messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 17x + 19 = -644"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 17x = -663. Divide by 17: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -44 = -74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 3x = -30. Divide by 3: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [7, 24, 41, 58, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 7 and common difference 17. Next term = 75 + 17 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 16 * 49 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×49=784, then 40+784-28=796.\n</reasoning>\nFinal Answer: 796"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 34 + -764"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 34 and -764: 34 + -764 = -730.\n</reasoning>\nFinal Answer: -730"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22229 at 15% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22229 × 15 × 7 / 100 = 23340.45.\n</reasoning>\nFinal Answer: 23340.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 16 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (16×14)/2 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:2 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/2, so B = A × (2/12) = 98 × 2/12 = 16.3333.\n</reasoning>\nFinal Answer: 16.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 11, 13] and B = [1, 2, 9, 13, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 9, 11, 13, 18].\n</reasoning>\nFinal Answer: [1, 2, 9, 11, 13, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 15 = 593"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 17x = 578. Divide by 17: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 23 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 24+529-6=547.\n</reasoning>\nFinal Answer: 547"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 60 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(60+10) = 2×70 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 15, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (29-1)×15 = 18 + 420 = 438.\n</reasoning>\nFinal Answer: 438"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×9)/1 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 182 apples and buys 130 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 182 + 130 = 312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 50 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+50) × 49 = 1690.5.\n</reasoning>\nFinal Answer: 1690.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 57, 7, 83, 99, 4, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 352/7 = 50.2857.\n</reasoning>\nFinal Answer: 50.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -969 ÷ 727"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -969 by 727. -969 ÷ 727 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 675 - -317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -317 from 675: 675 - -317 = 992.\n</reasoning>\nFinal Answer: 992"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 53 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 53 × 26 = 689.0.\n</reasoning>\nFinal Answer: 689.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "186 is what percentage of 858?"
},
{
"role": "assistant",
"content": "<reasoning>\n(186/858) × 100 = 21.6783%.\n</reasoning>\nFinal Answer: 21.6783%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 565 - -991"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -991 from 565: 565 - -991 = 1556.\n</reasoning>\nFinal Answer: 1556"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 11, 15, 17] and B = [1, 5, 8, 11, 12, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 5, 7, 8, 12, 15, 16, 17].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 41 = 461"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 10x = 420. Divide by 10: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-2)x + (-144) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -2² - 4×2×-144 = 1156. √discriminant = 34. x = (-(-2) ± 34) / (2×2). Solutions: x = -8 or x = 9.\n</reasoning>\nFinal Answer: x = -8 or x = 9"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -45 - 908"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 908 from -45: -45 - 908 = -953.\n</reasoning>\nFinal Answer: -953"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹627. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 627 × 18/100 = 112.86. Total = 627 + 112.86 = 739.86.\n</reasoning>\nFinal Answer: 739.86"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22120 at 5% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22120 × 5 × 3 / 100 = 3318.0.\n</reasoning>\nFinal Answer: 3318.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44524 at 6% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44524 × 6 × 10 / 100 = 26714.4.\n</reasoning>\nFinal Answer: 26714.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 24) * (23 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+24)=54, (23-3)=20, then 54×20=1080.\n</reasoning>\nFinal Answer: 1080"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 48 = -832"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 20x = -880. Divide by 20: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/12 + 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/12 + 13/1. Common denominator = 2. Result = 27/2.\n</reasoning>\nFinal Answer: 27/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -55 mod 598"
},
{
"role": "assistant",
"content": "<reasoning>\n-55 mod 598: -55 = 598 × -1 + 543, so remainder = 543.\n</reasoning>\nFinal Answer: 543"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 - 13/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/17 - 13/5. LCD = 85. Result = -131/85.\n</reasoning>\nFinal Answer: -131/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46522 at 9% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46522 × 9 × 8 / 100 = 33495.84.\n</reasoning>\nFinal Answer: 33495.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4543. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4543 × 12/100 = 545.16. Total = 4543 + 545.16 = 5088.16.\n</reasoning>\nFinal Answer: 5088.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "68 is what percentage of 237?"
},
{
"role": "assistant",
"content": "<reasoning>\n(68/237) × 100 = 28.692%.\n</reasoning>\nFinal Answer: 28.692%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -8 = -708"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 14x = -700. Divide by 14: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "75 is what percentage of 227?"
