messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 25:28 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/28, so B = A × (28/25) = 34 × 28/25 = 38.08.\n</reasoning>\nFinal Answer: 38.08"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 11 apples and buys 39 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 11 + 39 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 26, 58, 54, 47, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 225/6 = 37.5.\n</reasoning>\nFinal Answer: 37.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 8 * 17 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×17=136, then 18+136-26=128.\n</reasoning>\nFinal Answer: 128"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 727 + -435"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 727 and -435: 727 + -435 = 292.\n</reasoning>\nFinal Answer: 292"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 38 * 49 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×49=1862, then 30+1862-19=1873.\n</reasoning>\nFinal Answer: 1873"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 872 × -260"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 872 by -260: 872 × -260 = -226720.\n</reasoning>\nFinal Answer: -226720"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 + 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/6 + 1/16. Common denominator = 16. Result = 49/16.\n</reasoning>\nFinal Answer: 49/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [63, 71, 54, 33, 97, 42, 98, 90, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 33 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 169 + -375"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 169 and -375: 169 + -375 = -206.\n</reasoning>\nFinal Answer: -206"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -17 = 283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 20x = 300. Divide by 20: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 35 + 23 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×35=280 and 23×24=552, then add: 832.\n</reasoning>\nFinal Answer: 832"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 75% of 752?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 752 = (75/100) × 752 = 564.0.\n</reasoning>\nFinal Answer: 564.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 294 + 206"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 294 and 206: 294 + 206 = 500.\n</reasoning>\nFinal Answer: 500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -374 × -440"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -374 by -440: -374 × -440 = 164560.\n</reasoning>\nFinal Answer: 164560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 729 × -833"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 729 by -833: 729 × -833 = -607257.\n</reasoning>\nFinal Answer: -607257"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -35 = -343"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 14x = -308. Divide by 14: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [8, 72, 29, 39, 100, 93, 91, 46, 94, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 29, 29, 39, 46, 72, 91, 93, 94, 100]. Middle value(s) → median = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 80% of 367?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 367 = (80/100) × 367 = 293.6.\n</reasoning>\nFinal Answer: 293.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 3, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (37-1)×3 = 8 + 108 = 116.\n</reasoning>\nFinal Answer: 116"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [12, 77, 81, 16, 81, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 314/6 = 52.3333.\n</reasoning>\nFinal Answer: 52.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -192 - -28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from -192: -192 - -28 = -164.\n</reasoning>\nFinal Answer: -164"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 10, 11, 13, 14, 15] and B = [5, 12, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 5, 6, 10, 11, 12, 13, 14, 15, 16, 17].\n</reaso... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 716 mod 226"
},
{
"role": "assistant",
"content": "<reasoning>\n716 mod 226: 716 = 226 × 3 + 38, so remainder = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 57 - -870"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -870 from 57: 57 - -870 = 927.\n</reasoning>\nFinal Answer: 927"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 309."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 309 by smallest primes repeatedly: 309 = 3 × 103.\n</reasoning>\nFinal Answer: 3 × 103"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Ravi has 99 apples and buys 35 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 99 + 35 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:34 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/34, so B = A × (34/45) = 11 × 34/45 = 8.3111.\n</reasoning>\nFinal Answer: 8.3111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 / 18/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/7) ÷ (18/8) = (10/7) × (8/18) = 40/63.\n</reasoning>\nFinal Answer: 40/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 26 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 16+676-15=677.\n</reasoning>\nFinal Answer: 677"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -744 - 772"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 772 from -744: -744 - 772 = -1516.\n</reasoning>\nFinal Answer: -1516"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/13 / 18/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/13) ÷ (18/19) = (16/13) × (19/18) = 152/117.\n</reasoning>\nFinal Answer: 152/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 44 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 50+1936-42=1944.\n</reasoning>\nFinal Answer: 1944"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 20 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+20) × 11 = 247.5.