messages
listlengths 1
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| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-3, 10, -2, 2, -7],\n [-2, 6, 1, 6, -9],\n [-6, 3, -4, 4, -4],\n [8, -4, -10, -8, -6]]\nB =\n[[7, 3, -9, -9],\n [0, -10, -6, 8],\n [-7, -8, 10, -5],\n [0, 3, -7, -2],\n [5, 8, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-128
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 8, 0, -6, 6, -3],\n [-8, 1, -3, -5, 2, 9],\n [-4, 8, 1, 6, -4, -1],\n [-10, 6, -4, -3, 5, -6]]\nB =\n[[-3, -2, 7, 3, 5, 2],\n [1, 9, -2, -10, 0, 6],\n [0, -4, -4, 4, -7, -9],\n [-7, 3, 2, -2, 0, -10],\n [-2, -2, 8, -10, -6, 9],\n [8, 1, -10, 5, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
51
|
MATH
|
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -5, 5, 3],\n [-9, -1, -10, -10],\n [6, 3, 5, -7],\n [-3, 1, -7, 1],\n [-8, -4, -8, 7]]\nB =\n[[-3, 0, 6, 0, -3],\n [-5, 9, -10, 8, -2],\n [-8, -9, -1, -2, 6],\n [-1, -4, 10, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
83
|
MATH
|
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -5, 8, -1, 9],\n [6, 1, 1, -5, 2],\n [2, 1, -7, -2, -1],\n [-4, 9, -5, 10, -3]]\nB =\n[[6, -7, 10, -3, 4],\n [3, 2, 8, 2, 6],\n [5, -9, -6, -6, 10],\n [-3, 4, -10, -4, -3],\n [7, 5, -5, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
129
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 10, -3, 10, 9],\n [10, 1, 0, -4, 5],\n [1, -8, 1, 6, -5],\n [4, -6, 3, 2, -1],\n [-3, 5, 2, 6, 9]]\nB =\n[[-6, 5, 3, 1, -5, 9],\n [6, 3, 4, -5, -4, -4],\n [6, -5, 3, 4, -3, 7],\n [-7, 9, 9, 1, -10, -10],\n [-5, 4, -1, -6, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
61
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -3, -10, -6, -1, -6],\n [1, 2, -10, 10, -7, -1],\n [8, 7, 5, -9, -1, -7],\n [-7, -4, 8, -10, 10, -5],\n [-10, -1, 8, 10, 8, -9]]\nB =\n[[10, -7, -3, 4, 2, -2],\n [-9, -6, 8, 6, 5, 7],\n [-7, 0, -2, 3, -10, -1],\n [8, 0, -4, -7, -7, -7],\n [9, 4, -7, 6, -6, -4],\n [-7, 3, 1, -8, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2353
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[7, 4, 3, 5, 0],\n [7, 7, -6, -4, 6],\n [-7, 5, -1, 0, -5],\n [7, 10, -10, 3, -8],\n [-5, 9, 0, 0, 8],\n [8, 9, -8, 8, 2]]\nB =\n[[6, 5, 8, 7],\n [5, 3, 2, 10],\n [10, 1, -5, -4],\n [5, 10, -5, -9],\n [6, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
173
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, -3, 2, 6],\n [-3, -5, -6, 10],\n [-7, 9, -4, -9],\n [8, -3, -7, 4],\n [-4, -8, 6, 4],\n [-6, 3, 9, -4]]\nB =\n[[8, -9, -10, 5, -10, 10],\n [8, -1, -4, -4, -6, -7],\n [-10, -1, 5, 6, -6, -4],\n [6, -6, 8, -10, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-139
|
MATH
|
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 2, 1, -7, -3, 5],\n [-7, 10, -5, 6, -5, -2],\n [7, 7, 4, 2, 9, 10],\n [-6, 0, 2, -6, 8, 1],\n [3, 3, -7, -7, -10, 3]]\nB =\n[[2, -5, -5, -4],\n [3, 5, -9, -10],\n [4, -2, -7, -6],\n [9, -9, 2, 6],\n [2, 6, -6, 3],\n [-1, -8, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-475
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-3, 8, 0, -4, -4, 10],\n [3, -7, 4, -5, -6, 6],\n [-9, -9, -8, 7, 2, 1],\n [8, -10, 6, -4, -10, 4],\n [-2, -2, 3, 3, 3, 8]]\nB =\n[[-5, -7, 1, 3, -10, -3],\n [-4, 2, 10, 0, 4, 5],\n [7, 4, -6, 0, -9, 1],\n [-10, 9, -9, -1, -8, 0],\n [-1, 2, 7, 2, -6, 6],\n [-7, 6, -8, -2, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -9, 9, 7, -5],\n [9, 1, -2, 9, 8],\n [0, -3, -8, 1, 5],\n [7, -7, 0, 8, -5],\n [2, 10, 2, 6, -1]]\nB =\n[[-5, 10, 1, 10],\n [-1, -4, 5, 9],\n [4, 9, 3, -8],\n [-7, 10, 0, 10],\n [9, -7, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
457
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -1, -3, 2, -3],\n [5, -6, -8, -1, -10],\n [-4, -8, 5, -9, 10],\n [-10, -5, 2, -2, -8],\n [0, -6, 2, 6, -3],\n [-1, 3, 3, 4, 10]]\nB =\n[[-8, 10, 9, 0],\n [6, -3, 7, -2],\n [-10, 6, -8, -3],\n [2, 2, -10, -6],\n [-10, -5, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-229
|
MATH
|
