messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 18:38 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/38, so B = A × (38/18) = 57 × 38/18 = 120.3333.\n</reasoning>\nFinal Answer: 120.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 - 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/15 - 18/13. LCD = 13. Result = -5/13.\n</reasoning>\nFinal Answer: -5/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 47 and height 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 47 × 72 = 3384.\n</reasoning>\nFinal Answer: 3384"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [6, 11, 36, 72, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 206/5 = 41.2.\n</reasoning>\nFinal Answer: 41.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 3/1 + 15/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/1 + 15/1. Common denominator = 1. Result = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -446 ÷ 592"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -446 by 592. -446 ÷ 592 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 470 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 470 × (1 - 70/100) = 470 × 0.30000000000000004 = 141.0.\n</reasoning>\nFinal Answer: 141.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 35 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(35+70) = 2×105 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -35 = 30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 13x = 65. Divide by 13: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 740 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 740 × (1 - 45/100) = 740 × 0.55 = 407.0.\n</reasoning>\nFinal Answer: 407.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 24 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 24 × (1 + 35/100) = 24 × 1.35 = 32.4.\n</reasoning>\nFinal Answer: 32.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 70 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 70 × 7 = 245.0.\n</reasoning>\nFinal Answer: 245.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 6, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (48-1)×6 = 1 + 282 = 283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 0 = 880"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 22x = 880. Divide by 22: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 38) * (4 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+38)=68, (4-43)=-39, then 68×-39=-2652.\n</reasoning>\nFinal Answer: -2652"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 104 apples and buys 75 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 104 + 75 = 179.\n</reasoning>\nFinal Answer: 179"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 * 49 + 49 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 4×49=196 and 49×43=2107, then add: 2303.\n</reasoning>\nFinal Answer: 2303"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 55 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(55+9) = 2×64 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 148 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 148 × (1 + 10/100) = 148 × 1.1 = 162.8.\n</reasoning>\nFinal Answer: 162.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 915 mod 847"
},
{
"role": "assistant",
"content": "<reasoning>\n915 mod 847: 915 = 847 × 1 + 68, so remainder = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -411 - 940"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 940 from -411: -411 - 940 = -1351.\n</reasoning>\nFinal Answer: -1351"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -22 = 369"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 17x = 391. Divide by 17: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 34) * (14 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+34)=40, (14-45)=-31, then 40×-31=-1240.\n</reasoning>\nFinal Answer: -1240"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 13 = 325"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 12x = 312. Divide by 12: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "100 is what percentage of 158?"
},
{
"role": "assistant",
"content": "<reasoning>\n(100/158) × 100 = 63.2911%.\n</reasoning>\nFinal Answer: 63.2911%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 30 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 31+900-7=924.\n</reasoning>\nFinal Answer: 924"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 110 mod 831"
},
{
"role": "assistant",
"content": "<reasoning>\n110 mod 831: 110 = 831 × 0 + 110, so remainder = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:38 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/38, so B = A × (38/1) = 96 × 38/1 = 3648.0.\n</reasoning>\nFinal Answer: 3648.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -5 = -904"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 29x = -899. Divide by 29: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 11 * 5 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×5=55, then 8+55-7=56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19634 at 11% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19634 × 11 × 1 / 100 = 2159.74.\n</reasoning>\nFinal Answer: 2159.74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -733 - 964"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 964 from -733: -733 - 964 = -1697.\n</reasoning>\nFinal Answer: -1697"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2168 at 20% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2168 × 20 × 9 / 100 = 3902.4.\n</reasoning>\nFinal Answer: 3902.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 41 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (41×28)/1 = 1148.\n</reasoning>\nFinal Answer: 1148"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 10, 11, 17, 18] and B = [6, 10, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 6, 8, 10, 11, 16, 17, 18].\n</reasoning>\nFinal Answer: [1, 6, 8, 10, 11, 16, 17, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 / 11/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/15) ÷ (11/18) = (5/15) × (18/11) = 6/11.\n</reasoning>\nFinal Answer: 6/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 6 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 6 = 42 worker-days. New time = 42 / 11 = 3.8182 days.\n</reasoning>\nFinal Answer: 3.8182"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -46 = 163"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 19x = 209. Divide by 19: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -25 = -925"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 25x = -900. Divide by 25: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 20 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+20) × 12 = 240.0.\n</reasoning>\nFinal Answer: 240.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 71 - -735"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -735 from 71: 71 - -735 = 806.\n</reasoning>\nFinal Answer: 806"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 21 mod 663"
},
{
"role": "assistant",
"content": "<reasoning>\n21 mod 663: 21 = 663 × 0 + 21, so remainder = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 16, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (48-1)×16 = 37 + 752 = 789.\n</reasoning>\nFinal Answer: 789"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 54 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 54 × 43 = 1161.0.\n</reasoning>\nFinal Answer: 1161.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 14 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 28+196-35=189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 24 + 44 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×24=768 and 44×19=836, then add: 1604.\n</reasoning>\nFinal Answer: 1604"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/17 - 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/17 - 19/10. LCD = 170. Result = -273/170.\n</reasoning>\nFinal Answer: -273/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 115 apples and buys 53 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 115 + 53 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -158 - 512"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 512 from -158: -158 - 512 = -670.\n</reasoning>\nFinal Answer: -670"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [7, 10, 11, 14] and B = [5, 8, 10, 12, 13, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 7, 8, 11, 12, 13, 14, 16].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 7/10 + 11/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/10 + 11/20. Common denominator = 20. Result = 5/4.\n</reasoning>\nFinal Answer: 5/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 636 ÷ -735"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 636 by -735. 