id stringlengths 43 43 | setting_key stringclasses 1 value | setting_name stringclasses 0 values | messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1 value |
|---|---|---|---|---|---|
arithmetic_matrix_multiplication_train_0000 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 300 | math |
arithmetic_matrix_multiplication_train_0001 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 format: \\boxed{Your answer}"
}
] | 417 | math |
arithmetic_matrix_multiplication_train_0002 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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{Your answer}"
}
] | 39 | math |
arithmetic_matrix_multiplication_train_0003 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 694 | math |
arithmetic_matrix_multiplication_train_0004 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -343 | math |
arithmetic_matrix_multiplication_train_0005 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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{Your answer}"
}
] | 43 | math |
arithmetic_matrix_multiplication_train_0006 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 88 | math |
arithmetic_matrix_multiplication_train_0007 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 340 | math |
arithmetic_matrix_multiplication_train_0008 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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: \\boxed{Your answer}"
}
] | 1018 | math |
arithmetic_matrix_multiplication_train_0009 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer in LaTex format: \\boxed{Your answer}"
}
] | -33 | math |
arithmetic_matrix_multiplication_train_0010 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 16 | math |
arithmetic_matrix_multiplication_train_0011 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -5 | math |
arithmetic_matrix_multiplication_train_0012 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 48 | math |
arithmetic_matrix_multiplication_train_0013 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer}"
}
] | 117 | math |
arithmetic_matrix_multiplication_train_0014 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 13 | math |
arithmetic_matrix_multiplication_train_0015 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 281 | math |
arithmetic_matrix_multiplication_train_0016 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer in LaTex format: \\boxed{Your answer}"
}
] | 5 | math |
arithmetic_matrix_multiplication_train_0017 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 12 | math |
arithmetic_matrix_multiplication_train_0018 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 |
arithmetic_matrix_multiplication_train_0019 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 13 | math |
arithmetic_matrix_multiplication_train_0020 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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: \\boxed{Your answer}"
}
] | -270 | math |
arithmetic_matrix_multiplication_train_0021 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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{Your answer}"
}
] | -140 | math |
arithmetic_matrix_multiplication_train_0022 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -46 | math |
arithmetic_matrix_multiplication_train_0023 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 LaTex format: \\boxed{Your answer}"
}
] | -191 | math |
arithmetic_matrix_multiplication_train_0024 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 410 | math |
arithmetic_matrix_multiplication_train_0025 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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{Your answer}"
}
] | 96 | math |
arithmetic_matrix_multiplication_train_0026 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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: \\boxed{Your answer}"
}
] | 356 | math |
arithmetic_matrix_multiplication_train_0027 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -165 | math |
arithmetic_matrix_multiplication_train_0028 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 105 | math |
arithmetic_matrix_multiplication_train_0029 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 786 | math |
arithmetic_matrix_multiplication_train_0030 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 550 | math |
arithmetic_matrix_multiplication_train_0031 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 588 | math |
arithmetic_matrix_multiplication_train_0032 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 170 | math |
arithmetic_matrix_multiplication_train_0033 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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: \\boxed{Your answer}"
}
] | 769 | math |
arithmetic_matrix_multiplication_train_0034 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer}"
}
] | 398 | math |
arithmetic_matrix_multiplication_train_0035 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 353 | math |
arithmetic_matrix_multiplication_train_0036 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -35 | math |
arithmetic_matrix_multiplication_train_0037 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 |
arithmetic_matrix_multiplication_train_0038 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 408 | math |
arithmetic_matrix_multiplication_train_0039 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 479 | math |
arithmetic_matrix_multiplication_train_0040 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 49 | math |
arithmetic_matrix_multiplication_train_0041 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 691 | math |
arithmetic_matrix_multiplication_train_0042 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -29 | math |
arithmetic_matrix_multiplication_train_0043 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 654 | math |
arithmetic_matrix_multiplication_train_0044 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 29 | math |
arithmetic_matrix_multiplication_train_0045 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 4 | math |
arithmetic_matrix_multiplication_train_0046 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 |
arithmetic_matrix_multiplication_train_0047 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 |
arithmetic_matrix_multiplication_train_0048 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -49 | math |
arithmetic_matrix_multiplication_train_0049 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer in LaTex format: \\boxed{Your answer}"
}
] | -126 | math |
