messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the range of: [61, 55, 83, 66, 77, 35, 30, 72, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 30 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 707 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 707 × (1 + 30/100) = 707 × 1.3 = 919.1.\n</reasoning>\nFinal Answer: 919.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:30 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/30, so B = A × (30/39) = 36 × 30/39 = 27.6923.\n</reasoning>\nFinal Answer: 27.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 23 = -414"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 19x = -437. Divide by 19: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 51 mod -716"
},
{
"role": "assistant",
"content": "<reasoning>\n51 mod -716: 51 = -716 × -1 + -665, so remainder = -665.\n</reasoning>\nFinal Answer: -665"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -36 = 702"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 18x = 738. Divide by 18: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 23 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 46+529-27=548.\n</reasoning>\nFinal Answer: 548"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31703 at 18% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31703 × 18 × 7 / 100 = 39945.78.\n</reasoning>\nFinal Answer: 39945.78"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -817 ÷ -316"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -817 by -316. -817 ÷ -316 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 22 = -297"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 11x = -319. Divide by 11: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -319 ÷ 622"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -319 by 622. -319 ÷ 622 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/11 / 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/11) ÷ (4/3) = (8/11) × (3/4) = 6/11.\n</reasoning>\nFinal Answer: 6/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 39 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 48+1521-37=1532.\n</reasoning>\nFinal Answer: 1532"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -273 ÷ -904"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -273 by -904. -273 ÷ -904 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -41 = 487"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 24x = 528. Divide by 24: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 139 km apart. Their speeds are 90 km/h and 96 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 90+96=186 km/h. Time = 139/186 = 0.7473 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -97 - -730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -730 from -97: -97 - -730 = 633.\n</reasoning>\nFinal Answer: 633"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 32 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 50+1024-41=1033.\n</reasoning>\nFinal Answer: 1033"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 58 km/h. How far does it travel in 6 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 3/60 = 6.0500 hours. Distance = speed × time = 58 × 6.0500 = 350.9 km.\n</reasoning>\nFinal Answer: 350.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -895 ÷ 484"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -895 by 484. -895 ÷ 484 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 6, 12, 14, 18] and B = [1, 6, 12, 14, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 6, 12, 14, 18].\n</reasoning>\nFinal Answer: [1, 6, 12, 14, 18]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 68 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 68 × 25 = 1700.\n</reasoning>\nFinal Answer: 1700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 310 × 548"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 310 by 548: 310 × 548 = 169880.\n</reasoning>\nFinal Answer: 169880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 17 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 17 = 136 worker-days. New time = 136 / 4 = 34.0 days.\n</reasoning>\nFinal Answer: 34.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 29 = -478"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 13x = -507. Divide by 13: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 6) * (4 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+6)=48, (4-20)=-16, then 48×-16=-768.\n</reasoning>\nFinal Answer: -768"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 688 - 305"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 305 from 688: 688 - 305 = 383.\n</reasoning>\nFinal Answer: 383"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -677 mod -554"
},
{
"role": "assistant",
"content": "<reasoning>\n-677 mod -554: -677 = -554 × 1 + -123, so remainder = -123.\n</reasoning>\nFinal Answer: -123"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25736 at 2% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25736 × 2 × 9 / 100 = 4632.48.\n</reasoning>\nFinal Answer: 4632.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 580 mod -334"
},
{
"role": "assistant",
"content": "<reasoning>\n580 mod -334: 580 = -334 × -2 + -88, so remainder = -88.\n</reasoning>\nFinal Answer: -88"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 248 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 248 × (1 + 12/100) = 248 × 1.12 = 277.76.\n</reasoning>\nFinal Answer: 277.76"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 433 km apart. Their speeds are 103 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+85=188 km/h. Time = 433/188 = 2.3032 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -299 × 310"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -299 by 310: -299 × 310 = -92690.\n</reasoning>\nFinal Answer: -92690"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:11 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/11, so B = A × (11/18) = 9 × 11/18 = 5.5.\n</reasoning>\nFinal Answer: 5.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -27 = -1350"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 27x = -1323. Divide by 27: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:46 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/46, so B = A × (46/16) = 45 × 46/16 = 129.375.\n</reasoning>\nFinal Answer: 129.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "20 is what percentage of 35?"
