messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 12, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (30-1)×12 = 14 + 348 = 362.\n</reasoning>\nFinal Answer: 362"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -859 × -455"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -859 by -455: -859 × -455 = 390845.\n</reasoning>\nFinal Answer: 390845"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:34 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/34, so B = A × (34/43) = 74 × 34/43 = 58.5116.\n</reasoning>\nFinal Answer: 58.5116"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41308 at 7% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41308 × 7 × 2 / 100 = 5783.12.\n</reasoning>\nFinal Answer: 5783.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "296 is what percentage of 554?"
},
{
"role": "assistant",
"content": "<reasoning>\n(296/554) × 100 = 53.4296%.\n</reasoning>\nFinal Answer: 53.4296%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 34 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 19+1156-6=1169.\n</reasoning>\nFinal Answer: 1169"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 48 = 426"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 14x = 378. Divide by 14: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 34 + 41 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×34=1224 and 41×40=1640, then add: 2864.\n</reasoning>\nFinal Answer: 2864"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-32)x + (128) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -32² - 4×2×128 = 0. √discriminant = 0. x = (-(-32) ± 0) / (2×2). Solutions: x = 8 (double root).\n</reasoning>\nFinal Answer: x = 8 (double ro... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -207 ÷ -1000"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -207 by -1000. -207 ÷ -1000 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 35 + 20 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×35=1540 and 20×19=380, then add: 1920.\n</reasoning>\nFinal Answer: 1920"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 9, 13, 14, 19] and B = [4, 11, 12, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 8, 9, 13, 14].\n</reasoning>\nFinal Answer: [5, 8, 9, 13, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 739 ÷ -115"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 739 by -115. 739 ÷ -115 = -7 (integer division).\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:21 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/21, so B = A × (21/20) = 10 × 21/20 = 10.5.\n</reasoning>\nFinal Answer: 10.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -19 = 10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 1x = 29. Divide by 1: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -17 = -92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 25x = -75. Divide by 25: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "655 is what percentage of 724?"
},
{
"role": "assistant",
"content": "<reasoning>\n(655/724) × 100 = 90.4696%.\n</reasoning>\nFinal Answer: 90.4696%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 11, 87, 16, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 11 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -285 + 656"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -285 and 656: -285 + 656 = 371.\n</reasoning>\nFinal Answer: 371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/19 / 2/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/19) ÷ (2/13) = (20/19) × (13/2) = 130/19.\n</reasoning>\nFinal Answer: 130/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:32 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/32, so B = A × (32/18) = 39 × 32/18 = 69.3333.\n</reasoning>\nFinal Answer: 69.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 48."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 48 by smallest primes repeatedly: 48 = 2 × 2 × 2 × 2 × 3.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 3"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:31 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/31, so B = A × (31/17) = 49 × 31/17 = 89.3529.\n</reasoning>\nFinal Answer: 89.3529"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 100 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 100 × 25 = 2500.\n</reasoning>\nFinal Answer: 2500"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 556 mod -772"
},
{
"role": "assistant",
"content": "<reasoning>\n556 mod -772: 556 = -772 × -1 + -216, so remainder = -216.\n</reasoning>\nFinal Answer: -216"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 17) * (20 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+17)=63, (20-45)=-25, then 63×-25=-1575.\n</reasoning>\nFinal Answer: -1575"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 92 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 92 × 8 = 368.0.\n</reasoning>\nFinal Answer: 368.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -24 = -2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 11x = 22. Divide by 11: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 613 ÷ 874"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 613 by 874. 613 ÷ 874 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 / 19/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/14) ÷ (19/13) = (10/14) × (13/19) = 65/133.\n</reasoning>\nFinal Answer: 65/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 - 20/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/11 - 20/16. LCD = 44. Result = 21/44.\n</reasoning>\nFinal Answer: 21/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹614. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 614 × 28/100 = 171.92. Total = 614 + 171.92 = 785.92.\n</reasoning>\nFinal Answer: 785.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 40% of 678?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 678 = (40/100) × 678 = 271.2.\n</reasoning>\nFinal Answer: 271.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 998 mod 243"
},
{
"role": "assistant",
"content": "<reasoning>\n998 mod 243: 998 = 243 × 4 + 26, so remainder = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 739 × -391"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 739 by -391: 739 × -391 = -288949.\n</reasoning>\nFinal Answer: -288949"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -44 = 46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 15x = 90. Divide by 15: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 8, 11, 12, 16, 17] and B = [3, 9, 10, 13, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17].\n</r... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [46, 72, 70, 35, 31, 11, 91, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 375/8 = 46.875.\n</reasoning>\nFinal Answer: 46.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Decrease 238 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 238 × (1 - 45/100) = 238 × 0.55 = 130.9.\n</reasoning>\nFinal Answer: 130.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "16 is what percentage of 221?"
