messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 26:3 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/3, so B = A × (3/26) = 61 × 3/26 = 7.0385.\n</reasoning>\nFinal Answer: 7.0385"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 8, 9, 12, 18] and B = [2, 5, 8, 10, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 9, 12].\n</reasoning>\nFinal Answer: [6, 9, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [85, 34, 57, 53, 36, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 295/6 = 49.1667.\n</reasoning>\nFinal Answer: 49.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:7 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/7, so B = A × (7/19) = 100 × 7/19 = 36.8421.\n</reasoning>\nFinal Answer: 36.8421"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 384 + -449"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 384 and -449: 384 + -449 = -65.\n</reasoning>\nFinal Answer: -65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 72 mod -198"
},
{
"role": "assistant",
"content": "<reasoning>\n72 mod -198: 72 = -198 × -1 + -126, so remainder = -126.\n</reasoning>\nFinal Answer: -126"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 24 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 24 = 168 worker-days. New time = 168 / 5 = 33.6 days.\n</reasoning>\nFinal Answer: 33.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 797 ÷ -258"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 797 by -258. 797 ÷ -258 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 + 20/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/18 + 20/3. Common denominator = 9. Result = 70/9.\n</reasoning>\nFinal Answer: 70/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 80, 96, 96, 93, 62, 74, 69, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 80: 1, 96: 2, 93: 1, 62: 1, 74: 1, 69: 1, 86: 1}. Most frequent: 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 208 × -223"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 208 by -223: 208 × -223 = -46384.\n</reasoning>\nFinal Answer: -46384"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 100 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 100 × 1 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:47 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/47, so B = A × (47/50) = 72 × 47/50 = 67.68.\n</reasoning>\nFinal Answer: 67.68"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 16, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (18-1)×16 = 38 + 272 = 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹3604. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3604 × 12/100 = 432.48. Total = 3604 + 432.48 = 4036.48.\n</reasoning>\nFinal Answer: 4036.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1132. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1132 × 18/100 = 203.76. Total = 1132 + 203.76 = 1335.76.\n</reasoning>\nFinal Answer: 1335.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -46 = 434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 15x = 480. Divide by 15: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:27 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/27, so B = A × (27/37) = 25 × 27/37 = 18.2432.\n</reasoning>\nFinal Answer: 18.2432"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -436 + -249"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -436 and -249: -436 + -249 = -685.\n</reasoning>\nFinal Answer: -685"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 11 * 46 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×46=506, then 42+506-27=521.\n</reasoning>\nFinal Answer: 521"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 32 * 15 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×15=480, then 11+480-28=463.\n</reasoning>\nFinal Answer: 463"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 50 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+50) × 11 = 522.5.\n</reasoning>\nFinal Answer: 522.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 45 = 1033"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 26x = 988. Divide by 26: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:16 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/16, so B = A × (16/16) = 43 × 16/16 = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3120. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3120 × 18/100 = 561.6. Total = 3120 + 561.6 = 3681.6.\n</reasoning>\nFinal Answer: 3681.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 994 km apart. Their speeds are 75 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 75+48=123 km/h. Time = 994/123 = 8.0813 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -8 = -1072"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 28x = -1064. Divide by 28: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 656 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 656 × (1 + 12/100) = 656 × 1.12 = 734.72.\n</reasoning>\nFinal Answer: 734.72"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/2 * 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/2) × (5/11) = (100/22) = 50/11 after simplification.\n</reasoning>\nFinal Answer: 50/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "156 is what percentage of 230?"
