messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 27 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+27) × 29 = 797.5.\n</reasoning>\nFinal Answer: 797.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [26, 15, 27, 61, 33, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 244/6 = 40.6667.\n</reasoning>\nFinal Answer: 40.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -36 = -291"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 15x = -255. Divide by 15: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 45 + 24 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×45=720 and 24×41=984, then add: 1704.\n</reasoning>\nFinal Answer: 1704"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:16 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/16, so B = A × (16/42) = 35 × 16/42 = 13.3333.\n</reasoning>\nFinal Answer: 13.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:6 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/6, so B = A × (6/33) = 68 × 6/33 = 12.3636.\n</reasoning>\nFinal Answer: 12.3636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1672. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1672 × 12/100 = 200.64. Total = 1672 + 200.64 = 1872.64.\n</reasoning>\nFinal Answer: 1872.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 72 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(72+60) = 2×132 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 9, 32, 60, 31, 79, 61, 38, 3, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 1, 9: 1, 32: 1, 60: 1, 31: 1, 79: 1, 61: 1, 38: 1, 3: 1, 48: 1}. Most frequent: [69, 9, 32, 60, 31, 79, 61, 38, 3, 48].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [18, 81, 57, 27, 27, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 279/6 = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Decrease 429 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 429 × (1 - 30/100) = 429 × 0.7 = 300.3.\n</reasoning>\nFinal Answer: 300.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:24 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/24, so B = A × (24/40) = 54 × 24/40 = 32.4.\n</reasoning>\nFinal Answer: 32.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 39, 15, 1, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 39: 1, 15: 1, 1: 1, 34: 1}. Most frequent: [99, 39, 15, 1, 34].\n</reasoning>\nFinal Answer: [99, 39, 15, 1, 34]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 247 ÷ 367"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 247 by 367. 247 ÷ 367 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 8 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 8 × 75 = 600.\n</reasoning>\nFinal Answer: 600"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 465 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 465 × (1 + 3/100) = 465 × 1.03 = 478.95.\n</reasoning>\nFinal Answer: 478.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 696 km apart. Their speeds are 97 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 97+80=177 km/h. Time = 696/177 = 3.9322 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -735 - -248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -248 from -735: -735 - -248 = -487.\n</reasoning>\nFinal Answer: -487"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 195?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 195 = (7/100) × 195 = 13.65.\n</reasoning>\nFinal Answer: 13.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 187 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 187 × (1 + 80/100) = 187 × 1.8 = 336.6.\n</reasoning>\nFinal Answer: 336.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 583 + 62"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 583 and 62: 583 + 62 = 645.\n</reasoning>\nFinal Answer: 645"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 25) * (37 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+25)=38, (37-31)=6, then 38×6=228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 2 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 18/60 = 2.3000 hours. Distance = speed × time = 95 × 2.3000 = 218.5 km.\n</reasoning>\nFinal Answer: 218.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 8 * 35 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×35=280, then 39+280-13=306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [16, 100, 29, 21, 4, 56, 12, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 12, 16, 21, 29, 56, 90, 100]. Middle value(s) → median = 25.0.\n</reasoning>\nFinal Answer: 25.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 23 = 437"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 18x = 414. Divide by 18: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 6, 25, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 6 + 25 + 30 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 + 8/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/12 + 8/6. Common denominator = 12. Result = 23/12.\n</reasoning>\nFinal Answer: 23/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 18 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 41+324-46=319.\n</reasoning>\nFinal Answer: 319"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/16 * 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/16) × (4/17) = (24/272) = 3/34 after simplification.\n</reasoning>\nFinal Answer: 3/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34304 at 17% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34304 × 17 × 6 / 100 = 34990.08.\n</reasoning>\nFinal Answer: 34990.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 176 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(176,37) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -17 = 88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 7x = 105. Divide by 7: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 353 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 353 × (1 - 25/100) = 353 × 0.75 = 264.75.\n</reasoning>\nFinal Answer: 264.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:23 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/23, so B = A × (23/35) = 48 × 23/35 = 31.5429.\n</reasoning>\nFinal Answer: 31.5429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 140 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(140,35) = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 36 + 32 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×36=972 and 32×33=1056, then add: 2028.\n</reasoning>\nFinal Answer: 2028"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -69 - -689"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -689 from -69: -69 - -689 = 620.\n</reasoning>\nFinal Answer: 620"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [22, 25, 7, 28, 93, 70, 91, 55, 15, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 7 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 217 km apart. Their speeds are 78 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 78+98=176 km/h. Time = 217/176 = 1.233 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/11 / 11/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/11) ÷ (11/9) = (4/11) × (9/11) = 36/121.\n</reasoning>\nFinal Answer: 36/121"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 437 mod 788"
},
{
"role": "assistant",
"content": "<reasoning>\n437 mod 788: 437 = 788 × 0 + 437, so remainder = 437.\n</reasoning>\nFinal Answer: 437"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 - 10/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/19 - 10/14. LCD = 133. Result = 10/133.\n</reasoning>\nFinal Answer: 10/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/3 + 12/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/3 + 12/9. Common denominator = 3. Result = 19/3.\n</reasoning>\nFinal Answer: 19/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/11 - 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/11 - 9/20. LCD = 20. Result = 11/20.\n</reasoning>\nFinal Answer: 11/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-48)x + (80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -48² - 4×4×80 = 1024. √discriminant = 32. x = (-(-48) ± 32) / (2×4). Solutions: x = 2 or x = 10.\n</reasoning>\nFinal Answer: x = 2 or x = 10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -704 - 336"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 336 from -704: -704 - 336 = -1040.\n</reasoning>\nFinal Answer: -1040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 2 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 22+4-3=23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 425 mod 137"
},
{
"role": "assistant",
"content": "<reasoning>\n425 mod 137: 425 = 137 × 3 + 14, so remainder = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/7 / 18/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/7) ÷ (18/11) = (1/7) × (11/18) = 11/126.\n</reasoning>\nFinal Answer: 11/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 16 and 157."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(16,157) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 41 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+41) × 23 = 908.5.\n</reasoning>\nFinal Answer: 908.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -143 + 84"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -143 and 84: -143 + 84 = -59.\n</reasoning>\nFinal Answer: -59"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 879 km apart. Their speeds are 104 km/h and 52 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+52=156 km/h. Time = 879/156 = 5.6346 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 4 = 1208"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 28x = 1204. Divide by 28: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -136 × -433"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -136 by -433: -136 × -433 = 58888.\n</reasoning>\nFinal Answer: 58888"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4810. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4810 × 18/100 = 865.8. Total = 4810 + 865.8 = 5675.8.\n</reasoning>\nFinal Answer: 5675.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 37 = -77"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 6x = -114. Divide by 6: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 22 = -52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 2x = -74. Divide by 2: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "309 is what percentage of 360?"
