messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 3 * 1 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×1=3, then 29+3-1=31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 299."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 299 by smallest primes repeatedly: 299 = 13 × 23.\n</reasoning>\nFinal Answer: 13 × 23"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 69 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 69 × 91 = 6279.\n</reasoning>\nFinal Answer: 6279"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 * 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/16) × (11/16) = (99/256) = 99/256 after simplification.\n</reasoning>\nFinal Answer: 99/256"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -937 - -660"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -660 from -937: -937 - -660 = -277.\n</reasoning>\nFinal Answer: -277"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 + 15/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/13 + 15/12. Common denominator = 52. Result = 69/52.\n</reasoning>\nFinal Answer: 69/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [15, 71, 64, 60, 32, 58, 52, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 32, 49, 52, 58, 60, 64, 71]. Middle value(s) → median = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [90, 18, 94, 47, 47, 94, 73, 22, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 18 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -189 + -632"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -189 and -632: -189 + -632 = -821.\n</reasoning>\nFinal Answer: -821"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:28 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/28, so B = A × (28/20) = 74 × 28/20 = 103.6.\n</reasoning>\nFinal Answer: 103.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 27 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 40+729-38=731.\n</reasoning>\nFinal Answer: 731"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 68 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 68 × 98 = 3332.0.\n</reasoning>\nFinal Answer: 3332.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 35 = -105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 5x = -140. Divide by 5: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -8 = -385"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 29x = -377. Divide by 29: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -775 - 270"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 270 from -775: -775 - 270 = -1045.\n</reasoning>\nFinal Answer: -1045"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 - 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/18 - 13/15. LCD = 30. Result = -1/30.\n</reasoning>\nFinal Answer: -1/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [31, 77, 44, 32, 95, 99, 68, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 481/8 = 60.125.\n</reasoning>\nFinal Answer: 60.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 7 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 7 = 14 worker-days. New time = 14 / 17 = 0.8235 days.\n</reasoning>\nFinal Answer: 0.8235"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -646 - 407"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 407 from -646: -646 - 407 = -1053.\n</reasoning>\nFinal Answer: -1053"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 70."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 70 by smallest primes repeatedly: 70 = 2 × 5 × 7.\n</reasoning>\nFinal Answer: 2 × 5 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 + 20/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/14 + 20/10. Common denominator = 14. Result = 45/14.\n</reasoning>\nFinal Answer: 45/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "536 is what percentage of 986?"
},
{
"role": "assistant",
"content": "<reasoning>\n(536/986) × 100 = 54.3611%.\n</reasoning>\nFinal Answer: 54.3611%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -515 - -765"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -765 from -515: -515 - -765 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "64 is what percentage of 898?"
},
{
"role": "assistant",
"content": "<reasoning>\n(64/898) × 100 = 7.1269%.\n</reasoning>\nFinal Answer: 7.1269%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 23 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 23 = 437 worker-days. New time = 437 / 15 = 29.1333 days.\n</reasoning>\nFinal Answer: 29.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 9 = 99"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 3x = 90. Divide by 3: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:38 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/38, so B = A × (38/48) = 66 × 38/48 = 52.25.\n</reasoning>\nFinal Answer: 52.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 347 × 970"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 347 by 970: 347 × 970 = 336590.\n</reasoning>\nFinal Answer: 336590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 52 km/h. How far does it travel in 9 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 42/60 = 9.7000 hours. Distance = speed × time = 52 × 9.7000 = 504.4 km.\n</reasoning>\nFinal Answer: 504.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -42 = -282"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 30x = -240. Divide by 30: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 3 = -37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 1x = -40. Divide by 1: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 36 = -62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 2x = -98. Divide by 2: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 739 × 757"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 739 by 757: 739 × 757 = 559423.\n</reasoning>\nFinal Answer: 559423"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4576. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4576 × 12/100 = 549.12. Total = 4576 + 549.12 = 5125.12.\n</reasoning>\nFinal Answer: 5125.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30364 at 17% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30364 × 17 × 9 / 100 = 46456.92.\n</reasoning>\nFinal Answer: 46456.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -81 + 893"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -81 and 893: -81 + 893 = 812.