messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -370 × 698"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -370 by 698: -370 × 698 = -258260.\n</reasoning>\nFinal Answer: -258260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 329 km apart. Their speeds are 65 km/h and 82 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+82=147 km/h. Time = 329/147 = 2.2381 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -26 = -234"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 8x = -208. Divide by 8: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:47 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/47, so B = A × (47/21) = 38 × 47/21 = 85.0476.\n</reasoning>\nFinal Answer: 85.0476"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 24, 69, 80, 12, 78, 53, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 12 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:10 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/10, so B = A × (10/14) = 97 × 10/14 = 69.2857.\n</reasoning>\nFinal Answer: 69.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/18 / 2/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/18) ÷ (2/12) = (17/18) × (12/2) = 17/3.\n</reasoning>\nFinal Answer: 17/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 119 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(119,26) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 519 - 286"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 286 from 519: 519 - 286 = 233.\n</reasoning>\nFinal Answer: 233"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/2 + 11/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/2 + 11/14. Common denominator = 14. Result = 58/7.\n</reasoning>\nFinal Answer: 58/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 455 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 455 × (1 - 40/100) = 455 × 0.6 = 273.0.\n</reasoning>\nFinal Answer: 273.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41528 at 4% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41528 × 4 × 7 / 100 = 11627.84.\n</reasoning>\nFinal Answer: 11627.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 18, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (10-1)×18 = 42 + 162 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [26, 38, 50, 62, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 26 and common difference 12. Next term = 74 + 12 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 17/3 + 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/3 + 11/16. Common denominator = 48. Result = 305/48.\n</reasoning>\nFinal Answer: 305/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 90 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 90 × 70 = 3150.0.\n</reasoning>\nFinal Answer: 3150.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -47 = 421"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 13x = 468. Divide by 13: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 975 mod 871"
},
{
"role": "assistant",
"content": "<reasoning>\n975 mod 871: 975 = 871 × 1 + 104, so remainder = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -82 + -368"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -82 and -368: -82 + -368 = -450.\n</reasoning>\nFinal Answer: -450"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 11 * 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×2=22, then 11+22-48=-15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 4, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (38-1)×4 = 3 + 148 = 151.\n</reasoning>\nFinal Answer: 151"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:13 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/13, so B = A × (13/11) = 14 × 13/11 = 16.5455.\n</reasoning>\nFinal Answer: 16.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [32, 72, 80, 24, 16, 67, 40, 66, 56, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 510/10 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 15 apples and buys 91 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 15 + 91 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -39 = -53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 2x = -14. Divide by 2: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:46 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/46, so B = A × (46/49) = 1 × 46/49 = 0.9388.\n</reasoning>\nFinal Answer: 0.9388"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 15, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (40-1)×15 = 40 + 585 = 625.\n</reasoning>\nFinal Answer: 625"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -34 = -885"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 23x = -851. Divide by 23: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 40% of 249?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 249 = (40/100) × 249 = 99.6.\n</reasoning>\nFinal Answer: 99.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:50 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/50, so B = A × (50/22) = 39 × 50/22 = 88.6364.\n</reasoning>\nFinal Answer: 88.6364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 28 = -489"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 11x = -517. Divide by 11: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:10 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/10, so B = A × (10/39) = 31 × 10/39 = 7.9487.\n</reasoning>\nFinal Answer: 7.9487"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (22)x + (48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 22² - 4×2×48 = 100. √discriminant = 10. x = (-(22) ± 10) / (2×2). Solutions: x = -3 or x = -8.\n</reasoning>\nFinal Answer: x = -3 or x = -8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -824 + -274"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -824 and -274: -824 + -274 = -1098.\n</reasoning>\nFinal Answer: -1098"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×33)/1 = 1617.\n</reasoning>\nFinal Answer: 1617"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 195 and 128."