messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 2 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+2) × 48 = 1080.0.\n</reasoning>\nFinal Answer: 1080.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 780 ÷ -136"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 780 by -136. 780 ÷ -136 = -6 (integer division).\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 7 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 7 = 84 worker-days. New time = 84 / 11 = 7.6364 days.\n</reasoning>\nFinal Answer: 7.6364"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 119 km/h. How far does it travel in 6 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 56/60 = 6.9333 hours. Distance = speed × time = 119 × 6.9333 = 825.0667 km.\n</reasoning>\nFinal Answer: 825.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 9 and 183."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(9,183) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 25, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 25 + 32 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 91 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(91+37) = 2×128 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -44 = -71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 1x = -27. Divide by 1: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 37 = -1343"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 30x = -1380. Divide by 30: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 452 + -851"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 452 and -851: 452 + -851 = -399.\n</reasoning>\nFinal Answer: -399"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 123 × 547"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 123 by 547: 123 × 547 = 67281.\n</reasoning>\nFinal Answer: 67281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -875 + -387"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -875 and -387: -875 + -387 = -1262.\n</reasoning>\nFinal Answer: -1262"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:41 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/41, so B = A × (41/14) = 62 × 41/14 = 181.5714.\n</reasoning>\nFinal Answer: 181.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 15 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 15 × 88 = 1320.\n</reasoning>\nFinal Answer: 1320"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "604 is what percentage of 807?"
},
{
"role": "assistant",
"content": "<reasoning>\n(604/807) × 100 = 74.8451%.\n</reasoning>\nFinal Answer: 74.8451%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -737 + -761"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -737 and -761: -737 + -761 = -1498.\n</reasoning>\nFinal Answer: -1498"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 21 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 21 = 294 worker-days. New time = 294 / 9 = 32.6667 days.\n</reasoning>\nFinal Answer: 32.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [61, 16, 72, 62, 5, 31, 20, 28, 66, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 454/10 = 45.4.\n</reasoning>\nFinal Answer: 45.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 31 + 30 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×31=341 and 30×7=210, then add: 551.\n</reasoning>\nFinal Answer: 551"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 47 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+47) × 11 = 517.0.\n</reasoning>\nFinal Answer: 517.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 421 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 421 × (1 + 75/100) = 421 × 1.75 = 736.75.\n</reasoning>\nFinal Answer: 736.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:40 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/40, so B = A × (40/10) = 1 × 40/10 = 4.0.\n</reasoning>\nFinal Answer: 4.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/16 - 17/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/16 - 17/17. LCD = 16. Result = 3/16.\n</reasoning>\nFinal Answer: 3/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 21, 1, 59, 84, 85, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 3, 11, 21, 59, 84, 85]. Middle value(s) → median = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 875 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 875 × (1 + 75/100) = 875 × 1.75 = 1531.25.\n</reasoning>\nFinal Answer: 1531.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 462 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 462 × (1 - 90/100) = 462 × 0.09999999999999998 = 46.2.\n</reasoning>\nFinal Answer: 46.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 13 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 31+169-48=152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 17) * (44 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+17)=24, (44-37)=7, then 24×7=168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 173 km apart. Their speeds are 92 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+115=207 km/h. Time = 173/207 = 0.8357 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 530 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 530 × (1 + 10/100) = 530 × 1.1 = 583.0.\n</reasoning>\nFinal Answer: 583.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 610 km apart. Their speeds are 78 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 78+101=179 km/h. Time = 610/179 = 3.4078 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 44) * (31 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+44)=69, (31-17)=14, then 69×14=966.\n</reasoning>\nFinal Answer: 966"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 273 × -466"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 273 by -466: 273 × -466 = -127218.