messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve: 4x² + (8)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×4×0 = 64. √discriminant = 8. x = (-(8) ± 8) / (2×4). Solutions: x = -2 or x = 0.\n</reasoning>\nFinal Answer: x = -2 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 545 - 624"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 624 from 545: 545 - 624 = -79.\n</reasoning>\nFinal Answer: -79"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 179 apples and buys 65 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 179 + 65 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 0 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 4x = -84. Divide by 4: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 27 and 135."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(27,135) = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 39) * (44 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+39)=81, (44-47)=-3, then 81×-3=-243.\n</reasoning>\nFinal Answer: -243"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 28, 89, 55, 32, 96, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 28: 1, 89: 1, 55: 1, 32: 1, 96: 1, 13: 1}. Most frequent: [57, 28, 89, 55, 32, 96, 13].\n</reasoning>\nFinal Answer: [57, 28, 89, 55, 32, 96... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -439 mod 360"
},
{
"role": "assistant",
"content": "<reasoning>\n-439 mod 360: -439 = 360 × -2 + 281, so remainder = 281.\n</reasoning>\nFinal Answer: 281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 100, 38, 83, 53, 56, 26, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [26, 38, 42, 53, 56, 83, 94, 100]. Middle value(s) → median = 54.5.\n</reasoning>\nFinal Answer: 54.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 44 = -2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 2x = -46. Divide by 2: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:33 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/33, so B = A × (33/26) = 14 × 33/26 = 17.7692.\n</reasoning>\nFinal Answer: 17.7692"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 3/2 * 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/2) × (12/15) = (36/30) = 6/5 after simplification.\n</reasoning>\nFinal Answer: 6/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 21 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 21 = 168 worker-days. New time = 168 / 19 = 8.8421 days.\n</reasoning>\nFinal Answer: 8.8421"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 5 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 25+25-10=40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 47 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+47) × 41 = 1824.5.\n</reasoning>\nFinal Answer: 1824.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [8, 17, 19] and B = [1, 2, 6, 8, 14, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 6, 8, 14, 17, 19].\n</reasoning>\nFinal Answer: [1, 2, 6, 8, 14, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 168 km/h. How far does it travel in 2 hours and 57 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 57/60 = 2.9500 hours. Distance = speed × time = 168 × 2.9500 = 495.6 km.\n</reasoning>\nFinal Answer: 495.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 24 apples and buys 54 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 24 + 54 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/14 + 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/14 + 4/13. Common denominator = 182. Result = 199/182.\n</reasoning>\nFinal Answer: 199/182"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 16 apples and buys 166 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 16 + 166 = 182.\n</reasoning>\nFinal Answer: 182"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:31 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/31, so B = A × (31/41) = 59 × 31/41 = 44.6098.\n</reasoning>\nFinal Answer: 44.6098"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22040 at 13% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22040 × 13 × 5 / 100 = 14326.0.\n</reasoning>\nFinal Answer: 14326.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -264 ÷ 378"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -264 by 378. -264 ÷ 378 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [77, 97, 11, 85, 7, 52, 7, 83, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 7, 11, 44, 52, 77, 83, 85, 97]. Middle value(s) → median = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 8 + 26 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×8=352 and 26×1=26, then add: 378.\n</reasoning>\nFinal Answer: 378"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 917 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 917 × (1 + 15/100) = 917 × 1.15 = 1054.55.\n</reasoning>\nFinal Answer: 1054.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 410 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 410 × (1 - 70/100) = 410 × 0.30000000000000004 = 123.0.\n</reasoning>\nFinal Answer: 123.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -433 mod -923"
},
{
"role": "assistant",
"content": "<reasoning>\n-433 mod -923: -433 = -923 × 0 + -433, so remainder = -433.\n</reasoning>\nFinal Answer: -433"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -35 = 433"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 26x = 468. Divide by 26: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 3 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 3 × 23 = 34.5.\n</reasoning>\nFinal Answer: 34.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "55 is what percentage of 373?"
},
{
"role": "assistant",
"content": "<reasoning>\n(55/373) × 100 = 14.7453%.\n</reasoning>\nFinal Answer: 14.7453%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "3 is what percentage of 59?"
