messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 88 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 88 × 39 = 3432.\n</reasoning>\nFinal Answer: 3432"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -42 = 278"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 20x = 320. Divide by 20: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 12) * (9 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+12)=23, (9-12)=-3, then 23×-3=-69.\n</reasoning>\nFinal Answer: -69"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 96 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 96 × 87 = 8352.\n</reasoning>\nFinal Answer: 8352"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 133 × -806"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 133 by -806: 133 × -806 = -107198.\n</reasoning>\nFinal Answer: -107198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 1 + 49 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×1=43 and 49×20=980, then add: 1023.\n</reasoning>\nFinal Answer: 1023"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 976 ÷ 866"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 976 by 866. 976 ÷ 866 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 540 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 540 × (1 + 10/100) = 540 × 1.1 = 594.0.\n</reasoning>\nFinal Answer: 594.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/5 * 19/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/5) × (19/15) = (190/75) = 38/15 after simplification.\n</reasoning>\nFinal Answer: 38/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 16 = 313"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 11x = 297. Divide by 11: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -36 = 677"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 23x = 713. Divide by 23: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -29 = -558"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 23x = -529. Divide by 23: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "List all positive factors of 66."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 66: factors are [1, 2, 3, 6, 11, 22, 33, 66].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 11, 22, 33, 66]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "An item costs ₹1435. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1435 × 5/100 = 71.75. Total = 1435 + 71.75 = 1506.75.\n</reasoning>\nFinal Answer: 1506.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 6, 9, 12, 19] and B = [5, 6, 11], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 9, 12, 19].\n</reasoning>\nFinal Answer: [4, 9, 12, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -902 ÷ 663"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -902 by 663. -902 ÷ 663 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -4 = 344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 12x = 348. Divide by 12: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 16, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (45-1)×16 = 38 + 704 = 742.\n</reasoning>\nFinal Answer: 742"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 294 ÷ 745"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 294 by 745. 294 ÷ 745 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 82 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 82 × 56 = 2296.0.\n</reasoning>\nFinal Answer: 2296.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 973 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 973 × (1 + 20/100) = 973 × 1.2 = 1167.6.\n</reasoning>\nFinal Answer: 1167.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 33 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 6+1089-40=1055.\n</reasoning>\nFinal Answer: 1055"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 105 mod -215"
},
{
"role": "assistant",
"content": "<reasoning>\n105 mod -215: 105 = -215 × -1 + -110, so remainder = -110.\n</reasoning>\nFinal Answer: -110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/12 * 16/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/12) × (16/18) = (272/216) = 34/27 after simplification.\n</reasoning>\nFinal Answer: 34/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 33, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 33 + 36 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "20 is what percentage of 253?"
},
{
"role": "assistant",
"content": "<reasoning>\n(20/253) × 100 = 7.9051%.\n</reasoning>\nFinal Answer: 7.9051%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 / 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/17) ÷ (5/20) = (1/17) × (20/5) = 4/17.\n</reasoning>\nFinal Answer: 4/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/18 / 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/18) ÷ (1/1) = (5/18) × (1/1) = 5/18.\n</reasoning>\nFinal Answer: 5/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 88 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 88 × 15 = 1320.\n</reasoning>\nFinal Answer: 1320"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 82 km/h. How far does it travel in 7 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 21/60 = 7.3500 hours. Distance = speed × time = 82 × 7.3500 = 602.7 km.\n</reasoning>\nFinal Answer: 602.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 24 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 5+576-36=545.\n</reasoning>\nFinal Answer: 545"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 28 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 28 = 420 worker-days. New time = 420 / 16 = 26.25 days.\n</reasoning>\nFinal Answer: 26.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 23 = 299"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 12x = 276. Divide by 12: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17049 at 9% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17049 × 9 × 10 / 100 = 15344.1.\n</reasoning>\nFinal Answer: 15344.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "666 is what percentage of 818?"
