messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Two trains start towards each other from stations 779 km apart. Their speeds are 66 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 66+51=117 km/h. Time = 779/117 = 6.6581 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 8, 10, 15, 16, 17, 18] and B = [5, 6, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 8, 10, 15, 18].\n</reasoning>\nFinal Answer: [2, 3, 8, 10, 15, 18]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 12 + 10 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×12=348 and 10×34=340, then add: 688.\n</reasoning>\nFinal Answer: 688"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 24 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+24) × 39 = 1092.0.\n</reasoning>\nFinal Answer: 1092.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "List all positive factors of 86."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 86: factors are [1, 2, 43, 86].\n</reasoning>\nFinal Answer: [1, 2, 43, 86]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 6, 13, 14, 15, 18] and B = [2, 3, 10, 11, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 6, 14, 15].\n</reasoning>\nFinal Answer: [1, 6, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 7 = -38"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 3x = -45. Divide by 3: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 15 = -1029"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 29x = -1044. Divide by 29: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:35 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/35, so B = A × (35/33) = 67 × 35/33 = 71.0606.\n</reasoning>\nFinal Answer: 71.0606"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 244 + -283"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 244 and -283: 244 + -283 = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 13, 40, 39, 84, 65, 11, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 13: 1, 40: 1, 39: 1, 84: 1, 65: 1, 11: 1, 99: 1}. Most frequent: [6, 13, 40, 39, 84, 65, 11, 99].\n</reasoning>\nFinal Answer: [6, 13, 40,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 21 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 21 = 294 worker-days. New time = 294 / 8 = 36.75 days.\n</reasoning>\nFinal Answer: 36.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 20 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+20) × 36 = 432.0.\n</reasoning>\nFinal Answer: 432.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 42 * 26 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×26=1092, then 43+1092-42=1093.\n</reasoning>\nFinal Answer: 1093"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [99, 97, 75, 81, 66, 60, 73, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 634/8 = 79.25.\n</reasoning>\nFinal Answer: 79.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 25 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 25 × (1 + 10/100) = 25 × 1.1 = 27.5.\n</reasoning>\nFinal Answer: 27.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 6 apples and buys 176 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 6 + 176 = 182.\n</reasoning>\nFinal Answer: 182"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 95, 74, 75, 86, 70, 100, 14, 75, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 14 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 148 × 869"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 148 by 869: 148 × 869 = 128612.\n</reasoning>\nFinal Answer: 128612"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 22 + 24 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×22=638 and 24×10=240, then add: 878.\n</reasoning>\nFinal Answer: 878"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-54)x + (243) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -54² - 4×3×243 = 0. √discriminant = 0. x = (-(-54) ± 0) / (2×3). Solutions: x = 9 (double root).\n</reasoning>\nFinal Answer: x = 9 (double ro... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -222 - 926"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 926 from -222: -222 - 926 = -1148.\n</reasoning>\nFinal Answer: -1148"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 83 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 64 = 5312.\n</reasoning>\nFinal Answer: 5312"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:49 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/49, so B = A × (49/44) = 52 × 49/44 = 57.9091.\n</reasoning>\nFinal Answer: 57.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 97 km/h. How far does it travel in 6 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 5/60 = 6.0833 hours. Distance = speed × time = 97 × 6.0833 = 590.0833 km.\n</reasoning>\nFinal Answer: 590.0833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 * 20/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/13) × (20/10) = (400/130) = 40/13 after simplification.\n</reasoning>\nFinal Answer: 40/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4189. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4189 × 5/100 = 209.45. Total = 4189 + 209.45 = 4398.45.\n</reasoning>\nFinal Answer: 4398.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 7 = -653"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 30x = -660. Divide by 30: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 126 apples and buys 191 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 126 + 191 = 317.\n</reasoning>\nFinal Answer: 317"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/2 - 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/2 - 1/14. LCD = 14. Result = 41/14.\n</reasoning>\nFinal Answer: 41/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-4)x + (-6) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -4² - 4×2×-6 = 64. √discriminant = 8. x = (-(-4) ± 8) / (2×2). Solutions: x = -1 or x = 3.