messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -458 ÷ 54"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -458 by 54. -458 ÷ 54 = -9 (integer division).\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 26 * 48 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×48=1248, then 48+1248-4=1292.\n</reasoning>\nFinal Answer: 1292"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [86, 45, 54, 59, 86, 9, 88, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 45, 54, 59, 86, 86, 88, 95]. Middle value(s) → median = 72.5.\n</reasoning>\nFinal Answer: 72.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 96, 73, 100, 80, 84, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [30, 65, 73, 80, 84, 96, 100]. Middle value(s) → median = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 20 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 20 × 13 = 130.0.\n</reasoning>\nFinal Answer: 130.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 100, 88, 41, 58, 26, 90, 25, 75, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [25, 26, 28, 41, 58, 68, 75, 88, 90, 100]. Middle value(s) → median = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -15 = -6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 9x = 9. Divide by 9: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 82, 2, 31, 81, 59, 64, 92, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 1, 82: 1, 2: 1, 31: 1, 81: 1, 59: 1, 64: 1, 92: 1, 44: 1}. Most frequent: [21, 82, 2, 31, 81, 59, 64, 92, 44].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 28 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 28 × 8 = 224.\n</reasoning>\nFinal Answer: 224"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 / 18/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/10) ÷ (18/10) = (8/10) × (10/18) = 4/9.\n</reasoning>\nFinal Answer: 4/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -989 + -25"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -989 and -25: -989 + -25 = -1014.\n</reasoning>\nFinal Answer: -1014"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 89 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(89,31) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 115 - 731"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 731 from 115: 115 - 731 = -616.\n</reasoning>\nFinal Answer: -616"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 49, 13, 62, 67, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 49: 1, 13: 1, 62: 1, 67: 1, 99: 1}. Most frequent: [86, 49, 13, 62, 67, 99].\n</reasoning>\nFinal Answer: [86, 49, 13, 62, 67, 99]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -548 × -989"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -548 by -989: -548 × -989 = 541972.\n</reasoning>\nFinal Answer: 541972"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -820 ÷ 980"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -820 by 980. -820 ÷ 980 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 82 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 82 × 39 = 3198.\n</reasoning>\nFinal Answer: 3198"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -29 = 1196"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 25x = 1225. Divide by 25: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/16 + 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/16 + 14/16. Common denominator = 16. Result = 31/16.\n</reasoning>\nFinal Answer: 31/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -616 + -720"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -616 and -720: -616 + -720 = -1336.\n</reasoning>\nFinal Answer: -1336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 67 and height 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 67 × 85 = 2847.5.\n</reasoning>\nFinal Answer: 2847.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -907 × -214"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -907 by -214: -907 × -214 = 194098.\n</reasoning>\nFinal Answer: 194098"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -17 = -185"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 21x = -168. Divide by 21: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/16 * 17/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/16) × (17/18) = (289/288) = 289/288 after simplification.\n</reasoning>\nFinal Answer: 289/288"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 16 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+16) × 26 = 676.0.\n</reasoning>\nFinal Answer: 676.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 69 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 69 × 63 = 4347.\n</reasoning>\nFinal Answer: 4347"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 25% of 447?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 447 = (25/100) × 447 = 111.75.\n</reasoning>\nFinal Answer: 111.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 781 × 264"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 781 by 264: 781 × 264 = 206184.\n</reasoning>\nFinal Answer: 206184"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 2, 59, 54, 54, 50, 55, 91, 17, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 522/10 = 52.2.\n</reasoning>\nFinal Answer: 52.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:29 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/29, so B = A × (29/44) = 71 × 29/44 = 46.7955.\n</reasoning>\nFinal Answer: 46.7955"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 40) * (48 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+40)=71, (48-1)=47, then 71×47=3337.\n</reasoning>\nFinal Answer: 3337"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/17 + 14/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/17 + 14/12. Common denominator = 102. Result = 167/102.\n</reasoning>\nFinal Answer: 167/102"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 28 + 13 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×28=28 and 13×33=429, then add: 457.\n</reasoning>\nFinal Answer: 457"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 50 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(50+41) = 2×91 = 182.\n</reasoning>\nFinal Answer: 182"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -22 = 170"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 24x = 192. Divide by 24: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 22 = 484"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 11x = 462. Divide by 11: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 72 km/h. How far does it travel in 2 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 13/60 = 2.2167 hours. Distance = speed × time = 72 × 2.2167 = 159.6 km.\n</reasoning>\nFinal Answer: 159.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/1 - 9/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/1 - 9/18. LCD = 2. Result = 1/2.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "640 is what percentage of 865?"
