messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 100% of 203?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 203 = (100/100) × 203 = 203.0.\n</reasoning>\nFinal Answer: 203.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 10 × 146"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 10 by 146: 10 × 146 = 1460.\n</reasoning>\nFinal Answer: 1460"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [15, 52, 59, 54, 61, 24, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 334/7 = 47.7143.\n</reasoning>\nFinal Answer: 47.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 17 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 26+289-30=285.\n</reasoning>\nFinal Answer: 285"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 195 + -680"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 195 and -680: 195 + -680 = -485.\n</reasoning>\nFinal Answer: -485"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 410 + -333"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 410 and -333: 410 + -333 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/20 * 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/20) × (5/3) = (70/60) = 7/6 after simplification.\n</reasoning>\nFinal Answer: 7/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 16 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 33+256-42=247.\n</reasoning>\nFinal Answer: 247"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 681 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 681 × (1 + 35/100) = 681 × 1.35 = 919.35.\n</reasoning>\nFinal Answer: 919.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/14 * 16/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/14) × (16/16) = (64/224) = 2/7 after simplification.\n</reasoning>\nFinal Answer: 2/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3661. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3661 × 28/100 = 1025.08. Total = 3661 + 1025.08 = 4686.08.\n</reasoning>\nFinal Answer: 4686.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 52 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 52 × 12 = 624.\n</reasoning>\nFinal Answer: 624"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 27 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (27×5)/1 = 135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 10 = -115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 25x = -125. Divide by 25: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 985 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 985 × (1 - 50/100) = 985 × 0.5 = 492.5.\n</reasoning>\nFinal Answer: 492.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 4, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (48-1)×4 = 39 + 188 = 227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 5 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(5+93) = 2×98 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 42 = -1133"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 25x = -1175. Divide by 25: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [99, 88, 14, 6, 21, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 14, 21, 87, 88, 99]. Middle value(s) → median = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 68 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(68,9) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 19 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 19 × 70 = 665.0.\n</reasoning>\nFinal Answer: 665.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 38 * 20 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×20=760, then 18+760-9=769.\n</reasoning>\nFinal Answer: 769"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -464 + -811"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -464 and -811: -464 + -811 = -1275.\n</reasoning>\nFinal Answer: -1275"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -25 = 13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 1x = 38. Divide by 1: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3671. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3671 × 12/100 = 440.52. Total = 3671 + 440.52 = 4111.52.\n</reasoning>\nFinal Answer: 4111.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 900 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from 900: 900 - 34 = 866.\n</reasoning>\nFinal Answer: 866"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 671 + 810"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 671 and 810: 671 + 810 = 1481.\n</reasoning>\nFinal Answer: 1481"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 20 = 153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 7x = 133. Divide by 7: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 14, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (32-1)×14 = 13 + 434 = 447.\n</reasoning>\nFinal Answer: 447"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 444 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 444 × (1 - 3/100) = 444 × 0.97 = 430.68.\n</reasoning>\nFinal Answer: 430.68"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 636 - -106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -106 from 636: 636 - -106 = 742.\n</reasoning>\nFinal Answer: 742"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [28, 40, 42, 61, 91, 26, 75, 10, 72, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 10 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 4 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+4) × 49 = 857.5.\n</reasoning>\nFinal Answer: 857.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 320 + -710"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 320 and -710: 320 + -710 = -390.\n</reasoning>\nFinal Answer: -390"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 59, 89, 87, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [58, 59, 87, 89, 95]. Middle value(s) → median = 87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 39 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 29+1521-28=1522.