messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "389 is what percentage of 647?"
},
{
"role": "assistant",
"content": "<reasoning>\n(389/647) × 100 = 60.1236%.\n</reasoning>\nFinal Answer: 60.1236%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "349 is what percentage of 660?"
},
{
"role": "assistant",
"content": "<reasoning>\n(349/660) × 100 = 52.8788%.\n</reasoning>\nFinal Answer: 52.8788%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -237 mod 541"
},
{
"role": "assistant",
"content": "<reasoning>\n-237 mod 541: -237 = 541 × -1 + 304, so remainder = 304.\n</reasoning>\nFinal Answer: 304"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 4, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (45-1)×4 = 19 + 176 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 10/3 + 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/3 + 17/13. Common denominator = 39. Result = 181/39.\n</reasoning>\nFinal Answer: 181/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/1 * 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/1) × (15/17) = (150/17) = 150/17 after simplification.\n</reasoning>\nFinal Answer: 150/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 7% of 764?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 764 = (7/100) × 764 = 53.48.\n</reasoning>\nFinal Answer: 53.48"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 991 + 575"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 991 and 575: 991 + 575 = 1566.\n</reasoning>\nFinal Answer: 1566"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 - 7/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/15 - 7/11. LCD = 165. Result = 71/165.\n</reasoning>\nFinal Answer: 71/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 35% of 586?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 586 = (35/100) × 586 = 205.1.\n</reasoning>\nFinal Answer: 205.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/13 * 17/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/13) × (17/10) = (102/130) = 51/65 after simplification.\n</reasoning>\nFinal Answer: 51/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/14 / 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/14) ÷ (8/1) = (14/14) × (1/8) = 1/8.\n</reasoning>\nFinal Answer: 1/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -24 = 816"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 24x = 840. Divide by 24: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-6)x + (-80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -6² - 4×2×-80 = 676. √discriminant = 26. x = (-(-6) ± 26) / (2×2). Solutions: x = -5 or x = 8.\n</reasoning>\nFinal Answer: x = -5 or x = 8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 37 = 577"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 27x = 540. Divide by 27: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -46 = -820"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 18x = -774. Divide by 18: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹888. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 888 × 28/100 = 248.64. Total = 888 + 248.64 = 1136.64.\n</reasoning>\nFinal Answer: 1136.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 629 × 863"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 629 by 863: 629 × 863 = 542827.\n</reasoning>\nFinal Answer: 542827"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×12)/1 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -765 × -526"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -765 by -526: -765 × -526 = 402390.\n</reasoning>\nFinal Answer: 402390"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 10% of 281?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 281 = (10/100) × 281 = 28.1.\n</reasoning>\nFinal Answer: 28.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 323 - 322"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 322 from 323: 323 - 322 = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 20 = -1016"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 28x = -1036. Divide by 28: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30968 at 19% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30968 × 19 × 6 / 100 = 35303.52.\n</reasoning>\nFinal Answer: 35303.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [7, 11, 12, 14, 15, 16, 19] and B = [1, 3, 6, 8, 11, 12, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 14, 15, 16].\n</reasoning>\nFinal Answer: [7, 14, 15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -289 × -149"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -289 by -149: -289 × -149 = 43061.\n</reasoning>\nFinal Answer: 43061"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -400 mod -638"
},
{
"role": "assistant",
"content": "<reasoning>\n-400 mod -638: -400 = -638 × 0 + -400, so remainder = -400.\n</reasoning>\nFinal Answer: -400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 811 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 811 × (1 - 17/100) = 811 × 0.83 = 673.13.\n</reasoning>\nFinal Answer: 673.13"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 85 km/h. How far does it travel in 5 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 28/60 = 5.4667 hours. Distance = speed × time = 85 × 5.4667 = 464.6667 km.\n</reasoning>\nFinal Answer: 464.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -255 mod -315"
},
{
"role": "assistant",
