messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 13/4 * 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/4) × (9/16) = (117/64) = 117/64 after simplification.\n</reasoning>\nFinal Answer: 117/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31245 at 4% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31245 × 4 × 1 / 100 = 1249.8.\n</reasoning>\nFinal Answer: 1249.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 11] and B = [3, 10, 12], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 6, 7, 10, 11, 12].\n</reasoning>\nFinal Answer: [3, 6, 7, 10, 11, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 890 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 890 × (1 + 40/100) = 890 × 1.4 = 1246.0.\n</reasoning>\nFinal Answer: 1246.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 * 20/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/19) × (20/4) = (180/76) = 45/19 after simplification.\n</reasoning>\nFinal Answer: 45/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 11, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (44-1)×11 = 50 + 473 = 523.\n</reasoning>\nFinal Answer: 523"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 748 mod -462"
},
{
"role": "assistant",
"content": "<reasoning>\n748 mod -462: 748 = -462 × -2 + -176, so remainder = -176.\n</reasoning>\nFinal Answer: -176"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 83 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 44 = 3652.\n</reasoning>\nFinal Answer: 3652"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:36 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/36, so B = A × (36/47) = 85 × 36/47 = 65.1064.\n</reasoning>\nFinal Answer: 65.1064"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 3 + -183"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 3 and -183: 3 + -183 = -180.\n</reasoning>\nFinal Answer: -180"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 948 ÷ -150"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 948 by -150. 948 ÷ -150 = -7 (integer division).\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 372 - -335"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -335 from 372: 372 - -335 = 707.\n</reasoning>\nFinal Answer: 707"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -37 = -460"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 9x = -423. Divide by 9: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/9 - 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/9 - 16/8. LCD = 9. Result = -11/9.\n</reasoning>\nFinal Answer: -11/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 701 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 701 × (1 - 17/100) = 701 × 0.83 = 581.83.\n</reasoning>\nFinal Answer: 581.83"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -13 + -931"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -13 and -931: -13 + -931 = -944.\n</reasoning>\nFinal Answer: -944"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "436 is what percentage of 951?"
},
{
"role": "assistant",
"content": "<reasoning>\n(436/951) × 100 = 45.8465%.\n</reasoning>\nFinal Answer: 45.8465%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 36 * 48 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×48=1728, then 7+1728-3=1732.\n</reasoning>\nFinal Answer: 1732"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 20 = 572"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 12x = 552. Divide by 12: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 26 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 26 = 208 worker-days. New time = 208 / 15 = 13.8667 days.\n</reasoning>\nFinal Answer: 13.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "18 is what percentage of 381?"
},
{
"role": "assistant",
"content": "<reasoning>\n(18/381) × 100 = 4.7244%.\n</reasoning>\nFinal Answer: 4.7244%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 996 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 996 × (1 + 7/100) = 996 × 1.07 = 1065.72.\n</reasoning>\nFinal Answer: 1065.72"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 44 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+44) × 9 = 364.5.\n</reasoning>\nFinal Answer: 364.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 46 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 46 × 68 = 1564.0.\n</reasoning>\nFinal Answer: 1564.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:30 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/30, so B = A × (30/41) = 46 × 30/41 = 33.6585.\n</reasoning>\nFinal Answer: 33.6585"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 971 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 971 × (1 + 45/100) = 971 × 1.45 = 1407.95.\n</reasoning>\nFinal Answer: 1407.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 728 mod -164"
},
{
"role": "assistant",
"content": "<reasoning>\n728 mod -164: 728 = -164 × -5 + -92, so remainder = -92.\n</reasoning>\nFinal Answer: -92"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 43) * (30 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+43)=56, (30-36)=-6, then 56×-6=-336.\n</reasoning>\nFinal Answer: -336"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 23 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+23) × 2 = 70.0.\n</reasoning>\nFinal Answer: 70.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 543 km apart. Their speeds are 97 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 97+120=217 km/h. Time = 543/217 = 2.5023 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 122 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(122,20) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 2) * (33 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+2)=48, (33-32)=1, then 48×1=48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4248 at 13% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4248 × 13 × 2 / 100 = 1104.48.\n</reasoning>\nFinal Answer: 1104.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 28 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 28 × 58 = 1624.