\n</reasoning>\nFinal Answer: 1522"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 5 = 725"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 16x = 720. Divide by 16: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 815 ÷ -574"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 815 by -574. 815 ÷ -574 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 277 ÷ 664"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 277 by 664. 277 ÷ 664 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 11 * 4 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×4=44, then 40+44-15=69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [26, 94, 21, 13, 10, 7, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {26: 1, 94: 1, 21: 1, 13: 1, 10: 1, 7: 1, 70: 1}. Most frequent: [26, 94, 21, 13, 10, 7, 70].\n</reasoning>\nFinal Answer: [26, 94, 21, 13, 10, 7, 70... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 43 * 14 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×14=602, then 42+602-21=623.\n</reasoning>\nFinal Answer: 623"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 312 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 312 × (1 - 30/100) = 312 × 0.7 = 218.4.\n</reasoning>\nFinal Answer: 218.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 847 × 506"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 847 by 506: 847 × 506 = 428582.\n</reasoning>\nFinal Answer: 428582"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 10, 12, 14, 16, 18] and B = [2, 4, 7, 8, 9, 10, 12, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10, 12, 16].\n</reasoning>\nFinal Answer: [10, 12, 16]"
}... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [16, 88, 70, 76, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 16 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:41 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/41, so B = A × (41/39) = 10 × 41/39 = 10.5128.\n</reasoning>\nFinal Answer: 10.5128"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 20, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (22-1)×20 = 41 + 420 = 461.\n</reasoning>\nFinal Answer: 461"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 80% of 965?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 965 = (80/100) × 965 = 772.0.\n</reasoning>\nFinal Answer: 772.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 985 × 810"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 985 by 810: 985 × 810 = 797850.\n</reasoning>\nFinal Answer: 797850"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [7, 96, 7, 62, 5, 42, 46, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {7: 2, 96: 1, 62: 1, 5: 1, 42: 1, 46: 1, 87: 1}. Most frequent: 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 35 + 15 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×35=1645 and 15×32=480, then add: 2125.\n</reasoning>\nFinal Answer: 2125"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 10 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 10 × 62 = 310.0.\n</reasoning>\nFinal Answer: 310.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 19, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (31-1)×19 = 40 + 570 = 610.\n</reasoning>\nFinal Answer: 610"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 49 = 115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 2x = 66. Divide by 2: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 86 km/h. How far does it travel in 10 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 25/60 = 10.4167 hours. Distance = speed × time = 86 × 10.4167 = 895.8333 km.\n</reasoning>\nFinal Answer: 895.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2113. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2113 × 18/100 = 380.34. Total = 2113 + 380.34 = 2493.34.\n</reasoning>\nFinal Answer: 2493.34"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -655 mod 234"
},
{
"role": "assistant",
"content": "<reasoning>\n-655 mod 234: -655 = 234 × -3 + 47, so remainder = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -42 = 119"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 23x = 161. Divide by 23: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:27 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/27, so B = A × (27/38) = 18 × 27/38 = 12.7895.\n</reasoning>\nFinal Answer: 12.7895"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24026 at 19% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24026 × 19 × 7 / 100 = 31954.58.\n</reasoning>\nFinal Answer: 31954.58"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 92 km/h. How far does it travel in 12 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 6/60 = 12.1000 hours. Distance = speed × time = 92 × 12.1000 = 1113.2 km.\n</reasoning>\nFinal Answer: 1113.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 15 = -1181"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 26x = -1196. Divide by 26: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 8, 10, 12, 17] and B = [5, 13, 14, 16], 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": "Calculate: -423 × -3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -423 by -3: -423 × -3 = 1269.\n</reasoning>\nFinal Answer: 1269"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 10, 14, 15, 18] and B = [1, 4, 8, 9, 14, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 14, 15].\n</reasoning>\nFinal Answer: [4, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹2020. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2020 × 18/100 = 363.6. Total = 2020 + 363.6 = 2383.6.\n</reasoning>\nFinal Answer: 2383.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 57 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(57+96) = 2×153 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 21 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 21 = 357 worker-days. New time = 357 / 4 = 89.25 days.\n</reasoning>\nFinal Answer: 89.