messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 41:31 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/31, so B = A × (31/41) = 69 × 31/41 = 52.1707.\n</reasoning>\nFinal Answer: 52.1707"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 164 × 151"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 164 by 151: 164 × 151 = 24764.\n</reasoning>\nFinal Answer: 24764"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 * 3/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/5) × (3/3) = (45/15) = 3 after simplification.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 539 + -305"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 539 and -305: 539 + -305 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2274. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2274 × 12/100 = 272.88. Total = 2274 + 272.88 = 2546.88.\n</reasoning>\nFinal Answer: 2546.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 956 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 956 × (1 - 100/100) = 956 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 4 * 16 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×16=64, then 9+64-14=59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 29 + 34 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×29=551 and 34×6=204, then add: 755.\n</reasoning>\nFinal Answer: 755"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -224 × -120"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -224 by -120: -224 × -120 = 26880.\n</reasoning>\nFinal Answer: 26880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 76, 1, 87, 39, 24, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 253/7 = 36.1429.\n</reasoning>\nFinal Answer: 36.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 * 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/9) × (15/2) = (135/18) = 15/2 after simplification.\n</reasoning>\nFinal Answer: 15/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 23 = -229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 9x = -252. Divide by 9: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -49 = 497"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 14x = 546. Divide by 14: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 23 * 3 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×3=69, then 44+69-26=87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 26 = 362"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 7x = 336. Divide by 7: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 198 apples and buys 80 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 198 + 80 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -991 ÷ -682"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -991 by -682. -991 ÷ -682 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 95 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 95 × 43 = 4085.\n</reasoning>\nFinal Answer: 4085"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 8, 13, 18, 19] and B = [2, 7, 9, 12, 13, 14, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 8, 18].\n</reasoning>\nFinal Answer: [4, 6, 8, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 245 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 245 × (1 + 3/100) = 245 × 1.03 = 252.35.\n</reasoning>\nFinal Answer: 252.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 11 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+11) × 43 = 817.0.\n</reasoning>\nFinal Answer: 817.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 - 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/12 - 6/12. LCD = 12. Result = -1/12.\n</reasoning>\nFinal Answer: -1/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [74, 11, 56, 47, 94, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 11 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 3) * (45 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+3)=24, (45-26)=19, then 24×19=456.\n</reasoning>\nFinal Answer: 456"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 43 = 315"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 16x = 272. Divide by 16: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -423 mod 638"
},
{
"role": "assistant",
"content": "<reasoning>\n-423 mod 638: -423 = 638 × -1 + 215, so remainder = 215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 24 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 45+576-21=600.\n</reasoning>\nFinal Answer: 600"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 944 × -861"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 944 by -861: 944 × -861 = -812784.\n</reasoning>\nFinal Answer: -812784"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 92 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 92 × 75 = 6900.\n</reasoning>\nFinal Answer: 6900"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 58, 98, 74, 46, 38, 47, 72, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 604/9 = 67.1111.\n</reasoning>\nFinal Answer: 67.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 33 + 25 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×33=561 and 25×44=1100, then add: 1661.\n</reasoning>\nFinal Answer: 1661"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 73 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 73 × 88 = 6424.\n</reasoning>\nFinal Answer: 6424"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [50, 81, 98, 36, 41, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 313/6 = 52.1667.\n</reasoning>\nFinal Answer: 52.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 346 + 913"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 346 and 913: 346 + 913 = 1259.\n</reasoning>\nFinal Answer: 1259"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 46 + 16 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×46=1242 and 16×42=672, then add: 1914.\n</reasoning>\nFinal Answer: 1914"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -187 ÷ 831"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -187 by 831. -187 ÷ 831 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-18)x + (-48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -18² - 4×3×-48 = 900. √discriminant = 30. x = (-(-18) ± 30) / (2×3). Solutions: x = -2 or x = 8.\n</reasoning>\nFinal Answer: x = -2 or x = 8"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 22 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 22 × 42 = 924.\n</reasoning>\nFinal Answer: 924"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 230 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from 230: 230 - 31 = 199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 32 = 248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 12x = 216. Divide by 12: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/3 * 18/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/3) × (18/5) = (126/15) = 42/5 after simplification.\n</reasoning>\nFinal Answer: 42/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -639 mod -953"
},
{
"role": "assistant",
"content": "<reasoning>\n-639 mod -953: -639 = -953 × 0 + -639, so remainder = -639.\n</reasoning>\nFinal Answer: -639"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [1, 16, 54, 31, 25, 36, 68, 3, 97, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 3, 16, 25, 31, 36, 54, 68, 80, 97]. Middle value(s) → median = 33.5.\n</reasoning>\nFinal Answer: 33.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 669 ÷ 955"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 669 by 955. 669 ÷ 955 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 45 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+45) × 24 = 1080.0.\n</reasoning>\nFinal Answer: 1080.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 10] and B = [1, 5, 8, 15, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10].\n</reasoning>\nFinal Answer: [10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15498 at 6% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15498 × 6 × 3 / 100 = 2789.64.\n</reasoning>\nFinal Answer: 2789.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 36 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+36) × 31 = 713.0.\n</reasoning>\nFinal Answer: 713.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:9 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/9, so B = A × (9/26) = 46 × 9/26 = 15.9231.\n</reasoning>\nFinal Answer: 15.9231"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:27 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/27, so B = A × (27/18) = 1 × 27/18 = 1.5.\n</reasoning>\nFinal Answer: 1.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 48 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 48 × 73 = 1752.0.\n</reasoning>\nFinal Answer: 1752.