messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "A train travels at 75 km/h. How far does it travel in 6 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 39/60 = 6.6500 hours. Distance = speed × time = 75 × 6.6500 = 498.75 km.\n</reasoning>\nFinal Answer: 498.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -174 + 70"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -174 and 70: -174 + 70 = -104.\n</reasoning>\nFinal Answer: -104"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹731. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 731 × 12/100 = 87.72. Total = 731 + 87.72 = 818.72.\n</reasoning>\nFinal Answer: 818.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 2 = -1018"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 30x = -1020. Divide by 30: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 12 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+12) × 20 = 220.0.\n</reasoning>\nFinal Answer: 220.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [67, 42, 89, 92, 83, 16, 91, 25, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 604/9 = 67.1111.\n</reasoning>\nFinal Answer: 67.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 41 * 50 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×50=2050, then 11+2050-11=2050.\n</reasoning>\nFinal Answer: 2050"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "List all positive factors of 98."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 98: factors are [1, 2, 7, 14, 49, 98].\n</reasoning>\nFinal Answer: [1, 2, 7, 14, 49, 98]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 29, 98, 98, 86, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [29, 29, 76, 86, 98, 98]. Middle value(s) → median = 81.0.\n</reasoning>\nFinal Answer: 81.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 238 ÷ 533"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 238 by 533. 238 ÷ 533 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:47 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/47, so B = A × (47/18) = 39 × 47/18 = 101.8333.\n</reasoning>\nFinal Answer: 101.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 8 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 36+64-3=97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 8 = -517"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 15x = -525. Divide by 15: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 7 and 81."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(7,81) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 72, 47, 92, 97, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 72: 1, 47: 1, 92: 1, 97: 1, 64: 1}. Most frequent: [30, 72, 47, 92, 97, 64].\n</reasoning>\nFinal Answer: [30, 72, 47, 92, 97, 64]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹1475. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1475 × 5/100 = 73.75. Total = 1475 + 73.75 = 1548.75.\n</reasoning>\nFinal Answer: 1548.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 97 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 97 × 3 = 291.\n</reasoning>\nFinal Answer: 291"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -789 + -689"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -789 and -689: -789 + -689 = -1478.\n</reasoning>\nFinal Answer: -1478"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 33 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+33) × 37 = 1073.0.\n</reasoning>\nFinal Answer: 1073.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 806 km apart. Their speeds are 113 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+107=220 km/h. Time = 806/220 = 3.6636 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -638 - -603"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -603 from -638: -638 - -603 = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -767 ÷ 29"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -767 by 29. -767 ÷ 29 = -27 (integer division).\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 327 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 327 × (1 + 45/100) = 327 × 1.45 = 474.15.\n</reasoning>\nFinal Answer: 474.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -50 = -110"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 4x = -60. Divide by 4: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 39 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 39 × 53 = 2067.\n</reasoning>\nFinal Answer: 2067"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6069 at 2% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6069 × 2 × 8 / 100 = 971.04.\n</reasoning>\nFinal Answer: 971.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -28 = 308"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 12x = 336. Divide by 12: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -146 mod 715"
},
{
"role": "assistant",
"content": "<reasoning>\n-146 mod 715: -146 = 715 × -1 + 569, so remainder = 569.\n</reasoning>\nFinal Answer: 569"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 138 ÷ -366"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 138 by -366. 138 ÷ -366 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 196 km/h. How far does it travel in 2 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 0/60 = 2.0000 hours. Distance = speed × time = 196 × 2.0000 = 392.0 km.\n</reasoning>\nFinal Answer: 392.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 34 = 646"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 17x = 612. Divide by 17: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 49 = 85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 2x = 36. Divide by 2: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 619 - 393"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 393 from 619: 619 - 393 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 16, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (19-1)×16 = 6 + 288 = 294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 976 ÷ 389"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 976 by 389. 976 ÷ 389 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -7 = 126"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 7x = 133. Divide by 7: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 65% of 298?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 298 = (65/100) × 298 = 193.7.\n</reasoning>\nFinal Answer: 193.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:25 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/25, so B = A × (25/13) = 91 × 25/13 = 175.0.\n</reasoning>\nFinal Answer: 175.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 17 apples and buys 17 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 17 + 17 = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 76 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 76 × 23 = 1748.\n</reasoning>\nFinal Answer: 1748"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/6 - 6/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/6 - 6/17. LCD = 51. Result = 118/51.\n</reasoning>\nFinal Answer: 118/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 85, 19, 85, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 275/5 = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 63 km/h. How far does it travel in 11 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 28/60 = 11.4667 hours. Distance = speed × time = 63 × 11.4667 = 722.4 km.\n</reasoning>\nFinal Answer: 722.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 49, 91, 91, 4, 78, 21, 9, 40, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 487/10 = 48.7.\n</reasoning>\nFinal Answer: 48.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 835 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 835 × (1 + 60/100) = 835 × 1.6 = 1336.0.\n</reasoning>\nFinal Answer: 1336.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 42 + 14 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×42=924 and 14×11=154, then add: 1078.\n</reasoning>\nFinal Answer: 1078"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 / 5/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/20) ÷ (5/8) = (11/20) × (8/5) = 22/25.\n</reasoning>\nFinal Answer: 22/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 5, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (37-1)×5 = 33 + 180 = 213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 42 * 27 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×27=1134, then 41+1134-47=1128.\n</reasoning>\nFinal Answer: 1128"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/2 / 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/2) ÷ (9/20) = (2/2) × (20/9) = 20/9.