messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -91 mod 523"
},
{
"role": "assistant",
"content": "<reasoning>\n-91 mod 523: -91 = 523 × -1 + 432, so remainder = 432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [56, 52, 56, 75, 1, 98, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {56: 2, 52: 1, 75: 1, 1: 1, 98: 1, 80: 1}. Most frequent: 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:7 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/7, so B = A × (7/25) = 75 × 7/25 = 21.0.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 372 ÷ -602"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 372 by -602. 372 ÷ -602 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 10, 16, 19] and B = [2, 3, 5, 13, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 5, 6, 8, 10, 13, 16, 19].\n</reasoning>\nFinal Answer: [2, 3, 5, 6, 8, 10, 13, 16,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 12/14 + 14/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/14 + 14/3. Common denominator = 21. Result = 116/21.\n</reasoning>\nFinal Answer: 116/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/12 * 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/12) × (9/16) = (72/192) = 3/8 after simplification.\n</reasoning>\nFinal Answer: 3/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 974 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 974 × (1 - 75/100) = 974 × 0.25 = 243.5.\n</reasoning>\nFinal Answer: 243.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -890 + -593"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -890 and -593: -890 + -593 = -1483.\n</reasoning>\nFinal Answer: -1483"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -319 + 428"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -319 and 428: -319 + 428 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 41 = -535"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 18x = -576. Divide by 18: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 124 km/h. How far does it travel in 8 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 0/60 = 8.0000 hours. Distance = speed × time = 124 × 8.0000 = 992.0 km.\n</reasoning>\nFinal Answer: 992.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 184 km/h. How far does it travel in 8 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 55/60 = 8.9167 hours. Distance = speed × time = 184 × 8.9167 = 1640.6667 km.\n</reasoning>\nFinal Answer: 1640.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 77 and 179."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(77,179) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 7, 8, 13] and B = [1, 7, 10, 13, 15, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 6, 7, 8, 10, 13, 15, 18, 19].\n</reasoning>\nFinal Answer: [1, 3, 6, 7, 8, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 175 apples and buys 183 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 175 + 183 = 358.\n</reasoning>\nFinal Answer: 358"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -34 = 262"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 8x = 296. Divide by 8: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [86, 62, 79, 31, 96, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 31 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -44 = -444"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 10x = -400. Divide by 10: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 7 = 327"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 10x = 320. Divide by 10: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 15) * (35 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+15)=61, (35-42)=-7, then 61×-7=-427.\n</reasoning>\nFinal Answer: -427"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 429."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 429 by smallest primes repeatedly: 429 = 3 × 11 × 13.\n</reasoning>\nFinal Answer: 3 × 11 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Ravi has 81 apples and buys 155 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 81 + 155 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 463 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 463 × (1 - 30/100) = 463 × 0.7 = 324.1.\n</reasoning>\nFinal Answer: 324.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -499 mod 130"
},
{
"role": "assistant",
"content": "<reasoning>\n-499 mod 130: -499 = 130 × -4 + 21, so remainder = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 / 13/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/6) ÷ (13/2) = (5/6) × (2/13) = 5/39.\n</reasoning>\nFinal Answer: 5/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 825 × 281"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 825 by 281: 825 × 281 = 231825.\n</reasoning>\nFinal Answer: 231825"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 27, 77, 73, 59, 27, 2, 57, 36, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 27, 27, 36, 56, 57, 59, 73, 77, 98]. Middle value(s) → median = 56.5.\n</reasoning>\nFinal Answer: 56.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 6 = 358"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 8x = 352. Divide by 8: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 29 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+29) × 15 = 367.5.\n</reasoning>\nFinal Answer: 367.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 17] and B = [3, 5, 9], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 5, 17].\n</reasoning>\nFinal Answer: [3, 4, 5, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 30 and common difference 5, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 30 + (11-1)×5 = 30 + 50 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 118 km/h. How far does it travel in 11 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 54/60 = 11.9000 hours. Distance = speed × time = 118 × 11.9000 = 1404.2 km.\n</reasoning>\nFinal Answer: 1404.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -348 - 159"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 159 from -348: -348 - 159 = -507.\n</reasoning>\nFinal Answer: -507"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/5 - 17/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/5 - 17/5. LCD = 5. Result = -6/5.\n</reasoning>\nFinal Answer: -6/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29560 at 5% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29560 × 5 × 8 / 100 = 11824.0.\n</reasoning>\nFinal Answer: 11824.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -693 + 139"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -693 and 139: -693 + 139 = -554.\n</reasoning>\nFinal Answer: -554"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/16 * 7/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/16) × (7/11) = (140/176) = 35/44 after simplification.\n</reasoning>\nFinal Answer: 35/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -8 = -52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 2x = -44. Divide by 2: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 + 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/16 + 15/17. Common denominator = 272. Result = 461/272.\n</reasoning>\nFinal Answer: 461/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 412 + -842"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 412 and -842: 412 + -842 = -430.\n</reasoning>\nFinal Answer: -430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 16 apples and buys 36 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 16 + 36 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 47 = -1142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 29x = -1189. Divide by 29: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 157."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 157 by smallest primes repeatedly: 157 = 157.\n</reasoning>\nFinal Answer: 157"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 39) * (50 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+39)=77, (50-38)=12, then 77×12=924.\n</reasoning>\nFinal Answer: 924"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 10, 11, 15, 16] and B = [6, 13, 15, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 6, 7, 10, 11, 13, 18].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 50 = -15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 13x = -65. Divide by 13: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 367 × -346"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 367 by -346: 367 × -346 = -126982.\n</reasoning>\nFinal Answer: -126982"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:19 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/19, so B = A × (19/25) = 65 × 19/25 = 49.4.\n</reasoning>\nFinal Answer: 49.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 30 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 30 = 90 worker-days. New time = 90 / 10 = 9.0 days.\n</reasoning>\nFinal Answer: 9.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 10, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (16-1)×10 = 21 + 150 = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 9, 11, 13, 14, 16, 17] and B = [1, 2, 4, 6, 12, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 6, 9, 11, 12, 13, 14, 17, 19]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 13/20 / 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/20) ÷ (8/1) = (13/20) × (1/8) = 13/160.\n</reasoning>\nFinal Answer: 13/160"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 935 ÷ 862"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 935 by 862. 935 ÷ 862 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -30 = -446"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 16x = -416. Divide by 16: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -271 + -546"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -271 and -546: -271 + -546 = -817.\n</reasoning>\nFinal Answer: -817"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 451 ÷ -791"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 451 by -791. 451 ÷ -791 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 23 = -34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 19x = -57. Divide by 19: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 + 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/14 + 2/14. Common denominator = 14. Result = 19/14.\n</reasoning>\nFinal Answer: 19/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:8 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/8, so B = A × (8/13) = 64 × 8/13 = 39.3846.\n</reasoning>\nFinal Answer: 39.3846"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 172 apples and buys 56 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 172 + 56 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -691 mod 736"
},
{
"role": "assistant",
"content": "<reasoning>\n-691 mod 736: -691 = 736 × -1 + 45, so remainder = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "334 is what percentage of 347?"
