messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 5:16 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/16, so B = A × (16/5) = 27 × 16/5 = 86.4.\n</reasoning>\nFinal Answer: 86.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 50 = 202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 4x = 152. Divide by 4: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 27 apples and buys 65 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 27 + 65 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 353 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 353 × (1 + 7/100) = 353 × 1.07 = 377.71.\n</reasoning>\nFinal Answer: 377.71"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 - 18/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/14 - 18/11. LCD = 77. Result = -27/77.\n</reasoning>\nFinal Answer: -27/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 21 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 21 = 420 worker-days. New time = 420 / 19 = 22.1053 days.\n</reasoning>\nFinal Answer: 22.1053"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -19 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 3x = 117. Divide by 3: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:40 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/40, so B = A × (40/19) = 18 × 40/19 = 37.8947.\n</reasoning>\nFinal Answer: 37.8947"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 87, 54, 74, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 87: 1, 54: 1, 74: 1, 90: 1}. Most frequent: [91, 87, 54, 74, 90].\n</reasoning>\nFinal Answer: [91, 87, 54, 74, 90]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "137 is what percentage of 182?"
},
{
"role": "assistant",
"content": "<reasoning>\n(137/182) × 100 = 75.2747%.\n</reasoning>\nFinal Answer: 75.2747%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 212 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 212 × (1 + 75/100) = 212 × 1.75 = 371.0.\n</reasoning>\nFinal Answer: 371.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 10, 12] and B = [2, 7, 14, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 7].\n</reasoning>\nFinal Answer: [2, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 47 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 47 × 39 = 1833.\n</reasoning>\nFinal Answer: 1833"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [90, 31, 57, 13, 14, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 14, 31, 34, 57, 90]. Middle value(s) → median = 32.5.\n</reasoning>\nFinal Answer: 32.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 20/11 / 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/11) ÷ (13/1) = (20/11) × (1/13) = 20/143.\n</reasoning>\nFinal Answer: 20/143"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 4, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (24-1)×4 = 41 + 92 = 133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -181 × 711"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -181 by 711: -181 × 711 = -128691.\n</reasoning>\nFinal Answer: -128691"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 7 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+7) × 24 = 384.0.\n</reasoning>\nFinal Answer: 384.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [3, 94, 47, 8, 26, 78, 39, 66, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 8, 26, 39, 47, 66, 78, 91, 94]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 6 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 6 × 71 = 426.\n</reasoning>\nFinal Answer: 426"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 89 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(89+97) = 2×186 = 372.\n</reasoning>\nFinal Answer: 372"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -82 - 865"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 865 from -82: -82 - 865 = -947.\n</reasoning>\nFinal Answer: -947"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 200 apples and buys 106 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 200 + 106 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 11, 12, 13, 17, 18, 19] and B = [1, 2, 3, 6, 8, 10, 12, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 12].\n</reasoning>\nFinal Answer: [1, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 5 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 39+25-7=57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 19, 45, 97, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 290/5 = 58.0.\n</reasoning>\nFinal Answer: 58.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 42 * 30 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×30=1260, then 19+1260-7=1272.\n</reasoning>\nFinal Answer: 1272"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 14 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 14 = 238 worker-days. New time = 238 / 4 = 59.5 days.\n</reasoning>\nFinal Answer: 59.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 85, 7, 18, 16, 40, 80, 56, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 16, 18, 40, 56, 61, 80, 85, 91]. Middle value(s) → median = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 33, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 33 + 36 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:44 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/44, so B = A × (44/31) = 18 × 44/31 = 25.5484.\n</reasoning>\nFinal Answer: 25.5484"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "138 is what percentage of 415?"
