messages listlengths 1 1 | ground_truth stringlengths 1 6 | dataset stringclasses 1 value |
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[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[13, 3, -11, 17, -18, -5, 13, -7, -3, -15],\n [-15, -2, 10, 14, -2, -23, -4, -24, -2, 18],\n [4, 12, -24, -5, 7, -14, -4, 18, -1, 23],\n [1, 16, 2, -10, -11, 21, 25, 18, -23, 11],\n [25, -19, -5, -17, 13, -8, -22, -1, -12... | 864 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[15, 23, 23, -14, 13, -24, -23, 23, 11, 23],\n [-9, 23, -24, -24, 2, -3, 11, 6, 7, -25],\n [-7, -24, 18, 0, 6, -20, 6, -22, -15, -9],\n [12, -2, -21, 8, -20, -4, -15, 22, -10, 7],\n [-17, -20, ... | 48193 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 16, 0, 9, 24, -1, -2, -13, -19, 10],\n [19, -6, -25, -18, 20, -10, -12, -14, 25, -3],\n [-11, 2, 8, -24, 6, -3, -4, 25, -1, -4],\n [-4, 23, 16, -20, -11, 17, 11, 7, -18, 18],\n [18, -21, 13, -22... | -2255 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, 4, -9, 23, -6, 22, -1, -4, -13, -7, 23],\n [10, -14, 15, -7, -14, -17, -19, 2, -12, 5, -7],\n [21, -10, -21, 9, -14, -1, -5, 10, -3, -10, 13],\n [19, 16, 13, -12, 5, -21, 9, -3, 3, 17, -15],\n [-... | 51374 | MATH |
[
{
"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-22, -25, 23, 14, 6, 8, 2, 5, -18, 13],\n [0, 8, -23, 24, -14, -25, 18, -21, 4, 4],\n [-9, 22, 21, -3, -11, 11, -5, -12, -24, -15],\n [25, 13, 12, 8, 12, 24, 8, -8, 4, -11],\n [1, 25, 8, 12, 7, -2, -11, 4, 16, 25],... | 384 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[11, 10, -2, 5, -20, -24, -6, 2, -15, -22],\n [-11, -20, 23, 4, 12, 25, -24, -11, -15, -18],\n [0, 25, 19, 18, -21, -20, 0, -22, -7, -6],\n [7, -6, 23, -14, 21, -25, 0, -12, 12, 11],\n [-15, 10... | 66973 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[11, -18, 16, 23, 2, 5, -17, 25, 3, -12, 14],\n [15, -4, -15, -3, -25, 20, 11, -5, 0, 20, 10],\n [-3, -25, 25, 14, -11, -5, 21, -17, -17, -16, 0],\n [15, 9, -1, 0, -15, 12, -24, -19, -8, 1, 8],\n [1, -9, 17, 18, 25, -2, -1, -19,... | 3927 | MATH |
[
{
"content": "Find the value at position (10, 6) of the product of the following matrices:\nA =\n[[19, -19, -16, 19, -9, 0, -5, 2, 20, -24, 17],\n [-25, 25, 10, 25, 0, 3, -5, -15, 14, -15, 10],\n [23, 13, 14, 9, 8, 21, -2, -4, -21, 7, 10],\n [21, -6, -7, 9, 17, -9, 19, 17, 8, -17, 0],\n [-24, -17, -17, 14, -9, ... | -1016 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[19, 20, -16, 17, 8, 0, 15, 23, -23, -20],\n [-21, -21, 21, -3, 23, -17, 9, -6, 23, 16],\n [9, 24, -8, -9, -2, -23, 6, 9, 12, -13],\n [21, -1, -17, -22, -12, 11, 8, -15, 15, -23],\n [2, 3, -17, -23, -1, 8, ... | 19 | MATH |
[
{
"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[3, 3, -15, 6, -24, 21, -12, -6, -4, -15, 1],\n [-23, -9, 18, 2, 3, -5, 21, -10, 11, -6, -20],\n [-7, -21, -23, -25, 12, -11, 8, 9, 23, -1, -2],\n [-14, -8, -11, 18, -10, 1, -18, 20, -1, -9, 3],\n [-18, -11, 1, 20... | 1476 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, 22, 4, -3, 16, 18, -12, -12, -24, 11, -21],\n [12, 19, 15, 21, -12, 13, -1, -6, -24, 13, -20],\n [-9, -1, 2, -24, 9, 11, -21, -25, 14, -14, 10],\n [19, -3, 21, 5, -15, -16, -23, -12, -10, -16, 3],\n [-1... | -5703 | MATH |
[
{
