messages
listlengths
2
2
difficulty
stringclasses
3 values
tags
listlengths
1
3
[ { "role": "user", "content": "Find the perimeter of a rectangle with length 12 and width 94." }, { "role": "assistant", "content": "<reasoning>\nPerimeter = 2(l + w) = 2(12+94) = 2×106 = 212.\n</reasoning>\nFinal Answer: 212" } ]
easy
[ "geometry", "perimeter" ]
[ { "role": "user", "content": "Calculate: -263 mod 86" }, { "role": "assistant", "content": "<reasoning>\n-263 mod 86: -263 = 86 × -4 + 81, so remainder = 81.\n</reasoning>\nFinal Answer: 81" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Find the area of a triangle with base 69 and height 29." }, { "role": "assistant", "content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 69 × 29 = 1000.5.\n</reasoning>\nFinal Answer: 1000.5" } ]
easy
[ "geometry", "area" ]
[ { "role": "user", "content": "Simplify: 7/7 * 4/18" }, { "role": "assistant", "content": "<reasoning>\nMultiply: (7/7) × (4/18) = (28/126) = 2/9 after simplification.\n</reasoning>\nFinal Answer: 2/9" } ]
medium
[ "fractions", "arithmetic" ]
[ { "role": "user", "content": "Evaluate using order of operations: 24 + 9 ** 2 - 42" }, { "role": "assistant", "content": "<reasoning>\nExponent first: 9²=81, then 24+81-42=63.\n</reasoning>\nFinal Answer: 63" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "Solve for x: 18x + -31 = -859" }, { "role": "assistant", "content": "<reasoning>\nSubtract -31 from both sides: 18x = -828. Divide by 18: x = -46.\n</reasoning>\nFinal Answer: -46" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "Find the mean of: [69, 78, 53, 25, 46, 88, 82, 40, 55, 93]" }, { "role": "assistant", "content": "<reasoning>\nMean = sum/count = 629/10 = 62.9.\n</reasoning>\nFinal Answer: 62.9" } ]
easy
[ "statistics", "mean" ]
[ { "role": "user", "content": "Find the perimeter of a rectangle with length 76 and width 31." }, { "role": "assistant", "content": "<reasoning>\nPerimeter = 2(l + w) = 2(76+31) = 2×107 = 214.\n</reasoning>\nFinal Answer: 214" } ]
easy
[ "geometry", "perimeter" ]
[ { "role": "user", "content": "Calculate: -851 mod -654" }, { "role": "assistant", "content": "<reasoning>\n-851 mod -654: -851 = -654 × 1 + -197, so remainder = -197.\n</reasoning>\nFinal Answer: -197" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Find the mean of: [28, 38, 77, 7, 27, 56, 7, 50, 43, 32]" }, { "role": "assistant", "content": "<reasoning>\nMean = sum/count = 365/10 = 36.5.\n</reasoning>\nFinal Answer: 36.5" } ]
easy
[ "statistics", "mean" ]
[ { "role": "user", "content": "Calculate: 919 + -406" }, { "role": "assistant", "content": "<reasoning>\nAdd 919 and -406: 919 + -406 = 513.\n</reasoning>\nFinal Answer: 513" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "77 is what percentage of 93?" }, { "role": "assistant", "content": "<reasoning>\n(77/93) × 100 = 82.7957%.\n</reasoning>\nFinal Answer: 82.7957%" } ]
medium
[ "percentage", "ratio" ]
[ { "role": "user", "content": "Evaluate using order of operations: 13 + 28 ** 2 - 13" }, { "role": "assistant", "content": "<reasoning>\nExponent first: 28²=784, then 13+784-13=784.\n</reasoning>\nFinal Answer: 784" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "Find the area of a parallelogram with base 96 and height 18." }, { "role": "assistant", "content": "<reasoning>\nArea = base × height = 96 × 18 = 1728.\n</reasoning>\nFinal Answer: 1728" } ]
easy
[ "geometry", "area" ]