},
{
"role": "assistant",
"content": "<reasoning>\n(640/865) × 100 = 73.9884%.\n</reasoning>\nFinal Answer: 73.9884%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 197 km/h. How far does it travel in 6 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 47/60 = 6.7833 hours. Distance = speed × time = 197 × 6.7833 = 1336.3167 km.\n</reasoning>\nFinal Answer: 1336.3167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-90)x + (405) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -90² - 4×5×405 = 0. √discriminant = 0. x = (-(-90) ± 0) / (2×5). Solutions: x = 9 (double root).\n</reasoning>\nFinal Answer: x = 9 (double ro... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 / 9/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/10) ÷ (9/17) = (8/10) × (17/9) = 68/45.\n</reasoning>\nFinal Answer: 68/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35693 at 4% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35693 × 4 × 8 / 100 = 11421.76.\n</reasoning>\nFinal Answer: 11421.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 546 ÷ 633"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 546 by 633. 546 ÷ 633 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:25 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/25, so B = A × (25/23) = 90 × 25/23 = 97.8261.\n</reasoning>\nFinal Answer: 97.8261"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:46 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/46, so B = A × (46/25) = 25 × 46/25 = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 329 km apart. Their speeds are 108 km/h and 97 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+97=205 km/h. Time = 329/205 = 1.6049 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 77, 89, 86, 27, 65, 86, 18, 82, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 654/10 = 65.4.\n</reasoning>\nFinal Answer: 65.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 48 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+48) × 39 = 1287.0.\n</reasoning>\nFinal Answer: 1287.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 / 10/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/1) ÷ (10/1) = (8/1) × (1/10) = 4/5.\n</reasoning>\nFinal Answer: 4/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:48 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/48, so B = A × (48/30) = 97 × 48/30 = 155.2.\n</reasoning>\nFinal Answer: 155.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 9 = 459.\n</reasoning>\nFinal Answer: 459"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 581 - 814"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 814 from 581: 581 - 814 = -233.\n</reasoning>\nFinal Answer: -233"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -477 × -783"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -477 by -783: -477 × -783 = 373491.\n</reasoning>\nFinal Answer: 373491"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/18 - 20/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/18 - 20/5. LCD = 6. Result = -23/6.\n</reasoning>\nFinal Answer: -23/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 + 13/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/2 + 13/10. Common denominator = 10. Result = 103/10.\n</reasoning>\nFinal Answer: 103/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19005 at 14% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19005 × 14 × 9 / 100 = 23946.3.\n</reasoning>\nFinal Answer: 23946.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -762 - -596"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -596 from -762: -762 - -596 = -166.\n</reasoning>\nFinal Answer: -166"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 25% of 422?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 422 = (25/100) × 422 = 105.5.\n</reasoning>\nFinal Answer: 105.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:38 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/38, so B = A × (38/1) = 11 × 38/1 = 418.0.\n</reasoning>\nFinal Answer: 418.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Is 117 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n117 = 3 × 39, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Increase 99 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 99 × (1 + 80/100) = 99 × 1.8 = 178.2.\n</reasoning>\nFinal Answer: 178.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 - 2/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/18 - 2/3. LCD = 18. Result = 7/18.\n</reasoning>\nFinal Answer: 7/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -17 = 708"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 29x = 725. Divide by 29: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 73 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 73 × 63 = 4599.\n</reasoning>\nFinal Answer: 4599"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:48 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/48, so B = A × (48/13) = 51 × 48/13 = 188.3077.\n</reasoning>\nFinal Answer: 188.3077"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1600. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1600 × 18/100 = 288.0. Total = 1600 + 288.0 = 1888.0.\n</reasoning>\nFinal Answer: 1888.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/8 / 17/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/8) ÷ (17/15) = (6/8) × (15/17) = 45/68.\n</reasoning>\nFinal Answer: 45/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 639 × 647"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 639 by 647: 639 × 647 = 413433.\n</reasoning>\nFinal Answer: 413433"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3872. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3872 × 18/100 = 696.96. Total = 3872 + 696.96 = 4568.96.\n</reasoning>\nFinal Answer: 4568.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 88, 10, 75, 37, 99, 40, 8, 85, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 1, 88: 1, 10: 1, 75: 1, 37: 1, 99: 1, 40: 1, 8: 1, 85: 1, 34: 1}. Most frequent: [73, 88, 10, 75, 37, 99, 40, 8, 85, 34].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 13/1 / 11/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/1) ÷ (11/7) = (13/1) × (7/11) = 91/11.\n</reasoning>\nFinal Answer: 91/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23678 at 8% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23678 × 8 × 9 / 100 = 17048.16.\n</reasoning>\nFinal Answer: 17048.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/15 / 7/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/15) ÷ (7/19) = (9/15) × (19/7) = 57/35.\n</reasoning>\nFinal Answer: 57/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹726. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 726 × 12/100 = 87.12. Total = 726 + 87.12 = 813.12.\n</reasoning>\nFinal Answer: 813.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 37?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 37 = (45/100) × 37 = 16.65.\n</reasoning>\nFinal Answer: 16.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 664 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 664 × (1 + 90/100) = 664 × 1.9 = 1261.6.\n</reasoning>\nFinal Answer: 1261.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 40 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(40+59) = 2×99 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [25, 90, 81, 77, 56, 8, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 8 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "243 is what percentage of 280?"