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 6, 0, -4, 3, 6],\n [2, 0, 5, 4, 5, -9],\n [0, 7, 2, 1, 5, 6],\n [-1, -6, -5, -1, -7, 3],\n [-2, 7, 9, -5, 2, 1]]\nB =\n[[-1, 5, -8, -2],\n [8, 9, -1, 6],\n [4, 8, 0, 0],\n [4, -5, -6, 10],\n [9, 8, -6, 10],\n [-3, 3, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
528
|
MATH
|
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -6, -4, 8, 1, 2],\n [-3, -7, -3, 4, 10, 4],\n [-6, 10, -8, -4, -4, 5],\n [6, 7, -4, -10, -10, 3]]\nB =\n[[8, -7, -9, -3],\n [-1, 5, 8, -5],\n [-10, -2, 9, 9],\n [-5, 7, -4, 2],\n [3, -4, 0, 8],\n [-1, -1, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-206
|
MATH
|
[
{
"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, 1, -4, -1, -4, 7],\n [0, -1, 9, 1, 1, 3],\n [0, -2, 7, -8, 4, -1],\n [0, -4, -7, 2, 8, 2],\n [0, -6, -1, -6, 8, -4],\n [6, -2, -7, 6, -9, -2]]\nB =\n[[9, -9, -10, 2],\n [3, -5, 0, -6],\n [8, -2, -1, 8],\n [8, -5, 2, 10],\n [1, 6, 0, -4],\n [-2, -2, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
60
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, 2, -10, -5],\n [4, -2, -9, 10, -5],\n [5, -5, 4, -4, 10],\n [-9, -4, 0, -10, -2],\n [-7, -7, -7, 3, 7],\n [6, -6, -9, 1, 7]]\nB =\n[[-8, 2, -9, -3, -2],\n [10, 1, -8, 10, 5],\n [8, -3, 6, 8, 0],\n [5, -8, 5, 4, -6],\n [7, 4, 4, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1541
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 8, 5, 8, 3, 4],\n [2, 3, 4, 0, 1, 6],\n [-10, -1, 3, 8, 6, -1],\n [-7, -2, -8, -9, -10, 0],\n [-8, -10, -10, 6, 7, 7]]\nB =\n[[-2, -10, 9, 9],\n [-7, 2, 9, -7],\n [-4, -10, 4, -4],\n [-4, 7, -1, -4],\n [-5, -2, 2, 2],\n [-1, 4, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-257
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[8, -9, 5, 7],\n [-7, 8, 1, 7],\n [-6, -4, 4, -3],\n [6, 1, 8, -4],\n [10, -5, -9, 9],\n [-3, -3, 7, -7]]\nB =\n[[-6, -4, -1, 5, -6],\n [0, -8, -7, 4, -3],\n [6, 5, 1, -3, -7],\n [-7, -3, -10, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-67
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 9, 7, 8],\n [7, -7, 9, 0],\n [5, 4, -4, -8],\n [0, 2, 5, 3],\n [1, -5, -10, -7],\n [7, -8, -6, -2]]\nB =\n[[-3, 6, 10, 2, -5],\n [-2, 5, -9, 1, -6],\n [9, 5, -10, 7, 9],\n [-2, 2, -6, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2057
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-5, 2, -9, 10],\n [2, 8, -7, -4],\n [8, -8, -1, -9],\n [-6, -2, -3, -2]]\nB =\n[[9, 9, -7, -3],\n [-3, -10, 10, -8],\n [9, -4, 4, -4],\n [5, -3, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[8, 0, -8, 10],\n [3, -6, 2, -1],\n [10, 8, -9, 7],\n [10, -7, 3, -9],\n [-3, -7, -8, -3]]\nB =\n[[-8, -6, 3, -8, 4],\n [10, 2, -7, -4, -9],\n [10, -10, 0, -8, -9],\n [5, -9, -8, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
111
|
MATH
|
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -5, 2, 4, 10],\n [-8, 4, -8, -5, -2],\n [-2, -3, 3, -3, 9],\n [-3, 9, 5, 4, 8],\n [1, -8, 4, 4, 2],\n [2, 6, -2, 1, 2]]\nB =\n[[-7, 3, 8, 7, 2, 2],\n [-2, -9, -10, 0, 1, 5],\n [5, -7, 8, 1, 4, -1],\n [8, -4, 9, 2, 5, -5],\n [-2, -1, 9, -5, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-401
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -10, -8, 6, -8, -8],\n [-2, 5, 0, 5, -1, -5],\n [-10, -4, 5, 6, -6, 6],\n [7, -4, 3, -5, -8, 2]]\nB =\n[[5, 0, 4, 0],\n [3, -8, 7, -3],\n [1, -4, -2, 7],\n [1, -9, 0, -1],\n [-9, 8, -6, -1],\n [-10, -5, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
986
|
MATH
|
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -1, -3, 4, -9, -7],\n [-2, 4, -9, 5, 5, 2],\n [10, -8, 10, -8, 0, -7],\n [-2, 1, -6, -2, -4, -1],\n [-10, -10, -3, 6, 7, -9],\n [-5, 9, 4, -9, 3, -5]]\nB =\n[[8, -5, -2, 4, -10, -7],\n [2, -7, 0, -10, -3, 6],\n [-7, 9, 1, -8, 8, -6],\n [7, 1, -2, 3, 4, -1],\n [-6, -1, 1, 1, 10, -4],\n [-9, -3, -4, 3, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2232
|
MATH
|
[
{
"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[-2, -4, 8, 10, 10, 10],\n [-5, 7, -4, 3, 2, 1],\n [-4, 3, 10, 1, 2, 7],\n [-5, -3, 2, 2, 3, -8]]\nB =\n[[-6, 1, 0, 3, 4, 9],\n [2, -2, -8, 10, -3, 4],\n [7, 2, 4, -4, -9, -7],\n [-1, -7, 2, 6, 3, -4],\n [-5, -10, 3, -3, -8, -1],\n [8, 6, 10, -9, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-168
