messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 1:45 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/45, so B = A × (45/1) = 21 × 45/1 = 945.0.\n</reasoning>\nFinal Answer: 945.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 6/16 - 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/16 - 4/5. LCD = 40. Result = -17/40.\n</reasoning>\nFinal Answer: -17/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [87, 3, 60, 15, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 15, 50, 60, 87]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 151 ÷ 8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 151 by 8. 151 ÷ 8 = 18 (integer division).\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:45 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/45, so B = A × (45/36) = 26 × 45/36 = 32.5.\n</reasoning>\nFinal Answer: 32.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:17 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/17, so B = A × (17/44) = 43 × 17/44 = 16.6136.\n</reasoning>\nFinal Answer: 16.6136"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 84 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 84 × (1 + 35/100) = 84 × 1.35 = 113.4.\n</reasoning>\nFinal Answer: 113.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/19 + 4/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/19 + 4/2. Common denominator = 19. Result = 52/19.\n</reasoning>\nFinal Answer: 52/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 35 = -40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 15x = -75. Divide by 15: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/6 - 17/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/6 - 17/10. LCD = 30. Result = 19/30.\n</reasoning>\nFinal Answer: 19/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -1 = -783"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 17x = -782. Divide by 17: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 43 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 43 × 30 = 1290.\n</reasoning>\nFinal Answer: 1290"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -722 mod 108"
},
{
"role": "assistant",
"content": "<reasoning>\n-722 mod 108: -722 = 108 × -7 + 34, so remainder = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:2 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/2, so B = A × (2/19) = 2 × 2/19 = 0.2105.\n</reasoning>\nFinal Answer: 0.2105"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 249."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 249 by smallest primes repeatedly: 249 = 3 × 83.\n</reasoning>\nFinal Answer: 3 × 83"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Decrease 558 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 558 × (1 - 70/100) = 558 × 0.30000000000000004 = 167.4.\n</reasoning>\nFinal Answer: 167.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 247 ÷ -894"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 247 by -894. 247 ÷ -894 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 - 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/12 - 1/15. LCD = 60. Result = 91/60.\n</reasoning>\nFinal Answer: 91/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 943 × -221"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 943 by -221: 943 × -221 = -208403.\n</reasoning>\nFinal Answer: -208403"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -991 - -521"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -521 from -991: -991 - -521 = -470.\n</reasoning>\nFinal Answer: -470"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 23 + 47 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×23=874 and 47×50=2350, then add: 3224.\n</reasoning>\nFinal Answer: 3224"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 235 + 318"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 235 and 318: 235 + 318 = 553.\n</reasoning>\nFinal Answer: 553"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 85 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 85 × 88 = 7480.\n</reasoning>\nFinal Answer: 7480"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -649 - 336"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 336 from -649: -649 - 336 = -985.\n</reasoning>\nFinal Answer: -985"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -34 = -934"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 25x = -900. Divide by 25: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:17 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/17, so B = A × (17/26) = 10 × 17/26 = 6.5385.\n</reasoning>\nFinal Answer: 6.5385"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 64 = 3712.\n</reasoning>\nFinal Answer: 3712"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 26 = 80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 18x = 54. Divide by 18: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 866 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 866 × (1 + 100/100) = 866 × 2.0 = 1732.0.\n</reasoning>\nFinal Answer: 1732.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 7, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (29-1)×7 = 28 + 196 = 224.\n</reasoning>\nFinal Answer: 224"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 5/11 * 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/11) × (16/17) = (80/187) = 80/187 after simplification.\n</reasoning>\nFinal Answer: 80/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/13 * 12/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/13) × (12/8) = (192/104) = 24/13 after simplification.\n</reasoning>\nFinal Answer: 24/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 280 mod -557"
},
{
"role": "assistant",
