messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 9:41 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/41, so B = A × (41/9) = 86 × 41/9 = 391.7778.\n</reasoning>\nFinal Answer: 391.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:3 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/3, so B = A × (3/31) = 11 × 3/31 = 1.0645.\n</reasoning>\nFinal Answer: 1.0645"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 13, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (37-1)×13 = 9 + 468 = 477.\n</reasoning>\nFinal Answer: 477"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "171 is what percentage of 675?"
},
{
"role": "assistant",
"content": "<reasoning>\n(171/675) × 100 = 25.3333%.\n</reasoning>\nFinal Answer: 25.3333%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29212 at 10% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29212 × 10 × 7 / 100 = 20448.4.\n</reasoning>\nFinal Answer: 20448.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 2 + 18 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×2=10 and 18×7=126, then add: 136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 79 km/h. How far does it travel in 8 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 27/60 = 8.4500 hours. Distance = speed × time = 79 × 8.4500 = 667.55 km.\n</reasoning>\nFinal Answer: 667.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 53 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 53 × 39 = 2067.\n</reasoning>\nFinal Answer: 2067"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "62 is what percentage of 187?"
},
{
"role": "assistant",
"content": "<reasoning>\n(62/187) × 100 = 33.1551%.\n</reasoning>\nFinal Answer: 33.1551%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 835 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 835 × (1 - 60/100) = 835 × 0.4 = 334.0.\n</reasoning>\nFinal Answer: 334.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -40 + 565"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -40 and 565: -40 + 565 = 525.\n</reasoning>\nFinal Answer: 525"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -40 = 378"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 11x = 418. Divide by 11: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 47 = 87"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 5x = 40. Divide by 5: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 4 = 244"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 15x = 240. Divide by 15: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 8, 11, 12, 15, 16, 17] and B = [4, 5, 7, 9, 15, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 6, 7, 8, 9, 11, 12, 16, 19].\n</rea... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 - 2/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/6 - 2/10. LCD = 5. Result = 9/5.\n</reasoning>\nFinal Answer: 9/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 103 ÷ -846"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 103 by -846. 103 ÷ -846 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -238 - 802"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 802 from -238: -238 - 802 = -1040.\n</reasoning>\nFinal Answer: -1040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 - 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/7 - 4/3. LCD = 21. Result = 20/21.\n</reasoning>\nFinal Answer: 20/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 762 km apart. Their speeds are 90 km/h and 93 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 90+93=183 km/h. Time = 762/183 = 4.1639 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 132 and 56."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(132,56) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21285 at 20% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21285 × 20 × 3 / 100 = 12771.0.\n</reasoning>\nFinal Answer: 12771.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 538 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 538 × (1 + 17/100) = 538 × 1.17 = 629.46.\n</reasoning>\nFinal Answer: 629.46"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 164 apples and buys 48 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 164 + 48 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2156. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2156 × 18/100 = 388.08. Total = 2156 + 388.08 = 2544.08.\n</reasoning>\nFinal Answer: 2544.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 349 mod 244"
},
{
"role": "assistant",
"content": "<reasoning>\n349 mod 244: 349 = 244 × 1 + 105, so remainder = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 689 × 195"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 689 by 195: 689 × 195 = 134355.\n</reasoning>\nFinal Answer: 134355"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -467 × 102"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -467 by 102: -467 × 102 = -47634.\n</reasoning>\nFinal Answer: -47634"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 543 × 226"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 543 by 226: 543 × 226 = 122718.\n</reasoning>\nFinal Answer: 122718"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [40, 82, 33, 41, 66, 34, 76, 52, 97, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 591/10 = 59.1.\n</reasoning>\nFinal Answer: 59.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 41 = -143"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 23x = -184. Divide by 23: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 236 × 929"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 236 by 929: 236 × 929 = 219244.\n</reasoning>\nFinal Answer: 219244"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -38 = 25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 3x = 63. Divide by 3: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [3, 49, 31, 89, 19, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 1 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:32 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/32, so B = A × (32/40) = 33 × 32/40 = 26.4.\n</reasoning>\nFinal Answer: 26.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 16, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (45-1)×16 = 1 + 704 = 705.\n</reasoning>\nFinal Answer: 705"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 36 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 36 × 1 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -25 = -90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 13x = -65. Divide by 13: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/7 - 1/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/7 - 1/9. LCD = 63. Result = 38/63.\n</reasoning>\nFinal Answer: 38/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 24 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 24 = 240 worker-days. New time = 240 / 20 = 12.0 days.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 100% of 617?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 617 = (100/100) × 617 = 617.0.\n</reasoning>\nFinal Answer: 617.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 833 ÷ 63"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 833 by 63. 833 ÷ 63 = 13 (integer division).\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 997 km apart. Their speeds are 41 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+115=156 km/h. Time = 997/156 = 6.391 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -956 × 526"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -956 by 526: -956 × 526 = -502856.\n</reasoning>\nFinal Answer: -502856"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 752 + -694"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 752 and -694: 752 + -694 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 17, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (39-1)×17 = 33 + 646 = 679.\n</reasoning>\nFinal Answer: 679"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -817 + -832"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -817 and -832: -817 + -832 = -1649.\n</reasoning>\nFinal Answer: -1649"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 43 = 523"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 16x = 480. Divide by 16: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -768 ÷ -110"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -768 by -110. -768 ÷ -110 = 6 (integer division).\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 407."