messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 16, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (20-1)×16 = 26 + 304 = 330.\n</reasoning>\nFinal Answer: 330"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 462 ÷ 4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 462 by 4. 462 ÷ 4 = 115 (integer division).\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/12 / 20/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/12) ÷ (20/3) = (3/12) × (3/20) = 3/80.\n</reasoning>\nFinal Answer: 3/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -29 = -1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 7x = 28. Divide by 7: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -18 = 105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 3x = 123. Divide by 3: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -393 + -409"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -393 and -409: -393 + -409 = -802.\n</reasoning>\nFinal Answer: -802"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 534 + -956"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 534 and -956: 534 + -956 = -422.\n</reasoning>\nFinal Answer: -422"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 70 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(70+64) = 2×134 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 - 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/15 - 8/5. LCD = 15. Result = -4/15.\n</reasoning>\nFinal Answer: -4/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 12 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 12 = 156 worker-days. New time = 156 / 9 = 17.3333 days.\n</reasoning>\nFinal Answer: 17.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/20 / 11/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/20) ÷ (11/12) = (6/20) × (12/11) = 18/55.\n</reasoning>\nFinal Answer: 18/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 17, 83, 58, 87, 48, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 17 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 76 and height 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 76 × 51 = 3876.\n</reasoning>\nFinal Answer: 3876"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 43 * 19 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×19=817, then 15+817-24=808.\n</reasoning>\nFinal Answer: 808"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 165 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(165,44) = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 17/1 - 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/1 - 11/13. LCD = 13. Result = 210/13.\n</reasoning>\nFinal Answer: 210/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 10 + 19 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×10=190 and 19×1=19, then add: 209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 158 km apart. Their speeds are 41 km/h and 79 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+79=120 km/h. Time = 158/120 = 1.3167 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -23 × 964"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -23 by 964: -23 × 964 = -22172.\n</reasoning>\nFinal Answer: -22172"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹493. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 493 × 18/100 = 88.74. Total = 493 + 88.74 = 581.74.\n</reasoning>\nFinal Answer: 581.74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3251. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3251 × 28/100 = 910.28. Total = 3251 + 910.28 = 4161.28.\n</reasoning>\nFinal Answer: 4161.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 226 km apart. Their speeds are 86 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+109=195 km/h. Time = 226/195 = 1.159 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -35 = 217"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 18x = 252. Divide by 18: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 167 and 125."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(167,125) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 32 + 8 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×32=1440 and 8×38=304, then add: 1744.\n</reasoning>\nFinal Answer: 1744"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:16 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/16, so B = A × (16/45) = 100 × 16/45 = 35.5556.\n</reasoning>\nFinal Answer: 35.5556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -186 - 449"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 449 from -186: -186 - 449 = -635.\n</reasoning>\nFinal Answer: -635"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 50 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 41+2500-19=2522.\n</reasoning>\nFinal Answer: 2522"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [69, 33, 57, 42, 86, 50, 19, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 2 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 337 ÷ 120"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 337 by 120. 337 ÷ 120 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [85, 95, 80, 75, 31, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {85: 1, 95: 1, 80: 1, 75: 1, 31: 1, 92: 1}. Most frequent: [85, 95, 80, 75, 31, 92].\n</reasoning>\nFinal Answer: [85, 95, 80, 75, 31, 92]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 59 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 59 × (1 + 40/100) = 59 × 1.4 = 82.6.\n</reasoning>\nFinal Answer: 82.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (2)x + (-48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 2² - 4×1×-48 = 196. √discriminant = 14. x = (-(2) ± 14) / (2×1). Solutions: x = 6 or x = -8.\n</reasoning>\nFinal Answer: x = 6 or x = -8"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 433 + 802"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 433 and 802: 433 + 802 = 1235.\n</reasoning>\nFinal Answer: 1235"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 74 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 74 × 26 = 1924.\n</reasoning>\nFinal Answer: 1924"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 / 12/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/16) ÷ (12/19) = (8/16) × (19/12) = 19/24.\n</reasoning>\nFinal Answer: 19/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 9 * 46 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×46=414, then 7+414-11=410.\n</reasoning>\nFinal Answer: 410"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 9, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (28-1)×9 = 31 + 243 = 274.\n</reasoning>\nFinal Answer: 274"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 27 = 578"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 19x = 551. Divide by 19: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 34, 69, 94, 46, 57, 19, 29, 92, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 34: 1, 69: 1, 94: 1, 46: 1, 57: 1, 19: 1, 29: 1, 92: 1, 97: 1}. Most frequent: [76, 34, 69, 94, 46, 57, 19, 29, 92, 97].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 - 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/17 - 15/13. LCD = 221. Result = -8/221.\n</reasoning>\nFinal Answer: -8/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 75 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 75 × 57 = 4275.\n</reasoning>\nFinal Answer: 4275"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 50% of 572?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 572 = (50/100) × 572 = 286.0.\n</reasoning>\nFinal Answer: 286.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -36 = 382"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 22x = 418. Divide by 22: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -9 = -609"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 15x = -600. Divide by 15: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -823 - -364"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -364 from -823: -823 - -364 = -459.\n</reasoning>\nFinal Answer: -459"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 48 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+48) × 7 = 203.0.\n</reasoning>\nFinal Answer: 203.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 520 ÷ 726"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 520 by 726. 520 ÷ 726 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [39, 94, 39, 71, 23, 72, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {39: 2, 94: 1, 71: 2, 23: 1, 72: 1}. Most frequent: [39, 71].