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[7, -5, -10, -4, -9, -7],\n [10, -9, -6, -8, 1, 5],\n [7, 10, -6, -10, -2, 10],\n [9, 6, -6, 6, -5, 7]]\nB =\n[[-6, 3, 4, 9, -5],\n [0, -9, -2, 9, 5],\n [9, 10, 1, 5, -6],\n [-10, 2, -3, -7, -3],\n [-9, -7, 5, 3, -4],\n [0, -2, -3, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 4, -5, 6, -6],\n [-10, -8, -7, 3, 5],\n [-8, 5, 6, 4, 2],\n [4, -2, 9, -7, -2],\n [4, -7, -1, -9, 8],\n [6, 9, 7, 10, -5]]\nB =\n[[-4, 3, 4, -4],\n [7, -10, 8, -9],\n [3, 7, -4, 6],\n [-8, 10, -4, -10],\n [10, 0, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1279
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 2, 8, -1, 4],\n [5, 0, -5, 3, 10],\n [0, 0, 1, -9, -9],\n [4, 2, 2, 5, 1],\n [-2, -2, -5, 10, -7]]\nB =\n[[6, -4, 9, -3, 8, 7],\n [6, -4, 9, 8, 6, -9],\n [-1, -4, -3, 8, -3, 2],\n [3, 1, 4, 3, 2, -10],\n [-7, -7, 2, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1512
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -6, -1, -7, 9],\n [10, -6, 0, 10, -2],\n [8, -10, -3, -2, 7],\n [9, -1, 8, 7, 7],\n [2, -2, 10, -7, -7],\n [4, -1, -10, -2, -1]]\nB =\n[[4, 0, 10, -9, -2],\n [-6, 6, 1, -8, -9],\n [-5, 10, 6, 3, 0],\n [-7, 7, -1, 2, 9],\n [-6, 8, -6, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
487
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 7, 5, -8, -3, -10],\n [-4, -4, 9, -10, -9, -6],\n [7, -4, -8, 8, 5, -1],\n [-5, 3, 2, 10, 6, -5]]\nB =\n[[9, -6, 0, -5],\n [-7, 9, 0, 0],\n [-3, 4, -6, -7],\n [-1, 8, 6, -8],\n [8, 5, -8, -6],\n [-10, -10, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1249
|
MATH
|
[
{
"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[4, 6, -3, 7, 9, -3],\n [-8, 0, -1, -6, -5, -5],\n [0, 7, 7, 2, 0, -6],\n [1, -3, 4, -6, -2, -6]]\nB =\n[[8, 0, 6, -5, 1],\n [-1, 6, -10, -1, 2],\n [8, -10, -9, -4, 7],\n [-10, -9, 9, -4, 10],\n [4, -8, 9, 3, -7],\n [-3, -7, 7, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-157
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -8, -4, 9, 3],\n [-9, 5, 5, -5, -4],\n [-3, -6, 8, -4, 9],\n [3, 5, 3, 8, 10],\n [9, -5, 8, 7, 8]]\nB =\n[[3, -1, 2, 5, -1, -9],\n [1, 5, 2, 7, 4, 4],\n [10, 8, -10, 2, -1, -10],\n [-8, 0, 3, 10, -5, 9],\n [-7, 4, 1, 3, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-202
|
MATH
|
[
{
"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[0, -2, 3, 3, 0, -8],\n [-3, -4, 6, 7, 6, -10],\n [-3, -2, -7, 8, 3, 5],\n [7, 2, -3, 1, 2, 3],\n [1, 8, 6, 10, 8, -7],\n [7, 7, 9, 10, -6, 8]]\nB =\n[[-7, -8, -7, 0, 0],\n [10, -6, 8, -9, 5],\n [2, 10, -8, -5, -8],\n [1, 0, 10, -9, 1],\n [7, 9, -1, 0, -4],\n [9, 1, 5, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-145
|
MATH
|
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 2, -3, 2, 5],\n [-7, 2, 8, 8, 7],\n [8, -5, -5, 6, 0],\n [6, 10, 8, 5, 6],\n [-3, -1, -6, 8, 6],\n [-2, 7, 8, -5, -4]]\nB =\n[[2, -3, 3, 4],\n [-1, 8, 9, 0],\n [-9, -3, -2, 10],\n [-3, 9, -9, -4],\n [-2, 4, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-5, 9, 3, 7, -2, -8],\n [-2, 5, -3, 8, -4, 3],\n [-6, 9, 3, -3, 9, 1],\n [-6, -8, 2, 5, 4, 4],\n [-8, 4, -4, -2, -8, 4],\n [-1, 0, -6, 7, -8, -6]]\nB =\n[[3, 6, -10, 3, 9],\n [-2, 6, 4, -4, -9],\n [-9, 6, -5, -2, -9],\n [-2, 9, -5, 2, 7],\n [1, 0, -5, -3, -9],\n [5, -3, 9, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
129
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -8, 7, 7, -6],\n [-1, -2, 8, 1, -7],\n [4, -5, -7, 5, 1],\n [-3, 5, -4, 2, 1]]\nB =\n[[0, -8, 6, 3],\n [-5, -2, 5, -2],\n [4, 0, 6, 8],\n [-10, 1, -1, -1],\n [-3, 4, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 4, 9, 8, -10, 3],\n [-3, -9, 8, -10, -7, -1],\n [-2, 8, 0, -10, 5, 10],\n [-3, -8, 1, -4, -5, 0],\n [-10, 3, 10, -1, -3, -10],\n [10, 8, 3, -6, -9, 4]]\nB =\n[[5, 5, -7, 7, -7],\n [4, 1, 0, 10, -10],\n [-7, -7, -6, -2, -5],\n [-7, -4, 3, 3, 7],\n [6, 9, -4, -5, -4],\n [4, 3, 3, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-902
|
MATH
|
