messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mean of: [25, 97, 7, 86, 100, 18, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 396/7 = 56.5714.\n</reasoning>\nFinal Answer: 56.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -447 × -541"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -447 by -541: -447 × -541 = 241827.\n</reasoning>\nFinal Answer: 241827"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 2 = 102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 2x = 100. Divide by 2: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -94 + 496"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -94 and 496: -94 + 496 = 402.\n</reasoning>\nFinal Answer: 402"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/6 - 19/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/6 - 19/2. LCD = 6. Result = -37/6.\n</reasoning>\nFinal Answer: -37/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 72 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 72 × (1 - 20/100) = 72 × 0.8 = 57.6.\n</reasoning>\nFinal Answer: 57.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 / 3/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/20) ÷ (3/6) = (11/20) × (6/3) = 11/10.\n</reasoning>\nFinal Answer: 11/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 197 apples and buys 181 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 197 + 181 = 378.\n</reasoning>\nFinal Answer: 378"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 70 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 70 × 4 = 140.0.\n</reasoning>\nFinal Answer: 140.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 58 = 2059.0.\n</reasoning>\nFinal Answer: 2059.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 85 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 85 × 84 = 7140.\n</reasoning>\nFinal Answer: 7140"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -47 = -847"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 20x = -800. Divide by 20: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -598 × 131"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -598 by 131: -598 × 131 = -78338.\n</reasoning>\nFinal Answer: -78338"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 48 = -552"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 30x = -600. Divide by 30: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 673 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 673 × (1 + 80/100) = 673 × 1.8 = 1211.4.\n</reasoning>\nFinal Answer: 1211.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 34, 14, 32, 63, 68, 50, 63, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 14 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 25% of 680?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 680 = (25/100) × 680 = 170.0.\n</reasoning>\nFinal Answer: 170.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 - 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/7 - 15/17. LCD = 119. Result = 235/119.\n</reasoning>\nFinal Answer: 235/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -529 × -579"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -529 by -579: -529 × -579 = 306291.\n</reasoning>\nFinal Answer: 306291"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×40)/1 = 1720.\n</reasoning>\nFinal Answer: 1720"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 53, 83, 55, 54, 100, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 53 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -616 + -612"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -616 and -612: -616 + -612 = -1228.\n</reasoning>\nFinal Answer: -1228"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 497 - 453"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 453 from 497: 497 - 453 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 75% of 23?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 23 = (75/100) × 23 = 17.25.\n</reasoning>\nFinal Answer: 17.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×27)/1 = 1269.\n</reasoning>\nFinal Answer: 1269"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 + 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/14 + 4/19. Common denominator = 133. Result = 123/133.\n</reasoning>\nFinal Answer: 123/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -826 + 238"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -826 and 238: -826 + 238 = -588.\n</reasoning>\nFinal Answer: -588"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 89 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 89 × 4 = 178.0.\n</reasoning>\nFinal Answer: 178.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 81, 6, 50, 94, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 6 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 859 ÷ 756"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 859 by 756. 859 ÷ 756 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 13 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 45+169-40=174.\n</reasoning>\nFinal Answer: 174"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 23 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+23) × 26 = 546.0.\n</reasoning>\nFinal Answer: 546.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -894 ÷ 57"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -894 by 57. -894 ÷ 57 = -16 (integer division).\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -672 ÷ -162"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -672 by -162. -672 ÷ -162 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [14, 52, 4, 15, 85, 11, 55, 42, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 328/9 = 36.4444.\n</reasoning>\nFinal Answer: 36.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -17 = 8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 5x = 25. Divide by 5: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -50 = 370"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 30x = 420. Divide by 30: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 18] and B = [2, 5, 14, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [14, 15].\n</reasoning>\nFinal Answer: [14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 5 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 21/60 = 5.3500 hours. Distance = speed × time = 182 × 5.3500 = 973.7 km.\n</reasoning>\nFinal Answer: 973.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 552 - 760"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 760 from 552: 552 - 760 = -208.\n</reasoning>\nFinal Answer: -208"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 21 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 21 × 26 = 546.\n</reasoning>\nFinal Answer: 546"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 50 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (50×24)/2 = 600.\n</reasoning>\nFinal Answer: 600"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -37 = 383"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 12x = 420. Divide by 12: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 813 × 567"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 813 by 567: 813 × 567 = 460971.\n</reasoning>\nFinal Answer: 460971"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 41 * 42 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×42=1722, then 42+1722-23=1741.\n</reasoning>\nFinal Answer: 1741"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 12% of 687?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 687 = (12/100) × 687 = 82.44.\n</reasoning>\nFinal Answer: 82.44"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 733 mod -928"
},
{
"role": "assistant",