[ { "role": "user", "content": "751 is what percentage of 990?" }, { "role": "assistant", "content": "<reasoning>\n(751/990) × 100 = 75.8586%.\n</reasoning>\nFinal Answer: 75.8586%" } ]
medium
[ "percentage", "ratio" ]
[ { "role": "user", "content": "Find the next term in the sequence: [14, 27, 40, 53, 66]" }, { "role": "assistant", "content": "<reasoning>\nThis is an arithmetic sequence with first term 14 and common difference 13. Next term = 66 + 13 = 79.\n</reasoning>\nFinal Answer: 79" } ]
medium
[ "sequences", "arithmetic_progression" ]
[ { "role": "user", "content": "Calculate: -170 mod -850" }, { "role": "assistant", "content": "<reasoning>\n-170 mod -850: -170 = -850 × 0 + -170, so remainder = -170.\n</reasoning>\nFinal Answer: -170" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Solve for x: 6x + 14 = -136" }, { "role": "assistant", "content": "<reasoning>\nSubtract 14 from both sides: 6x = -150. Divide by 6: x = -25.\n</reasoning>\nFinal Answer: -25" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "Solve for x: 18x + -5 = 391" }, { "role": "assistant", "content": "<reasoning>\nSubtract -5 from both sides: 18x = 396. Divide by 18: x = 22.\n</reasoning>\nFinal Answer: 22" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "In an arithmetic progression with first term 36 and common difference 15, find the 50th term." }, { "role": "assistant", "content": "<reasoning>\nnth term = a + (n-1)d = 36 + (50-1)×15 = 36 + 735 = 771.\n</reasoning>\nFinal Answer: 771" } ]
medium
[ "sequences", "arithmetic_progression" ]
[ { "role": "user", "content": "Calculate: 208 - -677" }, { "role": "assistant", "content": "<reasoning>\nSubtract -677 from 208: 208 - -677 = 885.\n</reasoning>\nFinal Answer: 885" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Solve for x: 3x + -4 = 71" }, { "role": "assistant", "content": "<reasoning>\nSubtract -4 from both sides: 3x = 75. Divide by 3: x = 25.\n</reasoning>\nFinal Answer: 25" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "Find the perimeter of a rectangle with length 85 and width 77." }, { "role": "assistant", "content": "<reasoning>\nPerimeter = 2(l + w) = 2(85+77) = 2×162 = 324.\n</reasoning>\nFinal Answer: 324" } ]
easy
[ "geometry", "perimeter" ]
[ { "role": "user", "content": "Find the range of: [56, 72, 10, 44, 64, 93]" }, { "role": "assistant", "content": "<reasoning>\nRange = max - min = 93 - 10 = 83.\n</reasoning>\nFinal Answer: 83" } ]
easy
[ "statistics", "range" ]
[ { "role": "user", "content": "If the ratio of A to B is 49:5 and A = 36, find B." }, { "role": "assistant", "content": "<reasoning>\nA/B = 49/5, so B = A × (5/49) = 36 × 5/49 = 3.6735.\n</reasoning>\nFinal Answer: 3.6735" } ]
medium
[ "ratio", "proportion" ]
[ { "role": "user", "content": "Find the median of: [74, 87, 4, 2, 24, 11, 41, 37]" }, { "role": "assistant", "content": "<reasoning>\nSorted: [2, 4, 11, 24, 37, 41, 74, 87]. Middle value(s) → median = 30.5.\n</reasoning>\nFinal Answer: 30.5" } ]
medium
[ "statistics", "median" ]
[ { "role": "user", "content": "Calculate: -313 ÷ 388" }, { "role": "assistant", "content": "<reasoning>\nDivide -313 by 388. -313 ÷ 388 = -1 (integer division).\n</reasoning>\nFinal Answer: -1" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "If the ratio of A to B is 38:43 and A = 49, find B." }, { "role": "assistant", "content": "<reasoning>\nA/B = 38/43, so B = A × (43/38) = 49 × 43/38 = 55.4474.\n</reasoning>\nFinal Answer: 55.4474" } ]
medium
[ "ratio", "proportion" ]
