messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 13x + 4 = 433"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 13x = 429. Divide by 13: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 24 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 24 × 83 = 1992.\n</reasoning>\nFinal Answer: 1992"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 26 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 26 × 100 = 2600.\n</reasoning>\nFinal Answer: 2600"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -212 mod -858"
},
{
"role": "assistant",
"content": "<reasoning>\n-212 mod -858: -212 = -858 × 0 + -212, so remainder = -212.\n</reasoning>\nFinal Answer: -212"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/7 + 3/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/7 + 3/17. Common denominator = 119. Result = 276/119.\n</reasoning>\nFinal Answer: 276/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 32, 95, 3, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 1 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 68 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 68 × 57 = 3876.\n</reasoning>\nFinal Answer: 3876"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/2 + 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/2 + 8/19. Common denominator = 19. Result = 65/19.\n</reasoning>\nFinal Answer: 65/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 17, 26, 76, 7, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 17: 1, 26: 1, 76: 1, 7: 1, 1: 1}. Most frequent: [37, 17, 26, 76, 7, 1].\n</reasoning>\nFinal Answer: [37, 17, 26, 76, 7, 1]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -43 = 165"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 26x = 208. Divide by 26: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -765 - 587"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 587 from -765: -765 - 587 = -1352.\n</reasoning>\nFinal Answer: -1352"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 420 + -420"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 420 and -420: 420 + -420 = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 28, 37, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 28 + 37 + 38 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 17, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (12-1)×17 = 41 + 187 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 32 and 176."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(32,176) = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:13 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/13, so B = A × (13/47) = 16 × 13/47 = 4.4255.\n</reasoning>\nFinal Answer: 4.4255"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -882 ÷ 612"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -882 by 612. -882 ÷ 612 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 19, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 19 + 28 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [9, 95, 58, 60, 82, 33, 44, 98, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 33, 40, 44, 58, 60, 82, 95, 98]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 198 apples and buys 37 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 198 + 37 = 235.\n</reasoning>\nFinal Answer: 235"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "5 is what percentage of 32?"
},
{
"role": "assistant",
"content": "<reasoning>\n(5/32) × 100 = 15.625%.\n</reasoning>\nFinal Answer: 15.625%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [25, 31, 50, 57, 39, 29, 49, 67, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 435/9 = 48.3333.\n</reasoning>\nFinal Answer: 48.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -303 mod -812"
},
{
"role": "assistant",
"content": "<reasoning>\n-303 mod -812: -303 = -812 × 0 + -303, so remainder = -303.\n</reasoning>\nFinal Answer: -303"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 718 + 246"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 718 and 246: 718 + 246 = 964.\n</reasoning>\nFinal Answer: 964"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 21 + 44 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×21=462 and 44×20=880, then add: 1342.\n</reasoning>\nFinal Answer: 1342"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 84 and 94."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(84,94) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -529 + -257"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -529 and -257: -529 + -257 = -786.\n</reasoning>\nFinal Answer: -786"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 29 = -257"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 22x = -286. Divide by 22: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 40% of 169?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 169 = (40/100) × 169 = 67.6.\n</reasoning>\nFinal Answer: 67.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 808 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 808 × (1 + 15/100) = 808 × 1.15 = 929.2.\n</reasoning>\nFinal Answer: 929.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 19] and B = [2, 8, 13, 16, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 8, 13, 16, 18, 19].\n</reasoning>\nFinal Answer: [2, 8, 13, 16, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 449 ÷ -505"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 449 by -505. 449 ÷ -505 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 16 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 16 = 48 worker-days. New time = 48 / 14 = 3.4286 days.\n</reasoning>\nFinal Answer: 3.4286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 80 apples and buys 137 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 80 + 137 = 217.\n</reasoning>\nFinal Answer: 217"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 167 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(167,3) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 80 × -470"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 80 by -470: 80 × -470 = -37600.\n</reasoning>\nFinal Answer: -37600"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -308 + 42"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -308 and 42: -308 + 42 = -266.\n</reasoning>\nFinal Answer: -266"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "232 is what percentage of 468?"