},
{
"role": "assistant",
"content": "<reasoning>\n(16/221) × 100 = 7.2398%.\n</reasoning>\nFinal Answer: 7.2398%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 662 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 662 × (1 - 100/100) = 662 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [14, 17, 18] and B = [1, 3, 9, 10, 12, 14, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [14].\n</reasoning>\nFinal Answer: [14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13824 at 12% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13824 × 12 × 4 / 100 = 6635.52.\n</reasoning>\nFinal Answer: 6635.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 81 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 81 × 54 = 4374.\n</reasoning>\nFinal Answer: 4374"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -437 × -616"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -437 by -616: -437 × -616 = 269192.\n</reasoning>\nFinal Answer: 269192"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -29 = -477"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 28x = -448. Divide by 28: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:4 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/4, so B = A × (4/2) = 38 × 4/2 = 76.0.\n</reasoning>\nFinal Answer: 76.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 2 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 26, 19, 100, 26, 56, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 19 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -26 = -900"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 19x = -874. Divide by 19: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 12 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 16+144-25=135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/20 * 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/20) × (18/7) = (216/140) = 54/35 after simplification.\n</reasoning>\nFinal Answer: 54/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -2 = -202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 20x = -200. Divide by 20: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 720 ÷ -676"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 720 by -676. 720 ÷ -676 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -606 + 810"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -606 and 810: -606 + 810 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 7, 11, 13, 15, 17] and B = [1, 3, 4, 6, 10, 14, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 4, 5, 6, 7, 10, 11, 13, 14, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [81, 89, 53, 88, 72, 92, 4, 6, 55, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {81: 1, 89: 1, 53: 1, 88: 1, 72: 1, 92: 1, 4: 1, 6: 1, 55: 1, 39: 1}. Most frequent: [81, 89, 53, 88, 72, 92, 4, 6, 55, 39].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 57 and 138."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(57,138) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 33 + 19 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×33=990 and 19×12=228, then add: 1218.\n</reasoning>\nFinal Answer: 1218"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (0)x + (-4) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×1×-4 = 16. √discriminant = 4. x = (-(0) ± 4) / (2×1). Solutions: x = -2 or x = 2.\n</reasoning>\nFinal Answer: x = -2 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Increase 786 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 786 × (1 + 100/100) = 786 × 2.0 = 1572.0.\n</reasoning>\nFinal Answer: 1572.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 29 = 1317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 28x = 1288. Divide by 28: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 6 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 6 × 100 = 600.\n</reasoning>\nFinal Answer: 600"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4345 at 14% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4345 × 14 × 3 / 100 = 1824.9.\n</reasoning>\nFinal Answer: 1824.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 196 and 67."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(196,67) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 7% of 578?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 578 = (7/100) × 578 = 40.46.\n</reasoning>\nFinal Answer: 40.46"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 62 and width 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 62 × 89 = 5518.\n</reasoning>\nFinal Answer: 5518"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 23 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 23 = 345 worker-days. New time = 345 / 5 = 69.0 days.\n</reasoning>\nFinal Answer: 69.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -22 = -26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 1x = -4. Divide by 1: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -44 = 75"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 7x = 119. Divide by 7: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -3 = -113"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 5x = -110. Divide by 5: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 23 = -529"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 24x = -552. Divide by 24: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:14 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/14, so B = A × (14/1) = 31 × 14/1 = 434.0.