messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "An item costs ₹732. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 732 × 12/100 = 87.84. Total = 732 + 87.84 = 819.84.\n</reasoning>\nFinal Answer: 819.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 35 = 818"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 29x = 783. Divide by 29: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 30, 54, 3, 68, 13, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 3 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 20% of 829?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 829 = (20/100) × 829 = 165.8.\n</reasoning>\nFinal Answer: 165.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 26 = -4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 6x = -30. Divide by 6: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 43 = 940"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 23x = 897. Divide by 23: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 1000 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 1000 × (1 + 20/100) = 1000 × 1.2 = 1200.0.\n</reasoning>\nFinal Answer: 1200.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 17 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 8+289-48=249.\n</reasoning>\nFinal Answer: 249"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "402 is what percentage of 603?"
},
{
"role": "assistant",
"content": "<reasoning>\n(402/603) × 100 = 66.6667%.\n</reasoning>\nFinal Answer: 66.6667%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 75% of 192?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 192 = (75/100) × 192 = 144.0.\n</reasoning>\nFinal Answer: 144.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -37 = -262"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 25x = -225. Divide by 25: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:3 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/3, so B = A × (3/18) = 16 × 3/18 = 2.6667.\n</reasoning>\nFinal Answer: 2.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -340 - 55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 55 from -340: -340 - 55 = -395.\n</reasoning>\nFinal Answer: -395"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 / 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/5) ÷ (7/12) = (9/5) × (12/7) = 108/35.\n</reasoning>\nFinal Answer: 108/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "145 is what percentage of 253?"
},
{
"role": "assistant",
"content": "<reasoning>\n(145/253) × 100 = 57.3123%.\n</reasoning>\nFinal Answer: 57.3123%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:22 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/22, so B = A × (22/38) = 84 × 22/38 = 48.6316.\n</reasoning>\nFinal Answer: 48.6316"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 * 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/19) × (18/15) = (270/285) = 18/19 after simplification.\n</reasoning>\nFinal Answer: 18/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 7, 8, 11, 12, 13, 19] and B = [1, 2, 3, 5, 6, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 8, 11, 12, 13, 19].\n</reasoning>\nFinal Answer: [7, 8, 11, 12, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -3 = -487"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 22x = -484. Divide by 22: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 20, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (31-1)×20 = 3 + 600 = 603.\n</reasoning>\nFinal Answer: 603"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 30 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 39+900-39=900.\n</reasoning>\nFinal Answer: 900"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -19 = -899"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 22x = -880. Divide by 22: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 45 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(45+86) = 2×131 = 262.\n</reasoning>\nFinal Answer: 262"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 6 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 30+36-49=17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 12, 13, 14, 15, 18, 19] and B = [7, 9, 10, 12, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 5, 7, 9, 10, 13, 14, 15, 17, 19].\n<... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 10, 16] and B = [8, 11, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 33 * 46 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×46=1518, then 36+1518-17=1537.\n</reasoning>\nFinal Answer: 1537"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 441 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 441 × (1 + 5/100) = 441 × 1.05 = 463.05.\n</reasoning>\nFinal Answer: 463.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 / 20/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/11) ÷ (20/13) = (2/11) × (13/20) = 13/110.\n</reasoning>\nFinal Answer: 13/110"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 6) * (9 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+6)=43, (9-18)=-9, then 43×-9=-387.\n</reasoning>\nFinal Answer: -387"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 7 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 12+49-32=29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 25 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 25 = 325 worker-days. New time = 325 / 18 = 18.0556 days.\n</reasoning>\nFinal Answer: 18.0556"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 + 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/7 + 10/5. Common denominator = 7. Result = 34/7.\n</reasoning>\nFinal Answer: 34/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -369 × -261"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -369 by -261: -369 × -261 = 96309.\n</reasoning>\nFinal Answer: 96309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 3, 1, 14, 54, 48, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 1 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 24 + 32 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×24=600 and 32×36=1152, then add: 1752.\n</reasoning>\nFinal Answer: 1752"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 10 red and 3 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 3/13 = 0.2308.\n</reasoning>\nFinal Answer: 0.2308"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 798 + 668"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 798 and 668: 798 + 668 = 1466.\n</reasoning>\nFinal Answer: 1466"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 485 × -885"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 485 by -885: 485 × -885 = -429225.\n</reasoning>\nFinal Answer: -429225"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "121 is what percentage of 229?"