\n</reasoning>\nFinal Answer: x = -1 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 122 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(122,2) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 14/18 - 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/18 - 19/10. LCD = 90. Result = -101/90.\n</reasoning>\nFinal Answer: -101/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 96 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 96 × 45 = 4320.\n</reasoning>\nFinal Answer: 4320"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/12 + 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/12 + 13/7. Common denominator = 84. Result = 247/84.\n</reasoning>\nFinal Answer: 247/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -21 = 420"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 21x = 441. Divide by 21: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -44 = -1360"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 28x = -1316. Divide by 28: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 411 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 411 × (1 + 70/100) = 411 × 1.7 = 698.7.\n</reasoning>\nFinal Answer: 698.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 504 × -324"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 504 by -324: 504 × -324 = -163296.\n</reasoning>\nFinal Answer: -163296"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:49 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/49, so B = A × (49/5) = 47 × 49/5 = 460.6.\n</reasoning>\nFinal Answer: 460.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 - 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/4 - 1/14. LCD = 14. Result = 27/14.\n</reasoning>\nFinal Answer: 27/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 62 × 704"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 62 by 704: 62 × 704 = 43648.\n</reasoning>\nFinal Answer: 43648"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 84 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 84 × 67 = 5628.\n</reasoning>\nFinal Answer: 5628"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 * 20/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/5) × (20/1) = (180/5) = 36 after simplification.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 159."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 159 by smallest primes repeatedly: 159 = 3 × 53.\n</reasoning>\nFinal Answer: 3 × 53"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "What is 80% of 978?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 978 = (80/100) × 978 = 782.4.\n</reasoning>\nFinal Answer: 782.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 592 + -279"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 592 and -279: 592 + -279 = 313.\n</reasoning>\nFinal Answer: 313"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -40 = 216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 8x = 256. Divide by 8: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 8, 9, 11, 12] and B = [1, 3, 5, 7, 9, 15, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 9].\n</reasoning>\nFinal Answer: [1, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 16 * 45 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×45=720, then 27+720-9=738.\n</reasoning>\nFinal Answer: 738"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 36, 44, 50, 30, 81, 4, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 30, 36, 44, 50, 65, 81, 94]. Middle value(s) → median = 47.0.\n</reasoning>\nFinal Answer: 47.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 236 × 446"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 236 by 446: 236 × 446 = 105256.\n</reasoning>\nFinal Answer: 105256"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -854 + 132"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -854 and 132: -854 + 132 = -722.\n</reasoning>\nFinal Answer: -722"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 2 = -504"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 23x = -506. Divide by 23: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A bag has 8 red and 6 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 8/14 = 0.5714.\n</reasoning>\nFinal Answer: 0.5714"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 7 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 7 × 39 = 273.\n</reasoning>\nFinal Answer: 273"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 + 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/11 + 20/6. Common denominator = 33. Result = 140/33.\n</reasoning>\nFinal Answer: 140/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -468 - -219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -219 from -468: -468 - -219 = -249.\n</reasoning>\nFinal Answer: -249"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 536 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 536 × (1 - 25/100) = 536 × 0.75 = 402.0.\n</reasoning>\nFinal Answer: 402.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 379 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 379 × (1 + 45/100) = 379 × 1.45 = 549.55.\n</reasoning>\nFinal Answer: 549.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 13, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (47-1)×13 = 4 + 598 = 602.\n</reasoning>\nFinal Answer: 602"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹705. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 705 × 12/100 = 84.6. Total = 705 + 84.6 = 789.6.\n</reasoning>\nFinal Answer: 789.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:21 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/21, so B = A × (21/8) = 95 × 21/8 = 249.375.\n</reasoning>\nFinal Answer: 249.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 578 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 578 × (1 - 12/100) = 578 × 0.88 = 508.64.\n</reasoning>\nFinal Answer: 508.64"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 54, 56, 42, 60, 64, 55, 5, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 5 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -34 = -120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 2x = -86. Divide by 2: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 41) * (48 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+41)=79, (48-31)=17, then 79×17=1343.