messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 8/5 / 7/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/5) ÷ (7/20) = (8/5) × (20/7) = 32/7.\n</reasoning>\nFinal Answer: 32/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 467 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 467 × (1 - 5/100) = 467 × 0.95 = 443.65.\n</reasoning>\nFinal Answer: 443.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -908 × -768"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -908 by -768: -908 × -768 = 697344.\n</reasoning>\nFinal Answer: 697344"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 254 km apart. Their speeds are 92 km/h and 119 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+119=211 km/h. Time = 254/211 = 1.2038 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 76 mod -314"
},
{
"role": "assistant",
"content": "<reasoning>\n76 mod -314: 76 = -314 × -1 + -238, so remainder = -238.\n</reasoning>\nFinal Answer: -238"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 28) * (8 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+28)=37, (8-7)=1, then 37×1=37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -10 = 256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 14x = 266. Divide by 14: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 466 mod -23"
},
{
"role": "assistant",
"content": "<reasoning>\n466 mod -23: 466 = -23 × -21 + -17, so remainder = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -644 - 416"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 416 from -644: -644 - 416 = -1060.\n</reasoning>\nFinal Answer: -1060"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:18 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/18, so B = A × (18/8) = 49 × 18/8 = 110.25.\n</reasoning>\nFinal Answer: 110.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/8 + 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/8 + 17/13. Common denominator = 104. Result = 201/104.\n</reasoning>\nFinal Answer: 201/104"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 88 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(88+45) = 2×133 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33035 at 19% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33035 × 19 × 7 / 100 = 43936.55.\n</reasoning>\nFinal Answer: 43936.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 63, 40, 41, 79, 97, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 1, 63: 1, 40: 1, 41: 1, 79: 1, 97: 1, 91: 1}. Most frequent: [69, 63, 40, 41, 79, 97, 91].\n</reasoning>\nFinal Answer: [69, 63, 40, 41, 79, 97... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 2 = 632"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 21x = 630. Divide by 21: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 67 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 67 × 18 = 1206.\n</reasoning>\nFinal Answer: 1206"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 93 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 93 × 59 = 2743.5.\n</reasoning>\nFinal Answer: 2743.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 153 km/h. How far does it travel in 4 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 29/60 = 4.4833 hours. Distance = speed × time = 153 × 4.4833 = 685.95 km.\n</reasoning>\nFinal Answer: 685.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 14] and B = [3, 4, 6, 7, 10, 15, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [14].\n</reasoning>\nFinal Answer: [14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -544 mod -939"
},
{
"role": "assistant",
"content": "<reasoning>\n-544 mod -939: -544 = -939 × 0 + -544, so remainder = -544.\n</reasoning>\nFinal Answer: -544"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/10 - 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/10 - 8/5. LCD = 10. Result = 3/10.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 529 km apart. Their speeds are 115 km/h and 42 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+42=157 km/h. Time = 529/157 = 3.3694 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 116 km/h. How far does it travel in 1 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 10/60 = 1.1667 hours. Distance = speed × time = 116 × 1.1667 = 135.3333 km.\n</reasoning>\nFinal Answer: 135.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 14 * 24 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×24=336, then 16+336-50=302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 12 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 12 × 88 = 1056.\n</reasoning>\nFinal Answer: 1056"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 12/16 - 11/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/16 - 11/12. LCD = 12. Result = -1/6.\n</reasoning>\nFinal Answer: -1/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 74 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 74 × (1 + 75/100) = 74 × 1.75 = 129.5.\n</reasoning>\nFinal Answer: 129.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 8, 11, 15] and B = [6, 10, 11, 13, 14, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 6, 8, 10, 11, 13, 14, 15, 16].\n</reasoning>\nFinal Answer: [3, 5, 6, 8, 10, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [26, 92, 80, 93, 92, 98, 4, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {26: 1, 92: 2, 80: 1, 93: 1, 98: 1, 4: 1, 21: 1}. Most frequent: 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -37 = -479"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 26x = -442. Divide by 26: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 9, and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 9 + 12 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 14, 17] and B = [3, 7, 9, 11, 12, 13, 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": "Find the perimeter of a triangle with sides 15, 22, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 22 + 33 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹234. