messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 11 + 47 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×11=473 and 47×49=2303, then add: 2776.\n</reasoning>\nFinal Answer: 2776"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [10, 15, 17] and B = [1, 4, 5, 7, 13], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 7, 10, 13, 15, 17].\n</reasoning>\nFinal Answer: [1, 4, 5, 7, 10, 13, 15, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 36 = 369"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 9x = 333. Divide by 9: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 + 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/15 + 1/14. Common denominator = 14. Result = 15/14.\n</reasoning>\nFinal Answer: 15/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 31 * 20 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×20=620, then 44+620-19=645.\n</reasoning>\nFinal Answer: 645"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -17 = -523"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 23x = -506. Divide by 23: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 831 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 831 × (1 - 50/100) = 831 × 0.5 = 415.5.\n</reasoning>\nFinal Answer: 415.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 10 and height 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 10 × 81 = 810.\n</reasoning>\nFinal Answer: 810"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/8 - 13/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/8 - 13/10. LCD = 40. Result = -47/40.\n</reasoning>\nFinal Answer: -47/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 45 * 28 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×28=1260, then 23+1260-31=1252.\n</reasoning>\nFinal Answer: 1252"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 45 * 43 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×43=1935, then 17+1935-19=1933.\n</reasoning>\nFinal Answer: 1933"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -13 = -823"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 27x = -810. Divide by 27: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 86 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 86 × 66 = 5676.\n</reasoning>\nFinal Answer: 5676"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 70 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 70 × 69 = 4830.\n</reasoning>\nFinal Answer: 4830"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:29 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/29, so B = A × (29/35) = 75 × 29/35 = 62.1429.\n</reasoning>\nFinal Answer: 62.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 7, 9, 11, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 5 and common difference 2. Next term = 13 + 2 = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-4)x + (-45) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -4² - 4×1×-45 = 196. √discriminant = 14. x = (-(-4) ± 14) / (2×1). Solutions: x = 9 or x = -5.\n</reasoning>\nFinal Answer: x = 9 or x = -5"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -598 ÷ -572"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -598 by -572. -598 ÷ -572 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -514 × 275"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -514 by 275: -514 × 275 = -141350.\n</reasoning>\nFinal Answer: -141350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×27)/3 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [27, 61, 59, 12, 39, 43, 59, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 340/8 = 42.5.\n</reasoning>\nFinal Answer: 42.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 756 × -519"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 756 by -519: 756 × -519 = -392364.\n</reasoning>\nFinal Answer: -392364"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:1 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/1, so B = A × (1/15) = 74 × 1/15 = 4.9333.\n</reasoning>\nFinal Answer: 4.9333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 55 km/h. How far does it travel in 1 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 14/60 = 1.2333 hours. Distance = speed × time = 55 × 1.2333 = 67.8333 km.\n</reasoning>\nFinal Answer: 67.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 39) * (6 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+39)=80, (6-42)=-36, then 80×-36=-2880.\n</reasoning>\nFinal Answer: -2880"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:13 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/13, so B = A × (13/48) = 40 × 13/48 = 10.8333.\n</reasoning>\nFinal Answer: 10.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3280. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3280 × 28/100 = 918.4. Total = 3280 + 918.4 = 4198.4.\n</reasoning>\nFinal Answer: 4198.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -44 = 469"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 19x = 513. Divide by 19: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 850 mod 141"
},
{
"role": "assistant",