},
{
"role": "assistant",
"content": "<reasoning>\n(666/818) × 100 = 81.4181%.\n</reasoning>\nFinal Answer: 81.4181%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 17 = -469"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 27x = -486. Divide by 27: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [28, 88, 81, 76, 51, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {28: 1, 88: 1, 81: 1, 76: 1, 51: 1, 55: 1}. Most frequent: [28, 88, 81, 76, 51, 55].\n</reasoning>\nFinal Answer: [28, 88, 81, 76, 51, 55]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 14 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 42+196-39=199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 178 km/h. How far does it travel in 3 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 24/60 = 3.4000 hours. Distance = speed × time = 178 × 3.4000 = 605.2 km.\n</reasoning>\nFinal Answer: 605.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 679 + -477"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 679 and -477: 679 + -477 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -863 + 141"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -863 and 141: -863 + 141 = -722.\n</reasoning>\nFinal Answer: -722"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:45 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/45, so B = A × (45/5) = 24 × 45/5 = 216.0.\n</reasoning>\nFinal Answer: 216.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:49 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/49, so B = A × (49/35) = 55 × 49/35 = 77.0.\n</reasoning>\nFinal Answer: 77.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38635 at 10% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38635 × 10 × 3 / 100 = 11590.5.\n</reasoning>\nFinal Answer: 11590.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 69, 42, 72, 34, 69, 10, 66, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 69: 2, 42: 1, 72: 2, 34: 1, 10: 1, 66: 1}. Most frequent: [69, 72].\n</reasoning>\nFinal Answer: [69, 72]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -542 - -73"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -73 from -542: -542 - -73 = -469.\n</reasoning>\nFinal Answer: -469"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 337 mod 245"
},
{
"role": "assistant",
"content": "<reasoning>\n337 mod 245: 337 = 245 × 1 + 92, so remainder = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 96 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(96+55) = 2×151 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 339 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 339 × (1 + 90/100) = 339 × 1.9 = 644.1.\n</reasoning>\nFinal Answer: 644.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 8, 10, 15, 18, 19] and B = [2, 3, 6, 9, 11, 15, 16, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 15, 18].\n</reasoning>\nFinal Answer: [6, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 11 = 227"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 18x = 216. Divide by 18: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -882 ÷ 936"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -882 by 936. -882 ÷ 936 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 31 + 12 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×31=1178 and 12×29=348, then add: 1526.\n</reasoning>\nFinal Answer: 1526"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 16, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (12-1)×16 = 1 + 176 = 177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 962 - -143"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -143 from 962: 962 - -143 = 1105.\n</reasoning>\nFinal Answer: 1105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 971 mod 668"
},
{
"role": "assistant",
"content": "<reasoning>\n971 mod 668: 971 = 668 × 1 + 303, so remainder = 303.\n</reasoning>\nFinal Answer: 303"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 4 * 42 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×42=168, then 16+168-24=160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -560 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from -560: -560 - 4 = -564.\n</reasoning>\nFinal Answer: -564"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 / 4/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/17) ÷ (4/16) = (10/17) × (16/4) = 40/17.\n</reasoning>\nFinal Answer: 40/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 28) * (35 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+28)=77, (35-1)=34, then 77×34=2618.\n</reasoning>\nFinal Answer: 2618"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/15 / 9/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/15) ÷ (9/7) = (17/15) × (7/9) = 119/135.\n</reasoning>\nFinal Answer: 119/135"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 706 ÷ 303"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 706 by 303. 706 ÷ 303 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -49 = 79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 8x = 128. Divide by 8: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 47 km/h. How far does it travel in 7 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 24/60 = 7.4000 hours. Distance = speed × time = 47 × 7.4000 = 347.8 km.\n</reasoning>\nFinal Answer: 347.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 15, and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 15 + 23 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:12 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/12, so B = A × (12/31) = 52 × 12/31 = 20.129.\n</reasoning>\nFinal Answer: 20.129"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 20, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (39-1)×20 = 28 + 760 = 788.\n</reasoning>\nFinal Answer: 788"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 / 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/19) ÷ (8/5) = (11/19) × (5/8) = 55/152.\n</reasoning>\nFinal Answer: 55/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3997. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3997 × 12/100 = 479.64. Total = 3997 + 479.64 = 4476.64.\n</reasoning>\nFinal Answer: 4476.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 59 apples and buys 197 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 59 + 197 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 270 mod -714"