"content": "What is the value at position (9, 4) when matrix A is multiplied by matrix B?\nA =\n[[-18, 22, -24, -20, 2, 3, 0, -1, -14, -21, 8],\n [22, 11, -11, 18, 10, -11, 17, 22, -3, -20, 20],\n [24, 18, 17, 19, -5, -3, 17, -10, 21, -11, -1],\n [10, -15, 25, -11, -22, -5, -13, -4, -7, 8, -12],\n [-22, 22, 2... | 322 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (7, 5) of the result:\nA =\n[[14, -21, -6, 14, 18, -25, 4, -5, -6, -20],\n [-4, -8, -18, 13, 6, 7, -10, -14, 12, 8],\n [-12, 10, 7, -3, 24, 19, -24, 15, -5, -24],\n [1, -17, -25, -15, -23, -3, 0, -22, -8, -20],\n [9, -4, 17, -11, -4, 1... | 699 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[22, -8, 14, 9, 15, 3, 3, 12, 16, -5, 16],\n [-13, 23, 15, -9, -17, 15, -25, -24, 22, 3, 7],\n [-16, 24, 14, -5, 2, -15, 8, -18, -4, -18, 23],\n [-11, -9, -3, -2, 19, -7, -21, 6, 18, -25, -3],\n [11, -18, -13,... | 54892 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[22, -13, -17, 10, -4, 16, 0, -14, -9, -12],\n [-12, 8, -6, -15, -10, 25, 5, -20, -7, 11],\n [-22, 21, -22, -6, -16, -2, 9, 0, 11, 12],\n [-5, 14, 13, -5, -16, 12, 20, -22, 19, -6],\n [-9, -19, -22, 3, -12, ... | -910 | MATH |
[
{
"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[2, 17, 15, 13, -4, 23, -9, 8, -20, 20, -20],\n [8, -25, -16, -5, -21, -24, -4, 22, -24, -16, 8],\n [-10, 22, 25, 13, -4, -14, -2, 21, 14, 12, -16],\n [9, 25, 23, 6, -19, -5, -6, 0, -22, 20, -4],\n [-11, 14, -5, -11, -4, 2... | 1080 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-18, 9, -7, 4, -12, -6, 23, -1, 14, -2],\n [-12, 0, 12, -3, -4, 22, -7, 20, 25, -23],\n [16, -7, -17, 2, -6, 19, -19, -12, -17, -7],\n [21, -12, 12, 10, 14, -9, 4, -17, 7, -1],\n [-12, -15, 9, 15, -12, 4, 1... | 3287 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -21, -18, -1, 1, 20, -3, 4, 19, 21],\n [-3, 23, 21, -6, -8, -8, -24, -22, 4, 7],\n [10, -8, 11, -7, 21, 2, 14, -6, 23, 7],\n [-14, 25, -11, 15, 13, -24, 3, 15, -16, -24],\n [25, -15, -13, -16, -12, -8, 25,... | 67487 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (11, 6) of the result:\nA =\n[[-8, 14, -4, -2, -7, 11, 13, -5, -18, 2],\n [-21, -9, 11, 10, -7, 1, 8, -15, 19, 21],\n [-14, -5, -15, 13, 2, -21, -9, -6, 15, 20],\n [-14, -20, -9, 25, -7, 0, 22, 18, 18, 6],\n [-20, 10, 12, -15, 7, -2, -... | -618 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-14, 5, -12, 8, -8, 8, -15, 15, -14, 23, -11],\n [5, 23, 3, 0, -8, 6, -4, 12, -9, -3, -2],\n [24, -18, 15, -20, -21, 18, 3, 2, -15, -25, 17],\n [-7, -17, 1, 8, 18, -22, 10, -8, -11, 25, -13],\... | 54432 | MATH |
[
{
"content": "Find the value at position (11, 9) of the product of the following matrices:\nA =\n[[6, -6, 24, -15, -11, 6, 2, -4, 15, -9],\n [0, 18, -19, 16, 0, -1, -16, 19, -7, -15],\n [-13, -18, 14, -22, 21, 5, 2, -15, 17, -25],\n [23, 21, 12, -2, 21, 5, 15, 20, 24, 0],\n [23, 24, -21, -6, 15, -15, 7, 24, 12,... | 722 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-21, -15, 25, -5, 9, -14, 0, 25, -7, 19, -19],\n [21, -19, 0, 14, -21, -5, -12, -22, -3, 16, -6],\n [-11, 24, 19, 3, -18, 15, 22, -7, 22, 13, 20],\n [2, 20, 1, -22, -11, 9, 11, -25, -23, 21, -2],\n [1, 14, 10, 8, 3, -2... | 1310 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-18, 7, 23, -14, -15, -21, 1, -14, -9, -20],\n [7, -21, 2, -12, -21, 7, 24, 22, 15, -7],\n [-4, -21, -24, 4, 21, 13, -22, 7, -13, -6],\n [-19, -11, -3, -12, -3, -7, 3, -6, 3, -2],\n [-8, -16, 15, -18, 0, 3... | -17 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[20, 16, -9, -17, -20, 17, -1, 13, 23, 2],\n [7, 11, -17, -8, -5, -24, 17, 12, 14, 10],\n [24, 17, 11, -11, 2, -8, 8, -4, -15, -13],\n [-22, -4, -19, 17, -2, -22, 2, -11, -25, -23],\n [-12, 12,... | 56611 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 17, 6, 0, -10, -1, 2, -17, -25, 3],\n [-4, -10, 15, 25, 18, 25, 15, -19, -12, 3],\n [-7, -7, -24, 15, 19, -11, -23, -15, 20, 4],\n [14, -8, 25, 22, -24, 6, -18, -4, -20, -14],\n [21, 14, 10, -11, 2, 23, 19, -8, -24,... | 2042 | MATH |