},
{
"role": "assistant",
"content": "<reasoning>\n(309/360) × 100 = 85.8333%.\n</reasoning>\nFinal Answer: 85.8333%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 + 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/10 + 15/2. Common denominator = 10. Result = 38/5.\n</reasoning>\nFinal Answer: 38/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 33, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 33 + 38 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 1/11 / 15/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/11) ÷ (15/20) = (1/11) × (20/15) = 4/33.\n</reasoning>\nFinal Answer: 4/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 19, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (50-1)×19 = 11 + 931 = 942.\n</reasoning>\nFinal Answer: 942"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 50, 60, 44, 17, 48, 4, 87, 13, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 445/10 = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 13 + 35 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×13=143 and 35×29=1015, then add: 1158.\n</reasoning>\nFinal Answer: 1158"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 17 = 748.0.\n</reasoning>\nFinal Answer: 748.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 49 and 133."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(49,133) = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 47 = -358"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 27x = -405. Divide by 27: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 260 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 260 × (1 + 100/100) = 260 × 2.0 = 520.0.\n</reasoning>\nFinal Answer: 520.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [23, 41, 28, 76, 85, 28, 66, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 23 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 67."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 67 by smallest primes repeatedly: 67 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 186 and 105."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(186,105) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 30 + 39 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×30=1140 and 39×2=78, then add: 1218.\n</reasoning>\nFinal Answer: 1218"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 518 - -976"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -976 from 518: 518 - -976 = 1494.\n</reasoning>\nFinal Answer: 1494"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 224 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 224 × (1 - 12/100) = 224 × 0.88 = 197.12.\n</reasoning>\nFinal Answer: 197.12"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 73."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 73 by smallest primes repeatedly: 73 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 8/3 - 2/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/3 - 2/4. LCD = 6. Result = 13/6.\n</reasoning>\nFinal Answer: 13/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -13 = 174"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 17x = 187. Divide by 17: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 17 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+17) × 28 = 658.0.\n</reasoning>\nFinal Answer: 658.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 + 12/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/8 + 12/3. Common denominator = 1. Result = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 18) * (24 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+18)=61, (24-35)=-11, then 61×-11=-671.\n</reasoning>\nFinal Answer: -671"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 40 = 310"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 18x = 270. Divide by 18: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 49 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(49,9) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "245 is what percentage of 270?"
},
{
"role": "assistant",
"content": "<reasoning>\n(245/270) × 100 = 90.7407%.\n</reasoning>\nFinal Answer: 90.7407%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 208 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 208 × (1 - 65/100) = 208 × 0.35 = 72.8.\n</reasoning>\nFinal Answer: 72.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 778 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 778 × (1 - 90/100) = 778 × 0.09999999999999998 = 77.8.\n</reasoning>\nFinal Answer: 77.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 / 19/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/7) ÷ (19/6) = (20/7) × (6/19) = 120/133.\n</reasoning>\nFinal Answer: 120/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 4 * 32 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×32=128, then 28+128-3=153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -12 = -1346"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 29x = -1334. Divide by 29: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:24 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/24, so B = A × (24/50) = 21 × 24/50 = 10.08.\n</reasoning>\nFinal Answer: 10.08"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:38 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/38, so B = A × (38/8) = 49 × 38/8 = 232.75.\n</reasoning>\nFinal Answer: 232.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [39, 53, 64, 77, 39, 34, 47, 89, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 492/9 = 54.6667.\n</reasoning>\nFinal Answer: 54.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 11 = -591"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 14x = -602. Divide by 14: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 339 + -769"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 339 and -769: 339 + -769 = -430.\n</reasoning>\nFinal Answer: -430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 190 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 190 × (1 - 100/100) = 190 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 766 - -317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -317 from 766: 766 - -317 = 1083.\n</reasoning>\nFinal Answer: 1083"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "260 is what percentage of 441?"
},
{
"role": "assistant",
"content": "<reasoning>\n(260/441) × 100 = 58.9569%.\n</reasoning>\nFinal Answer: 58.9569%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 47 = 383"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 8x = 336. Divide by 8: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -8 = 262"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 27x = 270. Divide by 27: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
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