messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the median of: [32, 23, 21, 68, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 23, 23, 32, 68]. Middle value(s) → median = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "9 is what percentage of 29?"
},
{
"role": "assistant",
"content": "<reasoning>\n(9/29) × 100 = 31.0345%.\n</reasoning>\nFinal Answer: 31.0345%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [4, 14, 15, 19] and B = [1, 4, 5, 6, 10, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 6, 10, 14, 15, 19].\n</reasoning>\nFinal Answer: [1, 4, 5, 6, 10, 14, 15, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 197 apples and buys 43 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 197 + 43 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -525 - 793"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 793 from -525: -525 - 793 = -1318.\n</reasoning>\nFinal Answer: -1318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 32) * (1 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+32)=57, (1-47)=-46, then 57×-46=-2622.\n</reasoning>\nFinal Answer: -2622"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 451 + 306"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 451 and 306: 451 + 306 = 757.\n</reasoning>\nFinal Answer: 757"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -31 = 145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 4x = 176. Divide by 4: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 95 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 95 × 33 = 3135.\n</reasoning>\nFinal Answer: 3135"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -992 + 909"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -992 and 909: -992 + 909 = -83.\n</reasoning>\nFinal Answer: -83"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 34 = -434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 12x = -468. Divide by 12: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 20, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (45-1)×20 = 49 + 880 = 929.\n</reasoning>\nFinal Answer: 929"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 100, 90, 94, 59, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [25, 50, 59, 90, 94, 100]. Middle value(s) → median = 74.5.\n</reasoning>\nFinal Answer: 74.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 / 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/19) ÷ (12/18) = (6/19) × (18/12) = 9/19.\n</reasoning>\nFinal Answer: 9/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 15% of 974?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 974 = (15/100) × 974 = 146.1.\n</reasoning>\nFinal Answer: 146.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -275 × -933"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -275 by -933: -275 × -933 = 256575.\n</reasoning>\nFinal Answer: 256575"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 35 = 787"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 16x = 752. Divide by 16: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -14 = -224"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 7x = -210. Divide by 7: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/4 + 5/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/4 + 5/8. Common denominator = 8. Result = 27/8.\n</reasoning>\nFinal Answer: 27/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1347. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1347 × 28/100 = 377.16. Total = 1347 + 377.16 = 1724.16.\n</reasoning>\nFinal Answer: 1724.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 43 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 18+1849-49=1818.\n</reasoning>\nFinal Answer: 1818"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [14, 31, 15, 83, 58, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 15, 31, 46, 58, 83]. Middle value(s) → median = 38.5.\n</reasoning>\nFinal Answer: 38.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 893 - 931"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 931 from 893: 893 - 931 = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 30 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 30 × 63 = 945.0.\n</reasoning>\nFinal Answer: 945.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 21 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+21) × 33 = 957.0.\n</reasoning>\nFinal Answer: 957.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 47 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 47 × 83 = 3901.\n</reasoning>\nFinal Answer: 3901"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 5, 10, 14, 15] and B = [2, 6, 8, 12, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 5, 6, 8, 10, 12, 13, 14, 15].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 651 × -503"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 651 by -503: 651 × -503 = -327453.\n</reasoning>\nFinal Answer: -327453"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [7, 10, 12, 14, 17, 18] and B = [1, 3, 5, 12, 13, 15, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [12, 17].\n</reasoning>\nFinal Answer: [12, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -62 + 635"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -62 and 635: -62 + 635 = 573.\n</reasoning>\nFinal Answer: 573"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 15 + 46 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×15=405 and 46×19=874, then add: 1279.\n</reasoning>\nFinal Answer: 1279"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 / 7/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/11) ÷ (7/17) = (6/11) × (17/7) = 102/77.\n</reasoning>\nFinal Answer: 102/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 64 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n64 = 2 × 32, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 42 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+42) × 39 = 1755.0.\n</reasoning>\nFinal Answer: 1755.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -617 mod 822"
