| {"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -5, -4, -7, 0, 10, -11],\n [-12, 11, 6, 12, -1, 2, -6],\n [-9, 5, 7, -1, 2, 6, -12],\n [-11, 2, -3, -10, -8, 8, -2],\n [8, 4, -10, -12, 9, 3, 10],\n [6, -11, 10, 12, -4, -2, 4],\n [4, -9, 7, 0, 7, 0, 1]]\nB =\n[[-3, -7, 3, -12, -10, -10, 0],\n [2, -6, -4, -3, 7, 12, 11],\n [-4, 10, 6, 10, 12, -1, 7],\n [-7, 7, -11, 0, 12, -10, 11],\n [-6, 4, -6, 12, 4, -6, 8],\n [11, 4, -8, -7, -7, 9, 6],\n [-8, -7, -3, -2, 9, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6573", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[-10, -10, -12, -9, 2, -2, 12],\n [5, -3, 8, -11, 7, 1, 5],\n [8, 0, -1, 2, -9, -2, -5],\n [-5, -2, 11, -1, -11, 8, 7],\n [12, -1, 8, -4, 2, 0, 6],\n [1, -8, -5, 3, 12, 3, -10],\n [-8, 1, 4, 4, 0, -9, 1]]\nB =\n[[0, -1, 11, 1, 9, 12],\n [-4, 11, 2, 0, 7, 5],\n [-10, 11, -3, -6, -4, 12],\n [12, -5, -3, 3, 0, -5],\n [4, 6, -11, 9, 6, -9],\n [-1, -12, -6, -5, -9, 11],\n [0, 5, -2, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-5, -7, 11, -1, 0, 11, -4],\n [2, 0, 2, -2, 5, 9, -2],\n [-1, 11, 8, -3, 0, 5, -5],\n [-7, 6, -4, 3, -1, -4, 11],\n [7, -1, 1, -8, 1, 12, -7],\n [4, 6, -5, -4, 1, 2, 10]]\nB =\n[[-6, 6, -11, 4, 0, -1, 0],\n [-4, -12, 8, -3, 7, -8, -12],\n [3, 3, -1, 6, 3, 8, 9],\n [-4, -2, 9, -3, -4, -9, -10],\n [-3, 5, -12, -11, 4, 10, -1],\n [-7, -8, 6, -11, 12, -12, 3],\n [-5, -7, -7, -6, -5, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -4, -8, -11, -12, -2, -3],\n [-5, -3, 10, -10, -7, 0, 6],\n [-7, 7, 2, -7, -10, -8, 5],\n [3, -1, 3, -1, -3, 6, -2],\n [-3, 10, -9, 9, 7, 2, -12],\n [8, -10, -2, -5, -12, -9, 5]]\nB =\n[[-3, 11, 4, -6, -12, -10, 12],\n [9, -2, -3, 2, 7, 12, -5],\n [0, 10, 11, -3, 3, 9, -6],\n [-8, 1, -3, 7, 0, 11, -5],\n [7, 6, -9, 7, -11, -8, -3],\n [11, 2, 8, -2, 5, -11, 4],\n [-8, 5, 4, 11, 4, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[5, -9, -11, 11, -2, -3, -10],\n [12, -1, -2, 2, -5, 11, -7],\n [-8, 7, -6, 0, -2, 2, -11],\n [6, 9, -5, -7, 4, -8, -8],\n [7, -12, 2, 10, -4, -2, 3],\n [5, -2, -2, 6, -11, -12, 3],\n [-11, -8, 2, -11, -2, 5, -3]]\nB =\n[[-10, 3, 4, 9, 5, -8],\n [-5, 12, -8, 9, -3, -11],\n [-12, 2, -12, 12, 2, 1],\n [4, -3, -2, 10, -12, 10],\n [1, 1, 8, -10, 11, -5],\n [0, 1, 9, -7, 9, 2],\n [1, -2, 5, 7, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -2, 0, -7, 7, 3, -4],\n [0, -11, 10, -3, 9, 11, 8],\n [11, 8, 12, -10, 5, -4, 6],\n [1, 1, -1, 2, -9, -11, 6],\n [-10, -1, 3, -12, 9, 5, 12],\n [-7, 1, -10, -5, 10, 11, -11]]\nB =\n[[-11, -4, 2, 4, -2, 7],\n [-6, 8, -11, 6, -11, 2],\n [11, -7, -2, 11, 12, 11],\n [8, 5, 2, -10, -5, 1],\n [-6, 8, 11, -9, 4, -11],\n [-2, -1, -9, 4, 2, -12],\n [4, -10, -11, -11, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, 6, -1, 4, -1, 1, -2],\n [3, -2, 6, 4, -5, 6, -3],\n [-4, 