messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -6, -1, -8, 7],\n [-7, 5, -6, 8, -6],\n [8, 0, -6, -4, 0]]\nB =\n[[-4, -3, 4],\n [-3, -5, -2],\n [-7, -7, -8],\n [5, -6, -7],\n [-7, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 300 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -4, 6, 8, -4],\n [-7, -6, -8, 5, 2],\n [-4, 1, 4, 7, 8],\n [-1, -2, 8, 1, 5],\n [7, -1, 8, 3, -5]]\nB =\n[[0, 4, 1],\n [2, 7, 8],\n [2, 4, -3],\n [-2, 0, 7],\n [-1, 1, -6]]\n\nPresent the answer in LaTex f... | 417 | MATH |
[
{
"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[4, 3, 8, 4, -4],\n [0, -7, -8, -4, -2],\n [-7, 2, -4, 6, 4]]\nB =\n[[-7, -8, 6, 0, 2],\n [-1, 5, -6, -8, 2],\n [0, 8, -4, 2, 4],\n [-4, 5, -7, -7, 4],\n [-4, 7, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Yo... | 39 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -8, -7],\n [-2, 5, -1],\n [6, 7, 5]]\nB =\n[[-5, 3, -3, 8, -2],\n [-5, 8, 2, 6, 2],\n [-6, 1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 694 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 5, 4],\n [-3, 6, 2],\n [8, 7, -8],\n [-4, 5, -3]]\nB =\n[[6, 1, 3, -8],\n [-8, 1, -1, -7],\n [-6, -6, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -343 | MATH |
[
{
"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-5, 7, 3, -6, 7],\n [8, 8, -8, 2, -5],\n [-5, -4, -4, 5, -3]]\nB =\n[[-5, -2, 1, 2, 2],\n [-5, -7, -6, 7, 3],\n [7, 1, 2, -4, 8],\n [2, -7, 4, 8, 1],\n [0, -3, -3, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Yo... | 43 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -6, -6, 6],\n [-5, -1, 6, -2],\n [1, 1, 8, -8]]\nB =\n[[-2, 1, 2, -3, -6],\n [-6, -4, 4, 7, 3],\n [6, 5, -5, 2, 3],\n [-5, -7, 6, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 88 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 0, 8],\n [4, 1, -2],\n [1, -1, -4]]\nB =\n[[-6, 4, 6, -7],\n [6, 8, 1, -1],\n [4, -8, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 340 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -1, -2, 3],\n [7, 2, 1, -2],\n [8, 0, -7, 5],\n [-8, -8, -4, -1]]\nB =\n[[-6, -7, 7, 7, -4],\n [-4, 4, 3, -1, 3],\n [-4, -7, -7, -1, -6],\n [-7, 2, 3, 2, 2]]\n\nPresent the answer in LaTex format:... | 1018 | MATH |
[
{
"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[6, 5, -7, 7, 4],\n [-3, 6, 6, -3, 0],\n [6, -4, -4, 4, -8],\n [4, 5, -2, -5, 3],\n [-8, 1, 6, -3, -1]]\nB =\n[[4, -4, -3, -4],\n [2, 1, -2, 6],\n [2, -3, 2, 8],\n [2, 5, 0, 3],\n [8, -1, -2, 0]]\n\nPresent the an... | -33 | MATH |
[
{
"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[3, -1, 5],\n [-7, 6, -1],\n [7, 6, 4],\n [-1, -8, 7],\n [-2, 6, 3]]\nB =\n[[-4, -5, -2],\n [-3, 1, 6],\n [3, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-2, -6, 1],\n [2, 5, -8],\n [-8, -6, 8],\n [6, -4, 6],\n [8, 3, -8]]\nB =\n[[3, 5, -3],\n [4, -1, 4],\n [5, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -5 | MATH |
[
{