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/5 + 10/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/5 + 10/6. Common denominator = 15. Result = 49/15.\n</reasoning>\nFinal Answer: 49/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:33 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/33, so B = A × (33/27) = 21 × 33/27 = 25.6667.\n</reasoning>\nFinal Answer: 25.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 4/6 + 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/6 + 12/12. Common denominator = 3. Result = 5/3.\n</reasoning>\nFinal Answer: 5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 18 * 38 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×38=684, then 14+684-13=685.\n</reasoning>\nFinal Answer: 685"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 641 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 641 × (1 - 60/100) = 641 × 0.4 = 256.4.\n</reasoning>\nFinal Answer: 256.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 366 + 478"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 366 and 478: 366 + 478 = 844.\n</reasoning>\nFinal Answer: 844"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 291 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 291 × (1 - 40/100) = 291 × 0.6 = 174.6.\n</reasoning>\nFinal Answer: 174.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 16 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 2+256-43=215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 16] and B = [5, 6, 12, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 6, 7, 12, 16, 18].\n</reasoning>\nFinal Answer: [1, 5, 6, 7, 12, 16, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-8)x + (12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -8² - 4×1×12 = 16. √discriminant = 4. x = (-(-8) ± 4) / (2×1). Solutions: x = 2 or x = 6.\n</reasoning>\nFinal Answer: x = 2 or x = 6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 126 km/h. How far does it travel in 12 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 37/60 = 12.6167 hours. Distance = speed × time = 126 × 12.6167 = 1589.7 km.\n</reasoning>\nFinal Answer: 1589.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 49 and width 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 49 × 20 = 980.\n</reasoning>\nFinal Answer: 980"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 5) * (10 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+5)=11, (10-20)=-10, then 11×-10=-110.\n</reasoning>\nFinal Answer: -110"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (12)x + (-63) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×3×-63 = 900. √discriminant = 30. x = (-(12) ± 30) / (2×3). Solutions: x = -7 or x = 3.\n</reasoning>\nFinal Answer: x = -7 or x = 3"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 41) * (46 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+41)=67, (46-35)=11, then 67×11=737.\n</reasoning>\nFinal Answer: 737"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 8, 14, 17, 19] and B = [5, 8, 10, 12, 14, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 19].\n</reasoning>\nFinal Answer: [7, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 37 + 49 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×37=1332 and 49×50=2450, then add: 3782.\n</reasoning>\nFinal Answer: 3782"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 85 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 85 × 36 = 3060.\n</reasoning>\nFinal Answer: 3060"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -566 × 118"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -566 by 118: -566 × 118 = -66788.\n</reasoning>\nFinal Answer: -66788"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -520 mod 511"
},
{
"role": "assistant",
"content": "<reasoning>\n-520 mod 511: -520 = 511 × -2 + 502, so remainder = 502.\n</reasoning>\nFinal Answer: 502"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -13 = 2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 5x = 15. Divide by 5: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 43 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 43 × 31 = 1333.\n</reasoning>\nFinal Answer: 1333"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -719 × -247"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -719 by -247: -719 × -247 = 177593.\n</reasoning>\nFinal Answer: 177593"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 129 km apart. Their speeds are 58 km/h and 45 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 58+45=103 km/h. Time = 129/103 = 1.2524 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3723. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3723 × 12/100 = 446.76. Total = 3723 + 446.76 = 4169.76.\n</reasoning>\nFinal Answer: 4169.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:19 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/19, so B = A × (19/28) = 99 × 19/28 = 67.1786.\n</reasoning>\nFinal Answer: 67.1786"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17589 at 16% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17589 × 16 × 3 / 100 = 8442.72.\n</reasoning>\nFinal Answer: 8442.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 204 mod -499"
},
{
"role": "assistant",
"content": "<reasoning>\n204 mod -499: 204 = -499 × -1 + -295, so remainder = -295.\n</reasoning>\nFinal Answer: -295"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/17 * 2/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/17) × (2/9) = (34/153) = 2/9 after simplification.\n</reasoning>\nFinal Answer: 2/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "364 is what percentage of 376?"
},
{
"role": "assistant",
"content": "<reasoning>\n(364/376) × 100 = 96.8085%.\n</reasoning>\nFinal Answer: 96.8085%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 12] and B = [2, 6, 7, 9, 12, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 6, 7, 16, 19].\n</reasoning>\nFinal Answer: [1, 2, ... | medium | [
"set_theory"
] |
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