messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 594 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 594 × (1 + 40/100) = 594 × 1.4 = 831.6.\n</reasoning>\nFinal Answer: 831.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 38 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 48+1444-25=1467.\n</reasoning>\nFinal Answer: 1467"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 572 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 572 × (1 + 45/100) = 572 × 1.45 = 829.4.\n</reasoning>\nFinal Answer: 829.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×6)/1 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:47 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/47, so B = A × (47/44) = 7 × 47/44 = 7.4773.\n</reasoning>\nFinal Answer: 7.4773"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/17 * 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/17) × (8/8) = (64/136) = 8/17 after simplification.\n</reasoning>\nFinal Answer: 8/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 180 × 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 180 by 30: 180 × 30 = 5400.\n</reasoning>\nFinal Answer: 5400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 41 + 3 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×41=656 and 3×30=90, then add: 746.\n</reasoning>\nFinal Answer: 746"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:34 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/34, so B = A × (34/22) = 83 × 34/22 = 128.2727.\n</reasoning>\nFinal Answer: 128.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 398 + -410"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 398 and -410: 398 + -410 = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [47, 85, 46, 79, 35, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 35 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 151 apples and buys 69 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 151 + 69 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 10, 13, 17, 18] and B = [2, 3, 7, 11, 14, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 17].\n</reasoning>\nFinal Answer: [3, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 329 × 516"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 329 by 516: 329 × 516 = 169764.\n</reasoning>\nFinal Answer: 169764"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 79 = 6162.\n</reasoning>\nFinal Answer: 6162"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 44 * 10 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×10=440, then 42+440-20=462.\n</reasoning>\nFinal Answer: 462"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 78 km/h. How far does it travel in 7 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 13/60 = 7.2167 hours. Distance = speed × time = 78 × 7.2167 = 562.9 km.\n</reasoning>\nFinal Answer: 562.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 39 = -771"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 30x = -810. Divide by 30: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 87 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(87+93) = 2×180 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -700 mod 784"
},
{
"role": "assistant",
"content": "<reasoning>\n-700 mod 784: -700 = 784 × -1 + 84, so remainder = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 20, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (23-1)×20 = 32 + 440 = 472.\n</reasoning>\nFinal Answer: 472"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 17/11 - 18/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/11 - 18/3. LCD = 11. Result = -49/11.\n</reasoning>\nFinal Answer: -49/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 13 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+13) × 45 = 787.5.\n</reasoning>\nFinal Answer: 787.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -186 × 551"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -186 by 551: -186 × 551 = -102486.\n</reasoning>\nFinal Answer: -102486"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 65."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 65 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "318 is what percentage of 610?"
},
{
"role": "assistant",
"content": "<reasoning>\n(318/610) × 100 = 52.1311%.\n</reasoning>\nFinal Answer: 52.1311%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (39)x + (108) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 39² - 4×3×108 = 225. √discriminant = 15. x = (-(39) ± 15) / (2×3). Solutions: x = -9 or x = -4.\n</reasoning>\nFinal Answer: x = -9 or x = -4"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Increase 803 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 803 × (1 + 90/100) = 803 × 1.9 = 1525.7.\n</reasoning>\nFinal Answer: 1525.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -995 mod 152"
},
{
"role": "assistant",
"content": "<reasoning>\n-995 mod 152: -995 = 152 × -7 + 69, so remainder = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 2 = 272"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 18x = 270. Divide by 18: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/10 - 11/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/10 - 11/14. LCD = 70. Result = -27/70.\n</reasoning>\nFinal Answer: -27/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 46 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+46) × 32 = 1136.0.\n</reasoning>\nFinal Answer: 1136.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 138 km/h. How far does it travel in 6 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 26/60 = 6.4333 hours. Distance = speed × time = 138 × 6.4333 = 887.8 km.\n</reasoning>\nFinal Answer: 887.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 182 - 800"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 800 from 182: 182 - 800 = -618.\n</reasoning>\nFinal Answer: -618"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 67, 70, 54, 96, 8, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 8 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 46 * 26 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×26=1196, then 30+1196-34=1192.\n</reasoning>\nFinal Answer: 1192"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 40 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 1+1600-34=1567.\n</reasoning>\nFinal Answer: 1567"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/14 + 9/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/14 + 9/12. Common denominator = 28. Result = 27/28.\n</reasoning>\nFinal Answer: 27/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -384 × -454"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -384 by -454: -384 × -454 = 174336.\n</reasoning>\nFinal Answer: 174336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 62 - -983"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -983 from 62: 62 - -983 = 1045.\n</reasoning>\nFinal Answer: 1045"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [35, 72, 40, 59, 91, 82, 57, 83, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [35, 40, 57, 59, 72, 82, 83, 87, 91]. Middle value(s) → median = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 17 = -361"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 18x = -378. Divide by 18: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 188 apples and buys 32 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 188 + 32 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 123 km/h. How far does it travel in 8 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 40/60 = 8.6667 hours. Distance = speed × time = 123 × 8.6667 = 1066.0 km.\n</reasoning>\nFinal Answer: 1066.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 689 km apart. Their speeds are 80 km/h and 112 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 80+112=192 km/h. Time = 689/192 = 3.5885 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -300 mod 994"
},
{
"role": "assistant",
"content": "<reasoning>\n-300 mod 994: -300 = 994 × -1 + 694, so remainder = 694.\n</reasoning>\nFinal Answer: 694"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 8, 11, 15, 16] and B = [6, 7, 10, 11, 15, 16, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [11, 15, 16].\n</reasoning>\nFinal Answer: [11, 15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 150 - 972"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 972 from 150: 150 - 972 = -822.\n</reasoning>\nFinal Answer: -822"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [85, 84, 59, 24, 3, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {85: 1, 84: 1, 59: 1, 24: 1, 3: 1, 82: 1}. Most frequent: [85, 84, 59, 24, 3, 82].\n</reasoning>\nFinal Answer: [85, 84, 59, 24, 3, 82]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 28 = -377"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 15x = -405. Divide by 15: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 17 * 45 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×45=765, then 15+765-9=771.\n</reasoning>\nFinal Answer: 771"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:31 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/31, so B = A × (31/42) = 18 × 31/42 = 13.2857.\n</reasoning>\nFinal Answer: 13.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "1 is what percentage of 3?"