"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[-3, 3, 1, 8],\n [-2, 2, -6, -7],\n [-7, -2, -8, 3],\n [-6, 6, -7, -8],\n [3, 4, -5, -3]]\nB =\n[[-6, -1, -1],\n [3, 1, 5],\n [5, 8, -5],\n [2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 48 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 3, 0, 1, 6],\n [0, 1, 2, 6, -8],\n [0, -7, -3, -1, -7],\n [-6, -7, -7, -5, 7]]\nB =\n[[-3, 1, 0],\n [-3, -3, -1],\n [-7, 6, -6],\n [2, 5, 6],\n [3, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your ... | 117 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -4, -2],\n [-8, -4, -1],\n [-8, 3, -1]]\nB =\n[[0, -1, -2, -4],\n [8, 3, 0, -2],\n [-7, 8, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 6, -2],\n [-3, 7, 7],\n [-3, 3, 0],\n [-2, -5, 3]]\nB =\n[[4, -2, 5],\n [-3, 3, 5],\n [2, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 281 | MATH |
[
{
"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[-6, -2, 3, -2, 1],\n [-5, 8, -2, 5, 2],\n [3, -5, 8, 3, -5],\n [0, -2, 1, -3, -2]]\nB =\n[[-4, 5, 6, 1, 0],\n [4, 3, 5, 8, -6],\n [-3, 0, 6, -7, -8],\n [-3, -7, 0, -8, -1],\n [-8, 7, 7, 3, 1]]\n\nPresent the answ... | 5 | MATH |
[
{
"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-6, 7, -6, 1],\n [-8, -3, -6, 6],\n [7, 5, 6, -7],\n [3, -5, -4, 5],\n [4, -8, 3, -6]]\nB =\n[[0, -8, -7],\n [6, 4, 4],\n [8, -6, 6],\n [-6, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 12 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 6, 2, -6],\n [-6, 2, 0, -2],\n [4, 2, -4, 3],\n [7, -4, -8, -3],\n [1, 0, 6, -7]]\nB =\n[[6, 7, 5, -4],\n [-8, 0, 0, -7],\n [2, -1, -2, 3],\n [-5, 5, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | -150 | MATH |
[
{
"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-7, 3, 4],\n [-6, -1, -1],\n [0, 4, 3],\n [4, 1, -3]]\nB =\n[[8, 7, 4, 7, 2],\n [4, 6, 0, 4, -1],\n [-1, -4, -5, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 2, 2, -6, 5],\n [-8, -7, 4, 0, 7],\n [-6, 8, 3, -7, 3]]\nB =\n[[4, -3, 3, -6, -7],\n [4, -7, -1, -8, -6],\n [8, 7, -7, -5, -6],\n [3, -3, -2, -6, 8],\n [-8, -4, -7, 2, -7]]\n\nPresent the answer in LaTex format: \\bo... | -270 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 4, 3, 5, 5],\n [-8, 5, 0, -1, 3],\n [-8, 3, 0, 3, 4]]\nB =\n[[3, -5, 4, 1, -2],\n [-5, -5, 6, 3, 2],\n [-1, 3, -3, -6, -4],\n [-7, -6, 6, -4, 1],\n [8, -3, -7, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Yo... | -140 | MATH |
[
{
"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-4, -3, -6, -2],\n [5, 6, -4, -3],\n [8, -1, 2, 6],\n [3, 1, 1, 4]]\nB =\n[[-8, -1, 2],\n [-7, -7, 7],\n [5, -4, -5],\n [-2, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -46 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, 8, 4, 6],\n [6, -6, 7, 2, -4],\n [-3, 3, 4, 8, 4],\n [-7, -2, -2, 0, 3]]\nB =\n[[-7, 3, -1, 1, 1],\n [-7, 0, 8, 7, 4],\n [-4, -6, 1, -7, 5],\n [-2, -4, 4, -6, 6],\n [7, -1, -3, 4, 0]]\n\nPresent the answer in La... | -191 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -7, -6],\n [-6, 3, 2],\n [-2, 7, -5],\n [1, 1, -6]]\nB =\n[[4, -3, 1],\n [-4, 2, 8],\n [-3, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 410 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[7, 