messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 340 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 340 × (1 + 90/100) = 340 × 1.9 = 646.0.\n</reasoning>\nFinal Answer: 646.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "6 is what percentage of 36?"
},
{
"role": "assistant",
"content": "<reasoning>\n(6/36) × 100 = 16.6667%.\n</reasoning>\nFinal Answer: 16.6667%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -33 = 966"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 27x = 999. Divide by 27: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 21, 61, 8, 64, 70, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 21, 61, 64, 70, 76, 79]. Middle value(s) → median = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 414 km apart. Their speeds are 100 km/h and 77 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 100+77=177 km/h. Time = 414/177 = 2.339 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2909. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2909 × 12/100 = 349.08. Total = 2909 + 349.08 = 3258.08.\n</reasoning>\nFinal Answer: 3258.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 19 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 19 × 5 = 47.5.\n</reasoning>\nFinal Answer: 47.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 4/10 + 19/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/10 + 19/1. Common denominator = 5. Result = 97/5.\n</reasoning>\nFinal Answer: 97/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [99, 67, 9, 35, 9, 78, 1, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 359/8 = 44.875.\n</reasoning>\nFinal Answer: 44.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -130 mod 605"
},
{
"role": "assistant",
"content": "<reasoning>\n-130 mod 605: -130 = 605 × -1 + 475, so remainder = 475.\n</reasoning>\nFinal Answer: 475"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:41 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/41, so B = A × (41/26) = 4 × 41/26 = 6.3077.\n</reasoning>\nFinal Answer: 6.3077"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "176 is what percentage of 198?"
},
{
"role": "assistant",
"content": "<reasoning>\n(176/198) × 100 = 88.8889%.\n</reasoning>\nFinal Answer: 88.8889%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46080 at 11% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46080 × 11 × 9 / 100 = 45619.2.\n</reasoning>\nFinal Answer: 45619.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 199."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 199 by smallest primes repeatedly: 199 = 199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -343 + -780"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -343 and -780: -343 + -780 = -1123.\n</reasoning>\nFinal Answer: -1123"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 3% of 810?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 810 = (3/100) × 810 = 24.3.\n</reasoning>\nFinal Answer: 24.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 24 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 24 × 40 = 960.\n</reasoning>\nFinal Answer: 960"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -25 = 3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 4x = 28. Divide by 4: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -29 = -554"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 25x = -525. Divide by 25: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 69 and width 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 69 × 94 = 6486.\n</reasoning>\nFinal Answer: 6486"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 52 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 52 × 26 = 1352.\n</reasoning>\nFinal Answer: 1352"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 26 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 26 × 65 = 1690.\n</reasoning>\nFinal Answer: 1690"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 858 × -968"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 858 by -968: 858 × -968 = -830544.\n</reasoning>\nFinal Answer: -830544"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 395 - -132"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -132 from 395: 395 - -132 = 527.\n</reasoning>\nFinal Answer: 527"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -368 + 702"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -368 and 702: -368 + 702 = 334.\n</reasoning>\nFinal Answer: 334"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 47 km/h. How far does it travel in 7 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 28/60 = 7.4667 hours. Distance = speed × time = 47 × 7.4667 = 350.9333 km.\n</reasoning>\nFinal Answer: 350.9333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 326 mod 362"
},
{
"role": "assistant",
"content": "<reasoning>\n326 mod 362: 326 = 362 × 0 + 326, so remainder = 326.\n</reasoning>\nFinal Answer: 326"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 16 mod -462"
},
{
"role": "assistant",