},
{
"role": "assistant",
"content": "<reasoning>\n(156/230) × 100 = 67.8261%.\n</reasoning>\nFinal Answer: 67.8261%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 20, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (41-1)×20 = 8 + 800 = 808.\n</reasoning>\nFinal Answer: 808"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -38 = 466"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 14x = 504. Divide by 14: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 30) * (31 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+30)=44, (31-47)=-16, then 44×-16=-704.\n</reasoning>\nFinal Answer: -704"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 7, 91, 96, 52, 78, 78, 41, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 41, 52, 59, 78, 78, 82, 91, 96]. Middle value(s) → median = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 40 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+40) × 5 = 125.0.\n</reasoning>\nFinal Answer: 125.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 19 = -926"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 21x = -945. Divide by 21: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 365 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 365 × (1 + 7/100) = 365 × 1.07 = 390.55.\n</reasoning>\nFinal Answer: 390.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 961 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 961 × (1 - 20/100) = 961 × 0.8 = 768.8.\n</reasoning>\nFinal Answer: 768.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 38 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(38,9) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 7, 8, 9, 11, 13, 16] and B = [1, 8, 13, 15, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 6, 7, 9, 11, 16].\n</reasoning>\nFinal Answer: [5, 6, 7, 9, 11, 16]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-28)x + (-72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -28² - 4×4×-72 = 1936. √discriminant = 44. x = (-(-28) ± 44) / (2×4). Solutions: x = -2 or x = 9.\n</reasoning>\nFinal Answer: x = -2 or x = 9... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:25 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/25, so B = A × (25/3) = 97 × 25/3 = 808.3333.\n</reasoning>\nFinal Answer: 808.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 45 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 3+2025-31=1997.\n</reasoning>\nFinal Answer: 1997"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 41 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+41) × 11 = 313.5.\n</reasoning>\nFinal Answer: 313.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 20 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 20 × 35 = 700.\n</reasoning>\nFinal Answer: 700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 285 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 285 × (1 - 25/100) = 285 × 0.75 = 213.75.\n</reasoning>\nFinal Answer: 213.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 43 + 39 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×43=344 and 39×20=780, then add: 1124.\n</reasoning>\nFinal Answer: 1124"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/6 - 4/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/6 - 4/4. LCD = 6. Result = 11/6.\n</reasoning>\nFinal Answer: 11/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -552 - -941"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -941 from -552: -552 - -941 = 389.\n</reasoning>\nFinal Answer: 389"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/3 / 19/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/3) ÷ (19/12) = (17/3) × (12/19) = 68/19.\n</reasoning>\nFinal Answer: 68/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 15 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+15) × 43 = 967.5.\n</reasoning>\nFinal Answer: 967.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 641 × 916"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 641 by 916: 641 × 916 = 587156.\n</reasoning>\nFinal Answer: 587156"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37001 at 4% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37001 × 4 × 3 / 100 = 4440.12.\n</reasoning>\nFinal Answer: 4440.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 80, 24, 89, 42, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 42, 46, 80, 89, 97]. Middle value(s) → median = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 35 = -23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 2x = -58. Divide by 2: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48831 at 2% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48831 × 2 × 5 / 100 = 4883.1.\n</reasoning>\nFinal Answer: 4883.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [64, 29, 61, 99, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {64: 1, 29: 1, 61: 1, 99: 1, 74: 1}. Most frequent: [64, 29, 61, 99, 74].\n</reasoning>\nFinal Answer: [64, 29, 61, 99, 74]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 8, 10, 11, 14, 16] and B = [4, 6, 7, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 6, 7, 8, 10, 11, 14, 16, 17].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -267 ÷ 413"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -267 by 413. -267 ÷ 413 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 23 + 11 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×23=253 and 11×1=11, then add: 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 18 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 33+324-43=314.\n</reasoning>\nFinal Answer: 314"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 1, 50, 81, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 11, 41, 50, 81]. Middle value(s) → median = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:2 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/2, so B = A × (2/15) = 23 × 2/15 = 3.0667.\n</reasoning>\nFinal Answer: 3.0667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/3 / 11/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/3) ÷ (11/14) = (8/3) × (14/11) = 112/33.\n</reasoning>\nFinal Answer: 112/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -207 - -492"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -492 from -207: -207 - -492 = 285.