\n</reasoning>\nFinal Answer: 1624"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 25 = 760"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 15x = 735. Divide by 15: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 7% of 198?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 198 = (7/100) × 198 = 13.86.\n</reasoning>\nFinal Answer: 13.86"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24385 at 10% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24385 × 10 × 6 / 100 = 14631.0.\n</reasoning>\nFinal Answer: 14631.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 156 km/h. How far does it travel in 2 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 26/60 = 2.4333 hours. Distance = speed × time = 156 × 2.4333 = 379.6 km.\n</reasoning>\nFinal Answer: 379.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [30, 8, 29, 37, 85, 30, 6, 33, 68, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 6 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 + 9/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/17 + 9/7. Common denominator = 119. Result = 181/119.\n</reasoning>\nFinal Answer: 181/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 + 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/15 + 14/16. Common denominator = 24. Result = 29/24.\n</reasoning>\nFinal Answer: 29/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/12 + 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/12 + 15/18. Common denominator = 6. Result = 4/3.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -209 mod 203"
},
{
"role": "assistant",
"content": "<reasoning>\n-209 mod 203: -209 = 203 × -2 + 197, so remainder = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 10, 11, 12, 16] and B = [12, 13, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 10, 11, 16].\n</reasoning>\nFinal Answer: [4, 6, 10, 11, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 32 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 31+1024-2=1053.\n</reasoning>\nFinal Answer: 1053"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [47, 49, 25, 32, 38, 97, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 315/7 = 45.0.\n</reasoning>\nFinal Answer: 45.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 16/13 + 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/13 + 12/12. Common denominator = 13. Result = 29/13.\n</reasoning>\nFinal Answer: 29/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 23 * 21 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×21=483, then 10+483-33=460.\n</reasoning>\nFinal Answer: 460"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 957 × -390"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 957 by -390: 957 × -390 = -373230.\n</reasoning>\nFinal Answer: -373230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [8, 15, 17, 18] and B = [1, 10, 11, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 8, 10, 11, 15, 17, 18].\n</reasoning>\nFinal Answer: [1, 8, 10, 11, 15, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 38 * 8 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×8=304, then 38+304-41=301.\n</reasoning>\nFinal Answer: 301"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:37 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/37, so B = A × (37/19) = 78 × 37/19 = 151.8947.\n</reasoning>\nFinal Answer: 151.8947"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27501 at 15% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27501 × 15 × 8 / 100 = 33001.2.\n</reasoning>\nFinal Answer: 33001.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [2, 6, 18, 54, 162]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 2 and ratio 3. Next term = 162 × 3 = 486.\n</reasoning>\nFinal Answer: 486"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [52, 38, 36, 62, 75, 74, 43, 95, 73, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 565/10 = 56.5.\n</reasoning>\nFinal Answer: 56.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:26 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/26, so B = A × (26/3) = 69 × 26/3 = 598.0.\n</reasoning>\nFinal Answer: 598.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 396 ÷ -314"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 396 by -314. 396 ÷ -314 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:33 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/33, so B = A × (33/1) = 78 × 33/1 = 2574.0.\n</reasoning>\nFinal Answer: 2574.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 820 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 820 × (1 - 50/100) = 820 × 0.5 = 410.0.\n</reasoning>\nFinal Answer: 410.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -177 mod 356"
},
{
"role": "assistant",
"content": "<reasoning>\n-177 mod 356: -177 = 356 × -1 + 179, so remainder = 179.\n</reasoning>\nFinal Answer: 179"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17828 at 19% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17828 × 19 × 9 / 100 = 30485.88.\n</reasoning>\nFinal Answer: 30485.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -26 = -234"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 26x = -208. Divide by 26: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -707 × -478"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -707 by -478: -707 × -478 = 337946.\n</reasoning>\nFinal Answer: 337946"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 170 + 478"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 170 and 478: 170 + 478 = 648.\n</reasoning>\nFinal Answer: 648"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:49 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/49, so B = A × (49/48) = 97 × 49/48 = 99.0208.\n</reasoning>\nFinal Answer: 99.0208"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 18 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 18 × 70 = 1260.\n</reasoning>\nFinal Answer: 1260"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -195 mod 748"
},
{
"role": "assistant",
