messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 8x + -7 = -47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 8x = -40. Divide by 8: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 147 mod 677"
},
{
"role": "assistant",
"content": "<reasoning>\n147 mod 677: 147 = 677 × 0 + 147, so remainder = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 8 and height 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 8 × 85 = 680.\n</reasoning>\nFinal Answer: 680"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 201 + 636"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 201 and 636: 201 + 636 = 837.\n</reasoning>\nFinal Answer: 837"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 66, 67, 50, 36, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 330/6 = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [24, 30, 36, 42, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 24 and common difference 6. Next term = 48 + 6 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×50)/2 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 10, 17] and B = [6, 8, 10, 12, 13, 16, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 10].\n</reasoning>\nFinal Answer: [6, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 32 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 32 × 56 = 896.0.\n</reasoning>\nFinal Answer: 896.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 28 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 31+784-42=773.\n</reasoning>\nFinal Answer: 773"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 43 + 16 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×43=1505 and 16×24=384, then add: 1889.\n</reasoning>\nFinal Answer: 1889"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 33 = 85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 2x = 52. Divide by 2: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 13 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 13 = 156 worker-days. New time = 156 / 6 = 26.0 days.\n</reasoning>\nFinal Answer: 26.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 382 - 745"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 745 from 382: 382 - 745 = -363.\n</reasoning>\nFinal Answer: -363"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 168 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(168,48) = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -775 × -830"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -775 by -830: -775 × -830 = 643250.\n</reasoning>\nFinal Answer: 643250"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -199 mod 630"
},
{
"role": "assistant",
"content": "<reasoning>\n-199 mod 630: -199 = 630 × -1 + 431, so remainder = 431.\n</reasoning>\nFinal Answer: 431"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 17 = -225"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 22x = -242. Divide by 22: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 18 = -707"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 25x = -725. Divide by 25: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 60 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 60 × (1 + 45/100) = 60 × 1.45 = 87.0.\n</reasoning>\nFinal Answer: 87.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 53 apples and buys 122 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 53 + 122 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 167 km/h. How far does it travel in 1 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 9/60 = 1.1500 hours. Distance = speed × time = 167 × 1.1500 = 192.05 km.\n</reasoning>\nFinal Answer: 192.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -83 ÷ 510"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -83 by 510. -83 ÷ 510 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 190 + 507"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 190 and 507: 190 + 507 = 697.\n</reasoning>\nFinal Answer: 697"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:40 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/40, so B = A × (40/26) = 47 × 40/26 = 72.3077.\n</reasoning>\nFinal Answer: 72.3077"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -9 = -306"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 11x = -297. Divide by 11: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -41 = 157"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 6x = 198. Divide by 6: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -29 ÷ -720"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -29 by -720. -29 ÷ -720 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 663 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 663 × (1 + 100/100) = 663 × 2.0 = 1326.0.\n</reasoning>\nFinal Answer: 1326.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 61, 65, 97, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [44, 61, 65, 72, 97]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 5/8 / 3/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/8) ÷ (3/7) = (5/8) × (7/3) = 35/24.\n</reasoning>\nFinal Answer: 35/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 100 km/h. How far does it travel in 10 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 58/60 = 10.9667 hours. Distance = speed × time = 100 × 10.9667 = 1096.6667 km.\n</reasoning>\nFinal Answer: 1096.6667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 18 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 18 × 32 = 288.0.\n</reasoning>\nFinal Answer: 288.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -25 = -575"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 22x = -550. Divide by 22: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 28 * 6 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×6=168, then 8+168-50=126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 16 + 30 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×16=464 and 30×40=1200, then add: 1664.\n</reasoning>\nFinal Answer: 1664"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -279 + -254"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -279 and -254: -279 + -254 = -533.\n</reasoning>\nFinal Answer: -533"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 433 × -12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 433 by -12: 433 × -12 = -5196.\n</reasoning>\nFinal Answer: -5196"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -492 ÷ -138"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -492 by -138. -492 ÷ -138 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 16 + -680"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 16 and -680: 16 + -680 = -664.\n</reasoning>\nFinal Answer: -664"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 28 = 964"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 26x = 936. Divide by 26: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 59 ÷ -359"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 59 by -359. 59 ÷ -359 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/18 + 14/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/18 + 14/12. Common denominator = 18. Result = 37/18.\n</reasoning>\nFinal Answer: 37/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 8 = -97"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 21x = -105. Divide by 21: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 88 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(88+70) = 2×158 = 316.\n</reasoning>\nFinal Answer: 316"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 18, 35, 6, 89, 94, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 18: 1, 35: 1, 6: 1, 89: 1, 94: 1, 39: 1}. Most frequent: [95, 18, 35, 6, 89, 94, 39].\n</reasoning>\nFinal Answer: [95, 18, 35, 6, 89, 94, 39... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [21, 80, 13, 22, 85, 52, 27, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 13 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 124 apples and buys 86 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 124 + 86 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 9 = -144"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 9x = -153. Divide by 9: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 69, 38, 57, 84, 5, 81, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 5 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [14, 34, 86, 13, 95, 61, 31, 24, 61, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {14: 1, 34: 1, 86: 1, 13: 1, 95: 1, 61: 2, 31: 1, 24: 1, 74: 1}. Most frequent: 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 938 - 733"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 733 from 938: 938 - 733 = 205.\n</reasoning>\nFinal Answer: 205"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:12 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/12, so B = A × (12/19) = 22 × 12/19 = 13.8947.\n</reasoning>\nFinal Answer: 13.8947"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 365 mod -658"
},
{
"role": "assistant",
"content": "<reasoning>\n365 mod -658: 365 = -658 × -1 + -293, so remainder = -293.\n</reasoning>\nFinal Answer: -293"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -11 = 219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 5x = 230. Divide by 5: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3041. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3041 × 18/100 = 547.38. Total = 3041 + 547.38 = 3588.38.\n</reasoning>\nFinal Answer: 3588.38"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 18, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (29-1)×18 = 50 + 504 = 554.\n</reasoning>\nFinal Answer: 554"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹2068. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2068 × 5/100 = 103.4. Total = 2068 + 103.4 = 2171.4.\n</reasoning>\nFinal Answer: 2171.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 16] and B = [2, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8].\n</reasoning>\nFinal Answer: [8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 18, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (29-1)×18 = 37 + 504 = 541.\n</reasoning>\nFinal Answer: 541"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 50 = 3900.\n</reasoning>\nFinal Answer: 3900"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 60 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(60+18) = 2×78 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 159 apples and buys 10 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 159 + 10 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "465 is what percentage of 913?"