"content": "<reasoning>\n-255 mod -315: -255 = -315 × 0 + -255, so remainder = -255.\n</reasoning>\nFinal Answer: -255"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 13, 34, 36, 78, 89, 17, 19, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 1, 13: 1, 34: 1, 36: 1, 78: 1, 89: 1, 17: 1, 19: 1, 22: 1}. Most frequent: [65, 13, 34, 36, 78, 89, 17, 19, 22].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -11 = 241"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 6x = 252. Divide by 6: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 10% of 409?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 409 = (10/100) × 409 = 40.9.\n</reasoning>\nFinal Answer: 40.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -6 = 93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 11x = 99. Divide by 11: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [2, 55, 67, 16, 18, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 2 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -49 = 1101"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 23x = 1150. Divide by 23: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 70% of 993?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 993 = (70/100) × 993 = 695.1.\n</reasoning>\nFinal Answer: 695.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 81, 33, 26, 45, 62, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [26, 28, 33, 45, 62, 81, 98]. Middle value(s) → median = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 783 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 783 × (1 - 65/100) = 783 × 0.35 = 274.05.\n</reasoning>\nFinal Answer: 274.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 654 - 258"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 258 from 654: 654 - 258 = 396.\n</reasoning>\nFinal Answer: 396"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -45 = 1173"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 29x = 1218. Divide by 29: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 6 = -592"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 26x = -598. Divide by 26: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:29 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/29, so B = A × (29/49) = 48 × 29/49 = 28.4082.\n</reasoning>\nFinal Answer: 28.4082"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/20 + 8/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/20 + 8/16. Common denominator = 10. Result = 13/10.\n</reasoning>\nFinal Answer: 13/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 25 = -80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 15x = -105. Divide by 15: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -435 - 248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 248 from -435: -435 - 248 = -683.\n</reasoning>\nFinal Answer: -683"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/4 * 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/4) × (17/14) = (102/56) = 51/28 after simplification.\n</reasoning>\nFinal Answer: 51/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [67, 19, 42, 44, 54, 99, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {67: 1, 19: 1, 42: 1, 44: 1, 54: 1, 99: 1, 100: 1}. Most frequent: [67, 19, 42, 44, 54, 99, 100].\n</reasoning>\nFinal Answer: [67, 19, 42, 44, 54,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 55 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 55 × 82 = 4510.\n</reasoning>\nFinal Answer: 4510"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -667 + 670"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -667 and 670: -667 + 670 = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 15, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (38-1)×15 = 38 + 555 = 593.\n</reasoning>\nFinal Answer: 593"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹2087. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2087 × 12/100 = 250.44. Total = 2087 + 250.44 = 2337.44.\n</reasoning>\nFinal Answer: 2337.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 607 + -818"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 607 and -818: 607 + -818 = -211.\n</reasoning>\nFinal Answer: -211"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 37 + 14 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×37=1628 and 14×39=546, then add: 2174.\n</reasoning>\nFinal Answer: 2174"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:28 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/28, so B = A × (28/12) = 62 × 28/12 = 144.6667.\n</reasoning>\nFinal Answer: 144.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (24)x + (70) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 24² - 4×2×70 = 16. √discriminant = 4. x = (-(24) ± 4) / (2×2). Solutions: x = -5 or x = -7.\n</reasoning>\nFinal Answer: x = -5 or x = -7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×36)/1 = 684.\n</reasoning>\nFinal Answer: 684"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 947 - 394"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 394 from 947: 947 - 394 = 553.\n</reasoning>\nFinal Answer: 553"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 31 + 1 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×31=496 and 1×43=43, then add: 539.\n</reasoning>\nFinal Answer: 539"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 6) * (43 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+6)=46, (43-17)=26, then 46×26=1196.\n</reasoning>\nFinal Answer: 1196"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 13 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (13×14)/1 = 182.\n</reasoning>\nFinal Answer: 182"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -865 × -656"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -865 by -656: -865 × -656 = 567440.\n</reasoning>\nFinal Answer: 567440"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 633 ÷ -912"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 633 by -912. 633 ÷ -912 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25434 at 15% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25434 × 15 × 6 / 100 = 22890.6.\n</reasoning>\nFinal Answer: 22890.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -22 = -92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 14x = -70. Divide by 14: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -42 = -132"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 10x = -90. Divide by 10: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -227 mod -398"