\n</reasoning>\nFinal Answer: 20/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -38 = 304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 19x = 342. Divide by 19: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -3 = 694"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 17x = 697. Divide by 17: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 151 apples and buys 172 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 151 + 172 = 323.\n</reasoning>\nFinal Answer: 323"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (5)x + (-450) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 5² - 4×5×-450 = 9025. √discriminant = 95. x = (-(5) ± 95) / (2×5). Solutions: x = 9 or x = -10.\n</reasoning>\nFinal Answer: x = 9 or x = -10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -13 = 92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 7x = 105. Divide by 7: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 49 + 28 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×49=1813 and 28×40=1120, then add: 2933.\n</reasoning>\nFinal Answer: 2933"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/6 + 20/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/6 + 20/9. Common denominator = 9. Result = 26/9.\n</reasoning>\nFinal Answer: 26/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [3, 59, 25, 43, 58, 69, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 69 - 3 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [14, 92, 10, 74, 99, 15, 64, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {14: 1, 92: 1, 10: 1, 74: 1, 99: 1, 15: 1, 64: 1, 20: 1}. Most frequent: [14, 92, 10, 74, 99, 15, 64, 20].\n</reasoning>\nFinal Answer: [14, 92,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 148 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(148,16) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 7 * 22 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×22=154, then 50+154-45=159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:41 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/41, so B = A × (41/9) = 74 × 41/9 = 337.1111.\n</reasoning>\nFinal Answer: 337.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 / 4/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/13) ÷ (4/1) = (1/13) × (1/4) = 1/52.\n</reasoning>\nFinal Answer: 1/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3489 at 13% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3489 × 13 × 5 / 100 = 2267.85.\n</reasoning>\nFinal Answer: 2267.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6, 12, 15, 16, 18] and B = [6, 8, 9, 12, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 12].\n</reasoning>\nFinal Answer: [6, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 199 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 199 × (1 - 10/100) = 199 × 0.9 = 179.1.\n</reasoning>\nFinal Answer: 179.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 341 mod 294"
},
{
"role": "assistant",
"content": "<reasoning>\n341 mod 294: 341 = 294 × 1 + 47, so remainder = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -7 = 1253"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 30x = 1260. Divide by 30: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 24 = 200"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 4x = 176. Divide by 4: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 111 km/h. How far does it travel in 6 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 47/60 = 6.7833 hours. Distance = speed × time = 111 × 6.7833 = 752.95 km.\n</reasoning>\nFinal Answer: 752.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7012 at 5% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7012 × 5 × 10 / 100 = 3506.0.\n</reasoning>\nFinal Answer: 3506.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 776 × 277"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 776 by 277: 776 × 277 = 214952.\n</reasoning>\nFinal Answer: 214952"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 709 + -717"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 709 and -717: 709 + -717 = -8.\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 8 * 5 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×5=40, then 16+40-33=23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 820 ÷ 140"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 820 by 140. 820 ÷ 140 = 5 (integer division).\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8564 at 4% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8564 × 4 × 4 / 100 = 1370.24.\n</reasoning>\nFinal Answer: 1370.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 168 km/h. How far does it travel in 8 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 29/60 = 8.4833 hours. Distance = speed × time = 168 × 8.4833 = 1425.2 km.\n</reasoning>\nFinal Answer: 1425.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 230 × 554"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 230 by 554: 230 × 554 = 127420.\n</reasoning>\nFinal Answer: 127420"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 44 = -110"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 11x = -154. Divide by 11: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 277 - 797"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 797 from 277: 277 - 797 = -520.\n</reasoning>\nFinal Answer: -520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 9 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 22+81-25=78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 74, 36, 25, 27, 62, 25, 88, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 6 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 13/17 / 7/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/17) ÷ (7/6) = (13/17) × (6/7) = 78/119.\n</reasoning>\nFinal Answer: 78/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 14, 18] and B = [1, 4, 5, 7, 9, 12, 15, 16], 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": "Given A = [4, 6, 9, 10, 14, 17] and B = [1, 2, 5, 6, 9, 13, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 5, 6, 9, 10, 13, 14, 15, 17, 18].\n</reasoning>\nFinal Answer: [1,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:31 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/31, so B = A × (31/36) = 82 × 31/36 = 70.6111.\n</reasoning>\nFinal Answer: 70.6111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 433 + 341"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 433 and 341: 433 + 341 = 774.\n</reasoning>\nFinal Answer: 774"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 69, 34, 15, 74, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 69: 1, 34: 1, 15: 1, 74: 1, 41: 1}. Most frequent: [57, 69, 34, 15, 74, 41].\n</reasoning>\nFinal Answer: [57, 69, 34, 15, 74, 41]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 20) * (31 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+20)=51, (31-8)=23, then 51×23=1173.\n</reasoning>\nFinal Answer: 1173"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 514 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 514 × (1 + 30/100) = 514 × 1.3 = 668.2.\n</reasoning>\nFinal Answer: 668.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -416 + -310"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -416 and -310: -416 + -310 = -726.\n</reasoning>\nFinal Answer: -726"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -37 = 683"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 24x = 720. Divide by 24: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:9 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/9, so B = A × (9/48) = 72 × 9/48 = 13.5.\n</reasoning>\nFinal Answer: 13.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 39 * 34 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×34=1326, then 10+1326-28=1308.\n</reasoning>\nFinal Answer: 1308"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 44 * 1 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×1=44, then 27+44-7=64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 910 ÷ -883"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 910 by -883. 910 ÷ -883 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 82."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 82 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 24 * 20 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×20=480, then 39+480-8=511.\n</reasoning>\nFinal Answer: 511"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 1 * 3 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×3=3, then 12+3-37=-22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 29, 38, 76, 83, 3, 15, 10, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 2, 29: 1, 38: 1, 76: 1, 83: 1, 3: 1, 15: 1, 10: 1}. Most frequent: 24.\n</reasoning>\nFinal Answer: 24"
}
] | easy | [
"statistics",
"mode"
] |
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