7, -6, -2, 6, -8, -12],\n [11, -11, 9, -8, -11, -7, 10],\n [10, 6, 4, 8, 5, -3, -10],\n [3, 4, -12, 0, 7, -9, 4]]\nB =\n[[4, -6, -7, 6, 2, 11],\n [-6, 7, -8, -5, -5, -10],\n [-1, 6, 3, -6, 10, -9],\n [7, -11, 10, 6, 4, 11],\n [5, 10, 0, -2, 4, -10],\n [-4, 11, 12, 2, -6, -7],\n [3, -8, 9, -3, -7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, -4, -7, 12, 7, 12, -10],\n [-1, 10, 1, -1, -1, -2, -9],\n [2, 1, 10, 3, -1, 10, 0],\n [9, 0, 4, -9, 2, 10, 7],\n [-3, -11, -4, 9, 1, 6, -7],\n [-9, -4, 10, -1, -2, -12, 9],\n [1, -12, 12, -11, 4, -7, -9]]\nB =\n[[7, 3, -10, 0, 4, 7, -9],\n [-4, 6, -1, 12, 5, 4, 1],\n [12, -8, 4, -3, -6, 6, -5],\n [12, 4, -10, -6, 8, 11, 4],\n [-6, 10, -7, 1, -12, 7, -6],\n [4, -2, -7, 11, -5, 2, 10],\n [6, 10, -11, -4, -5, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -10, -6, -3, 3, 3],\n [8, -4, -8, -6, 6, 6],\n [0, 10, 10, -1, 2, -1],\n [0, 2, 6, 12, -1, 6],\n [11, -6, -5, 9, -10, -5],\n [-4, 8, -4, 4, 11, 8]]\nB =\n[[2, 7, -2, -2, 9, -9],\n [3, 2, 5, -11, 6, -2],\n [2, -8, 0, -2, 1, -5],\n [3, -8, 10, 6, -10, 5],\n [-9, -10, 1, 5, 10, -6],\n [-7, 1, 11, 3, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-11, 9, 0, 11, -7, -7, 3],\n [11, -8, -12, 7, -1, -6, 4],\n [10, 9, 5, 2, -5, 3, 10],\n [8, 10, -5, -10, 8, -1, -2],\n [3, 4, -8, 8, -8, 5, -9],\n [5, 4, 9, -2, -10, 7, -1]]\nB =\n[[6, -8, 4, 9, -12, -8],\n [7, 10, 9, -8, -9, -12],\n [-9, -2, 1, -10, 0, 8],\n [-1, 4, -2, 10, -3, 8],\n [6, -10, -2, 10, 7, -7],\n [9, 5, 6, 10, 10, -11],\n [5, 7, 0, 7, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4215", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 10, -10, 5, 10, 9],\n [-7, 12, 3, -6, -4, -1],\n [1, -1, 6, -12, 8, -3],\n [-8, -11, 5, 6, -1, -4],\n [-8, -8, -9, 1, 7, 0],\n [-1, -6, -12, -5, 3, 3]]\nB =\n[[0, -2, -5, -4, -1, 5, -5],\n [6, -3, -7, -11, -9, -4, -7],\n [-3, -2, 2, -5, -5, -5, -3],\n [-5, -8, -4, -1, 9, -4, 7],\n [-12, -10, -7, 8, 5, -10, -7],\n [4, 7, -3, -12, 1, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3590", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-3, 11, 8, 0, -2, 9, 5],\n [-4, 5, -2, 6, -11, 9, 3],\n [6, -1, -6, -4, 0, 6, -10],\n [-1, 9, -9, -2, 0, -11, 10],\n [11, -9, -6, 3, 9, 10, 7],\n [10, 8, 1, -1, -6, -7, 3],\n [10, 11, 6, 8, 10, 9, 3]]\nB =\n[[6, 11, 3, -8, 12, 8],\n [-1, -8, 2, 1, -6, -10],\n [8, 11, -12, 9, 5, -5],\n [-5, -3, 1, 11, 0, 4],\n [2, -6, -3, 2, -11, -11],\n [-3, 12, -12, 12, -12, -4],\n [-1, 5, -1, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 7, 4, 9, -10, 0],\n [5, -1, -11, 5, -5, -2],\n [8, -4, -8, 12, -2, -6],\n [3, -2, 9, 6, 4, 5],\n [11, 2, -3, 6, 0, -2],\n [1, 4, 5, 3, -5, 5]]\nB =\n[[11, -2, -1, 3, -11, -1],\n [10, -9, 8, 5, -5, -9],\n [12, 11, -6, 7, 1, -10],\n [0, 2, -10, -12, 8, -5],\n [9, -8, -2, 12, -6, -8],\n [0, -12, 