messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 9 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 34+81-13=102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 + 19/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/13 + 19/5. Common denominator = 65. Result = 342/65.\n</reasoning>\nFinal Answer: 342/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/1 / 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/1) ÷ (5/5) = (10/1) × (5/5) = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 93, 89, 84, 21, 30, 35, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 1, 93: 1, 89: 1, 84: 1, 21: 1, 30: 1, 35: 1, 27: 1}. Most frequent: [44, 93, 89, 84, 21, 30, 35, 27].\n</reasoning>\nFinal Answer: [44, 93,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 75% of 453?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 453 = (75/100) × 453 = 339.75.\n</reasoning>\nFinal Answer: 339.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:9 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/9, so B = A × (9/46) = 2 × 9/46 = 0.3913.\n</reasoning>\nFinal Answer: 0.3913"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 8, 10, 12, 13, 19] and B = [4, 5, 10, 11], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 7, 8, 12, 13, 19].\n</reasoning>\nFinal Answer: [2, 3, 7, 8, 12, 13, 19... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 45) * (33 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+45)=60, (33-34)=-1, then 60×-1=-60.\n</reasoning>\nFinal Answer: -60"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 35) * (43 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+35)=37, (43-30)=13, then 37×13=481.\n</reasoning>\nFinal Answer: 481"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [94, 27, 48, 14, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 14 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 7, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (16-1)×7 = 28 + 105 = 133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 3, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (39-1)×3 = 8 + 114 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -603 ÷ 706"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -603 by 706. -603 ÷ 706 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:46 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/46, so B = A × (46/39) = 23 × 46/39 = 27.1282.\n</reasoning>\nFinal Answer: 27.1282"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 8 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 42+64-48=58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:50 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/50, so B = A × (50/31) = 6 × 50/31 = 9.6774.\n</reasoning>\nFinal Answer: 9.6774"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 11 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 11 = 110 worker-days. New time = 110 / 13 = 8.4615 days.\n</reasoning>\nFinal Answer: 8.4615"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44093 at 16% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44093 × 16 × 6 / 100 = 42329.28.\n</reasoning>\nFinal Answer: 42329.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 350 ÷ 801"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 350 by 801. 350 ÷ 801 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:13 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/13, so B = A × (13/17) = 29 × 13/17 = 22.1765.\n</reasoning>\nFinal Answer: 22.1765"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:47 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/47, so B = A × (47/8) = 44 × 47/8 = 258.5.\n</reasoning>\nFinal Answer: 258.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 49 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 49 × 35 = 1715.\n</reasoning>\nFinal Answer: 1715"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 492 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 492 × (1 + 60/100) = 492 × 1.6 = 787.2.\n</reasoning>\nFinal Answer: 787.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 636 mod 564"
},
{
"role": "assistant",
"content": "<reasoning>\n636 mod 564: 636 = 564 × 1 + 72, so remainder = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 5, 8, 10, 12] and B = [7, 10, 13, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10].\n</reasoning>\nFinal Answer: [10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 59, 93, 93, 61, 49, 87, 37, 42, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 1 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 15 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+15) × 15 = 165.0.\n</reasoning>\nFinal Answer: 165.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 24 mod -119"
},
{
"role": "assistant",
"content": "<reasoning>\n24 mod -119: 24 = -119 × -1 + -95, so remainder = -95.\n</reasoning>\nFinal Answer: -95"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 + 15/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/4 + 15/14. Common denominator = 28. Result = 121/28.\n</reasoning>\nFinal Answer: 121/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 - 14/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/9 - 14/3. LCD = 3. Result = -4.\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 795 × 157"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 795 by 157: 795 × 157 = 124815.\n</reasoning>\nFinal Answer: 124815"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:47 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/47, so B = A × (47/17) = 16 × 47/17 = 44.2353.\n</reasoning>\nFinal Answer: 44.2353"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 45, 87, 22, 75, 85, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 22 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 18 = 158"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 7x = 140. Divide by 7: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 183 and 180."