[
{
"content": "Compute the value at position (7, 6) of the product matrix AB given:\nA =\n[[19, 1, 9, 5, -11, -10, -13, 23, 9, -15],\n [-5, 25, -15, 4, 22, 9, -4, 12, 5, -12],\n [-2, 24, 23, 6, 10, 6, -11, 17, 9, -23],\n [-10, -21, -5, -16, -7, -1, -22, 3, -7, 17],\n [-24, -16, 17, -1, -6, 22, -7, -3, -2, -15],\... | -886 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -4, -22, 5, -8, 12, -2, -3, -4, -24],\n [5, -15, 2, 20, 6, -21, 12, -16, 14, 20],\n [-2, 9, 18, 22, -3, -9, -25, 5, 5, 16],\n [16, 8, -17, -4, -13, -1, 22, -8, 25, -14],\n [14, -9, -11, 16, -11, -11, 13, -13,... | 51 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-15, 13, 17, 5, -9, 7, 6, 3, -5, -5],\n [14, -3, -20, -4, 24, 12, 11, 19, 25, -18],\n [15, 23, 9, 25, -15, -2, 23, -5, 25, -24],\n [14, -7, 13, 2, -9, -20, -7, 12, 2, -24],\n [12, 11, 25, -22, -4, 0, 23, 17, 10,... | 469 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[12, 9, 19, -10, -18, 21, -9, -9, 0, -13],\n [-9, 12, -9, 22, -12, 19, -20, 9, 20, -12],\n [21, -18, -11, 1, -13, 23, 5, 9, -20, -21],\n [-4, 23, -3, -1, 8, 0, 21, -21, 0, -6],\n [-20, -20, 24, -8, -22, -9, -12, ... | -3652 | MATH |
[
{
"content": "Find the value at position (11, 8) of the product of the following matrices:\nA =\n[[4, 15, -1, -12, 9, 22, 8, -16, 9, -15],\n [-15, -5, -5, -4, 19, -19, -9, -24, -14, 16],\n [-8, -15, -10, 23, 25, -8, 9, 0, -10, -20],\n [18, 17, 21, 21, 22, 16, -14, -13, -22, 13],\n [-24, 0, 1, 1, -11, -18, -19, ... | 324 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 12, 2, -1, 6, -16, 16, 14, 7, -13, 15],\n [16, 21, 11, -10, 19, -4, -6, 24, 17, 1, 15],\n [-10, 8, 6, 0, -1, -24, -14, 14, -17, -14, 0],\n [-17, -16, 6, 8, 22, -6, 13, -24, -25, 25, 10],\n [-2, 1, -24, 5,... | 48630 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 22, 13, 25, -14, -11, 5, -12, -15, 0],\n [16, 1, -15, 12, 8, 17, -7, -20, 20, 12],\n [23, 16, 2, -25, 9, 14, -18, 21, -19, -15],\n [13, -22, -1, -14, 0, 12, 20, -14, 17, 25],\n [11, 20, -2, -10, ... | 55625 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[12, 11, 7, 18, 5, -15, -22, -8, -22, 23, 8],\n [3, -2, -4, -24, 18, -20, 16, -1, -5, -10, 5],\n [-12, 13, 2, 6, 2, 25, 23, -17, 19, -4, 6],\n [-21, -3, -21, 16, 6, -16, 13, -11, -19, 3, 21],\n [-23, -7, -16, 2, ... | 6963 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[24, 22, -6, 1, -20, 1, -17, 19, 5, -5, 0],\n [14, 22, 19, -13, 23, -3, -6, 11, 2, -9, 2],\n [15, -24, -1, 24, 15, -20, -15, 12, -20, 19, -15],\n [-12, -24, 14, -23, 9, 7, -2, -7, -8, 23, -2],\n [19, 9, -25, 10, -1, 19, 2... | -640 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 22, -5, 13, 4, -18, 25, -6, 22, 6],\n [-4, -19, -17, 19, -25, 3, -18, -22, 9, -23],\n [19, 14, -19, 1, -25, 1, -10, 12, -19, 18],\n [-3, 15, -15, 16, 7, 24, 10, 11, 15, -9],\n [9, 22, -21, 22, 6, -23, 21, 9, -12, 22],\n [5, ... | -5667 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[25, 25, -20, -6, -2, 1, 12, -18, -25, 23, 23],\n [-2, 21, -19, -7, -4, 9, 4, 3, -4, -15, -6],\n [3, 25, 15, 16, 8, -25, 5, 4, 22, -8, -9],\n [12, -12, -3, -1, -11, 20, -4, -23, -7, 18, 8],\n [9, 24, -25, -5, 3, ... | -11015 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 5, -22, -8, -6, 21, 17, 18, -17, -13],\n [-11, 1, -11, 2, 11, -7, 0, 0, -1, 0],\n [0, 20, 2, 23, -8, 6, -23, -24, 7, 16],\n [-7, -9, 18, 7, -14, 23, -23, 17, 23, 0],\n [9, -18, 10, -19, 20, 20, 10, -10, -2, -... | 18316 