messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 18x + 50 = 320"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 18x = 270. Divide by 18: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -23 = -1157"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 27x = -1134. Divide by 27: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -696 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from -696: -696 - 46 = -742.\n</reasoning>\nFinal Answer: -742"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [24, 7, 81, 53, 42, 67, 52, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 7 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 / 11/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/14) ÷ (11/12) = (15/14) × (12/11) = 90/77.\n</reasoning>\nFinal Answer: 90/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 92 km/h. How far does it travel in 9 hours and 57 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 57/60 = 9.9500 hours. Distance = speed × time = 92 × 9.9500 = 915.4 km.\n</reasoning>\nFinal Answer: 915.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 6 + 18 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×6=132 and 18×27=486, then add: 618.\n</reasoning>\nFinal Answer: 618"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 880 ÷ -834"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 880 by -834. 880 ÷ -834 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 34 apples and buys 128 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 34 + 128 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/3 - 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/3 - 14/5. LCD = 5. Result = 1/5.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -118 mod -784"
},
{
"role": "assistant",
"content": "<reasoning>\n-118 mod -784: -118 = -784 × 0 + -118, so remainder = -118.\n</reasoning>\nFinal Answer: -118"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/6 + 7/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/6 + 7/6. Common denominator = 6. Result = 7/2.\n</reasoning>\nFinal Answer: 7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 3 = 399"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 12x = 396. Divide by 12: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/8 - 5/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/8 - 5/16. LCD = 16. Result = 9/16.\n</reasoning>\nFinal Answer: 9/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 26 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(26+95) = 2×121 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 50 = -118"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 4x = -168. Divide by 4: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 474 + -987"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 474 and -987: 474 + -987 = -513.\n</reasoning>\nFinal Answer: -513"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 80 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 80 × 98 = 7840.\n</reasoning>\nFinal Answer: 7840"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 579 + 408"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 579 and 408: 579 + 408 = 987.\n</reasoning>\nFinal Answer: 987"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 / 17/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/15) ÷ (17/9) = (8/15) × (9/17) = 24/85.\n</reasoning>\nFinal Answer: 24/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [9, 36, 46, 42, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 36, 42, 46, 61]. Middle value(s) → median = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:22 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/22, so B = A × (22/25) = 60 × 22/25 = 52.8.\n</reasoning>\nFinal Answer: 52.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 67 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 67 × 68 = 4556.\n</reasoning>\nFinal Answer: 4556"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 4/18 + 6/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/18 + 6/10. Common denominator = 45. Result = 37/45.\n</reasoning>\nFinal Answer: 37/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹155. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 155 × 5/100 = 7.75. Total = 155 + 7.75 = 162.75.\n</reasoning>\nFinal Answer: 162.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -3 = -155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 19x = -152. Divide by 19: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 389 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 389 × (1 - 40/100) = 389 × 0.6 = 233.4.\n</reasoning>\nFinal Answer: 233.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -589 - -318"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -318 from -589: -589 - -318 = -271.\n</reasoning>\nFinal Answer: -271"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 27) * (27 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+27)=48, (27-28)=-1, then 48×-1=-48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -654 ÷ 833"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -654 by 833. -654 ÷ 833 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/20 / 10/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/20) ÷ (10/16) = (12/20) × (16/10) = 24/25.\n</reasoning>\nFinal Answer: 24/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/2 / 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/2) ÷ (11/5) = (3/2) × (5/11) = 15/22.\n</reasoning>\nFinal Answer: 15/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "91 is what percentage of 886?"
},
{
"role": "assistant",
"content": "<reasoning>\n(91/886) × 100 = 10.2709%.\n</reasoning>\nFinal Answer: 10.2709%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 22, 66, 95, 65, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 22, 26, 65, 66, 95]. Middle value(s) → median = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 230 ÷ -463"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 230 by -463. 230 ÷ -463 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/3 - 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/3 - 20/14. LCD = 21. Result = 103/21.\n</reasoning>\nFinal Answer: 103/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 841 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 841 × (1 - 50/100) = 841 × 0.5 = 420.5.\n</reasoning>\nFinal Answer: 420.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 94, 99, 50, 46, 28, 97, 99, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 1, 94: 1, 99: 2, 50: 1, 46: 1, 28: 1, 97: 1, 63: 1}. Most frequent: 99.\n</reasoning>\nFinal Answer: 99"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 7, 8, 9, 13, 14, 19] and B = [5, 7, 11, 13, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 5, 8, 9, 11, 14, 15].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 30) * (9 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+30)=54, (9-15)=-6, then 54×-6=-324.\n</reasoning>\nFinal Answer: -324"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 - 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/8 - 1/7. LCD = 28. Result = 59/28.\n</reasoning>\nFinal Answer: 59/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 43 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 19+1849-42=1826.\n</reasoning>\nFinal Answer: 1826"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 20, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (31-1)×20 = 16 + 600 = 616.\n</reasoning>\nFinal Answer: 616"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [89, 94, 14, 54, 12, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 14, 20, 54, 89, 94]. Middle value(s) → median = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹4365. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4365 × 18/100 = 785.7. Total = 4365 + 785.7 = 5150.7.\n</reasoning>\nFinal Answer: 5150.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 44 = 1514"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 30x = 1470. Divide by 30: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:46 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/46, so B = A × (46/1) = 27 × 46/1 = 1242.0.\n</reasoning>\nFinal Answer: 1242.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 164 + -616"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 164 and -616: 164 + -616 = -452.\n</reasoning>\nFinal Answer: -452"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 85, 63, 1, 9, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 1 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 30% of 367?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 367 = (30/100) × 367 = 110.1.\n</reasoning>\nFinal Answer: 110.