messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Two trains start towards each other from stations 562 km apart. Their speeds are 46 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+101=147 km/h. Time = 562/147 = 3.8231 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 13, 75, 53, 43, 23, 15, 1, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 377/9 = 41.8889.\n</reasoning>\nFinal Answer: 41.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 104 + 262"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 104 and 262: 104 + 262 = 366.\n</reasoning>\nFinal Answer: 366"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 43 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 23+1849-21=1851.\n</reasoning>\nFinal Answer: 1851"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -558 ÷ -400"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -558 by -400. -558 ÷ -400 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 37 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 26+1369-8=1387.\n</reasoning>\nFinal Answer: 1387"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -407 + 652"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -407 and 652: -407 + 652 = 245.\n</reasoning>\nFinal Answer: 245"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "8 is what percentage of 208?"
},
{
"role": "assistant",
"content": "<reasoning>\n(8/208) × 100 = 3.8462%.\n</reasoning>\nFinal Answer: 3.8462%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 24 = 73"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 7x = 49. Divide by 7: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [62, 63, 8, 100, 48, 95, 75, 42, 16, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 513/10 = 51.3.\n</reasoning>\nFinal Answer: 51.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 15 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 15 = 165 worker-days. New time = 165 / 15 = 11.0 days.\n</reasoning>\nFinal Answer: 11.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:16 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/16, so B = A × (16/48) = 72 × 16/48 = 24.0.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 41 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+41) × 24 = 1068.0.\n</reasoning>\nFinal Answer: 1068.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:22 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/22, so B = A × (22/3) = 5 × 22/3 = 36.6667.\n</reasoning>\nFinal Answer: 36.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -18 = 1082"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 22x = 1100. Divide by 22: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×17)/1 = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 52 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 52 × 61 = 1586.0.\n</reasoning>\nFinal Answer: 1586.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -868 - -565"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -565 from -868: -868 - -565 = -303.\n</reasoning>\nFinal Answer: -303"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 2 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 18+4-39=-17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 29 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+29) × 37 = 684.5.\n</reasoning>\nFinal Answer: 684.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [12, 19, 26, 33, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 12 and common difference 7. Next term = 40 + 7 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -18 = -666"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 27x = -648. Divide by 27: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -749 × -344"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -749 by -344: -749 × -344 = 257656.\n</reasoning>\nFinal Answer: 257656"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/6 - 13/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/6 - 13/19. LCD = 57. Result = -1/57.\n</reasoning>\nFinal Answer: -1/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "219 is what percentage of 227?"
},
{
"role": "assistant",
"content": "<reasoning>\n(219/227) × 100 = 96.4758%.\n</reasoning>\nFinal Answer: 96.4758%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 41 = -751"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 18x = -792. Divide by 18: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 867 × -388"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 867 by -388: 867 × -388 = -336396.\n</reasoning>\nFinal Answer: -336396"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 24 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 24 × 3 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:7 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/7, so B = A × (7/13) = 72 × 7/13 = 38.7692.\n</reasoning>\nFinal Answer: 38.7692"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -69 × -717"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -69 by -717: -69 × -717 = 49473.\n</reasoning>\nFinal Answer: 49473"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -978 - 658"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 658 from -978: -978 - 658 = -1636.\n</reasoning>\nFinal Answer: -1636"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 18 + 8 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×18=612 and 8×44=352, then add: 964.\n</reasoning>\nFinal Answer: 964"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 952 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 952 × (1 - 40/100) = 952 × 0.6 = 571.2.\n</reasoning>\nFinal Answer: 571.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 96, 49, 21, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 1, 96: 1, 49: 1, 21: 1, 36: 1}. Most frequent: [65, 96, 49, 21, 36].\n</reasoning>\nFinal Answer: [65, 96, 49, 21, 36]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:47 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/47, so B = A × (47/48) = 63 × 47/48 = 61.6875.\n</reasoning>\nFinal Answer: 61.6875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 5 = -31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 12x = -36. Divide by 12: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [3, 38, 76, 18, 40, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 3 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -49 = 203"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 6x = 252. Divide by 6: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 90."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 90 by smallest primes repeatedly: 90 = 2 × 3 × 3 × 5.\n</reasoning>\nFinal Answer: 2 × 3 × 3 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 0 ÷ -985"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 0 by -985. 0 ÷ -985 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 is what percentage of 606?"
