messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 45% of 54?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 54 = (45/100) × 54 = 24.3.\n</reasoning>\nFinal Answer: 24.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (0)x + (-4) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×4×-4 = 64. √discriminant = 8. x = (-(0) ± 8) / (2×4). Solutions: x = -1 or x = 1.\n</reasoning>\nFinal Answer: x = -1 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1479 at 16% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1479 × 16 × 8 / 100 = 1893.12.\n</reasoning>\nFinal Answer: 1893.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 71 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 71 × 1 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -346 + -630"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -346 and -630: -346 + -630 = -976.\n</reasoning>\nFinal Answer: -976"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [77, 61, 82, 55, 88, 69, 88, 97, 57, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 726/10 = 72.6.\n</reasoning>\nFinal Answer: 72.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [49, 51, 53, 55, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 49 and common difference 2. Next term = 57 + 2 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 9 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 48+81-2=127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 2 = -688"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 30x = -690. Divide by 30: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/9 + 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/9 + 4/3. Common denominator = 9. Result = 17/9.\n</reasoning>\nFinal Answer: 17/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 366."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 366 by smallest primes repeatedly: 366 = 2 × 3 × 61.\n</reasoning>\nFinal Answer: 2 × 3 × 61"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11372 at 15% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11372 × 15 × 8 / 100 = 13646.4.\n</reasoning>\nFinal Answer: 13646.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -2 - -92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -92 from -2: -2 - -92 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 65 and width 13."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(65+13) = 2×78 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 7, 15, 17] and B = [4, 8, 10], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 7, 8, 10, 15, 17].\n</reasoning>\nFinal Answer: [2, 7, 8, 10,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 980 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 980 × (1 - 70/100) = 980 × 0.30000000000000004 = 294.0.\n</reasoning>\nFinal Answer: 294.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14111 at 17% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14111 × 17 × 6 / 100 = 14393.22.\n</reasoning>\nFinal Answer: 14393.22"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 16 + 3 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×16=656 and 3×19=57, then add: 713.\n</reasoning>\nFinal Answer: 713"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1299. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1299 × 12/100 = 155.88. Total = 1299 + 155.88 = 1454.88.\n</reasoning>\nFinal Answer: 1454.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -600 × 218"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -600 by 218: -600 × 218 = -130800.\n</reasoning>\nFinal Answer: -130800"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -248 + 40"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -248 and 40: -248 + 40 = -208.\n</reasoning>\nFinal Answer: -208"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -23 = -761"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 18x = -738. Divide by 18: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 7, 14, 17, 19] and B = [4, 11, 12], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 6, 7, 11, 12, 14, 17, 19].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 / 19/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/9) ÷ (19/20) = (18/9) × (20/19) = 40/19.\n</reasoning>\nFinal Answer: 40/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 89, 81, 70, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 89: 1, 81: 1, 70: 1, 92: 1}. Most frequent: [43, 89, 81, 70, 92].\n</reasoning>\nFinal Answer: [43, 89, 81, 70, 92]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 7 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 7 × 13 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 33 = -135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 24x = -168. Divide by 24: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 44 + 49 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×44=1848 and 49×9=441, then add: 2289.\n</reasoning>\nFinal Answer: 2289"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 7) * (17 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+7)=34, (17-44)=-27, then 34×-27=-918.\n</reasoning>\nFinal Answer: -918"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/4 * 4/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/4) × (4/15) = (44/60) = 11/15 after simplification.\n</reasoning>\nFinal Answer: 11/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 19 = 796"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 21x = 777. Divide by 21: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 355 + -511"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 355 and -511: 355 + -511 = -156.\n</reasoning>\nFinal Answer: -156"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -14 = -707"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 21x = -693. Divide by 21: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 234 + -240"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 234 and -240: 234 + -240 = -6.\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 39 apples and buys 97 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 39 + 97 = 136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 130 × -918"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 130 by -918: 130 × -918 = -119340.\n</reasoning>\nFinal Answer: -119340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 412 + -966"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 412 and -966: 412 + -966 = -554.