7, -8, -2],\n [2, 7, -8, 5],\n [8, 7, 7, -1],\n [-8, 6, -8, 4]]\nB =\n[[-8, 5, 6, 1, -1],\n [-8, 5, 3, 4, 2],\n [-7, -5, -2, -2, 2],\n [6, 4, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{... | 96 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -4, -7, -4, 6],\n [-7, -6, 1, -8, -6],\n [-6, 8, -4, 8, 5],\n [-8, -2, -6, -4, -4]]\nB =\n[[2, 6, 0],\n [-4, -7, 2],\n [-8, -8, -7],\n [-5, -1, -3],\n [-6, 6, -8]]\n\nPresent the answer in LaTex format: \\box... | 356 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -5, 1, -2],\n [5, -2, -6, 3],\n [-6, 2, -2, -7],\n [-6, -4, -7, 6]]\nB =\n[[2, -4, 8, -5],\n [7, -6, -4, 6],\n [7, 6, -7, 3],\n [1, -2, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -165 | MATH |
[
{
"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, -7, -5, 7, 2],\n [-7, 5, -5, 8, 2],\n [3, 5, -2, 7, -3]]\nB =\n[[-6, 4, -3],\n [7, -6, -1],\n [7, -1, -8],\n [-5, 6, 1],\n [-1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 105 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -8, -5],\n [1, -7, -3],\n [3, -8, 5],\n [5, 5, 8],\n [6, -3, 7]]\nB =\n[[3, -2, 7, 1],\n [-7, 0, -7, -6],\n [2, 5, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 786 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -6, 0],\n [-3, 5, 0],\n [-2, -7, 6]]\nB =\n[[5, 0, 7, 3, -3],\n [-3, -8, -8, 5, -4],\n [4, -3, -1, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 550 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -8, -4],\n [-3, -3, 2],\n [5, -6, 1],\n [-3, 3, 2]]\nB =\n[[2, 8, 7, -6, 6],\n [-1, 2, 7, 0, -7],\n [-5, -7, 4, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 588 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 8, 0],\n [-1, -6, 2],\n [-7, 7, 0],\n [-3, -4, -8],\n [-8, -3, -1]]\nB =\n[[4, -8, -6],\n [-7, 5, 6],\n [-2, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 170 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -2, 0, -7],\n [-8, -1, 4, -8],\n [-3, -6, -3, 0],\n [1, -7, -8, 4]]\nB =\n[[4, 7, -2, 8, -4],\n [-6, 4, 6, 3, -3],\n [2, 6, -1, 5, -3],\n [-3, 7, 3, -7, -2]]\n\nPresent the answer in LaTex format: ... | 769 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 3, -7, 4, -5],\n [5, -1, 8, 0, 0],\n [-5, 6, 0, -3, -6]]\nB =\n[[8, 5, 7],\n [-8, -2, -1],\n [-2, 7, 5],\n [-1, 0, 2],\n [5, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your ans... | 398 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 5, 3],\n [-7, 8, 2],\n [7, -7, -3],\n [-8, -8, -8]]\nB =\n[[1, 2, -8],\n [2, 2, -4],\n [8, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 353 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 7, 3],\n [-5, -4, -1],\n [6, -5, -7]]\nB =\n[[-1, -8, -6, 8],\n [4, 5, -4, -2],\n [1, -1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -35 | MATH |
[
{