\n</reasoning>\nFinal Answer: 247.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:37 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/37, so B = A × (37/12) = 56 × 37/12 = 172.6667.\n</reasoning>\nFinal Answer: 172.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 29 + 5 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×29=754 and 5×39=195, then add: 949.\n</reasoning>\nFinal Answer: 949"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 41 apples and buys 169 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 41 + 169 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:33 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/33, so B = A × (33/21) = 41 × 33/21 = 64.4286.\n</reasoning>\nFinal Answer: 64.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -287 + 837"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -287 and 837: -287 + 837 = 550.\n</reasoning>\nFinal Answer: 550"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4520 at 16% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4520 × 16 × 4 / 100 = 2892.8.\n</reasoning>\nFinal Answer: 2892.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38631 at 3% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38631 × 3 × 6 / 100 = 6953.58.\n</reasoning>\nFinal Answer: 6953.58"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 86?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 86 = (45/100) × 86 = 38.7.\n</reasoning>\nFinal Answer: 38.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 2) * (6 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+2)=19, (6-42)=-36, then 19×-36=-684.\n</reasoning>\nFinal Answer: -684"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -8 = -593"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 15x = -585. Divide by 15: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -181 + -816"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -181 and -816: -181 + -816 = -997.\n</reasoning>\nFinal Answer: -997"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 36 = 205"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 13x = 169. Divide by 13: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 - 5/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/20 - 5/19. LCD = 76. Result = 37/76.\n</reasoning>\nFinal Answer: 37/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 10 = 7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 1x = -3. Divide by 1: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 42) * (39 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+42)=85, (39-40)=-1, then 85×-1=-85.\n</reasoning>\nFinal Answer: -85"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 414 ÷ 695"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 414 by 695. 414 ÷ 695 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 15, and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 15 + 18 = 41.\n</reasoning>\nFinal Answer: 41"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 80 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 80 × 31 = 2480.\n</reasoning>\nFinal Answer: 2480"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 90% of 222?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 222 = (90/100) × 222 = 199.8.\n</reasoning>\nFinal Answer: 199.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [56, 48, 87, 49, 90, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {56: 1, 48: 1, 87: 1, 49: 1, 90: 1, 15: 1}. Most frequent: [56, 48, 87, 49, 90, 15].\n</reasoning>\nFinal Answer: [56, 48, 87, 49, 90, 15]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 11/17 + 14/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/17 + 14/3. Common denominator = 51. Result = 271/51.\n</reasoning>\nFinal Answer: 271/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [65, 79, 70, 45, 75, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 352/6 = 58.6667.\n</reasoning>\nFinal Answer: 58.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 892 - 762"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 762 from 892: 892 - 762 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 146 + 495"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 146 and 495: 146 + 495 = 641.\n</reasoning>\nFinal Answer: 641"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 13, 38, 90, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 22, 38, 82, 90]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 14/14 * 17/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/14) × (17/8) = (238/112) = 17/8 after simplification.\n</reasoning>\nFinal Answer: 17/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -805 × 439"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -805 by 439: -805 × 439 = -353395.\n</reasoning>\nFinal Answer: -353395"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 488 km apart. Their speeds are 88 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+66=154 km/h. Time = 488/154 = 3.1688 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/7 * 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/7) × (12/12) = (180/84) = 15/7 after simplification.\n</reasoning>\nFinal Answer: 15/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/7 + 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/7 + 5/1. Common denominator = 7. Result = 40/7.\n</reasoning>\nFinal Answer: 40/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -38 = -168"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 5x = -130. Divide by 5: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:49 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/49, so B = A × (49/11) = 73 × 49/11 = 325.1818.\n</reasoning>\nFinal Answer: 325.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 13/2 / 16/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/2) ÷ (16/9) = (13/2) × (9/16) = 117/32.\n</reasoning>\nFinal Answer: 117/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/14 / 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/14) ÷ (9/20) = (12/14) × (20/9) = 40/21.\n</reasoning>\nFinal Answer: 40/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 103 km/h. How far does it travel in 6 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 33/60 = 6.5500 hours. Distance = speed × time = 103 × 6.5500 = 674.65 km.\n</reasoning>\nFinal Answer: 674.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 853 - 131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 131 from 853: 853 - 131 = 722.\n</reasoning>\nFinal Answer: 722"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -97 mod 486"
