messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 19x + -48 = -580"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 19x = -532. Divide by 19: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 26 + 45 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×26=520 and 45×48=2160, then add: 2680.\n</reasoning>\nFinal Answer: 2680"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:44 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/44, so B = A × (44/46) = 40 × 44/46 = 38.2609.\n</reasoning>\nFinal Answer: 38.2609"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 28 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 35+784-13=806.\n</reasoning>\nFinal Answer: 806"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -20 = -11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 1x = 9. Divide by 1: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 14, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (47-1)×14 = 21 + 644 = 665.\n</reasoning>\nFinal Answer: 665"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 157 km/h. How far does it travel in 10 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 0/60 = 10.0000 hours. Distance = speed × time = 157 × 10.0000 = 1570.0 km.\n</reasoning>\nFinal Answer: 1570.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 153 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 153 × (1 + 75/100) = 153 × 1.75 = 267.75.\n</reasoning>\nFinal Answer: 267.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 2) * (20 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+2)=13, (20-13)=7, then 13×7=91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 10] and B = [9, 12, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 6, 10].\n</reasoning>\nFinal Answer: [5, 6, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 9 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 1+81-38=44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -553 × 819"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -553 by 819: -553 × 819 = -452907.\n</reasoning>\nFinal Answer: -452907"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 517 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 517 × (1 - 60/100) = 517 × 0.4 = 206.8.\n</reasoning>\nFinal Answer: 206.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 9 * 26 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×26=234, then 2+234-34=202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (40)x + (35) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 40² - 4×5×35 = 900. √discriminant = 30. x = (-(40) ± 30) / (2×5). Solutions: x = -1 or x = -7.\n</reasoning>\nFinal Answer: x = -1 or x = -7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 33 + 28 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×33=297 and 28×7=196, then add: 493.\n</reasoning>\nFinal Answer: 493"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 29 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+29) × 28 = 854.0.\n</reasoning>\nFinal Answer: 854.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 12/1 * 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/1) × (1/3) = (12/3) = 4 after simplification.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -143 + -826"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -143 and -826: -143 + -826 = -969.\n</reasoning>\nFinal Answer: -969"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [98, 84, 96, 4, 30, 44, 61, 54, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {98: 1, 84: 1, 96: 1, 4: 1, 30: 1, 44: 1, 61: 1, 54: 1, 63: 1}. Most frequent: [98, 84, 96, 4, 30, 44, 61, 54, 63].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 415 km apart. Their speeds are 76 km/h and 40 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+40=116 km/h. Time = 415/116 = 3.5776 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 291 + -539"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 291 and -539: 291 + -539 = -248.\n</reasoning>\nFinal Answer: -248"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 25 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 4+625-20=609.\n</reasoning>\nFinal Answer: 609"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -658 mod 194"
},
{
"role": "assistant",
"content": "<reasoning>\n-658 mod 194: -658 = 194 × -4 + 118, so remainder = 118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 50% of 774?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 774 = (50/100) × 774 = 387.0.\n</reasoning>\nFinal Answer: 387.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 364 ÷ -736"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 364 by -736. 364 ÷ -736 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 188 apples and buys 84 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 188 + 84 = 272.\n</reasoning>\nFinal Answer: 272"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 354 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 354 × (1 - 5/100) = 354 × 0.95 = 336.3.\n</reasoning>\nFinal Answer: 336.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 12, 13, 16, 17] and B = [5, 6, 7, 9, 12, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 6, 7, 8, 9, 12, 13, 16, 17].\n</reasoning>\nFinal Answer: [1, 5, 6, 7, 8, 9... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 95 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(95+80) = 2×175 = 350.\n</reasoning>\nFinal Answer: 350"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 78 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 78 × 11 = 858.\n</reasoning>\nFinal Answer: 858"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/20 / 12/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/20) ÷ (12/20) = (19/20) × (20/12) = 19/12.\n</reasoning>\nFinal Answer: 19/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -11 = 1014"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 25x = 1025. Divide by 25: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:5 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/5, so B = A × (5/14) = 3 × 5/14 = 1.0714.\n</reasoning>\nFinal Answer: 1.0714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [10, 12, 16, 19] and B = [1, 5, 9, 13, 15, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×11)/1 = 539.\n</reasoning>\nFinal Answer: 539"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 154 km apart. Their speeds are 41 km/h and 75 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+75=116 km/h. Time = 154/116 = 1.3276 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "295 is what percentage of 640?"