"content": "<reasoning>\n280 mod -557: 280 = -557 × -1 + -277, so remainder = -277.\n</reasoning>\nFinal Answer: -277"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 924 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 924 × (1 - 15/100) = 924 × 0.85 = 785.4.\n</reasoning>\nFinal Answer: 785.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×11)/1 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 50, 51, 2, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 2 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [56, 51, 41, 65, 88, 60, 76, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 41, 51, 56, 60, 65, 76, 88]. Middle value(s) → median = 58.0.\n</reasoning>\nFinal Answer: 58.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -664 ÷ 11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -664 by 11. -664 ÷ 11 = -61 (integer division).\n</reasoning>\nFinal Answer: -61"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 815 ÷ 123"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 815 by 123. 815 ÷ 123 = 6 (integer division).\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 149 km/h. How far does it travel in 1 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 43/60 = 1.7167 hours. Distance = speed × time = 149 × 1.7167 = 255.7833 km.\n</reasoning>\nFinal Answer: 255.7833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 80 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 80 × 86 = 3440.0.\n</reasoning>\nFinal Answer: 3440.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 802 - 211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 211 from 802: 802 - 211 = 591.\n</reasoning>\nFinal Answer: 591"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 81, 51, 41, 77, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 41 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 22 + 16 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×22=880 and 16×41=656, then add: 1536.\n</reasoning>\nFinal Answer: 1536"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 567 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 567 × (1 + 15/100) = 567 × 1.15 = 652.05.\n</reasoning>\nFinal Answer: 652.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -516 ÷ -637"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -516 by -637. -516 ÷ -637 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 573 - 935"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 935 from 573: 573 - 935 = -362.\n</reasoning>\nFinal Answer: -362"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 9, 12, 13, 14, 16] and B = [1, 3, 6, 7, 9, 13, 14, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 9, 13, 14].\n</reasoning>\nFinal Answer: [6, 9, 13, 14... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -618 mod 565"
},
{
"role": "assistant",
"content": "<reasoning>\n-618 mod 565: -618 = 565 × -2 + 512, so remainder = 512.\n</reasoning>\nFinal Answer: 512"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:44 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/44, so B = A × (44/2) = 53 × 44/2 = 1166.0.\n</reasoning>\nFinal Answer: 1166.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 489 + -251"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 489 and -251: 489 + -251 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:9 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/9, so B = A × (9/9) = 77 × 9/9 = 77.0.\n</reasoning>\nFinal Answer: 77.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 37 = 433"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 18x = 396. Divide by 18: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 10 = 43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 3x = 33. Divide by 3: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 5, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (14-1)×5 = 27 + 65 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 521 - -42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from 521: 521 - -42 = 563.\n</reasoning>\nFinal Answer: 563"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [68, 56, 98, 78, 61, 25, 82, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {68: 1, 56: 1, 98: 1, 78: 1, 61: 1, 25: 1, 82: 1, 75: 1}. Most frequent: [68, 56, 98, 78, 61, 25, 82, 75].\n</reasoning>\nFinal Answer: [68, 56,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 11 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 11 = 187 worker-days. New time = 187 / 9 = 20.7778 days.\n</reasoning>\nFinal Answer: 20.7778"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 984 km apart. Their speeds are 42 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 42+101=143 km/h. Time = 984/143 = 6.8811 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -25 = -9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 2x = 16. Divide by 2: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 57 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 57 × 61 = 1738.5.\n</reasoning>\nFinal Answer: 1738.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 46 = 550"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 18x = 504. Divide by 18: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 37, 92, 40, 69, 70, 93, 36, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 486/9 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 12, 17] and B = [2, 4, 14, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2].\n</reasoning>\nFinal Answer: [2]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -33 = -513"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 12x = -480. Divide by 12: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 41 = -394"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 29x = -435. Divide by 29: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -271 ÷ 164"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -271 by 164. -271 ÷ 164 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 165 apples and buys 176 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 165 + 176 = 341.