},
{
"role": "assistant",
"content": "<reasoning>\n(243/280) × 100 = 86.7857%.\n</reasoning>\nFinal Answer: 86.7857%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 45% of 583?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 583 = (45/100) × 583 = 262.35.\n</reasoning>\nFinal Answer: 262.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (18)x + (28) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 18² - 4×2×28 = 100. √discriminant = 10. x = (-(18) ± 10) / (2×2). Solutions: x = -7 or x = -2.\n</reasoning>\nFinal Answer: x = -7 or x = -2"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:43 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/43, so B = A × (43/31) = 49 × 43/31 = 67.9677.\n</reasoning>\nFinal Answer: 67.9677"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [94, 99, 36, 69, 25, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 25, 36, 69, 94, 99]. Middle value(s) → median = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 21, 74, 41, 42, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 21: 1, 74: 1, 41: 1, 42: 1, 62: 1}. Most frequent: [6, 21, 74, 41, 42, 62].\n</reasoning>\nFinal Answer: [6, 21, 74, 41, 42, 62]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 120."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 120 by smallest primes repeatedly: 120 = 2 × 2 × 2 × 3 × 5.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 3 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 71, 31, 15, 16, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 71: 1, 31: 1, 15: 1, 16: 1, 67: 1}. Most frequent: [97, 71, 31, 15, 16, 67].\n</reasoning>\nFinal Answer: [97, 71, 31, 15, 16, 67]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 971 × 607"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 971 by 607: 971 × 607 = 589397.\n</reasoning>\nFinal Answer: 589397"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 * 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/14) × (18/7) = (342/98) = 171/49 after simplification.\n</reasoning>\nFinal Answer: 171/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 15, 18] and B = [2, 3, 4, 8, 9, 14, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 6, 8, 9, 14, 15, 16, 18, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 * 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/15) × (5/3) = (55/45) = 11/9 after simplification.\n</reasoning>\nFinal Answer: 11/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 28 = -523"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 19x = -551. Divide by 19: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [68, 61, 73, 85, 23, 32, 48, 4, 13, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 13, 23, 32, 39, 48, 61, 68, 73, 85]. Middle value(s) → median = 43.5.\n</reasoning>\nFinal Answer: 43.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 29 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 29 = 87 worker-days. New time = 87 / 12 = 7.25 days.\n</reasoning>\nFinal Answer: 7.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 26 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 26 = 104 worker-days. New time = 104 / 20 = 5.2 days.\n</reasoning>\nFinal Answer: 5.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×8)/1 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "404 is what percentage of 778?"
},
{
"role": "assistant",
"content": "<reasoning>\n(404/778) × 100 = 51.928%.\n</reasoning>\nFinal Answer: 51.928%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 323 mod -866"
},
{
"role": "assistant",
"content": "<reasoning>\n323 mod -866: 323 = -866 × -1 + -543, so remainder = -543.\n</reasoning>\nFinal Answer: -543"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -205 × 98"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -205 by 98: -205 × 98 = -20090.\n</reasoning>\nFinal Answer: -20090"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 189 km/h. How far does it travel in 12 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 19/60 = 12.3167 hours. Distance = speed × time = 189 × 12.3167 = 2327.85 km.\n</reasoning>\nFinal Answer: 2327.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
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