},
{
"role": "assistant",
"content": "<reasoning>\n(121/229) × 100 = 52.8384%.\n</reasoning>\nFinal Answer: 52.8384%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 30 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 11x = -88. Divide by 11: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 40% of 107?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 107 = (40/100) × 107 = 42.8.\n</reasoning>\nFinal Answer: 42.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 / 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/11) ÷ (5/3) = (3/11) × (3/5) = 9/55.\n</reasoning>\nFinal Answer: 9/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 264 - -284"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -284 from 264: 264 - -284 = 548.\n</reasoning>\nFinal Answer: 548"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 30 * 11 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×11=330, then 47+330-29=348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -49 = 252"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 7x = 301. Divide by 7: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 524 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 524 × (1 + 12/100) = 524 × 1.12 = 586.88.\n</reasoning>\nFinal Answer: 586.88"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "479 is what percentage of 951?"
},
{
"role": "assistant",
"content": "<reasoning>\n(479/951) × 100 = 50.368%.\n</reasoning>\nFinal Answer: 50.368%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -640 mod 939"
},
{
"role": "assistant",
"content": "<reasoning>\n-640 mod 939: -640 = 939 × -1 + 299, so remainder = 299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 9 = -225"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 13x = -234. Divide by 13: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:7 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/7, so B = A × (7/20) = 38 × 7/20 = 13.3.\n</reasoning>\nFinal Answer: 13.3"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [62, 95, 76, 89, 23, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 353/6 = 58.8333.\n</reasoning>\nFinal Answer: 58.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 456 - -413"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -413 from 456: 456 - -413 = 869.\n</reasoning>\nFinal Answer: 869"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -463 × -677"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -463 by -677: -463 × -677 = 313451.\n</reasoning>\nFinal Answer: 313451"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 76 apples and buys 15 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 76 + 15 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 39) * (38 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+39)=47, (38-16)=22, then 47×22=1034.\n</reasoning>\nFinal Answer: 1034"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 9 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+9) × 39 = 1014.0.\n</reasoning>\nFinal Answer: 1014.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 76."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 76 by smallest primes repeatedly: 76 = 2 × 2 × 19.\n</reasoning>\nFinal Answer: 2 × 2 × 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 60, 45, 100, 86, 95, 37, 7, 65, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 612/10 = 61.2.\n</reasoning>\nFinal Answer: 61.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 26 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 26 × 95 = 2470.\n</reasoning>\nFinal Answer: 2470"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 86 km/h. How far does it travel in 1 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 36/60 = 1.6000 hours. Distance = speed × time = 86 × 1.6000 = 137.6 km.\n</reasoning>\nFinal Answer: 137.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 15% of 750?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 750 = (15/100) × 750 = 112.5.\n</reasoning>\nFinal Answer: 112.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 508 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 508 × (1 - 7/100) = 508 × 0.9299999999999999 = 472.44.\n</reasoning>\nFinal Answer: 472.44"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -24 = 246"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 10x = 270. Divide by 10: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 12, 17, 18] and B = [2, 3, 14, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 12, 14, 15, 17, 18].\n</reasoning>\nFinal Answer: [3,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 31 + 14 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×31=992 and 14×17=238, then add: 1230.\n</reasoning>\nFinal Answer: 1230"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 12 * 20 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×20=240, then 3+240-28=215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 159 km/h. How far does it travel in 7 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 23/60 = 7.3833 hours. Distance = speed × time = 159 × 7.3833 = 1173.95 km.\n</reasoning>\nFinal Answer: 1173.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 829 ÷ 909"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 829 by 909. 829 ÷ 909 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 10% of 842?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 842 = (10/100) × 842 = 84.2.\n</reasoning>\nFinal Answer: 84.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 192 km/h. How far does it travel in 11 hours and 4 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 4/60 = 11.0667 hours. Distance = speed × time = 192 × 11.0667 = 2124.8 km.