messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 70% of 597?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 597 = (70/100) × 597 = 417.9.\n</reasoning>\nFinal Answer: 417.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "577 is what percentage of 871?"
},
{
"role": "assistant",
"content": "<reasoning>\n(577/871) × 100 = 66.2457%.\n</reasoning>\nFinal Answer: 66.2457%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 22 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+22) × 42 = 1092.0.\n</reasoning>\nFinal Answer: 1092.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 47) * (8 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+47)=89, (8-33)=-25, then 89×-25=-2225.\n</reasoning>\nFinal Answer: -2225"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 50 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 1+2500-50=2451.\n</reasoning>\nFinal Answer: 2451"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12558 at 6% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12558 × 6 × 9 / 100 = 6781.32.\n</reasoning>\nFinal Answer: 6781.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:47 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/47, so B = A × (47/13) = 90 × 47/13 = 325.3846.\n</reasoning>\nFinal Answer: 325.3846"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 650 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 650 × (1 - 10/100) = 650 × 0.9 = 585.0.\n</reasoning>\nFinal Answer: 585.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 35 = 179"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 4x = 144. Divide by 4: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -8 = -195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 17x = -187. Divide by 17: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30184 at 17% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30184 × 17 × 6 / 100 = 30787.68.\n</reasoning>\nFinal Answer: 30787.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 58 and 130."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(58,130) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 189 × 394"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 189 by 394: 189 × 394 = 74466.\n</reasoning>\nFinal Answer: 74466"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 10 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 10+100-33=77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 53 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(53+9) = 2×62 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 + 20/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/12 + 20/11. Common denominator = 33. Result = 115/33.\n</reasoning>\nFinal Answer: 115/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -25 = 327"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 11x = 352. Divide by 11: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 14 * 35 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×35=490, then 32+490-27=495.\n</reasoning>\nFinal Answer: 495"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 35 and width 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(35+20) = 2×55 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 3, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (24-1)×3 = 22 + 69 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 31 = 841"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 30x = 810. Divide by 30: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [73, 29, 46, 87, 10, 52, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 29, 46, 52, 72, 73, 87]. Middle value(s) → median = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 17 = -731"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 17x = -748. Divide by 17: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 146 mod -553"
},
{
"role": "assistant",
"content": "<reasoning>\n146 mod -553: 146 = -553 × -1 + -407, so remainder = -407.\n</reasoning>\nFinal Answer: -407"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/6 + 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/6 + 15/16. Common denominator = 48. Result = 101/48.\n</reasoning>\nFinal Answer: 101/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23080 at 5% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23080 × 5 × 10 / 100 = 11540.0.\n</reasoning>\nFinal Answer: 11540.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 35 = 449"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 9x = 414. Divide by 9: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 31 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 12+961-27=946.\n</reasoning>\nFinal Answer: 946"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 2 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 2 × 33 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 32) * (3 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+32)=50, (3-12)=-9, then 50×-9=-450.\n</reasoning>\nFinal Answer: -450"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-14)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -14² - 4×2×0 = 196. √discriminant = 14. x = (-(-14) ± 14) / (2×2). Solutions: x = 7 or x = 0.\n</reasoning>\nFinal Answer: x = 7 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 50 = -301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 13x = -351. Divide by 13: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 247 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 247 × (1 - 3/100) = 247 × 0.97 = 239.59.\n</reasoning>\nFinal Answer: 239.59"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹187. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 187 × 5/100 = 9.35. Total = 187 + 9.35 = 196.35.\n</reasoning>\nFinal Answer: 196.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -2 = 610"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 18x = 612. Divide by 18: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 46 = -395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 9x = -441. Divide by 9: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 172 apples and buys 194 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 172 + 194 = 366.\n</reasoning>\nFinal Answer: 366"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 8, 12, 17] and B = [2, 9, 11, 13, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 5, 6, 8, 9, 11, 12, 13, 17, 19].\n</reasoning>\nFinal Answer: [1, 2, 5, 6, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 643 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 643 × (1 + 12/100) = 643 × 1.12 = 720.16.\n</reasoning>\nFinal Answer: 720.16"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -422 + 177"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -422 and 177: -422 + 177 = -245.\n</reasoning>\nFinal Answer: -245"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [56, 81, 69, 45, 19, 8, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 19, 30, 45, 56, 69, 81]. Middle value(s) → median = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -103 × 553"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -103 by 553: -103 × 553 = -56959.\n</reasoning>\nFinal Answer: -56959"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 * 12/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/17) × (12/16) = (120/272) = 15/34 after simplification.\n</reasoning>\nFinal Answer: 15/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 13 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 13 = 169 worker-days. New time = 169 / 16 = 10.5625 days.\n</reasoning>\nFinal Answer: 10.5625"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 427 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 427 × (1 - 90/100) = 427 × 0.09999999999999998 = 42.7.\n</reasoning>\nFinal Answer: 42.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/2 + 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/2 + 10/10. Common denominator = 2. Result = 15/2.\n</reasoning>\nFinal Answer: 15/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 14 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 14 = 196 worker-days. New time = 196 / 2 = 98.0 days.\n</reasoning>\nFinal Answer: 98.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 3, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (41-1)×3 = 13 + 120 = 133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 172 km/h. How far does it travel in 12 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 39/60 = 12.6500 hours. Distance = speed × time = 172 × 12.6500 = 2175.8 km.\n</reasoning>\nFinal Answer: 2175.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 27 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 27 = 432 worker-days. New time = 432 / 2 = 216.0 days.\n</reasoning>\nFinal Answer: 216.