"content": "<reasoning>\n850 mod 141: 850 = 141 × 6 + 4, so remainder = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -38 = -472"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 14x = -434. Divide by 14: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 636 + 295"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 636 and 295: 636 + 295 = 931.\n</reasoning>\nFinal Answer: 931"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -468 × 782"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -468 by 782: -468 × 782 = -365976.\n</reasoning>\nFinal Answer: -365976"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 6 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 13+36-28=21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -734 - 897"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 897 from -734: -734 - 897 = -1631.\n</reasoning>\nFinal Answer: -1631"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 394 ÷ -273"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 394 by -273. 394 ÷ -273 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -512 - -321"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -321 from -512: -512 - -321 = -191.\n</reasoning>\nFinal Answer: -191"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 47) * (43 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+47)=66, (43-32)=11, then 66×11=726.\n</reasoning>\nFinal Answer: 726"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 300 × 213"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 300 by 213: 300 × 213 = 63900.\n</reasoning>\nFinal Answer: 63900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11940 at 20% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11940 × 20 × 7 / 100 = 16716.0.\n</reasoning>\nFinal Answer: 16716.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 32 = 152"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 5x = 120. Divide by 5: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 6, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (19-1)×6 = 11 + 108 = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 12 + 49 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×12=276 and 49×32=1568, then add: 1844.\n</reasoning>\nFinal Answer: 1844"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [9, 34, 51, 84, 14, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {9: 1, 34: 1, 51: 1, 84: 1, 14: 1, 58: 1}. Most frequent: [9, 34, 51, 84, 14, 58].\n</reasoning>\nFinal Answer: [9, 34, 51, 84, 14, 58]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20536 at 4% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20536 × 4 × 5 / 100 = 4107.2.\n</reasoning>\nFinal Answer: 4107.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [61, 25, 98, 75, 58, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {61: 1, 25: 1, 98: 1, 75: 1, 58: 1, 86: 1}. Most frequent: [61, 25, 98, 75, 58, 86].\n</reasoning>\nFinal Answer: [61, 25, 98, 75, 58, 86]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 13 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 13 = 156 worker-days. New time = 156 / 11 = 14.1818 days.\n</reasoning>\nFinal Answer: 14.1818"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -846 ÷ -600"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -846 by -600. -846 ÷ -600 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "24 is what percentage of 977?"
},
{
"role": "assistant",
"content": "<reasoning>\n(24/977) × 100 = 2.4565%.\n</reasoning>\nFinal Answer: 2.4565%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -785 mod -787"
},
{
"role": "assistant",
"content": "<reasoning>\n-785 mod -787: -785 = -787 × 0 + -785, so remainder = -785.\n</reasoning>\nFinal Answer: -785"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/7 * 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/7) × (8/2) = (104/14) = 52/7 after simplification.\n</reasoning>\nFinal Answer: 52/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 38 + 12 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×38=1254 and 12×35=420, then add: 1674.\n</reasoning>\nFinal Answer: 1674"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [35, 41, 47, 53, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 35 and common difference 6. Next term = 59 + 6 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 14 = 794"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 20x = 780. Divide by 20: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -395 + -696"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -395 and -696: -395 + -696 = -1091.\n</reasoning>\nFinal Answer: -1091"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 35 = 539"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 18x = 504. Divide by 18: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 743 - -626"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -626 from 743: 743 - -626 = 1369.\n</reasoning>\nFinal Answer: 1369"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/1 - 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/1 - 9/5. LCD = 5. Result = 81/5.\n</reasoning>\nFinal Answer: 81/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 157 apples and buys 107 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 157 + 107 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 36, 53, 6, 58, 26, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 26, 36, 53, 58, 65, 75]. Middle value(s) → median = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [54, 17, 50, 33, 94, 13, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 355/7 = 50.7143.\n</reasoning>\nFinal Answer: 50.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 11, 12, 14, 16, 19] and B = [5, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 6, 11, 12, 14, 15, 16, 18, 19].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 742 + 808"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 742 and 808: 742 + 808 = 1550.\n</reasoning>\nFinal Answer: 1550"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 68."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 68 by smallest primes repeatedly: 68 = 2 × 2 × 17.\n</reasoning>\nFinal Answer: 2 × 2 × 17"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 143 mod 722"
},
{
"role": "assistant",
