messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 41) * (27 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+41)=46, (27-37)=-10, then 46×-10=-460.\n</reasoning>\nFinal Answer: -460"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/1 + 2/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/1 + 2/20. Common denominator = 10. Result = 11/10.\n</reasoning>\nFinal Answer: 11/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 481 ÷ 146"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 481 by 146. 481 ÷ 146 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -462 + -572"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -462 and -572: -462 + -572 = -1034.\n</reasoning>\nFinal Answer: -1034"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -570 × 854"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -570 by 854: -570 × 854 = -486780.\n</reasoning>\nFinal Answer: -486780"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/5 - 15/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/5 - 15/11. LCD = 55. Result = 46/55.\n</reasoning>\nFinal Answer: 46/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 52 km/h. How far does it travel in 9 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 5/60 = 9.0833 hours. Distance = speed × time = 52 × 9.0833 = 472.3333 km.\n</reasoning>\nFinal Answer: 472.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/4 * 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/4) × (3/15) = (36/60) = 3/5 after simplification.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -144 - -169"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -169 from -144: -144 - -169 = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 200 and 138."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(200,138) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [56, 86, 67, 62, 32, 74, 60, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 444/8 = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 222."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 222 by smallest primes repeatedly: 222 = 2 × 3 × 37.\n</reasoning>\nFinal Answer: 2 × 3 × 37"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "A bag has 3 red and 5 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 5/8 = 0.625.\n</reasoning>\nFinal Answer: 0.625"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Simplify: 10/4 + 5/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/4 + 5/6. Common denominator = 6. Result = 10/3.\n</reasoning>\nFinal Answer: 10/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1033. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1033 × 12/100 = 123.96. Total = 1033 + 123.96 = 1156.96.\n</reasoning>\nFinal Answer: 1156.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 12 + 33 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×12=36 and 33×43=1419, then add: 1455.\n</reasoning>\nFinal Answer: 1455"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 5, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (27-1)×5 = 14 + 130 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43332 at 14% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43332 × 14 × 10 / 100 = 60664.8.\n</reasoning>\nFinal Answer: 60664.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 76 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 76 × 83 = 6308.\n</reasoning>\nFinal Answer: 6308"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -16 = 1318"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 29x = 1334. Divide by 29: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 30 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(30+10) = 2×40 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 420 × 54"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 420 by 54: 420 × 54 = 22680.\n</reasoning>\nFinal Answer: 22680"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (34)x + (144) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 34² - 4×2×144 = 4. √discriminant = 2. x = (-(34) ± 2) / (2×2). Solutions: x = -9 or x = -8.\n</reasoning>\nFinal Answer: x = -9 or x = -8"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 2) * (20 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+2)=35, (20-1)=19, then 35×19=665.\n</reasoning>\nFinal Answer: 665"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31994 at 1% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31994 × 1 × 6 / 100 = 1919.64.\n</reasoning>\nFinal Answer: 1919.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 15% of 767?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 767 = (15/100) × 767 = 115.05.\n</reasoning>\nFinal Answer: 115.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19895 at 5% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19895 × 5 × 1 / 100 = 994.75.\n</reasoning>\nFinal Answer: 994.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 923 - 162"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 162 from 923: 923 - 162 = 761.\n</reasoning>\nFinal Answer: 761"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 140 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 140 × (1 + 10/100) = 140 × 1.1 = 154.0.\n</reasoning>\nFinal Answer: 154.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -741 × 222"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -741 by 222: -741 × 222 = -164502.\n</reasoning>\nFinal Answer: -164502"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 149 km/h. How far does it travel in 6 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 12/60 = 6.2000 hours. Distance = speed × time = 149 × 6.2000 = 923.8 km.\n</reasoning>\nFinal Answer: 923.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 194 apples and buys 190 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 194 + 190 = 384.\n</reasoning>\nFinal Answer: 384"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -120 × -749"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -120 by -749: -120 × -749 = 89880.