messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 724 - 216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 216 from 724: 724 - 216 = 508.\n</reasoning>\nFinal Answer: 508"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12082 at 7% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12082 × 7 × 4 / 100 = 3382.96.\n</reasoning>\nFinal Answer: 3382.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 21, 36, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 21 + 36 + 39 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [96, 23, 22, 74, 22, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 22 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 700 mod -11"
},
{
"role": "assistant",
"content": "<reasoning>\n700 mod -11: 700 = -11 × -64 + -4, so remainder = -4.\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -37 = 467"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 28x = 504. Divide by 28: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/13 + 7/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/13 + 7/4. Common denominator = 52. Result = 159/52.\n</reasoning>\nFinal Answer: 159/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 20 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+20) × 31 = 1038.5.\n</reasoning>\nFinal Answer: 1038.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹237. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 237 × 12/100 = 28.44. Total = 237 + 28.44 = 265.44.\n</reasoning>\nFinal Answer: 265.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 773 + -486"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 773 and -486: 773 + -486 = 287.\n</reasoning>\nFinal Answer: 287"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 + 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/10 + 15/13. Common denominator = 130. Result = 163/130.\n</reasoning>\nFinal Answer: 163/130"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -585 - -808"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -808 from -585: -585 - -808 = 223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 27) * (24 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+27)=36, (24-3)=21, then 36×21=756.\n</reasoning>\nFinal Answer: 756"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 121 km/h. How far does it travel in 7 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 23/60 = 7.3833 hours. Distance = speed × time = 121 × 7.3833 = 893.3833 km.\n</reasoning>\nFinal Answer: 893.3833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:19 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/19, so B = A × (19/19) = 82 × 19/19 = 82.0.\n</reasoning>\nFinal Answer: 82.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 17 = -60"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 11x = -77. Divide by 11: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 19) * (37 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+19)=27, (37-44)=-7, then 27×-7=-189.\n</reasoning>\nFinal Answer: -189"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 111 apples and buys 17 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 111 + 17 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 54 ÷ 816"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 54 by 816. 54 ÷ 816 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 297 mod 542"
},
{
"role": "assistant",
"content": "<reasoning>\n297 mod 542: 297 = 542 × 0 + 297, so remainder = 297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 21) * (40 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+21)=34, (40-4)=36, then 34×36=1224.\n</reasoning>\nFinal Answer: 1224"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 8] and B = [2, 3, 5, 7, 10], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 6, 8].\n</reasoning>\nFinal Answer: [1, 6, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "723 is what percentage of 982?"
},
{
"role": "assistant",
"content": "<reasoning>\n(723/982) × 100 = 73.6253%.\n</reasoning>\nFinal Answer: 73.6253%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -153 mod 599"
},
{
"role": "assistant",
"content": "<reasoning>\n-153 mod 599: -153 = 599 × -1 + 446, so remainder = 446.\n</reasoning>\nFinal Answer: 446"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 31) * (48 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+31)=64, (48-22)=26, then 64×26=1664.\n</reasoning>\nFinal Answer: 1664"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 545 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 545 × (1 + 12/100) = 545 × 1.12 = 610.4.\n</reasoning>\nFinal Answer: 610.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 43) * (27 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+43)=89, (27-48)=-21, then 89×-21=-1869.\n</reasoning>\nFinal Answer: -1869"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 10, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (31-1)×10 = 27 + 300 = 327.\n</reasoning>\nFinal Answer: 327"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 499 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 499 × (1 - 12/100) = 499 × 0.88 = 439.12.\n</reasoning>\nFinal Answer: 439.12"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 9) * (34 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+9)=15, (34-10)=24, then 15×24=360.\n</reasoning>\nFinal Answer: 360"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 62 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 62 × 86 = 2666.0.\n</reasoning>\nFinal Answer: 2666.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/3 - 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/3 - 17/13. LCD = 39. Result = 131/39.\n</reasoning>\nFinal Answer: 131/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4616. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4616 × 18/100 = 830.88. Total = 4616 + 830.88 = 5446.88.\n</reasoning>\nFinal Answer: 5446.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 31 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 37+961-26=972.\n</reasoning>\nFinal Answer: 972"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 650 km apart. Their speeds are 54 km/h and 90 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+90=144 km/h. Time = 650/144 = 4.5139 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -41 = -593"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 23x = -552. Divide by 23: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 50 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 50 × (1 + 45/100) = 50 × 1.45 = 72.5.\n</reasoning>\nFinal Answer: 72.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 146 and 176."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(146,176) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 200 km/h. How far does it travel in 9 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 45/60 = 9.7500 hours. Distance = speed × time = 200 × 9.7500 = 1950.0 km.\n</reasoning>\nFinal Answer: 1950.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -9 mod -863"
},
{
"role": "assistant",
"content": "<reasoning>\n-9 mod -863: -9 = -863 × 0 + -9, so remainder = -9.\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 40 = 130"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 6x = 90. Divide by 6: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 414 ÷ -999"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 414 by -999. 414 ÷ -999 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 3, 28, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 3 + 28 + 30 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 54 × -51"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 54 by -51: 54 × -51 = -2754.\n</reasoning>\nFinal Answer: -2754"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -12 = -462"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 25x = -450. Divide by 25: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 32 and 161."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(32,161) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 480 ÷ 273"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 480 by 273. 480 ÷ 273 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 17 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+17) × 47 = 1245.5.\n</reasoning>\nFinal Answer: 1245.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -145 mod 25"
},
{
"role": "assistant",
