messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -709 - -131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -131 from -709: -709 - -131 = -578.\n</reasoning>\nFinal Answer: -578"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 387 mod -413"
},
{
"role": "assistant",
"content": "<reasoning>\n387 mod -413: 387 = -413 × -1 + -26, so remainder = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:10 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/10, so B = A × (10/31) = 53 × 10/31 = 17.0968.\n</reasoning>\nFinal Answer: 17.0968"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 152 km/h. How far does it travel in 2 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 10/60 = 2.1667 hours. Distance = speed × time = 152 × 2.1667 = 329.3333 km.\n</reasoning>\nFinal Answer: 329.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 116 × -72"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 116 by -72: 116 × -72 = -8352.\n</reasoning>\nFinal Answer: -8352"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:24 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/24, so B = A × (24/1) = 9 × 24/1 = 216.0.\n</reasoning>\nFinal Answer: 216.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 20 * 13 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×13=260, then 28+260-45=243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 41 = -589"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 30x = -630. Divide by 30: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 60 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 60 × 77 = 4620.\n</reasoning>\nFinal Answer: 4620"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 9, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (10-1)×9 = 49 + 81 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33034 at 16% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33034 × 16 × 4 / 100 = 21141.76.\n</reasoning>\nFinal Answer: 21141.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:26 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/26, so B = A × (26/44) = 15 × 26/44 = 8.8636.\n</reasoning>\nFinal Answer: 8.8636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 + 19/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/12 + 19/15. Common denominator = 60. Result = 131/60.\n</reasoning>\nFinal Answer: 131/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 731 ÷ -42"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 731 by -42. 731 ÷ -42 = -18 (integer division).\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 326 + -518"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 326 and -518: 326 + -518 = -192.\n</reasoning>\nFinal Answer: -192"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 31 * 34 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×34=1054, then 19+1054-11=1062.\n</reasoning>\nFinal Answer: 1062"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 432 - -851"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -851 from 432: 432 - -851 = 1283.\n</reasoning>\nFinal Answer: 1283"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 63 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 63 × 78 = 4914.\n</reasoning>\nFinal Answer: 4914"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -254 × -187"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -254 by -187: -254 × -187 = 47498.\n</reasoning>\nFinal Answer: 47498"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 73 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 73 × 8 = 292.0.\n</reasoning>\nFinal Answer: 292.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 2, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (49-1)×2 = 37 + 96 = 133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -607 - 261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 261 from -607: -607 - 261 = -868.\n</reasoning>\nFinal Answer: -868"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:17 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/17, so B = A × (17/1) = 45 × 17/1 = 765.0.\n</reasoning>\nFinal Answer: 765.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×32)/1 = 224.\n</reasoning>\nFinal Answer: 224"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 12 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 12 = 132 worker-days. New time = 132 / 8 = 16.5 days.\n</reasoning>\nFinal Answer: 16.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [34, 45, 60, 82, 48, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 293/6 = 48.8333.\n</reasoning>\nFinal Answer: 48.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -620 + 312"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -620 and 312: -620 + 312 = -308.\n</reasoning>\nFinal Answer: -308"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 54 - 879"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 879 from 54: 54 - 879 = -825.\n</reasoning>\nFinal Answer: -825"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -722 ÷ -507"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -722 by -507. -722 ÷ -507 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 - 9/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/7 - 9/3. LCD = 7. Result = -1/7.\n</reasoning>\nFinal Answer: -1/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 20 = -309"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 7x = -329. Divide by 7: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 34 mod 644"
},
{
"role": "assistant",