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 234 × 5/100 = 11.7. Total = 234 + 11.7 = 245.7.\n</reasoning>\nFinal Answer: 245.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/4 * 3/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/4) × (3/13) = (15/52) = 15/52 after simplification.\n</reasoning>\nFinal Answer: 15/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -104 × -794"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -104 by -794: -104 × -794 = 82576.\n</reasoning>\nFinal Answer: 82576"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 540 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 540 × (1 - 20/100) = 540 × 0.8 = 432.0.\n</reasoning>\nFinal Answer: 432.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:40 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/40, so B = A × (40/27) = 12 × 40/27 = 17.7778.\n</reasoning>\nFinal Answer: 17.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45842 at 11% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45842 × 11 × 4 / 100 = 20170.48.\n</reasoning>\nFinal Answer: 20170.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-18)x + (-120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -18² - 4×3×-120 = 1764. √discriminant = 42. x = (-(-18) ± 42) / (2×3). Solutions: x = 10 or x = -4.\n</reasoning>\nFinal Answer: x = 10 or x ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 25 = -689"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 17x = -714. Divide by 17: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23587 at 16% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23587 × 16 × 10 / 100 = 37739.2.\n</reasoning>\nFinal Answer: 37739.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [47, 37, 11, 58, 28, 82, 90, 44, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 445/9 = 49.4444.\n</reasoning>\nFinal Answer: 49.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 9, 41 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (9+41) × 3 = 75.0.\n</reasoning>\nFinal Answer: 75.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 511 × 392"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 511 by 392: 511 × 392 = 200312.\n</reasoning>\nFinal Answer: 200312"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 116 km/h. How far does it travel in 6 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 41/60 = 6.6833 hours. Distance = speed × time = 116 × 6.6833 = 775.2667 km.\n</reasoning>\nFinal Answer: 775.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 102 and 68."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(102,68) = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 730 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 730 × (1 + 10/100) = 730 × 1.1 = 803.0.\n</reasoning>\nFinal Answer: 803.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 16, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (33-1)×16 = 50 + 512 = 562.\n</reasoning>\nFinal Answer: 562"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 83 apples and buys 181 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 83 + 181 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 598 × 161"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 598 by 161: 598 × 161 = 96278.\n</reasoning>\nFinal Answer: 96278"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 99 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 99 × (1 + 40/100) = 99 × 1.4 = 138.6.\n</reasoning>\nFinal Answer: 138.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 135 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 135 × (1 - 10/100) = 135 × 0.9 = 121.5.\n</reasoning>\nFinal Answer: 121.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:26 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/26, so B = A × (26/11) = 84 × 26/11 = 198.5455.\n</reasoning>\nFinal Answer: 198.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -231 ÷ -111"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -231 by -111. -231 ÷ -111 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 9 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 9 = 180 worker-days. New time = 180 / 3 = 60.0 days.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [96, 66, 8, 96, 78, 35, 96, 70, 75, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 35, 66, 70, 70, 75, 78, 96, 96, 96]. Middle value(s) → median = 72.5.\n</reasoning>\nFinal Answer: 72.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 3/2 - 19/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/2 - 19/13. LCD = 26. Result = 1/26.\n</reasoning>\nFinal Answer: 1/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 9 * 25 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×25=225, then 41+225-5=261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:36 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/36, so B = A × (36/50) = 38 × 36/50 = 27.36.\n</reasoning>\nFinal Answer: 27.36"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [56, 14, 99, 84, 75, 51, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 14 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 30, 68, 90, 74, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 30 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 554 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 554 × (1 + 100/100) = 554 × 2.0 = 1108.0.\n</reasoning>\nFinal Answer: 1108.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "22 is what percentage of 40?"
},
{
"role": "assistant",
"content": "<reasoning>\n(22/40) × 100 = 55.0%.\n</reasoning>\nFinal Answer: 55.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "94 is what percentage of 888?"