},
{
"role": "assistant",
"content": "<reasoning>\n-97 mod 486: -97 = 486 × -1 + 389, so remainder = 389.\n</reasoning>\nFinal Answer: 389"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 178 apples and buys 76 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 178 + 76 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 86 km/h. How far does it travel in 12 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 31/60 = 12.5167 hours. Distance = speed × time = 86 × 12.5167 = 1076.4333 km.\n</reasoning>\nFinal Answer: 1076.4333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 347 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 347 × (1 - 25/100) = 347 × 0.75 = 260.25.\n</reasoning>\nFinal Answer: 260.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 292 + -317"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 292 and -317: 292 + -317 = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 4, 5, 7, 14, 15] and B = [2, 3, 6, 8, 11, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 5, 6, 7, 8, 11, 14, 15, 16, 17].\n<... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 594 + -45"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 594 and -45: 594 + -45 = 549.\n</reasoning>\nFinal Answer: 549"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -46 = -750"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 22x = -704. Divide by 22: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -145 mod -278"
},
{
"role": "assistant",
"content": "<reasoning>\n-145 mod -278: -145 = -278 × 0 + -145, so remainder = -145.\n</reasoning>\nFinal Answer: -145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 / 17/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/9) ÷ (17/15) = (12/9) × (15/17) = 20/17.\n</reasoning>\nFinal Answer: 20/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "16 is what percentage of 205?"
},
{
"role": "assistant",
"content": "<reasoning>\n(16/205) × 100 = 7.8049%.\n</reasoning>\nFinal Answer: 7.8049%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 84, 2, 99, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 84: 1, 2: 1, 99: 1, 31: 1}. Most frequent: [46, 84, 2, 99, 31].\n</reasoning>\nFinal Answer: [46, 84, 2, 99, 31]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 9 = 284"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 25x = 275. Divide by 25: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 969 ÷ 216"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 969 by 216. 969 ÷ 216 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 14 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+14) × 24 = 552.0.\n</reasoning>\nFinal Answer: 552.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 11/1 * 11/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/1) × (11/11) = (121/11) = 11 after simplification.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 105 apples and buys 81 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 105 + 81 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 231 × 250"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 231 by 250: 231 × 250 = 57750.\n</reasoning>\nFinal Answer: 57750"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 8 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 18+64-3=79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11454 at 18% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11454 × 18 × 4 / 100 = 8246.88.\n</reasoning>\nFinal Answer: 8246.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/6 * 8/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/6) × (8/10) = (160/60) = 8/3 after simplification.\n</reasoning>\nFinal Answer: 8/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -4 = -694"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 30x = -690. Divide by 30: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3830. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3830 × 28/100 = 1072.4. Total = 3830 + 1072.4 = 4902.4.\n</reasoning>\nFinal Answer: 4902.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -546 + 428"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -546 and 428: -546 + 428 = -118.\n</reasoning>\nFinal Answer: -118"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -554 ÷ 250"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -554 by 250. -554 ÷ 250 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 17 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (17×35)/1 = 595.\n</reasoning>\nFinal Answer: 595"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -35 = -679"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 28x = -644. Divide by 28: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 102 and 84."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(102,84) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "10 is what percentage of 230?"
},
{
"role": "assistant",
"content": "<reasoning>\n(10/230) × 100 = 4.3478%.\n</reasoning>\nFinal Answer: 4.3478%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 67 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 67 × 65 = 4355.\n</reasoning>\nFinal Answer: 4355"
}
] | easy | [
"geometry",
"area"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.