\n</reasoning>\nFinal Answer: -127218"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [96, 58, 99, 32, 1, 49, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {96: 1, 58: 1, 99: 1, 32: 1, 1: 1, 49: 1, 74: 1}. Most frequent: [96, 58, 99, 32, 1, 49, 74].\n</reasoning>\nFinal Answer: [96, 58, 99, 32, 1, 49, 74... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -712 + 552"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -712 and 552: -712 + 552 = -160.\n</reasoning>\nFinal Answer: -160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [100, 2, 7, 18, 77, 78, 71, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 381/8 = 47.625.\n</reasoning>\nFinal Answer: 47.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 663 + 819"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 663 and 819: 663 + 819 = 1482.\n</reasoning>\nFinal Answer: 1482"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 35 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 35 × (1 - 12/100) = 35 × 0.88 = 30.8.\n</reasoning>\nFinal Answer: 30.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (24)x + (-28) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 24² - 4×4×-28 = 1024. √discriminant = 32. x = (-(24) ± 32) / (2×4). Solutions: x = 1 or x = -7.\n</reasoning>\nFinal Answer: x = 1 or x = -7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -526 ÷ -282"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -526 by -282. -526 ÷ -282 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -26 = 298"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 18x = 324. Divide by 18: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (60)x + (135) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 60² - 4×5×135 = 900. √discriminant = 30. x = (-(60) ± 30) / (2×5). Solutions: x = -3 or x = -9.\n</reasoning>\nFinal Answer: x = -3 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×39)/3 = 429.\n</reasoning>\nFinal Answer: 429"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -162 ÷ -712"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -162 by -712. -162 ÷ -712 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [4, 23, 93, 64, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 273/5 = 54.6.\n</reasoning>\nFinal Answer: 54.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 5 * 44 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×44=220, then 6+220-12=214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -25 = -348"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 17x = -323. Divide by 17: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 / 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/5) ÷ (13/4) = (14/5) × (4/13) = 56/65.\n</reasoning>\nFinal Answer: 56/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40286 at 10% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40286 × 10 × 4 / 100 = 16114.4.\n</reasoning>\nFinal Answer: 16114.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -653 × 542"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -653 by 542: -653 × 542 = -353926.\n</reasoning>\nFinal Answer: -353926"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 20 = -79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 11x = -99. Divide by 11: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 87, 50, 61, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 313/5 = 62.6.\n</reasoning>\nFinal Answer: 62.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 14, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (49-1)×14 = 19 + 672 = 691.\n</reasoning>\nFinal Answer: 691"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [9, 36, 144, 576, 2304]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 9 and ratio 4. Next term = 2304 × 4 = 9216.\n</reasoning>\nFinal Answer: 9216"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 8 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(8+80) = 2×88 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [29, 41, 53, 65, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 29 and common difference 12. Next term = 77 + 12 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 380 mod -66"
},
{
"role": "assistant",
"content": "<reasoning>\n380 mod -66: 380 = -66 × -6 + -16, so remainder = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:24 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/24, so B = A × (24/37) = 70 × 24/37 = 45.4054.\n</reasoning>\nFinal Answer: 45.4054"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 89 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 89 × 41 = 1824.5.\n</reasoning>\nFinal Answer: 1824.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 690 km apart. Their speeds are 85 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+89=174 km/h. Time = 690/174 = 3.9655 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 60% of 661?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 661 = (60/100) × 661 = 396.6.\n</reasoning>\nFinal Answer: 396.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/12 * 16/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/12) × (16/4) = (224/48) = 14/3 after simplification.\n</reasoning>\nFinal Answer: 14/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:19 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/19, so B = A × (19/38) = 58 × 19/38 = 29.0.\n</reasoning>\nFinal Answer: 29.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/2 - 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/2 - 10/13. LCD = 13. Result = 81/13.\n</reasoning>\nFinal Answer: 81/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -19 ÷ -919"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -19 by -919. -19 ÷ -919 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "724 is what percentage of 844?"
