messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 17/13 / 1/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/13) ÷ (1/19) = (17/13) × (19/1) = 323/13.\n</reasoning>\nFinal Answer: 323/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 162 ÷ 691"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 162 by 691. 162 ÷ 691 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 53 apples and buys 89 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 53 + 89 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -27 = 53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 16x = 80. Divide by 16: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 203 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 203 × (1 + 75/100) = 203 × 1.75 = 355.25.\n</reasoning>\nFinal Answer: 355.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -804 mod 663"
},
{
"role": "assistant",
"content": "<reasoning>\n-804 mod 663: -804 = 663 × -2 + 522, so remainder = 522.\n</reasoning>\nFinal Answer: 522"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -160 + 237"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -160 and 237: -160 + 237 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 48 × -766"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 48 by -766: 48 × -766 = -36768.\n</reasoning>\nFinal Answer: -36768"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 30 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 30 × 86 = 1290.0.\n</reasoning>\nFinal Answer: 1290.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [11, 13, 16, 17, 19] and B = [1, 6, 7, 8, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 6, 7, 8, 11, 13, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 6, 7, 8, 11, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -27 = -189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 18x = -162. Divide by 18: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 147 and 95."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(147,95) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 10 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 10 = 190 worker-days. New time = 190 / 10 = 19.0 days.\n</reasoning>\nFinal Answer: 19.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 7 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+7) × 21 = 577.5.\n</reasoning>\nFinal Answer: 577.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 100 apples and buys 18 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 100 + 18 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 11, 95, 12, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 12, 24, 92, 95]. Middle value(s) → median = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 14/4 / 9/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/4) ÷ (9/17) = (14/4) × (17/9) = 119/18.\n</reasoning>\nFinal Answer: 119/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 741 + -813"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 741 and -813: 741 + -813 = -72.\n</reasoning>\nFinal Answer: -72"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 959 ÷ -490"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 959 by -490. 959 ÷ -490 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21409 at 9% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21409 × 9 × 5 / 100 = 9634.05.\n</reasoning>\nFinal Answer: 9634.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 - 9/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/9 - 9/15. LCD = 45. Result = 68/45.\n</reasoning>\nFinal Answer: 68/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 40) * (25 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+40)=79, (25-17)=8, then 79×8=632.\n</reasoning>\nFinal Answer: 632"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 151 and 129."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(151,129) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 17 + 12 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×17=527 and 12×45=540, then add: 1067.\n</reasoning>\nFinal Answer: 1067"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 8, 16, 19] and B = [2, 4, 5, 12, 13, 15, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 5, 8, 12, 13, 15, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 57 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 57 × 14 = 399.0.\n</reasoning>\nFinal Answer: 399.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (0)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×5×0 = 0. √discriminant = 0. x = (-(0) ± 0) / (2×5). Solutions: x = 0 (double root).\n</reasoning>\nFinal Answer: x = 0 (double root)"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30010 at 5% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30010 × 5 × 10 / 100 = 15005.0.\n</reasoning>\nFinal Answer: 15005.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 7, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (21-1)×7 = 3 + 140 = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 47 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+47) × 32 = 1184.0.\n</reasoning>\nFinal Answer: 1184.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 42 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 49+1764-29=1784.\n</reasoning>\nFinal Answer: 1784"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 45 and 103."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(45,103) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 44 * 11 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×11=484, then 16+484-19=481.\n</reasoning>\nFinal Answer: 481"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 108 km/h. How far does it travel in 10 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 33/60 = 10.5500 hours. Distance = speed × time = 108 × 10.5500 = 1139.4 km.\n</reasoning>\nFinal Answer: 1139.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-3)x + (2) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -3² - 4×1×2 = 1. √discriminant = 1. x = (-(-3) ± 1) / (2×1). Solutions: x = 1 or x = 2.\n</reasoning>\nFinal Answer: x = 1 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -1 = 475"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 14x = 476. Divide by 14: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -638 × 531"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -638 by 531: -638 × 531 = -338778.\n</reasoning>\nFinal Answer: -338778"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:16 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/16, so B = A × (16/12) = 47 × 16/12 = 62.6667.\n</reasoning>\nFinal Answer: 62.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 3) * (46 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+3)=13, (46-27)=19, then 13×19=247.\n</reasoning>\nFinal Answer: 247"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 + 20/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/15 + 20/4. Common denominator = 3. Result = 19/3.\n</reasoning>\nFinal Answer: 19/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [63, 98, 95, 32, 55, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 32 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 18/11 + 14/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/11 + 14/6. Common denominator = 33. Result = 131/33.\n</reasoning>\nFinal Answer: 131/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 41) * (18 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+41)=53, (18-1)=17, then 53×17=901.\n</reasoning>\nFinal Answer: 901"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4334. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4334 × 18/100 = 780.12. Total = 4334 + 780.12 = 5114.12.\n</reasoning>\nFinal Answer: 5114.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 7, 62, 50, 71, 48, 53, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 424/8 = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "90 is what percentage of 333?"
},
{
"role": "assistant",
"content": "<reasoning>\n(90/333) × 100 = 27.027%.\n</reasoning>\nFinal Answer: 27.027%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:12 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/12, so B = A × (12/25) = 66 × 12/25 = 31.68.\n</reasoning>\nFinal Answer: 31.68"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 21, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 21 + 25 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:6 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/6, so B = A × (6/16) = 72 × 6/16 = 27.0.\n</reasoning>\nFinal Answer: 27.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 182 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 182 × (1 - 20/100) = 182 × 0.8 = 145.6.\n</reasoning>\nFinal Answer: 145.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 55, 60, 31, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 257/5 = 51.4.\n</reasoning>\nFinal Answer: 51.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "491 is what percentage of 876?"
