messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mean of: [41, 27, 63, 45, 47, 84, 80, 16, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 493/9 = 54.7778.\n</reasoning>\nFinal Answer: 54.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 15 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 15 × 42 = 630.\n</reasoning>\nFinal Answer: 630"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 942 km apart. Their speeds are 74 km/h and 90 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+90=164 km/h. Time = 942/164 = 5.7439 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/2 * 11/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/2) × (11/18) = (154/36) = 77/18 after simplification.\n</reasoning>\nFinal Answer: 77/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 50, 23 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (50+23) × 2 = 73.0.\n</reasoning>\nFinal Answer: 73.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 49 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 49 × 40 = 980.0.\n</reasoning>\nFinal Answer: 980.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 48 + 9 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×48=1728 and 9×18=162, then add: 1890.\n</reasoning>\nFinal Answer: 1890"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 51 km/h. How far does it travel in 3 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 29/60 = 3.4833 hours. Distance = speed × time = 51 × 3.4833 = 177.65 km.\n</reasoning>\nFinal Answer: 177.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 163 + 559"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 163 and 559: 163 + 559 = 722.\n</reasoning>\nFinal Answer: 722"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 68 - -445"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -445 from 68: 68 - -445 = 513.\n</reasoning>\nFinal Answer: 513"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -952 × 71"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -952 by 71: -952 × 71 = -67592.\n</reasoning>\nFinal Answer: -67592"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 27 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 27 × 84 = 2268.\n</reasoning>\nFinal Answer: 2268"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -637 mod -55"
},
{
"role": "assistant",
"content": "<reasoning>\n-637 mod -55: -637 = -55 × 11 + -32, so remainder = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:19 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/19, so B = A × (19/37) = 54 × 19/37 = 27.7297.\n</reasoning>\nFinal Answer: 27.7297"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 4 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(4+46) = 2×50 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 17 = 517"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 20x = 500. Divide by 20: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 929 mod -642"
},
{
"role": "assistant",
"content": "<reasoning>\n929 mod -642: 929 = -642 × -2 + -355, so remainder = -355.\n</reasoning>\nFinal Answer: -355"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 97 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 97 × 14 = 679.0.\n</reasoning>\nFinal Answer: 679.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -985 × 620"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -985 by 620: -985 × 620 = -610700.\n</reasoning>\nFinal Answer: -610700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 33, 92, 26, 87, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 1, 33: 1, 92: 1, 26: 1, 87: 1, 93: 1}. Most frequent: [69, 33, 92, 26, 87, 93].\n</reasoning>\nFinal Answer: [69, 33, 92, 26, 87, 93]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 80, 31, 39, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 221/5 = 44.2.\n</reasoning>\nFinal Answer: 44.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 28, 15, 82, 21, 39, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 15 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 2 * 40 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×40=80, then 18+80-42=56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4883. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4883 × 18/100 = 878.94. Total = 4883 + 878.94 = 5761.94.\n</reasoning>\nFinal Answer: 5761.94"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 94 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 94 × 59 = 5546.\n</reasoning>\nFinal Answer: 5546"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -438 ÷ 923"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -438 by 923. -438 ÷ 923 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 149 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n149 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: -538 ÷ 758"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -538 by 758. -538 ÷ 758 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 31, 38, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 31 + 38 + 40 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 44 = 1782.0.\n</reasoning>\nFinal Answer: 1782.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 - 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/14 - 17/13. LCD = 91. Result = -80/91.\n</reasoning>\nFinal Answer: -80/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 352 km apart. Their speeds are 48 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 48+114=162 km/h. Time = 352/162 = 2.1728 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 3 and height 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 3 × 55 = 165.\n</reasoning>\nFinal Answer: 165"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 23, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 23 + 34 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "519 is what percentage of 942?"
},
{
"role": "assistant",
"content": "<reasoning>\n(519/942) × 100 = 55.0955%.\n</reasoning>\nFinal Answer: 55.0955%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -19 = -393"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 11x = -374. Divide by 11: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 9 + 7 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×9=315 and 7×8=56, then add: 371.\n</reasoning>\nFinal Answer: 371"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 14, and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 14 + 17 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [31, 45, 59, 73, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 31 and common difference 14. Next term = 87 + 14 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 183 apples and buys 27 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 183 + 27 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-18)x + (24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -18² - 4×3×24 = 36. √discriminant = 6. x = (-(-18) ± 6) / (2×3). Solutions: x = 2 or x = 4.\n</reasoning>\nFinal Answer: x = 2 or x = 4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:50 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/50, so B = A × (50/37) = 29 × 50/37 = 39.1892.\n</reasoning>\nFinal Answer: 39.1892"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [7, 11, 15, 16] and B = [4, 7, 10, 12, 13, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 7, 10, 11, 12, 13, 15, 16, 17].\n</reasoning>\nFinal Answer: [4, 7, 10, 11, 12, 13,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 3% of 594?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 594 = (3/100) × 594 = 17.82.\n</reasoning>\nFinal Answer: 17.82"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 13, and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 13 + 13 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 107 km/h. How far does it travel in 12 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 40/60 = 12.6667 hours. Distance = speed × time = 107 × 12.6667 = 1355.3333 km.\n</reasoning>\nFinal Answer: 1355.3333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -50 = 600"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 25x = 650. Divide by 25: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×15)/3 = 165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 5 * 39 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×39=195, then 48+195-16=227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-56)x + (192) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -56² - 4×4×192 = 64. √discriminant = 8. x = (-(-56) ± 8) / (2×4). Solutions: x = 8 or x = 6.\n</reasoning>\nFinal Answer: x = 8 or x = 6"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 92 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 92 × 99 = 9108.\n</reasoning>\nFinal Answer: 9108"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [82, 68, 98, 91, 68, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 460/6 = 76.6667.\n</reasoning>\nFinal Answer: 76.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the square root of 81."