\n</reasoning>\nFinal Answer: 1343"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×47)/1 = 1692.\n</reasoning>\nFinal Answer: 1692"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 920 ÷ -485"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 920 by -485. 920 ÷ -485 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 9 + 44 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×9=27 and 44×33=1452, then add: 1479.\n</reasoning>\nFinal Answer: 1479"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/3 + 1/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/3 + 1/2. Common denominator = 2. Result = 3/2.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-22)x + (48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -22² - 4×2×48 = 100. √discriminant = 10. x = (-(-22) ± 10) / (2×2). Solutions: x = 3 or x = 8.\n</reasoning>\nFinal Answer: x = 3 or x = 8"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 16/16 - 11/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/16 - 11/14. LCD = 14. Result = 3/14.\n</reasoning>\nFinal Answer: 3/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/8 * 14/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/8) × (14/6) = (14/48) = 7/24 after simplification.\n</reasoning>\nFinal Answer: 7/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 97 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 97 × 85 = 8245.\n</reasoning>\nFinal Answer: 8245"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 312 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 312 × (1 + 65/100) = 312 × 1.65 = 514.8.\n</reasoning>\nFinal Answer: 514.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-20)x + (-96) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -20² - 4×4×-96 = 1936. √discriminant = 44. x = (-(-20) ± 44) / (2×4). Solutions: x = 8 or x = -3.\n</reasoning>\nFinal Answer: x = 8 or x = -3... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:47 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/47, so B = A × (47/36) = 64 × 47/36 = 83.5556.\n</reasoning>\nFinal Answer: 83.5556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 485 mod -549"
},
{
"role": "assistant",
"content": "<reasoning>\n485 mod -549: 485 = -549 × -1 + -64, so remainder = -64.\n</reasoning>\nFinal Answer: -64"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 566 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 566 × (1 + 80/100) = 566 × 1.8 = 1018.8.\n</reasoning>\nFinal Answer: 1018.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 604 ÷ 835"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 604 by 835. 604 ÷ 835 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 1 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 36/60 = 1.6000 hours. Distance = speed × time = 69 × 1.6000 = 110.4 km.\n</reasoning>\nFinal Answer: 110.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "65 is what percentage of 142?"
},
{
"role": "assistant",
"content": "<reasoning>\n(65/142) × 100 = 45.7746%.\n</reasoning>\nFinal Answer: 45.7746%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 676 km apart. Their speeds are 47 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 47+120=167 km/h. Time = 676/167 = 4.0479 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -698 - 590"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 590 from -698: -698 - 590 = -1288.\n</reasoning>\nFinal Answer: -1288"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 19 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+19) × 19 = 351.5.\n</reasoning>\nFinal Answer: 351.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "638 is what percentage of 839?"
},
{
"role": "assistant",
"content": "<reasoning>\n(638/839) × 100 = 76.0429%.\n</reasoning>\nFinal Answer: 76.0429%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×36)/9 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 249 - -104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -104 from 249: 249 - -104 = 353.\n</reasoning>\nFinal Answer: 353"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 1, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (38-1)×1 = 4 + 37 = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 46 = -656"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 26x = -702. Divide by 26: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×43)/1 = 2064.\n</reasoning>\nFinal Answer: 2064"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 281 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 281 × (1 - 100/100) = 281 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 8, 11, 13, 15, 17, 18] and B = [5, 7, 8, 11, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 5, 7, 15, 17, 18].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 14) * (9 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+14)=18, (9-33)=-24, then 18×-24=-432.\n</reasoning>\nFinal Answer: -432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 22 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+22) × 2 = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 11/2 - 20/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/2 - 20/10. LCD = 2. Result = 7/2.\n</reasoning>\nFinal Answer: 7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 149 km/h. How far does it travel in 12 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 28/60 = 12.4667 hours. Distance = speed × time = 149 × 12.4667 = 1857.5333 km.\n</reasoning>\nFinal Answer: 1857.5333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/2 * 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/2) × (13/14) = (26/28) = 13/14 after simplification.\n</reasoning>\nFinal Answer: 13/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 24 = 324"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 30x = 300. Divide by 30: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
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