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-16, -5, -6, 22, -18, 10, 3, 16, -14, -12],\n [22, 24, -5, -4, -5, 18, 24, 4, 13, -6],\n [-2, -3, -19, -17, -25, 0, 12, 12, 18, -4],\n [18, -16, -20, -9, 25, 24, 12, -2, 25, -16],\n [-18, -5, -20, -5, 13, -2,... | 49732 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[8, -13, 13, 16, 19, 22, -12, -15, 16, 12, -22],\n [7, -19, 15, -18, 11, 25, -16, 17, -11, 12, -11],\n [-21, 3, -7, 25, -16, -14, -22, 5, -8, -10, 14],\n [10, -1, -3, -14, 8, 10, 11, -23, -17, -8, 17],\n [9, 8, 15,... | 744 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[19, -23, 16, -5, 9, 15, 14, -23, -1, 19, 12],\n [19, -6, 18, 19, 8, -5, 22, -3, -20, 25, -13],\n [23, -3, -17, -9, -24, -7, -7, -19, 16, 16, -6],\n [-17, -9, 1, 21, -24, 10, -7, -9, -21, 13, -8],\n [... | 64086 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[18, -1, 14, -13, -22, 20, -12, -13, 1, -20, -9],\n [10, 14, 23, 9, -9, 15, -24, -13, -24, 2, 17],\n [0, -4, 21, 17, -23, 9, -14, -2, -21, -6, 13],\n [13, -13, 15, 19, -14, -13, -16, 7, 14, -10, 19],\n [9, -23, -21, 0, ... | 17777 | MATH |
[
{
"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[0, 12, 20, -1, -15, -18, -18, 7, -19, 12],\n [-5, -18, 25, -5, -6, -18, 20, 5, 24, 3],\n [22, -17, -11, 4, 0, -16, 3, -10, 10, -6],\n [19, 11, -4, -19, -3, 15, 14, 3, -10, 12],\n [2, 22, 12, 5, -12, 7, -17, 1, -2, -13],\n... | -6 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, -5, -9, -10, 5, 25, -17, 5, -12, 23],\n [11, -24, 22, 20, -12, 7, 9, 13, 21, 25],\n [-6, -24, 25, 15, -7, 11, -8, -10, -22, -14],\n [3, -19, -12, -14, 9, -21, -9, 16, 6, -16],\n [17, -9, -21, 19... | -1104 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 11, -7, 7, 21, -10, -3, -19, 0, 6],\n [-14, -18, -21, 16, 2, -21, 23, 0, -21, -4],\n [-11, -13, 2, 7, 17, -3, 7, 17, -8, 24],\n [4, 0, -10, -13, 13, 7, 0, 22, -25, 23],\n [12, -24, 23, -20, 20, 24, 12, 16, -2, -8],\n... | -2757 | MATH |
[
{
"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[19, -5, 3, -6, 12, -6, 24, -1, -24, 6],\n [0, -20, 15, -23, 7, -25, 25, -21, -13, -7],\n [-14, 22, -1, 25, 9, -14, 4, -21, 8, -4],\n [13, -13, 21, -23, -6, 5, -21, -2, 14, 7],\n [-18, -2, 24, -6, -10, 24, -14, -1... | -1432 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-15, 5, 23, 22, 13, 10, 4, -3, -7, -14, -11],\n [5, 17, 11, 11, -11, 3, 24, 17, 0, 18, -24],\n [-6, -11, -22, -4, 24, 12, -3, 0, 25, -15, 2],\n [-24, -18, 3, -15, 11, -8, 24, -12, -16, 9, -17],\n [9, -15, 18, -14, -23,... | 4301 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[21, -12, 7, 22, -16, -7, 4, -4, -23, 11, 15],\n [-8, -15, 22, -24, -14, -20, 17, 14, 18, 3, 4],\n [-24, -17, 21, -24, 3, 7, -16, 8, 18, -18, 11],\n [7, 21, -20, 18, 14, 19, -7, 6, 1, -25, 17],\n [7, 14, 6, -21, -9, -18, 16, 8, ... | 9957 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[-10, -9, -10, -7, -18, 12, 12, 3, 15, 10],\n [0, 5, 18, -14, -9, -11, -17, 13, 16, 22],\n [-14, 6, -1, 13, -8, -11, 6, -20, 18, 17],\n [9, 8, 12, -21, -8, -10, -18, -1, 6, 0],\n [-4, 5, 17, -16, -14, 2, -2... | 221 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -19, 13, -7, -20, 17, 3, 17, 13, -24, -7],\n [-22, -20, 23, 11, 2, 4, -19, -17, -1, 7, -25],\n [25, -20, -8, -16, 2, -15, 7, -25, -13, 11, -6],\n [-25, -23, -8, 15, -12, 5, 1, -9, 20, 3, 10],\n [11, 0, -9, -4, -1, -24, -4, -... | 4216 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, -10, -2, -13, -2, 0, -24, -10, 12, 20],\n [-25, 23, -15, 25, 9, 17, 3, 11, -9, 13],\n [16, 2, 3, 17, -23, -16, 16, -12, -14, 