messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 20x + -45 = 615"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 20x = 660. Divide by 20: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 8 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 8 × 30 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -818 mod -830"
},
{
"role": "assistant",
"content": "<reasoning>\n-818 mod -830: -818 = -830 × 0 + -818, so remainder = -818.\n</reasoning>\nFinal Answer: -818"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -629 - -645"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -645 from -629: -629 - -645 = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 927 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 927 × (1 - 80/100) = 927 × 0.19999999999999996 = 185.4.\n</reasoning>\nFinal Answer: 185.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 5 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 5 × 80 = 400.\n</reasoning>\nFinal Answer: 400"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -499 + 106"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -499 and 106: -499 + 106 = -393.\n</reasoning>\nFinal Answer: -393"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -980 × -435"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -980 by -435: -980 × -435 = 426300.\n</reasoning>\nFinal Answer: 426300"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -24 = 88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 16x = 112. Divide by 16: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 + 2/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/17 + 2/6. Common denominator = 51. Result = 20/51.\n</reasoning>\nFinal Answer: 20/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 150 km/h. How far does it travel in 3 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 47/60 = 3.7833 hours. Distance = speed × time = 150 × 3.7833 = 567.5 km.\n</reasoning>\nFinal Answer: 567.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 528 mod -605"
},
{
"role": "assistant",
"content": "<reasoning>\n528 mod -605: 528 = -605 × -1 + -77, so remainder = -77.\n</reasoning>\nFinal Answer: -77"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 8, 17] and B = [2, 3, 8, 12, 13, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 4, 7, 8, 12, 13, 17, 18, 19].\n</reasoning>\nFinal Answer: [2, 3, 4, 7, 8, 12, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 16) * (20 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+16)=27, (20-12)=8, then 27×8=216.\n</reasoning>\nFinal Answer: 216"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 3 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 4+9-49=-36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 + 1/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/5 + 1/20. Common denominator = 20. Result = 61/20.\n</reasoning>\nFinal Answer: 61/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 688 - -145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -145 from 688: 688 - -145 = 833.\n</reasoning>\nFinal Answer: 833"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 565 ÷ -144"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 565 by -144. 565 ÷ -144 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/18 / 8/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/18) ÷ (8/4) = (3/18) × (4/8) = 1/12.\n</reasoning>\nFinal Answer: 1/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 30 + 41 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×30=1020 and 41×38=1558, then add: 2578.\n</reasoning>\nFinal Answer: 2578"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 73 mod -328"
},
{
"role": "assistant",
"content": "<reasoning>\n73 mod -328: 73 = -328 × -1 + -255, so remainder = -255.\n</reasoning>\nFinal Answer: -255"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 17 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (17×20)/1 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 49) * (49 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+49)=88, (49-6)=43, then 88×43=3784.\n</reasoning>\nFinal Answer: 3784"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -720 - -563"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -563 from -720: -720 - -563 = -157.\n</reasoning>\nFinal Answer: -157"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 27 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 32+729-40=721.\n</reasoning>\nFinal Answer: 721"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 511 - 642"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 642 from 511: 511 - 642 = -131.\n</reasoning>\nFinal Answer: -131"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -188 × 347"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -188 by 347: -188 × 347 = -65236.\n</reasoning>\nFinal Answer: -65236"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -561 + -916"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -561 and -916: -561 + -916 = -1477.\n</reasoning>\nFinal Answer: -1477"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -42 + 548"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -42 and 548: -42 + 548 = 506.\n</reasoning>\nFinal Answer: 506"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 41 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(41+40) = 2×81 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 21 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 41+441-48=434.\n</reasoning>\nFinal Answer: 434"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 - 2/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/11 - 2/17. LCD = 187. Result = 148/187.\n</reasoning>\nFinal Answer: 148/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 10, 14, 18, 19] and B = [1, 6, 11, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 6, 10, 11, 14, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 5, 6, 10, 11, 14... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 12, 15] and B = [1, 6, 8, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 6, 8, 12, 15, 16].\n</reasoning>\nFinal Answer: [1, 3, 4, 6, 8, 12, 15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 114 apples and buys 185 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 114 + 185 = 299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 7 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 7 × 49 = 171.5.\n</reasoning>\nFinal Answer: 171.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 6, 49, 70, 85, 9, 15, 66, 87, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 9, 15, 33, 49, 66, 70, 70, 85, 87]. Middle value(s) → median = 57.5.\n</reasoning>\nFinal Answer: 57.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 19 * 13 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×13=247, then 1+247-1=247.\n</reasoning>\nFinal Answer: 247"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -25 = -157"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 6x = -132. Divide by 6: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 50, 50 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (50+50) × 47 = 2350.0.\n</reasoning>\nFinal Answer: 2350.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 4 * 26 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×26=104, then 17+104-47=74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 97 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 97 × 39 = 3783.\n</reasoning>\nFinal Answer: 3783"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 23 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 23 = 322 worker-days. New time = 322 / 9 = 35.7778 days.\n</reasoning>\nFinal Answer: 35.7778"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1062. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1062 × 28/100 = 297.36. Total = 1062 + 297.36 = 1359.36.\n</reasoning>\nFinal Answer: 1359.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 401 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 401 × (1 - 12/100) = 401 × 0.88 = 352.88.\n</reasoning>\nFinal Answer: 352.88"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -10 = -46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 3x = -36. Divide by 3: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 60, 87, 46, 85, 11, 88, 63, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 26, 28, 46, 60, 63, 85, 87, 88]. Middle value(s) → median = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-20)x + (32) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -20² - 4×2×32 = 144. √discriminant = 12. x = (-(-20) ± 12) / (2×2). Solutions: x = 2 or x = 8.\n</reasoning>\nFinal Answer: x = 2 or x = 8"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:39 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/39, so B = A × (39/7) = 58 × 39/7 = 323.1429.\n</reasoning>\nFinal Answer: 323.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 70 × 675"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 70 by 675: 70 × 675 = 47250.\n</reasoning>\nFinal Answer: 47250"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 / 17/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/14) ÷ (17/15) = (10/14) × (15/17) = 75/119.\n</reasoning>\nFinal Answer: 75/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -925 + 926"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -925 and 926: -925 + 926 = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -39 = 1011"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 25x = 1050. Divide by 25: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [9, 13, 91, 57, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 246/5 = 49.2.\n</reasoning>\nFinal Answer: 49.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 17/11 - 8/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/11 - 8/7. LCD = 77. Result = 31/77.\n</reasoning>\nFinal Answer: 31/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36896 at 12% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36896 × 12 × 5 / 100 = 22137.6.\n</reasoning>\nFinal Answer: 22137.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 374 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 374 × (1 + 15/100) = 374 × 1.15 = 430.1.\n</reasoning>\nFinal Answer: 430.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 12 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 12 × 53 = 636.\n</reasoning>\nFinal Answer: 636"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 249 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 249 × (1 + 35/100) = 249 × 1.35 = 336.15.\n</reasoning>\nFinal Answer: 336.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -717 + -824"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -717 and -824: -717 + -824 = -1541.\n</reasoning>\nFinal Answer: -1541"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 508 + 330"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 508 and 330: 508 + 330 = 838.\n</reasoning>\nFinal Answer: 838"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 29 = 380"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 27x = 351. Divide by 27: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:48 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/48, so B = A × (48/22) = 92 × 48/22 = 200.7273.\n</reasoning>\nFinal Answer: 200.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/19 / 16/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/19) ÷ (16/15) = (5/19) × (15/16) = 75/304.\n</reasoning>\nFinal Answer: 75/304"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:31 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/31, so B = A × (31/30) = 24 × 31/30 = 24.8.\n</reasoning>\nFinal Answer: 24.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "103 is what percentage of 151?"