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(195,128) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 16, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (43-1)×16 = 38 + 672 = 710.\n</reasoning>\nFinal Answer: 710"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 25 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 25 = 125 worker-days. New time = 125 / 3 = 41.6667 days.\n</reasoning>\nFinal Answer: 41.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 423."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 423 by smallest primes repeatedly: 423 = 3 × 3 × 47.\n</reasoning>\nFinal Answer: 3 × 3 × 47"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:28 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/28, so B = A × (28/15) = 82 × 28/15 = 153.0667.\n</reasoning>\nFinal Answer: 153.0667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 194 km/h. How far does it travel in 11 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 18/60 = 11.3000 hours. Distance = speed × time = 194 × 11.3000 = 2192.2 km.\n</reasoning>\nFinal Answer: 2192.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 30 * 9 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×9=270, then 22+270-7=285.\n</reasoning>\nFinal Answer: 285"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 18, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (40-1)×18 = 21 + 702 = 723.\n</reasoning>\nFinal Answer: 723"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 3 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 12 + 18 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×12=144 and 18×19=342, then add: 486.\n</reasoning>\nFinal Answer: 486"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 167 and 138."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(167,138) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 17% of 383?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 383 = (17/100) × 383 = 65.11.\n</reasoning>\nFinal Answer: 65.11"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/12 - 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/12 - 1/16. LCD = 48. Result = 29/48.\n</reasoning>\nFinal Answer: 29/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 41 = -248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 17x = -289. Divide by 17: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹522. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 522 × 12/100 = 62.64. Total = 522 + 62.64 = 584.64.\n</reasoning>\nFinal Answer: 584.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 60 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 60 × 53 = 3180.\n</reasoning>\nFinal Answer: 3180"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 42 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 12+1764-13=1763.\n</reasoning>\nFinal Answer: 1763"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 9, 12, 15, 16] and B = [1, 2, 5, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [16].\n</reasoning>\nFinal Answer: [16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:39 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/39, so B = A × (39/14) = 70 × 39/14 = 195.0.\n</reasoning>\nFinal Answer: 195.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 363 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 363 × (1 + 35/100) = 363 × 1.35 = 490.05.\n</reasoning>\nFinal Answer: 490.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 44 * 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×2=88, then 6+88-26=68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -552 ÷ 425"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -552 by 425. -552 ÷ 425 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -533 ÷ 807"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -533 by 807. -533 ÷ 807 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -3 = -59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 8x = -56. Divide by 8: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 40 km/h. How far does it travel in 12 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 20/60 = 12.3333 hours. Distance = speed × time = 40 × 12.3333 = 493.3333 km.\n</reasoning>\nFinal Answer: 493.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 82 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 82 × 61 = 5002.\n</reasoning>\nFinal Answer: 5002"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43500 at 1% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43500 × 1 × 6 / 100 = 2610.0.\n</reasoning>\nFinal Answer: 2610.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×37)/1 = 1813.\n</reasoning>\nFinal Answer: 1813"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 85 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(85+57) = 2×142 = 284.\n</reasoning>\nFinal Answer: 284"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹3134. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3134 × 12/100 = 376.08. Total = 3134 + 376.08 = 3510.08.\n</reasoning>\nFinal Answer: 3510.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -20 = -260"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 15x = -240. Divide by 15: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 + 13/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/11 + 13/8. Common denominator = 88. Result = 223/88.\n</reasoning>\nFinal Answer: 223/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 20 = 396"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 8x = 376. Divide by 8: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -491 mod -832"
},
{
"role": "assistant",
"content": "<reasoning>\n-491 mod -832: -491 = -832 × 0 + -491, so remainder = -491.\n</reasoning>\nFinal Answer: -491"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -350 mod -650"
},
{
"role": "assistant",
"content": "<reasoning>\n-350 mod -650: -350 = -650 × 0 + -350, so remainder = -350.\n</reasoning>\nFinal Answer: -350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "75 is what percentage of 639?"
