messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 7/5 / 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/5) ÷ (9/20) = (7/5) × (20/9) = 28/9.\n</reasoning>\nFinal Answer: 28/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 13 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+13) × 25 = 412.5.\n</reasoning>\nFinal Answer: 412.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -37 = 227"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 8x = 264. Divide by 8: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -40 = 280"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 20x = 320. Divide by 20: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [97, 31, 53, 88, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 17 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 26, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 26 + 31 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 28, 37, 31, 80, 48, 95, 90, 60, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 28 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -33 = -194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 7x = -161. Divide by 7: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 95 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 95 × (1 - 65/100) = 95 × 0.35 = 33.25.\n</reasoning>\nFinal Answer: 33.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -7 = 1262"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 27x = 1269. Divide by 27: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [77, 60, 40, 55, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {77: 1, 60: 1, 40: 1, 55: 1, 37: 1}. Most frequent: [77, 60, 40, 55, 37].\n</reasoning>\nFinal Answer: [77, 60, 40, 55, 37]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [71, 41, 53, 34, 70, 9, 71, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 434/8 = 54.25.\n</reasoning>\nFinal Answer: 54.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 6, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (40-1)×6 = 6 + 234 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 16 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 45+256-34=267.\n</reasoning>\nFinal Answer: 267"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 123 apples and buys 18 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 123 + 18 = 141.\n</reasoning>\nFinal Answer: 141"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46005 at 18% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46005 × 18 × 3 / 100 = 24842.7.\n</reasoning>\nFinal Answer: 24842.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 316 mod 6"
},
{
"role": "assistant",
"content": "<reasoning>\n316 mod 6: 316 = 6 × 52 + 4, so remainder = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 12 = 297"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 19x = 285. Divide by 19: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 3, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (42-1)×3 = 2 + 123 = 125.\n</reasoning>\nFinal Answer: 125"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 98, 21, 1, 72, 65, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 10, 21, 58, 65, 72, 98]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43394 at 17% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43394 × 17 × 10 / 100 = 73769.8.\n</reasoning>\nFinal Answer: 73769.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -22 = 82"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 26x = 104. Divide by 26: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 89, 99, 14, 11, 91, 99, 44, 51, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 11 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -348 + 25"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -348 and 25: -348 + 25 = -323.\n</reasoning>\nFinal Answer: -323"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 164 ÷ 972"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 164 by 972. 164 ÷ 972 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -30 = -1111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 23x = -1081. Divide by 23: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/11 * 2/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/11) × (2/13) = (14/143) = 14/143 after simplification.\n</reasoning>\nFinal Answer: 14/143"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 42, 70, 12, 15, 5, 17, 50, 30, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 12, 15, 17, 30, 42, 50, 70, 81, 98]. Middle value(s) → median = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (0)x + (-16) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×4×-16 = 256. √discriminant = 16. x = (-(0) ± 16) / (2×4). Solutions: x = -2 or x = 2.\n</reasoning>\nFinal Answer: x = -2 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -573 ÷ -203"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -573 by -203. -573 ÷ -203 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/20 * 12/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/20) × (12/14) = (96/280) = 12/35 after simplification.\n</reasoning>\nFinal Answer: 12/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 43 * 17 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×17=731, then 28+731-4=755.\n</reasoning>\nFinal Answer: 755"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:17 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/17, so B = A × (17/26) = 76 × 17/26 = 49.6923.\n</reasoning>\nFinal Answer: 49.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 7 = 123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 29x = 116. Divide by 29: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (20)x + (-300) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×5×-300 = 6400. √discriminant = 80. x = (-(20) ± 80) / (2×5). Solutions: x = 6 or x = -10.\n</reasoning>\nFinal Answer: x = 6 or x = -1... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16748 at 18% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16748 × 18 × 2 / 100 = 6029.28.\n</reasoning>\nFinal Answer: 6029.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35037 at 1% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35037 × 1 × 8 / 100 = 2802.96.\n</reasoning>\nFinal Answer: 2802.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 53 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 53 × 58 = 1537.0.\n</reasoning>\nFinal Answer: 1537.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 65% of 54?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 54 = (65/100) × 54 = 35.1.\n</reasoning>\nFinal Answer: 35.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 * 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/15) × (3/16) = (48/240) = 1/5 after simplification.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 9 + 50 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×9=72 and 50×28=1400, then add: 1472.\n</reasoning>\nFinal Answer: 1472"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/8 - 16/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/8 - 16/15. LCD = 120. Result = -113/120.\n</reasoning>\nFinal Answer: -113/120"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×50)/2 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 77 and width 72."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(77+72) = 2×149 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 77, 20, 60, 49, 56, 24, 22, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 6 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 1 and width 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 1 × 49 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -27 = -81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 3x = -54. Divide by 3: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 29 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 29 = 580 worker-days. New time = 580 / 13 = 44.6154 days.\n</reasoning>\nFinal Answer: 44.6154"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -21 = -351"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 15x = -330. Divide by 15: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -32 = 264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 8x = 296. Divide by 8: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 6 + 1 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×6=66 and 1×30=30, then add: 96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 19 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 41+361-32=370.