0, -1, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-726", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 1, -7, -7, 1, 2, 10],\n [2, -3, 12, -3, -10, -10, 2],\n [-4, 8, 6, 3, 0, -3, 6],\n [11, 0, 10, 12, 0, -11, 12],\n [4, 9, 3, 5, -5, 4, -7],\n [-12, -9, 1, 0, -1, -11, 4]]\nB =\n[[-1, 11, 11, 2, -9, -10, 4],\n [2, -11, 8, -9, -11, -12, -12],\n [-12, -4, -6, -3, 9, 12, 5],\n [10, 6, -4, 7, -5, 7, -11],\n [-10, -2, 4, -12, -4, -8, -7],\n [7, -9, -12, 12, -1, 5, -4],\n [-2, 4, 1, -1, -5, -12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the value at position (6, 3) of the product matrix AB given:\nA =\n[[3, 11, -8, -6, -9, 2],\n [-2, 7, -6, -5, -12, -4],\n [-8, -10, -4, -8, -6, -8],\n [-9, -1, 12, 5, 11, 11],\n [4, -6, 3, 4, -8, 8],\n [3, 4, 0, 1, -1, -11]]\nB =\n[[2, -9, -1, 3, 7, 4],\n [11, -12, -1, -5, -8, 5],\n [-5, 8, -1, -5, 7, -11],\n [-2, 0, -3, -6, -8, -11],\n [11, -2, 12, 10, -11, 0],\n [-9, 9, -6, -6, 12, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -3, 7, -4, 2, -8, 0],\n [2, 5, 6, -11, -5, 3, -1],\n [11, -12, 9, 11, -4, -4, -11],\n [1, -9, -12, -3, 10, 7, -1],\n [9, -12, -8, 0, -2, -2, -2],\n [0, -1, -7, -12, 3, 1, 4]]\nB =\n[[3, -1, 4, -9, -10, -4],\n [-6, 7, 7, -4, -9, -9],\n [11, 2, -9, 11, -9, 7],\n [-8, 11, 10, -1, -2, -9],\n [-11, -9, 0, 1, 6, -8],\n [8, -11, 5, 4, -9, -6],\n [0, -8, -7, -12, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 10, -5, -10, -12, -2],\n [10, -12, 9, -9, -8, 6],\n [3, 8, -5, -5, 8, -3],\n [9, 6, -4, -9, -6, -5],\n [-1, -1, -9, 7, 11, 2],\n [-11, 2, 5, -1, -1, 10]]\nB =\n[[9, 8, 2, 7, 10, 1, 9],\n [10, -1, -4, 7, 8, -12, 10],\n [-11, -1, 5, -10, -5, -8, -11],\n [8, 4, 10, 6, 9, 5, 0],\n [-7, -10, 7, -4, 7, 3, -5],\n [12, 8, 8, -2, -8, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -1, 7, 12, -9, 10],\n [-5, -11, 11, -2, -10, 4],\n [-4, 6, 12, -5, 8, 10],\n [12, 0, -12, 9, 1, 4],\n [1, -3, -1, -6, -8, -1],\n [10, -4, -6, -7, 6, 10],\n [-4, 2, -9, 2, -8, 5]]\nB =\n[[-4, -9, -10, 2, -5, -9],\n [9, 10, -11, 8, -11, -7],\n [-3, 3, -8, 3, 7, 9],\n [0, -11, 2, 4, -12, -10],\n [-4, -5, 5, 6, -11, 7],\n [9, -1, -5, -12, 4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1096", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, -12, -3, -5, 0, -3, -8],\n [-3, 10, -8, 1, 1, 2, -11],\n [10, 1, 6, 1, -12, -8, -3],\n [-8, -10, -7, 5, 8, 7, -12],\n [-5, -12, -6, -8, -11, 8, -11],\n [-7, -9, -8, 9, -10, -12, -7],\n [1, -4, 3, -2, -6, -1, 0]]\nB =\n[[10, -9, 6, 0, -12, 6, -4],\n [9, -11, -12, -8, 8, -5, 7],\n [5, 4, 10, -9, -9, -8, 10],\n [9, -3, -5, 1, -12, 9, 11],\n [-3, -2, -2, -8, -4, -5, -8],\n [-12, -5, -7, 4, 8, 11, -10],\n [-2, -6, 3, -7, 6, -11, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "573", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, 6, 6, 12, -7, -6, 