messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 15x + 10 = 460"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 15x = 450. Divide by 15: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 819 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 819 × (1 - 80/100) = 819 × 0.19999999999999996 = 163.8.\n</reasoning>\nFinal Answer: 163.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -405 ÷ -960"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -405 by -960. -405 ÷ -960 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/3 + 7/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/3 + 7/20. Common denominator = 60. Result = 361/60.\n</reasoning>\nFinal Answer: 361/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 40 - 624"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 624 from 40: 40 - 624 = -584.\n</reasoning>\nFinal Answer: -584"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/2 + 19/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/2 + 19/12. Common denominator = 12. Result = 115/12.\n</reasoning>\nFinal Answer: 115/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 28 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n28 = 2 × 14, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 51, 5, 100, 20, 73, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 349/7 = 49.8571.\n</reasoning>\nFinal Answer: 49.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [72, 3, 78, 97, 67, 14, 55, 18, 31, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 3 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -519 + -255"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -519 and -255: -519 + -255 = -774.\n</reasoning>\nFinal Answer: -774"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 * 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/17) × (19/19) = (76/323) = 4/17 after simplification.\n</reasoning>\nFinal Answer: 4/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -218 × -649"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -218 by -649: -218 × -649 = 141482.\n</reasoning>\nFinal Answer: 141482"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -7 = 329"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 7x = 336. Divide by 7: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 8, 9, 14, 15, 17] and B = [1, 9, 11, 12, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 8, 14].\n</reasoning>\nFinal Answer: [7, 8, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 2, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (14-1)×2 = 35 + 26 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -439 + -98"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -439 and -98: -439 + -98 = -537.\n</reasoning>\nFinal Answer: -537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -4 = 542"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 13x = 546. Divide by 13: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 37 = 85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 8x = 48. Divide by 8: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 133 and 192."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(133,192) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 16 * 32 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×32=512, then 19+512-12=519.\n</reasoning>\nFinal Answer: 519"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 77, 67, 76, 33, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 337/6 = 56.1667.\n</reasoning>\nFinal Answer: 56.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 36) * (47 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+36)=68, (47-4)=43, then 68×43=2924.\n</reasoning>\nFinal Answer: 2924"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 200 apples and buys 99 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 200 + 99 = 299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 84 - -671"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -671 from 84: 84 - -671 = 755.\n</reasoning>\nFinal Answer: 755"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -569 ÷ -919"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -569 by -919. -569 ÷ -919 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 21 = -59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 8x = -80. Divide by 8: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 12 apples and buys 29 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 12 + 29 = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:50 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/50, so B = A × (50/35) = 89 × 50/35 = 127.1429.\n</reasoning>\nFinal Answer: 127.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 750 - 162"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 162 from 750: 750 - 162 = 588.\n</reasoning>\nFinal Answer: 588"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [94, 77, 49, 28, 98, 26, 24, 51, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 524/9 = 58.2222.\n</reasoning>\nFinal Answer: 58.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 5 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 47+25-49=23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 3% of 786?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 786 = (3/100) × 786 = 23.58.\n</reasoning>\nFinal Answer: 23.58"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 76, 49, 46, 36, 35, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 356/7 = 50.8571.\n</reasoning>\nFinal Answer: 50.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -942 mod 453"
},
{
"role": "assistant",
"content": "<reasoning>\n-942 mod 453: -942 = 453 × -3 + 417, so remainder = 417.\n</reasoning>\nFinal Answer: 417"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "39 is what percentage of 144?"
},
{
"role": "assistant",
"content": "<reasoning>\n(39/144) × 100 = 27.0833%.\n</reasoning>\nFinal Answer: 27.0833%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 814 - 261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 261 from 814: 814 - 261 = 553.\n</reasoning>\nFinal Answer: 553"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×24)/8 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 20 * 49 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×49=980, then 15+980-10=985.\n</reasoning>\nFinal Answer: 985"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 * 17/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/13) × (17/19) = (238/247) = 238/247 after simplification.\n</reasoning>\nFinal Answer: 238/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/6 / 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/6) ÷ (13/15) = (13/6) × (15/13) = 5/2.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 84 - -595"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -595 from 84: 84 - -595 = 679.\n</reasoning>\nFinal Answer: 679"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 964 + 405"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 964 and 405: 964 + 405 = 1369.\n</reasoning>\nFinal Answer: 1369"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 25 + 16 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×25=75 and 16×21=336, then add: 411.\n</reasoning>\nFinal Answer: 411"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 28 * 48 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×48=1344, then 41+1344-1=1384.\n</reasoning>\nFinal Answer: 1384"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -540 ÷ -258"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -540 by -258. -540 ÷ -258 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 44 = 89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 15x = 45. Divide by 15: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 46 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 46 × 63 = 2898.\n</reasoning>\nFinal Answer: 2898"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 3 = 29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 1x = 26. Divide by 1: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 49 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(49,24) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:24 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/24, so B = A × (24/17) = 48 × 24/17 = 67.7647.\n</reasoning>\nFinal Answer: 67.7647"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 763 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 763 × (1 + 25/100) = 763 × 1.25 = 953.75.\n</reasoning>\nFinal Answer: 953.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32493 at 4% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32493 × 4 × 10 / 100 = 12997.2.\n</reasoning>\nFinal Answer: 12997.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2909 at 8% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2909 × 8 × 3 / 100 = 698.16.\n</reasoning>\nFinal Answer: 698.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-18)x + (-20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -18² - 4×2×-20 = 484. √discriminant = 22. x = (-(-18) ± 22) / (2×2). Solutions: x = 10 or x = -1.\n</reasoning>\nFinal Answer: x = 10 or x = -... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -859 mod -363"