"content": "<reasoning>\n34 mod 644: 34 = 644 × 0 + 34, so remainder = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹687. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 687 × 28/100 = 192.36. Total = 687 + 192.36 = 879.36.\n</reasoning>\nFinal Answer: 879.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 32) * (11 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+32)=48, (11-49)=-38, then 48×-38=-1824.\n</reasoning>\nFinal Answer: -1824"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:46 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/46, so B = A × (46/20) = 55 × 46/20 = 126.5.\n</reasoning>\nFinal Answer: 126.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [94, 13, 65, 92, 98, 44, 12, 41, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 558/9 = 62.0.\n</reasoning>\nFinal Answer: 62.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 15% of 290?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 290 = (15/100) × 290 = 43.5.\n</reasoning>\nFinal Answer: 43.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 721 ÷ -557"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 721 by -557. 721 ÷ -557 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 36 apples and buys 185 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 36 + 185 = 221.\n</reasoning>\nFinal Answer: 221"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 12, 13, 17, 18, 19] and B = [6, 7, 8, 11, 13, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 6, 8, 11, 12, 16, 18, 19].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹466. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 466 × 28/100 = 130.48. Total = 466 + 130.48 = 596.48.\n</reasoning>\nFinal Answer: 596.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -46 = 302"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 29x = 348. Divide by 29: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -796 × -33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -796 by -33: -796 × -33 = 26268.\n</reasoning>\nFinal Answer: 26268"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 14) * (37 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+14)=53, (37-3)=34, then 53×34=1802.\n</reasoning>\nFinal Answer: 1802"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 13, 14] and B = [2, 6, 7, 14, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [14].\n</reasoning>\nFinal Answer: [14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -44 = 43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 29x = 87. Divide by 29: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 9) * (48 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+9)=23, (48-11)=37, then 23×37=851.\n</reasoning>\nFinal Answer: 851"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/1 + 17/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/1 + 17/17. Common denominator = 1. Result = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "295 is what percentage of 325?"
},
{
"role": "assistant",
"content": "<reasoning>\n(295/325) × 100 = 90.7692%.\n</reasoning>\nFinal Answer: 90.7692%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 30, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 30 + 40 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -46 = -191"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 5x = -145. Divide by 5: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -435 + 915"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -435 and 915: -435 + 915 = 480.\n</reasoning>\nFinal Answer: 480"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 / 7/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/6) ÷ (7/4) = (19/6) × (4/7) = 38/21.\n</reasoning>\nFinal Answer: 38/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 72 and 103."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(72,103) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 46 * 14 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×14=644, then 1+644-5=640.\n</reasoning>\nFinal Answer: 640"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "65 is what percentage of 264?"
},
{
"role": "assistant",
"content": "<reasoning>\n(65/264) × 100 = 24.6212%.\n</reasoning>\nFinal Answer: 24.6212%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 + 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/18 + 19/19. Common denominator = 1. Result = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 884 mod 709"
},
{
"role": "assistant",
"content": "<reasoning>\n884 mod 709: 884 = 709 × 1 + 175, so remainder = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 352 × 499"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 352 by 499: 352 × 499 = 175648.\n</reasoning>\nFinal Answer: 175648"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 297 mod -611"
},
{
"role": "assistant",
"content": "<reasoning>\n297 mod -611: 297 = -611 × -1 + -314, so remainder = -314.\n</reasoning>\nFinal Answer: -314"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 141 km/h. How far does it travel in 6 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 6/60 = 6.1000 hours. Distance = speed × time = 141 × 6.1000 = 860.1 km.\n</reasoning>\nFinal Answer: 860.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 50 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 41+2500-31=2510.\n</reasoning>\nFinal Answer: 2510"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4090. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4090 × 12/100 = 490.8. Total = 4090 + 490.8 = 4580.8.\n</reasoning>\nFinal Answer: 4580.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4949. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4949 × 5/100 = 247.45. Total = 4949 + 247.45 = 5196.45.\n</reasoning>\nFinal Answer: 5196.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [33, 48, 63, 78, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 33 and common difference 15. Next term = 93 + 15 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -22 = -166"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 6x = -144. Divide by 6: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 / 8/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/5) ÷ (8/4) = (14/5) × (4/8) = 7/5.\n</reasoning>\nFinal Answer: 7/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 307 × -684"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 307 by -684: 307 × -684 = -209988.