messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -601 ÷ 870"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -601 by 870. -601 ÷ 870 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 48 km/h. How far does it travel in 9 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 26/60 = 9.4333 hours. Distance = speed × time = 48 × 9.4333 = 452.8 km.\n</reasoning>\nFinal Answer: 452.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -16 = -16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 21x = 0. Divide by 21: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/19 - 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/19 - 13/14. LCD = 266. Result = -23/266.\n</reasoning>\nFinal Answer: -23/266"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 12, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (36-1)×12 = 40 + 420 = 460.\n</reasoning>\nFinal Answer: 460"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 30 = 342"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 12x = 312. Divide by 12: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -37 = 163"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 8x = 200. Divide by 8: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [12, 93, 80, 54, 59, 4, 77, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 4 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:16 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/16, so B = A × (16/34) = 54 × 16/34 = 25.4118.\n</reasoning>\nFinal Answer: 25.4118"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 10 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 10 × 66 = 660.\n</reasoning>\nFinal Answer: 660"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -23 + 757"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -23 and 757: -23 + 757 = 734.\n</reasoning>\nFinal Answer: 734"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 765 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 765 × (1 + 20/100) = 765 × 1.2 = 918.0.\n</reasoning>\nFinal Answer: 918.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 835 - 837"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 837 from 835: 835 - 837 = -2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 46 = -458"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 21x = -504. Divide by 21: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/10 + 8/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/10 + 8/18. Common denominator = 45. Result = 92/45.\n</reasoning>\nFinal Answer: 92/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 39 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 12+1521-32=1501.\n</reasoning>\nFinal Answer: 1501"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 14 = 728"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 21x = 714. Divide by 21: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 244 km apart. Their speeds are 87 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+44=131 km/h. Time = 244/131 = 1.8626 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -530 ÷ -283"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -530 by -283. -530 ÷ -283 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 396 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 396 × (1 + 40/100) = 396 × 1.4 = 554.4.\n</reasoning>\nFinal Answer: 554.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 12, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (31-1)×12 = 33 + 360 = 393.\n</reasoning>\nFinal Answer: 393"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹1434. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1434 × 5/100 = 71.7. Total = 1434 + 71.7 = 1505.7.\n</reasoning>\nFinal Answer: 1505.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 9 + 28 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×9=297 and 28×7=196, then add: 493.\n</reasoning>\nFinal Answer: 493"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 185 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 185 × (1 + 75/100) = 185 × 1.75 = 323.75.\n</reasoning>\nFinal Answer: 323.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 25 + 19 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×25=125 and 19×42=798, then add: 923.\n</reasoning>\nFinal Answer: 923"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -7 = 71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 3x = 78. Divide by 3: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 44) * (7 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+44)=56, (7-23)=-16, then 56×-16=-896.\n</reasoning>\nFinal Answer: -896"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -10 = -7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 3x = 3. Divide by 3: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹206. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 206 × 28/100 = 57.68. Total = 206 + 57.68 = 263.68.\n</reasoning>\nFinal Answer: 263.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (14)x + (-36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 14² - 4×2×-36 = 484. √discriminant = 22. x = (-(14) ± 22) / (2×2). Solutions: x = 2 or x = -9.\n</reasoning>\nFinal Answer: x = 2 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -388 × 943"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -388 by 943: -388 × 943 = -365884.\n</reasoning>\nFinal Answer: -365884"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -24 = -192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 21x = -168. Divide by 21: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 7, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (27-1)×7 = 13 + 182 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [57, 95, 94, 17, 79, 93, 18, 85, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 581/9 = 64.5556.\n</reasoning>\nFinal Answer: 64.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 28 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 28 = 252 worker-days. New time = 252 / 12 = 21.0 days.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -36 = -104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 17x = -68. Divide by 17: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -48 = -1344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 27x = -1296. Divide by 27: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -949 ÷ -683"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -949 by -683. -949 ÷ -683 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 187 km/h. How far does it travel in 5 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 48/60 = 5.8000 hours. Distance = speed × time = 187 × 5.8000 = 1084.6 km.\n</reasoning>\nFinal Answer: 1084.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 407 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 407 × (1 - 35/100) = 407 × 0.65 = 264.55.\n</reasoning>\nFinal Answer: 264.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 65, 87, 60, 17, 88, 22, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 22, 36, 44, 60, 65, 87, 88]. Middle value(s) → median = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 17 + 10 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×17=510 and 10×6=60, then add: 570.\n</reasoning>\nFinal Answer: 570"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/5 / 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/5) ÷ (12/12) = (1/5) × (12/12) = 1/5.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 165 km/h. How far does it travel in 12 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 5/60 = 12.0833 hours. Distance = speed × time = 165 × 12.0833 = 1993.75 km.\n</reasoning>\nFinal Answer: 1993.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 627 + 167"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 627 and 167: 627 + 167 = 794.\n</reasoning>\nFinal Answer: 794"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 12 + 8 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×12=96 and 8×10=80, then add: 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 67 and 135."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(67,135) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 / 3/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/20) ÷ (3/18) = (9/20) × (18/3) = 27/10.\n</reasoning>\nFinal Answer: 27/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 92 km/h. How far does it travel in 7 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 44/60 = 7.7333 hours. Distance = speed × time = 92 × 7.7333 = 711.4667 km.\n</reasoning>\nFinal Answer: 711.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [40, 10, 26, 47, 95, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 26, 40, 47, 93, 95]. Middle value(s) → median = 43.5.\n</reasoning>\nFinal Answer: 43.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:15 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/15, so B = A × (15/26) = 32 × 15/26 = 18.4615.\n</reasoning>\nFinal Answer: 18.4615"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 11, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (44-1)×11 = 47 + 473 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 90 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 90 × 9 = 810.\n</reasoning>\nFinal Answer: 810"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -4 = -8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 2x = -4. Divide by 2: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 40% of 173?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 173 = (40/100) × 173 = 69.2.\n</reasoning>\nFinal Answer: 69.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 29, 35, 54, 53, 51, 84, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 29: 1, 35: 1, 54: 1, 53: 1, 51: 1, 84: 1, 45: 1}. Most frequent: [18, 29, 35, 54, 53, 51, 84, 45].\n</reasoning>\nFinal Answer: [18, 29,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 350 - 930"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 930 from 350: 350 - 930 = -580.\n</reasoning>\nFinal Answer: -580"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-4)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -4² - 4×4×0 = 16. √discriminant = 4. x = (-(-4) ± 4) / (2×4). Solutions: x = 0 or x = 1.\n</reasoning>\nFinal Answer: x = 0 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 15 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (15×33)/3 = 165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [2, 10, 14, 15] and B = [2, 4, 5, 13, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 15].\n</reasoning>\nFinal Answer: [10, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "145 is what percentage of 641?"