},
{
"role": "assistant",
"content": "<reasoning>\n(19/606) × 100 = 3.1353%.\n</reasoning>\nFinal Answer: 3.1353%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 18 = -2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 4x = -20. Divide by 4: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹303. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 303 × 18/100 = 54.54. Total = 303 + 54.54 = 357.54.\n</reasoning>\nFinal Answer: 357.54"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/7 - 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/7 - 6/14. LCD = 7. Result = 8/7.\n</reasoning>\nFinal Answer: 8/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 7, 16] and B = [7, 11, 14, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7].\n</reasoning>\nFinal Answer: [7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -967 mod 946"
},
{
"role": "assistant",
"content": "<reasoning>\n-967 mod 946: -967 = 946 × -2 + 925, so remainder = 925.\n</reasoning>\nFinal Answer: 925"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 19 = 829"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 27x = 810. Divide by 27: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 41 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 6+1681-2=1685.\n</reasoning>\nFinal Answer: 1685"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 21, 24, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 21 + 24 + 34 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 171 apples and buys 82 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 171 + 82 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -406 - -65"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -65 from -406: -406 - -65 = -341.\n</reasoning>\nFinal Answer: -341"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 986 × -156"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 986 by -156: 986 × -156 = -153816.\n</reasoning>\nFinal Answer: -153816"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 707 mod -805"
},
{
"role": "assistant",
"content": "<reasoning>\n707 mod -805: 707 = -805 × -1 + -98, so remainder = -98.\n</reasoning>\nFinal Answer: -98"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4204. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4204 × 28/100 = 1177.12. Total = 4204 + 1177.12 = 5381.12.\n</reasoning>\nFinal Answer: 5381.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 124."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 124 by smallest primes repeatedly: 124 = 2 × 2 × 31.\n</reasoning>\nFinal Answer: 2 × 2 × 31"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 15 and height 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 15 × 85 = 637.5.\n</reasoning>\nFinal Answer: 637.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 75% of 728?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 728 = (75/100) × 728 = 546.0.\n</reasoning>\nFinal Answer: 546.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -331 ÷ -896"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -331 by -896. -331 ÷ -896 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:16 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/16, so B = A × (16/37) = 58 × 16/37 = 25.0811.\n</reasoning>\nFinal Answer: 25.0811"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 75 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(75+66) = 2×141 = 282.\n</reasoning>\nFinal Answer: 282"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 6, 15, 16, 17] and B = [6, 9, 10, 13, 14, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3, 15, 16].\n</reasoning>\nFinal Answer: [1, 3, 15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 87, 17, 16, 50, 41, 13, 22, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 13 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹2489. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2489 × 5/100 = 124.45. Total = 2489 + 124.45 = 2613.45.\n</reasoning>\nFinal Answer: 2613.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1790. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1790 × 5/100 = 89.5. Total = 1790 + 89.5 = 1879.5.\n</reasoning>\nFinal Answer: 1879.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 14."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 14 by smallest primes repeatedly: 14 = 2 × 7.\n</reasoning>\nFinal Answer: 2 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 19 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 19 × 10 = 95.0.\n</reasoning>\nFinal Answer: 95.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [51, 35, 2, 8, 73, 46, 78, 55, 84, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 2 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -22 = 108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 13x = 130. Divide by 13: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -43 = 93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 17x = 136. Divide by 17: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 15 = 145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 13x = 130. Divide by 13: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 85 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 85 × 77 = 6545.\n</reasoning>\nFinal Answer: 6545"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 649 - 983"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 983 from 649: 649 - 983 = -334.\n</reasoning>\nFinal Answer: -334"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -16 = -844"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 18x = -828. Divide by 18: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 104 apples and buys 52 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 104 + 52 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [48, 74, 26, 26, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [26, 26, 40, 48, 74]. Middle value(s) → median = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 19/19 * 16/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/19) × (16/3) = (304/57) = 16/3 after simplification.\n</reasoning>\nFinal Answer: 16/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -42 - 202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 202 from -42: -42 - 202 = -244.\n</reasoning>\nFinal Answer: -244"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -330 mod -409"
},
{
"role": "assistant",
"content": "<reasoning>\n-330 mod -409: -330 = -409 × 0 + -330, so remainder = -330.\n</reasoning>\nFinal Answer: -330"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [71, 87, 19, 95, 7, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 365/6 = 60.8333.\n</reasoning>\nFinal Answer: 60.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -727 ÷ -157"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -727 by -157. -727 ÷ -157 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -833 × 551"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -833 by 551: -833 × 551 = -458983.\n</reasoning>\nFinal Answer: -458983"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:20 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/20, so B = A × (20/41) = 81 × 20/41 = 39.5122.\n</reasoning>\nFinal Answer: 39.5122"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 40 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+40) × 44 = 1452.0.\n</reasoning>\nFinal Answer: 1452.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 19 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 44+361-43=362.\n</reasoning>\nFinal Answer: 362"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 35 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+35) × 16 = 296.0.\n</reasoning>\nFinal Answer: 296.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 13 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (13×41)/1 = 533.\n</reasoning>\nFinal Answer: 533"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:6 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/6, so B = A × (6/38) = 55 × 6/38 = 8.6842.\n</reasoning>\nFinal Answer: 8.6842"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "39 is what percentage of 307?"
},
{
"role": "assistant",
"content": "<reasoning>\n(39/307) × 100 = 12.7036%.\n</reasoning>\nFinal Answer: 12.7036%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 10 = -200"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 15x = -210. Divide by 15: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 12) * (8 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+12)=48, (8-7)=1, then 48×1=48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 946 - -262"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -262 from 946: 946 - -262 = 1208.\n</reasoning>\nFinal Answer: 1208"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 25 + 14 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×25=700 and 14×11=154, then add: 854.\n</reasoning>\nFinal Answer: 854"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 41 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 6+1681-37=1650.\n</reasoning>\nFinal Answer: 1650"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -993 ÷ -829"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -993 by -829. -993 ÷ -829 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 48) * (50 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+48)=89, (50-30)=20, then 89×20=1780.\n</reasoning>\nFinal Answer: 1780"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 45 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 10+2025-29=2006.\n</reasoning>\nFinal Answer: 2006"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [8, 11, 80, 66, 23, 20, 67, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 11, 20, 23, 66, 67, 80, 95]. Middle value(s) → median = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 148 apples and buys 190 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 148 + 190 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 9 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 9 × 3 = 27.\n</reasoning>\nFinal Answer: 27"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 166 km/h. How far does it travel in 4 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 27/60 = 4.4500 hours. Distance = speed × time = 166 × 4.4500 = 738.7 km.\n</reasoning>\nFinal Answer: 738.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
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