messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 699 - -756"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -756 from 699: 699 - -756 = 1455.\n</reasoning>\nFinal Answer: 1455"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 332 ÷ 934"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 332 by 934. 332 ÷ 934 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 30 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+30) × 21 = 420.0.\n</reasoning>\nFinal Answer: 420.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -780 mod 967"
},
{
"role": "assistant",
"content": "<reasoning>\n-780 mod 967: -780 = 967 × -1 + 187, so remainder = 187.\n</reasoning>\nFinal Answer: 187"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -49 = -474"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 25x = -425. Divide by 25: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (6)x + (5) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 6² - 4×1×5 = 16. √discriminant = 4. x = (-(6) ± 4) / (2×1). Solutions: x = -1 or x = -5.\n</reasoning>\nFinal Answer: x = -1 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 60, 13, 79, 41, 4, 14, 20, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 255/9 = 28.3333.\n</reasoning>\nFinal Answer: 28.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 49 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 49 × 24 = 588.0.\n</reasoning>\nFinal Answer: 588.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 45 = 353"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 28x = 308. Divide by 28: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "44 is what percentage of 886?"
},
{
"role": "assistant",
"content": "<reasoning>\n(44/886) × 100 = 4.9661%.\n</reasoning>\nFinal Answer: 4.9661%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "125 is what percentage of 304?"
},
{
"role": "assistant",
"content": "<reasoning>\n(125/304) × 100 = 41.1184%.\n</reasoning>\nFinal Answer: 41.1184%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 + 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/1 + 6/18. Common denominator = 3. Result = 43/3.\n</reasoning>\nFinal Answer: 43/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "342 is what percentage of 785?"
},
{
"role": "assistant",
"content": "<reasoning>\n(342/785) × 100 = 43.5669%.\n</reasoning>\nFinal Answer: 43.5669%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 30% of 868?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 868 = (30/100) × 868 = 260.4.\n</reasoning>\nFinal Answer: 260.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31020 at 3% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31020 × 3 × 4 / 100 = 3722.4.\n</reasoning>\nFinal Answer: 3722.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -428 × 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -428 by 45: -428 × 45 = -19260.\n</reasoning>\nFinal Answer: -19260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 958 ÷ 352"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 958 by 352. 958 ÷ 352 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 45 = -45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 30x = -90. Divide by 30: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 40 and height 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 40 × 55 = 2200.\n</reasoning>\nFinal Answer: 2200"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/9 - 9/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/9 - 9/2. LCD = 18. Result = -49/18.\n</reasoning>\nFinal Answer: -49/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -21 = -931"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 26x = -910. Divide by 26: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "55 is what percentage of 226?"
},
{
"role": "assistant",
"content": "<reasoning>\n(55/226) × 100 = 24.3363%.\n</reasoning>\nFinal Answer: 24.3363%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 17 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 17 × 100 = 850.0.\n</reasoning>\nFinal Answer: 850.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 37 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 23+1369-8=1384.\n</reasoning>\nFinal Answer: 1384"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "33 is what percentage of 61?"
},
{
"role": "assistant",
"content": "<reasoning>\n(33/61) × 100 = 54.0984%.\n</reasoning>\nFinal Answer: 54.0984%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 73 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 73 × 44 = 3212.\n</reasoning>\nFinal Answer: 3212"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 465 - 303"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 303 from 465: 465 - 303 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 148?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 148 = (80/100) × 148 = 118.4.\n</reasoning>\nFinal Answer: 118.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 10 = 19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 1x = 9. Divide by 1: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -508 mod 123"
},
{
"role": "assistant",
"content": "<reasoning>\n-508 mod 123: -508 = 123 × -5 + 107, so remainder = 107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 418 + -257"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 418 and -257: 418 + -257 = 161.\n</reasoning>\nFinal Answer: 161"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 25 = -5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 2x = -30. Divide by 2: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -605 - -596"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -596 from -605: -605 - -596 = -9.\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -32 = -617"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 15x = -585. Divide by 15: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 35% of 279?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 279 = (35/100) × 279 = 97.65.\n</reasoning>\nFinal Answer: 97.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 38 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n38 = 2 × 19, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 14 + 45 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×14=630 and 45×36=1620, then add: 2250.\n</reasoning>\nFinal Answer: 2250"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 11, 13, 15] and B = [1, 2, 6, 7, 11, 14, 15, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 6, 13, 14, 16].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 50 = 770"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 24x = 720. Divide by 24: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 911 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 911 × (1 - 7/100) = 911 × 0.9299999999999999 = 847.23.\n</reasoning>\nFinal Answer: 847.23"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 3) * (33 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+3)=25, (33-16)=17, then 25×17=425.\n</reasoning>\nFinal Answer: 425"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 40 - -609"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -609 from 40: 40 - -609 = 649.\n</reasoning>\nFinal Answer: 649"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 * 4/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/18) × (4/6) = (72/108) = 2/3 after simplification.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:17 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/17, so B = A × (17/3) = 19 × 17/3 = 107.6667.\n</reasoning>\nFinal Answer: 107.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "567 is what percentage of 721?"
},
{
"role": "assistant",
"content": "<reasoning>\n(567/721) × 100 = 78.6408%.\n</reasoning>\nFinal Answer: 78.6408%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [11, 14, 45, 21, 6, 88, 10, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 294/8 = 36.75.\n</reasoning>\nFinal Answer: 36.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-10)x + (-315) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -10² - 4×5×-315 = 6400. √discriminant = 80. x = (-(-10) ± 80) / (2×5). Solutions: x = -7 or x = 9.\n</reasoning>\nFinal Answer: x = -7 or x =... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 99, 75, 34, 61, 40, 52, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 34, 40, 52, 61, 63, 75, 99]. Middle value(s) → median = 56.5.\n</reasoning>\nFinal Answer: 56.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:28 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/28, so B = A × (28/26) = 23 × 28/26 = 24.7692.\n</reasoning>\nFinal Answer: 24.7692"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:21 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/21, so B = A × (21/37) = 66 × 21/37 = 37.4595.\n</reasoning>\nFinal Answer: 37.4595"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 68 = 3944.\n</reasoning>\nFinal Answer: 3944"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "533 is what percentage of 607?"
