messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 5, 11, 15, 16, 17] and B = [4, 7, 9, 11, 13, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3, 5, 16, 17].\n</reasoning>\nFinal Answer: [1, 3, 5, 16, 17]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -187 + -609"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -187 and -609: -187 + -609 = -796.\n</reasoning>\nFinal Answer: -796"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -238 - -546"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -546 from -238: -238 - -546 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 966 mod 969"
},
{
"role": "assistant",
"content": "<reasoning>\n966 mod 969: 966 = 969 × 0 + 966, so remainder = 966.\n</reasoning>\nFinal Answer: 966"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 * 19/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/20) × (19/1) = (95/20) = 19/4 after simplification.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [81, 63, 82, 72, 84, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 413/6 = 68.8333.\n</reasoning>\nFinal Answer: 68.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -191 + -851"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -191 and -851: -191 + -851 = -1042.\n</reasoning>\nFinal Answer: -1042"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 30 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 30 × 57 = 855.0.\n</reasoning>\nFinal Answer: 855.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 44, 8 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (44+8) × 8 = 208.0.\n</reasoning>\nFinal Answer: 208.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/7 - 14/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/7 - 14/15. LCD = 105. Result = -23/105.\n</reasoning>\nFinal Answer: -23/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "130 is what percentage of 288?"
},
{
"role": "assistant",
"content": "<reasoning>\n(130/288) × 100 = 45.1389%.\n</reasoning>\nFinal Answer: 45.1389%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 81 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 81 × 20 = 1620.\n</reasoning>\nFinal Answer: 1620"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 147 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 147 × (1 + 15/100) = 147 × 1.15 = 169.05.\n</reasoning>\nFinal Answer: 169.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 352 × -142"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 352 by -142: 352 × -142 = -49984.\n</reasoning>\nFinal Answer: -49984"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [14, 37, 61, 39, 35, 77, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 35, 37, 39, 59, 61, 77]. Middle value(s) → median = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38073 at 18% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38073 × 18 × 10 / 100 = 68531.4.\n</reasoning>\nFinal Answer: 68531.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/14 + 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/14 + 20/7. Common denominator = 14. Result = 47/14.\n</reasoning>\nFinal Answer: 47/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 12 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 12 = 240 worker-days. New time = 240 / 14 = 17.1429 days.\n</reasoning>\nFinal Answer: 17.1429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 60 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 60 × 58 = 3480.\n</reasoning>\nFinal Answer: 3480"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [91, 46, 34, 80, 26, 54, 96, 82, 12, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 595/10 = 59.5.\n</reasoning>\nFinal Answer: 59.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 265 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 265 × (1 + 12/100) = 265 × 1.12 = 296.8.\n</reasoning>\nFinal Answer: 296.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 32 = 20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 12x = -12. Divide by 12: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -850 - 104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 104 from -850: -850 - 104 = -954.\n</reasoning>\nFinal Answer: -954"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 3, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (26-1)×3 = 16 + 75 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 859 km apart. Their speeds are 96 km/h and 79 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 96+79=175 km/h. Time = 859/175 = 4.9086 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-10)x + (24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -10² - 4×1×24 = 4. √discriminant = 2. x = (-(-10) ± 2) / (2×1). Solutions: x = 4 or x = 6.\n</reasoning>\nFinal Answer: x = 4 or x = 6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×48)/1 = 2352.\n</reasoning>\nFinal Answer: 2352"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -484 mod -63"
},
{
"role": "assistant",
"content": "<reasoning>\n-484 mod -63: -484 = -63 × 7 + -43, so remainder = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 38 = 413"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 25x = 375. Divide by 25: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 848 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 848 × (1 + 12/100) = 848 × 1.12 = 949.76.\n</reasoning>\nFinal Answer: 949.76"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 18 * 50 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×50=900, then 45+900-9=936.\n</reasoning>\nFinal Answer: 936"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [85, 56, 43, 85, 91, 32, 30, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {85: 2, 56: 1, 43: 1, 91: 1, 32: 1, 30: 1, 20: 1}. Most frequent: 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:30 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/30, so B = A × (30/5) = 25 × 30/5 = 150.0.\n</reasoning>\nFinal Answer: 150.