},
{
"role": "assistant",
"content": "<reasoning>\n-859 mod -363: -859 = -363 × 2 + -133, so remainder = -133.\n</reasoning>\nFinal Answer: -133"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 2) * (23 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+2)=33, (23-6)=17, then 33×17=561.\n</reasoning>\nFinal Answer: 561"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 33 = 337"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 16x = 304. Divide by 16: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:17 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/17, so B = A × (17/9) = 83 × 17/9 = 156.7778.\n</reasoning>\nFinal Answer: 156.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -47 ÷ 698"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -47 by 698. -47 ÷ 698 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 29 and 46."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (29×46)/1 = 1334.\n</reasoning>\nFinal Answer: 1334"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 11 + 17 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×11=33 and 17×47=799, then add: 832.\n</reasoning>\nFinal Answer: 832"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [87, 36, 60, 46, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [36, 36, 46, 60, 87]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 8/5 + 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/5 + 5/1. Common denominator = 5. Result = 33/5.\n</reasoning>\nFinal Answer: 33/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 47 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 47 × 47 = 1104.5.\n</reasoning>\nFinal Answer: 1104.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:2 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/2, so B = A × (2/19) = 4 × 2/19 = 0.4211.\n</reasoning>\nFinal Answer: 0.4211"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 24 + 21 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×24=528 and 21×22=462, then add: 990.\n</reasoning>\nFinal Answer: 990"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 122 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 122 × (1 + 90/100) = 122 × 1.9 = 231.8.\n</reasoning>\nFinal Answer: 231.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 24 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+24) × 13 = 162.5.\n</reasoning>\nFinal Answer: 162.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 47 = -1393"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 30x = -1440. Divide by 30: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 - 11/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/7 - 11/20. LCD = 140. Result = 243/140.\n</reasoning>\nFinal Answer: 243/140"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:30 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/30, so B = A × (30/2) = 38 × 30/2 = 570.0.\n</reasoning>\nFinal Answer: 570.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1864. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1864 × 12/100 = 223.68. Total = 1864 + 223.68 = 2087.68.\n</reasoning>\nFinal Answer: 2087.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 50 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (50×18)/2 = 450.\n</reasoning>\nFinal Answer: 450"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 * 3/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/1) × (3/7) = (57/7) = 57/7 after simplification.\n</reasoning>\nFinal Answer: 57/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 281 mod 483"
},
{
"role": "assistant",
"content": "<reasoning>\n281 mod 483: 281 = 483 × 0 + 281, so remainder = 281.\n</reasoning>\nFinal Answer: 281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -468 × -945"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -468 by -945: -468 × -945 = 442260.\n</reasoning>\nFinal Answer: 442260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 99 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 99 × 79 = 3910.5.\n</reasoning>\nFinal Answer: 3910.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/1 * 16/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/1) × (16/19) = (320/19) = 320/19 after simplification.\n</reasoning>\nFinal Answer: 320/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 319 + -749"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 319 and -749: 319 + -749 = -430.\n</reasoning>\nFinal Answer: -430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 975 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 975 × (1 - 45/100) = 975 × 0.55 = 536.25.\n</reasoning>\nFinal Answer: 536.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -42 = -618"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 12x = -576. Divide by 12: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -3 = -63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 10x = -60. Divide by 10: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [53, 85, 18, 2, 15, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 15, 18, 53, 78, 85]. Middle value(s) → median = 35.5.\n</reasoning>\nFinal Answer: 35.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 108 apples and buys 95 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 108 + 95 = 203.\n</reasoning>\nFinal Answer: 203"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 50 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 50 × 78 = 3900.\n</reasoning>\nFinal Answer: 3900"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 8, 9, 10, 16, 18] and B = [1, 3, 6, 7, 11, 14, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 6, 7, 8, 9, 10, 11, 14, 18, 19].\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 65 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(65+98) = 2×163 = 326.\n</reasoning>\nFinal Answer: 326"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [4, 11, 17] and B = [3, 10, 13], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 11, 17].\n</reasoning>\nFinal Answer: [4, 11, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -31 = -361"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 11x = -330. Divide by 11: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3873. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3873 × 12/100 = 464.76. Total = 3873 + 464.76 = 4337.76.\n</reasoning>\nFinal Answer: 4337.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "31 is what percentage of 505?"
},
{
"role": "assistant",
"content": "<reasoning>\n(31/505) × 100 = 6.1386%.\n</reasoning>\nFinal Answer: 6.1386%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4915 at 3% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4915 × 3 × 9 / 100 = 1327.05.\n</reasoning>\nFinal Answer: 1327.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹941. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 941 × 5/100 = 47.05. Total = 941 + 47.05 = 988.05.\n</reasoning>\nFinal Answer: 988.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32128 at 7% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32128 × 7 × 7 / 100 = 15742.72.\n</reasoning>\nFinal Answer: 15742.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 21 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 21 = 378 worker-days. New time = 378 / 15 = 25.2 days.\n</reasoning>\nFinal Answer: 25.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/8 + 17/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/8 + 17/2. Common denominator = 8. Result = 87/8.\n</reasoning>\nFinal Answer: 87/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 87, 38, 56, 87, 4, 29, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 480/8 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 722 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 722 × (1 + 65/100) = 722 × 1.65 = 1191.3.\n</reasoning>\nFinal Answer: 1191.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -110 × -982"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -110 by -982: -110 × -982 = 108020.\n</reasoning>\nFinal Answer: 108020"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -170 × -546"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -170 by -546: -170 × -546 = 92820.\n</reasoning>\nFinal Answer: 92820"
}
] | medium | [
"arithmetic",
"computation"
] |
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