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 4, 10, 10, -6, -6],\n [-10, -3, -10, 5, -4, -2],\n [4, 10, -8, 3, 7, -9],\n [-1, 9, -7, -7, 2, 10],\n [-9, -9, -4, -5, 9, -10],\n [-5, -6, 5, 10, -7, -7]]\nB =\n[[5, 2, 8, 7, 10, 0],\n [5, 3, -1, 2, -10, -10],\n [9, 9, 3, 0, 4, -9],\n [-1, 0, -10, 1, 6, -7],\n [-10, -6, -8, -4, 6, 0],\n [5, 1, 5, 6, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 2, -4, 6, -10, -10],\n [4, 10, -5, -1, 1, 2],\n [9, 0, 2, -4, 9, 6],\n [-2, 3, 7, -1, -4, 9]]\nB =\n[[-2, 6, 6, 3, 9],\n [-2, 9, 9, 7, -5],\n [9, 3, 3, 7, -9],\n [-2, 7, -9, 3, 1],\n [7, 1, 2, -9, -6],\n [4, 4, 7, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
825
|
MATH
|
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 5, 6, 1, -2, -9],\n [-2, 4, -5, 9, 6, 3],\n [1, 1, -10, -6, -3, -8],\n [1, -10, 5, -3, 3, -1]]\nB =\n[[2, -1, 8, 8, -2, 2],\n [-10, 10, 8, 9, -7, -8],\n [-5, 6, -5, 1, -6, 6],\n [9, -5, -8, -1, -1, 2],\n [2, -10, 4, -10, -3, 10],\n [-5, 8, 1, 2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1326
|
MATH
|
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -2, 0, 9, 4, 6],\n [3, -9, 8, 0, -6, 8],\n [4, -6, -4, -8, -6, -8],\n [0, 0, -4, -10, -4, -3],\n [-9, 9, -10, 10, 8, 4],\n [9, -1, -8, -1, -7, 7]]\nB =\n[[10, -5, -4, 7],\n [3, -6, 6, 8],\n [0, -4, -3, -9],\n [3, 3, 5, -5],\n [1, -8, 3, 6],\n [-2, -4, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
241
|
MATH
|
[
{
"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[-9, -9, 1, 10, -1],\n [3, -10, -10, -7, -8],\n [-10, 6, 2, 0, -2],\n [2, -10, -2, 0, -6],\n [8, 4, -5, 2, -9]]\nB =\n[[-3, -7, -9, 6, 2, 9],\n [8, -8, 6, 2, 2, -9],\n [-4, -6, 1, -1, -9, -8],\n [-9, 5, 5, -9, 9, 5],\n [-8, 6, 5, 8, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[6, 0, 5, -7],\n [-7, -9, -1, 9],\n [-5, 5, -3, -8],\n [-10, 10, -1, -7],\n [10, -7, -3, 3],\n [-7, 1, -8, 9]]\nB =\n[[6, -3, -10, -4, 7],\n [3, 10, 0, -2, 9],\n [9, 3, -2, -5, -9],\n [-3, 1, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
116
|
MATH
|
[
{
"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[3, -10, 8, 2],\n [-3, 5, -5, 8],\n [-2, 9, 10, 9],\n [10, -7, -9, -7],\n [-9, 4, 10, -5],\n [1, 6, -4, -5]]\nB =\n[[9, -9, -10, -9, 9, -5],\n [-5, 9, 5, -4, 5, -8],\n [9, -9, -3, 1, -4, -10],\n [-1, 7, -7, 2, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-175
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[3, 0, -4, 1, -10],\n [6, -2, -1, -2, -10],\n [10, -1, 5, 0, 9],\n [-7, 2, 8, 6, 5],\n [7, 4, 9, 1, -8]]\nB =\n[[5, -6, -7, -5, -4, -10],\n [3, -5, 4, 4, 2, 0],\n [2, -6, 3, 7, -10, -3],\n [-7, 0, -7, -7, 6, 5],\n [3, -4, 7, 8, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
84
|
MATH
|
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 10, 9, -3, 4, -9],\n [-6, -2, -8, -4, -5, -10],\n [9, 10, 8, 3, 6, -4],\n [10, 3, 6, 0, 3, -5],\n [0, 10, -1, 9, 9, 3]]\nB =\n[[-6, -7, 4, -2, 10],\n [-4, 6, -10, 8, -4],\n [-1, 4, 6, -9, 9],\n [9, -2, -2, -9, -10],\n [-9, 4, 5, 7, 0],\n [-1, 6, 8, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-411
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 10, -4, -9, 5],\n [9, -10, -2, 4, 8],\n [-9, 1, 1, -8, 1],\n [10, 6, -2, -1, -2]]\nB =\n[[4, 10, -8, -9, 0],\n [9, -10, 10, 0, 9],\n [-7, -1, -7, 9, 10],\n [8, 0, -10, 7, 10],\n [3, 1, 3, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1754
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, 1, -3, 10, -3, -4],\n [10, -10, -1, -9, -3, 7],\n [-6, 1, -7, -3, 3, 5],\n [3, 0, -2, 5, -1, 1],\n [1, 4, 1, -8, 2, 5],\n [-10, 8, -8, -9, -6, 3]]\nB =\n[[-4, 10, 4, -1, -7, -3],\n [-3, 10, -6, 9, 10, 5],\n [-6, 8, -5, 1, 1, -4],\n [-8, -4, -6, -4, -1, -4],\n [7, 5, -10, 6, 3, 9],\n [-6, -1, 10, 10, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
98
|
MATH
|
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, 6, 0, -3],\n [-6, 6, 10, 9],\n [9, 8, -3, -5],\n [2, 0, 3, 1],\n [-6, -10, -1, -7]]\nB =\n[[-1, -2, 3, 3, 2],\n [-8, 5, 6, 3, 8],\n [-4, -5, 5, -1, 0],\n [-10, 3, 0, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-53