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 35 = -1365"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 28x = -1400. Divide by 28: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 19 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 25+361-31=355.\n</reasoning>\nFinal Answer: 355"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9652 at 18% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9652 × 18 × 1 / 100 = 1737.36.\n</reasoning>\nFinal Answer: 1737.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 15, 19] and B = [1, 3, 4, 6, 8, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 5, 6, 8, 15, 17, 19].\n</reasoning>\nFinal Answer: [1, 3, 4, 5, 6, 8, 15, 17, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -34 = -139"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 7x = -105. Divide by 7: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 / 9/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/7) ÷ (9/18) = (18/7) × (18/9) = 36/7.\n</reasoning>\nFinal Answer: 36/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 70% of 751?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 751 = (70/100) × 751 = 525.7.\n</reasoning>\nFinal Answer: 525.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 19 = 261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 22x = 242. Divide by 22: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 16 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 16 = 64 worker-days. New time = 64 / 14 = 4.5714 days.\n</reasoning>\nFinal Answer: 4.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:14 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/14, so B = A × (14/34) = 44 × 14/34 = 18.1176.\n</reasoning>\nFinal Answer: 18.1176"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 15 = 83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 4x = 68. Divide by 4: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -630 ÷ -555"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -630 by -555. -630 ÷ -555 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 14, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (39-1)×14 = 22 + 532 = 554.\n</reasoning>\nFinal Answer: 554"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -969 × 502"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -969 by 502: -969 × 502 = -486438.\n</reasoning>\nFinal Answer: -486438"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 5, 4, 40, 73, 86, 45, 52, 6, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 5: 1, 4: 1, 40: 1, 73: 1, 86: 1, 45: 1, 52: 1, 6: 1, 33: 1}. Most frequent: [78, 5, 4, 40, 73, 86, 45, 52, 6, 33].\n</reasoning>\nF... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 562 mod 324"
},
{
"role": "assistant",
"content": "<reasoning>\n562 mod 324: 562 = 324 × 1 + 238, so remainder = 238.\n</reasoning>\nFinal Answer: 238"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 14 = -294"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 22x = -308. Divide by 22: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -6 = -550"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 16x = -544. Divide by 16: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23870 at 6% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23870 × 6 × 4 / 100 = 5728.8.\n</reasoning>\nFinal Answer: 5728.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 26 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 26 = 234 worker-days. New time = 234 / 11 = 21.2727 days.\n</reasoning>\nFinal Answer: 21.2727"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:27 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/27, so B = A × (27/25) = 6 × 27/25 = 6.48.\n</reasoning>\nFinal Answer: 6.48"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 15, 26, 88, 6, 70, 43, 49, 51, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 6 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 93 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 93 × 15 = 697.5.\n</reasoning>\nFinal Answer: 697.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -14 = -266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 18x = -252. Divide by 18: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -586 + -726"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -586 and -726: -586 + -726 = -1312.\n</reasoning>\nFinal Answer: -1312"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 540 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 540 × (1 + 15/100) = 540 × 1.15 = 621.0.\n</reasoning>\nFinal Answer: 621.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 37 + 10 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×37=1147 and 10×5=50, then add: 1197.\n</reasoning>\nFinal Answer: 1197"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 50 and width 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 50 × 14 = 700.\n</reasoning>\nFinal Answer: 700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [10, 5, 92, 74, 79, 31, 58, 74, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 10, 31, 50, 58, 74, 74, 79, 92]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 46) * (2 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+46)=55, (2-11)=-9, then 55×-9=-495.\n</reasoning>\nFinal Answer: -495"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 401 - 394"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 394 from 401: 401 - 394 = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 33) * (17 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+33)=65, (17-23)=-6, then 65×-6=-390.\n</reasoning>\nFinal Answer: -390"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 9, 11, 12, 13, 17, 18] and B = [2, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [9, 11, 12, 13, 18, 19].