},
{
"role": "assistant",
"content": "<reasoning>\n(20/35) × 100 = 57.1429%.\n</reasoning>\nFinal Answer: 57.1429%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -345 mod -618"
},
{
"role": "assistant",
"content": "<reasoning>\n-345 mod -618: -345 = -618 × 0 + -345, so remainder = -345.\n</reasoning>\nFinal Answer: -345"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 385 ÷ 225"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 385 by 225. 385 ÷ 225 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3636. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3636 × 28/100 = 1018.08. Total = 3636 + 1018.08 = 4654.08.\n</reasoning>\nFinal Answer: 4654.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [46, 88, 75, 88, 37, 8, 20, 37, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 20, 37, 37, 46, 75, 88, 88, 92]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -457 × 953"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -457 by 953: -457 × 953 = -435521.\n</reasoning>\nFinal Answer: -435521"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -469 mod 540"
},
{
"role": "assistant",
"content": "<reasoning>\n-469 mod 540: -469 = 540 × -1 + 71, so remainder = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -369 - -612"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -612 from -369: -369 - -612 = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 581?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 581 = (15/100) × 581 = 87.15.\n</reasoning>\nFinal Answer: 87.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 141 km/h. How far does it travel in 1 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 50/60 = 1.8333 hours. Distance = speed × time = 141 × 1.8333 = 258.5 km.\n</reasoning>\nFinal Answer: 258.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [43, 53, 63, 73, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 43 and common difference 10. Next term = 83 + 10 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 30 * 45 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×45=1350, then 35+1350-46=1339.\n</reasoning>\nFinal Answer: 1339"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 14 = 112"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 14x = 98. Divide by 14: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×2)/2 = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 138 and 161."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(138,161) = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 654 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 654 × (1 - 3/100) = 654 × 0.97 = 634.38.\n</reasoning>\nFinal Answer: 634.38"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "452 is what percentage of 596?"
},
{
"role": "assistant",
"content": "<reasoning>\n(452/596) × 100 = 75.8389%.\n</reasoning>\nFinal Answer: 75.8389%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 42 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 42 × 98 = 4116.\n</reasoning>\nFinal Answer: 4116"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 * 15/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/9) × (15/15) = (270/135) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 89 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 89 × (1 - 5/100) = 89 × 0.95 = 84.55.\n</reasoning>\nFinal Answer: 84.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/11 + 14/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/11 + 14/14. Common denominator = 11. Result = 28/11.\n</reasoning>\nFinal Answer: 28/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/9 * 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/9) × (4/3) = (44/27) = 44/27 after simplification.\n</reasoning>\nFinal Answer: 44/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 851 km apart. Their speeds are 120 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 120+109=229 km/h. Time = 851/229 = 3.7162 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -724 × -668"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -724 by -668: -724 × -668 = 483632.\n</reasoning>\nFinal Answer: 483632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:16 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/16, so B = A × (16/14) = 27 × 16/14 = 30.8571.\n</reasoning>\nFinal Answer: 30.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 32 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (32×49)/1 = 1568.\n</reasoning>\nFinal Answer: 1568"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 / 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/1) ÷ (11/5) = (14/1) × (5/11) = 70/11.\n</reasoning>\nFinal Answer: 70/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -23 mod 436"
},
{
"role": "assistant",
"content": "<reasoning>\n-23 mod 436: -23 = 436 × -1 + 413, so remainder = 413.\n</reasoning>\nFinal Answer: 413"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 6 * 39 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×39=234, then 15+234-21=228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [6, 10, 12, 13, 15, 16] and B = [1, 4, 5, 7, 14, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 6, 7, 10, 12, 13, 14, 15, 16, 17, 19].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:31 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/31, so B = A × (31/8) = 74 × 31/8 = 286.75.\n</reasoning>\nFinal Answer: 286.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -1000 × 675"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -1000 by 675: -1000 × 675 = -675000.\n</reasoning>\nFinal Answer: -675000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9529 at 19% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9529 × 19 × 10 / 100 = 18105.1.\n</reasoning>\nFinal Answer: 18105.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48078 at 13% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48078 × 13 × 1 / 100 = 6250.14.\n</reasoning>\nFinal Answer: 6250.14"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 1, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (40-1)×1 = 5 + 39 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 30, 8, 14, 64, 59, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 14, 30, 59, 64, 75, 82]. Middle value(s) → median = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 334 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 334 × (1 - 15/100) = 334 × 0.85 = 283.9.\n</reasoning>\nFinal Answer: 283.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -430 × -261"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -430 by -261: -430 × -261 = 112230.\n</reasoning>\nFinal Answer: 112230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "11 is what percentage of 622?"