"content": "<reasoning>\n-145 mod 25: -145 = 25 × -6 + 5, so remainder = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [90, 65, 42, 54, 11, 42, 21, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 360/8 = 45.0.\n</reasoning>\nFinal Answer: 45.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹1575. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1575 × 28/100 = 441.0. Total = 1575 + 441.0 = 2016.0.\n</reasoning>\nFinal Answer: 2016.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -989 mod -561"
},
{
"role": "assistant",
"content": "<reasoning>\n-989 mod -561: -989 = -561 × 1 + -428, so remainder = -428.\n</reasoning>\nFinal Answer: -428"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 862 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 862 × (1 - 70/100) = 862 × 0.30000000000000004 = 258.6.\n</reasoning>\nFinal Answer: 258.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/11 + 1/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/11 + 1/4. Common denominator = 44. Result = 47/44.\n</reasoning>\nFinal Answer: 47/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 61 and 165."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(61,165) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -572 + 532"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -572 and 532: -572 + 532 = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 430 ÷ -572"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 430 by -572. 430 ÷ -572 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 11, 13] and B = [1, 5, 6, 7, 9, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 11, 13].\n</reasoning>\nFinal Answer: [2, 11, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 6, 14, 15] and B = [1, 2, 4, 6, 8, 13, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 14, 15].\n</reasoning>\nFinal Answer: [3, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 226 km apart. Their speeds are 114 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+50=164 km/h. Time = 226/164 = 1.378 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -452 mod 712"
},
{
"role": "assistant",
"content": "<reasoning>\n-452 mod 712: -452 = 712 × -1 + 260, so remainder = 260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -13 = -181"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 7x = -168. Divide by 7: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 29 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 25+841-10=856.\n</reasoning>\nFinal Answer: 856"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 29 + 22 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×29=87 and 22×27=594, then add: 681.\n</reasoning>\nFinal Answer: 681"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:37 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/37, so B = A × (37/8) = 72 × 37/8 = 333.0.\n</reasoning>\nFinal Answer: 333.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 33 apples and buys 2 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 33 + 2 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 6, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (18-1)×6 = 7 + 102 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 46 km/h. How far does it travel in 7 hours and 8 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 8/60 = 7.1333 hours. Distance = speed × time = 46 × 7.1333 = 328.1333 km.\n</reasoning>\nFinal Answer: 328.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2845. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2845 × 18/100 = 512.1. Total = 2845 + 512.1 = 3357.1.\n</reasoning>\nFinal Answer: 3357.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 15 * 35 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×35=525, then 21+525-4=542.\n</reasoning>\nFinal Answer: 542"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 34 + 35 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×34=408 and 35×23=805, then add: 1213.\n</reasoning>\nFinal Answer: 1213"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 31 * 6 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×6=186, then 38+186-36=188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [7, 79, 96, 65, 13, 37, 72, 6, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 6 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 13 = -131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 3x = -144. Divide by 3: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 29 = 188.5.\n</reasoning>\nFinal Answer: 188.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 104 and 81."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(104,81) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:18 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/18, so B = A × (18/35) = 45 × 18/35 = 23.1429.\n</reasoning>\nFinal Answer: 23.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×10)/1 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mode of: [68, 77, 78, 55, 7, 93, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {68: 1, 77: 1, 78: 1, 55: 1, 7: 1, 93: 1, 46: 1}. Most frequent: [68, 77, 78, 55, 7, 93, 46].\n</reasoning>\nFinal Answer: [68, 77, 78, 55, 7, 93, 46... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 6 = -488"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 19x = -494. Divide by 19: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [6, 18, 83, 35, 61, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 6 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 11) * (25 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+11)=40, (25-40)=-15, then 40×-15=-600.\n</reasoning>\nFinal Answer: -600"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4545. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4545 × 28/100 = 1272.6. Total = 4545 + 1272.6 = 5817.6.\n</reasoning>\nFinal Answer: 5817.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -39 = 661"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 25x = 700. Divide by 25: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 40% of 594?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 594 = (40/100) × 594 = 237.6.\n</reasoning>\nFinal Answer: 237.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 185 apples and buys 120 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 185 + 120 = 305.\n</reasoning>\nFinal Answer: 305"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:25 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/25, so B = A × (25/44) = 97 × 25/44 = 55.1136.\n</reasoning>\nFinal Answer: 55.1136"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -751 × -59"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -751 by -59: -751 × -59 = 44309.\n</reasoning>\nFinal Answer: 44309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:9 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/9, so B = A × (9/40) = 5 × 9/40 = 1.125.\n</reasoning>\nFinal Answer: 1.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 79, 62, 52, 100, 35, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 35 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 30 and height 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 30 × 81 = 2430.\n</reasoning>\nFinal Answer: 2430"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:13 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/13, so B = A × (13/41) = 11 × 13/41 = 3.4878.\n</reasoning>\nFinal Answer: 3.4878"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 499 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 499 × (1 - 10/100) = 499 × 0.9 = 449.1.\n</reasoning>\nFinal Answer: 449.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 24 * 32 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×32=768, then 50+768-12=806.\n</reasoning>\nFinal Answer: 806"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 78 and width 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 78 × 34 = 2652.\n</reasoning>\nFinal Answer: 2652"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 813 km apart. Their speeds are 47 km/h and 81 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 47+81=128 km/h. Time = 813/128 = 6.3516 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -35 = -701"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 18x = -666. Divide by 18: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 606 ÷ 617"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 606 by 617. 606 ÷ 617 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 31 = -17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 2x = -48. Divide by 2: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 44) * (40 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+44)=69, (40-27)=13, then 69×13=897.\n</reasoning>\nFinal Answer: 897"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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