[ { "role": "user", "content": "Calculate: -548 - -866" }, { "role": "assistant", "content": "<reasoning>\nSubtract -866 from -548: -548 - -866 = 318.\n</reasoning>\nFinal Answer: 318" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Find the median of: [5, 5, 70, 10, 86, 52, 34, 91]" }, { "role": "assistant", "content": "<reasoning>\nSorted: [5, 5, 10, 34, 52, 70, 86, 91]. Middle value(s) → median = 43.0.\n</reasoning>\nFinal Answer: 43.0" } ]
medium
[ "statistics", "median" ]
[ { "role": "user", "content": "Solve for x: 10x + 40 = -140" }, { "role": "assistant", "content": "<reasoning>\nSubtract 40 from both sides: 10x = -180. Divide by 10: x = -18.\n</reasoning>\nFinal Answer: -18" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "Calculate: 890 × -445" }, { "role": "assistant", "content": "<reasoning>\nMultiply 890 by -445: 890 × -445 = -396050.\n</reasoning>\nFinal Answer: -396050" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Find the area of a rectangle with length 16 and width 42." }, { "role": "assistant", "content": "<reasoning>\nArea = length × width = 16 × 42 = 672.\n</reasoning>\nFinal Answer: 672" } ]
easy
[ "geometry", "area" ]
[ { "role": "user", "content": "If the ratio of A to B is 12:7 and A = 42, find B." }, { "role": "assistant", "content": "<reasoning>\nA/B = 12/7, so B = A × (7/12) = 42 × 7/12 = 24.5.\n</reasoning>\nFinal Answer: 24.5" } ]
medium
[ "ratio", "proportion" ]
[ { "role": "user", "content": "Evaluate using order of operations: 37 + 45 ** 2 - 39" }, { "role": "assistant", "content": "<reasoning>\nExponent first: 45²=2025, then 37+2025-39=2023.\n</reasoning>\nFinal Answer: 2023" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "Solve for x: 5x + -28 = -238" }, { "role": "assistant", "content": "<reasoning>\nSubtract -28 from both sides: 5x = -210. Divide by 5: x = -42.\n</reasoning>\nFinal Answer: -42" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "Find the GCD (Greatest Common Divisor) of 126 and 36." }, { "role": "assistant", "content": "<reasoning>\nUsing Euclidean algorithm: GCD(126,36) = 18.\n</reasoning>\nFinal Answer: 18" } ]
medium
[ "number_theory", "gcd" ]
[ { "role": "user", "content": "Calculate: 856 - -905" }, { "role": "assistant", "content": "<reasoning>\nSubtract -905 from 856: 856 - -905 = 1761.\n</reasoning>\nFinal Answer: 1761" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Simplify: 4/7 + 11/4" }, { "role": "assistant", "content": "<reasoning>\nAdd fractions: 4/7 + 11/4. Common denominator = 28. Result = 93/28.\n</reasoning>\nFinal Answer: 93/28" } ]
medium
[ "fractions", "arithmetic" ]
[ { "role": "user", "content": "Evaluate using order of operations: 5 + 5 ** 2 - 33" }, { "role": "assistant", "content": "<reasoning>\nExponent first: 5²=25, then 5+25-33=-3.\n</reasoning>\nFinal Answer: -3" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "Calculate: -546 ÷ -874" }, { "role": "assistant", "content": "<reasoning>\nDivide -546 by -874. -546 ÷ -874 = 0 (integer division).\n</reasoning>\nFinal Answer: 0" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "An item costs ₹2824. If sales tax is 28%, what is the total price?" }, { "role": "assistant", "content": "<reasoning>\nTax amount = 2824 × 28/100 = 790.72. Total = 2824 + 790.72 = 3614.72.\n</reasoning>\nFinal Answer: 3614.72" } ]
medium
[ "word_problem", "applied_math" ]
