messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 55 and width 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(55+22) = 2×77 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 28 * 25 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×25=700, then 23+700-27=696.\n</reasoning>\nFinal Answer: 696"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 958 - 295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 295 from 958: 958 - 295 = 663.\n</reasoning>\nFinal Answer: 663"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 38 = 36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 1x = -2. Divide by 1: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:39 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/39, so B = A × (39/17) = 62 × 39/17 = 142.2353.\n</reasoning>\nFinal Answer: 142.2353"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 622 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 622 × (1 - 75/100) = 622 × 0.25 = 155.5.\n</reasoning>\nFinal Answer: 155.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [78, 92, 6, 98, 15, 22, 38, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 373/8 = 46.625.\n</reasoning>\nFinal Answer: 46.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹1250. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1250 × 12/100 = 150.0. Total = 1250 + 150.0 = 1400.0.\n</reasoning>\nFinal Answer: 1400.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32024 at 7% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32024 × 7 × 10 / 100 = 22416.8.\n</reasoning>\nFinal Answer: 22416.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 13 and height 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 13 × 90 = 1170.\n</reasoning>\nFinal Answer: 1170"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -10 = -252"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 11x = -242. Divide by 11: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 822 ÷ -179"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 822 by -179. 822 ÷ -179 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 34 and 131."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(34,131) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -549 ÷ -371"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -549 by -371. -549 ÷ -371 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10199 at 3% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10199 × 3 × 9 / 100 = 2753.73.\n</reasoning>\nFinal Answer: 2753.73"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/3 / 19/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/3) ÷ (19/11) = (4/3) × (11/19) = 44/57.\n</reasoning>\nFinal Answer: 44/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 24 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+24) × 40 = 1300.0.\n</reasoning>\nFinal Answer: 1300.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -26 = -121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 5x = -95. Divide by 5: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 118 km/h. How far does it travel in 5 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 26/60 = 5.4333 hours. Distance = speed × time = 118 × 5.4333 = 641.1333 km.\n</reasoning>\nFinal Answer: 641.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 388 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 388 × (1 - 90/100) = 388 × 0.09999999999999998 = 38.8.\n</reasoning>\nFinal Answer: 38.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -773 + 627"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -773 and 627: -773 + 627 = -146.\n</reasoning>\nFinal Answer: -146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 24, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 24 + 31 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 18 = -68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 2x = -86. Divide by 2: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 4, 24, 53, 63, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 74 - 4 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [63, 88, 5, 55, 94, 23, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {63: 1, 88: 1, 5: 2, 55: 1, 94: 1, 23: 1}. Most frequent: 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 14/14 / 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/14) ÷ (16/8) = (14/14) × (8/16) = 1/2.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 21, 65, 17, 45, 18, 43, 12, 2, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 2 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -480 × -823"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -480 by -823: -480 × -823 = 395040.\n</reasoning>\nFinal Answer: 395040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -16 = -959"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 23x = -943. Divide by 23: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -557 - -168"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -168 from -557: -557 - -168 = -389.\n</reasoning>\nFinal Answer: -389"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 20 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 5+400-47=358.\n</reasoning>\nFinal Answer: 358"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 - 9/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/8 - 9/7. LCD = 7. Result = 5/7.\n</reasoning>\nFinal Answer: 5/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:48 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/48, so B = A × (48/13) = 27 × 48/13 = 99.6923.\n</reasoning>\nFinal Answer: 99.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 44 + 10 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×44=2068 and 10×50=500, then add: 2568.\n</reasoning>\nFinal Answer: 2568"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 34 + 3 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×34=1292 and 3×1=3, then add: 1295.\n</reasoning>\nFinal Answer: 1295"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -45 = -545"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 20x = -500. Divide by 20: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -17 = -1029"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 23x = -1012. Divide by 23: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 46 = -359"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 9x = -405. Divide by 9: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 31 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+31) × 15 = 255.0.\n</reasoning>\nFinal Answer: 255.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39647 at 17% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39647 × 17 × 3 / 100 = 20219.97.\n</reasoning>\nFinal Answer: 20219.97"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [94, 56, 13, 33, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 13 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -49 = 1058"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 27x = 1107. Divide by 27: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×20)/4 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:20 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/20, so B = A × (20/24) = 92 × 20/24 = 76.6667.\n</reasoning>\nFinal Answer: 76.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×24)/2 = 552.\n</reasoning>\nFinal Answer: 552"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 37 + 997"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 37 and 997: 37 + 997 = 1034.\n</reasoning>\nFinal Answer: 1034"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 692 mod 665"
},
{
"role": "assistant",
"content": "<reasoning>\n692 mod 665: 692 = 665 × 1 + 27, so remainder = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 54 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(54,18) = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:47 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/47, so B = A × (47/49) = 10 × 47/49 = 9.5918.\n</reasoning>\nFinal Answer: 9.5918"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 154 × 543"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 154 by 543: 154 × 543 = 83622.\n</reasoning>\nFinal Answer: 83622"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [92, 50, 58, 19, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 306/5 = 61.2.\n</reasoning>\nFinal Answer: 61.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -1 = -1151"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 25x = -1150. Divide by 25: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 157 km apart. Their speeds are 76 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+115=191 km/h. Time = 157/191 = 0.822 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 49 + 43 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×49=1274 and 43×46=1978, then add: 3252.\n</reasoning>\nFinal Answer: 3252"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/16 * 19/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/16) × (19/14) = (38/224) = 19/112 after simplification.\n</reasoning>\nFinal Answer: 19/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 322 - 100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 100 from 322: 322 - 100 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 62 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 62 × 10 = 310.0.\n</reasoning>\nFinal Answer: 310.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹4729. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4729 × 12/100 = 567.48. Total = 4729 + 567.48 = 5296.48.\n</reasoning>\nFinal Answer: 5296.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -581 × -811"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -581 by -811: -581 × -811 = 471191.\n</reasoning>\nFinal Answer: 471191"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "402 is what percentage of 789?"