"content": "<reasoning>\n16 mod -462: 16 = -462 × -1 + -446, so remainder = -446.\n</reasoning>\nFinal Answer: -446"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 26) * (36 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+26)=47, (36-3)=33, then 47×33=1551.\n</reasoning>\nFinal Answer: 1551"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 12 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 12 × 5 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹2199. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2199 × 5/100 = 109.95. Total = 2199 + 109.95 = 2308.95.\n</reasoning>\nFinal Answer: 2308.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -13 = -538"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 15x = -525. Divide by 15: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 * 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/14) × (8/12) = (80/168) = 10/21 after simplification.\n</reasoning>\nFinal Answer: 10/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [31, 55, 75, 27, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {31: 1, 55: 1, 75: 1, 27: 1, 52: 1}. Most frequent: [31, 55, 75, 27, 52].\n</reasoning>\nFinal Answer: [31, 55, 75, 27, 52]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹821. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 821 × 12/100 = 98.52. Total = 821 + 98.52 = 919.52.\n</reasoning>\nFinal Answer: 919.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 334 × -172"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 334 by -172: 334 × -172 = -57448.\n</reasoning>\nFinal Answer: -57448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -707 × 793"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -707 by 793: -707 × 793 = -560651.\n</reasoning>\nFinal Answer: -560651"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/2 * 18/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/2) × (18/18) = (360/36) = 10 after simplification.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 257 mod -482"
},
{
"role": "assistant",
"content": "<reasoning>\n257 mod -482: 257 = -482 × -1 + -225, so remainder = -225.\n</reasoning>\nFinal Answer: -225"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 864 × 843"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 864 by 843: 864 × 843 = 728352.\n</reasoning>\nFinal Answer: 728352"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -197 + 313"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -197 and 313: -197 + 313 = 116.\n</reasoning>\nFinal Answer: 116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 650 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 650 × (1 - 100/100) = 650 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 10, 12, 14, 15, 16, 17] and B = [1, 2, 6, 7, 9, 10, 12, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [6, 7, 9, 14, 15, 17].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 8, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (50-1)×8 = 18 + 392 = 410.\n</reasoning>\nFinal Answer: 410"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [7, 26, 45, 64, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 7 and common difference 19. Next term = 83 + 19 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 5, 6, 9, 12, 13, 16] and B = [2, 9, 10, 12, 13, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 12, 13, 16].\n</reasoning>\nFinal Answer: [9, 12, 13, 16... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [10, 62, 61, 73, 65, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {10: 1, 62: 1, 61: 1, 73: 1, 65: 1, 88: 1}. Most frequent: [10, 62, 61, 73, 65, 88].\n</reasoning>\nFinal Answer: [10, 62, 61, 73, 65, 88]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 198 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 198 × (1 - 15/100) = 198 × 0.85 = 168.3.\n</reasoning>\nFinal Answer: 168.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -294 + -912"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -294 and -912: -294 + -912 = -1206.\n</reasoning>\nFinal Answer: -1206"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 651 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 651 × (1 - 5/100) = 651 × 0.95 = 618.45.\n</reasoning>\nFinal Answer: 618.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 50, 46 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (50+46) × 26 = 1248.0.\n</reasoning>\nFinal Answer: 1248.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate: 8^6"
},
{
"role": "assistant",
"content": "<reasoning>\n8^6 = 8 × 8 × 8 × 8 × 8 × 8 = 262144.\n</reasoning>\nFinal Answer: 262144"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Calculate: 848 × -664"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 848 by -664: 848 × -664 = -563072.\n</reasoning>\nFinal Answer: -563072"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 200 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 200 × (1 - 30/100) = 200 × 0.7 = 140.0.\n</reasoning>\nFinal Answer: 140.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/7 + 10/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/7 + 10/14. Common denominator = 7. Result = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "264 is what percentage of 275?"