\n</reasoning>\nFinal Answer: -209988"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 684 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 684 × (1 + 45/100) = 684 × 1.45 = 991.8.\n</reasoning>\nFinal Answer: 991.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -627 ÷ -18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -627 by -18. -627 ÷ -18 = 34 (integer division).\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/15 + 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/15 + 13/7. Common denominator = 35. Result = 107/35.\n</reasoning>\nFinal Answer: 107/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:50 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/50, so B = A × (50/11) = 37 × 50/11 = 168.1818.\n</reasoning>\nFinal Answer: 168.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 111 km/h. How far does it travel in 4 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 16/60 = 4.2667 hours. Distance = speed × time = 111 × 4.2667 = 473.6 km.\n</reasoning>\nFinal Answer: 473.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 27. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 27² = π × 729 ≈ 2290.221.\n</reasoning>\nFinal Answer: 2290.221"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-26)x + (80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -26² - 4×2×80 = 36. √discriminant = 6. x = (-(-26) ± 6) / (2×2). Solutions: x = 5 or x = 8.\n</reasoning>\nFinal Answer: x = 5 or x = 8"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 48 and width 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 48 × 76 = 3648.\n</reasoning>\nFinal Answer: 3648"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 8, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (30-1)×8 = 39 + 232 = 271.\n</reasoning>\nFinal Answer: 271"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:43 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/43, so B = A × (43/20) = 28 × 43/20 = 60.2.\n</reasoning>\nFinal Answer: 60.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:4 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/4, so B = A × (4/29) = 37 × 4/29 = 5.1034.\n</reasoning>\nFinal Answer: 5.1034"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 11 = -589"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 12x = -600. Divide by 12: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -34 = -184"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 30x = -150. Divide by 30: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15080 at 5% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15080 × 5 × 4 / 100 = 3016.0.\n</reasoning>\nFinal Answer: 3016.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 33 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 24+1089-19=1094.\n</reasoning>\nFinal Answer: 1094"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "277 is what percentage of 444?"
},
{
"role": "assistant",
"content": "<reasoning>\n(277/444) × 100 = 62.3874%.\n</reasoning>\nFinal Answer: 62.3874%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 * 2/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/15) × (2/13) = (28/195) = 28/195 after simplification.\n</reasoning>\nFinal Answer: 28/195"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 34 = -596"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 15x = -630. Divide by 15: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 924 + -278"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 924 and -278: 924 + -278 = 646.\n</reasoning>\nFinal Answer: 646"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:20 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/20, so B = A × (20/18) = 87 × 20/18 = 96.6667.\n</reasoning>\nFinal Answer: 96.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 30 = -278"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 14x = -308. Divide by 14: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 10, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (41-1)×10 = 4 + 400 = 404.\n</reasoning>\nFinal Answer: 404"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 16 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 16 = 288 worker-days. New time = 288 / 9 = 32.0 days.\n</reasoning>\nFinal Answer: 32.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 90% of 832?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 832 = (90/100) × 832 = 748.8.\n</reasoning>\nFinal Answer: 748.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 - 4/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/17 - 4/7. LCD = 119. Result = -61/119.\n</reasoning>\nFinal Answer: -61/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [99, 46, 86, 53, 82, 8, 78, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 502/8 = 62.75.\n</reasoning>\nFinal Answer: 62.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 127 mod -357"
},
{
"role": "assistant",
"content": "<reasoning>\n127 mod -357: 127 = -357 × -1 + -230, so remainder = -230.\n</reasoning>\nFinal Answer: -230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 29 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 37+841-9=869.\n</reasoning>\nFinal Answer: 869"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 27 = -1205"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 28x = -1232. Divide by 28: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -159 ÷ 186"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -159 by 186. -159 ÷ 186 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 2, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (16-1)×2 = 46 + 30 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 807 mod 606"
},
{
"role": "assistant",
"content": "<reasoning>\n807 mod 606: 807 = 606 × 1 + 201, so remainder = 201.\n</reasoning>\nFinal Answer: 201"
}
] | medium | [
"arithmetic",
"computation"
] |
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