messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 37) * (24 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+37)=43, (24-4)=20, then 43×20=860.\n</reasoning>\nFinal Answer: 860"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 965 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 965 × (1 - 80/100) = 965 × 0.19999999999999996 = 193.0.\n</reasoning>\nFinal Answer: 193.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 22 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+22) × 26 = 637.0.\n</reasoning>\nFinal Answer: 637.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 168."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 168 by smallest primes repeatedly: 168 = 2 × 2 × 2 × 3 × 7.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 3 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 26, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 26 + 39 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 948 - -774"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -774 from 948: 948 - -774 = 1722.\n</reasoning>\nFinal Answer: 1722"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [8, 25, 42, 59, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 8 and common difference 17. Next term = 76 + 17 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 7 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 7 = 105 worker-days. New time = 105 / 15 = 7.0 days.\n</reasoning>\nFinal Answer: 7.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 123 + 361"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 123 and 361: 123 + 361 = 484.\n</reasoning>\nFinal Answer: 484"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -140 ÷ -608"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -140 by -608. -140 ÷ -608 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -747 × 241"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -747 by 241: -747 × 241 = -180027.\n</reasoning>\nFinal Answer: -180027"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 / 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/5) ÷ (10/13) = (16/5) × (13/10) = 104/25.\n</reasoning>\nFinal Answer: 104/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/1 + 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/1 + 1/14. Common denominator = 14. Result = 183/14.\n</reasoning>\nFinal Answer: 183/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [15, 100, 79, 68, 66, 17, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 17, 66, 68, 69, 79, 100]. Middle value(s) → median = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:24 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/24, so B = A × (24/47) = 88 × 24/47 = 44.9362.\n</reasoning>\nFinal Answer: 44.9362"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -17 = -533"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 12x = -516. Divide by 12: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 409."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 409 by smallest primes repeatedly: 409 = 409.\n</reasoning>\nFinal Answer: 409"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 38) * (37 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+38)=78, (37-39)=-2, then 78×-2=-156.\n</reasoning>\nFinal Answer: -156"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 18 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 16+324-33=307.\n</reasoning>\nFinal Answer: 307"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 9 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 9 × 15 = 135.\n</reasoning>\nFinal Answer: 135"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "292 is what percentage of 461?"
},
{
"role": "assistant",
"content": "<reasoning>\n(292/461) × 100 = 63.3406%.\n</reasoning>\nFinal Answer: 63.3406%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -300 + 87"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -300 and 87: -300 + 87 = -213.\n</reasoning>\nFinal Answer: -213"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹996. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 996 × 28/100 = 278.88. Total = 996 + 278.88 = 1274.88.\n</reasoning>\nFinal Answer: 1274.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate: 4^4"
},
{
"role": "assistant",
"content": "<reasoning>\n4^4 = 4 × 4 × 4 × 4 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 26 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (26×27)/1 = 702.\n</reasoning>\nFinal Answer: 702"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 9 = 93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 3x = 84. Divide by 3: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 20, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (30-1)×20 = 43 + 580 = 623.\n</reasoning>\nFinal Answer: 623"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:15 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/15, so B = A × (15/43) = 73 × 15/43 = 25.4651.\n</reasoning>\nFinal Answer: 25.4651"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 3, 67, 35, 64, 62, 47, 84, 2, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 2 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 10, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (14-1)×10 = 2 + 130 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 37 = 1333"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 27x = 1296. Divide by 27: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 43 and height 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 43 × 90 = 3870.\n</reasoning>\nFinal Answer: 3870"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 25, 80, 48, 59, 14, 70, 2, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 25: 1, 80: 1, 48: 1, 59: 1, 14: 1, 70: 1, 2: 1, 56: 1}. Most frequent: [37, 25, 80, 48, 59, 14, 70, 2, 56].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 157 × 420"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 157 by 420: 157 × 420 = 65940.\n</reasoning>\nFinal Answer: 65940"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 36) * (21 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+36)=86, (21-17)=4, then 86×4=344.\n</reasoning>\nFinal Answer: 344"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 561 mod 95"