\n</reasoning>\nFinal Answer: 89880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 24, 32, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 24 + 32 + 37 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -662 ÷ 815"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -662 by 815. -662 ÷ 815 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 57, 9, 63, 17, 78, 78, 51, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 9, 17, 51, 53, 57, 63, 78, 78]. Middle value(s) → median = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 - 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/7 - 5/17. LCD = 119. Result = 254/119.\n</reasoning>\nFinal Answer: 254/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 88 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(88+2) = 2×90 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 79, 39, 76, 74, 75, 13, 29, 76, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 569/10 = 56.9.\n</reasoning>\nFinal Answer: 56.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:22 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/22, so B = A × (22/24) = 97 × 22/24 = 88.9167.\n</reasoning>\nFinal Answer: 88.9167"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 28 * 34 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×34=952, then 47+952-2=997.\n</reasoning>\nFinal Answer: 997"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 5, 8, 13, 18] and B = [1, 3, 8, 11, 15, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 5, 8, 11, 13, 15, 17, 18].\n</reasoning>\nFinal Answer: [1, 3, 4, 5, 8... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -879 × 0"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -879 by 0: -879 × 0 = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 41 apples and buys 44 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 41 + 44 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -338 ÷ 676"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -338 by 676. -338 ÷ 676 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 16 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 2x = 34. Divide by 2: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 11, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (34-1)×11 = 23 + 363 = 386.\n</reasoning>\nFinal Answer: 386"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×26)/2 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [85, 83, 72, 44, 17, 27, 24, 30, 84, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 16 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 19 * 43 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×43=817, then 50+817-37=830.\n</reasoning>\nFinal Answer: 830"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 34 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+34) × 29 = 1174.5.\n</reasoning>\nFinal Answer: 1174.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 136."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 136 by smallest primes repeatedly: 136 = 2 × 2 × 2 × 17.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 17"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -822 + -556"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -822 and -556: -822 + -556 = -1378.\n</reasoning>\nFinal Answer: -1378"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 13, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (20-1)×13 = 48 + 247 = 295.\n</reasoning>\nFinal Answer: 295"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 7/11 / 20/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/11) ÷ (20/13) = (7/11) × (13/20) = 91/220.\n</reasoning>\nFinal Answer: 91/220"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 177 + -262"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 177 and -262: 177 + -262 = -85.\n</reasoning>\nFinal Answer: -85"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -4 = 446"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 18x = 450. Divide by 18: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "273 is what percentage of 774?"
},
{
"role": "assistant",
"content": "<reasoning>\n(273/774) × 100 = 35.2713%.\n</reasoning>\nFinal Answer: 35.2713%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 29, 51, 75, 83, 79, 32, 64, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 13 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:26 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/26, so B = A × (26/7) = 18 × 26/7 = 66.8571.\n</reasoning>\nFinal Answer: 66.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-33)x + (84) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -33² - 4×3×84 = 81. √discriminant = 9. x = (-(-33) ± 9) / (2×3). Solutions: x = 4 or x = 7.\n</reasoning>\nFinal Answer: x = 4 or x = 7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [100, 97, 89, 12, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 89, 91, 97, 100]. Middle value(s) → median = 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 76 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(76+16) = 2×92 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is the probability of drawing a jack from a standard deck of 52 cards?"
},
{
"role": "assistant",
"content": "<reasoning>\nThere are 4 jacks in 52 cards. P = 4/52 = 1/13 ≈ 0.0769.\n</reasoning>\nFinal Answer: 4/52 = 1/13 ≈ 0.0769"
}
] | easy | [
"probability",
"cards"
] |
[
{
"role": "user",
"content": "Calculate: 146 + 948"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 146 and 948: 146 + 948 = 1094.\n</reasoning>\nFinal Answer: 1094"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 32) * (24 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+32)=63, (24-11)=13, then 63×13=819.\n</reasoning>\nFinal Answer: 819"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1176. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1176 × 18/100 = 211.68. Total = 1176 + 211.68 = 1387.68.\n</reasoning>\nFinal Answer: 1387.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "167 is what percentage of 289?"