636 ÷ -735 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 52 km/h. How far does it travel in 8 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 39/60 = 8.6500 hours. Distance = speed × time = 52 × 8.6500 = 449.8 km.\n</reasoning>\nFinal Answer: 449.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -70 - -283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -283 from -70: -70 - -283 = 213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 25) * (45 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+25)=71, (45-39)=6, then 71×6=426.\n</reasoning>\nFinal Answer: 426"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [11, 93, 89, 70, 95, 42, 7, 41, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {11: 1, 93: 1, 89: 1, 70: 1, 95: 1, 42: 1, 7: 1, 41: 1, 71: 1}. Most frequent: [11, 93, 89, 70, 95, 42, 7, 41, 71].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 24 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+24) × 8 = 216.0.\n</reasoning>\nFinal Answer: 216.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 18, 48, 10, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 18: 1, 48: 1, 10: 1, 39: 1}. Most frequent: [87, 18, 48, 10, 39].\n</reasoning>\nFinal Answer: [87, 18, 48, 10, 39]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [73, 46, 10, 32, 48, 8, 34, 83, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 5 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -63 - 804"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 804 from -63: -63 - 804 = -867.\n</reasoning>\nFinal Answer: -867"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 23, 49, 6, 88, 89, 73, 74, 61, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 6 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 331 - -423"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -423 from 331: 331 - -423 = 754.\n</reasoning>\nFinal Answer: 754"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 1 * 16 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×16=16, then 33+16-27=22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 500 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 500 × (1 - 45/100) = 500 × 0.55 = 275.0.\n</reasoning>\nFinal Answer: 275.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 1 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 6+1-42=-35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1234. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1234 × 28/100 = 345.52. Total = 1234 + 345.52 = 1579.52.\n</reasoning>\nFinal Answer: 1579.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 28) * (45 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+28)=42, (45-23)=22, then 42×22=924.\n</reasoning>\nFinal Answer: 924"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 427 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 427 × (1 - 75/100) = 427 × 0.25 = 106.75.\n</reasoning>\nFinal Answer: 106.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 55, 81, 38, 99, 69, 38, 28, 70, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 28, 38, 38, 55, 69, 70, 81, 98, 99]. Middle value(s) → median = 62.0.\n</reasoning>\nFinal Answer: 62.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 15/12 / 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/12) ÷ (19/17) = (15/12) × (17/19) = 85/76.\n</reasoning>\nFinal Answer: 85/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -27 = -157"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 10x = -130. Divide by 10: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 * 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/20) × (12/18) = (204/360) = 17/30 after simplification.\n</reasoning>\nFinal Answer: 17/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -21 = 109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 13x = 130. Divide by 13: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 14 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 14 = 112 worker-days. New time = 112 / 12 = 9.3333 days.\n</reasoning>\nFinal Answer: 9.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 42) * (8 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+42)=63, (8-15)=-7, then 63×-7=-441.\n</reasoning>\nFinal Answer: -441"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 14 * 46 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×46=644, then 42+644-24=662.\n</reasoning>\nFinal Answer: 662"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -317 ÷ 641"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -317 by 641. -317 ÷ 641 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 608 km apart. Their speeds are 48 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 48+43=91 km/h. Time = 608/91 = 6.6813 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 662 km apart. Their speeds are 53 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+84=137 km/h. Time = 662/137 = 4.8321 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 45 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+45) × 17 = 578.0.\n</reasoning>\nFinal Answer: 578.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 106 + -891"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 106 and -891: 106 + -891 = -785.\n</reasoning>\nFinal Answer: -785"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:4 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/4, so B = A × (4/16) = 88 × 4/16 = 22.0.\n</reasoning>\nFinal Answer: 22.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 122 km/h. How far does it travel in 5 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 15/60 = 5.2500 hours. Distance = speed × time = 122 × 5.2500 = 640.5 km.\n</reasoning>\nFinal Answer: 640.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 24 = 267"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 9x = 243. Divide by 9: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:11 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/11, so B = A × (11/47) = 29 × 11/47 = 6.7872.\n</reasoning>\nFinal Answer: 6.7872"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 61 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 61 × 61 = 1860.5.\n</reasoning>\nFinal Answer: 1860.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 7, 9, 10, 14, 16, 19] and B = [2, 5, 8, 10, 12, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 19].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -177 ÷ 828"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -177 by 828. -177 ÷ 828 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13353 at 10% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13353 × 10 × 10 / 100 = 13353.0.\n</reasoning>\nFinal Answer: 13353.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/6 + 10/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/6 + 10/15. Common denominator = 3. Result = 7/3.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 641 mod 708"
},
{
"role": "assistant",
"content": "<reasoning>\n641 mod 708: 641 = 708 × 0 + 641, so remainder = 641.\n</reasoning>\nFinal Answer: 641"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 13 = -112"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 5x = -125. Divide by 5: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 661 × -886"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 661 by -886: 661 × -886 = -585646.\n</reasoning>\nFinal Answer: -585646"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 78 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 78 × 63 = 4914.\n</reasoning>\nFinal Answer: 4914"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 29 = 89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 3x = 60. Divide by 3: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "259 is what percentage of 654?"
},
{
"role": "assistant",
"content": "<reasoning>\n(259/654) × 100 = 39.6024%.\n</reasoning>\nFinal Answer: 39.6024%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 + 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/14 + 5/17. Common denominator = 119. Result = 86/119.\n</reasoning>\nFinal Answer: 86/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/11 / 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/11) ÷ (6/14) = (11/11) × (14/6) = 7/3.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "22 is what percentage of 97?"
},
{
"role": "assistant",
"content": "<reasoning>\n(22/97) × 100 = 22.6804%.\n</reasoning>\nFinal Answer: 22.6804%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -358 mod 2"
},
{
"role": "assistant",
"content": "<reasoning>\n-358 mod 2: -358 = 2 × -179 + 0, so remainder = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
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