\n</reasoning>\nFinal Answer: -554"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -44 = 531"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 23x = 575. Divide by 23: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 79 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 79 × 27 = 2133.\n</reasoning>\nFinal Answer: 2133"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -30 = -654"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 13x = -624. Divide by 13: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:38 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/38, so B = A × (38/40) = 42 × 38/40 = 39.9.\n</reasoning>\nFinal Answer: 39.9"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -29 = -45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 2x = -16. Divide by 2: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 10% of 822?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 822 = (10/100) × 822 = 82.2.\n</reasoning>\nFinal Answer: 82.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 80 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(80+39) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39545 at 13% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39545 × 13 × 4 / 100 = 20563.4.\n</reasoning>\nFinal Answer: 20563.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 2 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 2 × 92 = 92.0.\n</reasoning>\nFinal Answer: 92.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 + 16/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/5 + 16/20. Common denominator = 5. Result = 6/5.\n</reasoning>\nFinal Answer: 6/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -287 - -240"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -240 from -287: -287 - -240 = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 702 km apart. Their speeds are 106 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 106+66=172 km/h. Time = 702/172 = 4.0814 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 71 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 71 × (1 - 5/100) = 71 × 0.95 = 67.45.\n</reasoning>\nFinal Answer: 67.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 37) * (40 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+37)=85, (40-30)=10, then 85×10=850.\n</reasoning>\nFinal Answer: 850"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 75 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 75 × 59 = 4425.\n</reasoning>\nFinal Answer: 4425"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 46 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 10+2116-42=2084.\n</reasoning>\nFinal Answer: 2084"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 172 km/h. How far does it travel in 2 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 41/60 = 2.6833 hours. Distance = speed × time = 172 × 2.6833 = 461.5333 km.\n</reasoning>\nFinal Answer: 461.5333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -27 = -951"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 21x = -924. Divide by 21: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 2 + 32 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×2=54 and 32×27=864, then add: 918.\n</reasoning>\nFinal Answer: 918"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -722 + -985"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -722 and -985: -722 + -985 = -1707.\n</reasoning>\nFinal Answer: -1707"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 161 apples and buys 34 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 161 + 34 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 7, 31, 3, 21, 37, 31, 34, 76, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 7, 21, 31, 31, 34, 37, 76, 79, 98]. Middle value(s) → median = 32.5.\n</reasoning>\nFinal Answer: 32.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [93, 76, 85, 73, 74, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 73 = 20.\n</reasoning>\nFinal Answer: 20"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 695 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 695 × (1 + 10/100) = 695 × 1.1 = 764.5.\n</reasoning>\nFinal Answer: 764.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 12 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+12) × 22 = 572.0.\n</reasoning>\nFinal Answer: 572.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/3 * 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/3) × (12/18) = (192/54) = 32/9 after simplification.\n</reasoning>\nFinal Answer: 32/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -717 ÷ 791"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -717 by 791. -717 ÷ 791 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -6 = -818"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 29x = -812. Divide by 29: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2060. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2060 × 12/100 = 247.2. Total = 2060 + 247.2 = 2307.2.\n</reasoning>\nFinal Answer: 2307.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 21 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 21 × 35 = 735.\n</reasoning>\nFinal Answer: 735"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 49 * 33 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×33=1617, then 18+1617-38=1597.\n</reasoning>\nFinal Answer: 1597"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -16 = 390"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 14x = 406. Divide by 14: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 648 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 648 × (1 - 70/100) = 648 × 0.30000000000000004 = 194.4.\n</reasoning>\nFinal Answer: 194.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 47 = -388"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 15x = -435. Divide by 15: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 160 apples and buys 142 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 160 + 142 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [13, 93, 80, 98, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {13: 1, 93: 1, 80: 1, 98: 1, 78: 1}. Most frequent: [13, 93, 80, 98, 78].\n</reasoning>\nFinal Answer: [13, 93, 80, 98, 78]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "214 is what percentage of 384?"