\n</reasoning>\nFinal Answer: 434.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:32 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/32, so B = A × (32/3) = 37 × 32/3 = 394.6667.\n</reasoning>\nFinal Answer: 394.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 38 * 18 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×18=684, then 22+684-22=684.\n</reasoning>\nFinal Answer: 684"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 47 = 826"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 19x = 779. Divide by 19: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 47) * (18 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+47)=64, (18-24)=-6, then 64×-6=-384.\n</reasoning>\nFinal Answer: -384"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 92, 94, 31, 56, 90, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 525/7 = 75.0.\n</reasoning>\nFinal Answer: 75.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 25 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 25 = 50 worker-days. New time = 50 / 3 = 16.6667 days.\n</reasoning>\nFinal Answer: 16.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [9, 15, 71, 62, 33, 40, 99, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 15, 33, 40, 62, 71, 99, 99]. Middle value(s) → median = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13873 at 8% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13873 × 8 × 6 / 100 = 6659.04.\n</reasoning>\nFinal Answer: 6659.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 2 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 2 × (1 + 3/100) = 2 × 1.03 = 2.06.\n</reasoning>\nFinal Answer: 2.06"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 + 18/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/18 + 18/18. Common denominator = 18. Result = 31/18.\n</reasoning>\nFinal Answer: 31/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 865 mod -813"
},
{
"role": "assistant",
"content": "<reasoning>\n865 mod -813: 865 = -813 × -2 + -761, so remainder = -761.\n</reasoning>\nFinal Answer: -761"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7498 at 2% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7498 × 2 × 3 / 100 = 449.88.\n</reasoning>\nFinal Answer: 449.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3888. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3888 × 5/100 = 194.4. Total = 3888 + 194.4 = 4082.4.\n</reasoning>\nFinal Answer: 4082.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:43 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/43, so B = A × (43/7) = 74 × 43/7 = 454.5714.\n</reasoning>\nFinal Answer: 454.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:21 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/21, so B = A × (21/15) = 68 × 21/15 = 95.2.\n</reasoning>\nFinal Answer: 95.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 188 km/h. How far does it travel in 6 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 39/60 = 6.6500 hours. Distance = speed × time = 188 × 6.6500 = 1250.2 km.\n</reasoning>\nFinal Answer: 1250.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 / 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/4) ÷ (13/14) = (3/4) × (14/13) = 21/26.\n</reasoning>\nFinal Answer: 21/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:32 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/32, so B = A × (32/2) = 94 × 32/2 = 1504.0.\n</reasoning>\nFinal Answer: 1504.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:16 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/16, so B = A × (16/1) = 24 × 16/1 = 384.0.\n</reasoning>\nFinal Answer: 384.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -25 = 127"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 4x = 152. Divide by 4: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -166 ÷ 876"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -166 by 876. -166 ÷ 876 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 525 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 525 × (1 + 12/100) = 525 × 1.12 = 588.0.\n</reasoning>\nFinal Answer: 588.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18525 at 7% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18525 × 7 × 1 / 100 = 1296.75.\n</reasoning>\nFinal Answer: 1296.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 18 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 19+324-43=300.\n</reasoning>\nFinal Answer: 300"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [8, 6, 81, 2, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {8: 1, 6: 1, 81: 1, 2: 1, 20: 1}. Most frequent: [8, 6, 81, 2, 20].\n</reasoning>\nFinal Answer: [8, 6, 81, 2, 20]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 12/14 / 11/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/14) ÷ (11/9) = (12/14) × (9/11) = 54/77.\n</reasoning>\nFinal Answer: 54/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 48 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 48 × 43 = 2064.\n</reasoning>\nFinal Answer: 2064"
}
] | easy | [
"geometry",
"area"
] |
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