"content": "<reasoning>\n733 mod -928: 733 = -928 × -1 + -195, so remainder = -195.\n</reasoning>\nFinal Answer: -195"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 37 = -286"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 17x = -323. Divide by 17: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 43 = 313"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 18x = 270. Divide by 18: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 18 + 23 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×18=126 and 23×44=1012, then add: 1138.\n</reasoning>\nFinal Answer: 1138"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 455 + -883"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 455 and -883: 455 + -883 = -428.\n</reasoning>\nFinal Answer: -428"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [74, 22, 30, 94, 89, 78, 87, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 22 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 88 and 145."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(88,145) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 19 + 43 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×19=665 and 43×24=1032, then add: 1697.\n</reasoning>\nFinal Answer: 1697"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [31, 57, 45, 73, 84, 72, 47, 20, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 20 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×33)/1 = 1122.\n</reasoning>\nFinal Answer: 1122"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [33, 72, 75, 4, 9, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 230/6 = 38.3333.\n</reasoning>\nFinal Answer: 38.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 199 and 118."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(199,118) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 445 mod 772"
},
{
"role": "assistant",
"content": "<reasoning>\n445 mod 772: 445 = 772 × 0 + 445, so remainder = 445.\n</reasoning>\nFinal Answer: 445"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:11 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/11, so B = A × (11/43) = 55 × 11/43 = 14.0698.\n</reasoning>\nFinal Answer: 14.0698"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/20 * 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/20) × (14/11) = (112/220) = 28/55 after simplification.\n</reasoning>\nFinal Answer: 28/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 10, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (31-1)×10 = 23 + 300 = 323.\n</reasoning>\nFinal Answer: 323"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 157 km/h. How far does it travel in 9 hours and 4 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 4/60 = 9.0667 hours. Distance = speed × time = 157 × 9.0667 = 1423.4667 km.\n</reasoning>\nFinal Answer: 1423.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹389. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 389 × 12/100 = 46.68. Total = 389 + 46.68 = 435.68.\n</reasoning>\nFinal Answer: 435.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 82, 52, 42, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 42 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 727 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 727 × (1 + 70/100) = 727 × 1.7 = 1235.9.\n</reasoning>\nFinal Answer: 1235.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 20% of 623?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 623 = (20/100) × 623 = 124.6.\n</reasoning>\nFinal Answer: 124.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 2 = -328"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 15x = -330. Divide by 15: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "144 is what percentage of 353?"
},
{
"role": "assistant",
"content": "<reasoning>\n(144/353) × 100 = 40.7932%.\n</reasoning>\nFinal Answer: 40.7932%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 42 * 46 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×46=1932, then 48+1932-27=1953.\n</reasoning>\nFinal Answer: 1953"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [66, 3, 46, 8, 15, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 173/6 = 28.8333.\n</reasoning>\nFinal Answer: 28.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [49, 12, 4, 27, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 49 - 4 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 339 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 339 × (1 - 7/100) = 339 × 0.9299999999999999 = 315.27.\n</reasoning>\nFinal Answer: 315.27"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 7 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 7 × 46 = 322.\n</reasoning>\nFinal Answer: 322"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [59, 59, 59, 91, 6, 10, 30, 23, 61, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 10, 23, 30, 59, 59, 59, 61, 71, 91]. Middle value(s) → median = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 110 apples and buys 133 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 110 + 133 = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:16 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/16, so B = A × (16/3) = 19 × 16/3 = 101.3333.\n</reasoning>\nFinal Answer: 101.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 19 = 382"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 11x = 363. Divide by 11: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 76 km/h. How far does it travel in 10 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 35/60 = 10.5833 hours. Distance = speed × time = 76 × 10.5833 = 804.3333 km.\n</reasoning>\nFinal Answer: 804.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 23 * 1 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×1=23, then 7+23-33=-3.\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -34 = -124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 30x = -90. Divide by 30: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 701 km apart. Their speeds are 76 km/h and 59 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+59=135 km/h. Time = 701/135 = 5.1926 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:34 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/34, so B = A × (34/50) = 22 × 34/50 = 14.96.\n</reasoning>\nFinal Answer: 14.96"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 47 * 6 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×6=282, then 7+282-16=273.\n</reasoning>\nFinal Answer: 273"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 19 apples and buys 120 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 19 + 120 = 139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 28 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+28) × 20 = 380.0.\n</reasoning>\nFinal Answer: 380.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:9 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/9, so B = A × (9/18) = 9 × 9/18 = 4.5.\n</reasoning>\nFinal Answer: 4.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 50% of 234?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 234 = (50/100) × 234 = 117.0.\n</reasoning>\nFinal Answer: 117.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 25, 25, and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 25 + 25 + 26 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [3, 10, 15] and B = [14, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 10, 14, 15, 18].\n</reasoning>\nFinal Answer: [3, 10, 14, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -13 = 116"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 3x = 129. Divide by 3: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 28 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 27+784-40=771.\n</reasoning>\nFinal Answer: 771"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 22 + 30 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×22=110 and 30×17=510, then add: 620.\n</reasoning>\nFinal Answer: 620"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 180 km/h. How far does it travel in 2 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 13/60 = 2.2167 hours. Distance = speed × time = 180 × 2.2167 = 399.0 km.\n</reasoning>\nFinal Answer: 399.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/7 * 16/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/7) × (16/10) = (112/70) = 8/5 after simplification.\n</reasoning>\nFinal Answer: 8/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 925 × 862"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 925 by 862: 925 × 862 = 797350.\n</reasoning>\nFinal Answer: 797350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 30 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 30 × 35 = 1050.\n</reasoning>\nFinal Answer: 1050"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 4/12 + 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/12 + 13/3. Common denominator = 3. Result = 14/3.\n</reasoning>\nFinal Answer: 14/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 - 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/18 - 10/17. LCD = 306. Result = 41/306.\n</reasoning>\nFinal Answer: 41/306"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [17, 27, 52, 53, 83, 24, 68, 8, 36, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 377/10 = 37.7.\n</reasoning>\nFinal Answer: 37.7"
}
] | easy | [
"statistics",
"mean"
] |
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