},
{
"role": "assistant",
"content": "<reasoning>\n-617 mod 822: -617 = 822 × -1 + 205, so remainder = 205.\n</reasoning>\nFinal Answer: 205"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [16, 26, 36, 46, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 16 and common difference 10. Next term = 56 + 10 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 3, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (45-1)×3 = 13 + 132 = 145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 2, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (39-1)×2 = 19 + 76 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 225 mod -96"
},
{
"role": "assistant",
"content": "<reasoning>\n225 mod -96: 225 = -96 × -3 + -63, so remainder = -63.\n</reasoning>\nFinal Answer: -63"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:35 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/35, so B = A × (35/23) = 67 × 35/23 = 101.9565.\n</reasoning>\nFinal Answer: 101.9565"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:13 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/13, so B = A × (13/43) = 90 × 13/43 = 27.2093.\n</reasoning>\nFinal Answer: 27.2093"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35449 at 12% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35449 × 12 × 5 / 100 = 21269.4.\n</reasoning>\nFinal Answer: 21269.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 36 = -468"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 12x = -504. Divide by 12: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:31 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/31, so B = A × (31/28) = 95 × 31/28 = 105.1786.\n</reasoning>\nFinal Answer: 105.1786"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:8 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/8, so B = A × (8/43) = 33 × 8/43 = 6.1395.\n</reasoning>\nFinal Answer: 6.1395"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 17 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+17) × 23 = 218.5.\n</reasoning>\nFinal Answer: 218.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 47 = 479"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 12x = 432. Divide by 12: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 11 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+11) × 20 = 270.0.\n</reasoning>\nFinal Answer: 270.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 54 and 87."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(54,87) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -38 = -388"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 7x = -350. Divide by 7: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [80, 35, 74, 49, 100, 60, 3, 44, 66, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {80: 1, 35: 1, 74: 1, 49: 1, 100: 1, 60: 1, 3: 1, 44: 1, 66: 1, 84: 1}. Most frequent: [80, 35, 74, 49, 100, 60, 3, 44, 66, 84].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "660 is what percentage of 810?"
},
{
"role": "assistant",
"content": "<reasoning>\n(660/810) × 100 = 81.4815%.\n</reasoning>\nFinal Answer: 81.4815%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 35 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 37+1225-28=1234.\n</reasoning>\nFinal Answer: 1234"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [50, 36, 37, 89, 39, 56, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 373/7 = 53.2857.\n</reasoning>\nFinal Answer: 53.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [9, 39, 70, 100, 68, 13, 14, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {9: 1, 39: 1, 70: 1, 100: 1, 68: 1, 13: 1, 14: 1, 10: 1}. Most frequent: [9, 39, 70, 100, 68, 13, 14, 10].\n</reasoning>\nFinal Answer: [9, 39, ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 682 × 314"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 682 by 314: 682 × 314 = 214148.\n</reasoning>\nFinal Answer: 214148"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 69 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 69 × (1 + 75/100) = 69 × 1.75 = 120.75.\n</reasoning>\nFinal Answer: 120.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -773 + 493"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -773 and 493: -773 + 493 = -280.\n</reasoning>\nFinal Answer: -280"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15526 at 6% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15526 × 6 × 10 / 100 = 9315.6.\n</reasoning>\nFinal Answer: 9315.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/13 / 4/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/13) ÷ (4/9) = (5/13) × (9/4) = 45/52.\n</reasoning>\nFinal Answer: 45/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -466 + 408"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -466 and 408: -466 + 408 = -58.\n</reasoning>\nFinal Answer: -58"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/6 - 6/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/6 - 6/15. LCD = 15. Result = 44/15.\n</reasoning>\nFinal Answer: 44/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 9 = -86"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 19x = -95. Divide by 19: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 24 = -12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 2x = -36. Divide by 2: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 27, 28, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 27 + 28 + 32 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 901 km apart. Their speeds are 47 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 47+41=88 km/h. Time = 901/88 = 10.2386 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 13, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (11-1)×13 = 49 + 130 = 179.