messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 132 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(132,4) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -325 - -594"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -594 from -325: -325 - -594 = 269.\n</reasoning>\nFinal Answer: 269"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 11 * 9 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×9=99, then 36+99-15=120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 39, 55, 17, 39, 64, 86, 95, 55, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 17, 38, 39, 39, 55, 55, 64, 86, 95]. Middle value(s) → median = 47.0.\n</reasoning>\nFinal Answer: 47.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 46 = -598"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 28x = -644. Divide by 28: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 952 km apart. Their speeds are 43 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 43+85=128 km/h. Time = 952/128 = 7.4375 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×30)/1 = 330.\n</reasoning>\nFinal Answer: 330"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 51 and 57."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(51,57) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -27 = 567"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 22x = 594. Divide by 22: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/4 + 15/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/4 + 15/1. Common denominator = 1. Result = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [8, 10, 17] and B = [1, 8, 12, 14, 15, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 17].\n</reasoning>\nFinal Answer: [10, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 321 km apart. Their speeds are 113 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+80=193 km/h. Time = 321/193 = 1.6632 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 974 - 120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 120 from 974: 974 - 120 = 854.\n</reasoning>\nFinal Answer: 854"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 80, 49, 12, 71, 83, 62, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 12, 32, 49, 62, 71, 80, 83]. Middle value(s) → median = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 8, 12, 16, 17] and B = [3, 6, 7, 10, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 5, 8, 12, 16].\n</reasoning>\nFinal Answer: [2, 5, 8, 12, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 198 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(198,37) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 11 = 173"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 9x = 162. Divide by 9: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 15 = 71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 28x = 56. Divide by 28: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 30 = 380"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 7x = 350. Divide by 7: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "183 is what percentage of 555?"
},
{
"role": "assistant",
"content": "<reasoning>\n(183/555) × 100 = 32.973%.\n</reasoning>\nFinal Answer: 32.973%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [46, 95, 10, 15, 25, 26, 41, 94, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 402/9 = 44.6667.\n</reasoning>\nFinal Answer: 44.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 17 + 3 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×17=102 and 3×27=81, then add: 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 7 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 4/11 = 0.3636.\n</reasoning>\nFinal Answer: 0.3636"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:17 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/17, so B = A × (17/46) = 1 × 17/46 = 0.3696.\n</reasoning>\nFinal Answer: 0.3696"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 41, 74, 70, 75, 80, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 486/7 = 69.4286.\n</reasoning>\nFinal Answer: 69.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 - 18/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/19 - 18/16. LCD = 152. Result = -35/152.\n</reasoning>\nFinal Answer: -35/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 53 apples and buys 114 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 53 + 114 = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 - 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/19 - 5/5. LCD = 19. Result = -10/19.\n</reasoning>\nFinal Answer: -10/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 15, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (29-1)×15 = 48 + 420 = 468.\n</reasoning>\nFinal Answer: 468"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 14 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 14 × 88 = 1232.\n</reasoning>\nFinal Answer: 1232"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 + 2/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/7 + 2/18. Common denominator = 63. Result = 151/63.\n</reasoning>\nFinal Answer: 151/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 9 = 763"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 26x = 754. Divide by 26: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 510 km apart. Their speeds are 46 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+84=130 km/h. Time = 510/130 = 3.9231 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 80 and 132."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(80,132) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 94, 55, 73, 75, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 47 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 13 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 13 = 130 worker-days. New time = 130 / 20 = 6.5 days.\n</reasoning>\nFinal Answer: 6.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [41, 80, 62, 29, 85, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [29, 33, 41, 62, 80, 85]. Middle value(s) → median = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 - 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/12 - 19/17. LCD = 204. Result = -143/204.\n</reasoning>\nFinal Answer: -143/204"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -2 = -782"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 30x = -780. Divide by 30: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 938 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 938 × (1 - 100/100) = 938 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 27 apples and buys 73 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 27 + 73 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 139 apples and buys 200 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 139 + 200 = 339.\n</reasoning>\nFinal Answer: 339"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:19 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/19, so B = A × (19/6) = 6 × 19/6 = 19.0.\n</reasoning>\nFinal Answer: 19.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 17) * (6 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+17)=37, (6-26)=-20, then 37×-20=-740.\n</reasoning>\nFinal Answer: -740"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 9, 10, 18] and B = [2, 5, 9, 10, 12, 14, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 5, 6, 12, 14, 17, 18].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 - 2/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/16 - 2/8. LCD = 4. Result = 1/4.\n</reasoning>\nFinal Answer: 1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 883 - -895"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -895 from 883: 883 - -895 = 1778.\n</reasoning>\nFinal Answer: 1778"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 36 apples and buys 117 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 36 + 117 = 153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 27 apples and buys 7 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 27 + 7 = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -440 + 463"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -440 and 463: -440 + 463 = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 107 and 198."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(107,198) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28934 at 4% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28934 × 4 × 9 / 100 = 10416.24.\n</reasoning>\nFinal Answer: 10416.