},
{
"role": "assistant",
"content": "<reasoning>\n(334/347) × 100 = 96.2536%.\n</reasoning>\nFinal Answer: 96.2536%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 13 * 24 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×24=312, then 12+312-20=304.\n</reasoning>\nFinal Answer: 304"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 5% of 219?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 219 = (5/100) × 219 = 10.95.\n</reasoning>\nFinal Answer: 10.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -376 - 914"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 914 from -376: -376 - 914 = -1290.\n</reasoning>\nFinal Answer: -1290"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -11 = -121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 10x = -110. Divide by 10: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [72, 100, 78, 48, 83, 28, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 28 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -634 ÷ 1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -634 by 1. -634 ÷ 1 = -634 (integer division).\n</reasoning>\nFinal Answer: -634"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [5, 34, 97, 21, 5, 26, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 5, 6, 21, 26, 34, 97]. Middle value(s) → median = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 3 = -39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 21x = -42. Divide by 21: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 46 * 22 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×22=1012, then 23+1012-20=1015.\n</reasoning>\nFinal Answer: 1015"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 379 km apart. Their speeds are 102 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 102+110=212 km/h. Time = 379/212 = 1.7877 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [8, 9, 10, 17, 19] and B = [2, 3, 8, 10, 14, 15, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 9, 14, 15, 19].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 49 * 25 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×25=1225, then 7+1225-27=1205.\n</reasoning>\nFinal Answer: 1205"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30554 at 6% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30554 × 6 × 10 / 100 = 18332.4.\n</reasoning>\nFinal Answer: 18332.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 66, 39, 97, 40, 48, 51, 97, 7, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 7 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 19/15 - 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/15 - 12/7. LCD = 105. Result = -47/105.\n</reasoning>\nFinal Answer: -47/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 14 = 864"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 25x = 850. Divide by 25: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -1 = 1103"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 24x = 1104. Divide by 24: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1679. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1679 × 12/100 = 201.48. Total = 1679 + 201.48 = 1880.48.\n</reasoning>\nFinal Answer: 1880.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 * 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/18) × (1/8) = (12/144) = 1/12 after simplification.\n</reasoning>\nFinal Answer: 1/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 - 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/7 - 10/9. LCD = 63. Result = 74/63.\n</reasoning>\nFinal Answer: 74/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 21 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 4+441-2=443.\n</reasoning>\nFinal Answer: 443"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 85 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 85 × 62 = 5270.\n</reasoning>\nFinal Answer: 5270"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 6 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 6 × (1 + 75/100) = 6 × 1.75 = 10.5.\n</reasoning>\nFinal Answer: 10.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 4, 40, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 4 + 40 + 40 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 29 = 489"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 10x = 460. Divide by 10: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 31 × 542"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 31 by 542: 31 × 542 = 16802.\n</reasoning>\nFinal Answer: 16802"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/8 / 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/8) ÷ (14/2) = (3/8) × (2/14) = 3/56.\n</reasoning>\nFinal Answer: 3/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 29 + 25 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×29=1160 and 25×2=50, then add: 1210.\n</reasoning>\nFinal Answer: 1210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:9 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/9, so B = A × (9/31) = 82 × 9/31 = 23.8065.\n</reasoning>\nFinal Answer: 23.8065"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 33 = 584"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 29x = 551. Divide by 29: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 49) * (26 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+49)=78, (26-44)=-18, then 78×-18=-1404.\n</reasoning>\nFinal Answer: -1404"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 40, 39, 44, 14, 74, 65, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 29, 39, 40, 44, 65, 73, 74]. Middle value(s) → median = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [29, 30, 82, 75, 70, 22, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {29: 1, 30: 1, 82: 1, 75: 1, 70: 1, 22: 1, 15: 1}. Most frequent: [29, 30, 82, 75, 70, 22, 15].\n</reasoning>\nFinal Answer: [29, 30, 82, 75, 70, 22... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:29 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/29, so B = A × (29/22) = 44 × 29/22 = 58.0.\n</reasoning>\nFinal Answer: 58.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [41, 42, 68, 50, 52, 1, 87, 38, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 38, 41, 42, 50, 52, 68, 72, 87]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [8, 23, 26, 8, 7, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 43 - 7 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 19 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+19) × 1 = 28.5.\n</reasoning>\nFinal Answer: 28.5"
}
] | medium | [
"geometry",
"area"
] |
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