messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 17 * 13 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×13=221, then 7+221-14=214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 * 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/12) × (18/7) = (36/84) = 3/7 after simplification.\n</reasoning>\nFinal Answer: 3/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 43 + 43 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×43=817 and 43×31=1333, then add: 2150.\n</reasoning>\nFinal Answer: 2150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [28, 86, 100, 59, 95, 73, 100, 23, 17, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 17 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 1/3 * 6/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/3) × (6/1) = (6/3) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [68, 17, 63, 51, 90, 45, 89, 82, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 553/9 = 61.4444.\n</reasoning>\nFinal Answer: 61.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -35 = -20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 3x = 15. Divide by 3: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [83, 12, 21, 94, 11, 18, 38, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 284/8 = 35.5.\n</reasoning>\nFinal Answer: 35.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹3028. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3028 × 12/100 = 363.36. Total = 3028 + 363.36 = 3391.36.\n</reasoning>\nFinal Answer: 3391.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 8 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 3+64-46=21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [22, 85, 5, 22, 2, 45, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 2 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 181 × -525"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 181 by -525: 181 × -525 = -95025.\n</reasoning>\nFinal Answer: -95025"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 171 mod -226"
},
{
"role": "assistant",
"content": "<reasoning>\n171 mod -226: 171 = -226 × -1 + -55, so remainder = -55.\n</reasoning>\nFinal Answer: -55"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 508 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 508 × (1 + 12/100) = 508 × 1.12 = 568.96.\n</reasoning>\nFinal Answer: 568.96"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 4, 17, 37, 97, 98, 60, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 4: 1, 17: 1, 37: 1, 97: 1, 98: 1, 60: 1, 39: 1}. Most frequent: [86, 4, 17, 37, 97, 98, 60, 39].\n</reasoning>\nFinal Answer: [86, 4, 17,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [46, 58, 70, 82, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 46 and common difference 12. Next term = 94 + 12 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 4/4 * 2/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/4) × (2/11) = (8/44) = 2/11 after simplification.\n</reasoning>\nFinal Answer: 2/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 55 and 164."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(55,164) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹3521. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3521 × 18/100 = 633.78. Total = 3521 + 633.78 = 4154.78.\n</reasoning>\nFinal Answer: 4154.78"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 912 km apart. Their speeds are 115 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+63=178 km/h. Time = 912/178 = 5.1236 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -44 = 68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 7x = 112. Divide by 7: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -804 - 890"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 890 from -804: -804 - 890 = -1694.\n</reasoning>\nFinal Answer: -1694"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -458 + 756"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -458 and 756: -458 + 756 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 10 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 43+100-17=126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 8 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 8 × 73 = 584.\n</reasoning>\nFinal Answer: 584"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/11 * 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/11) × (20/14) = (400/154) = 200/77 after simplification.\n</reasoning>\nFinal Answer: 200/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 64 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(64+98) = 2×162 = 324.\n</reasoning>\nFinal Answer: 324"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 29 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 29 × 57 = 826.5.\n</reasoning>\nFinal Answer: 826.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "84 is what percentage of 220?"