},
{
"role": "assistant",
"content": "<reasoning>\n(94/888) × 100 = 10.5856%.\n</reasoning>\nFinal Answer: 10.5856%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -856 × 367"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -856 by 367: -856 × 367 = -314152.\n</reasoning>\nFinal Answer: -314152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 47 = 767"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 15x = 720. Divide by 15: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 4 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 42+16-7=51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -35 = 109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 6x = 144. Divide by 6: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -210 + -791"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -210 and -791: -210 + -791 = -1001.\n</reasoning>\nFinal Answer: -1001"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 55, 35, 66, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [29, 35, 55, 66, 100]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 3 = -247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 5x = -250. Divide by 5: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [15, 79, 10, 74, 1, 89, 46, 70, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 10, 15, 46, 70, 74, 79, 89, 93]. Middle value(s) → median = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 24) * (28 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+24)=70, (28-1)=27, then 70×27=1890.\n</reasoning>\nFinal Answer: 1890"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [2, 11, 91, 92, 95, 62, 29, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {2: 1, 11: 1, 91: 1, 92: 1, 95: 1, 62: 1, 29: 1, 71: 1}. Most frequent: [2, 11, 91, 92, 95, 62, 29, 71].\n</reasoning>\nFinal Answer: [2, 11, 91,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 44 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 45+1936-48=1933.\n</reasoning>\nFinal Answer: 1933"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 85, 13, 97, 100, 29, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 29, 44, 85, 94, 97, 100]. Middle value(s) → median = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -301 - 498"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 498 from -301: -301 - 498 = -799.\n</reasoning>\nFinal Answer: -799"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 25 = 525"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 10x = 500. Divide by 10: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 8) * (37 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+8)=36, (37-1)=36, then 36×36=1296.\n</reasoning>\nFinal Answer: 1296"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -455 mod 843"
},
{
"role": "assistant",
"content": "<reasoning>\n-455 mod 843: -455 = 843 × -1 + 388, so remainder = 388.\n</reasoning>\nFinal Answer: 388"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -23 = -322"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 13x = -299. Divide by 13: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -43 mod 253"
},
{
"role": "assistant",
"content": "<reasoning>\n-43 mod 253: -43 = 253 × -1 + 210, so remainder = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:28 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/28, so B = A × (28/49) = 79 × 28/49 = 45.1429.\n</reasoning>\nFinal Answer: 45.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 * 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/13) × (12/17) = (48/221) = 48/221 after simplification.\n</reasoning>\nFinal Answer: 48/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 736 mod 794"
},
{
"role": "assistant",
"content": "<reasoning>\n736 mod 794: 736 = 794 × 0 + 736, so remainder = 736.\n</reasoning>\nFinal Answer: 736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 90 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 90 × 2 = 90.0.\n</reasoning>\nFinal Answer: 90.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 291 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 291 × (1 + 30/100) = 291 × 1.3 = 378.3.\n</reasoning>\nFinal Answer: 378.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:38 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/38, so B = A × (38/35) = 38 × 38/35 = 41.2571.\n</reasoning>\nFinal Answer: 41.2571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 319 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from 319: 319 - 23 = 296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [88, 2, 93, 78, 29, 59, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 2 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 58 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 58 × 12 = 348.0.\n</reasoning>\nFinal Answer: 348.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 87 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 87 × 90 = 7830.\n</reasoning>\nFinal Answer: 7830"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 147 and 182."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(147,182) = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (50)x + (80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 50² - 4×5×80 = 900. √discriminant = 30. x = (-(50) ± 30) / (2×5). Solutions: x = -8 or x = -2.\n</reasoning>\nFinal Answer: x = -8 or x = -2"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24540 at 2% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24540 × 2 × 3 / 100 = 1472.4.\n</reasoning>\nFinal Answer: 1472.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 6, 12, and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 6 + 12 + 15 = 33.\n</reasoning>\nFinal Answer: 33"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 24 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (24×43)/1 = 1032.\n</reasoning>\nFinal Answer: 1032"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 667 mod 156"
},
{
"role": "assistant",
"content": "<reasoning>\n667 mod 156: 667 = 156 × 4 + 43, so remainder = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -877 - 331"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 331 from -877: -877 - 331 = -1208.\n</reasoning>\nFinal Answer: -1208"
}
] | medium | [
"arithmetic",
"computation"
] |
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