\n</reasoning>\nFinal Answer: 370"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:3 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/3, so B = A × (3/18) = 25 × 3/18 = 4.1667.\n</reasoning>\nFinal Answer: 4.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [41, 88, 62, 99, 62, 47, 71, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [41, 46, 47, 62, 62, 71, 88, 99]. Middle value(s) → median = 62.0.\n</reasoning>\nFinal Answer: 62.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 467 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 467 × (1 + 10/100) = 467 × 1.1 = 513.7.\n</reasoning>\nFinal Answer: 513.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 71 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 71 × 97 = 6887.\n</reasoning>\nFinal Answer: 6887"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 4/1 + 14/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/1 + 14/6. Common denominator = 3. Result = 19/3.\n</reasoning>\nFinal Answer: 19/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 91 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 91 × 60 = 5460.\n</reasoning>\nFinal Answer: 5460"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 738 - 79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 79 from 738: 738 - 79 = 659.\n</reasoning>\nFinal Answer: 659"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 44, 3 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (44+3) × 15 = 352.5.\n</reasoning>\nFinal Answer: 352.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 25 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 25 = 125 worker-days. New time = 125 / 7 = 17.8571 days.\n</reasoning>\nFinal Answer: 17.8571"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/7 - 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/7 - 18/17. LCD = 119. Result = -24/119.\n</reasoning>\nFinal Answer: -24/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 101 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(101,42) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -909 × -118"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -909 by -118: -909 × -118 = 107262.\n</reasoning>\nFinal Answer: 107262"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/3 - 20/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/3 - 20/9. LCD = 9. Result = 28/9.\n</reasoning>\nFinal Answer: 28/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 433 mod -922"
},
{
"role": "assistant",
"content": "<reasoning>\n433 mod -922: 433 = -922 × -1 + -489, so remainder = -489.\n</reasoning>\nFinal Answer: -489"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 205 ÷ -867"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 205 by -867. 205 ÷ -867 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 130 km/h. How far does it travel in 4 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 40/60 = 4.6667 hours. Distance = speed × time = 130 × 4.6667 = 606.6667 km.\n</reasoning>\nFinal Answer: 606.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -6 = 106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 8x = 112. Divide by 8: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 42 = -203"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 5x = -245. Divide by 5: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 40 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 46+1600-43=1603.\n</reasoning>\nFinal Answer: 1603"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -44 = -458"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 9x = -414. Divide by 9: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 96, 11, 90, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 11 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 615 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 615 × (1 - 100/100) = 615 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 151 km/h. How far does it travel in 4 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 31/60 = 4.5167 hours. Distance = speed × time = 151 × 4.5167 = 682.0167 km.\n</reasoning>\nFinal Answer: 682.0167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/11 - 15/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/11 - 15/11. LCD = 11. Result = 5/11.\n</reasoning>\nFinal Answer: 5/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:24 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/24, so B = A × (24/30) = 89 × 24/30 = 71.2.\n</reasoning>\nFinal Answer: 71.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 48 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+48) × 45 = 1192.5.\n</reasoning>\nFinal Answer: 1192.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:49 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/49, so B = A × (49/33) = 65 × 49/33 = 96.5152.\n</reasoning>\nFinal Answer: 96.5152"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "836 is what percentage of 979?"
},
{
"role": "assistant",
"content": "<reasoning>\n(836/979) × 100 = 85.3933%.\n</reasoning>\nFinal Answer: 85.3933%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 804 + -306"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 804 and -306: 804 + -306 = 498.\n</reasoning>\nFinal Answer: 498"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -472 mod 197"
},
{
"role": "assistant",
"content": "<reasoning>\n-472 mod 197: -472 = 197 × -3 + 119, so remainder = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 8 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 8 × 75 = 300.0.\n</reasoning>\nFinal Answer: 300.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 914 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 914 × (1 + 35/100) = 914 × 1.35 = 1233.9.\n</reasoning>\nFinal Answer: 1233.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -405 mod -824"
},
{
"role": "assistant",
"content": "<reasoning>\n-405 mod -824: -405 = -824 × 0 + -405, so remainder = -405.\n</reasoning>\nFinal Answer: -405"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 15, 17] and B = [5, 7, 9, 11, 13, 14, 15, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 17].\n</reasoning>\nFinal Answer: [6, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×16)/1 = 560.\n</reasoning>\nFinal Answer: 560"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [1, 14, 17, 18] and B = [1, 2, 3, 5, 7, 9, 14, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 7, 9, 17].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 165 km apart. Their speeds are 66 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 66+48=114 km/h. Time = 165/114 = 1.4474 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 105 km/h. How far does it travel in 1 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 29/60 = 1.4833 hours. Distance = speed × time = 105 × 1.4833 = 155.75 km.\n</reasoning>\nFinal Answer: 155.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 55 = 1952.5.\n</reasoning>\nFinal Answer: 1952.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 31."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 31 by smallest primes repeatedly: 31 = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -40 = -67"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 3x = -27. Divide by 3: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [6, 52, 62, 89, 56, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 6 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 11] and B = [3, 4, 5, 7, 8, 14, 16, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5].\n</reasoning>\nFinal Answer: [5]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 40 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 40 × 73 = 2920.\n</reasoning>\nFinal Answer: 2920"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:16 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/16, so B = A × (16/1) = 48 × 16/1 = 768.0.\n</reasoning>\nFinal Answer: 768.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 11 and width 14."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(11+14) = 2×25 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 28 apples and buys 119 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 28 + 119 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 26 * 16 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×16=416, then 5+416-26=395.\n</reasoning>\nFinal Answer: 395"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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