},
{
"role": "assistant",
"content": "<reasoning>\n(533/607) × 100 = 87.8089%.\n</reasoning>\nFinal Answer: 87.8089%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 27 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 15+729-16=728.\n</reasoning>\nFinal Answer: 728"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 12) * (29 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+12)=36, (29-22)=7, then 36×7=252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39145 at 7% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39145 × 7 × 9 / 100 = 24661.35.\n</reasoning>\nFinal Answer: 24661.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 832 km apart. Their speeds are 88 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+58=146 km/h. Time = 832/146 = 5.6986 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -39 = 258"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 9x = 297. Divide by 9: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 93 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 93 × (1 - 100/100) = 93 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -13 = 179"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 24x = 192. Divide by 24: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 13 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+13) × 37 = 1128.5.\n</reasoning>\nFinal Answer: 1128.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 22, 71, 94, 21, 81, 59, 35, 68, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 22, 22, 35, 45, 59, 68, 71, 81, 94]. Middle value(s) → median = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 29 = -571"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 24x = -600. Divide by 24: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 35 * 46 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×46=1610, then 50+1610-1=1659.\n</reasoning>\nFinal Answer: 1659"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -15 = 1049"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 28x = 1064. Divide by 28: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 4 = 207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 7x = 203. Divide by 7: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 183 + 797"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 183 and 797: 183 + 797 = 980.\n</reasoning>\nFinal Answer: 980"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 67, 21, 26, 75, 31, 10, 88, 22, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 10 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -47 = 415"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 22x = 462. Divide by 22: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -70 × -85"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -70 by -85: -70 × -85 = 5950.\n</reasoning>\nFinal Answer: 5950"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -13 = 56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 3x = 69. Divide by 3: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 / 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/12) ÷ (19/16) = (1/12) × (16/19) = 4/57.\n</reasoning>\nFinal Answer: 4/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 146 apples and buys 47 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 146 + 47 = 193.\n</reasoning>\nFinal Answer: 193"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 20% of 928?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 928 = (20/100) × 928 = 185.6.\n</reasoning>\nFinal Answer: 185.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 12, 15, 52, 51, 67, 19, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 15, 19, 24, 51, 52, 67, 95]. Middle value(s) → median = 37.5.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 41 + 15 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×41=246 and 15×10=150, then add: 396.\n</reasoning>\nFinal Answer: 396"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -919 mod 11"
},
{
"role": "assistant",
"content": "<reasoning>\n-919 mod 11: -919 = 11 × -84 + 5, so remainder = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 92 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(92+52) = 2×144 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 46, 5, 100, 6, 74, 30, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 6, 30, 36, 44, 46, 74, 100]. Middle value(s) → median = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 60 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 60 × 75 = 2250.0.\n</reasoning>\nFinal Answer: 2250.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 214."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 214 by smallest primes repeatedly: 214 = 2 × 107.\n</reasoning>\nFinal Answer: 2 × 107"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 618 - 844"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 844 from 618: 618 - 844 = -226.\n</reasoning>\nFinal Answer: -226"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 66, 19, 10, 48, 98, 18, 84, 47, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 470/10 = 47.0.\n</reasoning>\nFinal Answer: 47.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -711 + -784"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -711 and -784: -711 + -784 = -1495.\n</reasoning>\nFinal Answer: -1495"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 235 km apart. Their speeds are 94 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+80=174 km/h. Time = 235/174 = 1.3506 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -259 ÷ -398"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -259 by -398. -259 ÷ -398 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 50 = -150"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 10x = -200. Divide by 10: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -199 - 138"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 138 from -199: -199 - 138 = -337.\n</reasoning>\nFinal Answer: -337"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 18 * 18 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×18=324, then 8+324-32=300.\n</reasoning>\nFinal Answer: 300"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -650 + 493"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -650 and 493: -650 + 493 = -157.\n</reasoning>\nFinal Answer: -157"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -576 ÷ 243"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -576 by 243. -576 ÷ 243 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:37 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/37, so B = A × (37/44) = 41 × 37/44 = 34.4773.\n</reasoning>\nFinal Answer: 34.4773"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:15 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/15, so B = A × (15/27) = 47 × 15/27 = 26.1111.\n</reasoning>\nFinal Answer: 26.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [81, 4, 44, 47, 22, 33, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 21, 22, 33, 44, 47, 81]. Middle value(s) → median = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 348 × 897"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 348 by 897: 348 × 897 = 312156.\n</reasoning>\nFinal Answer: 312156"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 728 mod 565"
},
{
"role": "assistant",
"content": "<reasoning>\n728 mod 565: 728 = 565 × 1 + 163, so remainder = 163.\n</reasoning>\nFinal Answer: 163"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 60 ÷ 220"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 60 by 220. 60 ÷ 220 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 18, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (30-1)×18 = 11 + 522 = 533.\n</reasoning>\nFinal Answer: 533"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -1 + 594"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -1 and 594: -1 + 594 = 593.\n</reasoning>\nFinal Answer: 593"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13571 at 16% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13571 × 16 × 7 / 100 = 15199.52.\n</reasoning>\nFinal Answer: 15199.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 78, 7, 16, 68, 57, 80, 73, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 7, 16, 50, 57, 68, 73, 78, 80]. Middle value(s) → median = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"statistics",
"median"
] |
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