},
{
"role": "assistant",
"content": "<reasoning>\n(84/220) × 100 = 38.1818%.\n</reasoning>\nFinal Answer: 38.1818%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 57 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 57 × 28 = 798.0.\n</reasoning>\nFinal Answer: 798.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 329 km apart. Their speeds are 43 km/h and 55 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 43+55=98 km/h. Time = 329/98 = 3.3571 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 871 - -402"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -402 from 871: 871 - -402 = 1273.\n</reasoning>\nFinal Answer: 1273"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 60 and 74."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(60,74) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -47 = -599"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 23x = -552. Divide by 23: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 712 km apart. Their speeds are 94 km/h and 73 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+73=167 km/h. Time = 712/167 = 4.2635 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 65 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from 65: 65 - 6 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 13, 18] and B = [7, 8, 9, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 22 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 1+484-3=482.\n</reasoning>\nFinal Answer: 482"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 25 + -113"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 25 and -113: 25 + -113 = -88.\n</reasoning>\nFinal Answer: -88"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 8 = 20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 1x = 12. Divide by 1: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/5 - 4/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/5 - 4/9. LCD = 45. Result = 133/45.\n</reasoning>\nFinal Answer: 133/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3491. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3491 × 28/100 = 977.48. Total = 3491 + 977.48 = 4468.48.\n</reasoning>\nFinal Answer: 4468.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -537 ÷ -204"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -537 by -204. -537 ÷ -204 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 52 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 52 × 35 = 1820.\n</reasoning>\nFinal Answer: 1820"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 + 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/6 + 20/18. Common denominator = 18. Result = 35/18.\n</reasoning>\nFinal Answer: 35/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 44 = 92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 8x = 48. Divide by 8: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 518 - 440"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 440 from 518: 518 - 440 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 146 km/h. How far does it travel in 2 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 52/60 = 2.8667 hours. Distance = speed × time = 146 × 2.8667 = 418.5333 km.\n</reasoning>\nFinal Answer: 418.5333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 67, 64, 53, 42, 76, 84, 82, 33, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 33, 42, 45, 53, 64, 67, 76, 82, 84]. Middle value(s) → median = 58.5.\n</reasoning>\nFinal Answer: 58.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 172 km/h. How far does it travel in 4 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 37/60 = 4.6167 hours. Distance = speed × time = 172 × 4.6167 = 794.0667 km.\n</reasoning>\nFinal Answer: 794.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 271 mod -678"
},
{
"role": "assistant",
"content": "<reasoning>\n271 mod -678: 271 = -678 × -1 + -407, so remainder = -407.\n</reasoning>\nFinal Answer: -407"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -534 ÷ -776"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -534 by -776. -534 ÷ -776 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -27 = 866"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 19x = 893. Divide by 19: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 17 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (17×47)/1 = 799.\n</reasoning>\nFinal Answer: 799"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 65% of 598?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 598 = (65/100) × 598 = 388.7.\n</reasoning>\nFinal Answer: 388.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 32 = 4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 14x = -28. Divide by 14: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 - 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/11 - 13/15. LCD = 165. Result = 52/165.\n</reasoning>\nFinal Answer: 52/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "551 is what percentage of 761?"
},
{
"role": "assistant",
"content": "<reasoning>\n(551/761) × 100 = 72.4047%.\n</reasoning>\nFinal Answer: 72.4047%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 86 and 108."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(86,108) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 35 = -415"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 18x = -450. Divide by 18: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 235 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 235 × (1 + 50/100) = 235 × 1.5 = 352.5.\n</reasoning>\nFinal Answer: 352.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 5, 8, 9, 15, 17] and B = [3, 5, 6, 7, 11, 13, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 6, 7, 8, 9, 11, 13, 15, 17, 18].\n<... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 937 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 937 × (1 + 80/100) = 937 × 1.8 = 1686.6.\n</reasoning>\nFinal Answer: 1686.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 48 * 19 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×19=912, then 13+912-1=924.\n</reasoning>\nFinal Answer: 924"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 26 = -319"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 15x = -345. Divide by 15: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 + 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/11 + 17/20. Common denominator = 220. Result = 447/220.