},
{
"role": "assistant",
"content": "<reasoning>\n(214/384) × 100 = 55.7292%.\n</reasoning>\nFinal Answer: 55.7292%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -70 - -811"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -811 from -70: -70 - -811 = 741.\n</reasoning>\nFinal Answer: 741"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -575 mod -578"
},
{
"role": "assistant",
"content": "<reasoning>\n-575 mod -578: -575 = -578 × 0 + -575, so remainder = -575.\n</reasoning>\nFinal Answer: -575"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 41, 6, 75, 10, 89, 5, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 5 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 177 km/h. How far does it travel in 11 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 31/60 = 11.5167 hours. Distance = speed × time = 177 × 11.5167 = 2038.45 km.\n</reasoning>\nFinal Answer: 2038.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 305 × 123"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 305 by 123: 305 × 123 = 37515.\n</reasoning>\nFinal Answer: 37515"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 122 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 122 × (1 + 25/100) = 122 × 1.25 = 152.5.\n</reasoning>\nFinal Answer: 152.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -37 = -49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 12x = -12. Divide by 12: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [77, 15, 45, 72, 44, 21, 46, 58, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 442/9 = 49.1111.\n</reasoning>\nFinal Answer: 49.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:17 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/17, so B = A × (17/37) = 54 × 17/37 = 24.8108.\n</reasoning>\nFinal Answer: 24.8108"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 37. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 37 ≈ 232.4779.\n</reasoning>\nFinal Answer: 232.4779"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Calculate: -89 ÷ 864"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -89 by 864. -89 ÷ 864 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-16)x + (-40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -16² - 4×2×-40 = 576. √discriminant = 24. x = (-(-16) ± 24) / (2×2). Solutions: x = -2 or x = 10.\n</reasoning>\nFinal Answer: x = -2 or x = 1... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 18/13 * 8/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/13) × (8/4) = (144/52) = 36/13 after simplification.\n</reasoning>\nFinal Answer: 36/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19673 at 10% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19673 × 10 × 1 / 100 = 1967.3.\n</reasoning>\nFinal Answer: 1967.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 / 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/11) ÷ (7/16) = (3/11) × (16/7) = 48/77.\n</reasoning>\nFinal Answer: 48/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -522 + -99"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -522 and -99: -522 + -99 = -621.\n</reasoning>\nFinal Answer: -621"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 44) * (6 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+44)=73, (6-8)=-2, then 73×-2=-146.\n</reasoning>\nFinal Answer: -146"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 618 × 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 618 by 27: 618 × 27 = 16686.\n</reasoning>\nFinal Answer: 16686"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 176 km/h. How far does it travel in 4 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 9/60 = 4.1500 hours. Distance = speed × time = 176 × 4.1500 = 730.4 km.\n</reasoning>\nFinal Answer: 730.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 765 mod -708"
},
{
"role": "assistant",
"content": "<reasoning>\n765 mod -708: 765 = -708 × -2 + -651, so remainder = -651.\n</reasoning>\nFinal Answer: -651"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/5 + 11/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/5 + 11/4. Common denominator = 20. Result = 71/20.\n</reasoning>\nFinal Answer: 71/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 3 + 41 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×3=15 and 41×39=1599, then add: 1614.\n</reasoning>\nFinal Answer: 1614"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 860 km apart. Their speeds are 79 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+94=173 km/h. Time = 860/173 = 4.9711 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 7% of 565?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 565 = (7/100) × 565 = 39.55.\n</reasoning>\nFinal Answer: 39.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 28) * (50 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+28)=59, (50-4)=46, then 59×46=2714.\n</reasoning>\nFinal Answer: 2714"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 15% of 509?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 509 = (15/100) × 509 = 76.35.\n</reasoning>\nFinal Answer: 76.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
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