},
{
"role": "assistant",
"content": "<reasoning>\n(1/3) × 100 = 33.3333%.\n</reasoning>\nFinal Answer: 33.3333%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 4/1 + 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/1 + 15/16. Common denominator = 16. Result = 79/16.\n</reasoning>\nFinal Answer: 79/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 - 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/15 - 1/18. LCD = 18. Result = 11/18.\n</reasoning>\nFinal Answer: 11/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -436 × -137"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -436 by -137: -436 × -137 = 59732.\n</reasoning>\nFinal Answer: 59732"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -977 ÷ 513"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -977 by 513. -977 ÷ 513 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 68 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 68 × 40 = 2720.\n</reasoning>\nFinal Answer: 2720"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 27 = -317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 8x = -344. Divide by 8: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 5 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 5 = 75 worker-days. New time = 75 / 15 = 5.0 days.\n</reasoning>\nFinal Answer: 5.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/7 / 15/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/7) ÷ (15/6) = (7/7) × (6/15) = 2/5.\n</reasoning>\nFinal Answer: 2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 603 km apart. Their speeds are 60 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+76=136 km/h. Time = 603/136 = 4.4338 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 477 km apart. Their speeds are 53 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+110=163 km/h. Time = 477/163 = 2.9264 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 34 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 34+1156-13=1177.\n</reasoning>\nFinal Answer: 1177"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×28)/2 = 420.\n</reasoning>\nFinal Answer: 420"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 6 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 6 × 7 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 25 + 37 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×25=950 and 37×47=1739, then add: 2689.\n</reasoning>\nFinal Answer: 2689"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -1 mod 519"
},
{
"role": "assistant",
"content": "<reasoning>\n-1 mod 519: -1 = 519 × -1 + 518, so remainder = 518.\n</reasoning>\nFinal Answer: 518"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 25 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 25 × 12 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 23 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 23 × 60 = 1380.\n</reasoning>\nFinal Answer: 1380"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 26 = -832"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 26x = -858. Divide by 26: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:10 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/10, so B = A × (10/13) = 48 × 10/13 = 36.9231.\n</reasoning>\nFinal Answer: 36.9231"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 39 + 8 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×39=819 and 8×22=176, then add: 995.\n</reasoning>\nFinal Answer: 995"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 10, 12, 13, 15, 18] and B = [10, 15, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [6, 8, 12, 13, 16, 18, 19].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 70, 98, 77, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 27 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 10% of 142?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 142 = (10/100) × 142 = 14.2.\n</reasoning>\nFinal Answer: 14.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 28 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 28 × 91 = 2548.\n</reasoning>\nFinal Answer: 2548"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 915 + 82"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 915 and 82: 915 + 82 = 997.\n</reasoning>\nFinal Answer: 997"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/3 - 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/3 - 6/12. LCD = 6. Result = 25/6.\n</reasoning>\nFinal Answer: 25/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 234 + 643"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 234 and 643: 234 + 643 = 877.\n</reasoning>\nFinal Answer: 877"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 30 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+30) × 10 = 335.0.\n</reasoning>\nFinal Answer: 335.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 19, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (50-1)×19 = 50 + 931 = 981.\n</reasoning>\nFinal Answer: 981"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [22, 32, 59, 1, 58, 20, 61, 89, 23, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 1 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -413 × -390"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -413 by -390: -413 × -390 = 161070.\n</reasoning>\nFinal Answer: 161070"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 9, and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 9 + 10 = 24.\n</reasoning>\nFinal Answer: 24"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -121 ÷ 209"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -121 by 209. -121 ÷ 209 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [60, 70, 10, 59, 82, 45, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 27, 45, 59, 60, 70, 82]. Middle value(s) → median = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -773 mod 738"
},
{
"role": "assistant",
"content": "<reasoning>\n-773 mod 738: -773 = 738 × -2 + 703, so remainder = 703.\n</reasoning>\nFinal Answer: 703"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:35 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/35, so B = A × (35/7) = 4 × 35/7 = 20.0.\n</reasoning>\nFinal Answer: 20.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 542 - -388"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -388 from 542: 542 - -388 = 930.\n</reasoning>\nFinal Answer: 930"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 365 - -291"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -291 from 365: 365 - -291 = 656.\n</reasoning>\nFinal Answer: 656"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 32) * (43 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+32)=45, (43-12)=31, then 45×31=1395.\n</reasoning>\nFinal Answer: 1395"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [64, 86, 47, 63, 60, 33, 98, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 33 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:15 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/15, so B = A × (15/43) = 65 × 15/43 = 22.6744.\n</reasoning>\nFinal Answer: 22.6744"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 180 km apart. Their speeds are 63 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 63+41=104 km/h. Time = 180/104 = 1.7308 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3268. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3268 × 18/100 = 588.24. Total = 3268 + 588.24 = 3856.24.\n</reasoning>\nFinal Answer: 3856.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 39 = 429"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 10x = 390. Divide by 10: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 173 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 173 × (1 + 100/100) = 173 × 2.0 = 346.0.\n</reasoning>\nFinal Answer: 346.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -50 = 755"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 23x = 805. Divide by 23: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -351 ÷ 629"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -351 by 629. -351 ÷ 629 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
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