messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 50% of 727?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 727 = (50/100) × 727 = 363.5.\n</reasoning>\nFinal Answer: 363.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 / 11/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/12) ÷ (11/20) = (19/12) × (20/11) = 95/33.\n</reasoning>\nFinal Answer: 95/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 15 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+15) × 9 = 207.0.\n</reasoning>\nFinal Answer: 207.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 11, 13] and B = [2, 3, 4, 7, 8, 9, 10, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 7, 8, 9, 10, 11, 13, 14].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -891 mod -336"
},
{
"role": "assistant",
"content": "<reasoning>\n-891 mod -336: -891 = -336 × 2 + -219, so remainder = -219.\n</reasoning>\nFinal Answer: -219"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:10 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/10, so B = A × (10/34) = 59 × 10/34 = 17.3529.\n</reasoning>\nFinal Answer: 17.3529"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 29 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 43+841-42=842.\n</reasoning>\nFinal Answer: 842"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -174 ÷ -835"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -174 by -835. -174 ÷ -835 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -238 mod -93"
},
{
"role": "assistant",
"content": "<reasoning>\n-238 mod -93: -238 = -93 × 2 + -52, so remainder = -52.\n</reasoning>\nFinal Answer: -52"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 23 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+23) × 25 = 712.5.\n</reasoning>\nFinal Answer: 712.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 95, 64, 35, 29, 85, 22, 66, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 456/9 = 50.6667.\n</reasoning>\nFinal Answer: 50.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 4/16 - 17/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/16 - 17/15. LCD = 60. Result = -53/60.\n</reasoning>\nFinal Answer: -53/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 200 apples and buys 103 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 200 + 103 = 303.\n</reasoning>\nFinal Answer: 303"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:34 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/34, so B = A × (34/6) = 45 × 34/6 = 255.0.\n</reasoning>\nFinal Answer: 255.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 75% of 688?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 688 = (75/100) × 688 = 516.0.\n</reasoning>\nFinal Answer: 516.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 38 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 44+1444-17=1471.\n</reasoning>\nFinal Answer: 1471"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/8 - 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/8 - 11/1. LCD = 8. Result = -73/8.\n</reasoning>\nFinal Answer: -73/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 22 = 842"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 20x = 820. Divide by 20: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -143 ÷ -944"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -143 by -944. -143 ÷ -944 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -23 = 1192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 27x = 1215. Divide by 27: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -405 mod 113"
},
{
"role": "assistant",
"content": "<reasoning>\n-405 mod 113: -405 = 113 × -4 + 47, so remainder = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 13, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (48-1)×13 = 3 + 611 = 614.\n</reasoning>\nFinal Answer: 614"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:11 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/11, so B = A × (11/20) = 34 × 11/20 = 18.7.\n</reasoning>\nFinal Answer: 18.7"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -212 × 101"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -212 by 101: -212 × 101 = -21412.\n</reasoning>\nFinal Answer: -21412"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2414. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2414 × 28/100 = 675.92. Total = 2414 + 675.92 = 3089.92.\n</reasoning>\nFinal Answer: 3089.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 63 mod -186"
},
{
"role": "assistant",
"content": "<reasoning>\n63 mod -186: 63 = -186 × -1 + -123, so remainder = -123.\n</reasoning>\nFinal Answer: -123"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 32 + 40 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×32=1504 and 40×40=1600, then add: 3104.\n</reasoning>\nFinal Answer: 3104"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 / 14/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/17) ÷ (14/4) = (1/17) × (4/14) = 2/119.\n</reasoning>\nFinal Answer: 2/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 14 = 322"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 14x = 308. Divide by 14: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 67 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(67+45) = 2×112 = 224.\n</reasoning>\nFinal Answer: 224"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 39 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 39 × 33 = 1287.\n</reasoning>\nFinal Answer: 1287"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (8)x + (-120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×2×-120 = 1024. √discriminant = 32. x = (-(8) ± 32) / (2×2). Solutions: x = 6 or x = -10.\n</reasoning>\nFinal Answer: x = 6 or x = -10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 131 km/h. How far does it travel in 1 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 2/60 = 1.0333 hours. Distance = speed × time = 131 × 1.0333 = 135.3667 km.