},
{
"role": "assistant",
"content": "<reasoning>\n270 mod -714: 270 = -714 × -1 + -444, so remainder = -444.\n</reasoning>\nFinal Answer: -444"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 338 mod -934"
},
{
"role": "assistant",
"content": "<reasoning>\n338 mod -934: 338 = -934 × -1 + -596, so remainder = -596.\n</reasoning>\nFinal Answer: -596"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 461 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 461 × (1 + 65/100) = 461 × 1.65 = 760.65.\n</reasoning>\nFinal Answer: 760.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 473 × -10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 473 by -10: 473 × -10 = -4730.\n</reasoning>\nFinal Answer: -4730"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 142 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 142 × (1 - 65/100) = 142 × 0.35 = 49.7.\n</reasoning>\nFinal Answer: 49.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -97 ÷ 985"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -97 by 985. -97 ÷ 985 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 25 * 17 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×17=425, then 21+425-24=422.\n</reasoning>\nFinal Answer: 422"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:45 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/45, so B = A × (45/23) = 53 × 45/23 = 103.6957.\n</reasoning>\nFinal Answer: 103.6957"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 172 - -398"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -398 from 172: 172 - -398 = 570.\n</reasoning>\nFinal Answer: 570"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 47 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 47 × 61 = 2867.\n</reasoning>\nFinal Answer: 2867"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 15 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+15) × 23 = 207.0.\n</reasoning>\nFinal Answer: 207.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/13 / 13/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/13) ÷ (13/17) = (17/13) × (17/13) = 289/169.\n</reasoning>\nFinal Answer: 289/169"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 537 mod -58"
},
{
"role": "assistant",
"content": "<reasoning>\n537 mod -58: 537 = -58 × -10 + -43, so remainder = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 32) * (44 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+32)=55, (44-21)=23, then 55×23=1265.\n</reasoning>\nFinal Answer: 1265"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 20 * 1 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×1=20, then 35+20-16=39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 3 and 67."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(3,67) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 63 apples and buys 164 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 63 + 164 = 227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 9 × 971"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 9 by 971: 9 × 971 = 8739.\n</reasoning>\nFinal Answer: 8739"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 5% of 89?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 89 = (5/100) × 89 = 4.45.\n</reasoning>\nFinal Answer: 4.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [9, 17, 18, 19] and B = [6, 14, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [6, 9, 14, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [6, 9, 14, 16, 17, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 35% of 680?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 680 = (35/100) × 680 = 238.0.\n</reasoning>\nFinal Answer: 238.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 6 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+6) × 24 = 240.0.\n</reasoning>\nFinal Answer: 240.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 551 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 551 × (1 - 75/100) = 551 × 0.25 = 137.75.\n</reasoning>\nFinal Answer: 137.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -8 = -608"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 12x = -600. Divide by 12: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 27 × -897"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 27 by -897: 27 × -897 = -24219.\n</reasoning>\nFinal Answer: -24219"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 / 19/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/20) ÷ (19/12) = (3/20) × (12/19) = 9/95.\n</reasoning>\nFinal Answer: 9/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [34, 51, 68, 85, 102]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 34 and common difference 17. Next term = 102 + 17 = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 4 = -806"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 30x = -810. Divide by 30: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "161 is what percentage of 645?"
},
{
"role": "assistant",
"content": "<reasoning>\n(161/645) × 100 = 24.9612%.\n</reasoning>\nFinal Answer: 24.9612%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 13 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 13 = 143 worker-days. New time = 143 / 10 = 14.3 days.\n</reasoning>\nFinal Answer: 14.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
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