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(183,180) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 47) * (32 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+47)=87, (32-46)=-14, then 87×-14=-1218.\n</reasoning>\nFinal Answer: -1218"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 7, 8, 10, 14, 15] and B = [9, 16, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 7, 8, 9, 10, 14, 15, 16, 19].\n</reasoning>\nFinal Answer: [4, 5, 7, 8, 9, 10, 14,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 913 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 913 × (1 - 90/100) = 913 × 0.09999999999999998 = 91.3.\n</reasoning>\nFinal Answer: 91.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:45 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/45, so B = A × (45/35) = 44 × 45/35 = 56.5714.\n</reasoning>\nFinal Answer: 56.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 6 * 19 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×19=114, then 3+114-11=106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -9 ÷ 985"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -9 by 985. -9 ÷ 985 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [14, 26, 66, 42, 89, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 26, 42, 66, 85, 89]. Middle value(s) → median = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 / 17/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/17) ÷ (17/17) = (3/17) × (17/17) = 3/17.\n</reasoning>\nFinal Answer: 3/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 9, 10, 15, 16, 19] and B = [5, 7, 9, 11, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 5, 7, 9, 10, 11, 15, 16, 18, 19].\n</reasoning>\nFinal Answer: [2, 3, 5,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 + 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/5 + 1/7. Common denominator = 7. Result = 22/7.\n</reasoning>\nFinal Answer: 22/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 300 ÷ -942"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 300 by -942. 300 ÷ -942 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/4 - 10/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/4 - 10/14. LCD = 14. Result = 53/14.\n</reasoning>\nFinal Answer: 53/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 * 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/11) × (8/8) = (96/88) = 12/11 after simplification.\n</reasoning>\nFinal Answer: 12/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -18 = 626"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 14x = 644. Divide by 14: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 25% of 959?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 959 = (25/100) × 959 = 239.75.\n</reasoning>\nFinal Answer: 239.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 30 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+30) × 28 = 1092.0.\n</reasoning>\nFinal Answer: 1092.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 12 ÷ -246"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 12 by -246. 12 ÷ -246 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "229 is what percentage of 532?"
},
{
"role": "assistant",
"content": "<reasoning>\n(229/532) × 100 = 43.0451%.\n</reasoning>\nFinal Answer: 43.0451%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 102 and 153."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(102,153) = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 5, 13] and B = [5, 7, 8, 12, 13, 14, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2, 3].\n</reasoning>\nFinal Answer: [1, 2, 3]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 16 = -214"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 5x = -230. Divide by 5: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 80 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 80 × 47 = 3760.\n</reasoning>\nFinal Answer: 3760"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 41 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+41) × 29 = 1174.5.\n</reasoning>\nFinal Answer: 1174.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 890 + 482"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 890 and 482: 890 + 482 = 1372.\n</reasoning>\nFinal Answer: 1372"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 18 * 30 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×30=540, then 16+540-7=549.\n</reasoning>\nFinal Answer: 549"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 268 km apart. Their speeds are 74 km/h and 55 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+55=129 km/h. Time = 268/129 = 2.0775 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 15 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 15 × 24 = 180.0.\n</reasoning>\nFinal Answer: 180.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 36 = 906"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 29x = 870. Divide by 29: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 61 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 61 × 21 = 1281.\n</reasoning>\nFinal Answer: 1281"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1036. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1036 × 18/100 = 186.48. Total = 1036 + 186.48 = 1222.48.\n</reasoning>\nFinal Answer: 1222.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-12)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×4×0 = 144. √discriminant = 12. x = (-(-12) ± 12) / (2×4). Solutions: x = 3 or x = 0.\n</reasoning>\nFinal Answer: x = 3 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 844 ÷ -969"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 844 by -969. 844 ÷ -969 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:47 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/47, so B = A × (47/26) = 75 × 47/26 = 135.5769.