messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the median of: [63, 91, 17, 36, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 36, 62, 63, 91]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -41 = -613"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 26x = -572. Divide by 26: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 64 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 64 × 80 = 5120.\n</reasoning>\nFinal Answer: 5120"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -37 = -469"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 16x = -432. Divide by 16: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [18, 87, 35, 65, 4, 69, 38, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 4 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 159 - -118"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -118 from 159: 159 - -118 = 277.\n</reasoning>\nFinal Answer: 277"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 91 km/h. How far does it travel in 5 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 37/60 = 5.6167 hours. Distance = speed × time = 91 × 5.6167 = 511.1167 km.\n</reasoning>\nFinal Answer: 511.1167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 134 apples and buys 81 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 134 + 81 = 215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 8, 9, 10, 12, 18] and B = [1, 5, 7, 15, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [6, 7, 8, 9, 10, 12, 15, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 21 + 49 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×21=483 and 49×17=833, then add: 1316.\n</reasoning>\nFinal Answer: 1316"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:25 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/25, so B = A × (25/7) = 75 × 25/7 = 267.8571.\n</reasoning>\nFinal Answer: 267.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 199 apples and buys 166 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 199 + 166 = 365.\n</reasoning>\nFinal Answer: 365"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [68, 13, 19, 15, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {68: 1, 13: 1, 19: 1, 15: 1, 75: 1}. Most frequent: [68, 13, 19, 15, 75].\n</reasoning>\nFinal Answer: [68, 13, 19, 15, 75]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 30 + 11 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×30=90 and 11×38=418, then add: 508.\n</reasoning>\nFinal Answer: 508"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 56 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 56 × (1 + 40/100) = 56 × 1.4 = 78.4.\n</reasoning>\nFinal Answer: 78.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 3. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 3² = π × 9 ≈ 28.2743.\n</reasoning>\nFinal Answer: 28.2743"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 19 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 19 = 361 worker-days. New time = 361 / 4 = 90.25 days.\n</reasoning>\nFinal Answer: 90.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31616 at 18% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31616 × 18 × 4 / 100 = 22763.52.\n</reasoning>\nFinal Answer: 22763.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 7 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+7) × 9 = 90.0.\n</reasoning>\nFinal Answer: 90.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 132 km/h. How far does it travel in 12 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 41/60 = 12.6833 hours. Distance = speed × time = 132 × 12.6833 = 1674.2 km.\n</reasoning>\nFinal Answer: 1674.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 72 km/h. How far does it travel in 5 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 33/60 = 5.5500 hours. Distance = speed × time = 72 × 5.5500 = 399.6 km.\n</reasoning>\nFinal Answer: 399.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 5 = -619"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 13x = -624. Divide by 13: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 939 × 887"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 939 by 887: 939 × 887 = 832893.\n</reasoning>\nFinal Answer: 832893"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "55 is what percentage of 670?"
},
{
"role": "assistant",
"content": "<reasoning>\n(55/670) × 100 = 8.209%.\n</reasoning>\nFinal Answer: 8.209%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 * 17/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/18) × (17/2) = (102/36) = 17/6 after simplification.\n</reasoning>\nFinal Answer: 17/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 41 + 49 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×41=820 and 49×47=2303, then add: 3123.\n</reasoning>\nFinal Answer: 3123"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -817 + -468"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -817 and -468: -817 + -468 = -1285.\n</reasoning>\nFinal Answer: -1285"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -416 ÷ 989"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -416 by 989. -416 ÷ 989 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 15 = -267"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 6x = -282. Divide by 6: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 18 = 1004"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 29x = 986. Divide by 29: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 90% of 933?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 933 = (90/100) × 933 = 839.7.\n</reasoning>\nFinal Answer: 839.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 171 ÷ 215"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 171 by 215. 171 ÷ 215 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 39 = -426"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 15x = -465. Divide by 15: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 40 apples and buys 149 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 40 + 149 = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 3, 8, 83, 25, 75, 5, 92, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 5, 8, 25, 47, 75, 79, 83, 92]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 15/17 / 16/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/17) ÷ (16/15) = (15/17) × (15/16) = 225/272.