"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, 0, 0, -5],\n [-5, 7, 0, -1],\n [7, -2, 0, -7],\n [6, 0, -5, 7]]\nB =\n[[-6, -3, 2, -2],\n [5, -6, 4, -8],\n [8, 5, -8, -4],\n [3, -1, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 32 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 4, 1],\n [-2, -7, 1],\n [4, -5, -3],\n [0, 7, 6],\n [-5, 2, -2]]\nB =\n[[6, -4, 6],\n [5, 2, -8],\n [1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 408 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 2, 7],\n [-1, 8, 0],\n [-3, 5, -7],\n [8, -2, 1]]\nB =\n[[0, 6, 2, 1],\n [-6, 2, -5, 5],\n [-3, -3, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 479 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, 8, -2, 3],\n [8, -5, 5, 0],\n [-7, -5, -8, 8]]\nB =\n[[7, 6, 2],\n [7, 0, 4],\n [5, 7, 4],\n [2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 49 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 4, -2, -8],\n [5, -2, 5, -1, -3],\n [-7, -3, 3, 4, 2],\n [-5, 4, -2, 7, -5]]\nB =\n[[0, 2, -4, -3, -4],\n [-2, 3, 8, 5, -5],\n [5, 4, -7, 2, 2],\n [-1, 0, 0, 8, -3],\n [3, 5, -8, 5, -6]... | 691 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 4, -4],\n [-4, -5, 6],\n [2, -3, -2],\n [7, 7, -1],\n [-6, -4, 3]]\nB =\n[[1, -5, 1, 0, 5],\n [7, 0, -3, -2, 5],\n [3, -1, -7, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -29 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -7, -6, -2],\n [8, 6, 2, 3],\n [-7, 6, -2, -4]]\nB =\n[[-2, -6, 7, -1],\n [-7, 1, 3, -4],\n [2, -3, -3, -7],\n [-8, -8, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 654 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-1, 8, 7, 2],\n [3, -3, -7, 1],\n [-4, 7, 2, 5]]\nB =\n[[-4, 2, 8],\n [1, -1, 8],\n [1, -3, 6],\n [5, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 29 | MATH |
[
{
"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[0, 3, 7, -2],\n [-7, 3, 0, 3],\n [-2, 3, -5, -4],\n [-6, -2, -3, -6]]\nB =\n[[-3, -6, 7],\n [7, -5, 6],\n [6, 0, 8],\n [-4, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 1, -4, -2],\n [4, -3, 3, 4],\n [-5, 3, 0, -8],\n [3, 0, 0, 6],\n [-3, -8, -1, -5]]\nB =\n[[-1, -6, -4, 1],\n [-5, 0, -7, -2],\n [8, 2, 0, 1],\n [2, 7, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 51 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -4, -4, -6],\n [5, -3, -8, -6],\n [-4, -6, 7, 3]]\nB =\n[[3, 3, 8, -4, 8],\n [-2, -2, 4, -6, -4],\n [7, -3, 1, -8, 7],\n [-6, 0, -7, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 579 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 7, -7, 0],\n [-8, -5, 8, -2],\n [7, 1, 1, 0]]\nB =\n[[6, -6, -8, 2, 6],\n [-5, -2, 6, 2, 6],\n [-4, -4, -7, -7, 6],\n [6, 5, 3, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | -49 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -1, 6, -5, 4],\n [7, -4, -4, 6, -4],\n [-8, 2, 6, 6, 1],\n [4, 3, -8, 2, -8],\n [6, 3, 1, -2, -4]]\nB =\n[[0, -1, -6, 0],\n [-4, -2, -5, -3],\n [-7, 8, -8, 3],\n [-6, -4, -7, -4],\n [-7, 0, 0, -1]]\n\nPresent the ans... | -126 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 6, 7, -4, -6],\n [3, -8, 5, -7, 0],\n [-8, 5, -3, 8, -6]]\nB =\n[[1, -3, -2, -1],\n [8, 0, 8, 2],\n [6, 0, 4, 7],\n [-6, -2, -3, -5],\n [3, 7, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{... | 611 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -7, 3, 0],\n [-7, -8, -4, 1],\n [-3, -4, -6, 0],\n [7, 6, 2, 5]]\nB =\n[[-3, -6, 7, 4, -7],\n [8, -6, -3, 0, 8],\n [-6, 3, -1, -1, -4],\n [-4, -7, 2, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answ... | -44 | MATH |
