messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a triangle with base 85 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 85 × 79 = 3357.5.\n</reasoning>\nFinal Answer: 3357.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [96, 13, 12, 51, 49, 88, 23, 60, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {96: 1, 13: 1, 12: 1, 51: 1, 49: 1, 88: 1, 23: 1, 60: 1, 70: 1}. Most frequent: [96, 13, 12, 51, 49, 88, 23, 60, 70].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 18 = 1068"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 30x = 1050. Divide by 30: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 462 ÷ 485"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 462 by 485. 462 ÷ 485 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 596 ÷ -712"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 596 by -712. 596 ÷ -712 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 54 = 1917.0.\n</reasoning>\nFinal Answer: 1917.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 830 - -855"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -855 from 830: 830 - -855 = 1685.\n</reasoning>\nFinal Answer: 1685"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -354 × -328"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -354 by -328: -354 × -328 = 116112.\n</reasoning>\nFinal Answer: 116112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 - 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/20 - 7/16. LCD = 80. Result = 1/80.\n</reasoning>\nFinal Answer: 1/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 318 × 328"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 318 by 328: 318 × 328 = 104304.\n</reasoning>\nFinal Answer: 104304"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:39 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/39, so B = A × (39/26) = 11 × 39/26 = 16.5.\n</reasoning>\nFinal Answer: 16.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -7 = 51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 2x = 58. Divide by 2: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 9, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (16-1)×9 = 6 + 135 = 141.\n</reasoning>\nFinal Answer: 141"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 967 km apart. Their speeds are 97 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 97+41=138 km/h. Time = 967/138 = 7.0072 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 5 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 5 = 30 worker-days. New time = 30 / 5 = 6.0 days.\n</reasoning>\nFinal Answer: 6.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 43 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 25+1849-8=1866.\n</reasoning>\nFinal Answer: 1866"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [11, 62, 79, 75, 40, 46, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {11: 1, 62: 1, 79: 1, 75: 1, 40: 1, 46: 1, 35: 1}. Most frequent: [11, 62, 79, 75, 40, 46, 35].\n</reasoning>\nFinal Answer: [11, 62, 79, 75, 40, 46... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18228 at 2% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18228 × 2 × 10 / 100 = 3645.6.\n</reasoning>\nFinal Answer: 3645.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -601 mod -541"
},
{
"role": "assistant",
"content": "<reasoning>\n-601 mod -541: -601 = -541 × 1 + -60, so remainder = -60.\n</reasoning>\nFinal Answer: -60"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -1 = 699"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 20x = 700. Divide by 20: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 17 = 38"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 3x = 21. Divide by 3: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 35 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 35 × 31 = 1085.\n</reasoning>\nFinal Answer: 1085"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 200."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 200 by smallest primes repeatedly: 200 = 2 × 2 × 2 × 5 × 5.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 5 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 1, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (22-1)×1 = 2 + 21 = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×24)/1 = 840.\n</reasoning>\nFinal Answer: 840"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 837 km apart. Their speeds are 79 km/h and 75 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+75=154 km/h. Time = 837/154 = 5.4351 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 7, 8, 9, 10, 11, 13] and B = [3, 7, 8, 9, 10, 13, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7, 8, 9, 10, 13].\n</reasoning>\nFinal Answer: [7, 8, 9, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 422."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 422 by smallest primes repeatedly: 422 = 2 × 211.\n</reasoning>\nFinal Answer: 2 × 211"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 3 and width 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 3 × 22 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/10 + 19/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/10 + 19/12. Common denominator = 60. Result = 131/60.\n</reasoning>\nFinal Answer: 131/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [50, 87, 34, 94, 88, 23, 72, 62, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 551/9 = 61.2222.\n</reasoning>\nFinal Answer: 61.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1326 at 20% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1326 × 20 × 3 / 100 = 795.6.\n</reasoning>\nFinal Answer: 795.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:7 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/7, so B = A × (7/7) = 74 × 7/7 = 74.0.\n</reasoning>\nFinal Answer: 74.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42575 at 11% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42575 × 11 × 5 / 100 = 23416.25.\n</reasoning>\nFinal Answer: 23416.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 9, 14, 16] and B = [2, 3, 4, 5, 7, 9, 10, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9].