},
{
"role": "assistant",
"content": "<reasoning>\n(103/151) × 100 = 68.2119%.\n</reasoning>\nFinal Answer: 68.2119%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "50 is what percentage of 110?"
},
{
"role": "assistant",
"content": "<reasoning>\n(50/110) × 100 = 45.4545%.\n</reasoning>\nFinal Answer: 45.4545%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 582 + -460"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 582 and -460: 582 + -460 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 190."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 190 by smallest primes repeatedly: 190 = 2 × 5 × 19.\n</reasoning>\nFinal Answer: 2 × 5 × 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 4/6 - 7/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/6 - 7/15. LCD = 15. Result = 1/5.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 621 ÷ -631"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 621 by -631. 621 ÷ -631 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -979 + 243"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -979 and 243: -979 + 243 = -736.\n</reasoning>\nFinal Answer: -736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -47 = -747"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 14x = -700. Divide by 14: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -567 + 390"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -567 and 390: -567 + 390 = -177.\n</reasoning>\nFinal Answer: -177"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -15 = -653"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 22x = -638. Divide by 22: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 945 - -345"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -345 from 945: 945 - -345 = 1290.\n</reasoning>\nFinal Answer: 1290"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 31 * 50 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×50=1550, then 5+1550-28=1527.\n</reasoning>\nFinal Answer: 1527"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 6, 7, 10, 13, 18] and B = [9, 10, 14, 15, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10, 18].\n</reasoning>\nFinal Answer: [10, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [37, 56, 75, 94, 113]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 37 and common difference 19. Next term = 113 + 19 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2818 at 11% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2818 × 11 × 4 / 100 = 1239.92.\n</reasoning>\nFinal Answer: 1239.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×11)/1 = 506.\n</reasoning>\nFinal Answer: 506"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -694 - 451"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 451 from -694: -694 - 451 = -1145.\n</reasoning>\nFinal Answer: -1145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/19 + 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/19 + 17/14. Common denominator = 266. Result = 603/266.\n</reasoning>\nFinal Answer: 603/266"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 42 * 24 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×24=1008, then 18+1008-45=981.\n</reasoning>\nFinal Answer: 981"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/14 - 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/14 - 15/13. LCD = 182. Result = -171/182.\n</reasoning>\nFinal Answer: -171/182"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 72 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 72 × 2 = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -22 = 680"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 18x = 702. Divide by 18: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -476 + -225"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -476 and -225: -476 + -225 = -701.\n</reasoning>\nFinal Answer: -701"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 25 = 841"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 24x = 816. Divide by 24: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 683 - 651"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 651 from 683: 683 - 651 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 9 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(9+57) = 2×66 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 35) * (4 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+35)=42, (4-31)=-27, then 42×-27=-1134.\n</reasoning>\nFinal Answer: -1134"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 10, 16] and B = [1, 11, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 7, 10, 11, 16, 17].\n</reasoning>\nFinal Answer: [1, 2, 7, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 61, 70, 34, 29, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 2, 61: 1, 34: 1, 29: 1, 23: 1}. Most frequent: 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹3041. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3041 × 12/100 = 364.92. Total = 3041 + 364.92 = 3405.92.\n</reasoning>\nFinal Answer: 3405.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:37 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/37, so B = A × (37/49) = 37 × 37/49 = 27.9388.\n</reasoning>\nFinal Answer: 27.9388"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -425 mod -544"
},
{
"role": "assistant",
"content": "<reasoning>\n-425 mod -544: -425 = -544 × 0 + -425, so remainder = -425.\n</reasoning>\nFinal Answer: -425"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 53 km/h. How far does it travel in 5 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 45/60 = 5.7500 hours. Distance = speed × time = 53 × 5.7500 = 304.75 km.\n</reasoning>\nFinal Answer: 304.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/2 + 7/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/2 + 7/18. Common denominator = 18. Result = 53/9.\n</reasoning>\nFinal Answer: 53/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -661 ÷ -337"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -661 by -337. -661 ÷ -337 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.