},
{
"role": "assistant",
"content": "<reasoning>\n(402/789) × 100 = 50.9506%.\n</reasoning>\nFinal Answer: 50.9506%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 130 × 230"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 130 by 230: 130 × 230 = 29900.\n</reasoning>\nFinal Answer: 29900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -736 mod -212"
},
{
"role": "assistant",
"content": "<reasoning>\n-736 mod -212: -736 = -212 × 3 + -100, so remainder = -100.\n</reasoning>\nFinal Answer: -100"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 479 + 358"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 479 and 358: 479 + 358 = 837.\n</reasoning>\nFinal Answer: 837"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 297 + -972"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 297 and -972: 297 + -972 = -675.\n</reasoning>\nFinal Answer: -675"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:25 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/25, so B = A × (25/49) = 25 × 25/49 = 12.7551.\n</reasoning>\nFinal Answer: 12.7551"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -19 = -201"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 13x = -182. Divide by 13: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 12% of 470?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 470 = (12/100) × 470 = 56.4.\n</reasoning>\nFinal Answer: 56.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 60 km/h. How far does it travel in 12 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 43/60 = 12.7167 hours. Distance = speed × time = 60 × 12.7167 = 763.0 km.\n</reasoning>\nFinal Answer: 763.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 726 ÷ -974"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 726 by -974. 726 ÷ -974 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 - 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/20 - 10/4. LCD = 4. Result = -7/4.\n</reasoning>\nFinal Answer: -7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 126 km/h. How far does it travel in 4 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 43/60 = 4.7167 hours. Distance = speed × time = 126 × 4.7167 = 594.3 km.\n</reasoning>\nFinal Answer: 594.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10843 at 11% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10843 × 11 × 5 / 100 = 5963.65.\n</reasoning>\nFinal Answer: 5963.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 704 mod -792"
},
{
"role": "assistant",
"content": "<reasoning>\n704 mod -792: 704 = -792 × -1 + -88, so remainder = -88.\n</reasoning>\nFinal Answer: -88"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 71 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(71+57) = 2×128 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -992 + 992"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -992 and 992: -992 + 992 = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 46 + 19 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×46=690 and 19×11=209, then add: 899.\n</reasoning>\nFinal Answer: 899"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/8 / 2/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/8) ÷ (2/9) = (13/8) × (9/2) = 117/16.\n</reasoning>\nFinal Answer: 117/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (21)x + (30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 21² - 4×3×30 = 81. √discriminant = 9. x = (-(21) ± 9) / (2×3). Solutions: x = -5 or x = -2.\n</reasoning>\nFinal Answer: x = -5 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 541 - -249"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -249 from 541: 541 - -249 = 790.\n</reasoning>\nFinal Answer: 790"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 56 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(56+98) = 2×154 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19113 at 14% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19113 × 14 × 5 / 100 = 13379.1.\n</reasoning>\nFinal Answer: 13379.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 19 * 50 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×50=950, then 9+950-42=917.\n</reasoning>\nFinal Answer: 917"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 18 apples and buys 25 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 18 + 25 = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3542. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3542 × 5/100 = 177.1. Total = 3542 + 177.1 = 3719.1.\n</reasoning>\nFinal Answer: 3719.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:28 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/28, so B = A × (28/48) = 14 × 28/48 = 8.1667.\n</reasoning>\nFinal Answer: 8.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -638 ÷ -954"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -638 by -954. -638 ÷ -954 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 / 3/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/17) ÷ (3/4) = (10/17) × (4/3) = 40/51.\n</reasoning>\nFinal Answer: 40/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [83, 68, 28, 72, 8, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 301/6 = 50.1667.\n</reasoning>\nFinal Answer: 50.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 97 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 97 × 8 = 776.\n</reasoning>\nFinal Answer: 776"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 32 = 74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 21x = 42. Divide by 21: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:40 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/40, so B = A × (40/47) = 86 × 40/47 = 73.1915.\n</reasoning>\nFinal Answer: 73.1915"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [26, 27, 38, 18, 73, 18, 36, 24, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {26: 1, 27: 1, 38: 1, 18: 2, 73: 1, 36: 1, 24: 1, 44: 1}. Most frequent: 18.\n</reasoning>\nFinal Answer: 18"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 285 km apart. Their speeds are 104 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+70=174 km/h. Time = 285/174 = 1.6379 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [87, 51, 70, 13, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 13 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 21 * 39 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×39=819, then 46+819-20=845.\n</reasoning>\nFinal Answer: 845"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [1, 4, 7, 10, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 1 and common difference 3. Next term = 13 + 3 = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -217 mod -74"
},
{
"role": "assistant",
"content": "<reasoning>\n-217 mod -74: -217 = -74 × 2 + -69, so remainder = -69.\n</reasoning>\nFinal Answer: -69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:26 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/26, so B = A × (26/18) = 45 × 26/18 = 65.0.\n</reasoning>\nFinal Answer: 65.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 20/1 + 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/1 + 1/14. Common denominator = 14. Result = 281/14.\n</reasoning>\nFinal Answer: 281/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 10, 12] and B = [1, 7, 8, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 10, 12].\n</reasoning>\nFinal Answer: [4, 10, 12]"
}
] | medium | [
"set_theory"
] |
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