messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 79 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 79 × 100 = 7900.\n</reasoning>\nFinal Answer: 7900"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 307."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 307 by smallest primes repeatedly: 307 = 307.\n</reasoning>\nFinal Answer: 307"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 932 mod 977"
},
{
"role": "assistant",
"content": "<reasoning>\n932 mod 977: 932 = 977 × 0 + 932, so remainder = 932.\n</reasoning>\nFinal Answer: 932"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 44, 73, 85, 75, 39, 6, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 6, 10, 39, 44, 73, 75, 85]. Middle value(s) → median = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 5/10 - 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/10 - 14/1. LCD = 2. Result = -27/2.\n</reasoning>\nFinal Answer: -27/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 90% of 513?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 513 = (90/100) × 513 = 461.7.\n</reasoning>\nFinal Answer: 461.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 726 mod -322"
},
{
"role": "assistant",
"content": "<reasoning>\n726 mod -322: 726 = -322 × -3 + -240, so remainder = -240.\n</reasoning>\nFinal Answer: -240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 20, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 20 + 25 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 705 ÷ -368"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 705 by -368. 705 ÷ -368 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [4, 23, 66, 99, 87, 73, 70, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {4: 1, 23: 1, 66: 1, 99: 1, 87: 1, 73: 1, 70: 2}. Most frequent: 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 1/5 / 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/5) ÷ (6/14) = (1/5) × (14/6) = 7/15.\n</reasoning>\nFinal Answer: 7/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 199 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(199,29) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:16 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/16, so B = A × (16/9) = 19 × 16/9 = 33.7778.\n</reasoning>\nFinal Answer: 33.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 91, 97, 12, 19, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 91: 1, 97: 1, 12: 1, 19: 1, 50: 1}. Most frequent: [30, 91, 97, 12, 19, 50].\n</reasoning>\nFinal Answer: [30, 91, 97, 12, 19, 50]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -495 + 99"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -495 and 99: -495 + 99 = -396.\n</reasoning>\nFinal Answer: -396"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [52, 45, 54, 92, 24, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 24 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 17, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (19-1)×17 = 17 + 306 = 323.\n</reasoning>\nFinal Answer: 323"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 65% of 521?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 521 = (65/100) × 521 = 338.65.\n</reasoning>\nFinal Answer: 338.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/16 / 16/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/16) ÷ (16/18) = (5/16) × (18/16) = 45/128.\n</reasoning>\nFinal Answer: 45/128"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [41, 57, 73, 89, 105]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 41 and common difference 16. Next term = 105 + 16 = 121.\n</reasoning>\nFinal Answer: 121"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 16 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 16 × 17 = 136.0.\n</reasoning>\nFinal Answer: 136.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -50 = -428"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 18x = -378. Divide by 18: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 663 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 663 × (1 + 50/100) = 663 × 1.5 = 994.5.\n</reasoning>\nFinal Answer: 994.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [18, 20, 22, 24, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 18 and common difference 2. Next term = 26 + 2 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 3, 1, 64, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 120/5 = 24.0.\n</reasoning>\nFinal Answer: 24.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 15/17 / 15/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/17) ÷ (15/20) = (15/17) × (20/15) = 20/17.\n</reasoning>\nFinal Answer: 20/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 90 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 90 × 36 = 3240.\n</reasoning>\nFinal Answer: 3240"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹2574. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2574 × 28/100 = 720.72. Total = 2574 + 720.72 = 3294.72.\n</reasoning>\nFinal Answer: 3294.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 580 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 580 × (1 + 80/100) = 580 × 1.8 = 1044.0.\n</reasoning>\nFinal Answer: 1044.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [57, 100, 36, 41, 62, 83, 38, 73, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 36 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 18 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 18 × 19 = 342.\n</reasoning>\nFinal Answer: 342"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 28 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 28 = 56 worker-days. New time = 56 / 13 = 4.3077 days.\n</reasoning>\nFinal Answer: 4.3077"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:49 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/49, so B = A × (49/5) = 70 × 49/5 = 686.0.\n</reasoning>\nFinal Answer: 686.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 / 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/19) ÷ (6/20) = (11/19) × (20/6) = 110/57.