\n</reasoning>\nFinal Answer: 812"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 99 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 99 × 88 = 8712.\n</reasoning>\nFinal Answer: 8712"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 45 = -1105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 25x = -1150. Divide by 25: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 5 * 4 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×4=20, then 9+20-35=-6.\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/5 - 1/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/5 - 1/19. LCD = 95. Result = 223/95.\n</reasoning>\nFinal Answer: 223/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 47) * (29 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+47)=93, (29-15)=14, then 93×14=1302.\n</reasoning>\nFinal Answer: 1302"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -767 ÷ -438"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -767 by -438. -767 ÷ -438 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 48 = 140"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 23x = 92. Divide by 23: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:36 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/36, so B = A × (36/35) = 17 × 36/35 = 17.4857.\n</reasoning>\nFinal Answer: 17.4857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 599 km apart. Their speeds are 55 km/h and 82 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 55+82=137 km/h. Time = 599/137 = 4.3723 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹496. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 496 × 28/100 = 138.88. Total = 496 + 138.88 = 634.88.\n</reasoning>\nFinal Answer: 634.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 133 and 199."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(133,199) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [14, 19, 24, 29, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 14 and common difference 5. Next term = 34 + 5 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 7, 9, 15, 19] and B = [1, 3, 4, 6, 7, 10, 13, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 6, 7, 9, 10, 13, 15, 18, 19].\n</reasoning>\nFinal Answer: [1, 3, 4... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 3/15 * 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/15) × (1/1) = (3/15) = 1/5 after simplification.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -285 × -859"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -285 by -859: -285 × -859 = 244815.\n</reasoning>\nFinal Answer: 244815"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [3, 87, 82, 24, 12, 19, 66, 48, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {3: 1, 87: 1, 82: 1, 24: 1, 12: 1, 19: 1, 66: 1, 48: 1, 84: 1}. Most frequent: [3, 87, 82, 24, 12, 19, 66, 48, 84].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -24 = -639"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 15x = -615. Divide by 15: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7660 at 11% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7660 × 11 × 1 / 100 = 842.6.\n</reasoning>\nFinal Answer: 842.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 11, 12] and B = [4, 7, 10, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 7, 8, 10, 11, 12, 14].\n</reasoning>\nFinal Answer: [4, 7, 8, 10, 11, 12, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹3761. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3761 × 18/100 = 676.98. Total = 3761 + 676.98 = 4437.98.\n</reasoning>\nFinal Answer: 4437.98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A bag has 7 red and 3 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 7/10 = 0.7.\n</reasoning>\nFinal Answer: 0.7"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -47 = -743"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 24x = -696. Divide by 24: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:19 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/19, so B = A × (19/37) = 48 × 19/37 = 24.6486.\n</reasoning>\nFinal Answer: 24.6486"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 8 = 348"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 10x = 340. Divide by 10: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 336 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 336 × (1 - 12/100) = 336 × 0.88 = 295.68.\n</reasoning>\nFinal Answer: 295.68"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 55 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(55+95) = 2×150 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 190 km/h. How far does it travel in 4 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 41/60 = 4.6833 hours. Distance = speed × time = 190 × 4.6833 = 889.8333 km.\n</reasoning>\nFinal Answer: 889.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 86 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 86 × 17 = 1462.\n</reasoning>\nFinal Answer: 1462"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 19, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (26-1)×19 = 47 + 475 = 522.\n</reasoning>\nFinal Answer: 522"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 43 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 37+1849-50=1836.\n</reasoning>\nFinal Answer: 1836"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -18 = 521"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 11x = 539. Divide by 11: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:7 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/7, so B = A × (7/31) = 73 × 7/31 = 16.4839.\n</reasoning>\nFinal Answer: 16.4839"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 74 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 74 × 74 = 5476.\n</reasoning>\nFinal Answer: 5476"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [15, 67, 34, 20, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 69 - 15 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 137 apples and buys 127 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 137 + 127 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [68, 83, 83, 37, 47, 99, 100, 83, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 37, 47, 68, 83, 83, 83, 99, 100]. Middle value(s) → median = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 15 = 444"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 11x = 429. Divide by 11: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "445 is what percentage of 483?"