\n</reasoning>\nFinal Answer: 2124.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 8, 9, 11, 12, 15] and B = [2, 4, 7, 11, 14, 15, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 6, 7, 8, 9, 11, 12, 14, 15, 18, 19].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (16)x + (-18) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 16² - 4×2×-18 = 400. √discriminant = 20. x = (-(16) ± 20) / (2×2). Solutions: x = 1 or x = -9.\n</reasoning>\nFinal Answer: x = 1 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 1 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+1) × 19 = 389.5.\n</reasoning>\nFinal Answer: 389.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 75% of 497?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 497 = (75/100) × 497 = 372.75.\n</reasoning>\nFinal Answer: 372.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 98, 92, 100, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 44 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10077 at 20% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10077 × 20 × 7 / 100 = 14107.8.\n</reasoning>\nFinal Answer: 14107.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 6, 14, 16, 17, 19] and B = [5, 7, 11], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3, 4, 6, 14, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 3, 4, 6, 14, 16, 17... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 4, 42, 91, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 4: 1, 42: 1, 91: 1, 18: 1}. Most frequent: [76, 4, 42, 91, 18].\n</reasoning>\nFinal Answer: [76, 4, 42, 91, 18]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 13/19 + 19/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/19 + 19/18. Common denominator = 342. Result = 595/342.\n</reasoning>\nFinal Answer: 595/342"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 778 km apart. Their speeds are 107 km/h and 60 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 107+60=167 km/h. Time = 778/167 = 4.6587 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 22, 40, 4, 75, 88, 74, 37, 57, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 4 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 703 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 703 × (1 - 75/100) = 703 × 0.25 = 175.75.\n</reasoning>\nFinal Answer: 175.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 16 + 50 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×16=608 and 50×14=700, then add: 1308.\n</reasoning>\nFinal Answer: 1308"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 5% of 895?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 895 = (5/100) × 895 = 44.75.\n</reasoning>\nFinal Answer: 44.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 261 ÷ -446"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 261 by -446. 261 ÷ -446 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [35, 42, 88, 16, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {35: 1, 42: 1, 88: 1, 16: 1, 99: 1}. Most frequent: [35, 42, 88, 16, 99].\n</reasoning>\nFinal Answer: [35, 42, 88, 16, 99]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -38 = 522"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 14x = 560. Divide by 14: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 13 + 14 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×13=13 and 14×48=672, then add: 685.\n</reasoning>\nFinal Answer: 685"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [47, 42, 92, 11, 46, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 33, 42, 46, 47, 92]. Middle value(s) → median = 44.0.\n</reasoning>\nFinal Answer: 44.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 - 9/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/16 - 9/18. LCD = 16. Result = 5/16.\n</reasoning>\nFinal Answer: 5/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 26 + 30 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×26=598 and 30×29=870, then add: 1468.\n</reasoning>\nFinal Answer: 1468"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 16 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+16) × 25 = 625.0.\n</reasoning>\nFinal Answer: 625.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 671 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 671 × (1 + 25/100) = 671 × 1.25 = 838.75.\n</reasoning>\nFinal Answer: 838.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2970. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2970 × 28/100 = 831.6. Total = 2970 + 831.6 = 3801.6.\n</reasoning>\nFinal Answer: 3801.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 53 apples and buys 77 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 53 + 77 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:38 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/38, so B = A × (38/18) = 96 × 38/18 = 202.6667.\n</reasoning>\nFinal Answer: 202.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 20 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 20 = 340 worker-days. New time = 340 / 20 = 17.0 days.\n</reasoning>\nFinal Answer: 17.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 8, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (49-1)×8 = 31 + 384 = 415.\n</reasoning>\nFinal Answer: 415"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -235 mod 830"
},
{
"role": "assistant",
"content": "<reasoning>\n-235 mod 830: -235 = 830 × -1 + 595, so remainder = 595.\n</reasoning>\nFinal Answer: 595"
}
] | medium | [
"arithmetic",
"computation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.