},
{
"role": "assistant",
"content": "<reasoning>\n(232/468) × 100 = 49.5726%.\n</reasoning>\nFinal Answer: 49.5726%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 422 × -805"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 422 by -805: 422 × -805 = -339710.\n</reasoning>\nFinal Answer: -339710"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×32)/1 = 992.\n</reasoning>\nFinal Answer: 992"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 / 19/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/16) ÷ (19/5) = (14/16) × (5/19) = 35/152.\n</reasoning>\nFinal Answer: 35/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 124 apples and buys 119 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 124 + 119 = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 18, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (46-1)×18 = 16 + 810 = 826.\n</reasoning>\nFinal Answer: 826"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -26 = -456"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 10x = -430. Divide by 10: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 36 + 29 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×36=1152 and 29×34=986, then add: 2138.\n</reasoning>\nFinal Answer: 2138"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/8 - 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/8 - 20/7. LCD = 28. Result = -59/28.\n</reasoning>\nFinal Answer: -59/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -736 - -92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -92 from -736: -736 - -92 = -644.\n</reasoning>\nFinal Answer: -644"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -20 = -1364"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 28x = -1344. Divide by 28: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -372 mod -405"
},
{
"role": "assistant",
"content": "<reasoning>\n-372 mod -405: -372 = -405 × 0 + -372, so remainder = -372.\n</reasoning>\nFinal Answer: -372"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 1, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (27-1)×1 = 45 + 26 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 13 = -344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 21x = -357. Divide by 21: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 35 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 35 × 4 = 70.0.\n</reasoning>\nFinal Answer: 70.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 5 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 38+25-48=15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 161 km/h. How far does it travel in 6 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 35/60 = 6.5833 hours. Distance = speed × time = 161 × 6.5833 = 1059.9167 km.\n</reasoning>\nFinal Answer: 1059.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25030 at 18% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25030 × 18 × 5 / 100 = 22527.0.\n</reasoning>\nFinal Answer: 22527.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -49 = -385"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 16x = -336. Divide by 16: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -499 mod -622"
},
{
"role": "assistant",
"content": "<reasoning>\n-499 mod -622: -499 = -622 × 0 + -499, so remainder = -499.\n</reasoning>\nFinal Answer: -499"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 74 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(74+16) = 2×90 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -19 = -123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 26x = -104. Divide by 26: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 8] and B = [6, 10, 11, 13, 14, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 6, 8, 10, 11, 13, 14, 15, 18].\n</reasoning>\nFinal Answer: [4, 6, 8, 10, 11, 13, 14... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 59, 34, 30, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 59 - 30 = 29.\n</reasoning>\nFinal Answer: 29"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 160 apples and buys 178 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 160 + 178 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -776 + 814"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -776 and 814: -776 + 814 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -3 = -479"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 17x = -476. Divide by 17: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -371 ÷ 144"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -371 by 144. -371 ÷ 144 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 * 1/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/13) × (1/10) = (20/130) = 2/13 after simplification.\n</reasoning>\nFinal Answer: 2/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 17 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+17) × 37 = 1202.5.\n</reasoning>\nFinal Answer: 1202.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 104 km/h. How far does it travel in 4 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 5/60 = 4.0833 hours. Distance = speed × time = 104 × 4.0833 = 424.6667 km.\n</reasoning>\nFinal Answer: 424.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 6 = 51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 3x = 45. Divide by 3: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -14 mod 237"
},
{
"role": "assistant",
"content": "<reasoning>\n-14 mod 237: -14 = 237 × -1 + 223, so remainder = 223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 436 ÷ 650"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 436 by 650. 436 ÷ 650 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -463 mod 277"
},
{
"role": "assistant",
"content": "<reasoning>\n-463 mod 277: -463 = 277 × -2 + 91, so remainder = 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 1 mod -171"
},
{
"role": "assistant",
"content": "<reasoning>\n1 mod -171: 1 = -171 × -1 + -170, so remainder = -170.\n</reasoning>\nFinal Answer: -170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 254 × -960"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 254 by -960: 254 × -960 = -243840.\n</reasoning>\nFinal Answer: -243840"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -14 = -266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 21x = -252. Divide by 21: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [62, 39, 97, 62, 99, 34, 46, 68, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 34, 39, 46, 62, 62, 68, 97, 99]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 17, 58, 29, 90, 78, 93, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 17 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [6, 18, 43, 25, 86, 9, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 9, 18, 25, 43, 51, 86]. Middle value(s) → median = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 117 × 350"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 117 by 350: 117 × 350 = 40950.\n</reasoning>\nFinal Answer: 40950"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 58 and 87."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(58,87) = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹2146. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2146 × 18/100 = 386.28. Total = 2146 + 386.28 = 2532.28.\n</reasoning>\nFinal Answer: 2532.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/9 * 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/9) × (12/17) = (156/153) = 52/51 after simplification.\n</reasoning>\nFinal Answer: 52/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -46 = 318"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 28x = 364. Divide by 28: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -23 = 1349"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 28x = 1372. Divide by 28: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 408 + -945"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 408 and -945: 408 + -945 = -537.\n</reasoning>\nFinal Answer: -537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 37) * (12 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+37)=67, (12-1)=11, then 67×11=737.\n</reasoning>\nFinal Answer: 737"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 229 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from 229: 229 - 23 = 206.\n</reasoning>\nFinal Answer: 206"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:37 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/37, so B = A × (37/16) = 77 × 37/16 = 178.0625.\n</reasoning>\nFinal Answer: 178.0625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 25 = -318"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 7x = -343. Divide by 7: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 884 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 884 × (1 - 25/100) = 884 × 0.75 = 663.0.\n</reasoning>\nFinal Answer: 663.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 15 + 8 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×15=615 and 8×48=384, then add: 999.\n</reasoning>\nFinal Answer: 999"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/11 * 18/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/11) × (18/3) = (126/33) = 42/11 after simplification.\n</reasoning>\nFinal Answer: 42/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:8 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/8, so B = A × (8/36) = 11 × 8/36 = 2.4444.\n</reasoning>\nFinal Answer: 2.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 14 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(14+38) = 2×52 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -57 - -626"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -626 from -57: -57 - -626 = 569.\n</reasoning>\nFinal Answer: 569"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 252 - -857"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -857 from 252: 252 - -857 = 1109.\n</reasoning>\nFinal Answer: 1109"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -30 = -6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 8x = 24. Divide by 8: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 199 apples and buys 186 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 199 + 186 = 385.\n</reasoning>\nFinal Answer: 385"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 21) * (44 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+21)=23, (44-22)=22, then 23×22=506.\n</reasoning>\nFinal Answer: 506"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 35 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 35 × 65 = 1137.5.\n</reasoning>\nFinal Answer: 1137.5"
}
] | easy | [
"geometry",
"area"
] |
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