},
{
"role": "assistant",
"content": "<reasoning>\n(145/641) × 100 = 22.6209%.\n</reasoning>\nFinal Answer: 22.6209%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 567 km apart. Their speeds are 107 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 107+71=178 km/h. Time = 567/178 = 3.1854 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 36, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 36 + 39 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 15 apples and buys 183 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 15 + 183 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 94, 80, 97, 73, 37, 14, 13, 50, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 1, 94: 1, 80: 1, 97: 1, 73: 1, 37: 1, 14: 1, 13: 1, 50: 1, 21: 1}. Most frequent: [89, 94, 80, 97, 73, 37, 14, 13, 50, 21].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [90, 48, 70, 35, 32, 64, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 4 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×48)/2 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:49 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/49, so B = A × (49/12) = 75 × 49/12 = 306.25.\n</reasoning>\nFinal Answer: 306.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 27 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 27 = 243 worker-days. New time = 243 / 17 = 14.2941 days.\n</reasoning>\nFinal Answer: 14.2941"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/1 + 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/1 + 1/18. Common denominator = 18. Result = 109/18.\n</reasoning>\nFinal Answer: 109/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4879. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4879 × 18/100 = 878.22. Total = 4879 + 878.22 = 5757.22.\n</reasoning>\nFinal Answer: 5757.22"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [16, 70, 89, 77, 85, 44, 61, 77, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 16 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 78 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 78 × 83 = 3237.0.\n</reasoning>\nFinal Answer: 3237.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 4 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 38/60 = 4.6333 hours. Distance = speed × time = 95 × 4.6333 = 440.1667 km.\n</reasoning>\nFinal Answer: 440.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 39 * 14 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×14=546, then 38+546-10=574.\n</reasoning>\nFinal Answer: 574"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 20% of 740?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 740 = (20/100) × 740 = 148.0.\n</reasoning>\nFinal Answer: 148.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -744 × -324"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -744 by -324: -744 × -324 = 241056.\n</reasoning>\nFinal Answer: 241056"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1312. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1312 × 12/100 = 157.44. Total = 1312 + 157.44 = 1469.44.\n</reasoning>\nFinal Answer: 1469.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [1, 18, 81, 52, 1, 16, 47, 5, 14, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 1, 5, 14, 16, 18, 47, 47, 52, 81]. Middle value(s) → median = 17.0.\n</reasoning>\nFinal Answer: 17.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:27 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/27, so B = A × (27/38) = 20 × 27/38 = 14.2105.\n</reasoning>\nFinal Answer: 14.2105"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 9/2 / 8/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/2) ÷ (8/9) = (9/2) × (9/8) = 81/16.\n</reasoning>\nFinal Answer: 81/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 86 km/h. How far does it travel in 1 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 34/60 = 1.5667 hours. Distance = speed × time = 86 × 1.5667 = 134.7333 km.\n</reasoning>\nFinal Answer: 134.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 3 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+3) × 29 = 638.0.\n</reasoning>\nFinal Answer: 638.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [63, 5, 11, 61, 35, 30, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 63 - 5 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -31 = 437"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 13x = 468. Divide by 13: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 885 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 885 × (1 - 12/100) = 885 × 0.88 = 778.8.\n</reasoning>\nFinal Answer: 778.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -999 ÷ 295"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -999 by 295. -999 ÷ 295 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 40, 68, 68, 27, 60, 64, 33, 16, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 16 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 45) * (49 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+45)=70, (49-20)=29, then 70×29=2030.\n</reasoning>\nFinal Answer: 2030"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 43, 60, 52, 54, 98, 58, 75, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 40 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 4 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 4 × 41 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×6)/1 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Is 164 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n164 = 2 × 82, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: -735 - -593"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -593 from -735: -735 - -593 = -142.\n</reasoning>\nFinal Answer: -142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/4 - 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/4 - 13/18. LCD = 18. Result = 34/9.\n</reasoning>\nFinal Answer: 34/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/2 * 14/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/2) × (14/15) = (266/30) = 133/15 after simplification.\n</reasoning>\nFinal Answer: 133/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 17 * 42 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×42=714, then 34+714-47=701.\n</reasoning>\nFinal Answer: 701"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 87 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 87 × 23 = 2001.\n</reasoning>\nFinal Answer: 2001"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 18 + 39 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×18=756 and 39×27=1053, then add: 1809.\n</reasoning>\nFinal Answer: 1809"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -178 × -427"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -178 by -427: -178 × -427 = 76006.\n</reasoning>\nFinal Answer: 76006"
}
] | medium | [
"arithmetic",
"computation"
] |
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