},
{
"role": "assistant",
"content": "<reasoning>\n(138/415) × 100 = 33.253%.\n</reasoning>\nFinal Answer: 33.253%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 30 - -303"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -303 from 30: 30 - -303 = 333.\n</reasoning>\nFinal Answer: 333"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -717 × 138"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -717 by 138: -717 × 138 = -98946.\n</reasoning>\nFinal Answer: -98946"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 13 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 13 = 39 worker-days. New time = 39 / 9 = 4.3333 days.\n</reasoning>\nFinal Answer: 4.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9502 at 7% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9502 × 7 × 1 / 100 = 665.14.\n</reasoning>\nFinal Answer: 665.14"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 43 * 16 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×16=688, then 23+688-15=696.\n</reasoning>\nFinal Answer: 696"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 37 apples and buys 8 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 37 + 8 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 505 km apart. Their speeds are 67 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 67+99=166 km/h. Time = 505/166 = 3.0422 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:10 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/10, so B = A × (10/19) = 41 × 10/19 = 21.5789.\n</reasoning>\nFinal Answer: 21.5789"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 27 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 27 = 81 worker-days. New time = 81 / 16 = 5.0625 days.\n</reasoning>\nFinal Answer: 5.0625"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 73 = 6497.\n</reasoning>\nFinal Answer: 6497"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 72 and width 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 72 × 94 = 6768.\n</reasoning>\nFinal Answer: 6768"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -4 = -1204"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 24x = -1200. Divide by 24: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 40 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+40) × 5 = 117.5.\n</reasoning>\nFinal Answer: 117.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 13, 16, 17, 18, 19] and B = [2, 4, 15, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 13, 16, 17, 19].\n</reasoning>\nFinal Answer: [7, 13, 16, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:32 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/32, so B = A × (32/9) = 75 × 32/9 = 266.6667.\n</reasoning>\nFinal Answer: 266.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [94, 73, 14, 91, 28, 89, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 14 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -503 mod 303"
},
{
"role": "assistant",
"content": "<reasoning>\n-503 mod 303: -503 = 303 × -2 + 103, so remainder = 103.\n</reasoning>\nFinal Answer: 103"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 21 + 38 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×21=252 and 38×13=494, then add: 746.\n</reasoning>\nFinal Answer: 746"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 70% of 569?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 569 = (70/100) × 569 = 398.3.\n</reasoning>\nFinal Answer: 398.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 / 15/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/19) ÷ (15/15) = (17/19) × (15/15) = 17/19.\n</reasoning>\nFinal Answer: 17/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -9 = -89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 2x = -80. Divide by 2: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [5, 12, 15, 19] and B = [2, 4, 5, 6, 16, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 19].\n</reasoning>\nFinal Answer: [5, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 1, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (24-1)×1 = 42 + 23 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 49 = -95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 18x = -144. Divide by 18: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -144 × 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -144 by 15: -144 × 15 = -2160.\n</reasoning>\nFinal Answer: -2160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 27 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 27 × 2 = 27.0.\n</reasoning>\nFinal Answer: 27.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 40 = -848"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 24x = -888. Divide by 24: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14610 at 5% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14610 × 5 × 4 / 100 = 2922.0.\n</reasoning>\nFinal Answer: 2922.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:36 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/36, so B = A × (36/40) = 43 × 36/40 = 38.7.\n</reasoning>\nFinal Answer: 38.7"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -38 = 402"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 22x = 440. Divide by 22: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-85)x + (360) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -85² - 4×5×360 = 25. √discriminant = 5. x = (-(-85) ± 5) / (2×5). Solutions: x = 9 or x = 8.\n</reasoning>\nFinal Answer: x = 9 or x = 8"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -15 = 585"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 12x = 600. Divide by 12: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-15)x + (-200) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×5×-200 = 4225. √discriminant = 65. x = (-(-15) ± 65) / (2×5). Solutions: x = 8 or x = -5.\n</reasoning>\nFinal Answer: x = 8 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -37 = 32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 3x = 69. Divide by 3: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 26 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (26×5)/1 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 46) * (13 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+46)=69, (13-19)=-6, then 69×-6=-414.