},
{
"role": "assistant",
"content": "<reasoning>\n-227 mod -398: -227 = -398 × 0 + -227, so remainder = -227.\n</reasoning>\nFinal Answer: -227"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 65 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 65 × 26 = 845.0.\n</reasoning>\nFinal Answer: 845.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -32 = 144"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 22x = 176. Divide by 22: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 85 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 85 × 7 = 297.5.\n</reasoning>\nFinal Answer: 297.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 31 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(31+62) = 2×93 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:17 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/17, so B = A × (17/40) = 41 × 17/40 = 17.425.\n</reasoning>\nFinal Answer: 17.425"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 28) * (19 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+28)=61, (19-3)=16, then 61×16=976.\n</reasoning>\nFinal Answer: 976"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 23 = 317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 14x = 294. Divide by 14: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 225 - 849"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 849 from 225: 225 - 849 = -624.\n</reasoning>\nFinal Answer: -624"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 38 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(38+71) = 2×109 = 218.\n</reasoning>\nFinal Answer: 218"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 18 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 46+324-3=367.\n</reasoning>\nFinal Answer: 367"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 35% of 528?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 528 = (35/100) × 528 = 184.8.\n</reasoning>\nFinal Answer: 184.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 / 3/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/9) ÷ (3/3) = (19/9) × (3/3) = 19/9.\n</reasoning>\nFinal Answer: 19/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:46 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/46, so B = A × (46/3) = 29 × 46/3 = 444.6667.\n</reasoning>\nFinal Answer: 444.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -815 ÷ -584"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -815 by -584. -815 ÷ -584 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:22 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/22, so B = A × (22/43) = 50 × 22/43 = 25.5814.\n</reasoning>\nFinal Answer: 25.5814"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 48 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+48) × 27 = 904.5.\n</reasoning>\nFinal Answer: 904.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/12 - 7/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/12 - 7/15. LCD = 30. Result = 11/30.\n</reasoning>\nFinal Answer: 11/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 35 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 35 × 63 = 2205.\n</reasoning>\nFinal Answer: 2205"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -707 × -463"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -707 by -463: -707 × -463 = 327341.\n</reasoning>\nFinal Answer: 327341"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 40 = 684"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 14x = 644. Divide by 14: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 67 apples and buys 181 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 67 + 181 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:33 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/33, so B = A × (33/2) = 40 × 33/2 = 660.0.\n</reasoning>\nFinal Answer: 660.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 691 × 739"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 691 by 739: 691 × 739 = 510649.\n</reasoning>\nFinal Answer: 510649"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "10 is what percentage of 20?"
},
{
"role": "assistant",
"content": "<reasoning>\n(10/20) × 100 = 50.0%.\n</reasoning>\nFinal Answer: 50.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [85, 70, 36, 8, 100, 99, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 36, 64, 70, 85, 99, 100]. Middle value(s) → median = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -901 + -124"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -901 and -124: -901 + -124 = -1025.\n</reasoning>\nFinal Answer: -1025"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -29 = 331"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 8x = 360. Divide by 8: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 23, 15, 40, 3, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 15, 23, 40, 78, 81]. Middle value(s) → median = 31.5.\n</reasoning>\nFinal Answer: 31.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×40)/10 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 38 * 21 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×21=798, then 4+798-12=790.\n</reasoning>\nFinal Answer: 790"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 2 * 43 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×43=86, then 40+86-27=99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 30% of 535?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 535 = (30/100) × 535 = 160.5.\n</reasoning>\nFinal Answer: 160.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "97 is what percentage of 443?"
},
{
"role": "assistant",
"content": "<reasoning>\n(97/443) × 100 = 21.8962%.\n</reasoning>\nFinal Answer: 21.8962%"
}
] | medium | [
"percentage",
"ratio"
] |
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