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -4, 9, -8, 1],\n [-3, 6, -6, 10, -10],\n [1, -6, -6, 10, -7],\n [-6, -3, 9, 4, 5]]\nB =\n[[7, -3, 6, -7, -5],\n [10, -2, 5, 6, -1],\n [7, -9, 2, 2, -10],\n [5, 5, -7, 5, 4],\n [3, 1, 8, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1399
|
MATH
|
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -10, 8, 8, -2],\n [10, -10, 2, 7, 10],\n [-7, 6, -2, -3, 4],\n [7, 2, 10, 9, 3],\n [5, -4, 9, 0, 2]]\nB =\n[[3, 4, -4, 9, -6, -9],\n [3, 0, 9, -4, 6, -10],\n [3, 10, 10, 3, 5, -5],\n [-4, -5, 9, -2, -3, 0],\n [10, 4, -5, 10, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
780
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -5, -3, -8, 9, 4],\n [1, 2, -5, -3, -1, 6],\n [8, -6, 6, 8, 7, -3],\n [2, 1, 4, 6, 4, -4],\n [-4, 2, 7, -5, -10, 6],\n [-2, -10, -2, -9, -8, -3]]\nB =\n[[-4, 1, 6, 10, 6, 3],\n [-9, -3, 3, 6, 8, 3],\n [-5, -2, 1, 9, -3, 3],\n [0, 5, 3, -7, 8, -1],\n [-7, 3, 0, -8, 4, 5],\n [-4, -7, 9, -5, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1880
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 2, -7, -6],\n [2, -4, 6, 3],\n [0, 2, 8, 5],\n [5, 8, 0, 7]]\nB =\n[[4, 9, 5, 3, 5, 9],\n [-10, 2, 0, -4, -9, 10],\n [-4, 4, 10, 8, 1, -6],\n [-1, -4, 9, -9, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1422
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 6, 8, -1, 6, 5],\n [10, -4, 8, 5, -1, -9],\n [-3, -7, 7, -5, 7, -10],\n [-10, 2, 3, 10, 7, 7],\n [0, -1, 4, 10, 5, 2]]\nB =\n[[3, -2, -2, -2, 2],\n [-8, -1, -2, -8, -9],\n [-2, 0, 5, -7, -8],\n [4, 0, -5, -4, -1],\n [-2, 7, -3, 7, 6],\n [7, 0, -9, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 6, 8, 8],\n [2, 6, -5, -6],\n [-8, -2, 9, -4],\n [9, -2, -5, -10]]\nB =\n[[5, -4, 1, -4],\n [-10, -3, -4, 10],\n [-5, 6, 5, 3],\n [9, -3, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-115
|
MATH
|
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, -1, 0, -2],\n [9, 1, 0, -2],\n [2, 8, 2, 9],\n [10, -10, 0, -9],\n [-9, 3, -6, 0]]\nB =\n[[6, -5, -4, -9, -8],\n [-5, -6, -2, -5, -10],\n [-2, -4, -10, -6, 4],\n [-5, -1, -7, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-103
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -3, 6, -7],\n [3, -7, 4, -10],\n [5, 1, 0, 9],\n [-6, -10, -9, -8],\n [-2, -1, 8, -8]]\nB =\n[[-3, -3, -10, -4, 9],\n [-2, -8, -7, 7, 0],\n [-5, -5, 5, 6, 5],\n [-5, -3, 5, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
MATH
|
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, -1, 0, 7],\n [-10, -7, -4, -3],\n [6, -9, 0, 1],\n [-7, 6, 6, -6],\n [-3, -5, 5, 0]]\nB =\n[[-1, 1, 2, 4, 0],\n [10, 3, 6, 4, 9],\n [9, -1, -4, 7, -8],\n [-3, -6, 2, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-107
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[4, 9, -5, -1, -2],\n [1, -8, 2, -9, 3],\n [4, -6, -7, -5, 1],\n [6, -8, 1, -3, -1],\n [0, 4, -9, -5, -10],\n [-10, 0, -4, -6, -3]]\nB =\n[[-4, 7, 0, 8, 3, 2],\n [-2, -9, 8, 2, -8, -2],\n [-9, -10, -9, -9, -10, -9],\n [8, 10, 4, 3, 1, 7],\n [2, -6, -1, -10, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 8, -9, 2],\n [2, -1, 10, 7],\n [5, 10, -6, 3],\n [6, 6, 6, -2],\n [-4, 2, 8, 1]]\nB =\n[[10, -4, -10, 4, 7, 1],\n [4, -3, -6, 4, 4, 2],\n [1, -1, -4, 0, 7, -5],\n [10, 6, 7, -2, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1681
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -6, -2, -6, 6, 0],\n [-6, 4, -8, -6, -10, 6],\n [4, -3, 2, 3, -7, -9],\n [9, -5, -9, 10, -8, 2]]\nB =\n[[1, -4, 8, -5, -8],\n [-8, -5, -7, -4, -1],\n [2, 1, 5, 3, -2],\n [-8, 8, 4, -2, -4],\n [-8, 6, -4, -5, -8],\n [4, -8, -1, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
444
|
MATH
|
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, -5, -5, 0, 7],\n [9, -1, 4, 5, -5],\n [9, -2, 5, 10, 0],\n [9, 9, -7, 10, 9],\n [2, 8, -7, -1, 0],\n [2, -1, -5, -7, -8]]\nB =\n[[9, 3, -6, 3, 0, 9],\n [-4, 2, -2, 4, 1, 5],\n [10, -1, -3, -9, 3, 5],\n [0, 9, 0, 0, 8, 6],\n [-6, -8, -10, 0, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
51