\n</reasoning>\nFinal Answer: 135.5769"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [100, 82, 100, 84, 57, 74, 78, 89, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 57 = 43.\n</reasoning>\nFinal Answer: 43"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹3510. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3510 × 18/100 = 631.8. Total = 3510 + 631.8 = 4141.8.\n</reasoning>\nFinal Answer: 4141.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 15) * (18 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+15)=17, (18-29)=-11, then 17×-11=-187.\n</reasoning>\nFinal Answer: -187"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 206 km apart. Their speeds are 89 km/h and 53 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+53=142 km/h. Time = 206/142 = 1.4507 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 3 + 19 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×3=87 and 19×26=494, then add: 581.\n</reasoning>\nFinal Answer: 581"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 54 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 54 × 33 = 1782.\n</reasoning>\nFinal Answer: 1782"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/15 + 6/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/15 + 6/2. Common denominator = 15. Result = 47/15.\n</reasoning>\nFinal Answer: 47/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate: 9^5"
},
{
"role": "assistant",
"content": "<reasoning>\n9^5 = 9 × 9 × 9 × 9 × 9 = 59049.\n</reasoning>\nFinal Answer: 59049"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -12 = 380"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 28x = 392. Divide by 28: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 32 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 32 × (1 - 30/100) = 32 × 0.7 = 22.4.\n</reasoning>\nFinal Answer: 22.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [66, 63, 4, 99, 59, 86, 81, 1, 27, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 494/10 = 49.4.\n</reasoning>\nFinal Answer: 49.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 265 km apart. Their speeds are 97 km/h and 87 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 97+87=184 km/h. Time = 265/184 = 1.4402 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 3) * (48 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+3)=43, (48-23)=25, then 43×25=1075.\n</reasoning>\nFinal Answer: 1075"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 16 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 16 × 66 = 1056.\n</reasoning>\nFinal Answer: 1056"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 329 - -406"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -406 from 329: 329 - -406 = 735.\n</reasoning>\nFinal Answer: 735"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "388 is what percentage of 517?"
},
{
"role": "assistant",
"content": "<reasoning>\n(388/517) × 100 = 75.0484%.\n</reasoning>\nFinal Answer: 75.0484%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [17, 26, 97, 55, 72, 36, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 26, 36, 55, 57, 72, 97]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 43 = 808"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 17x = 765. Divide by 17: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹544. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 544 × 18/100 = 97.92. Total = 544 + 97.92 = 641.92.\n</reasoning>\nFinal Answer: 641.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:31 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/31, so B = A × (31/2) = 11 × 31/2 = 170.5.\n</reasoning>\nFinal Answer: 170.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 10/18 + 7/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/18 + 7/20. Common denominator = 180. Result = 163/180.\n</reasoning>\nFinal Answer: 163/180"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 141 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 141 × (1 - 60/100) = 141 × 0.4 = 56.4.\n</reasoning>\nFinal Answer: 56.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -25 = 263"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 16x = 288. Divide by 16: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 921 + 883"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 921 and 883: 921 + 883 = 1804.\n</reasoning>\nFinal Answer: 1804"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 8, 13, 15, 18] and B = [2, 3, 5, 6, 7, 9, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 5, 6, 7, 8, 9, 13, 15, 16, 18].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 9 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 9 = 72 worker-days. New time = 72 / 12 = 6.0 days.\n</reasoning>\nFinal Answer: 6.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 405 km apart. Their speeds are 106 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 106+86=192 km/h. Time = 405/192 = 2.1094 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 83, 18, 20, 6, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 18, 20, 42, 62, 83]. Middle value(s) → median = 31.0.\n</reasoning>\nFinal Answer: 31.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 691 × 777"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 691 by 777: 691 × 777 = 536907.\n</reasoning>\nFinal Answer: 536907"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 5 = -565"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 30x = -570. Divide by 30: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 148 apples and buys 168 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 148 + 168 = 316.\n</reasoning>\nFinal Answer: 316"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/19 + 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/19 + 10/13. Common denominator = 247. Result = 450/247.\n</reasoning>\nFinal Answer: 450/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
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