},
{
"role": "assistant",
"content": "<reasoning>\n(295/640) × 100 = 46.0938%.\n</reasoning>\nFinal Answer: 46.0938%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 51 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 51 × 60 = 1530.0.\n</reasoning>\nFinal Answer: 1530.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (44)x + (40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 44² - 4×4×40 = 1296. √discriminant = 36. x = (-(44) ± 36) / (2×4). Solutions: x = -10 or x = -1.\n</reasoning>\nFinal Answer: x = -10 or x = -1"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the range of: [21, 41, 62, 19, 66, 10, 17, 22, 42, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 10 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 73 and width 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 73 × 89 = 6497.\n</reasoning>\nFinal Answer: 6497"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -34 = -484"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 15x = -450. Divide by 15: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 21 = 93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 18x = 72. Divide by 18: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -25 = 115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 7x = 140. Divide by 7: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 212."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 212 by smallest primes repeatedly: 212 = 2 × 2 × 53.\n</reasoning>\nFinal Answer: 2 × 2 × 53"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "A train travels at 101 km/h. How far does it travel in 12 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 51/60 = 12.8500 hours. Distance = speed × time = 101 × 12.8500 = 1297.85 km.\n</reasoning>\nFinal Answer: 1297.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 10 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 1x = 40. Divide by 1: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 902 - 885"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 885 from 902: 902 - 885 = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 26 = 1326.\n</reasoning>\nFinal Answer: 1326"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 983 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 983 × (1 + 60/100) = 983 × 1.6 = 1572.8.\n</reasoning>\nFinal Answer: 1572.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 52 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(52+19) = 2×71 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 23 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+23) × 17 = 212.5.\n</reasoning>\nFinal Answer: 212.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 48 + 36 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×48=1536 and 36×20=720, then add: 2256.\n</reasoning>\nFinal Answer: 2256"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 540 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 540 × (1 - 45/100) = 540 × 0.55 = 297.0.\n</reasoning>\nFinal Answer: 297.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 35 = 311"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 6x = 276. Divide by 6: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -847 - 298"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 298 from -847: -847 - 298 = -1145.\n</reasoning>\nFinal Answer: -1145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 23 + 30 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×23=851 and 30×25=750, then add: 1601.\n</reasoning>\nFinal Answer: 1601"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 10, 11, 17, 18] and B = [4, 6, 12, 15, 16, 17, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [6, 10, 11, 12, 15, 16, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "46 is what percentage of 164?"