},
{
"role": "assistant",
"content": "<reasoning>\n(465/913) × 100 = 50.931%.\n</reasoning>\nFinal Answer: 50.931%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 6 = -90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 4x = -96. Divide by 4: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 28, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 28 + 30 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 9, 11, 16, 18] and B = [3, 6, 14, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 6, 9, 11, 14, 16, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 9, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 68 apples and buys 118 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 68 + 118 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/3 / 17/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/3) ÷ (17/9) = (8/3) × (9/17) = 24/17.\n</reasoning>\nFinal Answer: 24/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 43 = -516"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 13x = -559. Divide by 13: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -31 = -537"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 22x = -506. Divide by 22: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 259 × -741"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 259 by -741: 259 × -741 = -191919.\n</reasoning>\nFinal Answer: -191919"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 93 and 72."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(93,72) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹568. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 568 × 18/100 = 102.24. Total = 568 + 102.24 = 670.24.\n</reasoning>\nFinal Answer: 670.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 3 + 19 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×3=39 and 19×16=304, then add: 343.\n</reasoning>\nFinal Answer: 343"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 8 + 8 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×8=120 and 8×2=16, then add: 136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -44 = -226"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 13x = -182. Divide by 13: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/19 / 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/19) ÷ (17/4) = (8/19) × (4/17) = 32/323.\n</reasoning>\nFinal Answer: 32/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35769 at 6% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35769 × 6 × 2 / 100 = 4292.28.\n</reasoning>\nFinal Answer: 4292.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 + 9/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/18 + 9/14. Common denominator = 126. Result = 44/63.\n</reasoning>\nFinal Answer: 44/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 42 = 112"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 5x = 70. Divide by 5: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 517 ÷ 293"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 517 by 293. 517 ÷ 293 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -296 ÷ 598"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -296 by 598. -296 ÷ 598 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 493 mod 129"
},
{
"role": "assistant",
"content": "<reasoning>\n493 mod 129: 493 = 129 × 3 + 106, so remainder = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 - 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/18 - 12/17. LCD = 51. Result = -19/51.\n</reasoning>\nFinal Answer: -19/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 - 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/2 - 12/13. LCD = 13. Result = 105/13.\n</reasoning>\nFinal Answer: 105/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [8, 14, 15] and B = [3, 9, 10, 12, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 24 + 8 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×24=888 and 8×24=192, then add: 1080.\n</reasoning>\nFinal Answer: 1080"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 8, 9, 12, 13, 17, 19] and B = [4, 5, 9, 11, 15, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 17].\n</reasoning>\nFinal Answer: [9, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [68, 23, 24, 80, 35, 87, 8, 21, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 433/9 = 48.1111.\n</reasoning>\nFinal Answer: 48.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 23 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 23 = 69 worker-days. New time = 69 / 9 = 7.6667 days.\n</reasoning>\nFinal Answer: 7.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:15 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/15, so B = A × (15/44) = 61 × 15/44 = 20.7955.\n</reasoning>\nFinal Answer: 20.7955"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 62 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 62 × 93 = 5766.\n</reasoning>\nFinal Answer: 5766"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:25 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/25, so B = A × (25/23) = 19 × 25/23 = 20.6522.\n</reasoning>\nFinal Answer: 20.6522"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 37 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 29+1369-40=1358.\n</reasoning>\nFinal Answer: 1358"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 30 = 122"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 4x = 92. Divide by 4: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 25 * 11 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×11=275, then 49+275-48=276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 37 * 26 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×26=962, then 36+962-5=993.\n</reasoning>\nFinal Answer: 993"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 18 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 18 × 93 = 837.0.\n</reasoning>\nFinal Answer: 837.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 55, 36, 98, 95, 75, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 55: 1, 36: 1, 98: 1, 95: 1, 75: 1, 18: 1}. Most frequent: [22, 55, 36, 98, 95, 75, 18].\n</reasoning>\nFinal Answer: [22, 55, 36, 98, 95, 75... | easy | [
"statistics",
"mode"
] |
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