\n</reasoning>\nFinal Answer: 447/220"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -764 + 105"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -764 and 105: -764 + 105 = -659.\n</reasoning>\nFinal Answer: -659"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 38 = 1004"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 21x = 966. Divide by 21: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18621 at 3% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18621 × 3 × 8 / 100 = 4469.04.\n</reasoning>\nFinal Answer: 4469.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 772 × 510"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 772 by 510: 772 × 510 = 393720.\n</reasoning>\nFinal Answer: 393720"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 33) * (30 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+33)=62, (30-42)=-12, then 62×-12=-744.\n</reasoning>\nFinal Answer: -744"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:18 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/18, so B = A × (18/7) = 77 × 18/7 = 198.0.\n</reasoning>\nFinal Answer: 198.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 32 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+32) × 49 = 857.5.\n</reasoning>\nFinal Answer: 857.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 59 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 59 × 91 = 5369.\n</reasoning>\nFinal Answer: 5369"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 24 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 24 = 408 worker-days. New time = 408 / 7 = 58.2857 days.\n</reasoning>\nFinal Answer: 58.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 7, 11, 12, 14, 19] and B = [3, 4, 12], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 4, 6, 7, 11, 14, 19].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 116 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(116,32) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 714 - -389"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -389 from 714: 714 - -389 = 1103.\n</reasoning>\nFinal Answer: 1103"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 171 km/h. How far does it travel in 4 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 27/60 = 4.4500 hours. Distance = speed × time = 171 × 4.4500 = 760.95 km.\n</reasoning>\nFinal Answer: 760.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 / 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/7) ÷ (17/4) = (20/7) × (4/17) = 80/119.\n</reasoning>\nFinal Answer: 80/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 22 = 302"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 20x = 280. Divide by 20: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (32)x + (-36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 32² - 4×4×-36 = 1600. √discriminant = 40. x = (-(32) ± 40) / (2×4). Solutions: x = 1 or x = -9.\n</reasoning>\nFinal Answer: x = 1 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:50 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/50, so B = A × (50/46) = 12 × 50/46 = 13.0435.\n</reasoning>\nFinal Answer: 13.0435"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -396 - -725"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -725 from -396: -396 - -725 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "90 is what percentage of 673?"
},
{
"role": "assistant",
"content": "<reasoning>\n(90/673) × 100 = 13.373%.\n</reasoning>\nFinal Answer: 13.373%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -50 = -1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 1x = 49. Divide by 1: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 207 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 207 × (1 + 40/100) = 207 × 1.4 = 289.8.\n</reasoning>\nFinal Answer: 289.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 / 10/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/12) ÷ (10/8) = (12/12) × (8/10) = 4/5.\n</reasoning>\nFinal Answer: 4/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:32 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/32, so B = A × (32/39) = 88 × 32/39 = 72.2051.\n</reasoning>\nFinal Answer: 72.2051"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/17 + 20/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/17 + 20/4. Common denominator = 17. Result = 93/17.\n</reasoning>\nFinal Answer: 93/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 90 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 90 × 18 = 810.0.\n</reasoning>\nFinal Answer: 810.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [82, 19, 92, 67, 2, 59, 80, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {82: 1, 19: 1, 92: 1, 67: 1, 2: 1, 59: 1, 80: 1, 93: 1}. Most frequent: [82, 19, 92, 67, 2, 59, 80, 93].\n</reasoning>\nFinal Answer: [82, 19, 92... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 968 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 968 × (1 - 50/100) = 968 × 0.5 = 484.0.\n</reasoning>\nFinal Answer: 484.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/3 / 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/3) ÷ (3/15) = (4/3) × (15/3) = 20/3.\n</reasoning>\nFinal Answer: 20/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 560 km apart. Their speeds are 68 km/h and 40 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 68+40=108 km/h. Time = 560/108 = 5.1852 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/4 + 19/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/4 + 19/4. Common denominator = 4. Result = 33/4.\n</reasoning>\nFinal Answer: 33/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:31 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/31, so B = A × (31/8) = 69 × 31/8 = 267.375.\n</reasoning>\nFinal Answer: 267.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -134 × -240"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -134 by -240: -134 × -240 = 32160.\n</reasoning>\nFinal Answer: 32160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 59, 86, 94, 92, 3, 38, 20, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 546/9 = 60.6667.\n</reasoning>\nFinal Answer: 60.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 48, 2, 20, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 48: 1, 2: 1, 20: 1, 30: 1}. Most frequent: [49, 48, 2, 20, 30].\n</reasoning>\nFinal Answer: [49, 48, 2, 20, 30]"
}
] | easy | [
"statistics",
"mode"
] |
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