},
{
"role": "assistant",
"content": "<reasoning>\n(167/289) × 100 = 57.7855%.\n</reasoning>\nFinal Answer: 57.7855%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -612 ÷ -748"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -612 by -748. -612 ÷ -748 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [26, 66, 69, 83, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 333/5 = 66.6.\n</reasoning>\nFinal Answer: 66.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -3 = 1037"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 26x = 1040. Divide by 26: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 16 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 2+256-46=212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/2 - 3/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/2 - 3/9. LCD = 3. Result = 23/3.\n</reasoning>\nFinal Answer: 23/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -35 = -125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 15x = -90. Divide by 15: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 28 + 5 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×28=28 and 5×2=10, then add: 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 24 - -960"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -960 from 24: 24 - -960 = 984.\n</reasoning>\nFinal Answer: 984"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [46, 57, 68, 79, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 46 and common difference 11. Next term = 90 + 11 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 895 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 895 × (1 - 5/100) = 895 × 0.95 = 850.25.\n</reasoning>\nFinal Answer: 850.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 369 × 668"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 369 by 668: 369 × 668 = 246492.\n</reasoning>\nFinal Answer: 246492"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "154 is what percentage of 415?"
},
{
"role": "assistant",
"content": "<reasoning>\n(154/415) × 100 = 37.1084%.\n</reasoning>\nFinal Answer: 37.1084%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -225 + -340"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -225 and -340: -225 + -340 = -565.\n</reasoning>\nFinal Answer: -565"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 172 + 605"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 172 and 605: 172 + 605 = 777.\n</reasoning>\nFinal Answer: 777"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "165 is what percentage of 466?"
},
{
"role": "assistant",
"content": "<reasoning>\n(165/466) × 100 = 35.4077%.\n</reasoning>\nFinal Answer: 35.4077%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 682 mod 800"
},
{
"role": "assistant",
"content": "<reasoning>\n682 mod 800: 682 = 800 × 0 + 682, so remainder = 682.\n</reasoning>\nFinal Answer: 682"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/13 + 13/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/13 + 13/12. Common denominator = 156. Result = 193/156.\n</reasoning>\nFinal Answer: 193/156"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 373 mod -623"
},
{
"role": "assistant",
"content": "<reasoning>\n373 mod -623: 373 = -623 × -1 + -250, so remainder = -250.\n</reasoning>\nFinal Answer: -250"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -33 = 417"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 30x = 450. Divide by 30: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -49 = 212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 29x = 261. Divide by 29: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 75 and 142."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(75,142) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -25 mod 730"
},
{
"role": "assistant",
"content": "<reasoning>\n-25 mod 730: -25 = 730 × -1 + 705, so remainder = 705.\n</reasoning>\nFinal Answer: 705"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 26) * (39 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+26)=63, (39-13)=26, then 63×26=1638.\n</reasoning>\nFinal Answer: 1638"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 3."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 3 by smallest primes repeatedly: 3 = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -18 = -920"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 22x = -902. Divide by 22: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 20% of 366?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 366 = (20/100) × 366 = 73.2.\n</reasoning>\nFinal Answer: 73.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "140 is what percentage of 614?"
},
{
"role": "assistant",
"content": "<reasoning>\n(140/614) × 100 = 22.8013%.\n</reasoning>\nFinal Answer: 22.8013%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 36 and common difference 16, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 36 + (19-1)×16 = 36 + 288 = 324.\n</reasoning>\nFinal Answer: 324"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 768 × 280"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 768 by 280: 768 × 280 = 215040.\n</reasoning>\nFinal Answer: 215040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 519 - 659"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 659 from 519: 519 - 659 = -140.\n</reasoning>\nFinal Answer: -140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -38 = -956"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 27x = -918. Divide by 27: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 357 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 357 × (1 + 60/100) = 357 × 1.6 = 571.2.\n</reasoning>\nFinal Answer: 571.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
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