[
{
"content": "What is the value at position (5, 3) when matrix A is multiplied by matrix B?\nA =\n[[-2, 8, -5, 3],\n [6, -4, 1, -8],\n [-5, -4, -7, -3],\n [2, 8, -7, -1],\n [4, -3, 1, -5]]\nB =\n[[-8, 5, 0, 4, 7],\n [4, 1, 5, 6, -5],\n [1, -6, 3, 1, 4],\n [-1, 5, 4, 4, -7]]\n\nPresent the answer in LaTex format... | -32 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 1, -8],\n [-8, 5, 4],\n [3, -8, 7]]\nB =\n[[-3, 0, 6, 8],\n [-6, 1, 3, 7],\n [3, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -59 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 6, -8, 4],\n [-5, 7, 8, 6],\n [-2, 3, -3, -8],\n [-5, -2, 2, 0],\n [-1, -7, 6, -1]]\nB =\n[[-8, 8, 5, 2],\n [5, -8, -3, -2],\n [0, -6, 7, -1],\n [-1, 3, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your an... | -98 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -8, -5],\n [6, -8, 3],\n [2, 8, 8]]\nB =\n[[-5, -1, 5, -4],\n [-2, -5, 3, -2],\n [-1, 1, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 77 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[4, -1, 6],\n [-5, 7, 2],\n [-8, 7, -5],\n [1, 5, 6]]\nB =\n[[-4, 4, -5, -3],\n [-8, -7, 2, 1],\n [-6, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -80 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 0, -2, 1],\n [-4, 7, 2, -6],\n [3, 6, -2, 5],\n [-4, -7, 3, 4]]\nB =\n[[-1, -3, 8, -1, -8],\n [1, 8, -2, -5, -8],\n [-3, -7, 1, 8, 2],\n [5, -5, -1, -1, 2]]\n\nPresent the answer in LaTex format: ... | 723 | MATH |
[
{
"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[0, 6, -3, -5, 4],\n [-4, 3, 1, 5, -5],\n [-4, 4, -7, -7, 7]]\nB =\n[[-6, 4, -2],\n [-3, 7, 1],\n [2, 0, 5],\n [4, 6, -1],\n [7, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | -16 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 5, -2, -1],\n [-8, 3, -5, -3],\n [1, 6, -1, 0],\n [-6, 8, -7, -3],\n [0, -8, 8, -8]]\nB =\n[[2, -6, 7, -1],\n [-2, 6, 3, -7],\n [1, -7, -1, 3],\n [-1, -4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your an... | 38 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 1, -3, 0],\n [2, -6, 2, 8],\n [-6, 2, 5, 4]]\nB =\n[[3, -2, 5, 0, -7],\n [3, -7, -7, -5, -7],\n [-5, -3, 0, 3, -8],\n [-7, -8, 5, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | -82 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 4, 2, 1, 3],\n [5, 2, -6, -1, 5],\n [6, 2, 7, -1, -2]]\nB =\n[[-4, -1, -1, 1, -7],\n [1, -4, 6, -7, -2],\n [3, 3, 2, 6, -2],\n [2, 8, -8, -8, 0],\n [5, 7, 5, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your... | -72 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -8, -1],\n [4, 1, -5],\n [7, 4, 5],\n [-6, 6, -6]]\nB =\n[[-8, -3, -7],\n [3, 4, 5],\n [1, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -101 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -5, 6, 1, 6],\n [-3, -7, 0, -1, 4],\n [-6, 8, -1, 0, 