},
{
"role": "assistant",
"content": "<reasoning>\n(46/164) × 100 = 28.0488%.\n</reasoning>\nFinal Answer: 28.0488%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 65% of 693?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 693 = (65/100) × 693 = 450.45.\n</reasoning>\nFinal Answer: 450.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -214 ÷ 203"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -214 by 203. -214 ÷ 203 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -4 = 172"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 8x = 176. Divide by 8: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:49 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/49, so B = A × (49/42) = 31 × 49/42 = 36.1667.\n</reasoning>\nFinal Answer: 36.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 29 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 29 = 87 worker-days. New time = 87 / 7 = 12.4286 days.\n</reasoning>\nFinal Answer: 12.4286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2443. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2443 × 5/100 = 122.15. Total = 2443 + 122.15 = 2565.15.\n</reasoning>\nFinal Answer: 2565.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 48 = -246"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 7x = -294. Divide by 7: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -223 + -326"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -223 and -326: -223 + -326 = -549.\n</reasoning>\nFinal Answer: -549"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 39 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+39) × 46 = 1150.0.\n</reasoning>\nFinal Answer: 1150.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 413."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 413 by smallest primes repeatedly: 413 = 7 × 59.\n</reasoning>\nFinal Answer: 7 × 59"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the mode of: [47, 3, 1, 10, 34, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {47: 1, 3: 1, 1: 1, 10: 1, 34: 1, 100: 1}. Most frequent: [47, 3, 1, 10, 34, 100].\n</reasoning>\nFinal Answer: [47, 3, 1, 10, 34, 100]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 42 = 28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 2x = -14. Divide by 2: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 542 + 108"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 542 and 108: 542 + 108 = 650.\n</reasoning>\nFinal Answer: 650"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 50, 36 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (50+36) × 28 = 1204.0.\n</reasoning>\nFinal Answer: 1204.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 58 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 58 × 18 = 522.0.\n</reasoning>\nFinal Answer: 522.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 24 * 1 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×1=24, then 6+24-38=-8.\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 66 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 66 × 20 = 1320.\n</reasoning>\nFinal Answer: 1320"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 * 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/11) × (18/12) = (234/132) = 39/22 after simplification.\n</reasoning>\nFinal Answer: 39/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 8, 11, 12, 19] and B = [3, 5, 11, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 7, 8, 11, 12, 18, 19].\n</reasoning>\nFinal Answer: [3, 4, 5, 7, 8, 11, 12, 18,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 17/4 * 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/4) × (20/14) = (340/56) = 85/14 after simplification.\n</reasoning>\nFinal Answer: 85/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 14 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 14 = 154 worker-days. New time = 154 / 14 = 11.0 days.\n</reasoning>\nFinal Answer: 11.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 35 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 35 × 12 = 420.\n</reasoning>\nFinal Answer: 420"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [36, 28, 17, 5, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 36 - 5 = 31.\n</reasoning>\nFinal Answer: 31"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 48 * 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×2=96, then 29+96-49=76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 11 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 11 = 22 worker-days. New time = 22 / 5 = 4.4 days.\n</reasoning>\nFinal Answer: 4.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/6 + 18/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/6 + 18/10. Common denominator = 10. Result = 43/10.\n</reasoning>\nFinal Answer: 43/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -33 = -815"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 17x = -782. Divide by 17: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 71."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 71 = 284.\n</reasoning>\nFinal Answer: 284"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 967 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 967 × (1 - 7/100) = 967 × 0.9299999999999999 = 899.31.\n</reasoning>\nFinal Answer: 899.31"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 560 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 560 × (1 - 12/100) = 560 × 0.88 = 492.8.\n</reasoning>\nFinal Answer: 492.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/6 / 5/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/6) ÷ (5/9) = (16/6) × (9/5) = 24/5.\n</reasoning>\nFinal Answer: 24/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 45) * (42 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+45)=65, (42-43)=-1, then 65×-1=-65.\n</reasoning>\nFinal Answer: -65"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 51 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 51 × (1 - 65/100) = 51 × 0.35 = 17.85.\n</reasoning>\nFinal Answer: 17.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 12 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 38+144-1=181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -48 = -188"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 14x = -140. Divide by 14: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 18 + 32 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×18=504 and 32×22=704, then add: 1208.\n</reasoning>\nFinal Answer: 1208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4859. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4859 × 18/100 = 874.62. Total = 4859 + 874.62 = 5733.62.\n</reasoning>\nFinal Answer: 5733.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 13 apples and buys 95 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 13 + 95 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [39, 94, 25, 18, 61, 53, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 339/7 = 48.4286.\n</reasoning>\nFinal Answer: 48.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [93, 89, 24, 72, 88, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {93: 1, 89: 1, 24: 1, 72: 1, 88: 1, 71: 1}. Most frequent: [93, 89, 24, 72, 88, 71].\n</reasoning>\nFinal Answer: [93, 89, 24, 72, 88, 71]"
}
] | easy | [
"statistics",
"mode"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.