messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×3)/3 = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×23)/1 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:50 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/50, so B = A × (50/15) = 61 × 50/15 = 203.3333.\n</reasoning>\nFinal Answer: 203.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 9 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 9 = 99 worker-days. New time = 99 / 15 = 6.6 days.\n</reasoning>\nFinal Answer: 6.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 100 and 184."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(100,184) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 481 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 481 × (1 + 30/100) = 481 × 1.3 = 625.3.\n</reasoning>\nFinal Answer: 625.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 41) * (18 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+41)=70, (18-22)=-4, then 70×-4=-280.\n</reasoning>\nFinal Answer: -280"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -10 - -139"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -139 from -10: -10 - -139 = 129.\n</reasoning>\nFinal Answer: 129"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 172 mod -812"
},
{
"role": "assistant",
"content": "<reasoning>\n172 mod -812: 172 = -812 × -1 + -640, so remainder = -640.\n</reasoning>\nFinal Answer: -640"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 91 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 91 × 3 = 273.\n</reasoning>\nFinal Answer: 273"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 27 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 43+729-36=736.\n</reasoning>\nFinal Answer: 736"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [69, 85, 4, 58, 41, 88, 25, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 4, 25, 41, 58, 69, 85, 88]. Middle value(s) → median = 49.5.\n</reasoning>\nFinal Answer: 49.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 45 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(45,30) = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 444 km apart. Their speeds are 116 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 116+63=179 km/h. Time = 444/179 = 2.4804 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [71, 13, 38, 7, 97, 23, 24, 84, 87, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 536/10 = 53.6.\n</reasoning>\nFinal Answer: 53.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -22 = -100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 6x = -78. Divide by 6: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [31, 47, 73, 97, 54, 96, 70, 74, 79, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 31 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹4260. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4260 × 5/100 = 213.0. Total = 4260 + 213.0 = 4473.0.\n</reasoning>\nFinal Answer: 4473.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-56)x + (180) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -56² - 4×4×180 = 256. √discriminant = 16. x = (-(-56) ± 16) / (2×4). Solutions: x = 9 or x = 5.\n</reasoning>\nFinal Answer: x = 9 or x = 5"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 175 and 93."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(175,93) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 645 mod 324"
},
{
"role": "assistant",
"content": "<reasoning>\n645 mod 324: 645 = 324 × 1 + 321, so remainder = 321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 589 × 625"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 589 by 625: 589 × 625 = 368125.\n</reasoning>\nFinal Answer: 368125"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 18 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+18) × 45 = 900.0.\n</reasoning>\nFinal Answer: 900.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/7 + 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/7 + 12/18. Common denominator = 21. Result = 59/21.\n</reasoning>\nFinal Answer: 59/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 785 - -381"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -381 from 785: 785 - -381 = 1166.\n</reasoning>\nFinal Answer: 1166"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -29 = 1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 10x = 30. Divide by 10: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -13 = 595"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 16x = 608. Divide by 16: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -875 ÷ -269"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -875 by -269. -875 ÷ -269 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×42)/2 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 13/9 * 7/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/9) × (7/3) = (91/27) = 91/27 after simplification.\n</reasoning>\nFinal Answer: 91/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 29 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 29 × 30 = 870.\n</reasoning>\nFinal Answer: 870"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 5% of 935?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 935 = (5/100) × 935 = 46.75.\n</reasoning>\nFinal Answer: 46.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 335 mod -409"
},
{
"role": "assistant",
"content": "<reasoning>\n335 mod -409: 335 = -409 × -1 + -74, so remainder = -74.\n</reasoning>\nFinal Answer: -74"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 44 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 44 × 8 = 176.0.\n</reasoning>\nFinal Answer: 176.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 93, 50, 64, 51, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 353/6 = 58.8333.\n</reasoning>\nFinal Answer: 58.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 7, 69, 65, 56, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 23, 56, 65, 69, 78]. Middle value(s) → median = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 122."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 122 by smallest primes repeatedly: 122 = 2 × 61.\n</reasoning>\nFinal Answer: 2 × 61"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 22 - 858"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 858 from 22: 22 - 858 = -836.\n</reasoning>\nFinal Answer: -836"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 10 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 10 = 200 worker-days. New time = 200 / 11 = 18.1818 days.\n</reasoning>\nFinal Answer: 18.1818"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 30, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 30 + 35 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38996 at 11% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38996 × 11 × 2 / 100 = 8579.12.\n</reasoning>\nFinal Answer: 8579.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [90, 37, 57, 72, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {90: 1, 37: 1, 57: 1, 72: 1, 5: 1}. Most frequent: [90, 37, 57, 72, 5].\n</reasoning>\nFinal Answer: [90, 37, 57, 72, 5]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹3938. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3938 × 28/100 = 1102.64. Total = 3938 + 1102.64 = 5040.64.\n</reasoning>\nFinal Answer: 5040.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 851 + 945"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 851 and 945: 851 + 945 = 1796.\n</reasoning>\nFinal Answer: 1796"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -970 mod 597"
},
{
"role": "assistant",
"content": "<reasoning>\n-970 mod 597: -970 = 597 × -2 + 224, so remainder = 224.\n</reasoning>\nFinal Answer: 224"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:4 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/4, so B = A × (4/41) = 88 × 4/41 = 8.5854.\n</reasoning>\nFinal Answer: 8.5854"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [35, 45, 55, 65, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 35 and common difference 10. Next term = 75 + 10 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 11 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 11 × 58 = 638.\n</reasoning>\nFinal Answer: 638"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:34 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/34, so B = A × (34/18) = 8 × 34/18 = 15.1111.\n</reasoning>\nFinal Answer: 15.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 35. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 35 ≈ 219.9115.\n</reasoning>\nFinal Answer: 219.9115"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 100 = 7000.\n</reasoning>\nFinal Answer: 7000"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:2 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/2, so B = A × (2/36) = 5 × 2/36 = 0.2778.\n</reasoning>\nFinal Answer: 0.2778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [12, 76, 25, 60, 67, 66, 6, 14, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 6 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -191 × 670"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -191 by 670: -191 × 670 = -127970.\n</reasoning>\nFinal Answer: -127970"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "531 is what percentage of 717?"