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -9, -6, -5, 6],\n [10, 1, -1, -5, 7],\n [-4, -5, 8, -9, -2],\n [-8, 0, -7, 7, 5],\n [10, -5, 9, 7, 10]]\nB =\n[[-3, -10, 1, 1, -7, -1],\n [1, 1, 9, 2, -2, 9],\n [-8, -6, 5, -4, 10, 6],\n [6, -6, -5, -1, 2, 5],\n [-1, -8, 3, -9, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-947
|
MATH
|
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 6, 0, -6],\n [3, 2, -1, -2],\n [-4, 8, -8, 4],\n [4, -3, 4, 8]]\nB =\n[[-4, 0, 5, -7, 6, -3],\n [7, -9, -1, -7, -1, 8],\n [1, 8, 2, 2, 6, -6],\n [-10, 7, 6, -9, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-134
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-8, 3, 10, 5, 6, -4],\n [9, -8, -6, 5, -1, 3],\n [-7, -5, -6, 6, 5, -8],\n [7, -1, 10, -6, -4, -7],\n [-5, -1, -4, -10, -3, -6],\n [4, -7, 9, -4, 9, 4]]\nB =\n[[8, 8, 2, 1, -2],\n [9, -6, 0, -7, -9],\n [7, -2, -7, -3, 0],\n [8, 5, 7, -9, -6],\n [6, 8, 5, 3, 5],\n [7, -4, 10, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-15
|
MATH
|
[
{
"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-4, 9, -5, 9, -5, -2],\n [5, 6, -7, 4, 2, 9],\n [-1, -1, 7, -3, -7, 10],\n [7, 8, 9, 5, 3, 2],\n [-10, 3, -1, -7, -1, 6],\n [10, 0, -10, 1, -1, -3]]\nB =\n[[9, 3, -8, -6, 8, -2],\n [-9, 8, -7, -3, 5, -8],\n [0, -9, -1, 4, -5, 4],\n [-7, -6, -3, 5, 4, 3],\n [9, 5, 10, -6, 0, -6],\n [7, 3, -8, 3, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 2, -7, 4],\n [7, -5, -7, -2],\n [-2, 4, -2, -5],\n [-2, -3, 0, 0],\n [-2, -7, -8, -2]]\nB =\n[[-6, 10, -3, -5, -8],\n [3, -8, -4, 7, -2],\n [-2, 8, -3, -7, -1],\n [-1, -5, -2, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
332
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 0, -6, 6],\n [9, 1, -4, 5],\n [6, 2, -5, 3],\n [-7, 4, 3, 7]]\nB =\n[[-2, -7, 0, -10],\n [-4, -10, 7, 4],\n [-9, 10, -2, 8],\n [-2, -2, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-361
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -5, -6, -5, 6],\n [-5, -1, -6, -6, 0],\n [0, 2, 5, -10, 8],\n [6, 8, 6, 5, 3],\n [8, 2, -6, 8, 6],\n [0, -2, -4, 8, -4]]\nB =\n[[-5, -10, -8, -4, 1],\n [-1, 8, -9, 10, 7],\n [8, 9, 9, -2, -6],\n [-6, -3, 1, -6, 2],\n [-3, -10, 6, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-775
|
MATH
|
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -10, -5, -2, 7],\n [-6, -6, -6, 7, -10],\n [7, 1, 5, 8, 7],\n [-10, -4, 4, -7, 2]]\nB =\n[[2, -7, 0, 6],\n [-3, 1, 6, 0],\n [6, 3, -1, 8],\n [4, -1, 10, -3],\n [-10, 5, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-157
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -5, -9, -9, 8, 3],\n [5, 4, -3, -9, 9, 7],\n [-9, -1, -7, 4, 0, -5],\n [4, -5, 6, -9, -10, -1],\n [1, 4, -6, 9, 10, -7]]\nB =\n[[-2, 8, 9, -8, -6],\n [0, -2, -6, -9, -6],\n [-6, 3, 8, 8, -1],\n [5, 4, -3, -6, -6],\n [8, 3, 6, -8, 6],\n [3, 4, 4, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1983
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-1, 0, -5, 7, 7, -10],\n [3, 2, -2, -2, -9, -5],\n [4, -7, -10, -5, 9, -3],\n [-5, -5, 2, 8, -4, -8],\n [-8, -1, 2, -10, 2, 8]]\nB =\n[[0, -8, 0, -7, -9, -5],\n [-10, -8, 0, 3, 1, -8],\n [1, 2, -9, 5, -7, -10],\n [-8, 0, -2, 5, 7, 3],\n [9, 8, 7, -10, 5, 6],\n [10, 1, -5, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
94
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -5, -3, 4],\n [-8, 5, 8, -7],\n [-1, 6, -3, -5],\n [10, -2, 1, 7],\n [-3, 9, -1, 1]]\nB =\n[[9, -8, -2, -5, 2],\n [6, -6, -5, 8, -5],\n [5, 6, -1, 6, 2],\n [4, 3, -10, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[-2, 1, -2, 9, -5],\n [-1, -9, 10, 9, 5],\n [10, 5, 10, 6, -7],\n [7, 6, -1, -4, -3],\n [-8, 9, 1, 3, -7],\n [10, 3, 5, 2, 0]]\nB =\n[[-2, 7, 8, 9, 8],\n [-1, -5, 5, 2, 10],\n [-3, -5, -9, -1, 7],\n [1, 9, -6, 9, -10],\n [-3, -2, -6, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -6, -4, 2, -6],\n [8, 6, -10, 2, -7],\n [-7, -8, 0, -6, -10],\n [-9, -1, 5, 7, -10]]\nB =\n[[2, -2, 9, 7, -2],\n [-7, -6, -3, 8, 8],\n [10, -5, -6, -1, 0],\n [4, 9, -3, -7, 0],\n [5, -6, -4, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-120
|
MATH
|
[
{
