messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 15/11 + 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/11 + 15/16. Common denominator = 176. Result = 405/176.\n</reasoning>\nFinal Answer: 405/176"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -699 ÷ -595"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -699 by -595. -699 ÷ -595 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 907 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 907 × (1 + 100/100) = 907 × 2.0 = 1814.0.\n</reasoning>\nFinal Answer: 1814.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 644 × -581"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 644 by -581: 644 × -581 = -374164.\n</reasoning>\nFinal Answer: -374164"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 49 = -141"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 19x = -190. Divide by 19: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 200 km/h. How far does it travel in 4 hours and 22 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 22/60 = 4.3667 hours. Distance = speed × time = 200 × 4.3667 = 873.3333 km.\n</reasoning>\nFinal Answer: 873.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:29 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/29, so B = A × (29/10) = 39 × 29/10 = 113.1.\n</reasoning>\nFinal Answer: 113.1"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 19, 5, 88, 81, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 273/6 = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 77 - 589"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 589 from 77: 77 - 589 = -512.\n</reasoning>\nFinal Answer: -512"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 + 20/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/17 + 20/9. Common denominator = 153. Result = 421/153.\n</reasoning>\nFinal Answer: 421/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -609 + -839"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -609 and -839: -609 + -839 = -1448.\n</reasoning>\nFinal Answer: -1448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-32)x + (60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -32² - 4×4×60 = 64. √discriminant = 8. x = (-(-32) ± 8) / (2×4). Solutions: x = 5 or x = 3.\n</reasoning>\nFinal Answer: x = 5 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -107 × 798"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -107 by 798: -107 × 798 = -85386.\n</reasoning>\nFinal Answer: -85386"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 / 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/1) ÷ (17/3) = (14/1) × (3/17) = 42/17.\n</reasoning>\nFinal Answer: 42/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 959 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 959 × (1 - 40/100) = 959 × 0.6 = 575.4.\n</reasoning>\nFinal Answer: 575.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 72 and width 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 72 × 32 = 2304.\n</reasoning>\nFinal Answer: 2304"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -22 + -104"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -22 and -104: -22 + -104 = -126.\n</reasoning>\nFinal Answer: -126"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 46 = 1222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 28x = 1176. Divide by 28: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:40 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/40, so B = A × (40/7) = 42 × 40/7 = 240.0.\n</reasoning>\nFinal Answer: 240.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 28 = 94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 22x = 66. Divide by 22: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 37 = 3293.\n</reasoning>\nFinal Answer: 3293"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -219 mod -280"
},
{
"role": "assistant",
"content": "<reasoning>\n-219 mod -280: -219 = -280 × 0 + -219, so remainder = -219.\n</reasoning>\nFinal Answer: -219"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 143 km/h. How far does it travel in 8 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 28/60 = 8.4667 hours. Distance = speed × time = 143 × 8.4667 = 1210.7333 km.\n</reasoning>\nFinal Answer: 1210.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 26 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(26+81) = 2×107 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 28 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(28+27) = 2×55 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 970 mod 358"
},
{
"role": "assistant",
"content": "<reasoning>\n970 mod 358: 970 = 358 × 2 + 254, so remainder = 254.\n</reasoning>\nFinal Answer: 254"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 91 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 91 × 29 = 2639.\n</reasoning>\nFinal Answer: 2639"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 19 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 19 = 342 worker-days. New time = 342 / 4 = 85.5 days.\n</reasoning>\nFinal Answer: 85.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 6, 11] and B = [4, 5, 7, 8, 12, 13, 14, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 6, 7, 8, 11, 12, 13, 14, 16].\n</reaso... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 26 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 6x = -84. Divide by 6: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/2 + 7/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/2 + 7/7. Common denominator = 2. Result = 5/2.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 737 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 737 × (1 - 35/100) = 737 × 0.65 = 479.05.\n</reasoning>\nFinal Answer: 479.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 25 = 1081"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 22x = 1056. Divide by 22: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -357 + -703"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -357 and -703: -357 + -703 = -1060.\n</reasoning>\nFinal Answer: -1060"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 33 and 150."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(33,150) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 163 apples and buys 184 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 163 + 184 = 347.\n</reasoning>\nFinal Answer: 347"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 105 ÷ -769"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 105 by -769. 105 ÷ -769 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:41 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/41, so B = A × (41/10) = 59 × 41/10 = 241.9.\n</reasoning>\nFinal Answer: 241.9"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 5, 6, 10, 12, 17, 19] and B = [7, 9, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 5, 6, 7, 9, 10, 12, 15, 17, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 582 + 789"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 582 and 789: 582 + 789 = 1371.\n</reasoning>\nFinal Answer: 1371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 163 km/h. How far does it travel in 3 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 41/60 = 3.6833 hours. Distance = speed × time = 163 × 3.6833 = 600.3833 km.\n</reasoning>\nFinal Answer: 600.3833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4904. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4904 × 18/100 = 882.72. Total = 4904 + 882.72 = 5786.72.\n</reasoning>\nFinal Answer: 5786.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 192 apples and buys 196 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 192 + 196 = 388.\n</reasoning>\nFinal Answer: 388"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 283 + 448"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 283 and 448: 283 + 448 = 731.\n</reasoning>\nFinal Answer: 731"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 18, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (23-1)×18 = 27 + 396 = 423.\n</reasoning>\nFinal Answer: 423"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 18 and 62."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(18,62) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 5 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 5/10 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 710 × -36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 710 by -36: 710 × -36 = -25560.\n</reasoning>\nFinal Answer: -25560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -23 = -1297"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 26x = -1274. Divide by 26: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 348."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 348 by smallest primes repeatedly: 348 = 2 × 2 × 3 × 29.\n</reasoning>\nFinal Answer: 2 × 2 × 3 × 29"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 31 = 325"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 7x = 294. Divide by 7: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 20% of 639?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 639 = (20/100) × 639 = 127.8.\n</reasoning>\nFinal Answer: 127.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 788 ÷ -854"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 788 by -854. 788 ÷ -854 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 46) * (25 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+46)=48, (25-8)=17, then 48×17=816.\n</reasoning>\nFinal Answer: 816"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 328 - 319"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 319 from 328: 328 - 319 = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 786 ÷ 84"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 786 by 84. 786 ÷ 84 = 9 (integer division).\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the square root of 625."