[ { "role": "user", "content": "Calculate: 968 ÷ -378" }, { "role": "assistant", "content": "<reasoning>\nDivide 968 by -378. 968 ÷ -378 = -3 (integer division).\n</reasoning>\nFinal Answer: -3" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Solve for x: 15x + -16 = -601" }, { "role": "assistant", "content": "<reasoning>\nSubtract -16 from both sides: 15x = -585. Divide by 15: x = -39.\n</reasoning>\nFinal Answer: -39" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "Evaluate using order of operations: (36 + 6) * (11 - 23)" }, { "role": "assistant", "content": "<reasoning>\nBrackets first: (36+6)=42, (11-23)=-12, then 42×-12=-504.\n</reasoning>\nFinal Answer: -504" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "Simplify: 8/15 - 16/6" }, { "role": "assistant", "content": "<reasoning>\nSubtract fractions: 8/15 - 16/6. LCD = 15. Result = -32/15.\n</reasoning>\nFinal Answer: -32/15" } ]
medium
[ "fractions", "arithmetic" ]
[ { "role": "user", "content": "Solve for x: 30x + 18 = 228" }, { "role": "assistant", "content": "<reasoning>\nSubtract 18 from both sides: 30x = 210. Divide by 30: x = 7.\n</reasoning>\nFinal Answer: 7" } ]
easy
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "An item costs ₹4714. If sales tax is 18%, what is the total price?" }, { "role": "assistant", "content": "<reasoning>\nTax amount = 4714 × 18/100 = 848.52. Total = 4714 + 848.52 = 5562.52.\n</reasoning>\nFinal Answer: 5562.52" } ]
medium
[ "word_problem", "applied_math" ]
[ { "role": "user", "content": "Find the area of a parallelogram with base 51 and height 7." }, { "role": "assistant", "content": "<reasoning>\nArea = base × height = 51 × 7 = 357.\n</reasoning>\nFinal Answer: 357" } ]
easy
[ "geometry", "area" ]
[ { "role": "user", "content": "What is 7% of 417?" }, { "role": "assistant", "content": "<reasoning>\n7% of 417 = (7/100) × 417 = 29.19.\n</reasoning>\nFinal Answer: 29.19" } ]
easy
[ "percentage", "arithmetic" ]
[ { "role": "user", "content": "Find the range of: [42, 1, 61, 71, 74]" }, { "role": "assistant", "content": "<reasoning>\nRange = max - min = 74 - 1 = 73.\n</reasoning>\nFinal Answer: 73" } ]
easy
[ "statistics", "range" ]
[ { "role": "user", "content": "Decrease 928 by 80%." }, { "role": "assistant", "content": "<reasoning>\nDecrease by 80%: 928 × (1 - 80/100) = 928 × 0.19999999999999996 = 185.6.\n</reasoning>\nFinal Answer: 185.6" } ]
easy
[ "percentage", "arithmetic" ]
[ { "role": "user", "content": "Evaluate using order of operations: 27 + 39 ** 2 - 3" }, { "role": "assistant", "content": "<reasoning>\nExponent first: 39²=1521, then 27+1521-3=1545.\n</reasoning>\nFinal Answer: 1545" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "Solve for x: 27x + 33 = 708" }, { "role": "assistant", "content": "<reasoning>\nSubtract 33 from both sides: 27x = 675. Divide by 27: x = 25.\n</reasoning>\nFinal Answer: 25" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "Solve for x: 29x + -37 = 224" }, { "role": "assistant", "content": "<reasoning>\nSubtract -37 from both sides: 29x = 261. Divide by 29: x = 9.\n</reasoning>\nFinal Answer: 9" } ]
easy
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "Evaluate using order of operations: 3 + 42 ** 2 - 40" }, { "role": "assistant", "content": "<reasoning>\nExponent first: 42²=1764, then 3+1764-40=1727.\n</reasoning>\nFinal Answer: 1727" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "Solve for x: 9x + -47 = 205" }, { "role": "assistant", "content": "<reasoning>\nSubtract -47 from both sides: 9x = 252. Divide by 9: x = 28.\n</reasoning>\nFinal Answer: 28" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "398 is what percentage of 748?" }, { "role": "assistant", "content": "<reasoning>\n(398/748) × 100 = 53.2086%.\n</reasoning>\nFinal Answer: 53.2086%" } ]