\n</reasoning>\nFinal Answer: 285"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [68, 65, 13, 64, 64, 21, 90, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 21, 64, 64, 65, 68, 90, 90]. Middle value(s) → median = 64.5.\n</reasoning>\nFinal Answer: 64.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 572 + -727"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 572 and -727: 572 + -727 = -155.\n</reasoning>\nFinal Answer: -155"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 437 × -389"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 437 by -389: 437 × -389 = -169993.\n</reasoning>\nFinal Answer: -169993"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 804 + -629"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 804 and -629: 804 + -629 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -35 = -442"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 11x = -407. Divide by 11: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -588 ÷ -378"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -588 by -378. -588 ÷ -378 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47782 at 14% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47782 × 14 × 7 / 100 = 46826.36.\n</reasoning>\nFinal Answer: 46826.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 56, 93, 9, 27, 82, 77, 1, 50, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 9, 27, 42, 50, 56, 77, 82, 93, 93]. Middle value(s) → median = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 42 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 42 × 99 = 4158.\n</reasoning>\nFinal Answer: 4158"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [23, 33, 43, 53, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 23 and common difference 10. Next term = 63 + 10 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 38 = -664"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 26x = -702. Divide by 26: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -198 × -890"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -198 by -890: -198 × -890 = 176220.\n</reasoning>\nFinal Answer: 176220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -45 = 150"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 13x = 195. Divide by 13: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 13, 14, 18] and B = [4, 11, 12, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 6, 11, 12, 13, 14, 18, 19].\n</reasoning>\nFinal Answer: [2, 4, 6, 11, 12, 13, 14, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 22, 94, 70, 43, 86, 74, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 1, 22: 1, 94: 1, 70: 1, 43: 1, 86: 1, 74: 1, 96: 1}. Most frequent: [73, 22, 94, 70, 43, 86, 74, 96].\n</reasoning>\nFinal Answer: [73, 22,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [73, 45, 49, 86, 73, 16, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 35, 45, 49, 73, 73, 86]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 33 + 20 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×33=66 and 20×41=820, then add: 886.\n</reasoning>\nFinal Answer: 886"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 401 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 401 × (1 + 45/100) = 401 × 1.45 = 581.45.\n</reasoning>\nFinal Answer: 581.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 124 km/h. How far does it travel in 9 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 2/60 = 9.0333 hours. Distance = speed × time = 124 × 9.0333 = 1120.1333 km.\n</reasoning>\nFinal Answer: 1120.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:5 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/5, so B = A × (5/38) = 34 × 5/38 = 4.4737.\n</reasoning>\nFinal Answer: 4.4737"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 23, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 23 + 33 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹849. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 849 × 12/100 = 101.88. Total = 849 + 101.88 = 950.88.\n</reasoning>\nFinal Answer: 950.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/14 * 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/14) × (12/12) = (48/168) = 2/7 after simplification.\n</reasoning>\nFinal Answer: 2/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 8, 15, 17] and B = [5, 7, 10, 13, 14], 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, 10, 13, 14, 15, 17].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -20 = 734"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 26x = 754. Divide by 26: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 617 ÷ -165"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 617 by -165. 617 ÷ -165 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -973 - -152"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -152 from -973: -973 - -152 = -821.\n</reasoning>\nFinal Answer: -821"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 7 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 25+49-24=50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 87 km/h. How far does it travel in 5 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 16/60 = 5.2667 hours. Distance = speed × time = 87 × 5.2667 = 458.2 km.\n</reasoning>\nFinal Answer: 458.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 8, 11, 13, 15, 16] and B = [1, 5, 8, 9, 10, 13, 15, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 7, 8, 9, 10, 11, 13, 15, 16, 17].\n</reasoning>\nFinal Answer... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 3/3 / 20/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/3) ÷ (20/3) = (3/3) × (3/20) = 3/20.\n</reasoning>\nFinal Answer: 3/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 39) * (47 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+39)=58, (47-29)=18, then 58×18=1044.\n</reasoning>\nFinal Answer: 1044"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 40 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 38+1600-37=1601.\n</reasoning>\nFinal Answer: 1601"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 473 - 232"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 232 from 473: 473 - 232 = 241.\n</reasoning>\nFinal Answer: 241"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -815 ÷ -761"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -815 by -761. -815 ÷ -761 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
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