messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 12, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (33-1)×12 = 40 + 384 = 424.\n</reasoning>\nFinal Answer: 424"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 556 ÷ -487"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 556 by -487. 556 ÷ -487 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 25 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 25 × (1 - 25/100) = 25 × 0.75 = 18.75.\n</reasoning>\nFinal Answer: 18.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 91 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(91+46) = 2×137 = 274.\n</reasoning>\nFinal Answer: 274"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 20 = 425"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 15x = 405. Divide by 15: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -70 + -206"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -70 and -206: -70 + -206 = -276.\n</reasoning>\nFinal Answer: -276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 759 × 507"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 759 by 507: 759 × 507 = 384813.\n</reasoning>\nFinal Answer: 384813"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -211 mod 736"
},
{
"role": "assistant",
"content": "<reasoning>\n-211 mod 736: -211 = 736 × -1 + 525, so remainder = 525.\n</reasoning>\nFinal Answer: 525"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -318 mod -559"
},
{
"role": "assistant",
"content": "<reasoning>\n-318 mod -559: -318 = -559 × 0 + -318, so remainder = -318.\n</reasoning>\nFinal Answer: -318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -16 = 584"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 15x = 600. Divide by 15: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 830 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 830 × (1 + 50/100) = 830 × 1.5 = 1245.0.\n</reasoning>\nFinal Answer: 1245.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 66, 19, 95, 10, 95, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 10 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 10 = -45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 11x = -55. Divide by 11: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 66 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 66 × 57 = 3762.\n</reasoning>\nFinal Answer: 3762"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -46 = 578"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 24x = 624. Divide by 24: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 142 km/h. How far does it travel in 10 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 7/60 = 10.1167 hours. Distance = speed × time = 142 × 10.1167 = 1436.5667 km.\n</reasoning>\nFinal Answer: 1436.5667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [72, 69, 58, 83, 28, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 47, 58, 69, 72, 83]. Middle value(s) → median = 63.5.\n</reasoning>\nFinal Answer: 63.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 415 + 941"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 415 and 941: 415 + 941 = 1356.\n</reasoning>\nFinal Answer: 1356"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 89, 29, 18, 48, 73, 37, 54, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 18 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 - 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/17 - 6/18. LCD = 51. Result = 10/51.\n</reasoning>\nFinal Answer: 10/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 64 apples and buys 11 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 64 + 11 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 195 apples and buys 130 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 195 + 130 = 325.\n</reasoning>\nFinal Answer: 325"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 40% of 895?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 895 = (40/100) × 895 = 358.0.\n</reasoning>\nFinal Answer: 358.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 * 2/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/10) × (2/5) = (30/50) = 3/5 after simplification.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×27)/3 = 270.\n</reasoning>\nFinal Answer: 270"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 97, 58, 36, 76, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 36 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 / 13/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/20) ÷ (13/11) = (17/20) × (11/13) = 187/260.\n</reasoning>\nFinal Answer: 187/260"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 14 = -561"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 25x = -575. Divide by 25: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "695 is what percentage of 836?"
},
{
"role": "assistant",
"content": "<reasoning>\n(695/836) × 100 = 83.134%.\n</reasoning>\nFinal Answer: 83.134%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 175 km/h. How far does it travel in 11 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 31/60 = 11.5167 hours. Distance = speed × time = 175 × 11.5167 = 2015.4167 km.\n</reasoning>\nFinal Answer: 2015.4167"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 13, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (21-1)×13 = 46 + 260 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹2456. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2456 × 18/100 = 442.08. Total = 2456 + 442.08 = 2898.08.\n</reasoning>\nFinal Answer: 2898.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [12, 5, 21, 86, 8, 53, 42, 17, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 311/9 = 34.5556.\n</reasoning>\nFinal Answer: 34.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 15 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 15 = 90 worker-days. New time = 90 / 4 = 22.5 days.\n</reasoning>\nFinal Answer: 22.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 270 + 858"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 270 and 858: 270 + 858 = 1128.\n</reasoning>\nFinal Answer: 1128"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 4 * 27 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×27=108, then 17+108-18=107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 11, 13, 14, 15, 17] and B = [5, 6, 13, 14, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 6, 7, 9, 11, 15, 17, 19].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -36 = -365"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 7x = -329. Divide by 7: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [97, 60, 56, 49, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 49 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹2711. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2711 × 5/100 = 135.55. Total = 2711 + 135.55 = 2846.55.\n</reasoning>\nFinal Answer: 2846.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 34 = 10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 8x = -24. Divide by 8: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 31 = 415"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 24x = 384. Divide by 24: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 80 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(80,35) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 24 and 128."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(24,128) = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 401 ÷ 272"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 401 by 272. 401 ÷ 272 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/8 * 14/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/8) × (14/10) = (42/80) = 21/40 after simplification.\n</reasoning>\nFinal Answer: 21/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 12 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 40+144-44=140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -544 mod 591"
},
{
"role": "assistant",
"content": "<reasoning>\n-544 mod 591: -544 = 591 × -1 + 47, so remainder = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×19)/1 = 437.\n</reasoning>\nFinal Answer: 437"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 54 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(54,29) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -24 = 678"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 27x = 702. Divide by 27: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 591 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 591 × (1 + 45/100) = 591 × 1.45 = 856.95.\n</reasoning>\nFinal Answer: 856.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 150 km/h. How far does it travel in 7 hours and 30 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 30/60 = 7.5000 hours. Distance = speed × time = 150 × 7.5000 = 1125.0 km.\n</reasoning>\nFinal Answer: 1125.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 7, 15, 16, 17, 19] and B = [2, 4, 8, 9, 10, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 6, 7, 8, 9, 10, 16, 17].\n</reaso... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 65% of 901?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 901 = (65/100) × 901 = 585.65.\n</reasoning>\nFinal Answer: 585.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 9 + 6 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×9=441 and 6×4=24, then add: 465.\n</reasoning>\nFinal Answer: 465"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -232 × 943"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -232 by 943: -232 × 943 = -218776.\n</reasoning>\nFinal Answer: -218776"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 + 5/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/18 + 5/2. Common denominator = 2. Result = 7/2.\n</reasoning>\nFinal Answer: 7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 43 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 8+1849-30=1827.\n</reasoning>\nFinal Answer: 1827"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "100 is what percentage of 620?"