},
{
"role": "assistant",
"content": "<reasoning>\n561 mod 95: 561 = 95 × 5 + 86, so remainder = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 180 apples and buys 81 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 180 + 81 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:19 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/19, so B = A × (19/37) = 31 × 19/37 = 15.9189.\n</reasoning>\nFinal Answer: 15.9189"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 - 16/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/20 - 16/2. LCD = 20. Result = -157/20.\n</reasoning>\nFinal Answer: -157/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -21 = -661"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 20x = -640. Divide by 20: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 5 + 34 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×5=225 and 34×48=1632, then add: 1857.\n</reasoning>\nFinal Answer: 1857"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 20 = 650"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 30x = 630. Divide by 30: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹194. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 194 × 28/100 = 54.32. Total = 194 + 54.32 = 248.32.\n</reasoning>\nFinal Answer: 248.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 9 + 29 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×9=225 and 29×26=754, then add: 979.\n</reasoning>\nFinal Answer: 979"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:37 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/37, so B = A × (37/36) = 64 × 37/36 = 65.7778.\n</reasoning>\nFinal Answer: 65.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 144 - -161"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -161 from 144: 144 - -161 = 305.\n</reasoning>\nFinal Answer: 305"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [69, 38, 63, 7, 91, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 7 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹619. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 619 × 28/100 = 173.32. Total = 619 + 173.32 = 792.32.\n</reasoning>\nFinal Answer: 792.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -784 + 360"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -784 and 360: -784 + 360 = -424.\n</reasoning>\nFinal Answer: -424"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 35 + 12 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×35=1680 and 12×28=336, then add: 2016.\n</reasoning>\nFinal Answer: 2016"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 28 apples and buys 14 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 28 + 14 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 298 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 298 × (1 - 70/100) = 298 × 0.30000000000000004 = 89.4.\n</reasoning>\nFinal Answer: 89.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -227 + 902"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -227 and 902: -227 + 902 = 675.\n</reasoning>\nFinal Answer: 675"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 + 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/17 + 13/18. Common denominator = 306. Result = 563/306.\n</reasoning>\nFinal Answer: 563/306"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 747 × 810"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 747 by 810: 747 × 810 = 605070.\n</reasoning>\nFinal Answer: 605070"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 19 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 46+361-8=399.\n</reasoning>\nFinal Answer: 399"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 53 apples and buys 146 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 53 + 146 = 199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 18 mod 340"
},
{
"role": "assistant",
"content": "<reasoning>\n18 mod 340: 18 = 340 × 0 + 18, so remainder = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 67 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 67 × 2 = 67.0.\n</reasoning>\nFinal Answer: 67.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 - 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/7 - 19/16. LCD = 112. Result = 155/112.\n</reasoning>\nFinal Answer: 155/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 - 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/7 - 16/8. LCD = 7. Result = -4/7.\n</reasoning>\nFinal Answer: -4/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (0)x + (-64) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×4×-64 = 1024. √discriminant = 32. x = (-(0) ± 32) / (2×4). Solutions: x = 4 or x = -4.\n</reasoning>\nFinal Answer: x = 4 or x = -4"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 40 * 41 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×41=1640, then 17+1640-13=1644.\n</reasoning>\nFinal Answer: 1644"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/13 / 17/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/13) ÷ (17/1) = (16/13) × (1/17) = 16/221.\n</reasoning>\nFinal Answer: 16/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:14 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/14, so B = A × (14/6) = 6 × 14/6 = 14.0.\n</reasoning>\nFinal Answer: 14.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 47 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+47) × 3 = 118.5.\n</reasoning>\nFinal Answer: 118.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 116 ÷ -68"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 116 by -68. 