"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[9, 4, -9, -6, 10],\n [10, 1, -4, 7, 7],\n [-7, -4, -1, -5, 6],\n [-10, 6, 8, 1, 7],\n [10, -10, -4, 7, 7]]\nB =\n[[9, -4, 8, 1, -4],\n [-2, -2, 7, 10, 7],\n [2, -3, -3, 9, 6],\n [4, -4, -4, -10, -1],\n [2, 2, 9, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-23
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -1, 0, -7, 0, -7],\n [-9, 2, 5, -1, 6, 2],\n [10, 9, -5, -10, 9, -3],\n [9, 3, 0, 2, -6, 6]]\nB =\n[[-6, -8, -5, -5, -10, -5],\n [9, 2, 10, 1, 4, -7],\n [-7, 1, 3, -10, -9, -4],\n [-7, -8, -7, -2, 4, -9],\n [-2, -7, 2, 6, 1, 0],\n [9, 10, 2, -2, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1226
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 2, -6, 10, 6],\n [-6, 0, 0, 4, 0],\n [-7, -3, -2, -9, 1],\n [-8, -1, 4, 7, -1],\n [-10, -5, 4, 8, 9],\n [-7, 0, 8, -3, -1]]\nB =\n[[-4, -8, -9, -6, -2],\n [4, -1, -3, 5, -1],\n [-6, 10, 6, 7, -2],\n [4, -7, -1, -8, -8],\n [6, 6, 4, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1061
|
MATH
|
[
{
"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-9, -4, 10, -8, 3],\n [-3, -1, -4, -5, -1],\n [8, -1, 10, 2, 5],\n [-10, 3, -7, 4, 1],\n [8, 6, -8, 1, 3]]\nB =\n[[-8, -5, 3, 0, 7, -2],\n [1, 6, 5, 0, -9, -7],\n [-7, -9, -7, 10, 7, 10],\n [-5, -10, 3, 3, 3, 1],\n [-9, -2, -8, 0, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-85
|
MATH
|
[
{
"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-6, 1, -8, -5, 6, 4],\n [5, 8, -8, 2, 8, 6],\n [3, 1, 9, -10, 3, 0],\n [7, 2, 7, 3, -4, -7],\n [4, 9, -1, 6, -1, -1]]\nB =\n[[0, -4, 8, 8, 9, -4],\n [2, -1, -9, 3, 2, 10],\n [-3, 0, -10, 2, 6, 9],\n [0, 2, -7, 8, 0, 6],\n [10, -5, -9, -2, 6, -7],\n [1, -10, 3, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-41
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -4, -7, -3],\n [4, -9, -7, 2],\n [8, -5, 9, -2],\n [7, 3, -4, -9],\n [10, 1, -9, 1]]\nB =\n[[-2, 9, -9, 7, 3],\n [-7, 0, -4, -1, 5],\n [8, -8, 10, 5, -3],\n [-9, -6, -5, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
237
|
MATH
|
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 5, 2, 2],\n [6, -1, 8, -7],\n [1, -8, 4, 3],\n [-2, -2, -1, 8],\n [0, 6, -7, -5],\n [-8, -7, -1, 1]]\nB =\n[[9, 9, 2, -10, -1, 9],\n [1, -1, 9, -8, -8, 0],\n [-5, 7, 5, 5, -7, -7],\n [5, -8, -8, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-129
|
MATH
|
[
{
"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-9, 2, 2, -9, 3],\n [7, 5, 9, 6, 0],\n [-2, -7, 1, -3, 0],\n [10, 1, 2, 8, 9]]\nB =\n[[-9, 9, 10, -1],\n [7, 9, -7, -1],\n [-10, 3, -1, -3],\n [-7, -9, 3, -7],\n [5, -9, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-160
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 10, 5, -8],\n [10, 5, 9, -3],\n [-1, 4, -3, 9],\n [3, -1, 10, 0],\n [-6, 9, 2, 9],\n [3, -7, 7, -9]]\nB =\n[[-1, -4, 0, 0],\n [-8, -5, -10, 2],\n [-4, 4, -2, -7],\n [2, 3, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1005
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -7, 4, -2, -3, -10],\n [6, 8, -7, -1, 2, -4],\n [8, -6, 2, 6, -3, -8],\n [-8, 7, 4, -9, 6, -6],\n [-8, 5, 6, -2, 9, 0],\n [-7, -2, 9, -6, 3, -8]]\nB =\n[[-5, 6, -8, 6],\n [6, 7, 2, 0],\n [8, -5, 1, 2],\n [0, 1, -3, -1],\n [8, 2, -6, 4],\n [8, -2, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1508
|
MATH
|
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -10, -9, -10],\n [-1, -1, 5, 6],\n [-2, 4, 9, 8],\n [4, -2, -7, 6],\n [-7, 0, 1, -4]]\nB =\n[[5, -5, -8, 9],\n [7, 10, -3, 10],\n [6, -4, 4, 9],\n [-9, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-292
|
MATH
|
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 0, 9, -8, 2, 3],\n [9, -3, -10, 2, -3, -3],\n [-5, 4, -7, -1, -7, -9],\n [-10, -2, -8, -7, -8, 9],\n [-6, 1, -1, -8, 2, 5],\n [-1, -5, -3, -10, 7, 2]]\nB =\n[[1, 0, 8, 6, 0],\n [5, -3, -10, -6, -6],\n [3, 7, -6, -2, 7],\n [4, -7, -6, 0, 5],\n [-6, -1, 7, -8, -7],\n [2, 0, 7, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-71
|
MATH
|
[
{