21],\n [16, 4, 6, 6, 16, 6, 0, 25, -25, 16],\n [-24, -9, 4, 13, -19, 1, -17, -4, 8, 20],\n... | -11323 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 5, -9, -15, -6, 22, -17, -24, 11, -25],\n [-22, 10, -1, -23, -17, -4, -3, -14, -16, 8],\n [17, -16, 4, -4, -20, 24, -24, 4, -24, 6],\n [16, -10, -14, -25, -18, 22, 24, -13, -11, 18],\n [-18, -16, 20, -21, 24, -7, 21... | 3492 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, 23, -13, -13, 2, -24, -16, -4, -13, -17],\n [7, -12, 22, -6, -11, 6, 7, -9, -2, 4],\n [-13, 21, 22, -10, -24, -9, 6, 17, -18, -23],\n [-14, -6, -10, -12, -10, 23, 17, 23, 25, 7],\n [4, -14, -11, -8, 2... | -1182 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[16, 3, -25, -22, 6, 7, 23, 0, -9, 13, -3],\n [6, -11, -13, -24, -7, -2, 19, -2, -15, -4, -11],\n [-16, 15, 1, -17, 2, -25, -9, 5, 18, -16, 11],\n [3, -8, 21, 12, 13, 23, -20, 14, -14, -12, 18],\n [-16, -6, -11, 5, -19, 15, -16,... | 800 | MATH |
[
{
"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-11, 20, -13, -15, 19, 0, -4, 2, -2, 3],\n [-17, 16, -22, 23, 20, -8, 17, -10, 7, 3],\n [13, -16, -17, 5, 2, -23, -12, -1, -11, -24],\n [-2, -12, 22, -19, 10, 24, -2, 1, 11, 12],\n [4, 1, 13, -11, 0, -25, -22, 3, -... | -716 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-22, -10, -10, -5, 0, 10, -7, -9, 19, 0, -4],\n [2, -25, 18, 10, 17, 11, -24, -9, 14, 12, -5],\n [-17, -13, -15, -10, -10, -24, 16, 18, -18, 17, 16],\n [-13, -9, 13, -2, -23, 4, -13, -7, -19, -17, -7],\n [19, 14... | -9795 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -21, 7, -21, 12, 8, 0, -25, -22, 13],\n [0, 7, 7, -18, -6, -10, -5, 19, 0, -3],\n [-8, 5, 16, -14, -25, 16, -17, -23, 25, 0],\n [-17, 16, 25, -10, -2, 24, -12, -23, 8, 7],\n [24, -2, -17, -13, -24, -19, 22, -5, -7, -1],\n [2... | 14578 | MATH |
[
{
"content": "Find the value at position (1, 6) of the product of the following matrices:\nA =\n[[-21, -12, -23, -3, 13, 4, 24, 19, -3, 1],\n [-16, -1, -13, -10, 15, 8, 11, -4, -9, -3],\n [10, 23, -17, -24, 6, 24, -4, 17, -13, -18],\n [-25, -9, -14, -22, -13, 5, 15, -19, -3, -2],\n [-21, -21, -9, 4, -17, -20, -... | 372 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, -11, 22, -18, -13, 17, -19, -9, 24, 6],\n [-4, 25, -13, 21, -3, 3, -4, -25, 3, 22],\n [-21, 9, -16, -7, 11, -19, 20, 9, 19, -13],\n [-16, -24, -20, -18, 10, -1, 18, 21, 14, -19],\n [20, -3, -7, 20... | 60032 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 2, 13, 12, -17, -14, -11, -5, 9, 16],\n [7, 25, -7, -3, -13, 18, -25, 25, 3, -2],\n [-10, -1, -3, 2, 21, -10, 17, 12, -15, -23],\n [-11, -25, -19, -25, 23, 6, -17, 3, 0, -3],\n [19, 17, 3, ... | 45985 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[18, -5, 16, -16, -3, -23, 6, -6, -16, 3, 15],\n [25, 20, 8, 11, -6, -18, -19, -20, -15, 18, -8],\n [25, 16, 3, -1, -5, 20, -23, -8, -2, 21, 12],\n [-16, 1, -14, -19, -9, -25, 24, 0, -11, 25, 7],\n [11, 21, 5, 9, -25, -... | -17888 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -20, -25, -18, 7, 25, 17, -5, -2, -1],\n [21, 17, -7, 3, -16, -14, 7, -19, -9, -16],\n [5, -20, -9, 24, 11, -8, 0, 23, -10, -18],\n [-2, -13, 3, 6, -2, -10, -15, 6, -20, 9],\n [7, -8, 11, -13, -16, 11, 0, 20, -9, -25],\n [-... | 6921 | MATH |
[
{
"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[-1, 1, 18, 1, 13, -1, -2, -18, -17, 20],\n [11, 4, -7, -10, -2, 18, -5, 10, 14, 13],\n [21, -20, -21, -12, 19, 16, 24, -22, -18, -2],\n [-15, -9, 24, -5, 0, 17, 22, 18, 19, 1],\n [-10, 0, 7, 5, 22, 21, -20, 18, -18... | -424 | MATH |
[
{