\n</reasoning>\nFinal Answer: 135.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -315 ÷ -782"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -315 by -782. -315 ÷ -782 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 9, 16, 17] and B = [1, 5, 6, 9, 11, 14, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 6, 9, 11, 14, 15, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 4, 5,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -45 = -455"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 10x = -410. Divide by 10: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -865 × 86"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -865 by 86: -865 × 86 = -74390.\n</reasoning>\nFinal Answer: -74390"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 50, 92, 31, 81, 82, 68, 86, 62, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 50: 2, 92: 1, 31: 1, 81: 1, 82: 1, 68: 1, 86: 1, 62: 1}. Most frequent: 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 14 = 223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 19x = 209. Divide by 19: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 9."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 9 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 70, 16, 63, 97, 71, 69, 15, 88, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 545/10 = 54.5.\n</reasoning>\nFinal Answer: 54.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -986 × -782"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -986 by -782: -986 × -782 = 771052.\n</reasoning>\nFinal Answer: 771052"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -22 = -90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 2x = -68. Divide by 2: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 38 = -12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 25x = -50. Divide by 25: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Is 120 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n120 = 2 × 60, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 15 = -83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 7x = -98. Divide by 7: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 6, 12, 13, 15, 16] and B = [3, 9, 11, 14, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 5, 6, 9, 11, 12, 13, 14, 15].\n</rea... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -44 = 180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 28x = 224. Divide by 28: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 67 + 983"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 67 and 983: 67 + 983 = 1050.\n</reasoning>\nFinal Answer: 1050"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 503 mod -787"
},
{
"role": "assistant",
"content": "<reasoning>\n503 mod -787: 503 = -787 × -1 + -284, so remainder = -284.\n</reasoning>\nFinal Answer: -284"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2004 at 6% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2004 × 6 × 10 / 100 = 1202.4.\n</reasoning>\nFinal Answer: 1202.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -2 = 780"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 23x = 782. Divide by 23: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 * 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/1) × (8/2) = (112/2) = 56 after simplification.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 48 and 135."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(48,135) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 20 * 36 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×36=720, then 35+720-20=735.\n</reasoning>\nFinal Answer: 735"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 175 and 101."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(175,101) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 35 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 35 × 38 = 665.0.\n</reasoning>\nFinal Answer: 665.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -113 ÷ -513"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -113 by -513. -113 ÷ -513 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [93, 6, 77, 61, 51, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 8, 51, 61, 77, 93]. Middle value(s) → median = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 606 × -844"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 606 by -844: 606 × -844 = -511464.\n</reasoning>\nFinal Answer: -511464"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 4, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (44-1)×4 = 24 + 172 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 - 11/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/5 - 11/17. LCD = 17. Result = 6/17.\n</reasoning>\nFinal Answer: 6/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 18 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 18 × (1 - 50/100) = 18 × 0.5 = 9.0.\n</reasoning>\nFinal Answer: 9.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1563. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1563 × 5/100 = 78.15. Total = 1563 + 78.15 = 1641.15.\n</reasoning>\nFinal Answer: 1641.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/3 * 14/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/3) × (14/7) = (42/21) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 144 km/h. How far does it travel in 2 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 28/60 = 2.4667 hours. Distance = speed × time = 144 × 2.4667 = 355.2 km.\n</reasoning>\nFinal Answer: 355.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 6 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 6 = 60 worker-days. New time = 60 / 11 = 5.4545 days.\n</reasoning>\nFinal Answer: 5.4545"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 51 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(51+12) = 2×63 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "203 is what percentage of 450?"