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 407 by smallest primes repeatedly: 407 = 11 × 37.\n</reasoning>\nFinal Answer: 11 × 37"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 67 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(67+7) = 2×74 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -218 - -28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from -218: -218 - -28 = -190.\n</reasoning>\nFinal Answer: -190"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 26 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 26 = 286 worker-days. New time = 286 / 18 = 15.8889 days.\n</reasoning>\nFinal Answer: 15.8889"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 826 - -800"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -800 from 826: 826 - -800 = 1626.\n</reasoning>\nFinal Answer: 1626"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -100 × -684"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -100 by -684: -100 × -684 = 68400.\n</reasoning>\nFinal Answer: 68400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/9 / 15/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/9) ÷ (15/15) = (14/9) × (15/15) = 14/9.\n</reasoning>\nFinal Answer: 14/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 23 = -241"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 22x = -264. Divide by 22: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 222 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 222 × (1 - 75/100) = 222 × 0.25 = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 13, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (35-1)×13 = 9 + 442 = 451.\n</reasoning>\nFinal Answer: 451"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 676 - -603"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -603 from 676: 676 - -603 = 1279.\n</reasoning>\nFinal Answer: 1279"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 411 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 411 × (1 + 40/100) = 411 × 1.4 = 575.4.\n</reasoning>\nFinal Answer: 575.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 9] and B = [1, 3, 14, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [9].\n</reasoning>\nFinal Answer: [9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 17 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+17) × 25 = 275.0.\n</reasoning>\nFinal Answer: 275.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 988 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 988 × (1 - 3/100) = 988 × 0.97 = 958.36.\n</reasoning>\nFinal Answer: 958.36"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 16, and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 16 + 20 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 83 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(83+36) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [84, 29, 81, 69, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [29, 57, 69, 81, 84]. Middle value(s) → median = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 5, 11, 14, 17, 19] and B = [10, 12, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 5, 10, 11, 12, 14, 15, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 2... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 3% of 82?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 82 = (3/100) × 82 = 2.46.\n</reasoning>\nFinal Answer: 2.46"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/3 - 15/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/3 - 15/15. LCD = 3. Result = 14/3.\n</reasoning>\nFinal Answer: 14/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -158 × 292"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -158 by 292: -158 × 292 = -46136.\n</reasoning>\nFinal Answer: -46136"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -896 ÷ 296"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -896 by 296. -896 ÷ 296 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 473 mod 234"
},
{
"role": "assistant",
"content": "<reasoning>\n473 mod 234: 473 = 234 × 2 + 5, so remainder = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 10 = 333"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 17x = 323. Divide by 17: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49512 at 18% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49512 × 18 × 3 / 100 = 26736.48.\n</reasoning>\nFinal Answer: 26736.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -12 = -582"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 15x = -570. Divide by 15: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -21 = -645"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 13x = -624. Divide by 13: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 33, 79, 69, 21, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 305/6 = 50.8333.\n</reasoning>\nFinal Answer: 50.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -17 = 71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 11x = 88. Divide by 11: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 20 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 6+400-24=382.\n</reasoning>\nFinal Answer: 382"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -47 = -23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 24x = 24. Divide by 24: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 172 km/h. How far does it travel in 10 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 1/60 = 10.0167 hours. Distance = speed × time = 172 × 10.0167 = 1722.8667 km.\n</reasoning>\nFinal Answer: 1722.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 264 mod 114"
},
{
"role": "assistant",
"content": "<reasoning>\n264 mod 114: 264 = 114 × 2 + 36, so remainder = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 114 and 160."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(114,160) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 44 = 1332"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 28x = 1288. Divide by 28: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 26 = 138"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 28x = 112. Divide by 28: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:11 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/11, so B = A × (11/22) = 68 × 11/22 = 34.0.\n</reasoning>\nFinal Answer: 34.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 540 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 540 × (1 - 100/100) = 540 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -19 = -53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 17x = -34. Divide by 17: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 42 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+42) × 27 = 1107.0.\n</reasoning>\nFinal Answer: 1107.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 * 8/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/19) × (8/7) = (72/133) = 72/133 after simplification.\n</reasoning>\nFinal Answer: 72/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 39 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(39+43) = 2×82 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:8 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/8, so B = A × (8/24) = 35 × 8/24 = 11.6667.\n</reasoning>\nFinal Answer: 11.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 21 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+21) × 43 = 1225.5.\n</reasoning>\nFinal Answer: 1225.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 37 and 79."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(37,79) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -30 = -117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 3x = -87. Divide by 3: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 19 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 19 × 53 = 1007.\n</reasoning>\nFinal Answer: 1007"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 16] and B = [1, 13, 14, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [9, 13, 14, 16, 18].\n</reasoning>\nFinal Answer: [9, 13, 14, 16, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -2 = 1267"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 27x = 1269. Divide by 27: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 7 = -1403"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 30x = -1410. Divide by 30: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
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