"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-12, -25, -10, -8, -19, -11, -2, 23, 25, -13],\n [-17, -11, 9, -2, 7, -10, -18, 3, -3, 19],\n [5, 14, 23, -12, 4, 13, 1, 21, -10, 25],\n [-20, 7, 18, -8, -10, -14, -6, 19, 14, 3],\n [4, 0, -4, 7, 13, 21, 3, -4, 1... | -279 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -7, -23, -17, 10, 5, 23, -9, -3, 8, 15],\n [15, -21, -11, 21, -23, -7, 2, -23, 12, -22, -2],\n [5, 19, 19, -15, 11, -25, -17, -9, -25, -23, 21],\n [0, 5, 0, -3, 4, -16, -18, 18, -1, -4, -11],\n [15, -16, -6,... | -16514 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -2, -15, -13, 1, -18, -16, -18, -6, -18],\n [-17, -19, -12, 2, -24, 17, -18, -13, -5, 21],\n [2, 9, -3, 20, -11, -24, 25, -14, 10, -23],\n [-21, -23, 21, -7, -24, 18, 11, -9, -12, 2],\n [1, -16, -23, 10, 12,... | 874 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 9, -13, -14, 21, 24, -21, 13, -15, -15, 21],\n [16, 21, 5, 5, -13, -12, 23, 19, 16, -1, 7],\n [7, -11, -10, 18, 12, -20, 18, -1, -11, -22, -22],\n [4, 8, 1, 5, 6, 18, 13, -17, 15, -18, -12... | 66637 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -7, 16, 1, 8, -22, 12, -19, 22, -19],\n [24, 0, 0, -7, -17, -6, 16, 19, 24, -10],\n [-9, -4, -13, -14, -16, -25, 6, 4, -18, -5],\n [-4, -8, -24, 22, 18, -17, -23, 0, -5, 4],\n [2, 10, 0, 8, -18, -16, 22, 17, 24, -12],\n [14... | 5782 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-20, -8, -12, -7, -12, 14, -9, 9, 3, 16],\n [-9, 17, -18, -25, 19, 10, -19, 20, -21, -2],\n [2, 17, -9, 11, -6, -23, 11, 0, -11, 25],\n [22, -18, -13, 22, -23, -25, -17, 5, 15, 0],\n [-9, 8, -... | 58405 | MATH |
[
{
"content": "Compute the value at position (9, 5) of the product matrix AB given:\nA =\n[[16, 10, 24, 19, -13, 20, -8, 7, -5, -10, -11],\n [-21, -20, 12, -23, 22, -14, 10, 7, 10, 7, 5],\n [-5, 1, 1, -18, 11, 6, 0, -24, -14, -4, -9],\n [-19, 17, -22, 11, 12, 6, -15, -25, -1, 16, -2],\n [17, -9, -18, 19, 1, -8, ... | -65 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-15, -9, 22, 19, -4, 11, -6, 22, 22, 22, 20],\n [-20, 8, -12, 22, -3, -6, -13, 21, 18, 15, 6],\n [0, 24, -12, 10, -18, 14, -4, -4, -10, 1, -16],\n [-1, 5, -5, 1, -9, 7, 5, 24, 16, 0, -5],\n [10, -25, -22, -... | -1700 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (7, 9) of the result:\nA =\n[[-23, 15, 17, -5, -13, -8, -2, 1, -22, -4, -2],\n [14, 19, -16, -24, 14, -20, 22, -8, -9, 12, 19],\n [-3, 20, 4, -5, -16, 17, -13, -14, -17, -22, 13],\n [-2, 8, 13, 15, -21, -11, 24, -22, 25, 13, -18],\n [2... | 1119 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -15, 18, -12, 19, 3, -16, 24, 22, -21, -18],\n [20, -21, -2, 14, 0, -20, -10, 10, -14, -15, -23],\n [18, 11, -20, -7, -8, -10, -3, 17, 11, -17, -23],\n [-18, 12, -22, -14, 18, 5, -1, -10, 16, -12... | 69596 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[14, 17, 2, -8, -7, 12, 6, -4, -24, -13, -3],\n [-1, 2, -15, 7, -2, -24, 4, -9, 14, 8, 12],\n [-4, -21, 22, 14, 25, -10, -13, 0, 5, 13, 22],\n [-3, 22, -14, -12, -8, 1, 2, -8, -10, -10, -13],\n [3, -17, 0, 2, 15, -... | -649 | MATH |
[
{