medium
[ "percentage", "ratio" ]
[ { "role": "user", "content": "Calculate: -447 + 354" }, { "role": "assistant", "content": "<reasoning>\nAdd -447 and 354: -447 + 354 = -93.\n</reasoning>\nFinal Answer: -93" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Evaluate using order of operations: 18 + 31 * 44 - 29" }, { "role": "assistant", "content": "<reasoning>\nBODMAS: multiply first: 31×44=1364, then 18+1364-29=1353.\n</reasoning>\nFinal Answer: 1353" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "Calculate: -744 mod -579" }, { "role": "assistant", "content": "<reasoning>\n-744 mod -579: -744 = -579 × 1 + -165, so remainder = -165.\n</reasoning>\nFinal Answer: -165" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Solve for x: 18x + -26 = -854" }, { "role": "assistant", "content": "<reasoning>\nSubtract -26 from both sides: 18x = -828. Divide by 18: x = -46.\n</reasoning>\nFinal Answer: -46" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "Calculate: 539 mod -553" }, { "role": "assistant", "content": "<reasoning>\n539 mod -553: 539 = -553 × -1 + -14, so remainder = -14.\n</reasoning>\nFinal Answer: -14" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Find the GCD (Greatest Common Divisor) of 64 and 110." }, { "role": "assistant", "content": "<reasoning>\nUsing Euclidean algorithm: GCD(64,110) = 2.\n</reasoning>\nFinal Answer: 2" } ]
medium
[ "number_theory", "gcd" ]
[ { "role": "user", "content": "What is 65% of 729?" }, { "role": "assistant", "content": "<reasoning>\n65% of 729 = (65/100) × 729 = 473.85.\n</reasoning>\nFinal Answer: 473.85" } ]
easy
[ "percentage", "arithmetic" ]
[ { "role": "user", "content": "Calculate: 1000 + -832" }, { "role": "assistant", "content": "<reasoning>\nAdd 1000 and -832: 1000 + -832 = 168.\n</reasoning>\nFinal Answer: 168" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Solve for x: 15x + -16 = 704" }, { "role": "assistant", "content": "<reasoning>\nSubtract -16 from both sides: 15x = 720. Divide by 15: x = 48.\n</reasoning>\nFinal Answer: 48" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "Find the area of a rectangle with length 74 and width 27." }, { "role": "assistant", "content": "<reasoning>\nArea = length × width = 74 × 27 = 1998.\n</reasoning>\nFinal Answer: 1998" } ]
easy
[ "geometry", "area" ]
[ { "role": "user", "content": "Calculate: 132 mod 805" }, { "role": "assistant", "content": "<reasoning>\n132 mod 805: 132 = 805 × 0 + 132, so remainder = 132.\n</reasoning>\nFinal Answer: 132" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "20 workers can complete a job in 22 days. How many days will 8 workers take?" }, { "role": "assistant", "content": "<reasoning>\nTotal work = 20 × 22 = 440 worker-days. New time = 440 / 8 = 55.0 days.\n</reasoning>\nFinal Answer: 55.0" } ]
medium
[ "word_problem", "applied_math" ]