4],\n [-4, 1, 5, -1, 4]]\nB =\n[[1, 0, -6],\n [-3, 4, 6],\n [-1, 1, -2],\n [-5, -2, -5],\n [-3, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | -228 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -7, 8, 1, 3],\n [0, 6, 7, -5, -7],\n [-1, 6, 5, 2, -1],\n [-1, -2, -7, 8, 2]]\nB =\n[[-3, -2, -1, 7],\n [0, 2, 4, 6],\n [-1, -7, -2, 8],\n [-1, -2, 8, 1],\n [-3, -2, -5, 1]]\n\nPresent the answer ... | 668 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 6, -2, 2, 8],\n [7, -6, -7, -8, 5],\n [-6, -8, -8, 5, -4]]\nB =\n[[4, 4, 5, -4, 8],\n [-7, -2, 0, -8, -8],\n [3, -7, 7, 3, -1],\n [-2, 7, 7, 3, 0],\n [-8, 7, 4, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{... | 137 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 3, -7],\n [8, 5, -5],\n [-5, -7, 5]]\nB =\n[[1, 2, -3, 5, 8],\n [-2, -8, 7, 2, 1],\n [7, 1, 8, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -130 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 8, -4, -6],\n [8, 2, -2, 0],\n [4, 4, 3, -3],\n [2, -5, -4, 8],\n [-5, 0, -5, -7]]\nB =\n[[-1, 4, -5],\n [-5, 8, -1],\n [5, -6, 5],\n [4, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | -40 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -1, -6, -8],\n [-7, -5, -2, -8],\n [0, -4, -1, 6]]\nB =\n[[0, 1, 4],\n [5, 8, -1],\n [7, -1, -3],\n [-6, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 281 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -2, 8],\n [-1, -2, 5],\n [4, -2, 4],\n [5, 3, 5],\n [-6, 3, 3]]\nB =\n[[-5, 2, -2, -6, -6],\n [2, -8, -1, -5, 4],\n [-5, -6, 5, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | -51 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 2, -2, -5, -7],\n [8, -8, -7, 7, 2],\n [-6, -3, 8, 2, 2],\n [7, -5, -3, 3, 3],\n [0, 8, -5, -7, -7]]\nB =\n[[3, -3, -6],\n [7, 7, -1],\n [8, -3, -3],\n [5, -7, 0],\n [-6, 0, -3]]\n\nPresent the answer in LaTex format: \\boxe... | -99 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -8, -5],\n [0, -4, 4],\n [8, -5, 7],\n [2, 3, 5],\n [0, -7, 1]]\nB =\n[[8, 4, -7, 2, 5],\n [-1, 8, 6, 7, 4],\n [-5, -1, 8, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | -564 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 0, -5, 6, -4],\n [8, -3, 2, -4, -7],\n [3, 8, 4, -6, -2],\n [-2, 0, -7, 0, 5],\n [-2, -3, 8, -7, -6]]\nB =\n[[6, 6, 1, -3, 5],\n [6, -8, 5, 4, -3],\n [-6, -8, 7, -8, -6],\n [-2, -4, 6, -1, -4],\n [6, 3, 1, 4... | -77 | MATH |
[
{
"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-6, 7, 5, -6],\n [4, 3, -2, 6],\n [2, -3, 4, 3],\n [-6, -4, -6, 2],\n [6, -2, -3, 4]]\nB =\n[[7, 2, -1],\n [1, 4, -5],\n [0, -7, -4],\n [-4, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -54 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -2, 1, -6],\n [0, 3, 5, -3],\n [-4, 0, 7, -3],\n [0, 6, 5, 3]]\nB =\n[[7, -8, 0],\n [-2, 7, -7],\n [7, 5, -7],\n [8, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 49 | MATH |
[
{