"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-18, -18, 8, -10, 15, -13, -3, -14, 1, -4],\n [6, 23, 1, -24, 19, 7, 0, 2, -7, 17],\n [-21, 7, -6, 4, 19, -18, 12, -9, 18, -25],\n [-23, 20, 0, 5, -18, 17, 20, -18, 9, 13],\n [2, 25, -22, -10, -13, -6, 25, -21, 1... | 248 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -9, -17, 9, 3, 13, -8, -14, -7, 22],\n [-4, 23, -11, -25, -24, -18, -4, -1, -24, 25],\n [-17, -17, -13, -20, 4, -11, 25, -11, 24, -19],\n [-15, 14, 12, 14, -24, 25, 22, 13, -16, 18],\n [-9, -19, 14, 13, -22, ... | -949 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-25, 2, 22, -11, -9, 0, -6, -1, -13, 7, -1],\n [-18, -21, -20, -3, 4, -12, -3, -15, 5, -20, -15],\n [-13, -14, -24, 9, 10, -9, 2, 2, -4, 12, -19],\n [-11, 6, -15, -2, -23, 4, -20, -24, -12, 15, -8],\n [25, 18... | 50096 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 10, 19, -24, 2, 0, -3, -11, 10, 1, -20],\n [9, 13, 12, 9, 10, -16, 4, 15, 12, 3, 17],\n [13, 24, -22, -21, -22, 10, 19, -10, -1, -12, -15],\n [3, 8, -4, -12, -2, 13, 0, 17, 10, 13, -10],\n [12, 6, ... | 56325 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[12, -4, 19, 15, -17, -17, -11, -13, -4, -10],\n [6, -24, 0, -12, 12, 8, -18, 10, -5, 20],\n [17, 2, 20, 18, 22, -20, -6, 5, 7, 18],\n [-19, -18, -17, -24, -9, 19, 11, 16, 18, -9],\n [12, 9, 21, 13, 4, ... | 47992 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, 16, -24, -24, 1, -12, 22, 13, -14, 6, 2],\n [2, 20, -1, -22, 0, 10, 24, -23, -25, -9, -19],\n [22, -21, -7, 13, 20, 8, 9, 23, -10, 14, 24],\n [21, 13, 1, 15, 12, 24, 24, -1, 0, -12, -12],\n [-1... | 2383 | MATH |
[
{
"content": "Compute the value at position (8, 10) of the product matrix AB given:\nA =\n[[19, 15, 12, -7, -12, -5, -11, -23, 11, 24],\n [20, -10, -12, -17, 21, -19, -12, -20, -5, -11],\n [-18, 8, 14, -25, 6, 23, 25, -21, 4, -4],\n [-6, -10, -19, -19, 24, 24, -24, 21, -12, 5],\n [24, 15, -12, -21, -15, 14, -21... | -352 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 10, -24, -8, -13, 25, -21, -6, -24, -15],\n [4, 6, 6, 24, 12, 2, -16, -4, -9, -4],\n [17, -7, -9, -2, 10, 6, 20, 10, 2, -12],\n [10, -20, -17, -5, -14, 4, 5, 14, -22, 5],\n [1, -1, -21, -20, -21, ... | 65512 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-18, -21, 25, -22, -12, -10, -6, -2, -20, 5, -20],\n [9, -11, 3, -23, -15, -23, 2, -16, 24, 7, 22],\n [-10, -16, 7, 10, -23, -21, -14, 18, -13, -2, 18],\n [6, -10, 6, 19, 11, 10, -5, 21, -14, 25, -5],\n [25, -5, 17, -2... | 6919 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, -20, -23, -21, -17, 2, -7, 2, 1, -13],\n [12, 17, -5, 1, 20, -20, 12, 23, -15, 21],\n [15, -9, 13, -19, 4, -5, -25, -1, 6, -18],\n [-21, 4, 25, -18, 23, -7, 18, 4, -11, 10],\n [18, 1, -13, -12, 11, 22,... | -1271 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 23, -12, 20, 9, 3, -14, -8, 18, -24, -24],\n [-9, -16, -8, -4, -7, -25, -2, 10, -1, 10, 5],\n [5, -24, -7, -14, -16, 5, 19, -4, -3, -3, -11],\n [0, -23, -3, -6, 19, 14, 13, -18, -8, 15, -20],\n [1, 10, -11, 11, -21, ... | -9196 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-25, -8, 14, 17, -11, 22, 23, -9, 18, -16, -6],\n [-20, -18, 19, 8, 6, 25, 16, -22, 18, 24, 13],\n [-6, -2, -2, 0, -1, 10, -19, -16, 21, -14, -25],\n [24, -1, -10, -21, -7, -22, -20, 0, 23, 13, 13]... | -1381 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[25, 10, -9, 25, -23, -12, 23, -13, 15, 1, -25],\n [-9, 22, 24, 8, -12, -9, -23, 8, 14, -1, -24],\n [8, 0, 5, -17, 4, -6, -5, 3, -1, 12, 18],\n [-1, -17, 13, 18, 0, 11, -10, 11, -14, -2, 0],\n [-6, -17, -3, 13... | 58195 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-24, -13, 14, -5, 5, 22, 10, 22, 12, 1],\n [10, 22, -3, -5, -13, 11, 21, 0, 14, -19],\n [20, 13, -4, 13, -3, 4, -8, 16, -8, 20],\n [-16, 13, 4, 0, -19, -19, -21, -25, 20, -8],\n [-13, -1, 14, ... | 57578 | MATH |
[
{