},
{
"role": "assistant",
"content": "<reasoning>\n(3/59) × 100 = 5.0847%.\n</reasoning>\nFinal Answer: 5.0847%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 19/7 - 19/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/7 - 19/9. LCD = 63. Result = 38/63.\n</reasoning>\nFinal Answer: 38/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 42 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 49+1764-31=1782.\n</reasoning>\nFinal Answer: 1782"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 45) * (41 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+45)=47, (41-3)=38, then 47×38=1786.\n</reasoning>\nFinal Answer: 1786"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 768 × 514"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 768 by 514: 768 × 514 = 394752.\n</reasoning>\nFinal Answer: 394752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 13, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (19-1)×13 = 40 + 234 = 274.\n</reasoning>\nFinal Answer: 274"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 + 9/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/15 + 9/8. Common denominator = 24. Result = 43/24.\n</reasoning>\nFinal Answer: 43/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 441 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 441 × (1 - 30/100) = 441 × 0.7 = 308.7.\n</reasoning>\nFinal Answer: 308.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 22 = -518"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 15x = -540. Divide by 15: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 / 16/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/16) ÷ (16/12) = (9/16) × (12/16) = 27/64.\n</reasoning>\nFinal Answer: 27/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 37 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(37+60) = 2×97 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 9/10 / 15/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/10) ÷ (15/14) = (9/10) × (14/15) = 21/25.\n</reasoning>\nFinal Answer: 21/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -318 - -326"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -326 from -318: -318 - -326 = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 * 7/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/15) × (7/8) = (42/120) = 7/20 after simplification.\n</reasoning>\nFinal Answer: 7/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 82 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(82+33) = 2×115 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:11 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/11, so B = A × (11/29) = 38 × 11/29 = 14.4138.\n</reasoning>\nFinal Answer: 14.4138"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18369 at 13% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18369 × 13 × 6 / 100 = 14327.82.\n</reasoning>\nFinal Answer: 14327.82"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [57, 44, 22, 51, 52, 42, 25, 14, 73, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 73 - 14 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 16 = 7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 1x = -9. Divide by 1: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 11 = -565"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 18x = -576. Divide by 18: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹793. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 793 × 12/100 = 95.16. Total = 793 + 95.16 = 888.16.\n</reasoning>\nFinal Answer: 888.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 70 km/h. How far does it travel in 3 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 33/60 = 3.5500 hours. Distance = speed × time = 70 × 3.5500 = 248.5 km.\n</reasoning>\nFinal Answer: 248.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "120 is what percentage of 553?"
},
{
"role": "assistant",
"content": "<reasoning>\n(120/553) × 100 = 21.6998%.\n</reasoning>\nFinal Answer: 21.6998%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -629 × -237"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -629 by -237: -629 × -237 = 149073.\n</reasoning>\nFinal Answer: 149073"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43370 at 1% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43370 × 1 × 2 / 100 = 867.4.\n</reasoning>\nFinal Answer: 867.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 37 = 277"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 30x = 240. Divide by 30: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -215 ÷ -898"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -215 by -898. -215 ÷ -898 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36568 at 15% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36568 × 15 × 10 / 100 = 54852.0.\n</reasoning>\nFinal Answer: 54852.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -961 mod 990"
},
{
"role": "assistant",
"content": "<reasoning>\n-961 mod 990: -961 = 990 × -1 + 29, so remainder = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 24 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 24 = 384 worker-days. New time = 384 / 14 = 27.4286 days.\n</reasoning>\nFinal Answer: 27.4286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 397 km apart. Their speeds are 51 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 51+70=121 km/h. Time = 397/121 = 3.281 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 605 × 789"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 605 by 789: 605 × 789 = 477345.\n</reasoning>\nFinal Answer: 477345"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 4 = -151"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 5x = -155. Divide by 5: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 33 + 33 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×33=1221 and 33×8=264, then add: 1485.\n</reasoning>\nFinal Answer: 1485"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 711 + -675"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 711 and -675: 711 + -675 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 147 km/h. How far does it travel in 10 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 7/60 = 10.1167 hours. Distance = speed × time = 147 × 10.1167 = 1487.15 km.