"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, -3],\n [-4, -4, 8],\n [4, 8, 5]]\nB =\n[[5, 3, 4, 6],\n [6, -8, -4, -7],\n [2, 1, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -47 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 7, -8, -5, 1],\n [-7, -8, -4, -4, 0],\n [2, 3, -8, -6, 0],\n [-6, -4, -2, -6, -6],\n [3, -4, -7, -8, 4]]\nB =\n[[3, -4, 5, -6, -7],\n [0, -4, -1, -1, 4],\n [8, 2, -1, -5, -2],\n [-4, 8, 4, ... | 943 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[4, 4, -3],\n [8, 3, -1],\n [5, -5, 8],\n [2, 8, 8],\n [5, 8, -2]]\nB =\n[[0, 0, -2, -6, -7],\n [-8, 6, -6, 3, -6],\n [-2, -1, -1, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -56 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 4, 7, 6, -5],\n [0, -6, 6, -4, -8],\n [-7, 5, 1, -7, -7],\n [7, -3, 1, -1, 2],\n [6, 5, 7, -2, 8]]\nB =\n[[-4, -7, -4, -2],\n [-8, -5, -7, -3],\n [7, 5, 7, -6],\n [5, 4, 1, -5],\n [-5, -6, -2, 5]]\n\nPresent the answe... | 7 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -2, -8],\n [-6, -5, 8],\n [0, -7, 6],\n [8, -6, 7]]\nB =\n[[0, -7, 2],\n [3, 5, -1],\n [-4, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -73 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -1, -8, -8, -7],\n [6, -1, 8, -3, -7],\n [-4, -7, -4, 7, 7]]\nB =\n[[-2, 4, -8, 0],\n [3, 7, -2, -1],\n [1, -4, 8, -6],\n [-6, -5, 8, -6],\n [-6, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{You... | 24 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 0, 0, 8, 3],\n [-3, 6, 5, -8, -3],\n [3, -6, -3, -8, -6],\n [8, 6, 2, -1, -4],\n [-3, -3, 5, -8, 3]]\nB =\n[[-1, -6, 2, 0, -2],\n [4, -2, 7, -8, 7],\n [3, -1, 1, -6, 0],\n [-7, 5, 2, -2, -3],\n [-4, 8, -4... | 1234 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 5, 4, -8, -2],\n [4, 3, 1, 1, 3],\n [5, -3, -3, 4, -4]]\nB =\n[[-2, -5, 3, -5],\n [-7, -5, 3, -8],\n [8, -1, -5, -2],\n [-1, -5, 5, 0],\n [-3, 7, 4, 2]]\n\nPresent the answer in LaTex format: \\b... | 355 | MATH |
[
{
"content": "Compute the value at position (3, 5) of the product matrix AB given:\nA =\n[[-2, 4, 0, 1],\n [0, -1, 8, 6],\n [-5, -6, -8, 2],\n [5, -1, 8, 4]]\nB =\n[[-7, -5, -3, -2, 6],\n [1, 5, -6, 0, 6],\n [8, 8, -1, 0, 0],\n [5, 7, 0, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | -56 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -7, 7, -5],\n [-7, -1, 3, -1],\n [-7, 7, -1, 5],\n [4, 0, -7, 8],\n [-1, 2, 5, 0]]\nB =\n[[-7, -6, 2, -5],\n [2, -1, -5, 0],\n [2, 6, 8, 0],\n [-1, 8, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your ans... | 284 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -6, 4, 5, -6],\n [4, -8, 0, -8, 8],\n [-3, 3, -7, -3, -2],\n [1, 7, -3, 6, -8],\n [5, 2, 3, -6, 2]]\nB =\n[[2, -3, 6],\n [-7, -5, 1],\n [1, -2, -5],\n [-4, -2, 1],\n [8, -7, -8]]\n\nPresent the answer in LaTex format: \\box... | 122 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -1, 8, -8],\n [2, -4, -4, -1],\n [-6, 5, -8, 6]]\nB =\n[[0, -5, 0, -7, 0],\n [-6, -6, 8, 0, 3],\n [5, -3, 4, -6, 1],\n [-4, -3, -6, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | -4 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -7, -4],\n [-2, 7, -8],\n [-4, -2, -8],\n [7, 4, -1]]\nB =\n[[-2, 2, 2, -3, 7],\n [6, -3, 2, -4, 6],\n [-2, -3, 6, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | 113 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 7, 2, 3, 8],\n [8, 7, 5, 2, 1],\n [-8, 2, -5, -8, -7],\n [-3, -2, 1, -7, 8]]\nB =\n[[-7, -4, 4],\n [-5, 3, -1],\n [8, 5, -2],\n [-8, -6, -6],\n [-1, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answe... | 98 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -6, -4],\n [-3, 8, -5],\n [5, -8, -3],\n [3, 6, -3],\n [7, -3, -2]]\nB =\n[[1, 1, 2, -1],\n [4, 0, -4, 7],\n [7, 2, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -84 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -3, -1, 7, 3],\n [6, -2, -6, 1, 8],\n [6, -1, 4, -2, 1],\n [-7, -5, -3, -7, -7],\n [1, -3, -3, -5, -4]]\nB =\n[[6, -1, -6],\n [-4, 7, -3],\n [4, 7, -3],\n [-6, 8, -1],\n [-5, 1, -6]]\n\nPresent the ... | 787 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -7, 8, 1],\n [-6, 6, 7, -5],\n [3, -5, 8, -3],\n [2, 4, -4, 7],\n [7, 3, -7, -4]]\nB =\n[[4, -1, 2, -3],\n [8, 3, 7, -4],\n [2, 6, 7, -1],\n [1, 0, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 196 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 8, -3],\n [-7, 7, 4],\n [1, 6, 2]]\nB =\n[[3, -3, 8, 6, -4],\n [-3, -4, 2, 2, 1],\n [6, 4, -2, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 433 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 8, -6, 6, 4],\n [-2, 4, 0, 0, 4],\n [5, 4, 4, -3, 3]]\nB =\n[[-7, -1, 5, 8],\n [-1, 2, 7, 2],\n [4, 3, -5, 3],\n [0, 5, 5, -2],\n [-7, -1, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 46 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-2, 1, 3, -3, -7],\n [5, 8, 0, -8, 3],\n [6, -6, -6, -4, -1],\n [7, 2, 5, 7, -1],\n [0, 4, -6, 5, -7]]\nB =\n[[6, -4, 3, -6, -7],\n [-7, 8, 3, -5, 7],\n [3, -7, 4, 4, 1],\n [-3, -6, 4, -7, 6],\n [1, -6, -5... | 32 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -8, 7],\n [5, 3, -4],\n [-6, 2, 7],\n [-7, 6, 3]]\nB =\n[[4, -7, -4, 7, -7],\n [-3, -4, 7, 8, 1],\n [1, 2, -1, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 722 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -7, 1],\n [-2, -1, -7],\n [3, 6, -1],\n [-2, -2, 7],\n [-8, 1, 5]]\nB =\n[[4, -3, -3, -6, -5],\n [0, 1, 1, 1, 1],\n [-8, -2, -6, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 109 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -4, -1],\n [7, -8, -6],\n [-3, -4, 8],\n [8, -1, 6],\n [6, -5, 2]]\nB =\n[[-4, -7, -6, -6, 6],\n [0, -2, -7, 8, -2],\n [3, 6, 8, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -6 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -6, 6],\n [1, -3, 7],\n [-7, -1, -3]]\nB =\n[[4, -1, 3, -7, -6],\n [7, 0, 5, 6, 4],\n [0, -2, 5, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 517 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-1, 1, -8, 3],\n [1, 4, -4, 4],\n [3, 2, 1, 7],\n [3, -5, 6, -3]]\nB =\n[[2, 3, 2, -3, 4],\n [0, -3, 7, -2, 3],\n [0, 8, -7, 3, -3],\n [1, 3, -5, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{You... | 6 | MATH |
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