},
{
"role": "assistant",
"content": "<reasoning>\n√81 = 9 because 9² = 81.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "Calculate: 451 - -404"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -404 from 451: 451 - -404 = 855.\n</reasoning>\nFinal Answer: 855"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 93?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 93 = (80/100) × 93 = 74.4.\n</reasoning>\nFinal Answer: 74.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 + 2/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/1 + 2/20. Common denominator = 10. Result = 151/10.\n</reasoning>\nFinal Answer: 151/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -25 = 389"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 9x = 414. Divide by 9: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -48 = 29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 7x = 77. Divide by 7: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 28 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 28 = 280 worker-days. New time = 280 / 16 = 17.5 days.\n</reasoning>\nFinal Answer: 17.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -301 × 392"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -301 by 392: -301 × 392 = -117992.\n</reasoning>\nFinal Answer: -117992"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -7 = -282"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 25x = -275. Divide by 25: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -5 = 59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 8x = 64. Divide by 8: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/17 * 15/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/17) × (15/11) = (195/187) = 195/187 after simplification.\n</reasoning>\nFinal Answer: 195/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -30 = -246"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 24x = -216. Divide by 24: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 97 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 97 × 6 = 291.0.\n</reasoning>\nFinal Answer: 291.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 48 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+48) × 1 = 25.0.\n</reasoning>\nFinal Answer: 25.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -17 mod 997"
},
{
"role": "assistant",
"content": "<reasoning>\n-17 mod 997: -17 = 997 × -1 + 980, so remainder = 980.\n</reasoning>\nFinal Answer: 980"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/1 * 15/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/1) × (15/20) = (105/20) = 21/4 after simplification.\n</reasoning>\nFinal Answer: 21/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4431. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4431 × 18/100 = 797.58. Total = 4431 + 797.58 = 5228.58.\n</reasoning>\nFinal Answer: 5228.58"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -193 - 198"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 198 from -193: -193 - 198 = -391.\n</reasoning>\nFinal Answer: -391"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/19 + 16/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/19 + 16/7. Common denominator = 133. Result = 325/133.\n</reasoning>\nFinal Answer: 325/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -3 = 492"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 11x = 495. Divide by 11: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 29, 35, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 29 + 35 + 37 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 307 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 307 × (1 + 35/100) = 307 × 1.35 = 414.45.\n</reasoning>\nFinal Answer: 414.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 83 and width 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 72 = 5976.\n</reasoning>\nFinal Answer: 5976"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 52 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(52+7) = 2×59 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 31 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 12+961-21=952.\n</reasoning>\nFinal Answer: 952"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:24 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/24, so B = A × (24/23) = 16 × 24/23 = 16.6957.\n</reasoning>\nFinal Answer: 16.6957"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 8 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 2x = -92. Divide by 2: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 15 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 10+225-36=199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/15 - 12/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/15 - 12/4. LCD = 15. Result = -43/15.\n</reasoning>\nFinal Answer: -43/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 15 ÷ 118"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 15 by 118. 15 ÷ 118 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 567 mod -529"
},
{
"role": "assistant",
"content": "<reasoning>\n567 mod -529: 567 = -529 × -2 + -491, so remainder = -491.\n</reasoning>\nFinal Answer: -491"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/4 + 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/4 + 8/12. Common denominator = 6. Result = 13/6.\n</reasoning>\nFinal Answer: 13/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 * 8/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/2) × (8/17) = (144/34) = 72/17 after simplification.\n</reasoning>\nFinal Answer: 72/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 274 km apart. Their speeds are 83 km/h and 75 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+75=158 km/h. Time = 274/158 = 1.7342 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -468 - 284"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 284 from -468: -468 - 284 = -752.\n</reasoning>\nFinal Answer: -752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 601 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 601 × (1 + 75/100) = 601 × 1.75 = 1051.75.\n</reasoning>\nFinal Answer: 1051.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 90% of 118?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 118 = (90/100) × 118 = 106.2.\n</reasoning>\nFinal Answer: 106.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 + 15/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/5 + 15/9. Common denominator = 15. Result = 34/15.\n</reasoning>\nFinal Answer: 34/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:10 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/10, so B = A × (10/23) = 10 × 10/23 = 4.3478.\n</reasoning>\nFinal Answer: 4.3478"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 27 + 48 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×27=891 and 48×26=1248, then add: 2139.\n</reasoning>\nFinal Answer: 2139"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/15 - 6/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/15 - 6/1. LCD = 15. Result = -89/15.\n</reasoning>\nFinal Answer: -89/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/5 / 6/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/5) ÷ (6/13) = (12/5) × (13/6) = 26/5.\n</reasoning>\nFinal Answer: 26/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [25, 72, 80, 14, 60, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 259/6 = 43.1667.\n</reasoning>\nFinal Answer: 43.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 51 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 51 × 26 = 1326.\n</reasoning>\nFinal Answer: 1326"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 254 mod 537"
},
{
"role": "assistant",
"content": "<reasoning>\n254 mod 537: 254 = 537 × 0 + 254, so remainder = 254.\n</reasoning>\nFinal Answer: 254"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -64 mod -516"
},
{
"role": "assistant",
"content": "<reasoning>\n-64 mod -516: -64 = -516 × 0 + -64, so remainder = -64.\n</reasoning>\nFinal Answer: -64"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 148 and 180."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(148,180) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -190 - 397"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 397 from -190: -190 - 397 = -587.\n</reasoning>\nFinal Answer: -587"
}
] | medium | [
"arithmetic",
"computation"
] |
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