\n</reasoning>\nFinal Answer: [9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [67, 42, 84, 12, 28, 13, 62, 22, 60, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 13, 22, 28, 42, 42, 60, 62, 67, 84]. Middle value(s) → median = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 462 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 462 × (1 + 25/100) = 462 × 1.25 = 577.5.\n</reasoning>\nFinal Answer: 577.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 55, 21, 24, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 21, 23, 24, 55]. Middle value(s) → median = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×37)/1 = 1295.\n</reasoning>\nFinal Answer: 1295"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 9. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 9² = π × 81 ≈ 254.469.\n</reasoning>\nFinal Answer: 254.469"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 49 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 44+2401-43=2402.\n</reasoning>\nFinal Answer: 2402"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 157 × -995"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 157 by -995: 157 × -995 = -156215.\n</reasoning>\nFinal Answer: -156215"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 47 mod 541"
},
{
"role": "assistant",
"content": "<reasoning>\n47 mod 541: 47 = 541 × 0 + 47, so remainder = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [1, 95, 50, 31, 76, 24, 75, 33, 98, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 534/10 = 53.4.\n</reasoning>\nFinal Answer: 53.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 24 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+24) × 45 = 1462.5.\n</reasoning>\nFinal Answer: 1462.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 22 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 42+484-37=489.\n</reasoning>\nFinal Answer: 489"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 922 + -408"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 922 and -408: 922 + -408 = 514.\n</reasoning>\nFinal Answer: 514"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:35 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/35, so B = A × (35/11) = 64 × 35/11 = 203.6364.\n</reasoning>\nFinal Answer: 203.6364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 20, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (43-1)×20 = 46 + 840 = 886.\n</reasoning>\nFinal Answer: 886"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 37 = 507"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 10x = 470. Divide by 10: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -421 - 280"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 280 from -421: -421 - 280 = -701.\n</reasoning>\nFinal Answer: -701"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [76, 25, 89, 72, 85, 63, 5, 61, 57, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 25, 57, 61, 63, 64, 72, 76, 85, 89]. Middle value(s) → median = 63.5.\n</reasoning>\nFinal Answer: 63.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 95 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(95,26) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 57, 28, 31, 71, 77, 97, 90, 89, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 57: 1, 28: 1, 31: 1, 71: 1, 77: 1, 97: 1, 90: 1, 89: 1, 54: 1}. Most frequent: [94, 57, 28, 31, 71, 77, 97, 90, 89, 54].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 10 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 1/60 = 10.0167 hours. Distance = speed × time = 95 × 10.0167 = 951.5833 km.\n</reasoning>\nFinal Answer: 951.5833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 46 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 29+2116-5=2140.\n</reasoning>\nFinal Answer: 2140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:45 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/45, so B = A × (45/31) = 37 × 45/31 = 53.7097.\n</reasoning>\nFinal Answer: 53.7097"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 20 + 50 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×20=140 and 50×8=400, then add: 540.\n</reasoning>\nFinal Answer: 540"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [96, 65, 4, 80, 37, 12, 83, 5, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 5, 12, 29, 37, 65, 80, 83, 96]. Middle value(s) → median = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 7 = -214"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 13x = -221. Divide by 13: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 637 ÷ 548"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 637 by 548. 637 ÷ 548 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 63 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 63 × 62 = 3906.\n</reasoning>\nFinal Answer: 3906"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 19, 37, 22, 66, 34, 60, 18, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 18, 19, 22, 34, 37, 60, 66, 94]. Middle value(s) → median = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 838 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 838 × (1 + 30/100) = 838 × 1.3 = 1089.4.\n</reasoning>\nFinal Answer: 1089.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 36 = -134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 5x = -170. Divide by 5: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 45 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 24+2025-4=2045.\n</reasoning>\nFinal Answer: 2045"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (18)x + (-48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 18² - 4×3×-48 = 900. √discriminant = 30. x = (-(18) ± 30) / (2×3). Solutions: x = 2 or x = -8.\n</reasoning>\nFinal Answer: x = 2 or x = -8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 60% of 222?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 222 = (60/100) × 222 = 133.2.\n</reasoning>\nFinal Answer: 133.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -895 × -585"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -895 by -585: -895 × -585 = 523575.\n</reasoning>\nFinal Answer: 523575"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 10, 12, 19] and B = [5, 13, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 5, 9, 10, 12, 13, 15, 18, 19].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 830 + -829"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 830 and -829: 830 + -829 = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "279 is what percentage of 643?"