},
{
"role": "assistant",
"content": "<reasoning>\n(11/622) × 100 = 1.7685%.\n</reasoning>\nFinal Answer: 1.7685%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 98, 45, 52, 58, 87, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 98: 1, 45: 1, 52: 1, 58: 1, 87: 1, 9: 1}. Most frequent: [97, 98, 45, 52, 58, 87, 9].\n</reasoning>\nFinal Answer: [97, 98, 45, 52, 58, 87, 9... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16150 at 20% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16150 × 20 × 4 / 100 = 12920.0.\n</reasoning>\nFinal Answer: 12920.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 898 ÷ -603"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 898 by -603. 898 ÷ -603 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 371 ÷ -780"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 371 by -780. 371 ÷ -780 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 656 - 57"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 57 from 656: 656 - 57 = 599.\n</reasoning>\nFinal Answer: 599"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 46) * (11 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+46)=52, (11-16)=-5, then 52×-5=-260.\n</reasoning>\nFinal Answer: -260"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2848. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2848 × 5/100 = 142.4. Total = 2848 + 142.4 = 2990.4.\n</reasoning>\nFinal Answer: 2990.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 32 * 37 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×37=1184, then 32+1184-45=1171.\n</reasoning>\nFinal Answer: 1171"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [46, 41, 45, 95, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 230/5 = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-22)x + (20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -22² - 4×2×20 = 324. √discriminant = 18. x = (-(-22) ± 18) / (2×2). Solutions: x = 10 or x = 1.\n</reasoning>\nFinal Answer: x = 10 or x = 1"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 16/16 * 7/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/16) × (7/6) = (112/96) = 7/6 after simplification.\n</reasoning>\nFinal Answer: 7/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -2 = -113"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 3x = -111. Divide by 3: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:23 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/23, so B = A × (23/18) = 48 × 23/18 = 61.3333.\n</reasoning>\nFinal Answer: 61.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/2 / 9/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/2) ÷ (9/14) = (17/2) × (14/9) = 119/9.\n</reasoning>\nFinal Answer: 119/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [59, 43, 21, 12, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {59: 1, 43: 1, 21: 1, 12: 1, 38: 1}. Most frequent: [59, 43, 21, 12, 38].\n</reasoning>\nFinal Answer: [59, 43, 21, 12, 38]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -300 - 597"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 597 from -300: -300 - 597 = -897.\n</reasoning>\nFinal Answer: -897"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 7, 8, 11, 14, 19] and B = [5, 7, 11, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 7, 11].\n</reasoning>\nFinal Answer: [5, 7, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 16) * (40 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+16)=55, (40-20)=20, then 55×20=1100.\n</reasoning>\nFinal Answer: 1100"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 8 = -746"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 26x = -754. Divide by 26: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×2)/2 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -487 ÷ -168"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -487 by -168. -487 ÷ -168 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 19, 93, 14, 36, 1, 57, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 286/8 = 35.75.\n</reasoning>\nFinal Answer: 35.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 34 * 21 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×21=714, then 6+714-6=714.\n</reasoning>\nFinal Answer: 714"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×20)/1 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 26 apples and buys 13 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 26 + 13 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"word_problem",
"applied_math"
] |
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