\n</reasoning>\nFinal Answer: 341"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -32 = 332"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 26x = 364. Divide by 26: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 27 * 44 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×44=1188, then 45+1188-37=1196.\n</reasoning>\nFinal Answer: 1196"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -361 - -153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -153 from -361: -361 - -153 = -208.\n</reasoning>\nFinal Answer: -208"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 778 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 778 × (1 + 12/100) = 778 × 1.12 = 871.36.\n</reasoning>\nFinal Answer: 871.36"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 27 = 384"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 17x = 357. Divide by 17: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 93 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 93 × 100 = 4650.0.\n</reasoning>\nFinal Answer: 4650.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 14) * (1 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+14)=41, (1-46)=-45, then 41×-45=-1845.\n</reasoning>\nFinal Answer: -1845"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/2 + 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/2 + 18/15. Common denominator = 10. Result = 17/10.\n</reasoning>\nFinal Answer: 17/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:3 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/3, so B = A × (3/2) = 44 × 3/2 = 66.0.\n</reasoning>\nFinal Answer: 66.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21089 at 8% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21089 × 8 × 4 / 100 = 6748.48.\n</reasoning>\nFinal Answer: 6748.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -6 = 994"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 25x = 1000. Divide by 25: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 14 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+14) × 32 = 464.0.\n</reasoning>\nFinal Answer: 464.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 18 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 18 = 180 worker-days. New time = 180 / 4 = 45.0 days.\n</reasoning>\nFinal Answer: 45.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 671 ÷ 660"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 671 by 660. 671 ÷ 660 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 12) * (27 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+12)=15, (27-17)=10, then 15×10=150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 494 × 345"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 494 by 345: 494 × 345 = 170430.\n</reasoning>\nFinal Answer: 170430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 39, 96, 93, 94, 86, 12, 41, 30, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 39: 1, 96: 1, 93: 1, 94: 1, 86: 1, 12: 1, 41: 1, 30: 1, 46: 1}. Most frequent: [6, 39, 96, 93, 94, 86, 12, 41, 30, 46].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 41 * 27 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×27=1107, then 20+1107-33=1094.\n</reasoning>\nFinal Answer: 1094"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/17 * 2/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/17) × (2/3) = (4/51) = 4/51 after simplification.\n</reasoning>\nFinal Answer: 4/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [90, 4, 48, 7, 14, 73, 63, 19, 30, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {90: 1, 4: 1, 48: 1, 7: 1, 14: 1, 73: 1, 63: 1, 19: 1, 30: 1, 50: 1}. Most frequent: [90, 4, 48, 7, 14, 73, 63, 19, 30, 50].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 861 × 993"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 861 by 993: 861 × 993 = 854973.\n</reasoning>\nFinal Answer: 854973"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 164 ÷ 172"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 164 by 172. 164 ÷ 172 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 929?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 929 = (7/100) × 929 = 65.03.\n</reasoning>\nFinal Answer: 65.03"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 42 = -365"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 11x = -407. Divide by 11: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 19, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (50-1)×19 = 25 + 931 = 956.\n</reasoning>\nFinal Answer: 956"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -116 mod -513"
},
{
"role": "assistant",
"content": "<reasoning>\n-116 mod -513: -116 = -513 × 0 + -116, so remainder = -116.\n</reasoning>\nFinal Answer: -116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 141 ÷ 562"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 141 by 562. 141 ÷ 562 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 110 km/h. How far does it travel in 11 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 6/60 = 11.1000 hours. Distance = speed × time = 110 × 11.1000 = 1221.0 km.\n</reasoning>\nFinal Answer: 1221.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 33 * 38 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×38=1254, then 16+1254-4=1266.\n</reasoning>\nFinal Answer: 1266"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 27, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 27 + 28 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 182 apples and buys 124 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 182 + 124 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "89 is what percentage of 133?"
},
{
"role": "assistant",
"content": "<reasoning>\n(89/133) × 100 = 66.9173%.\n</reasoning>\nFinal Answer: 66.9173%"
}
] | medium | [
"percentage",
"ratio"
] |
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