messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the median of: [3, 70, 19, 22, 82, 53, 94, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 19, 22, 39, 53, 70, 82, 94]. Middle value(s) → median = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [10, 16, 17, 19] and B = [2, 7, 9, 12, 14, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [19].\n</reasoning>\nFinal Answer: [19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 60 km/h. How far does it travel in 3 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 26/60 = 3.4333 hours. Distance = speed × time = 60 × 3.4333 = 206.0 km.\n</reasoning>\nFinal Answer: 206.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "38 is what percentage of 65?"
},
{
"role": "assistant",
"content": "<reasoning>\n(38/65) × 100 = 58.4615%.\n</reasoning>\nFinal Answer: 58.4615%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 16/12 / 16/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/12) ÷ (16/13) = (16/12) × (13/16) = 13/12.\n</reasoning>\nFinal Answer: 13/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 893 - 147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 147 from 893: 893 - 147 = 746.\n</reasoning>\nFinal Answer: 746"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 904 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 904 × (1 - 17/100) = 904 × 0.83 = 750.32.\n</reasoning>\nFinal Answer: 750.32"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -343 - 982"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 982 from -343: -343 - 982 = -1325.\n</reasoning>\nFinal Answer: -1325"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 11, 15, 19] and B = [3, 11, 14, 16, 17, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 7, 15].\n</reasoning>\nFinal Answer: [5, 7, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 95, 48, 12, 6, 99, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 308/7 = 44.0.\n</reasoning>\nFinal Answer: 44.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:21 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/21, so B = A × (21/45) = 99 × 21/45 = 46.2.\n</reasoning>\nFinal Answer: 46.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 5% of 898?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 898 = (5/100) × 898 = 44.9.\n</reasoning>\nFinal Answer: 44.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 + 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/18 + 4/17. Common denominator = 102. Result = 109/102.\n</reasoning>\nFinal Answer: 109/102"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 768 × -855"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 768 by -855: 768 × -855 = -656640.\n</reasoning>\nFinal Answer: -656640"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [25, 39, 53, 67, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 25 and common difference 14. Next term = 81 + 14 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 28 = 811"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 29x = 783. Divide by 29: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -50 = -140"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 10x = -90. Divide by 10: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 48 apples and buys 86 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 48 + 86 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -38 = -769"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 17x = -731. Divide by 17: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 183 apples and buys 1 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 183 + 1 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 26 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 34+676-26=684.\n</reasoning>\nFinal Answer: 684"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 27 and height 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 27 × 51 = 688.5.\n</reasoning>\nFinal Answer: 688.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -20 = -5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 3x = 15. Divide by 3: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 95 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 95 × 25 = 2375.\n</reasoning>\nFinal Answer: 2375"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 870 + 468"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 870 and 468: 870 + 468 = 1338.\n</reasoning>\nFinal Answer: 1338"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 928 ÷ 692"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 928 by 692. 928 ÷ 692 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 45 = 345"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 6x = 300. Divide by 6: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 71, 83, 18, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 21, 37, 71, 83]. Middle value(s) → median = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 106 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(106,48) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 1, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (12-1)×1 = 49 + 11 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "257 is what percentage of 257?"
},
{
"role": "assistant",
"content": "<reasoning>\n(257/257) × 100 = 100.0%.\n</reasoning>\nFinal Answer: 100.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 4 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 48+16-43=21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -413 - -210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -210 from -413: -413 - -210 = -203.\n</reasoning>\nFinal Answer: -203"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -24 = -88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 16x = -64. Divide by 16: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 41 + 15 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×41=1763 and 15×26=390, then add: 2153.\n</reasoning>\nFinal Answer: 2153"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/19 + 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/19 + 15/13. Common denominator = 247. Result = 415/247.\n</reasoning>\nFinal Answer: 415/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 11, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (49-1)×11 = 6 + 528 = 534.\n</reasoning>\nFinal Answer: 534"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [80, 56, 70, 69, 76, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 56 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 180 - 266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 266 from 180: 180 - 266 = -86.\n</reasoning>\nFinal Answer: -86"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 18 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 18 = 324 worker-days. New time = 324 / 2 = 162.0 days.\n</reasoning>\nFinal Answer: 162.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -777 mod 333"
},
{
"role": "assistant",
"content": "<reasoning>\n-777 mod 333: -777 = 333 × -3 + 222, so remainder = 222.\n</reasoning>\nFinal Answer: 222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 6 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+6) × 20 = 170.0.\n</reasoning>\nFinal Answer: 170.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 892 - -833"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -833 from 892: 892 - -833 = 1725.\n</reasoning>\nFinal Answer: 1725"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [72, 61, 44, 25, 2, 34, 48, 70, 68, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {72: 1, 61: 1, 44: 1, 25: 1, 2: 1, 34: 1, 48: 1, 70: 1, 68: 1, 51: 1}. Most frequent: [72, 61, 44, 25, 2, 34, 48, 70, 68, 51].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 80 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 80 × 46 = 3680.\n</reasoning>\nFinal Answer: 3680"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 88 apples and buys 184 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 88 + 184 = 272.\n</reasoning>\nFinal Answer: 272"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -637 ÷ 957"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -637 by 957. -637 ÷ 957 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -25 = -267"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 11x = -242. Divide by 11: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:38 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/38, so B = A × (38/5) = 80 × 38/5 = 608.0.\n</reasoning>\nFinal Answer: 608.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 63 km/h. How far does it travel in 8 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 26/60 = 8.4333 hours. Distance = speed × time = 63 × 8.4333 = 531.3 km.\n</reasoning>\nFinal Answer: 531.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 21 * 14 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×14=294, then 37+294-19=312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 210 mod 869"