\n</reasoning>\nFinal Answer: 110/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 204 km apart. Their speeds are 91 km/h and 73 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+73=164 km/h. Time = 204/164 = 1.2439 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:22 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/22, so B = A × (22/36) = 34 × 22/36 = 20.7778.\n</reasoning>\nFinal Answer: 20.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 179 apples and buys 107 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 179 + 107 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 23 + 25 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×23=1035 and 25×28=700, then add: 1735.\n</reasoning>\nFinal Answer: 1735"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:32 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/32, so B = A × (32/22) = 6 × 32/22 = 8.7273.\n</reasoning>\nFinal Answer: 8.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 180 apples and buys 7 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 180 + 7 = 187.\n</reasoning>\nFinal Answer: 187"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 - 14/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/2 - 14/19. LCD = 19. Result = 157/19.\n</reasoning>\nFinal Answer: 157/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -36 = 460"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 16x = 496. Divide by 16: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -395 ÷ -418"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -395 by -418. -395 ÷ -418 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 278 mod -797"
},
{
"role": "assistant",
"content": "<reasoning>\n278 mod -797: 278 = -797 × -1 + -519, so remainder = -519.\n</reasoning>\nFinal Answer: -519"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/1 * 15/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/1) × (15/14) = (90/14) = 45/7 after simplification.\n</reasoning>\nFinal Answer: 45/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 6 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 6 = 66 worker-days. New time = 66 / 16 = 4.125 days.\n</reasoning>\nFinal Answer: 4.125"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the square root of 289."
},
{
"role": "assistant",
"content": "<reasoning>\n√289 = 17 because 17² = 289.\n</reasoning>\nFinal Answer: 17"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 19 = 1059"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 26x = 1040. Divide by 26: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 26 = 566"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 30x = 540. Divide by 30: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 951 × 916"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 951 by 916: 951 × 916 = 871116.\n</reasoning>\nFinal Answer: 871116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 37 = -17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 6x = -54. Divide by 6: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -37 = -145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 9x = -108. Divide by 9: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 905 × 143"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 905 by 143: 905 × 143 = 129415.\n</reasoning>\nFinal Answer: 129415"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 14) * (4 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+14)=62, (4-7)=-3, then 62×-3=-186.\n</reasoning>\nFinal Answer: -186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:45 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/45, so B = A × (45/36) = 44 × 45/36 = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 62, 20, 99, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 62: 1, 20: 1, 99: 1, 79: 1}. Most frequent: [78, 62, 20, 99, 79].\n</reasoning>\nFinal Answer: [78, 62, 20, 99, 79]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 971 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 971 × (1 + 30/100) = 971 × 1.3 = 1262.3.\n</reasoning>\nFinal Answer: 1262.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -105 + -890"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -105 and -890: -105 + -890 = -995.\n</reasoning>\nFinal Answer: -995"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 38 and width 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(38+34) = 2×72 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 537 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 537 × (1 - 70/100) = 537 × 0.30000000000000004 = 161.1.\n</reasoning>\nFinal Answer: 161.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 10, 11, 18, 19] and B = [2, 3, 4, 5, 8, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 5, 6, 8, 10, 11, 17, 18, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 15/8 + 14/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/8 + 14/10. Common denominator = 40. Result = 131/40.\n</reasoning>\nFinal Answer: 131/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47805 at 11% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47805 × 11 × 4 / 100 = 21034.2.\n</reasoning>\nFinal Answer: 21034.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/11 / 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/11) ÷ (19/16) = (4/11) × (16/19) = 64/209.\n</reasoning>\nFinal Answer: 64/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 32 * 38 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×38=1216, then 5+1216-50=1171.\n</reasoning>\nFinal Answer: 1171"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -636 mod 898"
},
{
"role": "assistant",