\n</reasoning>\nFinal Answer: 225/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -30 ÷ 383"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -30 by 383. -30 ÷ 383 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -4 = 176"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 6x = 180. Divide by 6: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 40% of 679?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 679 = (40/100) × 679 = 271.6.\n</reasoning>\nFinal Answer: 271.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 12 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 12 = 192 worker-days. New time = 192 / 11 = 17.4545 days.\n</reasoning>\nFinal Answer: 17.4545"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -480 × 838"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -480 by 838: -480 × 838 = -402240.\n</reasoning>\nFinal Answer: -402240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 167 + -428"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 167 and -428: 167 + -428 = -261.\n</reasoning>\nFinal Answer: -261"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 1 = -569"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 30x = -570. Divide by 30: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 701 + -797"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 701 and -797: 701 + -797 = -96.\n</reasoning>\nFinal Answer: -96"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:36 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/36, so B = A × (36/18) = 87 × 36/18 = 174.0.\n</reasoning>\nFinal Answer: 174.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 270 × 558"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 270 by 558: 270 × 558 = 150660.\n</reasoning>\nFinal Answer: 150660"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 / 9/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/18) ÷ (9/19) = (6/18) × (19/9) = 19/27.\n</reasoning>\nFinal Answer: 19/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/13 + 19/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/13 + 19/14. Common denominator = 182. Result = 345/182.\n</reasoning>\nFinal Answer: 345/182"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 32 = -304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 8x = -336. Divide by 8: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -917 × 319"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -917 by 319: -917 × 319 = -292523.\n</reasoning>\nFinal Answer: -292523"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 47 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 23+2209-20=2212.\n</reasoning>\nFinal Answer: 2212"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 163 apples and buys 101 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 163 + 101 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -239 ÷ 711"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -239 by 711. -239 ÷ 711 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33048 at 14% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33048 × 14 × 9 / 100 = 41640.48.\n</reasoning>\nFinal Answer: 41640.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:42 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/42, so B = A × (42/42) = 82 × 42/42 = 82.0.\n</reasoning>\nFinal Answer: 82.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 538 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 538 × (1 + 100/100) = 538 × 2.0 = 1076.0.\n</reasoning>\nFinal Answer: 1076.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "30 is what percentage of 353?"
},
{
"role": "assistant",
"content": "<reasoning>\n(30/353) × 100 = 8.4986%.\n</reasoning>\nFinal Answer: 8.4986%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 92 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 92 × 58 = 2668.0.\n</reasoning>\nFinal Answer: 2668.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -370 mod 35"
},
{
"role": "assistant",
"content": "<reasoning>\n-370 mod 35: -370 = 35 × -11 + 15, so remainder = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 357 mod -255"
},
{
"role": "assistant",
"content": "<reasoning>\n357 mod -255: 357 = -255 × -2 + -153, so remainder = -153.\n</reasoning>\nFinal Answer: -153"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 26 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 26 = 494 worker-days. New time = 494 / 7 = 70.5714 days.\n</reasoning>\nFinal Answer: 70.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 9, 15, 18] and B = [1, 5, 8, 12], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 7, 9, 15, 18].\n</reasoning>\nFinal Answer: [2, 3, 7, 9, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 87 apples and buys 50 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 87 + 50 = 137.\n</reasoning>\nFinal Answer: 137"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:36 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/36, so B = A × (36/12) = 77 × 36/12 = 231.0.\n</reasoning>\nFinal Answer: 231.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 35% of 901?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 901 = (35/100) × 901 = 315.35.\n</reasoning>\nFinal Answer: 315.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 29, 66, 19, 23, 25, 68, 51, 61, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 14 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 37 * 27 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×27=999, then 45+999-9=1035.\n</reasoning>\nFinal Answer: 1035"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -911 - 613"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 613 from -911: -911 - 613 = -1524.\n</reasoning>\nFinal Answer: -1524"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 + 8/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/13 + 8/7. Common denominator = 91. Result = 202/91.\n</reasoning>\nFinal Answer: 202/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 27, 88, 4, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 27, 82, 88, 98]. Middle value(s) → median = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 26 apples and buys 133 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 26 + 133 = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -991 ÷ 635"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -991 by 635. -991 ÷ 635 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -351 mod 303"