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 6, 17, 18, 19] and B = [3, 7, 9], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 4, 6, 7, 9, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 4, 6, 7, 9, 17, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -613 - -248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -248 from -613: -613 - -248 = -365.\n</reasoning>\nFinal Answer: -365"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [90, 74, 93, 59, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 377/5 = 75.4.\n</reasoning>\nFinal Answer: 75.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 7/8 / 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/8) ÷ (2/14) = (7/8) × (14/2) = 49/8.\n</reasoning>\nFinal Answer: 49/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/10 * 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/10) × (19/16) = (266/160) = 133/80 after simplification.\n</reasoning>\nFinal Answer: 133/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/20 + 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/20 + 14/20. Common denominator = 10. Result = 17/10.\n</reasoning>\nFinal Answer: 17/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 44. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 44² = π × 1936 ≈ 6082.1234.\n</reasoning>\nFinal Answer: 6082.1234"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Find the median of: [48, 50, 28, 77, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 48, 50, 77, 100]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×14)/1 = 322.\n</reasoning>\nFinal Answer: 322"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 15 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 15 × 65 = 487.5.\n</reasoning>\nFinal Answer: 487.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 408 ÷ -917"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 408 by -917. 408 ÷ -917 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 34 * 29 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×29=986, then 18+986-50=954.\n</reasoning>\nFinal Answer: 954"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:33 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/33, so B = A × (33/37) = 23 × 33/37 = 20.5135.\n</reasoning>\nFinal Answer: 20.5135"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 50 = 83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 11x = 33. Divide by 11: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12611 at 19% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12611 × 19 × 6 / 100 = 14376.54.\n</reasoning>\nFinal Answer: 14376.54"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 23 × -678"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 23 by -678: 23 × -678 = -15594.\n</reasoning>\nFinal Answer: -15594"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 948 + -414"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 948 and -414: 948 + -414 = 534.\n</reasoning>\nFinal Answer: 534"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [99, 12, 21, 72, 30, 76, 3, 18, 35, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 435/10 = 43.5.\n</reasoning>\nFinal Answer: 43.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 45% of 579?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 579 = (45/100) × 579 = 260.55.\n</reasoning>\nFinal Answer: 260.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 958 km apart. Their speeds are 80 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 80+63=143 km/h. Time = 958/143 = 6.6993 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 * 3/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/14) × (3/12) = (18/168) = 3/28 after simplification.\n</reasoning>\nFinal Answer: 3/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 250 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 250 × (1 + 40/100) = 250 × 1.4 = 350.0.\n</reasoning>\nFinal Answer: 350.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/9 + 17/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/9 + 17/18. Common denominator = 18. Result = 13/6.\n</reasoning>\nFinal Answer: 13/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 16 = -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 1x = -30. Divide by 1: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [94, 92, 18, 34, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 325/5 = 65.0.\n</reasoning>\nFinal Answer: 65.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 6 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 6 = 96 worker-days. New time = 96 / 6 = 16.0 days.\n</reasoning>\nFinal Answer: 16.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 50 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 47+2500-48=2499.\n</reasoning>\nFinal Answer: 2499"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 5% of 471?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 471 = (5/100) × 471 = 23.55.\n</reasoning>\nFinal Answer: 23.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 16 = -7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 23x = -23. Divide by 23: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 6, 59, 74, 59, 63, 21, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 417/8 = 52.125.\n</reasoning>\nFinal Answer: 52.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 824 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 824 × (1 + 45/100) = 824 × 1.45 = 1194.8.\n</reasoning>\nFinal Answer: 1194.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44372 at 12% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44372 × 12 × 5 / 100 = 26623.2.\n</reasoning>\nFinal Answer: 26623.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 16 and width 92."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(16+92) = 2×108 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 6 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 6 × 48 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | easy | [
"geometry",
"area"
] |
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