\n</reasoning>\nFinal Answer: 1487.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/3 - 2/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/3 - 2/9. LCD = 9. Result = 43/9.\n</reasoning>\nFinal Answer: 43/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 130 apples and buys 67 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 130 + 67 = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [22, 34, 46, 58, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 22 and common difference 12. Next term = 70 + 12 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 80% of 497?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 497 = (80/100) × 497 = 397.6.\n</reasoning>\nFinal Answer: 397.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 53 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 53 × 61 = 1616.5.\n</reasoning>\nFinal Answer: 1616.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -685 - 714"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 714 from -685: -685 - 714 = -1399.\n</reasoning>\nFinal Answer: -1399"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -969 ÷ 242"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -969 by 242. -969 ÷ 242 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -98 ÷ -882"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -98 by -882. -98 ÷ -882 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 568 - 75"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 75 from 568: 568 - 75 = 493.\n</reasoning>\nFinal Answer: 493"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 81, 32, 47, 20, 8, 13, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 81: 1, 32: 1, 47: 1, 20: 1, 8: 1, 13: 1, 87: 1}. Most frequent: [76, 81, 32, 47, 20, 8, 13, 87].\n</reasoning>\nFinal Answer: [76, 81, 32... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 16, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (43-1)×16 = 46 + 672 = 718.\n</reasoning>\nFinal Answer: 718"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 686 ÷ 51"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 686 by 51. 686 ÷ 51 = 13 (integer division).\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -50 = -30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 4x = 20. Divide by 4: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 49 * 37 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×37=1813, then 6+1813-25=1794.\n</reasoning>\nFinal Answer: 1794"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -39 = 33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 9x = 72. Divide by 9: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -14 = 94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 12x = 108. Divide by 12: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -9 = 511"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 13x = 520. Divide by 13: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 886 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 886 × (1 + 80/100) = 886 × 1.8 = 1594.8.\n</reasoning>\nFinal Answer: 1594.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "130 is what percentage of 632?"
},
{
"role": "assistant",
"content": "<reasoning>\n(130/632) × 100 = 20.5696%.\n</reasoning>\nFinal Answer: 20.5696%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 35, 20, 6, 89, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 6 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [34, 17, 23, 26, 5, 50, 2, 61, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 5, 17, 23, 26, 34, 50, 60, 61]. Middle value(s) → median = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 + 16/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/17 + 16/3. Common denominator = 51. Result = 281/51.\n</reasoning>\nFinal Answer: 281/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 184 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 184 × (1 - 25/100) = 184 × 0.75 = 138.0.\n</reasoning>\nFinal Answer: 138.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 582 mod 273"
},
{
"role": "assistant",
"content": "<reasoning>\n582 mod 273: 582 = 273 × 2 + 36, so remainder = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 57, 23, 36, 68, 50, 17, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 1, 57: 1, 23: 1, 36: 1, 68: 1, 50: 1, 17: 1, 82: 1}. Most frequent: [65, 57, 23, 36, 68, 50, 17, 82].\n</reasoning>\nFinal Answer: [65, 57,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 704 × -12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 704 by -12: 704 × -12 = -8448.\n</reasoning>\nFinal Answer: -8448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 36) * (37 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+36)=42, (37-9)=28, then 42×28=1176.\n</reasoning>\nFinal Answer: 1176"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -410 + -16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -410 and -16: -410 + -16 = -426.\n</reasoning>\nFinal Answer: -426"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -908 mod 712"
},
{
"role": "assistant",
"content": "<reasoning>\n-908 mod 712: -908 = 712 × -2 + 516, so remainder = 516.\n</reasoning>\nFinal Answer: 516"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 7, 8, 10, 15] and B = [1, 6, 11, 12, 14, 16, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 6, 7, 8, 10, 11, 12, 14, 15, 16, 18, 19].\n</reasoning>\nFina... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [81, 71, 38, 14, 74, 34, 29, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 375/8 = 46.875.\n</reasoning>\nFinal Answer: 46.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -36 = -124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 11x = -88. Divide by 11: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:39 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/39, so B = A × (39/1) = 42 × 39/1 = 1638.0.\n</reasoning>\nFinal Answer: 1638.0"
}
] | medium | [
"ratio",
"proportion"
] |
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