"content": "Compute the value at position (5, 7) of the product matrix AB given:\nA =\n[[13, 15, 14, -13, -12, 18, 14, -4, -8, 22, 3],\n [17, -10, 20, 9, 8, -23, -22, -21, -16, 3, 6],\n [5, -24, -14, 1, -21, 11, 1, -3, 7, -22, -5],\n [-2, 18, 5, 18, 22, -2, 23, -16, 23, 23, 24],\n [-24, 5, -1, -22, 25, -15, -... | -713 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (7, 8) of the result:\nA =\n[[24, -2, -24, 9, 2, -7, 7, -5, -16, 20, 19],\n [-17, 12, -20, 25, 16, 9, -8, -7, -21, -1, -15],\n [-16, -9, 10, 0, 5, 6, -5, -8, -8, -25, -12],\n [-18, -24, 25, -11, 8, 10, -25, 25, -5, 16, -25],\n [6, -6, ... | 459 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[22, -18, 23, 14, -9, -1, 15, -14, 3, -1, 25],\n [10, -1, 3, -15, -22, -12, 20, 12, -9, -24, -18],\n [10, -16, -19, 10, -10, -12, -10, -1, 15, -22, 3],\n [-20, -25, 13, -25, 25, 14, -23, -25, -25, 13, -5],\n [19, 4... | 1610 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -5, -10, 21, 13, 8, 16, -11, -20, -24],\n [-2, 23, 2, -25, -25, 2, 10, -6, 22, -18],\n [-25, 0, 25, 17, 23, -1, -16, -14, 15, -19],\n [-14, 21, 14, -9, -21, -12, 8, 22, -9, 9],\n [-25, 24, 24, 10, -11, -7, 25... | -14825 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[11, 13, -15, -12, -3, -10, 24, -5, -22, 7],\n [21, -12, -7, -21, 10, 5, 19, -8, 18, 5],\n [4, -5, 21, 4, 15, -22, -21, 15, 19, -16],\n [1, -10, 4, -13, 10, -5, 19, 14, 19, -11],\n [-6, -6, 19, -21,... | -1792 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, 9, -14, 25, -1, 19, 5, -16, 21, 8, 25],\n [-23, 20, 13, -18, 6, 17, 3, -4, -6, -20, 17],\n [23, 3, 16, -9, 5, 8, 12, 11, -22, -24, -14],\n [9, -20, 20, -18, -5, 20, 9, 22, -11, -19, -11],\n [19, -20, 21, -9, -... | -1674 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (7, 5) of the result:\nA =\n[[12, 1, 12, 14, 19, 24, -3, 5, 10, -9, 11],\n [-23, 10, -21, 20, -11, 23, -20, -16, 6, -3, 22],\n [-9, 20, -6, 18, 15, -11, 18, 20, -4, 24, -20],\n [-22, -3, 18, 19, -7, 19, 5, 18, -23, 2, -23],\n [-12, -8,... | -222 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[6, 11, -8, -6, 20, -24, -3, 4, -23, 20],\n [13, 21, 23, -25, 15, -4, 3, -12, 22, 2],\n [-5, 19, 6, -20, -25, -5, -22, -23, 23, 4],\n [5, 8, -7, -6, -3, 14, -1, -11, 12, -3],\n [-24, -11, 18, 9, -16, -12, 1... | 370 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-23, 19, -22, 24, -24, -6, -11, 23, 6, 16],\n [-25, 12, 9, 25, -19, 19, -13, 23, -25, -12],\n [3, -23, 20, -2, -25, 22, -16, -13, 10, -17],\n [-12, 10, -16, 14, -3, 9, -19, 16, 9, -24],\n [-11, -17, 21, -9, 13, -8, -11, ... | -7128 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 7, -22, -23, 16, -14, -8, -3, -6, -20],\n [8, 16, -24, 4, -17, 1, 16, 8, 14, -2],\n [23, -9, 3, 10, 24, -14, 5, 23, -17, -7],\n [20, 20, -9, -24, 14, -21, 13, 22, -10, -9],\n [1, -19, -18, -18, -3, 6, 17, 21, -8, 12]... | 3031 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, -21, -19, -8, -15, 6, 24, 1, 0, 11, 19],\n [2, 24, -24, -6, -22, -13, -2, 22, 12, 14, 22],\n [19, 3, 10, -24, 15, -8, 23, -18, -11, 15, -9],\n [-3, -24, -20, 3, 1, 11, 23, 8, -8, 16, -16],\n [1... | -416 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -24, 20, 3, -24, 8, 1, 13, 18, 12, -8],\n [10, -7, 1, 19, -6, -5, -3, 4, -1, 5, 1],\n [8, -18, -7, 15, 0, 2, -22, 5, -10, 25, -16],\n [12, 22, -16, 19, -17, 13, 10, 25, 10, -7, -7],\n [-14, -13, -1, 10, -1, 2, 16, 1... | -1244 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -21, -15, 3, 19, -11, -20, 22, -11, 17, -6],\n [8, -24, 18, -10, -7, 8, 23, -12, -2, 2, 22],\n [6, 11, -16, 23, 19, 22, -17, -2, 10, 3, 3],\n [22, -3, 1, 5, 17, -19, 23, 19, -22, -12, 16],\n [16, -16, 18, 8, 0, -3, -1... | -4438 | MATH |
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