arithmetic_matrix_multiplication_train_0050 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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{Your answer}"
}
] | 611 | math |
arithmetic_matrix_multiplication_train_0051 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer}"
}
] | -44 | math |
arithmetic_matrix_multiplication_train_0052 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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: \\boxed{Your answer}"
}
] | -32 | math |
arithmetic_matrix_multiplication_train_0053 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -59 | math |
arithmetic_matrix_multiplication_train_0054 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer}"
}
] | -98 | math |
arithmetic_matrix_multiplication_train_0055 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 77 | math |
arithmetic_matrix_multiplication_train_0056 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -80 | math |
arithmetic_matrix_multiplication_train_0057 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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: \\boxed{Your answer}"
}
] | 723 | math |
arithmetic_matrix_multiplication_train_0058 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -16 | math |
arithmetic_matrix_multiplication_train_0059 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer}"
}
] | 38 | math |
arithmetic_matrix_multiplication_train_0060 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -82 | math |
arithmetic_matrix_multiplication_train_0061 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer}"
}
] | -72 | math |
arithmetic_matrix_multiplication_train_0062 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -101 | math |
arithmetic_matrix_multiplication_train_0063 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 |
arithmetic_matrix_multiplication_train_0064 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 in LaTex format: \\boxed{Your answer}"
}
] | 668 | math |
arithmetic_matrix_multiplication_train_0065 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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{Your answer}"
}
] | 137 | math |
arithmetic_matrix_multiplication_train_0066 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -130 | math |
arithmetic_matrix_multiplication_train_0067 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -40 | math |
arithmetic_matrix_multiplication_train_0068 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 281 | math |
arithmetic_matrix_multiplication_train_0069 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -51 | math |
arithmetic_matrix_multiplication_train_0070 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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: \\boxed{Your answer}"
}
] | -99 | math |
arithmetic_matrix_multiplication_train_0071 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -564 | math |
arithmetic_matrix_multiplication_train_0072 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -77 | math |
arithmetic_matrix_multiplication_train_0073 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 |
arithmetic_matrix_multiplication_train_0074 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 49 | math |
arithmetic_matrix_multiplication_train_0075 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -47 | math |
arithmetic_matrix_multiplication_train_0076 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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, -1, 5],\n [4, 5, 3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 943 | math |
arithmetic_matrix_multiplication_train_0077 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 |
arithmetic_matrix_multiplication_train_0078 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_multiplication_train_0079 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -73 | math |
arithmetic_matrix_multiplication_train_0080 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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{Your answer}"
}
] | 24 | math |
arithmetic_matrix_multiplication_train_0081 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1234 | math |
arithmetic_matrix_multiplication_train_0082 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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: \\boxed{Your answer}"
}
] | 355 | math |
arithmetic_matrix_multiplication_train_0083 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 |
arithmetic_matrix_multiplication_train_0084 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer}"
}
] | 284 | math |
arithmetic_matrix_multiplication_train_0085 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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: \\boxed{Your answer}"
}
] | 122 | math |
arithmetic_matrix_multiplication_train_0086 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -4 | math |
arithmetic_matrix_multiplication_train_0087 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 113 | math |
arithmetic_matrix_multiplication_train_0088 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer}"
}
] | 98 | math |
arithmetic_matrix_multiplication_train_0089 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | -84 | math |
arithmetic_matrix_multiplication_train_0090 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 answer in LaTex format: \\boxed{Your answer}"
}
] | 787 | math |
arithmetic_matrix_multiplication_train_0091 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 196 | math |
arithmetic_matrix_multiplication_train_0092 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 433 | math |
arithmetic_matrix_multiplication_train_0093 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 |
arithmetic_matrix_multiplication_train_0094 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 32 | math |
arithmetic_matrix_multiplication_train_0095 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 722 | math |
arithmetic_matrix_multiplication_train_0096 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 |
arithmetic_matrix_multiplication_train_0097 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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 |
arithmetic_matrix_multiplication_train_0098 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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}"
}
] | 517 | math |
arithmetic_matrix_multiplication_train_0099 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"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{Your answer}"
}
] | 6 | math |
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