"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-10, 7, 9, -6, 7],\n [4, 10, 6, -3, -9],\n [4, -5, 6, -9, -4],\n [-7, 10, -10, -1, -7],\n [4, 2, -2, -1, -3]]\nB =\n[[-5, 1, -2, 3, -1, 2],\n [4, 6, -1, 6, -5, 0],\n [3, -8, 5, 4, 9, -3],\n [10, -6, 3, 7, 9, 10],\n [-8, -3, 7, -6, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
129
|
MATH
|
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -4, -1, -6, -7, 0],\n [8, 9, -4, -2, -9, 0],\n [-1, 9, -8, 10, -6, 4],\n [9, 4, -8, 3, -4, -3]]\nB =\n[[-10, 5, -1, 3, 2],\n [10, 4, -2, 2, -5],\n [-4, 9, -10, 8, 1],\n [6, -8, 0, -2, 5],\n [-5, -6, 3, -8, -2],\n [10, 5, -1, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
556
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, 8, -10, -3],\n [0, 0, 2, 9],\n [-1, 0, -7, 3],\n [-7, 8, -10, 7]]\nB =\n[[-8, -1, 9, -2],\n [-4, -1, 0, 10],\n [-8, 10, 1, 7],\n [3, -2, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 1, 8, 8, -8, 8],\n [10, 0, 6, 0, -5, 3],\n [-8, -3, -10, -1, 3, 7],\n [5, -3, 3, 1, -5, -8],\n [-9, -8, 1, 6, 3, 9]]\nB =\n[[8, -2, 4, -6, -9, 7],\n [-5, -7, 10, -7, 3, 2],\n [4, -10, 1, 7, 3, 4],\n [9, 1, 9, 4, 3, 8],\n [-9, -8, 4, -1, -7, -8],\n [3, 1, -3, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2167
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -1, 5, -6],\n [7, 6, -4, 9],\n [9, 8, 8, -6],\n [-3, -3, 4, -4]]\nB =\n[[-9, -4, -10, 6, 1, 7],\n [4, -1, 4, 3, 2, 10],\n [3, -1, -9, 10, -7, -5],\n [-1, -6, 9, 6, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1413
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -5, 10, -3],\n [0, -10, 1, -8],\n [-8, 8, -10, -6],\n [-1, -9, -1, 3]]\nB =\n[[-6, 0, 9, 5, 6, 9],\n [-10, -8, 2, -7, 5, -4],\n [7, -4, -10, 3, -10, -7],\n [-10, 4, 8, -10, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1666
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 3, 9, 8, 10],\n [-6, 1, 4, 1, 6],\n [4, -10, 8, 4, -4],\n [-2, 0, 8, 9, 7],\n [-2, 2, -1, 6, 7]]\nB =\n[[5, -7, -10, 2, -3, -9],\n [-1, 8, 8, -2, -9, -5],\n [10, -5, 2, -8, -7, -4],\n [-7, 10, 4, 10, 4, 1],\n [1, 8, -10, -4, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1728
|
MATH
|
[
{
"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-5, 5, -10, -8],\n [-6, 6, -6, -9],\n [10, -8, 5, -5],\n [-4, 5, 2, 8],\n [5, -3, 2, 8]]\nB =\n[[-9, -4, -1, 5, 9],\n [-5, 9, 4, 2, 10],\n [-9, 1, -9, 0, 4],\n [-4, 7, 3, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-37
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 0, 3, 0],\n [1, -1, -4, 7],\n [2, -4, 5, 2],\n [-9, -3, -4, -6]]\nB =\n[[-9, -10, 3, -4, -1],\n [1, 0, 9, -7, 5],\n [4, 0, -3, 1, -7],\n [5, 10, 7, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
197
|
MATH
|
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 0, 0, -6, 4],\n [9, 6, -3, 10, -4],\n [-1, -1, -8, -4, -6],\n [1, 1, 5, -5, 9]]\nB =\n[[-8, -8, 6, -3, -5, -5],\n [-6, -10, -7, -8, -8, 1],\n [-4, 1, -7, -8, -3, -3],\n [-6, 0, -9, 1, -7, -10],\n [5, 0, 4, 9, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-114
|
MATH
|
[
{
"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[4, -8, 10, 2, -5, 3],\n [-9, 9, -6, 1, -5, 6],\n [-6, -7, -6, -5, 1, -5],\n [7, 9, -1, 3, -1, -9],\n [8, 5, -10, -8, 7, -1],\n [9, -10, -7, 2, 9, -3]]\nB =\n[[-2, 5, -10, -7, -7],\n [-4, -8, -6, 4, 3],\n [8, 4, -5, 0, 7],\n [-8, 9, 10, 4, 3],\n [7, 9, 5, 2, -3],\n [2, 7, -1, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-56
|
MATH
|
[
{
"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[5, -8, 0, -10, -8, 3],\n [7, -8, -5, 4, -6, 0],\n [-5, -7, -10, -5, -8, -4],\n [2, 5, 0, -5, 8, 10]]\nB =\n[[10, -2, 8, 5],\n [0, 1, -5, 8],\n [1, -7, -1, 4],\n [-10, -7, -5, -5],\n [9, -1, 5, 6],\n [6, 0, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
156
|
MATH
|
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -3, 2, 6, 3, 0],\n [-7, -1, -1, -6, 0, 3],\n [-4, -3, -6, 2, -7, 2],\n [1, -10, -5, -10, -2, -8]]\nB =\n[[-6, 5, 1, -1, 9, -6],\n [-8, -8, -6, 7, 2, 4],\n [-10, 4, -9, -2, -6, -7],\n [9, -7, -1, -4, -4, -4],\n [1, 0, 3, -10, -10, 9],\n [5, 4, -9, -10, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
600
|
MATH
|
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