messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 1:12 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/12, so B = A × (12/1) = 25 × 12/1 = 300.0.\n</reasoning>\nFinal Answer: 300.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 36 = 23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 13x = -13. Divide by 13: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 100% of 628?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 628 = (100/100) × 628 = 628.0.\n</reasoning>\nFinal Answer: 628.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 18 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 18 × 87 = 783.0.\n</reasoning>\nFinal Answer: 783.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 682 ÷ -194"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 682 by -194. 682 ÷ -194 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 6, 13, 15, 18] and B = [4, 7, 9, 10, 11, 13, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3, 6, 15].\n</reasoning>\nFinal Answer: [1, 3, 6, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 94 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(94+23) = 2×117 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -432 + 802"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -432 and 802: -432 + 802 = 370.\n</reasoning>\nFinal Answer: 370"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -665 + 588"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -665 and 588: -665 + 588 = -77.\n</reasoning>\nFinal Answer: -77"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -60 × 290"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -60 by 290: -60 × 290 = -17400.\n</reasoning>\nFinal Answer: -17400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 75% of 518?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 518 = (75/100) × 518 = 388.5.\n</reasoning>\nFinal Answer: 388.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 17 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 17 × 1 = 17.\n</reasoning>\nFinal Answer: 17"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 * 16/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/16) × (16/3) = (224/48) = 14/3 after simplification.\n</reasoning>\nFinal Answer: 14/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 281 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 281 × (1 + 70/100) = 281 × 1.7 = 477.7.\n</reasoning>\nFinal Answer: 477.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -908 mod 836"
},
{
"role": "assistant",
"content": "<reasoning>\n-908 mod 836: -908 = 836 × -2 + 764, so remainder = 764.\n</reasoning>\nFinal Answer: 764"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "50 is what percentage of 85?"
},
{
"role": "assistant",
"content": "<reasoning>\n(50/85) × 100 = 58.8235%.\n</reasoning>\nFinal Answer: 58.8235%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 870 mod 117"
},
{
"role": "assistant",
"content": "<reasoning>\n870 mod 117: 870 = 117 × 7 + 51, so remainder = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:27 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/27, so B = A × (27/28) = 67 × 27/28 = 64.6071.\n</reasoning>\nFinal Answer: 64.6071"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:21 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/21, so B = A × (21/14) = 24 × 21/14 = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 32 + 18 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×32=832 and 18×18=324, then add: 1156.\n</reasoning>\nFinal Answer: 1156"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 / 13/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/19) ÷ (13/10) = (17/19) × (10/13) = 170/247.\n</reasoning>\nFinal Answer: 170/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 30 and common difference 10, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 30 + (32-1)×10 = 30 + 310 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 24 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(24+87) = 2×111 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 31 + 4 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×31=310 and 4×17=68, then add: 378.\n</reasoning>\nFinal Answer: 378"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 351."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 351 by smallest primes repeatedly: 351 = 3 × 3 × 3 × 13.\n</reasoning>\nFinal Answer: 3 × 3 × 3 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 181 mod -306"
},
{
"role": "assistant",
"content": "<reasoning>\n181 mod -306: 181 = -306 × -1 + -125, so remainder = -125.\n</reasoning>\nFinal Answer: -125"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 98, 78, 57, 6, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 6 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [81, 21, 45, 65, 51, 68, 68, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 21 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 197 apples and buys 78 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 197 + 78 = 275.\n</reasoning>\nFinal Answer: 275"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 964 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 964 × (1 - 40/100) = 964 × 0.6 = 578.4.\n</reasoning>\nFinal Answer: 578.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -634 ÷ -19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -634 by -19. -634 ÷ -19 = 33 (integer division).\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 7] and B = [5, 9, 13, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 6, 7].\n</reasoning>\nFinal Answer: [3, 6, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 21, 42, 6, 29, 80, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 294/7 = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:39 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/39, so B = A × (39/25) = 15 × 39/25 = 23.4.\n</reasoning>\nFinal Answer: 23.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -453 - 293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 293 from -453: -453 - 293 = -746.