"content": "<reasoning>\n-636 mod 898: -636 = 898 × -1 + 262, so remainder = 262.\n</reasoning>\nFinal Answer: 262"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 6, 8, 10, 16] and B = [1, 5, 7, 9, 10, 12, 15, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 10].\n</reasoning>\nFinal Answer: [1, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 814 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 814 × (1 + 65/100) = 814 × 1.65 = 1343.1.\n</reasoning>\nFinal Answer: 1343.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 85, 66, 8, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 8 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 405 - -354"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -354 from 405: 405 - -354 = 759.\n</reasoning>\nFinal Answer: 759"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 27, 73, 28, 81, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [27, 28, 58, 73, 81, 91]. Middle value(s) → median = 65.5.\n</reasoning>\nFinal Answer: 65.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 38 = -248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 11x = -286. Divide by 11: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 4, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (31-1)×4 = 24 + 120 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 9/15 + 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/15 + 7/2. Common denominator = 10. Result = 41/10.\n</reasoning>\nFinal Answer: 41/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 7, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (18-1)×7 = 45 + 119 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 123 km/h. How far does it travel in 8 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 50/60 = 8.8333 hours. Distance = speed × time = 123 × 8.8333 = 1086.5 km.\n</reasoning>\nFinal Answer: 1086.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [56, 83, 99, 41, 96, 45, 13, 60, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 502/9 = 55.7778.\n</reasoning>\nFinal Answer: 55.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [65, 11, 26, 3, 77, 7, 56, 95, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 341/9 = 37.8889.\n</reasoning>\nFinal Answer: 37.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 244 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 244 × (1 + 65/100) = 244 × 1.65 = 402.6.\n</reasoning>\nFinal Answer: 402.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 30 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 30 = 390 worker-days. New time = 390 / 16 = 24.375 days.\n</reasoning>\nFinal Answer: 24.375"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 11, 12, 13, 14] and B = [2, 10, 11, 15, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 12, 13, 14].\n</reasoning>\nFinal Answer: [3, 12, 13, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:10 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/10, so B = A × (10/9) = 8 × 10/9 = 8.8889.\n</reasoning>\nFinal Answer: 8.8889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [14, 11, 39, 14, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 14, 14, 39, 99]. Middle value(s) → median = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 241 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 241 × (1 - 12/100) = 241 × 0.88 = 212.08.\n</reasoning>\nFinal Answer: 212.08"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:38 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/38, so B = A × (38/36) = 35 × 38/36 = 36.9444.\n</reasoning>\nFinal Answer: 36.9444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 47 = 572"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 25x = 525. Divide by 25: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 36 + 25 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×36=108 and 25×44=1100, then add: 1208.\n</reasoning>\nFinal Answer: 1208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 95 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 95 × 41 = 3895.\n</reasoning>\nFinal Answer: 3895"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [39, 46, 53, 60, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 39 and common difference 7. Next term = 67 + 7 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 26, 97, 23, 98, 58, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 365/7 = 52.1429.\n</reasoning>\nFinal Answer: 52.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -376 × -43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -376 by -43: -376 × -43 = 16168.\n</reasoning>\nFinal Answer: 16168"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 267 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 267 × (1 - 17/100) = 267 × 0.83 = 221.61.\n</reasoning>\nFinal Answer: 221.61"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 * 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/14) × (14/16) = (238/224) = 17/16 after simplification.\n</reasoning>\nFinal Answer: 17/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 243 km apart. Their speeds are 49 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+115=164 km/h. Time = 243/164 = 1.4817 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:5 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/5, so B = A × (5/32) = 61 × 5/32 = 9.5312.\n</reasoning>\nFinal Answer: 9.5312"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 7, 11, 14, 15, 16] and B = [1, 2, 11], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 11].\n</reasoning>\nFinal Answer: [2, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 23) * (31 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+23)=45, (31-3)=28, then 45×28=1260.\n</reasoning>\nFinal Answer: 1260"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (4)x + (-224) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×4×-224 = 3600. √discriminant = 60. x = (-(4) ± 60) / (2×4). Solutions: x = -8 or x = 7.\n</reasoning>\nFinal Answer: x = -8 or x = 7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 467 ÷ -904"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 467 by -904. 467 ÷ -904 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 176 km/h. How far does it travel in 11 hours and 4 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 4/60 = 11.0667 hours. Distance = speed × time = 176 × 11.0667 = 1947.7333 km.\n</reasoning>\nFinal Answer: 1947.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
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