},
{
"role": "assistant",
"content": "<reasoning>\n210 mod 869: 210 = 869 × 0 + 210, so remainder = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 88."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 88 by smallest primes repeatedly: 88 = 2 × 2 × 2 × 11.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 11"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Given A = [5, 11, 13, 15, 17, 19] and B = [1, 3, 8, 9, 10], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 11, 13, 15, 17, 19].\n</reasoning>\nFinal Answer: [5, 11, 13, 15, 17, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹2012. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2012 × 28/100 = 563.36. Total = 2012 + 563.36 = 2575.36.\n</reasoning>\nFinal Answer: 2575.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -927 × 414"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -927 by 414: -927 × 414 = -383778.\n</reasoning>\nFinal Answer: -383778"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 588 km apart. Their speeds are 119 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 119+86=205 km/h. Time = 588/205 = 2.8683 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 182 apples and buys 134 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 182 + 134 = 316.\n</reasoning>\nFinal Answer: 316"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [50, 40, 29, 20, 87, 18, 13, 33, 4, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 342/10 = 34.2.\n</reasoning>\nFinal Answer: 34.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 30 + 23 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×30=450 and 23×16=368, then add: 818.\n</reasoning>\nFinal Answer: 818"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 659 km apart. Their speeds are 74 km/h and 59 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+59=133 km/h. Time = 659/133 = 4.9549 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -702 - 593"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 593 from -702: -702 - 593 = -1295.\n</reasoning>\nFinal Answer: -1295"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 32 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 32 × 46 = 736.0.\n</reasoning>\nFinal Answer: 736.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 588 × -367"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 588 by -367: 588 × -367 = -215796.\n</reasoning>\nFinal Answer: -215796"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [38, 100, 47, 58, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {38: 1, 100: 1, 47: 1, 58: 1, 51: 1}. Most frequent: [38, 100, 47, 58, 51].\n</reasoning>\nFinal Answer: [38, 100, 47, 58, 51]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 13, 16, 17, 18, 19] and B = [4, 5, 9, 11, 14, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 5, 7, 9, 11, 13, 14, 15, 16, 17, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 59 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 59 × 30 = 1770.\n</reasoning>\nFinal Answer: 1770"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 20 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 20 × 52 = 1040.\n</reasoning>\nFinal Answer: 1040"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [53, 8, 65, 57, 64, 3, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 65 - 3 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 64 and 101."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(64,101) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 72 km/h. How far does it travel in 6 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 36/60 = 6.6000 hours. Distance = speed × time = 72 × 6.6000 = 475.2 km.\n</reasoning>\nFinal Answer: 475.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [51, 57, 90, 20, 18, 87, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 20, 51, 57, 87, 90, 95]. Middle value(s) → median = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 0 = -741"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 19x = -741. Divide by 19: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 493 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 493 × (1 - 65/100) = 493 × 0.35 = 172.55.\n</reasoning>\nFinal Answer: 172.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 25, 55, 30, 55, 40, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 25: 1, 55: 2, 30: 1, 40: 1, 71: 1}. Most frequent: 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 28 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 28 = 504 worker-days. New time = 504 / 14 = 36.0 days.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 39 * 39 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×39=1521, then 5+1521-6=1520.\n</reasoning>\nFinal Answer: 1520"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30178 at 4% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30178 × 4 × 8 / 100 = 9656.96.\n</reasoning>\nFinal Answer: 9656.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -361 + -226"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -361 and -226: -361 + -226 = -587.\n</reasoning>\nFinal Answer: -587"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -656 - 737"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 737 from -656: -656 - 737 = -1393.\n</reasoning>\nFinal Answer: -1393"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -47 = -383"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 7x = -336. Divide by 7: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 51 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(51+64) = 2×115 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 81 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 81 × 10 = 810.\n</reasoning>\nFinal Answer: 810"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹2961. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2961 × 18/100 = 532.98. Total = 2961 + 532.98 = 3493.98.\n</reasoning>\nFinal Answer: 3493.98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2417 at 2% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2417 × 2 × 10 / 100 = 483.4.\n</reasoning>\nFinal Answer: 483.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:23 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/23, so B = A × (23/45) = 42 × 23/45 = 21.4667.\n</reasoning>\nFinal Answer: 21.4667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 886 mod 830"
},
{
"role": "assistant",
"content": "<reasoning>\n886 mod 830: 886 = 830 × 1 + 56, so remainder = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 38 = 1028"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 30x = 990. Divide by 30: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 88 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(88+97) = 2×185 = 370.\n</reasoning>\nFinal Answer: 370"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 340 ÷ -684"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 340 by -684. 340 ÷ -684 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 * 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/1) × (11/5) = (209/5) = 209/5 after simplification.\n</reasoning>\nFinal Answer: 209/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 10% of 83?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 83 = (10/100) × 83 = 8.3.\n</reasoning>\nFinal Answer: 8.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -8 = -146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 6x = -138. Divide by 6: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 2 + 50 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×2=94 and 50×34=1700, then add: 1794.\n</reasoning>\nFinal Answer: 1794"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 17 = 47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 3x = 30. Divide by 3: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43817 at 16% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43817 × 16 × 5 / 100 = 35053.6.\n</reasoning>\nFinal Answer: 35053.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -180 - -379"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -379 from -180: -180 - -379 = 199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "92 is what percentage of 137?"
},
{
"role": "assistant",
"content": "<reasoning>\n(92/137) × 100 = 67.1533%.\n</reasoning>\nFinal Answer: 67.1533%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -5 = 723"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 28x = 728. Divide by 28: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -527 ÷ 543"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -527 by 543. -527 ÷ 543 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
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