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/3 / 7/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/3) ÷ (7/5) = (1/3) × (5/7) = 5/21.\n</reasoning>\nFinal Answer: 5/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 81 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 81 × 4 = 324.\n</reasoning>\nFinal Answer: 324"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 982 × -587"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 982 by -587: 982 × -587 = -576434.\n</reasoning>\nFinal Answer: -576434"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 - 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/2 - 18/15. LCD = 5. Result = 19/5.\n</reasoning>\nFinal Answer: 19/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [52, 81, 36, 96, 17, 94, 88, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 516/8 = 64.5.\n</reasoning>\nFinal Answer: 64.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 160 apples and buys 166 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 160 + 166 = 326.\n</reasoning>\nFinal Answer: 326"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 47 = -378"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 25x = -425. Divide by 25: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 7, 8, 9, 10, 18] and B = [11, 14, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4, 5, 7, 8, 9, 10, 18].\n</reasoning>\nFinal Answer: [2, 4, 5, 7, 8, 9, 10, 18... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 11) * (20 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+11)=15, (20-4)=16, then 15×16=240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:38 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/38, so B = A × (38/4) = 31 × 38/4 = 294.5.\n</reasoning>\nFinal Answer: 294.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-21)x + (30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -21² - 4×3×30 = 81. √discriminant = 9. x = (-(-21) ± 9) / (2×3). Solutions: x = 2 or x = 5.\n</reasoning>\nFinal Answer: x = 2 or x = 5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 26 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (26×11)/1 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 113 and 163."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(113,163) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [7, 14, 17, 19] and B = [1, 4, 5, 10], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 14, 17, 19].\n</reasoning>\nFinal Answer: [7, 14, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 59 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 59 × 3 = 177.\n</reasoning>\nFinal Answer: 177"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -184 ÷ 417"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -184 by 417. -184 ÷ 417 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 177 km apart. Their speeds are 49 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+64=113 km/h. Time = 177/113 = 1.5664 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 22 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 22 × 33 = 726.\n</reasoning>\nFinal Answer: 726"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹2455. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2455 × 28/100 = 687.4. Total = 2455 + 687.4 = 3142.4.\n</reasoning>\nFinal Answer: 3142.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 / 17/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/9) ÷ (17/15) = (18/9) × (15/17) = 30/17.\n</reasoning>\nFinal Answer: 30/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 79 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(79+81) = 2×160 = 320.\n</reasoning>\nFinal Answer: 320"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -393 - 317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 317 from -393: -393 - 317 = -710.\n</reasoning>\nFinal Answer: -710"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 1, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (34-1)×1 = 24 + 33 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 13 = -317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 22x = -330. Divide by 22: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -424 - -392"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -392 from -424: -424 - -392 = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:22 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/22, so B = A × (22/7) = 36 × 22/7 = 113.1429.\n</reasoning>\nFinal Answer: 113.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [25, 61, 10, 43, 80, 55, 28, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {25: 1, 61: 1, 10: 1, 43: 1, 80: 1, 55: 1, 28: 1, 73: 1}. Most frequent: [25, 61, 10, 43, 80, 55, 28, 73].\n</reasoning>\nFinal Answer: [25, 61,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹5977 at 18% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 5977 × 18 × 2 / 100 = 2151.72.\n</reasoning>\nFinal Answer: 2151.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/18 / 1/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/18) ÷ (1/10) = (8/18) × (10/1) = 40/9.\n</reasoning>\nFinal Answer: 40/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 9 + 25 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×9=360 and 25×32=800, then add: 1160.\n</reasoning>\nFinal Answer: 1160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 107 km/h. How far does it travel in 7 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 11/60 = 7.1833 hours. Distance = speed × time = 107 × 7.1833 = 768.6167 km.\n</reasoning>\nFinal Answer: 768.6167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 167 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 167 × (1 + 25/100) = 167 × 1.25 = 208.75.\n</reasoning>\nFinal Answer: 208.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 3 = -472"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 25x = -475. Divide by 25: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 126 and 182."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(126,182) = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29911 at 20% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29911 × 20 × 10 / 100 = 59822.0.\n</reasoning>\nFinal Answer: 59822.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 99."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 99 by smallest primes repeatedly: 99 = 3 × 3 × 11.\n</reasoning>\nFinal Answer: 3 × 3 × 11"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 33 = -773"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 26x = -806. Divide by 26: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -858 + -988"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -858 and -988: -858 + -988 = -1846.\n</reasoning>\nFinal Answer: -1846"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:47 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/47, so B = A × (47/49) = 68 × 47/49 = 65.2245.\n</reasoning>\nFinal Answer: 65.2245"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 11 × -756"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 11 by -756: 11 × -756 = -8316.\n</reasoning>\nFinal Answer: -8316"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -28 = 602"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 30x = 630. Divide by 30: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -971 ÷ -265"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -971 by -265. -971 ÷ -265 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 797 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 797 × (1 + 10/100) = 797 × 1.1 = 876.7.\n</reasoning>\nFinal Answer: 876.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 8, 9, 11, 15, 16, 18] and B = [1, 8, 9, 11, 12, 16, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 8, 9, 11, 12, 15, 16, 17, 18, 19].\n</reasoning>\nFinal Answ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 11 = -1277"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 28x = -1288. Divide by 28: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -47 = -47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 23x = 0. Divide by 23: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 38, 37, 24, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 252/5 = 50.4.\n</reasoning>\nFinal Answer: 50.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -806 mod 638"
},
{
"role": "assistant",
"content": "<reasoning>\n-806 mod 638: -806 = 638 × -2 + 470, so remainder = 470.\n</reasoning>\nFinal Answer: 470"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2318. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2318 × 18/100 = 417.24. Total = 2318 + 417.24 = 2735.24.\n</reasoning>\nFinal Answer: 2735.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
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