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11142 at 16% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11142 × 16 × 6 / 100 = 10696.32.\n</reasoning>\nFinal Answer: 10696.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -802 ÷ 60"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -802 by 60. -802 ÷ 60 = -14 (integer division).\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [7, 43, 73, 89, 61, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {7: 1, 43: 1, 73: 1, 89: 1, 61: 1, 42: 1}. Most frequent: [7, 43, 73, 89, 61, 42].\n</reasoning>\nFinal Answer: [7, 43, 73, 89, 61, 42]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 64 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 64 × 86 = 5504.\n</reasoning>\nFinal Answer: 5504"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 13 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (13×39)/13 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Increase 168 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 168 × (1 + 60/100) = 168 × 1.6 = 268.8.\n</reasoning>\nFinal Answer: 268.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 5 + 39 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×5=120 and 39×40=1560, then add: 1680.\n</reasoning>\nFinal Answer: 1680"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [51, 77, 64, 27, 37, 74, 15, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {51: 1, 77: 1, 64: 1, 27: 1, 37: 1, 74: 1, 15: 1, 3: 1}. Most frequent: [51, 77, 64, 27, 37, 74, 15, 3].\n</reasoning>\nFinal Answer: [51, 77, 64... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 518 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 518 × (1 - 30/100) = 518 × 0.7 = 362.6.\n</reasoning>\nFinal Answer: 362.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 10, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (49-1)×10 = 10 + 480 = 490.\n</reasoning>\nFinal Answer: 490"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -11 = 229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 12x = 240. Divide by 12: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 634 ÷ 203"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 634 by 203. 634 ÷ 203 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 + 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/13 + 18/12. Common denominator = 26. Result = 47/26.\n</reasoning>\nFinal Answer: 47/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 215 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 215 × (1 - 65/100) = 215 × 0.35 = 75.25.\n</reasoning>\nFinal Answer: 75.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 18 + 117"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 18 and 117: 18 + 117 = 135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -412 + -587"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -412 and -587: -412 + -587 = -999.\n</reasoning>\nFinal Answer: -999"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [85, 100, 32, 63, 84, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {85: 1, 100: 1, 32: 1, 63: 1, 84: 1, 69: 1}. Most frequent: [85, 100, 32, 63, 84, 69].\n</reasoning>\nFinal Answer: [85, 100, 32, 63, 84, 69]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 19, and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 19 + 22 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 307 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 307 × (1 + 80/100) = 307 × 1.8 = 552.6.\n</reasoning>\nFinal Answer: 552.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 812 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 812 × (1 + 80/100) = 812 × 1.8 = 1461.6.\n</reasoning>\nFinal Answer: 1461.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -4 = 546"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 22x = 550. Divide by 22: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 86 and width 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 86 × 76 = 6536.\n</reasoning>\nFinal Answer: 6536"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -24 = -508"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 11x = -484. Divide by 11: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 919 + 616"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 919 and 616: 919 + 616 = 1535.\n</reasoning>\nFinal Answer: 1535"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 + 18/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/20 + 18/8. Common denominator = 20. Result = 13/5.\n</reasoning>\nFinal Answer: 13/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 568 - -147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -147 from 568: 568 - -147 = 715.\n</reasoning>\nFinal Answer: 715"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 44 = 314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 10x = 270. Divide by 10: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -442 - 89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 89 from -442: -442 - 89 = -531.\n</reasoning>\nFinal Answer: -531"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -111 × 865"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -111 by 865: -111 × 865 = -96015.\n</reasoning>\nFinal Answer: -96015"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 33 = 123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 30x = 90. Divide by 30: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 50 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (50×50)/50 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:46 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/46, so B = A × (46/42) = 56 × 46/42 = 61.3333.\n</reasoning>\nFinal Answer: 61.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -824 × -212"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -824 by -212: -824 × -212 = 174688.\n</reasoning>\nFinal Answer: 174688"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:2 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/2, so B = A × (2/44) = 65 × 2/44 = 2.9545.\n</reasoning>\nFinal Answer: 2.9545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -31 = 35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 3x = 66. Divide by 3: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 0 = 323"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 19x = 323. Divide by 19: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:37 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/37, so B = A × (37/31) = 46 × 37/31 = 54.9032.\n</reasoning>\nFinal Answer: 54.9032"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -595 - -709"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -709 from -595: -595 - -709 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -584 mod 604"
},
{
"role": "assistant",
"content": "<reasoning>\n-584 mod 604: -584 = 604 × -1 + 20, so remainder = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18987 at 6% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18987 × 6 × 8 / 100 = 9113.76.\n</reasoning>\nFinal Answer: 9113.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -742 ÷ -662"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -742 by -662. -742 ÷ -662 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -984 × 378"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -984 by 378: -984 × 378 = -371952.\n</reasoning>\nFinal Answer: -371952"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 35% of 132?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 132 = (35/100) × 132 = 46.2.\n</reasoning>\nFinal Answer: 46.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 33) * (10 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+33)=66, (10-41)=-31, then 66×-31=-2046.\n</reasoning>\nFinal Answer: -2046"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 31 and 199."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(31,199) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [13, 16, 17] and B = [4, 8, 9, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 8, 9, 13, 15, 16, 17].\n</reasoning>\nFinal Answer: [4, 8, 9, 13, 15, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [20, 23, 26, 29, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 20 and common difference 3. Next term = 32 + 3 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 540 km apart. Their speeds are 57 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 57+110=167 km/h. Time = 540/167 = 3.2335 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
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