},
{
"role": "assistant",
"content": "<reasoning>\n(264/275) × 100 = 96.0%.\n</reasoning>\nFinal Answer: 96.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 416 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 416 × (1 - 10/100) = 416 × 0.9 = 374.4.\n</reasoning>\nFinal Answer: 374.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 187 apples and buys 163 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 187 + 163 = 350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 41 = 503"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 22x = 462. Divide by 22: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [43, 51, 24, 28, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 222/5 = 44.4.\n</reasoning>\nFinal Answer: 44.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -517 + 884"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -517 and 884: -517 + 884 = 367.\n</reasoning>\nFinal Answer: 367"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 79 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 79 × 83 = 3278.5.\n</reasoning>\nFinal Answer: 3278.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [99, 44, 32, 96, 49, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 32 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 809 ÷ 593"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 809 by 593. 809 ÷ 593 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:17 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/17, so B = A × (17/47) = 82 × 17/47 = 29.6596.\n</reasoning>\nFinal Answer: 29.6596"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 35% of 812?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 812 = (35/100) × 812 = 284.2.\n</reasoning>\nFinal Answer: 284.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 191 apples and buys 55 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 191 + 55 = 246.\n</reasoning>\nFinal Answer: 246"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 591 mod 858"
},
{
"role": "assistant",
"content": "<reasoning>\n591 mod 858: 591 = 858 × 0 + 591, so remainder = 591.\n</reasoning>\nFinal Answer: 591"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -47 = 613"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 15x = 660. Divide by 15: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 * 13/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/13) × (13/5) = (39/65) = 3/5 after simplification.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 340 × 505"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 340 by 505: 340 × 505 = 171700.\n</reasoning>\nFinal Answer: 171700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹712. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 712 × 18/100 = 128.16. Total = 712 + 128.16 = 840.16.\n</reasoning>\nFinal Answer: 840.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -40 = 41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 27x = 81. Divide by 27: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1853. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1853 × 12/100 = 222.36. Total = 1853 + 222.36 = 2075.36.\n</reasoning>\nFinal Answer: 2075.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/3 - 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/3 - 8/12. LCD = 3. Result = 17/3.\n</reasoning>\nFinal Answer: 17/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 / 2/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/7) ÷ (2/20) = (16/7) × (20/2) = 160/7.\n</reasoning>\nFinal Answer: 160/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 - 5/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/18 - 5/2. LCD = 18. Result = -43/18.\n</reasoning>\nFinal Answer: -43/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 50, 64, 24, 93, 16, 4, 52, 88, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 4 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:50 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/50, so B = A × (50/23) = 16 × 50/23 = 34.7826.\n</reasoning>\nFinal Answer: 34.7826"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 44 + 14 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×44=1584 and 14×13=182, then add: 1766.\n</reasoning>\nFinal Answer: 1766"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -561 mod 227"
},
{
"role": "assistant",
"content": "<reasoning>\n-561 mod 227: -561 = 227 × -3 + 120, so remainder = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 45 * 17 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×17=765, then 42+765-49=758.\n</reasoning>\nFinal Answer: 758"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -980 - 354"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 354 from -980: -980 - 354 = -1334.\n</reasoning>\nFinal Answer: -1334"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 1 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 1 × 48 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 12/16 - 6/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/16 - 6/17. LCD = 68. Result = 27/68.\n</reasoning>\nFinal Answer: 27/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -657 + -514"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -657 and -514: -657 + -514 = -1171.\n</reasoning>\nFinal Answer: -1171"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 189 and 68."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(189,68) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 637 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 637 × (1 - 20/100) = 637 × 0.8 = 509.6.\n</reasoning>\nFinal Answer: 509.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 50 + 39 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×50=1650 and 39×41=1599, then add: 3249.\n</reasoning>\nFinal Answer: 3249"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 92 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 92 × 32 = 2944.\n</reasoning>\nFinal Answer: 2944"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 29 * 5 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×5=145, then 9+145-15=139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12575 at 10% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12575 × 10 × 6 / 100 = 7545.0.\n</reasoning>\nFinal Answer: 7545.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 762 km apart. Their speeds are 101 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+57=158 km/h. Time = 762/158 = 4.8228 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 8, 13, 14, 16, 17] and B = [1, 8, 14, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 13, 17].\n</reasoning>\nFinal Answer: [2, 3, 13, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [82, 69, 79, 61, 18, 27, 85, 23, 10, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 479/10 = 47.9.\n</reasoning>\nFinal Answer: 47.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -298 - 542"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 542 from -298: -298 - 542 = -840.\n</reasoning>\nFinal Answer: -840"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 91 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 91 × 45 = 4095.\n</reasoning>\nFinal Answer: 4095"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 26 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 41+676-14=703.\n</reasoning>\nFinal Answer: 703"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/16 * 2/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/16) × (2/9) = (8/144) = 1/18 after simplification.\n</reasoning>\nFinal Answer: 1/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [80, 61, 55, 49, 87, 31, 55, 40, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {80: 1, 61: 1, 55: 2, 49: 1, 87: 1, 31: 1, 40: 1, 62: 1}. Most frequent: 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"mode"
] |
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