÷ 7\n\nStep 5: Perform division (left to right)\n - 21 ÷ 7 = 3\n\nFinal answer: 3\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 5 × ((1 × 3) ÷ 3) + 1 ^ 2\n\nOptions: a) 12, b) 1, c) 5, d) 6\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 5 × ((1 × 3) ÷ 3) + 1 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 5 × ( 3 ÷ 3 ) + 1 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 5 × 1 + 1 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 5 × 1 + 1\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 5 + 1\n\nStep 5: Perform addition\n - 5 + 1 = 6\n\nFinal answer: 6\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((3 × 2) + (2 × 3)) ÷ (1 + 3)\n\nOptions: a) 4, b) 2, c) 3, d) 13\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((3 × 2) + (2 × 3)) ÷ (1 + 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 + ( 2 × 3 ) ) ÷ ( 1 + 3 )\n\nStep 2: Solve brackets\n Expression becomes: ( 6 + 6 ) ÷ ( 1 + 3 )\n\nStep 3: Solve brackets\n Expression becomes: 12 ÷ ( 1 + 3 )\n\nStep 4: Solve brackets\n Expression becomes: 12 ÷ 4\n\nStep 5: Perform division (left to right)\n - 12 ÷ 4 = 3\n\nFinal answer: 3\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((3 × 1) + (2 × 6)) ÷ (2 + 3)\n\nOptions: a) 1, b) -7, c) 2, d) 3\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((3 × 1) + (2 × 6)) ÷ (2 + 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 3 + ( 2 × 6 ) ) ÷ ( 2 + 3 )\n\nStep 2: Solve brackets\n Expression becomes: ( 3 + 12 ) ÷ ( 2 + 3 )\n\nStep 3: Solve brackets\n Expression becomes: 15 ÷ ( 2 + 3 )\n\nStep 4: Solve brackets\n Expression becomes: 15 ÷ 5\n\nStep 5: Perform division (left to right)\n - 15 ÷ 5 = 3\n\nFinal answer: 3\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 × 4) + (2 × 2)) ÷ (2 + 2)\n\nOptions: a) 6, b) 7, c) 17, d) 5\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 × 4) + (2 × 2)) ÷ (2 + 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 24 + ( 2 × 2 ) ) ÷ ( 2 + 2 )\n\nStep 2: Solve brackets\n Expression becomes: ( 24 + 4 ) ÷ ( 2 + 2 )\n\nStep 3: Solve brackets\n Expression becomes: 28 ÷ ( 2 + 2 )\n\nStep 4: Solve brackets\n Expression becomes: 28 ÷ 4\n\nStep 5: Perform division (left to right)\n - 28 ÷ 4 = 7\n\nFinal answer: 7\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((5 + 1) × 4) ÷ 3 + (2 × 5)\n\nOptions: a) 9, b) -18, c) 18, d) 13\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((5 + 1) × 4) ÷ 3 + (2 × 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 × 4 ) ÷ 3 + ( 2 × 5 )\n\nStep 2: Solve brackets\n Expression becomes: 24 ÷ 3 + ( 2 × 5 )\n\nStep 3: Solve brackets\n Expression becomes: 24 ÷ 3 + 10\n\nStep 4: Perform division (left to right)\n Expression becomes: 8 + 10\n\nStep 5: Perform addition\n - 8 + 10 = 18\n\nFinal answer: 18\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: (4 × 4) ^ 2 ÷ (4 × 2)\n\nOptions: a) 16, b) 64, c) 42, d) 32\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate (4 × 4) ^ 2 ÷ (4 × 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 16 ^ 2 ÷ ( 4 × 2 )\n\nStep 2: Solve brackets\n Expression becomes: 16 ^ 2 ÷ 8\n\nStep 3: Calculate exponents\n Expression becomes: 256 ÷ 8\n\nStep 4: Perform division (left to right)\n - 256 ÷ 8 = 32\n\nFinal answer: 32\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((5 + 3) × 4) ÷ 2 + (1 × 2)\n\nOptions: a) 9, b) 13, c) 23, d) 18\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((5 + 3) × 4) ÷ 2 + (1 × 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 8 × 4 ) ÷ 2 + ( 1 × 2 )\n\nStep 2: Solve brackets\n Expression becomes: 32 ÷ 2 + ( 1 × 2 )\n\nStep 3: Solve brackets\n Expression becomes: 32 ÷ 2 + 2\n\nStep 4: Perform division (left to right)\n Expression becomes: 16 + 2\n\nStep 5: Perform addition\n - 16 + 2 = 18\n\nFinal answer: 18\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 5 × ((1 × 4) ÷ 4) + 2 ^ 2\n\nOptions: a) -9, b) 14, c) 11, d) 9\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 5 × ((1 × 4) ÷ 4) + 2 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 5 × ( 4 ÷ 4 ) + 2 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 5 × 1 + 2 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 5 × 1 + 4\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 5 + 4\n\nStep 5: Perform addition\n - 5 + 4 = 9\n\nFinal answer: 9\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((6 × 2) + (4 × 4)) ÷ (2 + 5)\n\nOptions: a) 2, b) 4, c) -1, d) 8\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((6 × 2) + (4 × 4)) ÷ (2 + 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 12 + ( 4 × 4 ) ) ÷ ( 2 + 5 )\n\nStep 2: Solve brackets\n Expression becomes: ( 12 + 16 ) ÷ ( 2 + 5 )\n\nStep 3: Solve brackets\n Expression becomes: 28 ÷ ( 2 + 5 )\n\nStep 4: Solve brackets\n Expression becomes: 28 ÷ 7\n\nStep 5: Perform division (left to right)\n - 28 ÷ 7 = 4\n\nFinal answer: 4\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((4 + 2) × 5) ÷ 5 + (1 × 5)\n\nOptions: a) -11, b) 11, c) 5, d) 9\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((4 + 2) × 5) ÷ 5 + (1 × 5)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 × 5 ) ÷ 5 + ( 1 × 5 )\n\nStep 2: Solve brackets\n Expression becomes: 30 ÷ 5 + ( 1 × 5 )\n\nStep 3: Solve brackets\n Expression becomes: 30 ÷ 5 + 5\n\nStep 4: Perform division (left to right)\n Expression becomes: 6 + 5\n\nStep 5: Perform addition\n - 6 + 5 = 11\n\nFinal answer: 11\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 5 × ((1 × 2) ÷ 2) + 3 ^ 2\n\nOptions: a) 14, b) 4, c) 7, d) 15\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 5 × ((1 × 2) ÷ 2) + 3 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 5 × ( 2 ÷ 2 ) + 3 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 5 × 1 + 3 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 5 × 1 + 9\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 5 + 9\n\nStep 5: Perform addition\n - 5 + 9 = 14\n\nFinal answer: 14\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 4 × ((4 × 3) ÷ 6) + 4 ^ 2\n\nOptions: a) 25, b) 24, c) 34, d) 48\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 4 × ((4 × 3) ÷ 6) + 4 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 4 × ( 12 ÷ 6 ) + 4 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 4 × 2 + 4 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 4 × 2 + 16\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 8 + 16\n\nStep 5: Perform addition\n - 8 + 16 = 24\n\nFinal answer: 24\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 2 × ((2 × 3) ÷ 6) + 2 ^ 2\n\nOptions: a) 7, b) 1, c) -6, d) 6\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 2 × ((2 × 3) ÷ 6) + 2 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 2 × ( 6 ÷ 6 ) + 2 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 2 × 1 + 2 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 2 × 1 + 4\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 2 + 4\n\nStep 5: Perform addition\n - 2 + 4 = 6\n\nFinal answer: 6\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: (6 × 2) ^ 2 ÷ (4 × 4)\n\nOptions: a) -9, b) 4, c) 11, d) 9\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate (6 × 2) ^ 2 ÷ (4 × 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 12 ^ 2 ÷ ( 4 × 4 )\n\nStep 2: Solve brackets\n Expression becomes: 12 ^ 2 ÷ 16\n\nStep 3: Calculate exponents\n Expression becomes: 144 ÷ 16\n\nStep 4: Perform division (left to right)\n - 144 ÷ 16 = 9\n\nFinal answer: 9\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((5 × 2) + (5 × 6)) ÷ (2 + 3)\n\nOptions: a) 10, b) 4, c) 13, d) 8\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((5 × 2) + (5 × 6)) ÷ (2 + 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 10 + ( 5 × 6 ) ) ÷ ( 2 + 3 )\n\nStep 2: Solve brackets\n Expression becomes: ( 10 + 30 ) ÷ ( 2 + 3 )\n\nStep 3: Solve brackets\n Expression becomes: 40 ÷ ( 2 + 3 )\n\nStep 4: Solve brackets\n Expression becomes: 40 ÷ 5\n\nStep 5: Perform division (left to right)\n - 40 ÷ 5 = 8\n\nFinal answer: 8\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: (6 × 1) ^ 2 ÷ (3 × 4)\n\nOptions: a) 13, b) 3, c) 8, d) -2\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate (6 × 1) ^ 2 ÷ (3 × 4)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 6 ^ 2 ÷ ( 3 × 4 )\n\nStep 2: Solve brackets\n Expression becomes: 6 ^ 2 ÷ 12\n\nStep 3: Calculate exponents\n Expression becomes: 36 ÷ 12\n\nStep 4: Perform division (left to right)\n - 36 ÷ 12 = 3\n\nFinal answer: 3\n\nTherefore, the answer is b\n\n<ANSWER>B</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 6 × ((4 × 3) ÷ 6) + 2 ^ 2\n\nOptions: a) 18, b) 17, c) 16, d) 21\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 6 × ((4 × 3) ÷ 6) + 2 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 6 × ( 12 ÷ 6 ) + 2 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 6 × 2 + 2 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 6 × 2 + 4\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 12 + 4\n\nStep 5: Perform addition\n - 12 + 4 = 16\n\nFinal answer: 16\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((5 + 1) × 4) ÷ 3 + (2 × 3)\n\nOptions: a) -14, b) 4, c) 24, d) 14\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((5 + 1) × 4) ÷ 3 + (2 × 3)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 6 × 4 ) ÷ 3 + ( 2 × 3 )\n\nStep 2: Solve brackets\n Expression becomes: 24 ÷ 3 + ( 2 × 3 )\n\nStep 3: Solve brackets\n Expression becomes: 24 ÷ 3 + 6\n\nStep 4: Perform division (left to right)\n Expression becomes: 8 + 6\n\nStep 5: Perform addition\n - 8 + 6 = 14\n\nFinal answer: 14\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: (2 × 4) ^ 2 ÷ (4 × 2)\n\nOptions: a) 9, b) 3, c) 8, d) 10\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate (2 × 4) ^ 2 ÷ (4 × 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 8 ^ 2 ÷ ( 4 × 2 )\n\nStep 2: Solve brackets\n Expression becomes: 8 ^ 2 ÷ 8\n\nStep 3: Calculate exponents\n Expression becomes: 64 ÷ 8\n\nStep 4: Perform division (left to right)\n - 64 ÷ 8 = 8\n\nFinal answer: 8\n\nTherefore, the answer is c\n\n<ANSWER>C</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: ((4 × 2) + (5 × 2)) ÷ (1 + 2)\n\nOptions: a) 6, b) -6, c) 8, d) 1\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate ((4 × 2) + (5 × 2)) ÷ (1 + 2)\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: ( 8 + ( 5 × 2 ) ) ÷ ( 1 + 2 )\n\nStep 2: Solve brackets\n Expression becomes: ( 8 + 10 ) ÷ ( 1 + 2 )\n\nStep 3: Solve brackets\n Expression becomes: 18 ÷ ( 1 + 2 )\n\nStep 4: Solve brackets\n Expression becomes: 18 ÷ 3\n\nStep 5: Perform division (left to right)\n - 18 ÷ 3 = 6\n\nFinal answer: 6\n\nTherefore, the answer is a\n\n<ANSWER>A</ANSWER>"
}
] |
[
{
"role": "user",
"content": "Evaluate: 3 × ((2 × 4) ÷ 2) + 2 ^ 2\n\nOptions: a) 26, b) 11, c) 17, d) 16\n\nPlease provide your answer in <ANSWER> </ANSWER> tags. e.g., <ANSWER>A</ANSWER> or <ANSWER>B</ANSWER> or <ANSWER>C</ANSWER> or <ANSWER>D</ANSWER>."
},
{
"role": "assistant",
"content": "Problem: Evaluate 3 × ((2 × 4) ÷ 2) + 2 ^ 2\n\nFollowing PEMDAS order (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):\n\nStep 1: Solve brackets\n Expression becomes: 3 × ( 8 ÷ 2 ) + 2 ^ 2\n\nStep 2: Solve brackets\n Expression becomes: 3 × 4 + 2 ^ 2\n\nStep 3: Calculate exponents\n Expression becomes: 3 × 4 + 4\n\nStep 4: Perform multiplication (left to right)\n Expression becomes: 12 + 4\n\nStep 5: Perform addition\n - 12 + 4 = 16\n\nFinal answer: 16\n\nTherefore, the answer is d\n\n<ANSWER>D</ANSWER>"
}
] |
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