},
{
"role": "assistant",
"content": "<reasoning>\n(445/483) × 100 = 92.1325%.\n</reasoning>\nFinal Answer: 92.1325%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 3, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (30-1)×3 = 28 + 87 = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -203 + -485"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -203 and -485: -203 + -485 = -688.\n</reasoning>\nFinal Answer: -688"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-12)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×3×0 = 144. √discriminant = 12. x = (-(-12) ± 12) / (2×3). Solutions: x = 0 or x = 4.\n</reasoning>\nFinal Answer: x = 0 or x = 4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 555 × -128"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 555 by -128: 555 × -128 = -71040.\n</reasoning>\nFinal Answer: -71040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -129 - 816"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 816 from -129: -129 - 816 = -945.\n</reasoning>\nFinal Answer: -945"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -12 = -452"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 22x = -440. Divide by 22: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 45 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 45 × 80 = 3600.\n</reasoning>\nFinal Answer: 3600"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/8 + 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/8 + 10/19. Common denominator = 152. Result = 137/152.\n</reasoning>\nFinal Answer: 137/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -622 mod -663"
},
{
"role": "assistant",
"content": "<reasoning>\n-622 mod -663: -622 = -663 × 0 + -622, so remainder = -622.\n</reasoning>\nFinal Answer: -622"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 207 × 966"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 207 by 966: 207 × 966 = 199962.\n</reasoning>\nFinal Answer: 199962"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 355 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 355 × (1 - 20/100) = 355 × 0.8 = 284.0.\n</reasoning>\nFinal Answer: 284.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "268 is what percentage of 570?"
},
{
"role": "assistant",
"content": "<reasoning>\n(268/570) × 100 = 47.0175%.\n</reasoning>\nFinal Answer: 47.0175%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 14 apples and buys 36 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 14 + 36 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 294 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 294 × (1 - 7/100) = 294 × 0.9299999999999999 = 273.42.\n</reasoning>\nFinal Answer: 273.42"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [85, 75, 88, 54, 14, 46, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 22, 46, 54, 75, 85, 88]. Middle value(s) → median = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 18 = -672"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 23x = -690. Divide by 23: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -110 ÷ 340"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -110 by 340. -110 ÷ 340 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/18 - 7/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/18 - 7/17. LCD = 306. Result = -41/306.\n</reasoning>\nFinal Answer: -41/306"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 706 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 706 × (1 - 10/100) = 706 × 0.9 = 635.4.\n</reasoning>\nFinal Answer: 635.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-15)x + (54) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×1×54 = 9. √discriminant = 3. x = (-(-15) ± 3) / (2×1). Solutions: x = 9 or x = 6.\n</reasoning>\nFinal Answer: x = 9 or x = 6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 37, 7, 88, 35, 3, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 1, 37: 1, 7: 1, 88: 1, 35: 1, 3: 1, 24: 1}. Most frequent: [73, 37, 7, 88, 35, 3, 24].\n</reasoning>\nFinal Answer: [73, 37, 7, 88, 35, 3, 24]"
... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 4/7 / 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/7) ÷ (18/1) = (4/7) × (1/18) = 2/63.\n</reasoning>\nFinal Answer: 2/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 14 * 29 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×29=406, then 14+406-45=375.\n</reasoning>\nFinal Answer: 375"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [32, 7, 42, 7, 59, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {32: 1, 7: 2, 42: 1, 59: 1, 22: 1}. Most frequent: 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 73 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 73 × 42 = 3066.\n</reasoning>\nFinal Answer: 3066"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [7, 93, 32, 46, 16, 14, 50, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 7 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
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