},
{
"role": "assistant",
"content": "<reasoning>\n(75/639) × 100 = 11.7371%.\n</reasoning>\nFinal Answer: 11.7371%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 * 14/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/14) × (14/3) = (70/42) = 5/3 after simplification.\n</reasoning>\nFinal Answer: 5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 64 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 64 × 10 = 640.\n</reasoning>\nFinal Answer: 640"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "114 is what percentage of 401?"
},
{
"role": "assistant",
"content": "<reasoning>\n(114/401) × 100 = 28.4289%.\n</reasoning>\nFinal Answer: 28.4289%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 474 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 474 × (1 + 45/100) = 474 × 1.45 = 687.3.\n</reasoning>\nFinal Answer: 687.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -291 + -454"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -291 and -454: -291 + -454 = -745.\n</reasoning>\nFinal Answer: -745"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 210 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 210 × (1 - 90/100) = 210 × 0.09999999999999998 = 21.0.\n</reasoning>\nFinal Answer: 21.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 42, 33, 41, 25, 82, 59, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 321/8 = 40.125.\n</reasoning>\nFinal Answer: 40.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 3/10 / 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/10) ÷ (1/16) = (3/10) × (16/1) = 24/5.\n</reasoning>\nFinal Answer: 24/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -909 + 815"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -909 and 815: -909 + 815 = -94.\n</reasoning>\nFinal Answer: -94"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 755 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 755 × (1 + 45/100) = 755 × 1.45 = 1094.75.\n</reasoning>\nFinal Answer: 1094.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 10 = 118"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 18x = 108. Divide by 18: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 417 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 417 × (1 + 17/100) = 417 × 1.17 = 487.89.\n</reasoning>\nFinal Answer: 487.89"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "128 is what percentage of 491?"
},
{
"role": "assistant",
"content": "<reasoning>\n(128/491) × 100 = 26.0692%.\n</reasoning>\nFinal Answer: 26.0692%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 82 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 82 × 91 = 7462.\n</reasoning>\nFinal Answer: 7462"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/4 * 17/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/4) × (17/2) = (170/8) = 85/4 after simplification.\n</reasoning>\nFinal Answer: 85/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 839 km apart. Their speeds are 43 km/h and 77 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 43+77=120 km/h. Time = 839/120 = 6.9917 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 50 * 46 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 50×46=2300, then 9+2300-40=2269.\n</reasoning>\nFinal Answer: 2269"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 48) * (37 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+48)=57, (37-27)=10, then 57×10=570.\n</reasoning>\nFinal Answer: 570"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 89 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(89+78) = 2×167 = 334.\n</reasoning>\nFinal Answer: 334"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [17, 25, 90, 89, 90, 83, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 420/7 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32834 at 5% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32834 × 5 × 6 / 100 = 9850.2.\n</reasoning>\nFinal Answer: 9850.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 22 = 143.0.\n</reasoning>\nFinal Answer: 143.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 497 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 497 × (1 - 20/100) = 497 × 0.8 = 397.6.\n</reasoning>\nFinal Answer: 397.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:16 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/16, so B = A × (16/30) = 56 × 16/30 = 29.8667.\n</reasoning>\nFinal Answer: 29.8667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -376 + -715"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -376 and -715: -376 + -715 = -1091.\n</reasoning>\nFinal Answer: -1091"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 42 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 2+1764-41=1725.\n</reasoning>\nFinal Answer: 1725"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 14 * 39 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×39=546, then 40+546-12=574.\n</reasoning>\nFinal Answer: 574"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:49 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/49, so B = A × (49/6) = 28 × 49/6 = 228.6667.\n</reasoning>\nFinal Answer: 228.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -622 - -292"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -292 from -622: -622 - -292 = -330.\n</reasoning>\nFinal Answer: -330"
}
] | medium | [
"arithmetic",
"computation"
] |
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