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 120 km/h. How far does it travel in 5 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 2/60 = 5.0333 hours. Distance = speed × time = 120 × 5.0333 = 604.0 km.\n</reasoning>\nFinal Answer: 604.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 4) * (24 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+4)=20, (24-15)=9, then 20×9=180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 + 5/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/11 + 5/18. Common denominator = 198. Result = 163/198.\n</reasoning>\nFinal Answer: 163/198"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4522. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4522 × 28/100 = 1266.16. Total = 4522 + 1266.16 = 5788.16.\n</reasoning>\nFinal Answer: 5788.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Is 55 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n55 = 5 × 11, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×39)/3 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -9 = 129"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 6x = 138. Divide by 6: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/5 / 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/5) ÷ (20/20) = (12/5) × (20/20) = 12/5.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 31 + 48 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×31=775 and 48×46=2208, then add: 2983.\n</reasoning>\nFinal Answer: 2983"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 27 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 21+729-30=720.\n</reasoning>\nFinal Answer: 720"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/7 / 1/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/7) ÷ (1/11) = (13/7) × (11/1) = 143/7.\n</reasoning>\nFinal Answer: 143/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 26 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 26 × 21 = 546.\n</reasoning>\nFinal Answer: 546"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 220 × 907"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 220 by 907: 220 × 907 = 199540.\n</reasoning>\nFinal Answer: 199540"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 55 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 55 × (1 + 5/100) = 55 × 1.05 = 57.75.\n</reasoning>\nFinal Answer: 57.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 626 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 626 × (1 - 17/100) = 626 × 0.83 = 519.58.\n</reasoning>\nFinal Answer: 519.58"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 / 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/4) ÷ (3/15) = (8/4) × (15/3) = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -252 mod 937"
},
{
"role": "assistant",
"content": "<reasoning>\n-252 mod 937: -252 = 937 × -1 + 685, so remainder = 685.\n</reasoning>\nFinal Answer: 685"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 48) * (9 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+48)=49, (9-30)=-21, then 49×-21=-1029.\n</reasoning>\nFinal Answer: -1029"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "82 is what percentage of 388?"
},
{
"role": "assistant",
"content": "<reasoning>\n(82/388) × 100 = 21.134%.\n</reasoning>\nFinal Answer: 21.134%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 687 ÷ -635"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 687 by -635. 687 ÷ -635 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:12 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/12, so B = A × (12/38) = 91 × 12/38 = 28.7368.\n</reasoning>\nFinal Answer: 28.7368"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [25, 49, 71, 31, 21, 98, 39, 70, 93, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {25: 1, 49: 1, 71: 1, 31: 1, 21: 1, 98: 1, 39: 1, 70: 1, 93: 1, 63: 1}. Most frequent: [25, 49, 71, 31, 21, 98, 39, 70, 93, 63].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 27, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 27 + 38 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -48 = -706"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 14x = -658. Divide by 14: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 17 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 17 × 7 = 119.\n</reasoning>\nFinal Answer: 119"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -8 = -882"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 19x = -874. Divide by 19: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [27, 60, 59, 11, 43, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 11 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 172 apples and buys 14 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 172 + 14 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:33 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/33, so B = A × (33/36) = 20 × 33/36 = 18.3333.\n</reasoning>\nFinal Answer: 18.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 20 = -340"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 30x = -360. Divide by 30: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/10 / 12/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/10) ÷ (12/16) = (18/10) × (16/12) = 12/5.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 359 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 359 × (1 + 25/100) = 359 × 1.25 = 448.75.\n</reasoning>\nFinal Answer: 448.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -35 = 91"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 18x = 126. Divide by 18: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 574 km apart. Their speeds are 76 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+63=139 km/h. Time = 574/139 = 4.1295 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -970 + -532"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -970 and -532: -970 + -532 = -1502.\n</reasoning>\nFinal Answer: -1502"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:5 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/5, so B = A × (5/50) = 34 × 5/50 = 3.4.\n</reasoning>\nFinal Answer: 3.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "220 is what percentage of 391?"
},
{
"role": "assistant",
"content": "<reasoning>\n(220/391) × 100 = 56.266%.\n</reasoning>\nFinal Answer: 56.266%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -540 + 453"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -540 and 453: -540 + 453 = -87.\n</reasoning>\nFinal Answer: -87"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 25 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 25 × 40 = 1000.\n</reasoning>\nFinal Answer: 1000"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:21 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/21, so B = A × (21/31) = 88 × 21/31 = 59.6129.\n</reasoning>\nFinal Answer: 59.6129"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 552 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 552 × (1 - 65/100) = 552 × 0.35 = 193.2.\n</reasoning>\nFinal Answer: 193.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 19 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 19 = 114 worker-days. New time = 114 / 17 = 6.7059 days.\n</reasoning>\nFinal Answer: 6.7059"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -884 ÷ -759"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -884 by -759. -884 ÷ -759 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 30 = -12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 2x = -42. Divide by 2: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -54 × 473"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -54 by 473: -54 × 473 = -25542.\n</reasoning>\nFinal Answer: -25542"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 94 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(94+15) = 2×109 = 218.\n</reasoning>\nFinal Answer: 218"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21523 at 16% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21523 × 16 × 8 / 100 = 27549.44.\n</reasoning>\nFinal Answer: 27549.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -60 - 555"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 555 from -60: -60 - 555 = -615.\n</reasoning>\nFinal Answer: -615"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 30 = 730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 14x = 700. Divide by 14: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [78, 38, 18, 37, 89, 82, 81, 76, 7, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 574/10 = 57.4.\n</reasoning>\nFinal Answer: 57.4"
}
] | easy | [
"statistics",
"mean"
] |
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