},
{
"role": "assistant",
"content": "<reasoning>\n(203/450) × 100 = 45.1111%.\n</reasoning>\nFinal Answer: 45.1111%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 63 and height 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 63 × 90 = 2835.0.\n</reasoning>\nFinal Answer: 2835.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "30 is what percentage of 728?"
},
{
"role": "assistant",
"content": "<reasoning>\n(30/728) × 100 = 4.1209%.\n</reasoning>\nFinal Answer: 4.1209%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 39 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(39+40) = 2×79 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [85, 1, 75, 12, 38, 71, 86, 20, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 12, 20, 38, 71, 73, 75, 85, 86]. Middle value(s) → median = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 - 1/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/5 - 1/10. LCD = 10. Result = 3/10.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 * 7/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/7) × (7/5) = (84/35) = 12/5 after simplification.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 10 = 146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 4x = 136. Divide by 4: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 17 = -179"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 7x = -196. Divide by 7: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 26 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+26) × 48 = 1104.0.\n</reasoning>\nFinal Answer: 1104.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -816 ÷ 712"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -816 by 712. -816 ÷ 712 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 20 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 20 = 40 worker-days. New time = 40 / 11 = 3.6364 days.\n</reasoning>\nFinal Answer: 3.6364"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [94, 69, 19, 95, 26, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 361/6 = 60.1667.\n</reasoning>\nFinal Answer: 60.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 8, 33, 80, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 8: 1, 33: 1, 80: 1, 76: 1}. Most frequent: [24, 8, 33, 80, 76].\n</reasoning>\nFinal Answer: [24, 8, 33, 80, 76]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [32, 89, 28, 27, 44, 61, 29, 1, 78, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 1 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 61, 69, 60, 70, 63, 72, 98, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 43 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 6 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 36+36-3=69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -19 = -1123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 23x = -1104. Divide by 23: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/1 + 13/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/1 + 13/8. Common denominator = 8. Result = 93/8.\n</reasoning>\nFinal Answer: 93/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3252. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3252 × 12/100 = 390.24. Total = 3252 + 390.24 = 3642.24.\n</reasoning>\nFinal Answer: 3642.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:44 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/44, so B = A × (44/37) = 52 × 44/37 = 61.8378.\n</reasoning>\nFinal Answer: 61.8378"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 15 + 27 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×15=750 and 27×36=972, then add: 1722.\n</reasoning>\nFinal Answer: 1722"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:45 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/45, so B = A × (45/39) = 53 × 45/39 = 61.1538.\n</reasoning>\nFinal Answer: 61.1538"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 25% of 516?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 516 = (25/100) × 516 = 129.0.\n</reasoning>\nFinal Answer: 129.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -439 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from -439: -439 - 18 = -457.\n</reasoning>\nFinal Answer: -457"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -388 mod 618"
},
{
"role": "assistant",
"content": "<reasoning>\n-388 mod 618: -388 = 618 × -1 + 230, so remainder = 230.\n</reasoning>\nFinal Answer: 230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -50 = 1078"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 24x = 1128. Divide by 24: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 33 = 58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 5x = 25. Divide by 5: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 64, 90, 41, 81, 1, 88, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 64: 1, 90: 1, 41: 1, 81: 1, 1: 1, 88: 1, 75: 1}. Most frequent: [94, 64, 90, 41, 81, 1, 88, 75].\n</reasoning>\nFinal Answer: [94, 64, 90... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 121 apples and buys 147 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 121 + 147 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/3 / 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/3) ÷ (3/20) = (3/3) × (20/3) = 20/3.\n</reasoning>\nFinal Answer: 20/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -709 mod -999"
},
{
"role": "assistant",
"content": "<reasoning>\n-709 mod -999: -709 = -999 × 0 + -709, so remainder = -709.\n</reasoning>\nFinal Answer: -709"
}
] | medium | [
"arithmetic",
"computation"
] |
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