12],\n [-10, 2, 11, -2, 7, 2, 1],\n [-5, -2, -12, 9, 0, 6, 3],\n [-1, 6, 11, 12, 9, 3, 9],\n [-8, 1, 10, -2, -3, -7, 2],\n [-12, 5, -3, -3, 11, 12, -4],\n [6, 8, -8, -5, -7, 10, 9]]\nB =\n[[-6, 4, 9, 1, -9, 10],\n [-2, -4, -12, 0, 3, 4],\n [11, -5, -10, 7, -3, 4],\n [-12, -5, 5, -7, -6, 9],\n [-12, 0, -2, -3, -11, -10],\n [10, -10, 5, -10, 2, -10],\n [-4, -2, 10, 8, 6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1181", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, 3, -9, -1, 1, 9, 0],\n [10, 0, 5, -8, -1, 5, 8],\n [4, 6, -7, 9, 6, -11, -6],\n [-9, -10, 6, 1, -4, -6, -4],\n [-9, 1, -7, -1, 6, -7, 1],\n [-7, 8, 8, -1, 0, -11, 0],\n [6, 12, -8, 10, 6, 7, -3]]\nB =\n[[-9, -1, 7, -5, -1, -6, 12],\n [12, -2, 0, -12, -12, -2, 8],\n [-8, 9, 11, 10, 12, -1, -7],\n [12, -3, 5, 3, -4, -6, 7],\n [10, -7, 12, 1, -11, 2, -4],\n [3, -12, 11, -3, -5, 11, -6],\n [5, 6, 8, 3, 12, -11, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "330", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -2, 9, 10, 5, -4, -7],\n [-10, 6, -6, -7, -6, 12, -3],\n [-2, 3, -4, -3, -3, 7, 5],\n [-6, -4, 3, 4, 5, -3, 9],\n [3, 12, -8, 10, 6, -12, 1],\n [-5, 9, -4, -10, -12, -9, -11]]\nB =\n[[-9, -6, 11, -10, 6, 0, 11],\n [-4, 6, -12, 6, -8, -4, 10],\n [-6, -7, -11, -8, 11, 1, -4],\n [-2, 1, 12, 11, -4, 5, 0],\n [-5, 4, 10, 5, -10, 5, -11],\n [-11, 2, -11, -11, 4, -10, 4],\n [0, 5, 10, -4, -6, -12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -5, -6, -7, 12, -3, -3],\n [-12, 11, 5, 2, 12, 1, -4],\n [-3, -3, -2, 0, -10, -3, -8],\n [-1, -11, 5, 5, -7, 5, 8],\n [11, 9, 12, -2, -3, 7, -2],\n [-12, -12, -10, -7, 5, -3, -1],\n [2, 4, -5, -2, 8, -12, 12]]\nB =\n[[-2, -12, -6, 0, -11, 3],\n [-4, 5, 10, -7, 6, 3],\n [-2, 6, 6, -1, 12, -1],\n [12, 0, 9, -4, 9, 3],\n [2, 3, 6, -7, -9, -7],\n [7, -1, -10, -4, 3, -10],\n [-8, 11, 10, -12, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4480", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -6, -12, 7, -6, -12, -10],\n [-5, 4, 7, 5, -4, 12, -3],\n [-10, 11, 5, 9, -1, 0, 0],\n [-11, -5, -7, -5, -2, -12, 1],\n [-6, 11, 9, 2, 1, -2, -3],\n [-8, -12, -11, -7, 3, 9, 8]]\nB =\n[[2, -6, 7, 3, 3, 6, 4],\n [-11, -10, 8, -2, -7, -1, 9],\n [3, -7, -8, -8, 11, 0, -10],\n [7, 3, 9, 12, 0, 0, 7],\n [7, -1, 3, 2, 5, -8, -10],\n [-7, 6, -9, 4, 11, 5, 5],\n [5, -3, 4, 12, -8, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-357", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 12, 6, 10, 1, 2, -9],\n [12, -4, 2, 3, -11, 8, 3],\n [0, -2, 10, 11, 1, -12, 9],\n [-1, 12, 3, -3, -5, 9, 3],\n [0, -3, 1, 12, 12, 7, 7],\n [-3, 7, 1, 8, 5, 11, 3],\n [-12, 5, 8, 11, -12, -4, 10]]\nB =\n[[1, 2, 5, -9, -12, 9],\n [-12, -7, 7, 2, 12, -3],\n [9, -1, -7, -10, -1, 0],\n [0, 3, 2, -6, 9, -10],\n [-10, -8, 11, 1, -12, -11],\n [-1, 9, 4, -11, -4, 