"content": "<reasoning>\n-195 mod 748: -195 = 748 × -1 + 553, so remainder = 553.\n</reasoning>\nFinal Answer: 553"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 0 = 897"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 23x = 897. Divide by 23: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/8 + 9/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/8 + 9/10. Common denominator = 40. Result = 121/40.\n</reasoning>\nFinal Answer: 121/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -40 = -316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 6x = -276. Divide by 6: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -648 mod -828"
},
{
"role": "assistant",
"content": "<reasoning>\n-648 mod -828: -648 = -828 × 0 + -648, so remainder = -648.\n</reasoning>\nFinal Answer: -648"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 14, 15, 17, 18] and B = [2, 3, 5, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 15].\n</reasoning>\nFinal Answer: [3, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [83, 56, 62, 67, 96, 87, 75, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 56, 62, 67, 75, 83, 87, 96]. Middle value(s) → median = 71.0.\n</reasoning>\nFinal Answer: 71.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 34 + 14 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×34=1054 and 14×1=14, then add: 1068.\n</reasoning>\nFinal Answer: 1068"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 13 * 37 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×37=481, then 21+481-17=485.\n</reasoning>\nFinal Answer: 485"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [46, 13, 72, 72, 31, 24, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 24, 31, 46, 57, 72, 72]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 98 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(98+100) = 2×198 = 396.\n</reasoning>\nFinal Answer: 396"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 - 18/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/12 - 18/14. LCD = 84. Result = -59/84.\n</reasoning>\nFinal Answer: -59/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/1 / 11/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/1) ÷ (11/4) = (18/1) × (4/11) = 72/11.\n</reasoning>\nFinal Answer: 72/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 92, 60, 62, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 60, 62, 92, 94]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (4)x + (-168) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×4×-168 = 2704. √discriminant = 52. x = (-(4) ± 52) / (2×4). Solutions: x = -7 or x = 6.\n</reasoning>\nFinal Answer: x = -7 or x = 6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 8, 17] and B = [2, 5, 7, 11, 16, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 5, 7, 8, 11, 16, 17, 19].\n</reasoning>\nFinal Answer: [2, 3, 5, 7, 8, 11, 16, 17, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:3 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/3, so B = A × (3/18) = 86 × 3/18 = 14.3333.\n</reasoning>\nFinal Answer: 14.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 22 = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 2x = -22. Divide by 2: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [50, 4, 32, 37, 16, 3, 85, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 3 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 512 km apart. Their speeds are 117 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 117+95=212 km/h. Time = 512/212 = 2.4151 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -157 + 13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -157 and 13: -157 + 13 = -144.\n</reasoning>\nFinal Answer: -144"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22408 at 1% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22408 × 1 × 4 / 100 = 896.32.\n</reasoning>\nFinal Answer: 896.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 47 * 15 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×15=705, then 13+705-7=711.\n</reasoning>\nFinal Answer: 711"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 7 = -776"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 27x = -783. Divide by 27: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39321 at 9% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39321 × 9 × 3 / 100 = 10616.67.\n</reasoning>\nFinal Answer: 10616.67"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 442."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 442 by smallest primes repeatedly: 442 = 2 × 13 × 17.\n</reasoning>\nFinal Answer: 2 × 13 × 17"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 6 * 19 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×19=114, then 7+114-3=118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 855 ÷ 336"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 855 by 336. 855 ÷ 336 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 710 km apart. Their speeds are 75 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 75+83=158 km/h. Time = 710/158 = 4.4937 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 173 km/h. How far does it travel in 9 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 13/60 = 9.2167 hours. Distance = speed × time = 173 × 9.2167 = 1594.4833 km.\n</reasoning>\nFinal Answer: 1594.4833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 87 km/h. How far does it travel in 12 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 7/60 = 12.1167 hours. Distance = speed × time = 87 × 12.1167 = 1054.15 km.\n</reasoning>\nFinal Answer: 1054.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 261."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 261 by smallest primes repeatedly: 261 = 3 × 3 × 29.\n</reasoning>\nFinal Answer: 3 × 3 × 29"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 61 and 122."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(61,122) = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -1 = -50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 7x = -49. Divide by 7: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
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