\n</reasoning>\nFinal Answer: -746"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3460. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3460 × 18/100 = 622.8. Total = 3460 + 622.8 = 4082.8.\n</reasoning>\nFinal Answer: 4082.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:30 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/30, so B = A × (30/12) = 62 × 30/12 = 155.0.\n</reasoning>\nFinal Answer: 155.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 22) * (33 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+22)=28, (33-17)=16, then 28×16=448.\n</reasoning>\nFinal Answer: 448"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 11) * (27 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+11)=48, (27-3)=24, then 48×24=1152.\n</reasoning>\nFinal Answer: 1152"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 36 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 36 × 2 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -24 = -241"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 7x = -217. Divide by 7: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 142 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(142,11) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -259 mod 132"
},
{
"role": "assistant",
"content": "<reasoning>\n-259 mod 132: -259 = 132 × -2 + 5, so remainder = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 - 7/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/13 - 7/13. LCD = 13. Result = 12/13.\n</reasoning>\nFinal Answer: 12/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/11 * 3/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/11) × (3/12) = (27/132) = 9/44 after simplification.\n</reasoning>\nFinal Answer: 9/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -40 = 604"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 28x = 644. Divide by 28: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -561 mod -979"
},
{
"role": "assistant",
"content": "<reasoning>\n-561 mod -979: -561 = -979 × 0 + -561, so remainder = -561.\n</reasoning>\nFinal Answer: -561"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×41)/1 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 21 + 17 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×21=399 and 17×1=17, then add: 416.\n</reasoning>\nFinal Answer: 416"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 + 17/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/1 + 17/16. Common denominator = 16. Result = 257/16.\n</reasoning>\nFinal Answer: 257/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 47 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 23+2209-10=2222.\n</reasoning>\nFinal Answer: 2222"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:4 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/4, so B = A × (4/48) = 9 × 4/48 = 0.75.\n</reasoning>\nFinal Answer: 0.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 75, 30, 44, 28, 13, 98, 83, 8, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 75: 1, 30: 1, 44: 1, 28: 1, 13: 1, 98: 1, 83: 1, 8: 1, 47: 1}. Most frequent: [57, 75, 30, 44, 28, 13, 98, 83, 8, 47].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 14/19 * 8/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/19) × (8/7) = (112/133) = 16/19 after simplification.\n</reasoning>\nFinal Answer: 16/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 457 - 679"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 679 from 457: 457 - 679 = -222.\n</reasoning>\nFinal Answer: -222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/6 / 17/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/6) ÷ (17/6) = (15/6) × (6/17) = 15/17.\n</reasoning>\nFinal Answer: 15/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 3 = -813"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 24x = -816. Divide by 24: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "List all positive factors of 47."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 47: factors are [1, 47].\n</reasoning>\nFinal Answer: [1, 47]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 * 48 + 49 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 4×48=192 and 49×1=49, then add: 241.\n</reasoning>\nFinal Answer: 241"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [34, 50, 99, 32, 36, 98, 65, 99, 87, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 32 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 47 = 553"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 22x = 506. Divide by 22: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 34) * (42 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+34)=56, (42-42)=0, then 56×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 111 km/h. How far does it travel in 7 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 21/60 = 7.3500 hours. Distance = speed × time = 111 × 7.3500 = 815.85 km.\n</reasoning>\nFinal Answer: 815.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 4 + 24 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×4=156 and 24×7=168, then add: 324.\n</reasoning>\nFinal Answer: 324"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/3 * 15/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/3) × (15/20) = (300/60) = 5 after simplification.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 40% of 811?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 811 = (40/100) × 811 = 324.4.\n</reasoning>\nFinal Answer: 324.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [40, 61, 50, 88, 16, 2, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {40: 1, 61: 1, 50: 1, 88: 1, 16: 1, 2: 1, 49: 1}. Most frequent: [40, 61, 50, 88, 16, 2, 49].\n</reasoning>\nFinal Answer: [40, 61, 50, 88, 16, 2, 49... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 26 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 26 = 468 worker-days. New time = 468 / 19 = 24.6316 days.\n</reasoning>\nFinal Answer: 24.6316"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find log base 10 of 100000."