[ { "role": "user", "content": "Calculate: -906 mod 7" }, { "role": "assistant", "content": "<reasoning>\n-906 mod 7: -906 = 7 × -130 + 4, so remainder = 4.\n</reasoning>\nFinal Answer: 4" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Calculate: -915 - 324" }, { "role": "assistant", "content": "<reasoning>\nSubtract 324 from -915: -915 - 324 = -1239.\n</reasoning>\nFinal Answer: -1239" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Evaluate using order of operations: 18 * 14 + 24 * 19" }, { "role": "assistant", "content": "<reasoning>\nMultiply first: 18×14=252 and 24×19=456, then add: 708.\n</reasoning>\nFinal Answer: 708" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "Evaluate using order of operations: 11 * 16 + 41 * 5" }, { "role": "assistant", "content": "<reasoning>\nMultiply first: 11×16=176 and 41×5=205, then add: 381.\n</reasoning>\nFinal Answer: 381" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "What is 100% of 15?" }, { "role": "assistant", "content": "<reasoning>\n100% of 15 = (100/100) × 15 = 15.0.\n</reasoning>\nFinal Answer: 15.0" } ]
easy
[ "percentage", "arithmetic" ]
[ { "role": "user", "content": "Evaluate using order of operations: 22 * 25 + 24 * 3" }, { "role": "assistant", "content": "<reasoning>\nMultiply first: 22×25=550 and 24×3=72, then add: 622.\n</reasoning>\nFinal Answer: 622" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "Find the range of: [25, 14, 78, 72, 95, 88]" }, { "role": "assistant", "content": "<reasoning>\nRange = max - min = 95 - 14 = 81.\n</reasoning>\nFinal Answer: 81" } ]
easy
[ "statistics", "range" ]
[ { "role": "user", "content": "Evaluate using order of operations: 27 * 29 + 17 * 26" }, { "role": "assistant", "content": "<reasoning>\nMultiply first: 27×29=783 and 17×26=442, then add: 1225.\n</reasoning>\nFinal Answer: 1225" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "Simplify: 9/1 - 16/16" }, { "role": "assistant", "content": "<reasoning>\nSubtract fractions: 9/1 - 16/16. LCD = 1. Result = 8.\n</reasoning>\nFinal Answer: 8" } ]
medium
[ "fractions", "arithmetic" ]
[ { "role": "user", "content": "Calculate: 274 + -148" }, { "role": "assistant", "content": "<reasoning>\nAdd 274 and -148: 274 + -148 = 126.\n</reasoning>\nFinal Answer: 126" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Solve for x: 7x + 24 = -291" }, { "role": "assistant", "content": "<reasoning>\nSubtract 24 from both sides: 7x = -315. Divide by 7: x = -45.\n</reasoning>\nFinal Answer: -45" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "Calculate: -778 × -657" }, { "role": "assistant", "content": "<reasoning>\nMultiply -778 by -657: -778 × -657 = 511146.\n</reasoning>\nFinal Answer: 511146" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Increase 720 by 10%." }, { "role": "assistant", "content": "<reasoning>\nIncrease by 10%: 720 × (1 + 10/100) = 720 × 1.1 = 792.0.\n</reasoning>\nFinal Answer: 792.0" } ]
easy
[ "percentage", "arithmetic" ]
[ { "role": "user", "content": "If the ratio of A to B is 14:3 and A = 58, find B." }, { "role": "assistant", "content": "<reasoning>\nA/B = 14/3, so B = A × (3/14) = 58 × 3/14 = 12.4286.\n</reasoning>\nFinal Answer: 12.4286" } ]
medium
[ "ratio", "proportion" ]
[ { "role": "user", "content": "Find the GCD (Greatest Common Divisor) of 148 and 14." }, { "role": "assistant", "content": "<reasoning>\nUsing Euclidean algorithm: GCD(148,14) = 2.\n</reasoning>\nFinal Answer: 2" } ]
medium
[ "number_theory", "gcd" ]
[ { "role": "user", "content": "Calculate simple interest on a principal of ₹30980 at 4% per annum for 4 years." }, { "role": "assistant", "content": "<reasoning>\nSI = P × R × T / 100 = 30980 × 4 × 4 / 100 = 4956.8.\n</reasoning>\nFinal Answer: 4956.8" } ]
medium
[ "word_problem", "applied_math" ]