},
{
"role": "assistant",
"content": "<reasoning>\n(100/620) × 100 = 16.129%.\n</reasoning>\nFinal Answer: 16.129%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 57, 86, 80, 99, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 43 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 17, 91, 84, 23, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 330/6 = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 83, 51, 4, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 286/5 = 57.2.\n</reasoning>\nFinal Answer: 57.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -150 + 308"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -150 and 308: -150 + 308 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (3)x + (-4) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 3² - 4×1×-4 = 25. √discriminant = 5. x = (-(3) ± 5) / (2×1). Solutions: x = -4 or x = 1.\n</reasoning>\nFinal Answer: x = -4 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 21, 90, 66, 43, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 5 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 20 = -24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 1x = -44. Divide by 1: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 428 - 134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 134 from 428: 428 - 134 = 294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4067. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4067 × 18/100 = 732.06. Total = 4067 + 732.06 = 4799.06.\n</reasoning>\nFinal Answer: 4799.06"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 1) * (25 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+1)=48, (25-15)=10, then 48×10=480.\n</reasoning>\nFinal Answer: 480"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 121 apples and buys 156 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 121 + 156 = 277.\n</reasoning>\nFinal Answer: 277"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 25 * 33 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×33=825, then 48+825-48=825.\n</reasoning>\nFinal Answer: 825"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 8, 9, 10, 12, 19] and B = [1, 5, 6, 7, 9, 10, 12, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7, 9, 10, 12].\n</reasoning>\nFinal Answer: [7, 9, 10, 12]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹4431. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4431 × 28/100 = 1240.68. Total = 4431 + 1240.68 = 5671.68.\n</reasoning>\nFinal Answer: 5671.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -530 × 481"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -530 by 481: -530 × 481 = -254930.\n</reasoning>\nFinal Answer: -254930"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7773 at 4% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7773 × 4 × 7 / 100 = 2176.44.\n</reasoning>\nFinal Answer: 2176.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 - 12/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/17 - 12/3. LCD = 17. Result = -65/17.\n</reasoning>\nFinal Answer: -65/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "65 is what percentage of 462?"
},
{
"role": "assistant",
"content": "<reasoning>\n(65/462) × 100 = 14.0693%.\n</reasoning>\nFinal Answer: 14.0693%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹1228. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1228 × 5/100 = 61.4. Total = 1228 + 61.4 = 1289.4.\n</reasoning>\nFinal Answer: 1289.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -10 = -262"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 21x = -252. Divide by 21: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:49 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/49, so B = A × (49/22) = 63 × 49/22 = 140.3182.\n</reasoning>\nFinal Answer: 140.3182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 1 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 49/60 = 1.8167 hours. Distance = speed × time = 182 × 1.8167 = 330.6333 km.\n</reasoning>\nFinal Answer: 330.6333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/20 * 19/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/20) × (19/5) = (152/100) = 38/25 after simplification.\n</reasoning>\nFinal Answer: 38/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 11 = -397"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 24x = -408. Divide by 24: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 15% of 190?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 190 = (15/100) × 190 = 28.5.\n</reasoning>\nFinal Answer: 28.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 520 + 444"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 520 and 444: 520 + 444 = 964.\n</reasoning>\nFinal Answer: 964"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 355 mod -28"
},
{
"role": "assistant",
"content": "<reasoning>\n355 mod -28: 355 = -28 × -13 + -9, so remainder = -9.\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 21 * 48 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×48=1008, then 25+1008-39=994.\n</reasoning>\nFinal Answer: 994"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/19 / 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/19) ÷ (18/12) = (3/19) × (12/18) = 2/19.\n</reasoning>\nFinal Answer: 2/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 46 * 18 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×18=828, then 42+828-19=851.\n</reasoning>\nFinal Answer: 851"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 7 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 28+49-6=71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 408 + -950"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 408 and -950: 408 + -950 = -542.\n</reasoning>\nFinal Answer: -542"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 130 km/h. How far does it travel in 2 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 16/60 = 2.2667 hours. Distance = speed × time = 130 × 2.2667 = 294.6667 km.\n</reasoning>\nFinal Answer: 294.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/10 - 18/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/10 - 18/16. LCD = 40. Result = 7/40.\n</reasoning>\nFinal Answer: 7/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -595 mod -444"
},
{
"role": "assistant",
"content": "<reasoning>\n-595 mod -444: -595 = -444 × 1 + -151, so remainder = -151.\n</reasoning>\nFinal Answer: -151"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 13, 19] and B = [2, 3, 7, 11, 12, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 6, 7, 11, 12, 13, 14, 19].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 51 and 130."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(51,130) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 9 + 11 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×9=27 and 11×50=550, then add: 577.\n</reasoning>\nFinal Answer: 577"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 833 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 833 × (1 - 45/100) = 833 × 0.55 = 458.15.\n</reasoning>\nFinal Answer: 458.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -447 × 793"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -447 by 793: -447 × 793 = -354471.\n</reasoning>\nFinal Answer: -354471"
}
] | medium | [
"arithmetic",
"computation"
] |
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