"content": "<reasoning>\n143 mod 722: 143 = 722 × 0 + 143, so remainder = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 160 km/h. How far does it travel in 8 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 17/60 = 8.2833 hours. Distance = speed × time = 160 × 8.2833 = 1325.3333 km.\n</reasoning>\nFinal Answer: 1325.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 * 17/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/9) × (17/9) = (323/81) = 323/81 after simplification.\n</reasoning>\nFinal Answer: 323/81"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/3 * 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/3) × (15/17) = (285/51) = 95/17 after simplification.\n</reasoning>\nFinal Answer: 95/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 48 * 21 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×21=1008, then 14+1008-17=1005.\n</reasoning>\nFinal Answer: 1005"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -830 × 581"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -830 by 581: -830 × 581 = -482230.\n</reasoning>\nFinal Answer: -482230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 331 ÷ 549"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 331 by 549. 331 ÷ 549 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -350 - 646"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 646 from -350: -350 - 646 = -996.\n</reasoning>\nFinal Answer: -996"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 41 = -554"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 17x = -595. Divide by 17: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 42, 79, 33, 78, 17, 10, 51, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 403/9 = 44.7778.\n</reasoning>\nFinal Answer: 44.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 70% of 21?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 21 = (70/100) × 21 = 14.7.\n</reasoning>\nFinal Answer: 14.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 * 12/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/19) × (12/11) = (72/209) = 72/209 after simplification.\n</reasoning>\nFinal Answer: 72/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -48 = -10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 19x = 38. Divide by 19: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 51 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 51 × 86 = 2193.0.\n</reasoning>\nFinal Answer: 2193.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 60 and width 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 60 × 76 = 4560.\n</reasoning>\nFinal Answer: 4560"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 2 * 36 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×36=72, then 48+72-24=96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 12 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 12 × 54 = 648.\n</reasoning>\nFinal Answer: 648"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:46 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/46, so B = A × (46/21) = 19 × 46/21 = 41.619.\n</reasoning>\nFinal Answer: 41.619"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -31 = -1151"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 28x = -1120. Divide by 28: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 21 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(21+87) = 2×108 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 17 and 66."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(17,66) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 20 = 810.0.\n</reasoning>\nFinal Answer: 810.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 / 8/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/15) ÷ (8/16) = (20/15) × (16/8) = 8/3.\n</reasoning>\nFinal Answer: 8/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 283 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 283 × (1 - 75/100) = 283 × 0.25 = 70.75.\n</reasoning>\nFinal Answer: 70.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 452 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 452 × (1 - 65/100) = 452 × 0.35 = 158.2.\n</reasoning>\nFinal Answer: 158.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [12, 58, 21, 10, 65, 49, 82, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 10 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 50 = 666"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 28x = 616. Divide by 28: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -307 × -347"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -307 by -347: -307 × -347 = 106529.\n</reasoning>\nFinal Answer: 106529"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:32 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/32, so B = A × (32/15) = 56 × 32/15 = 119.4667.\n</reasoning>\nFinal Answer: 119.4667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/19 / 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/19) ÷ (20/2) = (16/19) × (2/20) = 8/95.\n</reasoning>\nFinal Answer: 8/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 516 mod -197"
},
{
"role": "assistant",
"content": "<reasoning>\n516 mod -197: 516 = -197 × -3 + -75, so remainder = -75.\n</reasoning>\nFinal Answer: -75"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 20, 71, 50, 39, 62, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 20, 39, 50, 62, 71, 96]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 7 + 32 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×7=175 and 32×28=896, then add: 1071.\n</reasoning>\nFinal Answer: 1071"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 12) * (39 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+12)=51, (39-50)=-11, then 51×-11=-561.\n</reasoning>\nFinal Answer: -561"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹238. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 238 × 18/100 = 42.84. Total = 238 + 42.84 = 280.84.\n</reasoning>\nFinal Answer: 280.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 6, 51, 29, 74, 42, 13, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 6: 1, 51: 1, 29: 1, 74: 1, 42: 1, 13: 1, 10: 1}. Most frequent: [20, 6, 51, 29, 74, 42, 13, 10].\n</reasoning>\nFinal Answer: [20, 6, 51,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 14 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 14 = 98 worker-days. New time = 98 / 9 = 10.8889 days.\n</reasoning>\nFinal Answer: 10.8889"
}
] | medium | [
"word_problem",
"applied_math"
] |
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