11],\n [-2, -1, -10, 9, 12, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "218", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, -1, -6, -7, 3, -9, 6],\n [10, -6, -9, 12, 11, -4, -8],\n [2, 11, 0, 6, -7, -5, -6],\n [-1, 5, 1, -2, 8, -7, -3],\n [-1, 0, 1, -3, -7, 10, 6],\n [7, 11, -1, 12, 2, 9, 9]]\nB =\n[[4, 2, 3, -6, -11, 0],\n [10, 8, 9, 7, 2, -7],\n [1, 3, -9, -6, -9, -7],\n [-12, 5, -6, -9, -6, -10],\n [10, -7, -1, -4, -10, -2],\n [0, 9, -9, 10, 12, 5],\n [-3, 1, 2, -7, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -1, -9, -1, 10, -8, 9],\n [-1, 8, 4, 4, 3, 9, -6],\n [6, -1, -7, -2, 4, -6, -11],\n [4, 2, 5, 4, 5, 6, -4],\n [-5, -9, -6, -9, -12, 3, 2],\n [-3, 5, -8, -1, -7, -8, -4]]\nB =\n[[12, -4, 0, -1, 3, 0],\n [5, 7, 10, -4, 7, 0],\n [9, 6, 0, 10, -9, 3],\n [-3, 8, -1, -3, -6, -6],\n [11, -8, -2, -9, 3, -11],\n [1, -2, 4, 4, 2, 10],\n [-2, 10, 12, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-732", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 3, 4, 11, 1, 0],\n [0, -10, 0, 7, 12, 8],\n [3, 5, 12, 12, -1, -5],\n [9, -2, -7, -12, -8, 0],\n [9, 9, -7, -5, -9, 0],\n [-6, 10, -2, 2, -6, 7]]\nB =\n[[-11, 2, -4, 0, -1, 11, -9],\n [7, 8, 2, -7, 12, -11, 12],\n [7, -9, 7, -8, -10, 4, 4],\n [6, -6, 6, -2, -6, -9, -11],\n [0, -2, 0, -3, -10, 2, 8],\n [-6, 2, -2, 2, -12, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the value at position (1, 6) of the product of the following matrices:\nA =\n[[-11, -2, -3, 2, 12, 5, 4],\n [-4, -10, -6, -9, -9, -3, 6],\n [1, 7, 1, 9, 9, -1, 4],\n [11, 2, 4, 2, -3, -10, 5],\n [7, -8, 10, 10, 9, -9, -2],\n [-1, -6, -10, 0, 6, 9, -1]]\nB =\n[[3, -9, 9, 9, -6, -5, 1],\n [-6, 3, 3, 7, 0, 6, 7],\n [-1, -5, 5, -12, -10, -8, 11],\n [2, 11, -6, 10, -3, -4, 1],\n [-4, -2, -7, 12, 7, 9, -10],\n [-5, -4, -3, 7, -7, -11, 10],\n [8, 8, 8, -9, -1, -11, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-11, 10, -2, 6, 2, -1, 6],\n [12, 9, 9, -8, 3, -2, -6],\n [-2, 7, 5, 2, -1, 1, -7],\n [-6, -3, 4, 3, -5, 7, -12],\n [-9, 11, 7, 11, -6, -10, -12],\n [-4, 2, -9, 7, 9, -11, -10],\n [-5, -2, -4, 2, 1, 6, 2]]\nB =\n[[6, -4, 5, -4, 0, 6, -4],\n [10, -8, 8, 5, -10, -4, 1],\n [-7, -1, -12, -11, -11, -7, -5],\n [-5, 4, -6, 3, 9, -1, 12],\n [-4, 11, 12, 1, 8, 2, 11],\n [-3, -10, -12, 7, 9, -2, 3],\n [-8, 0, 2, -5, -4, -12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, 12, 0, 4, -12, -11],\n [-2, 2, 3, 6, 9, 12],\n [-4, 10, 7, 5, -9, 4],\n [-5, -7, -12, -10, -4, 12],\n [-6, -2, -12, -3, 6, -5],\n [10, -12, 9, -2, -2, 2]]\nB =\n[[-4, 2, -1, -11, -6, -1],\n [8, 7, 4, 4, 2, 9],\n [-3, 1, -5, 1, -3, 4],\n [-2, -7, -10, 7, 2, 2],\n [1, -11, 3, -1, 7, 6],\n [12, 1, 2, 11, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-177", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-10, -7, 0, 0, 1, 8],\n [3, -11, -10, -12, -12, -7],\n [0, -8, -8, 3, -6, 5],\n [-10, 4, -2, 5, -8, -8],\n [10, -3, 3, -4, -12, 6],\n [-4, 1, -8, 10, 10, -8]]\nB =\n[[9, 0, 6, 11, -6, 3, -9],\n [9, -8, -8, -2, -8, -5, -1],\n [12, -10, 8, -5, 8, -3, 12],\n [-11, -7, 5, -7, -1, -9, -4],\n [1, -1, -3, 9, -5, -1, -5],\n [0, -6, 5, 11, 8, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -12, -1, -9, -8, 6, -7],\n [12, 11, -2, -5, 12, -7, -6],\n [11, 9, -1, 7, -5, 11, 1],\n [12, -6, 11, 8, -8, 9, 6],\n [-3, 5, 8, 2, -7, 7, -12],\n [-12, 0, -2, 8, -12, 5, -3]]\nB =\n[[5, -1, 11, 9, -7, 9, 3],\n [7, 1, 10, 0, 12, 5, 5],\n [-5, -6, -5, 7, 4, -6, 0],\n [5, 6, 8, -9, -2, 1, 11],\n [-7, -11, -4, 8, 4, 5, -2],\n [-11, 2, 5, 12, 7, 0, -10],\n [4, 9, 9, 10, -2, 11, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4736", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -3, 2, 5, -3, -5],\n [-6, -5, 4, -1, -9, 7],\n [9, 0, 9, -7, 12, -5],\n [9, -2, 9, 10, -6, -4],\n [12, -5, -12, 8, 8, 8],\n [8, 11, 2, 5, 6, -1]]\nB =\n[[-12, 4, 4, 10, -1, 3],\n [1, 7, -3, 2, 5, 4],\n [-6, 2, -12, 1, 8, -10],\n [-12, 1, 0, -3, 3, -3],\n [4, -2, -8, 6, -9, -10],\n [-5, -10, 1, 3, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3344", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, 10, 0, -7, -12, 0],\n [0, 0, -1, 1, -2, 7, 3],\n [-8, 3, 10, -4, 7, -3, -7],\n [-6, 11, 3, 11, 4, 10, 1],\n [0, -2, -2, 8, 0, -4, -1],\n [4, 4, 6, -3, 11, 1, -3],\n [1, -8, -3, -10, 3, -4, 9]]\nB =\n[[-9, 6, -10, -10, 11, -7],\n [6, -8, -1, -11, 10, 4],\n [-3, -2, -1, -12, -9, 6],\n [12, -4, 0, 5, 0, 9],\n [-3, 6, 3, 7, 4, 5],\n [7, -1, 9, 6, -9, 8],\n [12, -9, -1, -4, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3446", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 12, 12, -1, 2, -7],\n [2, 11, 5, 7, 8, -8],\n [-9, 7, 3, -10, 12, -1],\n [2, 9, -12, 2, 5, 2],\n [3, -10, 6, -12, 8, 10],\n [-12, -3, -7, 6, -12, -12],\n [0, -12, 7, 3, -8, -7]]\nB =\n[[-5, -4, 9, 11, 7, -2],\n [-10, 3, 11, 3, 4, -8],\n [10, -12, 9, 5, -4, -4],\n [4, -7, 5, 4, -10, 4],\n [-6, -12, 1, 5, 2, 1],\n [1, 2, 7, 1, 10, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4984", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[11, 9, -6, -2, 0, 8],\n [7, 10, 9, 12, -12, 0],\n [-11, 4, -5, 7, 10, 4],\n [11, 9, -2, 12, 4, 2],\n [7, -1, 4, -6, -11, -8],\n [-10, 1, -1, -2, -2, -2],\n [-1, -10, 9, 10, -1, -9]]\nB =\n[[8, -2, 10, -1, 11, 11],\n [4, -6, 9, 1, -12, -12],\n [-10, 6, -1, 10, 6, -1],\n [12, 5, -5, 3, 5, -6],\n [-12, -12, -6, -11, 10, 11],\n [9, 12, 1, -10, -5, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5063", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[3, 11, -8, 0, -6, -6],\n [8, -6, 12, -2, -12, -5],\n [3, 11, 1, -10, -11, -8],\n [10, -8, -7, 3, 8, 9],\n [9, 6, 12, -6, 11, 4],\n [-6, 5, 4, -5, 12, 11],\n [-7, 3, -4, -11, 1, 10]]\nB =\n[[-6, -5, 2, -9, 10, -3],\n [-6, -9, 1, -11, -8, -6],\n [-11, 7, -3, -1, 12, -1],\n [8, 1, 11, 2, -9, 10],\n [-2, -1, 8, -1, 12, 6],\n [2, -10, -8, -3, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the value at position (6, 6) when matrix A is multiplied by matrix B?