},
{
"role": "assistant",
"content": "<reasoning>\n(724/844) × 100 = 85.782%.\n</reasoning>\nFinal Answer: 85.782%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 745 × 715"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 745 by 715: 745 × 715 = 532675.\n</reasoning>\nFinal Answer: 532675"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [39, 1, 44, 55, 55, 92, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 1 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:49 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/49, so B = A × (49/23) = 89 × 49/23 = 189.6087.\n</reasoning>\nFinal Answer: 189.6087"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 377 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 377 × (1 + 100/100) = 377 × 2.0 = 754.0.\n</reasoning>\nFinal Answer: 754.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -447 + 288"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -447 and 288: -447 + 288 = -159.\n</reasoning>\nFinal Answer: -159"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 78 and 53."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(78,53) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -29 = 511"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 20x = 540. Divide by 20: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 577 ÷ 811"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 577 by 811. 577 ÷ 811 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:32 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/32, so B = A × (32/19) = 44 × 32/19 = 74.1053.\n</reasoning>\nFinal Answer: 74.1053"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 16 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 16 × 67 = 1072.\n</reasoning>\nFinal Answer: 1072"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -753 mod -488"
},
{
"role": "assistant",
"content": "<reasoning>\n-753 mod -488: -753 = -488 × 1 + -265, so remainder = -265.\n</reasoning>\nFinal Answer: -265"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40900 at 10% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40900 × 10 × 8 / 100 = 32720.0.\n</reasoning>\nFinal Answer: 32720.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -791 mod -594"
},
{
"role": "assistant",
"content": "<reasoning>\n-791 mod -594: -791 = -594 × 1 + -197, so remainder = -197.\n</reasoning>\nFinal Answer: -197"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -41 = -447"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 14x = -406. Divide by 14: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -407 - -347"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -347 from -407: -407 - -347 = -60.\n</reasoning>\nFinal Answer: -60"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 159 and 145."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(159,145) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 7 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+7) × 27 = 391.5.\n</reasoning>\nFinal Answer: 391.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 + 18/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/17 + 18/11. Common denominator = 187. Result = 339/187.\n</reasoning>\nFinal Answer: 339/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 53 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 53 × 38 = 2014.\n</reasoning>\nFinal Answer: 2014"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 47 * 5 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×5=235, then 3+235-38=200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -595 mod -926"
},
{
"role": "assistant",
"content": "<reasoning>\n-595 mod -926: -595 = -926 × 0 + -595, so remainder = -595.\n</reasoning>\nFinal Answer: -595"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 6, 8, 11, 12] and B = [1, 12, 13, 15, 16, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 6, 8, 11, 12, 13, 15, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 3,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 8, 9, 10, 12, 17, 18] and B = [3, 10, 13, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 6, 7, 8, 9, 10, 12, 13, 15, 17, 18].\n</reasoning>\nFinal Answer: [3, 6, 7, 8... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 183 ÷ 423"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 183 by 423. 183 ÷ 423 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 367 + 153"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 367 and 153: 367 + 153 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:19 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/19, so B = A × (19/11) = 39 × 19/11 = 67.3636.\n</reasoning>\nFinal Answer: 67.3636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 305 × -787"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 305 by -787: 305 × -787 = -240035.\n</reasoning>\nFinal Answer: -240035"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 754 × -85"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 754 by -85: 754 × -85 = -64090.\n</reasoning>\nFinal Answer: -64090"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 28 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 28 = 196 worker-days. New time = 196 / 8 = 24.5 days.\n</reasoning>\nFinal Answer: 24.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 191 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(191,42) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "402 is what percentage of 455?"
},
{
"role": "assistant",
"content": "<reasoning>\n(402/455) × 100 = 88.3516%.\n</reasoning>\nFinal Answer: 88.3516%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -5 = -338"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 9x = -333. Divide by 9: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 25 = -111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 17x = -136. Divide by 17: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 370 mod -967"
},
{
"role": "assistant",
"content": "<reasoning>\n370 mod -967: 370 = -967 × -1 + -597, so remainder = -597.\n</reasoning>\nFinal Answer: -597"
}
] | medium | [
"arithmetic",
"computation"
] |
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