\n</reasoning>\nFinal Answer: [39, 71]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 68 and height 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 68 × 55 = 1870.0.\n</reasoning>\nFinal Answer: 1870.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/11 + 2/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/11 + 2/16. Common denominator = 88. Result = 19/88.\n</reasoning>\nFinal Answer: 19/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 97 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 97 × 22 = 2134.\n</reasoning>\nFinal Answer: 2134"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 15 = 544"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 23x = 529. Divide by 23: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 5, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (47-1)×5 = 8 + 230 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:19 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/19, so B = A × (19/30) = 22 × 19/30 = 13.9333.\n</reasoning>\nFinal Answer: 13.9333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/18 - 11/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/18 - 11/2. LCD = 18. Result = -91/18.\n</reasoning>\nFinal Answer: -91/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 12 = 180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 28x = 168. Divide by 28: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 160 apples and buys 155 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 160 + 155 = 315.\n</reasoning>\nFinal Answer: 315"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 17 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (17×7)/1 = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:42 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/42, so B = A × (42/27) = 45 × 42/27 = 70.0.\n</reasoning>\nFinal Answer: 70.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 46 apples and buys 60 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 46 + 60 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 352 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 352 × (1 - 75/100) = 352 × 0.25 = 88.0.\n</reasoning>\nFinal Answer: 88.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -37 = -389"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 22x = -352. Divide by 22: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 170 km apart. Their speeds are 113 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+86=199 km/h. Time = 170/199 = 0.8543 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [4, 17, 30, 43, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 4 and common difference 13. Next term = 56 + 13 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -41 = -15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 26x = 26. Divide by 26: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 923 × 953"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 923 by 953: 923 × 953 = 879619.\n</reasoning>\nFinal Answer: 879619"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 50 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(50+81) = 2×131 = 262.\n</reasoning>\nFinal Answer: 262"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 10 + -958"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 10 and -958: 10 + -958 = -948.\n</reasoning>\nFinal Answer: -948"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/5 - 13/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/5 - 13/6. LCD = 30. Result = 1/30.\n</reasoning>\nFinal Answer: 1/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 - 6/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/11 - 6/5. LCD = 55. Result = -51/55.\n</reasoning>\nFinal Answer: -51/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -910 - -85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -85 from -910: -910 - -85 = -825.\n</reasoning>\nFinal Answer: -825"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:23 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/23, so B = A × (23/50) = 69 × 23/50 = 31.74.\n</reasoning>\nFinal Answer: 31.74"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -14 = 244"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 6x = 258. Divide by 6: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 50 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+50) × 32 = 1200.0.\n</reasoning>\nFinal Answer: 1200.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -5 = 44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 7x = 49. Divide by 7: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 45 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 11+2025-32=2004.\n</reasoning>\nFinal Answer: 2004"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -95 + 781"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -95 and 781: -95 + 781 = 686.\n</reasoning>\nFinal Answer: 686"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 586 mod 517"
},
{
"role": "assistant",
"content": "<reasoning>\n586 mod 517: 586 = 517 × 1 + 69, so remainder = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 129 apples and buys 46 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 129 + 46 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 18 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 18 = 252 worker-days. New time = 252 / 4 = 63.0 days.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 66 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(66+40) = 2×106 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -782 ÷ -855"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -782 by -855. -782 ÷ -855 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 656 + 427"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 656 and 427: 656 + 427 = 1083.\n</reasoning>\nFinal Answer: 1083"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/4 / 1/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/4) ÷ (1/9) = (10/4) × (9/1) = 45/2.\n</reasoning>\nFinal Answer: 45/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 92 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(92+38) = 2×130 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 30 = 296"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 14x = 266. Divide by 14: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:19 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/19, so B = A × (19/14) = 80 × 19/14 = 108.5714.\n</reasoning>\nFinal Answer: 108.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 35) * (37 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+35)=69, (37-14)=23, then 69×23=1587.\n</reasoning>\nFinal Answer: 1587"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 245 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 245 × (1 - 35/100) = 245 × 0.65 = 159.25.\n</reasoning>\nFinal Answer: 159.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 / 8/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/9) ÷ (8/20) = (18/9) × (20/8) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -33 = -303"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 15x = -270. Divide by 15: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 40 + 39 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×40=40 and 39×33=1287, then add: 1327.\n</reasoning>\nFinal Answer: 1327"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 / 17/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/11) ÷ (17/15) = (19/11) × (15/17) = 285/187.\n</reasoning>\nFinal Answer: 285/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -231 mod 170"
},
{
"role": "assistant",
"content": "<reasoning>\n-231 mod 170: -231 = 170 × -2 + 109, so remainder = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 20 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 20 × 1 = 10.0.\n</reasoning>\nFinal Answer: 10.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -104 × 179"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -104 by 179: -104 × 179 = -18616.\n</reasoning>\nFinal Answer: -18616"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -922 ÷ -961"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -922 by -961. -922 ÷ -961 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -42 = -792"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 30x = -750. Divide by 30: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 5) * (42 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+5)=29, (42-27)=15, then 29×15=435.\n</reasoning>\nFinal Answer: 435"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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