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 23 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 1+529-35=495.\n</reasoning>\nFinal Answer: 495"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 467 + -766"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 467 and -766: 467 + -766 = -299.\n</reasoning>\nFinal Answer: -299"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 891 km apart. Their speeds are 72 km/h and 74 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+74=146 km/h. Time = 891/146 = 6.1027 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 33 + 46 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×33=1122 and 46×18=828, then add: 1950.\n</reasoning>\nFinal Answer: 1950"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 75% of 533?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 533 = (75/100) × 533 = 399.75.\n</reasoning>\nFinal Answer: 399.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4745. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4745 × 28/100 = 1328.6. Total = 4745 + 1328.6 = 6073.6.\n</reasoning>\nFinal Answer: 6073.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/14 + 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/14 + 6/14. Common denominator = 14. Result = 15/14.\n</reasoning>\nFinal Answer: 15/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [7, 9, 11, 13, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 7 and common difference 2. Next term = 15 + 2 = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 723 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 723 × (1 - 12/100) = 723 × 0.88 = 636.24.\n</reasoning>\nFinal Answer: 636.24"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 47 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(47+74) = 2×121 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 9, 10, 18] and B = [2, 8, 10, 14, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 6, 8, 9, 14, 15, 18].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 167 km/h. How far does it travel in 3 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 48/60 = 3.8000 hours. Distance = speed × time = 167 × 3.8000 = 634.6 km.\n</reasoning>\nFinal Answer: 634.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 + 15/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/7 + 15/10. Common denominator = 14. Result = 61/14.\n</reasoning>\nFinal Answer: 61/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 21 = 909"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 24x = 888. Divide by 24: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [68, 100, 86, 61, 61, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 400/6 = 66.6667.\n</reasoning>\nFinal Answer: 66.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -642 × -973"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -642 by -973: -642 × -973 = 624666.\n</reasoning>\nFinal Answer: 624666"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 70 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(70+17) = 2×87 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "579 is what percentage of 582?"
},
{
"role": "assistant",
"content": "<reasoning>\n(579/582) × 100 = 99.4845%.\n</reasoning>\nFinal Answer: 99.4845%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 238 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from 238: 238 - 17 = 221.\n</reasoning>\nFinal Answer: 221"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 36 = 564"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 22x = 528. Divide by 22: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 86 ÷ 392"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 86 by 392. 86 ÷ 392 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 71 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(71,14) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹1927. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1927 × 5/100 = 96.35. Total = 1927 + 96.35 = 2023.35.\n</reasoning>\nFinal Answer: 2023.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:38 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/38, so B = A × (38/41) = 100 × 38/41 = 92.6829.\n</reasoning>\nFinal Answer: 92.6829"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 + 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/9 + 15/2. Common denominator = 18. Result = 173/18.\n</reasoning>\nFinal Answer: 173/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 36 + 32 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×36=1224 and 32×27=864, then add: 2088.\n</reasoning>\nFinal Answer: 2088"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 99 and width 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 99 × 76 = 7524.\n</reasoning>\nFinal Answer: 7524"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 4 = -1021"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 25x = -1025. Divide by 25: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 8, 15, 18, 19] and B = [6, 9, 13, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [19].\n</reasoning>\nFinal Answer: [19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 47 = 47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 26x = 0. Divide by 26: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [21, 74, 94, 39, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 278/5 = 55.6.\n</reasoning>\nFinal Answer: 55.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 19 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 19+361-30=350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 - 3/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/16 - 3/19. LCD = 152. Result = 109/152.\n</reasoning>\nFinal Answer: 109/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 894 km apart. Their speeds are 59 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 59+51=110 km/h. Time = 894/110 = 8.1273 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹487. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 487 × 5/100 = 24.35. Total = 487 + 24.35 = 511.35.\n</reasoning>\nFinal Answer: 511.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 22 = 202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 10x = 180. Divide by 10: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 63 ÷ -232"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 63 by -232. 63 ÷ -232 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 125 and 144."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(125,144) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 733 - -474"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -474 from 733: 733 - -474 = 1207.\n</reasoning>\nFinal Answer: 1207"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 + 8/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/12 + 8/4. Common denominator = 1. Result = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -39 = -167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 8x = -128. Divide by 8: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [5, 77, 84, 85, 20, 88, 97, 68, 52, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {5: 1, 77: 1, 84: 1, 85: 1, 20: 1, 88: 1, 97: 1, 68: 1, 52: 1, 82: 1}. Most frequent: [5, 77, 84, 85, 20, 88, 97, 68, 52, 82].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [10, 11, 12, 13] and B = [4, 13, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13].\n</reasoning>\nFinal Answer: [13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 / 1/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/18) ÷ (1/19) = (20/18) × (19/1) = 190/9.\n</reasoning>\nFinal Answer: 190/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:15 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/15, so B = A × (15/46) = 38 × 15/46 = 12.3913.\n</reasoning>\nFinal Answer: 12.3913"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 99 and width 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(99+20) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 18, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (18-1)×18 = 38 + 306 = 344.\n</reasoning>\nFinal Answer: 344"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 67, 59, 31, 77, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 67: 1, 59: 1, 31: 1, 77: 1, 29: 1}. Most frequent: [97, 67, 59, 31, 77, 29].\n</reasoning>\nFinal Answer: [97, 67, 59, 31, 77, 29]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 47 apples and buys 51 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 47 + 51 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [48, 68, 26, 48, 13, 18, 97, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 13, 18, 26, 48, 48, 68, 97]. Middle value(s) → median = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | medium | [
"statistics",
"median"
] |
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