},
{
"role": "assistant",
"content": "<reasoning>\n(531/717) × 100 = 74.0586%.\n</reasoning>\nFinal Answer: 74.0586%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 207 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 207 × (1 - 80/100) = 207 × 0.19999999999999996 = 41.4.\n</reasoning>\nFinal Answer: 41.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 4, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (38-1)×4 = 33 + 148 = 181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 27 = 235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 13x = 208. Divide by 13: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 947 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 947 × (1 + 5/100) = 947 × 1.05 = 994.35.\n</reasoning>\nFinal Answer: 994.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/7 + 18/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/7 + 18/16. Common denominator = 56. Result = 95/56.\n</reasoning>\nFinal Answer: 95/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 70 km/h. How far does it travel in 1 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 19/60 = 1.3167 hours. Distance = speed × time = 70 × 1.3167 = 92.1667 km.\n</reasoning>\nFinal Answer: 92.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -14 = -126"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 8x = -112. Divide by 8: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [86, 82, 15, 22, 37, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 15 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [41, 52, 88, 12, 69, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 12 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 15 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+15) × 42 = 1029.0.\n</reasoning>\nFinal Answer: 1029.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/12 / 9/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/12) ÷ (9/3) = (16/12) × (3/9) = 4/9.\n</reasoning>\nFinal Answer: 4/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:30 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/30, so B = A × (30/19) = 39 × 30/19 = 61.5789.\n</reasoning>\nFinal Answer: 61.5789"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 25 = 1450.\n</reasoning>\nFinal Answer: 1450"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "117 is what percentage of 302?"
},
{
"role": "assistant",
"content": "<reasoning>\n(117/302) × 100 = 38.7417%.\n</reasoning>\nFinal Answer: 38.7417%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 10 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 10 × 30 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -918 mod 869"
},
{
"role": "assistant",
"content": "<reasoning>\n-918 mod 869: -918 = 869 × -2 + 820, so remainder = 820.\n</reasoning>\nFinal Answer: 820"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 44 = 264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 20x = 220. Divide by 20: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 83 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 83 × 44 = 1826.0.\n</reasoning>\nFinal Answer: 1826.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -42 = -192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 10x = -150. Divide by 10: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -364 × 645"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -364 by 645: -364 × 645 = -234780.\n</reasoning>\nFinal Answer: -234780"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 * 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/17) × (20/15) = (20/255) = 4/51 after simplification.\n</reasoning>\nFinal Answer: 4/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:16 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/16, so B = A × (16/39) = 51 × 16/39 = 20.9231.\n</reasoning>\nFinal Answer: 20.9231"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×45)/1 = 315.\n</reasoning>\nFinal Answer: 315"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 31 + 22 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×31=1147 and 22×12=264, then add: 1411.\n</reasoning>\nFinal Answer: 1411"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 194 apples and buys 47 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 194 + 47 = 241.\n</reasoning>\nFinal Answer: 241"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -615 ÷ 698"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -615 by 698. -615 ÷ 698 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 3% of 430?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 430 = (3/100) × 430 = 12.9.\n</reasoning>\nFinal Answer: 12.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 447 ÷ 747"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 447 by 747. 447 ÷ 747 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -92 × 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -92 by 17: -92 × 17 = -1564.\n</reasoning>\nFinal Answer: -1564"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 822 ÷ 544"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 822 by 544. 822 ÷ 544 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 393 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 393 × (1 + 35/100) = 393 × 1.35 = 530.55.\n</reasoning>\nFinal Answer: 530.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 4) * (50 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+4)=42, (50-45)=5, then 42×5=210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -944 mod 490"
},
{
"role": "assistant",
"content": "<reasoning>\n-944 mod 490: -944 = 490 × -2 + 36, so remainder = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 159 km/h. How far does it travel in 1 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 26/60 = 1.4333 hours. Distance = speed × time = 159 × 1.4333 = 227.9 km.\n</reasoning>\nFinal Answer: 227.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 7 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 7 = 140 worker-days. New time = 140 / 11 = 12.7273 days.\n</reasoning>\nFinal Answer: 12.7273"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×13)/1 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 68 apples and buys 121 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 68 + 121 = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 104 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 104 × (1 - 40/100) = 104 × 0.6 = 62.4.\n</reasoning>\nFinal Answer: 62.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 1, 5, 47, 65, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 5, 23, 47, 55, 65]. Middle value(s) → median = 35.0.\n</reasoning>\nFinal Answer: 35.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 2 * 5 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×5=10, then 36+10-19=27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1448. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1448 × 5/100 = 72.4. Total = 1448 + 72.4 = 1520.4.\n</reasoning>\nFinal Answer: 1520.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:50 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/50, so B = A × (50/3) = 31 × 50/3 = 516.6667.\n</reasoning>\nFinal Answer: 516.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 47 apples and buys 81 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 47 + 81 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 13 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+13) × 22 = 308.0.\n</reasoning>\nFinal Answer: 308.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 289 km apart. Their speeds are 95 km/h and 81 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 95+81=176 km/h. Time = 289/176 = 1.642 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
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