},
{
"role": "assistant",
"content": "<reasoning>\n(279/643) × 100 = 43.3904%.\n</reasoning>\nFinal Answer: 43.3904%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 13 * 3 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×3=39, then 45+39-41=43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 / 7/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/19) ÷ (7/15) = (6/19) × (15/7) = 90/133.\n</reasoning>\nFinal Answer: 90/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/3 * 18/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/3) × (18/10) = (288/30) = 48/5 after simplification.\n</reasoning>\nFinal Answer: 48/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 45 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+45) × 1 = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 47 + 6 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×47=1128 and 6×8=48, then add: 1176.\n</reasoning>\nFinal Answer: 1176"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 94 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 94 × 99 = 9306.\n</reasoning>\nFinal Answer: 9306"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6, 7, 14] and B = [1, 11, 12, 13, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4, 6, 7, 14].\n</reasoning>\nFinal Answer: [2, 4, 6, 7, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 75 apples and buys 171 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 75 + 171 = 246.\n</reasoning>\nFinal Answer: 246"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:37 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/37, so B = A × (37/14) = 88 × 37/14 = 232.5714.\n</reasoning>\nFinal Answer: 232.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -903 - 229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 229 from -903: -903 - 229 = -1132.\n</reasoning>\nFinal Answer: -1132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [15, 57, 61, 69, 20, 20, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 20, 20, 40, 57, 61, 69]. Middle value(s) → median = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -843 ÷ 769"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -843 by 769. -843 ÷ 769 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 12 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 10+144-18=136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 858 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 858 × (1 - 35/100) = 858 × 0.65 = 557.7.\n</reasoning>\nFinal Answer: 557.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 40 = 427"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 9x = 387. Divide by 9: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/17 - 19/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/17 - 19/7. LCD = 7. Result = -12/7.\n</reasoning>\nFinal Answer: -12/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -393 mod 544"
},
{
"role": "assistant",
"content": "<reasoning>\n-393 mod 544: -393 = 544 × -1 + 151, so remainder = 151.\n</reasoning>\nFinal Answer: 151"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 9, 12, 14, 15, 17] and B = [1, 3, 7, 12, 16, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 9, 14, 15, 17].\n</reasoning>\nFinal Answer: [2, 9, 14, 15, 17]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 10, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (50-1)×10 = 37 + 490 = 527.\n</reasoning>\nFinal Answer: 527"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 90 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 90 × 39 = 3510.\n</reasoning>\nFinal Answer: 3510"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 78, 67, 58, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 58 = 20.\n</reasoning>\nFinal Answer: 20"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 3/19 + 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/19 + 10/20. Common denominator = 38. Result = 25/38.\n</reasoning>\nFinal Answer: 25/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 11 = 37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 26x = 26. Divide by 26: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 16 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 16 × 91 = 728.0.\n</reasoning>\nFinal Answer: 728.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [24, 31, 38, 45, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 24 and common difference 7. Next term = 52 + 7 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -731 mod 92"
},
{
"role": "assistant",
"content": "<reasoning>\n-731 mod 92: -731 = 92 × -8 + 5, so remainder = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -302 + 478"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -302 and 478: -302 + 478 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [72, 13, 57, 8, 53, 98, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 8 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
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