\n</reasoning>\nFinal Answer: -414"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 26 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 26 × 13 = 169.0.\n</reasoning>\nFinal Answer: 169.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 920 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 920 × (1 + 30/100) = 920 × 1.3 = 1196.0.\n</reasoning>\nFinal Answer: 1196.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/10 * 17/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/10) × (17/17) = (289/170) = 17/10 after simplification.\n</reasoning>\nFinal Answer: 17/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -328 + -354"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -328 and -354: -328 + -354 = -682.\n</reasoning>\nFinal Answer: -682"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹26516 at 18% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 26516 × 18 × 6 / 100 = 28637.28.\n</reasoning>\nFinal Answer: 28637.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 242 km apart. Their speeds are 72 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+64=136 km/h. Time = 242/136 = 1.7794 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 22 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+22) × 41 = 1291.5.\n</reasoning>\nFinal Answer: 1291.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [75, 9, 96, 51, 93, 54, 41, 8, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {75: 1, 9: 1, 96: 1, 51: 1, 93: 1, 54: 1, 41: 1, 8: 1, 42: 1}. Most frequent: [75, 9, 96, 51, 93, 54, 41, 8, 42].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 121 km apart. Their speeds are 83 km/h and 117 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+117=200 km/h. Time = 121/200 = 0.605 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 804 × 872"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 804 by 872: 804 × 872 = 701088.\n</reasoning>\nFinal Answer: 701088"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/12 * 10/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/12) × (10/12) = (150/144) = 25/24 after simplification.\n</reasoning>\nFinal Answer: 25/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 46, 90, 55, 50, 57, 85, 31, 30, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 30, 31, 46, 50, 55, 57, 79, 85, 90]. Middle value(s) → median = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [9, 26, 43, 60, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 9 and common difference 17. Next term = 77 + 17 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹2791. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2791 × 18/100 = 502.38. Total = 2791 + 502.38 = 3293.38.\n</reasoning>\nFinal Answer: 3293.38"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 450 + 941"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 450 and 941: 450 + 941 = 1391.\n</reasoning>\nFinal Answer: 1391"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 932 + -623"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 932 and -623: 932 + -623 = 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 552 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 552 × (1 - 10/100) = 552 × 0.9 = 496.8.\n</reasoning>\nFinal Answer: 496.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/1 - 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/1 - 5/5. LCD = 1. Result = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -171 - -965"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -965 from -171: -171 - -965 = 794.\n</reasoning>\nFinal Answer: 794"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 35 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 35 × 87 = 3045.\n</reasoning>\nFinal Answer: 3045"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 55, 64, 99, 77, 28, 87, 32, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 32, 50, 55, 64, 77, 87, 95, 99]. Middle value(s) → median = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 17 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 43+289-14=318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -7 = -697"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 23x = -690. Divide by 23: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 9 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 9 = 162 worker-days. New time = 162 / 18 = 9.0 days.\n</reasoning>\nFinal Answer: 9.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 / 7/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/19) ÷ (7/20) = (11/19) × (20/7) = 220/133.\n</reasoning>\nFinal Answer: 220/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -361 × -704"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -361 by -704: -361 × -704 = 254144.\n</reasoning>\nFinal Answer: 254144"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "61 is what percentage of 943?"
},
{
"role": "assistant",
"content": "<reasoning>\n(61/943) × 100 = 6.4687%.\n</reasoning>\nFinal Answer: 6.4687%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 16 = -440"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 19x = -456. Divide by 19: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 17, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (11-1)×17 = 20 + 170 = 190.\n</reasoning>\nFinal Answer: 190"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 24 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+24) × 27 = 675.0.\n</reasoning>\nFinal Answer: 675.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/14 - 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/14 - 1/16. LCD = 112. Result = 121/112.\n</reasoning>\nFinal Answer: 121/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 30 = -568"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 26x = -598. Divide by 26: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
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