116 ÷ -68 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 42 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+42) × 47 = 1504.0.\n</reasoning>\nFinal Answer: 1504.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹519. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 519 × 5/100 = 25.95. Total = 519 + 25.95 = 544.95.\n</reasoning>\nFinal Answer: 544.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 622 km apart. Their speeds are 72 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+98=170 km/h. Time = 622/170 = 3.6588 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 - 7/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/16 - 7/8. LCD = 16. Result = -1/16.\n</reasoning>\nFinal Answer: -1/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 635?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 635 = (80/100) × 635 = 508.0.\n</reasoning>\nFinal Answer: 508.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -244 + 257"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -244 and 257: -244 + 257 = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -599 mod -434"
},
{
"role": "assistant",
"content": "<reasoning>\n-599 mod -434: -599 = -434 × 1 + -165, so remainder = -165.\n</reasoning>\nFinal Answer: -165"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 40) * (24 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+40)=49, (24-4)=20, then 49×20=980.\n</reasoning>\nFinal Answer: 980"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 632 × 136"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 632 by 136: 632 × 136 = 85952.\n</reasoning>\nFinal Answer: 85952"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 84 and 143."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(84,143) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 963 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 963 × (1 + 65/100) = 963 × 1.65 = 1588.95.\n</reasoning>\nFinal Answer: 1588.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/1 / 12/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/1) ÷ (12/14) = (2/1) × (14/12) = 7/3.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 8 + 36 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×8=184 and 36×38=1368, then add: 1552.\n</reasoning>\nFinal Answer: 1552"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 144 apples and buys 193 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 144 + 193 = 337.\n</reasoning>\nFinal Answer: 337"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -10 = -784"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 18x = -774. Divide by 18: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:17 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/17, so B = A × (17/9) = 80 × 17/9 = 151.1111.\n</reasoning>\nFinal Answer: 151.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 97 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(97+33) = 2×130 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:48 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/48, so B = A × (48/41) = 20 × 48/41 = 23.4146.\n</reasoning>\nFinal Answer: 23.4146"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 23 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 23 = 345 worker-days. New time = 345 / 7 = 49.2857 days.\n</reasoning>\nFinal Answer: 49.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-48)x + (128) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -48² - 4×4×128 = 256. √discriminant = 16. x = (-(-48) ± 16) / (2×4). Solutions: x = 4 or x = 8.\n</reasoning>\nFinal Answer: x = 4 or x = 8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-4)x + (-168) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -4² - 4×4×-168 = 2704. √discriminant = 52. x = (-(-4) ± 52) / (2×4). Solutions: x = 7 or x = -6.\n</reasoning>\nFinal Answer: x = 7 or x = -6"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 47 = 1262"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 27x = 1215. Divide by 27: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 7% of 345?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 345 = (7/100) × 345 = 24.15.\n</reasoning>\nFinal Answer: 24.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 41 and 173."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(41,173) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [45, 36, 43, 3, 19, 44, 14, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {45: 1, 36: 1, 43: 1, 3: 1, 19: 1, 44: 1, 14: 1, 42: 1}. Most frequent: [45, 36, 43, 3, 19, 44, 14, 42].\n</reasoning>\nFinal Answer: [45, 36, 43... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 104 apples and buys 93 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 104 + 93 = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 2 + 30 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×2=24 and 30×9=270, then add: 294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 33, 25 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (33+25) × 27 = 783.0.\n</reasoning>\nFinal Answer: 783.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "153 is what percentage of 679?"
},
{
"role": "assistant",
"content": "<reasoning>\n(153/679) × 100 = 22.5331%.\n</reasoning>\nFinal Answer: 22.5331%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -14 = -245"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 11x = -231. Divide by 11: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 151 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(151,21) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 81."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 81 by smallest primes repeatedly: 81 = 3 × 3 × 3 × 3.\n</reasoning>\nFinal Answer: 3 × 3 × 3 × 3"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 63 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(63+19) = 2×82 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | easy | [
"geometry",
"perimeter"
] |
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