},
{
"role": "assistant",
"content": "<reasoning>\n-351 mod 303: -351 = 303 × -2 + 255, so remainder = 255.\n</reasoning>\nFinal Answer: 255"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 7, 8, 9, 11, 12] and B = [2, 7, 9, 10, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 8, 11, 12].\n</reasoning>\nFinal Answer: [4, 6, 8, 11, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -833 mod 496"
},
{
"role": "assistant",
"content": "<reasoning>\n-833 mod 496: -833 = 496 × -2 + 159, so remainder = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 264 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 264 × (1 + 7/100) = 264 × 1.07 = 282.48.\n</reasoning>\nFinal Answer: 282.48"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:29 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/29, so B = A × (29/3) = 67 × 29/3 = 647.6667.\n</reasoning>\nFinal Answer: 647.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 23 apples and buys 128 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 23 + 128 = 151.\n</reasoning>\nFinal Answer: 151"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [52, 53, 100, 88, 17, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {52: 1, 53: 1, 100: 1, 88: 1, 17: 1, 64: 1}. Most frequent: [52, 53, 100, 88, 17, 64].\n</reasoning>\nFinal Answer: [52, 53, 100, 88, 17, 64]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 26 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 40+676-14=702.\n</reasoning>\nFinal Answer: 702"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-30)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -30² - 4×3×0 = 900. √discriminant = 30. x = (-(-30) ± 30) / (2×3). Solutions: x = 0 or x = 10.\n</reasoning>\nFinal Answer: x = 0 or x = 10"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 102 × 179"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 102 by 179: 102 × 179 = 18258.\n</reasoning>\nFinal Answer: 18258"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 118 ÷ -128"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 118 by -128. 118 ÷ -128 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×20)/1 = 740.\n</reasoning>\nFinal Answer: 740"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 20/17 + 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/17 + 14/16. Common denominator = 136. Result = 279/136.\n</reasoning>\nFinal Answer: 279/136"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 893 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 893 × (1 - 65/100) = 893 × 0.35 = 312.55.\n</reasoning>\nFinal Answer: 312.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [38, 70, 77, 68, 33, 78, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {38: 1, 70: 1, 77: 1, 68: 1, 33: 1, 78: 1, 92: 1}. Most frequent: [38, 70, 77, 68, 33, 78, 92].\n</reasoning>\nFinal Answer: [38, 70, 77, 68, 33, 78... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 7, 8, 11, 13, 14, 19] and B = [5, 6, 9, 13, 15, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 13].\n</reasoning>\nFinal Answer: [5, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [17, 24, 31, 38, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 17 and common difference 7. Next term = 45 + 7 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -65 + 257"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -65 and 257: -65 + 257 = 192.\n</reasoning>\nFinal Answer: 192"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 37, 43, 47, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 37: 1, 43: 1, 47: 1, 39: 1}. Most frequent: [91, 37, 43, 47, 39].\n</reasoning>\nFinal Answer: [91, 37, 43, 47, 39]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 20 apples and buys 85 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 20 + 85 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 14) * (3 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+14)=54, (3-12)=-9, then 54×-9=-486.\n</reasoning>\nFinal Answer: -486"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -24 + -53"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -24 and -53: -24 + -53 = -77.\n</reasoning>\nFinal Answer: -77"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 465 km apart. Their speeds are 61 km/h and 105 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 61+105=166 km/h. Time = 465/166 = 2.8012 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 15) * (38 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+15)=62, (38-7)=31, then 62×31=1922.\n</reasoning>\nFinal Answer: 1922"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/12 - 4/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/12 - 4/10. LCD = 15. Result = 4/15.\n</reasoning>\nFinal Answer: 4/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -23 = -40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 17x = -17. Divide by 17: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:7 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/7, so B = A × (7/3) = 65 × 7/3 = 151.6667.\n</reasoning>\nFinal Answer: 151.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (45)x + (90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 45² - 4×5×90 = 225. √discriminant = 15. x = (-(45) ± 15) / (2×5). Solutions: x = -3 or x = -6.\n</reasoning>\nFinal Answer: x = -3 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
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