\nA =\n[[-2, -7, 0, -3, 7, 8, -8],\n [-2, -8, 4, -11, -8, -3, 4],\n [-7, -7, 0, -5, 7, -3, -5],\n [9, -3, 11, 3, 10, 10, -7],\n [-6, -11, 2, 2, -3, -4, 1],\n [0, -10, -10, 7, 6, 6, 0]]\nB =\n[[6, -6, -5, -10, -10, -3],\n [0, 12, 8, 2, -12, 1],\n [12, -4, -1, 1, -3, 3],\n [-5, -9, 2, -1, -2, 6],\n [-4, -3, 5, 8, -12, 8],\n [0, 3, 11, -6, -4, -7],\n [7, 2, 11, -4, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -4, -7, 7, 11, -9],\n [-9, 2, -7, 3, -3, -12],\n [10, -8, -11, 10, -1, 8],\n [4, 4, 5, -7, -1, -5],\n [9, -1, -4, -2, 0, 12],\n [10, -12, 2, -9, -3, -7]]\nB =\n[[-4, -8, 2, -4, -10, -6, -4],\n [-6, -12, 10, 9, 3, -8, -7],\n [0, 3, 2, -12, -6, -12, 11],\n [-10, 12, 12, -9, 8, -5, -2],\n [6, 1, -4, -6, -4, 5, -6],\n [-9, -11, 3, 9, 8, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-645", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, -3, 1, 4, 9, -4],\n [-4, 6, 6, -6, 4, 1],\n [-1, -5, 12, 6, 4, -5],\n [-2, -12, 3, 10, 12, -4],\n [-4, 2, 1, -1, 12, 0],\n [5, -10, 11, -3, 4, -4]]\nB =\n[[11, 0, -11, 0, -8, 5],\n [-8, -8, 0, 8, -7, 0],\n [3, -8, -5, 11, 11, 1],\n [-2, 2, -5, -9, 11, 5],\n [8, -5, -7, -2, 6, -1],\n [-9, 10, -2, 3, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-209", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 5, -11, 11, 3, -11, 2],\n [9, -7, 1, -12, -2, 0, 12],\n [11, -11, -5, -9, -4, 5, 4],\n [-9, -4, -2, -7, -10, -8, 0],\n [-7, -12, -4, -6, -2, -12, 0],\n [-4, -3, 7, -7, -8, -5, -6],\n [10, -12, -10, 3, -1, -11, -2]]\nB =\n[[1, 6, -12, 0, 0, -6],\n [5, 6, 10, -6, -10, -11],\n [-9, 10, 10, 4, -10, -1],\n [-2, -11, -1, -9, -2, 4],\n [-11, -2, 8, 6, 5, -5],\n [-10, -5, -4, 11, -4, 8],\n [3, 7, -10, -3, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "792", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[7, 10, 7, 6, -8, 1],\n [-7, -3, 12, 7, 11, -4],\n [11, -10, 11, -6, -9, -11],\n [-1, -1, 5, 8, 9, 9],\n [-8, -7, 11, 0, -11, -8],\n [-3, 1, -7, -8, -2, -8]]\nB =\n[[-10, -4, -1, 8, -9, 1, 9],\n [1, -5, 2, 1, -12, 11, 0],\n [-5, -6, 6, 7, 0, -9, -11],\n [8, 12, -1, 2, 7, 11, -11],\n [11, -4, 0, -12, 0, 9, -1],\n [-6, -3, 1, 0, -6, -12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, -9, 7, 5, 7, 0],\n [10, -5, -6, -12, -10, 5],\n [-10, -9, -3, 4, 4, -8],\n [-1, -11, 11, 3, 3, 1],\n [9, -4, 2, -10, 11, 5],\n [7, -11, 2, -10, -2, -1]]\nB =\n[[12, 12, -4, -6, -1, 5],\n [5, 11, -11, -2, -8, 3],\n [-6, -9, -5, 4, -9, -4],\n [3, 1, -3, 7, 0, -9],\n [-1, -7, 5, 9, 11, 11],\n [-1, -8, -4, -7, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "460", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, 5, -12, -3, 8, -6],\n [-3, -5, -4, 5, -2, -8],\n [-11, -12, -7, -10, -11, -2],\n [-7, 11, 3, 10, 2, 12],\n [-6, 1, 11, 11, 4, -9],\n [7, 6, -10, 9, -8, -4],\n [-2, 5, 11, -1, -3, -7]]\nB =\n[[-6, -9, 5, 7, 7, -12, 9],\n [-5, 4, 7, 5, 5, 2, -2],\n [-1, -6, -1, 1, 8, -10, 3],\n [11, -7, -8, -8, 10, 0, -7],\n [-3, -6, 7, 10, 4, -6, -9],\n [-2, 0, 10, 8, -8, 1, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 6, 0, 1, 2, 6],\n [-12, -3, 5, -6, -3, -9],\n [9, -11, 12, 12, -9, 7],\n [7, 2, -12, -11, 5, 10],\n [3, 8, -7, 0, 4, -1],\n [8, -4, -4, 7, 12, -5],\n [-12, 1, -6, 12, -6, 6]]\nB =\n[[7, 2, 0, 11, 6, 5],\n [-2, 2, -1, -12, -7, 2],\n [7, -8, 3, -9, 3, -6],\n [-10, -3, -5, 8, -8, 6],\n [0, -9, -7, 7, 12, 0],\n [2, 10, -1, 1, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 5, -9, 10, 10, -2, 6],\n [-1, 6, -4, -11, 7, -5, -9],\n [4, 12, 5, -4, 9, 0, 2],\n [-5, -1, 8, -1, -3, -12, 1],\n [11, 12, -3, -3, -7, -7, 2],\n [3, 0, -11, 6, -1, 12, 8]]\nB =\n[[-1, 10, -9, -11, -9, -12, 12],\n [-8, 9, 8, 5, -3, -8, 3],\n [-9, -3, -4, 5, -7, 12, -12],\n [-2, 11, 7, -10, -9, -4, 10],\n [6, -8, -5, -7, 1, 12, 4],\n [1, 5, 4, 9, 8, -6, 11],\n [6, -1, 12, 11, -9, -12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4680", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 6, 2, 12, 5, -5, 11],\n [9, 9, -12, -4, -7, 5, -8],\n [-8, -2, 6, 4, 9, 1, 10],\n [6, 4, -11, 5, -11, -3, 4],\n [1, -5, -3, 3, -11, -8, -4],\n [-6, -2, -7, -5, -9, 10, -10],\n [-7, -9, -8, -9, -9, 3, 5]]\nB =\n[[-8, -7, 6, 2, 6, 3],\n [3, -12, 9, -7, -5, -10],\n [10, -4, 11, 8, 8, 1],\n [5, 11, -4, 4, 1, -6],\n [-9, -12, -1, -9, 9, 0],\n [-3, 6, -2, -10, 5, -5],\n [3, -6, 11, -1, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[-8, 1, -3, 6, -2, 2, 8],\n [5, 3, -1, 3, -4, -4, -2],\n [0, -4, 3, -4, 3, 5, -2],\n [-4, 6, -4, -9, 1, -4, -2],\n [7, -5, 3, -8, 10, -10, 3],\n [0, 11, -6, -6, 5, 3, -7]]\nB =\n[[2, 8, 8, -1, -11, 12],\n [3, 6, -2, -2, 1, 7],\n [-12, 7, -7, 1, 11, -11],\n [-4, -8, 5, 11, -8, 3],\n [-4, 3, 1, -11, 11, 11],\n [4, 0, -3, 7, -4, 9],\n [8, 0, -7, 8, 2, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the value at position (6, 7) of the product of the following matrices:\nA =\n[[7, -4, -11, 3, 12, -5, -5],\n [5, 3, 12, 6, -11, 6, -11],\n [-1, -12, -8, 4, -2, -2, -7],\n [8, 3, -4, 8, -8, -5, -2],\n [2, 12, -3, 6, 11, 11, -2],\n [5, 7, -7, 0, 11, 3, 8],\n [0, 8, 6, -11, -4, -6, 6]]\nB =\n[[9, -11, 9, 2, -10, -12, -2],\n [-7, 7, -1, -7, -2, 12, 7],\n [0, 3, 2, 11, 0, -9, 11],\n [-4, 9, 4, -4, 5, -4, -9],\n [5, -1, -6, -11, -1, 6, -5],\n [-12, -8, 9, -12, 8, 7, -10],\n [-3, 12, -6, 8, -9, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187", "dataset": "MATH"} | |