},
{
"role": "assistant",
"content": "<reasoning>\n√625 = 25 because 25² = 625.\n</reasoning>\nFinal Answer: 25"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "Calculate: -969 ÷ -500"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -969 by -500. -969 ÷ -500 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 11 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 25+121-12=134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 65 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 65 × 27 = 877.5.\n</reasoning>\nFinal Answer: 877.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 45 = 933"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 24x = 888. Divide by 24: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:1 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/1, so B = A × (1/24) = 11 × 1/24 = 0.4583.\n</reasoning>\nFinal Answer: 0.4583"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25299 at 20% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25299 × 20 × 10 / 100 = 50598.0.\n</reasoning>\nFinal Answer: 50598.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9186 at 2% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9186 × 2 × 4 / 100 = 734.88.\n</reasoning>\nFinal Answer: 734.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 2 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+2) × 36 = 558.0.\n</reasoning>\nFinal Answer: 558.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/10 * 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/10) × (1/3) = (14/30) = 7/15 after simplification.\n</reasoning>\nFinal Answer: 7/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 154 ÷ 256"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 154 by 256. 154 ÷ 256 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 56, 100, 39, 42, 39, 78, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 25 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹1119. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1119 × 5/100 = 55.95. Total = 1119 + 55.95 = 1174.95.\n</reasoning>\nFinal Answer: 1174.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 * 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/12) × (13/1) = (260/12) = 65/3 after simplification.\n</reasoning>\nFinal Answer: 65/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:14 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/14, so B = A × (14/47) = 66 × 14/47 = 19.6596.\n</reasoning>\nFinal Answer: 19.6596"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 274 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 274 × (1 - 90/100) = 274 × 0.09999999999999998 = 27.4.\n</reasoning>\nFinal Answer: 27.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 20 = -148"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 14x = -168. Divide by 14: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 36 = -426"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 22x = -462. Divide by 22: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 36 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(36+91) = 2×127 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹5227 at 16% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 5227 × 16 × 8 / 100 = 6690.56.\n</reasoning>\nFinal Answer: 6690.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:38 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/38, so B = A × (38/16) = 76 × 38/16 = 180.5.\n</reasoning>\nFinal Answer: 180.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -17 = -112"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 19x = -95. Divide by 19: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 8 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+8) × 2 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:21 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/21, so B = A × (21/13) = 47 × 21/13 = 75.9231.\n</reasoning>\nFinal Answer: 75.9231"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "318 is what percentage of 755?"
},
{
"role": "assistant",
"content": "<reasoning>\n(318/755) × 100 = 42.1192%.\n</reasoning>\nFinal Answer: 42.1192%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -31 = 406"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 23x = 437. Divide by 23: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -128 ÷ -25"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -128 by -25. -128 ÷ -25 = 5 (integer division).\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [53, 33, 24, 84, 75, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 33, 43, 53, 75, 84]. Middle value(s) → median = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "334 is what percentage of 405?"
},
{
"role": "assistant",
"content": "<reasoning>\n(334/405) × 100 = 82.4691%.\n</reasoning>\nFinal Answer: 82.4691%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 131 and 90."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(131,90) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 38 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 38 × (1 - 75/100) = 38 × 0.25 = 9.5.\n</reasoning>\nFinal Answer: 9.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 683 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 683 × (1 - 65/100) = 683 × 0.35 = 239.05.\n</reasoning>\nFinal Answer: 239.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 780 ÷ -600"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 780 by -600. 780 ÷ -600 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -15 ÷ -887"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -15 by -887. -15 ÷ -887 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 35) * (15 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+35)=42, (15-25)=-10, then 42×-10=-420.\n</reasoning>\nFinal Answer: -420"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 509 ÷ 38"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 509 by 38. 509 ÷ 38 = 13 (integer division).\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 64 and width 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 64 × 13 = 832.\n</reasoning>\nFinal Answer: 832"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 6, 45, 19, 35, 30, 14, 35, 50, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 334/10 = 33.4.\n</reasoning>\nFinal Answer: 33.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 35 * 3 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×3=105, then 20+105-34=91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 26 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+26) × 46 = 690.0.\n</reasoning>\nFinal Answer: 690.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 29 = -107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 8x = -136. Divide by 8: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 48) * (4 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+48)=93, (4-23)=-19, then 93×-19=-1767.\n</reasoning>\nFinal Answer: -1767"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 10, 11, 12, 17] and B = [4, 5, 8, 11, 14, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 8, 10, 11, 12, 14, 16, 17].\n</reasoning>\nFinal Answer: [3, 4, 5, 8, 10, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 14 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 39+196-31=204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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