\n</reasoning>\nFinal Answer: 179"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹3803. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3803 × 18/100 = 684.54. Total = 3803 + 684.54 = 4487.54.\n</reasoning>\nFinal Answer: 4487.54"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [7, 11, 13, 14, 17] and B = [10, 11, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [11, 17].\n</reasoning>\nFinal Answer: [11, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 5/13 - 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/13 - 10/10. LCD = 13. Result = -8/13.\n</reasoning>\nFinal Answer: -8/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 32. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 32 ≈ 201.0619.\n</reasoning>\nFinal Answer: 201.0619"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 37 + 14 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×37=703 and 14×33=462, then add: 1165.\n</reasoning>\nFinal Answer: 1165"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×19)/1 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 - 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/4 - 14/5. LCD = 20. Result = -41/20.\n</reasoning>\nFinal Answer: -41/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [14, 27, 76, 29, 80, 66, 11, 50, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 14, 27, 29, 50, 66, 76, 80, 97]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:34 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/34, so B = A × (34/23) = 44 × 34/23 = 65.0435.\n</reasoning>\nFinal Answer: 65.0435"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹4101. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4101 × 5/100 = 205.05. Total = 4101 + 205.05 = 4306.05.\n</reasoning>\nFinal Answer: 4306.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -114 × 238"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -114 by 238: -114 × 238 = -27132.\n</reasoning>\nFinal Answer: -27132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 34 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 34 × 58 = 1972.\n</reasoning>\nFinal Answer: 1972"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 181 apples and buys 101 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 181 + 101 = 282.\n</reasoning>\nFinal Answer: 282"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 6 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 6 × 82 = 246.0.\n</reasoning>\nFinal Answer: 246.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 164 apples and buys 22 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 164 + 22 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 0 = -392"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 8x = -392. Divide by 8: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 36 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+36) × 25 = 637.5.\n</reasoning>\nFinal Answer: 637.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 667 × -979"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 667 by -979: 667 × -979 = -652993.\n</reasoning>\nFinal Answer: -652993"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 210 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 210 × (1 - 17/100) = 210 × 0.83 = 174.3.\n</reasoning>\nFinal Answer: 174.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 271 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 271 × (1 - 65/100) = 271 × 0.35 = 94.85.\n</reasoning>\nFinal Answer: 94.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/8 * 12/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/8) × (12/6) = (60/48) = 5/4 after simplification.\n</reasoning>\nFinal Answer: 5/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹525. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 525 × 28/100 = 147.0. Total = 525 + 147.0 = 672.0.\n</reasoning>\nFinal Answer: 672.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 35, 50, 58, 52, 100, 17, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 35: 1, 50: 1, 58: 1, 52: 1, 100: 1, 17: 1, 42: 1}. Most frequent: [94, 35, 50, 58, 52, 100, 17, 42].\n</reasoning>\nFinal Answer: [94, ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 176 apples and buys 166 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 176 + 166 = 342.\n</reasoning>\nFinal Answer: 342"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/2 * 14/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/2) × (14/13) = (196/26) = 98/13 after simplification.\n</reasoning>\nFinal Answer: 98/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 639 mod 995"
},
{
"role": "assistant",
"content": "<reasoning>\n639 mod 995: 639 = 995 × 0 + 639, so remainder = 639.\n</reasoning>\nFinal Answer: 639"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 92 and 133."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(92,133) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 15 and 198."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(15,198) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 50 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (50×20)/10 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 11, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (35-1)×11 = 24 + 374 = 398.\n</reasoning>\nFinal Answer: 398"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 40 * 1 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×1=40, then 36+40-16=60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 91 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 91 × 94 = 4277.0.\n</reasoning>\nFinal Answer: 4277.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1062. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1062 × 12/100 = 127.44. Total = 1062 + 127.44 = 1189.44.\n</reasoning>\nFinal Answer: 1189.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
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