[ { "role": "user", "content": "Solve for x: 18x + -24 = -744" }, { "role": "assistant", "content": "<reasoning>\nSubtract -24 from both sides: 18x = -720. Divide by 18: x = -40.\n</reasoning>\nFinal Answer: -40" } ]
medium
[ "algebra", "linear_equation" ]
[ { "role": "user", "content": "Calculate: 379 + -902" }, { "role": "assistant", "content": "<reasoning>\nAdd 379 and -902: 379 + -902 = -523.\n</reasoning>\nFinal Answer: -523" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Calculate: 279 × -127" }, { "role": "assistant", "content": "<reasoning>\nMultiply 279 by -127: 279 × -127 = -35433.\n</reasoning>\nFinal Answer: -35433" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "What is 80% of 553?" }, { "role": "assistant", "content": "<reasoning>\n80% of 553 = (80/100) × 553 = 442.4.\n</reasoning>\nFinal Answer: 442.4" } ]
easy
[ "percentage", "arithmetic" ]
[ { "role": "user", "content": "A train travels at 191 km/h. How far does it travel in 5 hours and 47 minutes?" }, { "role": "assistant", "content": "<reasoning>\nTime = 5 + 47/60 = 5.7833 hours. Distance = speed × time = 191 × 5.7833 = 1104.6167 km.\n</reasoning>\nFinal Answer: 1104.6167" } ]
medium
[ "word_problem", "applied_math" ]
[ { "role": "user", "content": "3 workers can complete a job in 24 days. How many days will 3 workers take?" }, { "role": "assistant", "content": "<reasoning>\nTotal work = 3 × 24 = 72 worker-days. New time = 72 / 3 = 24.0 days.\n</reasoning>\nFinal Answer: 24.0" } ]
medium
[ "word_problem", "applied_math" ]
[ { "role": "user", "content": "A train travels at 87 km/h. How far does it travel in 4 hours and 25 minutes?" }, { "role": "assistant", "content": "<reasoning>\nTime = 4 + 25/60 = 4.4167 hours. Distance = speed × time = 87 × 4.4167 = 384.25 km.\n</reasoning>\nFinal Answer: 384.25" } ]
medium
[ "word_problem", "applied_math" ]
[ { "role": "user", "content": "Evaluate using order of operations: 16 * 13 + 18 * 41" }, { "role": "assistant", "content": "<reasoning>\nMultiply first: 16×13=208 and 18×41=738, then add: 946.\n</reasoning>\nFinal Answer: 946" } ]
medium
[ "bodmas", "order_of_operations" ]
[ { "role": "user", "content": "Calculate: 3 - -110" }, { "role": "assistant", "content": "<reasoning>\nSubtract -110 from 3: 3 - -110 = 113.\n</reasoning>\nFinal Answer: 113" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Find the area of a parallelogram with base 41 and height 48." }, { "role": "assistant", "content": "<reasoning>\nArea = base × height = 41 × 48 = 1968.\n</reasoning>\nFinal Answer: 1968" } ]
easy
[ "geometry", "area" ]
[ { "role": "user", "content": "Calculate: 259 ÷ -768" }, { "role": "assistant", "content": "<reasoning>\nDivide 259 by -768. 259 ÷ -768 = -1 (integer division).\n</reasoning>\nFinal Answer: -1" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Calculate: -389 + -518" }, { "role": "assistant", "content": "<reasoning>\nAdd -389 and -518: -389 + -518 = -907.\n</reasoning>\nFinal Answer: -907" } ]
medium
[ "arithmetic", "computation" ]
[ { "role": "user", "content": "Find the perimeter of a rectangle with length 86 and width 34." }, { "role": "assistant", "content": "<reasoning>\nPerimeter = 2(l + w) = 2(86+34) = 2×120 = 240.\n</reasoning>\nFinal Answer: 240" } ]
easy
[ "geometry", "perimeter" ]
[ { "role": "user", "content": "Solve for x: 11x + -14 = -3" }, { "role": "assistant", "content": "<reasoning>\nSubtract -14 from both sides: 11x = 11. Divide by 11: x = 1.\n</reasoning>\nFinal Answer: 1" } ]
easy
[ "algebra", "linear_equation" ]