},
{
"role": "assistant",
"content": "<reasoning>\nlog_10(100000) = 5 because 10^5 = 100000.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"logarithms"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 43 = -119"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 6x = -162. Divide by 6: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 66."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 66 by smallest primes repeatedly: 66 = 2 × 3 × 11.\n</reasoning>\nFinal Answer: 2 × 3 × 11"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 79 ÷ 243"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 79 by 243. 79 ÷ 243 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 378."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 378 by smallest primes repeatedly: 378 = 2 × 3 × 3 × 3 × 7.\n</reasoning>\nFinal Answer: 2 × 3 × 3 × 3 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Ravi has 140 apples and buys 27 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 140 + 27 = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 380 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 380 × (1 - 75/100) = 380 × 0.25 = 95.0.\n</reasoning>\nFinal Answer: 95.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 73 = 5110.\n</reasoning>\nFinal Answer: 5110"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16499 at 16% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16499 × 16 × 2 / 100 = 5279.68.\n</reasoning>\nFinal Answer: 5279.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 55 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 55 × 68 = 3740.\n</reasoning>\nFinal Answer: 3740"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [18, 32, 46, 60, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 18 and common difference 14. Next term = 74 + 14 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -843 × -310"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -843 by -310: -843 × -310 = 261330.\n</reasoning>\nFinal Answer: 261330"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 5 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 5 = 100 worker-days. New time = 100 / 9 = 11.1111 days.\n</reasoning>\nFinal Answer: 11.1111"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 22 = 61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 3x = 39. Divide by 3: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:22 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/22, so B = A × (22/33) = 54 × 22/33 = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 26 and width 14."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(26+14) = 2×40 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [2, 89, 100, 29, 20, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {2: 1, 89: 1, 100: 1, 29: 1, 20: 1, 27: 1}. Most frequent: [2, 89, 100, 29, 20, 27].\n</reasoning>\nFinal Answer: [2, 89, 100, 29, 20, 27]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 74 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 74 × 67 = 2479.0.\n</reasoning>\nFinal Answer: 2479.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 12 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+12) × 42 = 777.0.\n</reasoning>\nFinal Answer: 777.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 / 14/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/9) ÷ (14/4) = (12/9) × (4/14) = 8/21.\n</reasoning>\nFinal Answer: 8/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 957 + -133"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 957 and -133: 957 + -133 = 824.\n</reasoning>\nFinal Answer: 824"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -69 ÷ -487"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -69 by -487. -69 ÷ -487 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 486?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 486 = (15/100) × 486 = 72.9.\n</reasoning>\nFinal Answer: 72.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 7, 9, 11, 14, 15, 19] and B = [1, 2, 3, 4, 5, 9, 11, 13], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 4, 9, 11].\n</reasoning>\nFinal Answer: [1, 4, 9, 11]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 961 km apart. Their speeds are 100 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 100+101=201 km/h. Time = 961/201 = 4.7811 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 394 + -634"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 394 and -634: 394 + -634 = -240.\n</reasoning>\nFinal Answer: -240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 382 mod 373"
},
{
"role": "assistant",
"content": "<reasoning>\n382 mod 373: 382 = 373 × 1 + 9, so remainder = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 84 apples and buys 167 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 84 + 167 = 251.\n</reasoning>\nFinal Answer: 251"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:14 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/14, so B = A × (14/5) = 6 × 14/5 = 16.8.\n</reasoning>\nFinal Answer: 16.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 25% of 525?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 525 = (25/100) × 525 = 131.25.\n</reasoning>\nFinal Answer: 131.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 734 ÷ 822"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 734 by 822. 734 ÷ 822 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 495 - -556"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -556 from 495: 495 - -556 = 1051.\n</reasoning>\nFinal Answer: 1051"
}
] | medium | [
"arithmetic",
"computation"
] |
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