},
{
"role": "assistant",
"content": "<reasoning>\n(75/227) × 100 = 33.0396%.\n</reasoning>\nFinal Answer: 33.0396%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 313 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 313 × (1 - 12/100) = 313 × 0.88 = 275.44.\n</reasoning>\nFinal Answer: 275.44"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [12, 24, 36, 48, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 12 and common difference 12. Next term = 60 + 12 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -35 = -219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 8x = -184. Divide by 8: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×7)/1 = 217.\n</reasoning>\nFinal Answer: 217"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 18 * 38 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×38=684, then 50+684-39=695.\n</reasoning>\nFinal Answer: 695"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 790 - 165"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 165 from 790: 790 - 165 = 625.\n</reasoning>\nFinal Answer: 625"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 130 apples and buys 10 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 130 + 10 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 318 mod 172"
},
{
"role": "assistant",
"content": "<reasoning>\n318 mod 172: 318 = 172 × 1 + 146, so remainder = 146.\n</reasoning>\nFinal Answer: 146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -14 = -410"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 18x = -396. Divide by 18: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/3 + 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/3 + 2/7. Common denominator = 7. Result = 30/7.\n</reasoning>\nFinal Answer: 30/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [9, 5, 47, 98, 31, 79, 53, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {9: 1, 5: 1, 47: 1, 98: 1, 31: 1, 79: 1, 53: 1, 100: 1}. Most frequent: [9, 5, 47, 98, 31, 79, 53, 100].\n</reasoning>\nFinal Answer: [9, 5, 47, ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 12 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+12) × 13 = 201.5.\n</reasoning>\nFinal Answer: 201.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 + 4/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/19 + 4/7. Common denominator = 133. Result = 125/133.\n</reasoning>\nFinal Answer: 125/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 176 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 176 × (1 + 35/100) = 176 × 1.35 = 237.6.\n</reasoning>\nFinal Answer: 237.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 38 + 41 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×38=1862 and 41×41=1681, then add: 3543.\n</reasoning>\nFinal Answer: 3543"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 16 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 16 × 56 = 448.0.\n</reasoning>\nFinal Answer: 448.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 67, 52, 91, 3, 83, 3, 66, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 1 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹1255. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1255 × 5/100 = 62.75. Total = 1255 + 62.75 = 1317.75.\n</reasoning>\nFinal Answer: 1317.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 33 = 385"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 16x = 352. Divide by 16: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 780 ÷ 667"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 780 by 667. 780 ÷ 667 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -366 mod 152"
},
{
"role": "assistant",
"content": "<reasoning>\n-366 mod 152: -366 = 152 × -3 + 90, so remainder = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 44, 28 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (44+28) × 5 = 180.0.\n</reasoning>\nFinal Answer: 180.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:22 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/22, so B = A × (22/10) = 66 × 22/10 = 145.2.\n</reasoning>\nFinal Answer: 145.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 848 ÷ -692"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 848 by -692. 848 ÷ -692 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 514 mod 822"
},
{
"role": "assistant",
"content": "<reasoning>\n514 mod 822: 514 = 822 × 0 + 514, so remainder = 514.\n</reasoning>\nFinal Answer: 514"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 21 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (21×21)/21 = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 389 + -111"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 389 and -111: 389 + -111 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 23, 18, 7, 58, 66, 77, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 18, 23, 44, 58, 66, 77, 84]. Middle value(s) → median = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 37 + 31 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×37=629 and 31×48=1488, then add: 2117.\n</reasoning>\nFinal Answer: 2117"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 2, 85, 15, 29, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 15, 29, 50, 85, 94]. Middle value(s) → median = 39.5.\n</reasoning>\nFinal Answer: 39.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 397 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 397 × (1 + 65/100) = 397 × 1.65 = 655.05.\n</reasoning>\nFinal Answer: 655.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 281 ÷ -680"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 281 by -680. 281 ÷ -680 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 15, 60, 31, 43, 94, 84, 55, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 26, 31, 43, 55, 60, 66, 84, 94]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 3 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 3 × 33 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹2299. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2299 × 18/100 = 413.82. Total = 2299 + 413.82 = 2712.82.\n</reasoning>\nFinal Answer: 2712.82"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 48 * 25 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×25=1200, then 27+1200-12=1215.\n</reasoning>\nFinal Answer: 1215"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 * 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/5) × (3/14) = (6/70) = 3/35 after simplification.\n</reasoning>\nFinal Answer: 3/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 19 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from 19: 19 - 42 = -23.\n</reasoning>\nFinal Answer: -23"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -5 + -70"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -5 and -70: -5 + -70 = -75.\n</reasoning>\nFinal Answer: -75"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 124 km/h. How far does it travel in 5 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 18/60 = 5.3000 hours. Distance = speed × time = 124 × 5.3000 = 657.2 km.\n</reasoning>\nFinal Answer: 657.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [49, 54, 74, 17, 7, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 74 - 7 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 269 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 269 × (1 - 100/100) = 269 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 1 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 1 × 29 = 14.5.\n</reasoning>\nFinal Answer: 14.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 20 = -92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 4x = -112. Divide by 4: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 941 × 319"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 941 by 319: 941 × 319 = 300179.\n</reasoning>\nFinal Answer: 300179"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 59 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(59+23) = 2×82 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [40, 11, 95, 53, 68, 99, 94, 81, 46, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 652/10 = 65.2.\n</reasoning>\nFinal Answer: 65.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 17 = -515"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 19x = -532. Divide by 19: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30437 at 20% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30437 × 20 × 3 / 100 = 18262.2.\n</reasoning>\nFinal Answer: 18262.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 / 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/14) ÷ (10/19) = (2/14) × (19/10) = 19/70.\n</reasoning>\nFinal Answer: 19/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 138 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(138,18) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 91 + -55"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 91 and -55: 91 + -55 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 159 apples and buys 89 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 159 + 89 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 62 km/h. How far does it travel in 11 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 37/60 = 11.6167 hours. Distance = speed × time = 62 × 11.6167 = 720.2333 km.\n</reasoning>\nFinal Answer: 720.2333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [2, 42, 66, 51, 6, 77, 87, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 2 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 800 km apart. Their speeds are 76 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+86=162 km/h. Time = 800/162 = 4.9383 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3125. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3125 × 12/100 = 375.0. Total = 3125 + 375.0 = 3500.0.\n</reasoning>\nFinal Answer: 3500.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 27 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 27 = 486 worker-days. New time = 486 / 10 = 48.6 days.\n</reasoning>\nFinal Answer: 48.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 56 km/h. How far does it travel in 7 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 59/60 = 7.9833 hours. Distance = speed × time = 56 × 7.9833 = 447.0667 km.\n</reasoning>\nFinal Answer: 447.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 278 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 278 × (1 - 50/100) = 278 × 0.5 = 139.0.\n</reasoning>\nFinal Answer: 139.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:31 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/31, so B = A × (31/26) = 45 × 31/26 = 53.6538.\n</reasoning>\nFinal Answer: 53.6538"
}
] | medium | [
"ratio",
"proportion"
] |
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