},
{
"role": "assistant",
"content": "<reasoning>\n(491/876) × 100 = 56.0502%.\n</reasoning>\nFinal Answer: 56.0502%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 5 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 5 × 73 = 365.\n</reasoning>\nFinal Answer: 365"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 26 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 26 = 338 worker-days. New time = 338 / 16 = 21.125 days.\n</reasoning>\nFinal Answer: 21.125"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹846. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 846 × 28/100 = 236.88. Total = 846 + 236.88 = 1082.88.\n</reasoning>\nFinal Answer: 1082.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/1 * 20/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/1) × (20/1) = (100/1) = 100 after simplification.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -966 × -539"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -966 by -539: -966 × -539 = 520674.\n</reasoning>\nFinal Answer: 520674"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -600 mod 943"
},
{
"role": "assistant",
"content": "<reasoning>\n-600 mod 943: -600 = 943 × -1 + 343, so remainder = 343.\n</reasoning>\nFinal Answer: 343"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×21)/1 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 27 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(27+69) = 2×96 = 192.\n</reasoning>\nFinal Answer: 192"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-2)x + (-15) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -2² - 4×1×-15 = 64. √discriminant = 8. x = (-(-2) ± 8) / (2×1). Solutions: x = -3 or x = 5.\n</reasoning>\nFinal Answer: x = -3 or x = 5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "An item costs ₹2029. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2029 × 5/100 = 101.45. Total = 2029 + 101.45 = 2130.45.\n</reasoning>\nFinal Answer: 2130.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 98, 81, 58, 50, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 98: 1, 81: 1, 58: 1, 50: 1, 100: 1}. Most frequent: [57, 98, 81, 58, 50, 100].\n</reasoning>\nFinal Answer: [57, 98, 81, 58, 50, 100]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹2479. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2479 × 18/100 = 446.22. Total = 2479 + 446.22 = 2925.22.\n</reasoning>\nFinal Answer: 2925.22"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 27 + 18 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×27=270 and 18×17=306, then add: 576.\n</reasoning>\nFinal Answer: 576"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 17 = 507"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 10x = 490. Divide by 10: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 4, 27, 89, 57, 50, 15, 63, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 4: 1, 27: 1, 89: 1, 57: 1, 50: 1, 15: 1, 63: 1, 5: 1}. Most frequent: [49, 4, 27, 89, 57, 50, 15, 63, 5].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 21 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+21) × 31 = 806.0.\n</reasoning>\nFinal Answer: 806.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 15 = 223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 8x = 208. Divide by 8: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -290 ÷ 119"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -290 by 119. -290 ÷ 119 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 29 + 4 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×29=1305 and 4×48=192, then add: 1497.\n</reasoning>\nFinal Answer: 1497"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -50 = 125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 25x = 175. Divide by 25: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×21)/1 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 92 km/h. How far does it travel in 6 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 0/60 = 6.0000 hours. Distance = speed × time = 92 × 6.0000 = 552.0 km.\n</reasoning>\nFinal Answer: 552.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 18) * (17 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+18)=46, (17-22)=-5, then 46×-5=-230.\n</reasoning>\nFinal Answer: -230"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 2 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 50+4-37=17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 7 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 7 = 91 worker-days. New time = 91 / 16 = 5.6875 days.\n</reasoning>\nFinal Answer: 5.6875"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 19 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 19 × 45 = 855.\n</reasoning>\nFinal Answer: 855"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 100% of 796?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 796 = (100/100) × 796 = 796.0.\n</reasoning>\nFinal Answer: 796.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [51, 14, 71, 76, 11, 99, 9, 14, 69, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 11, 14, 14, 51, 69, 71, 76, 95, 99]. Middle value(s) → median = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 493 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 493 × (1 - 7/100) = 493 × 0.9299999999999999 = 458.49.\n</reasoning>\nFinal Answer: 458.49"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 + 2/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/13 + 2/17. Common denominator = 17. Result = 19/17.\n</reasoning>\nFinal Answer: 19/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 13, 15] and B = [1, 5, 11, 12, 14, 16, 18], 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": "Calculate: -366 × -423"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -366 by -423: -366 × -423 = 154818.\n</reasoning>\nFinal Answer: 154818"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [16, 65, 65, 68, 51, 80, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {16: 1, 65: 2, 68: 1, 51: 1, 80: 1, 30: 1}. Most frequent: 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 389 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 389 × (1 - 75/100) = 389 × 0.25 = 97.25.\n</reasoning>\nFinal Answer: 97.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 * 8/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/17) × (8/10) = (144/170) = 72/85 after simplification.\n</reasoning>\nFinal Answer: 72/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -4 = -308"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 19x = -304. Divide by 19: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 110 apples and buys 24 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 110 + 24 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 188 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 188 × (1 - 35/100) = 188 × 0.65 = 122.2.\n</reasoning>\nFinal Answer: 122.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 / 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/14) ÷ (14/1) = (1/14) × (1/14) = 1/196.\n</reasoning>\nFinal Answer: 1/196"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 644 km apart. Their speeds are 64 km/h and 87 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 64+87=151 km/h. Time = 644/151 = 4.2649 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -38 = 12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 5x = 50. Divide by 5: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 482 - 139"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 139 from 482: 482 - 139 = 343.\n</reasoning>\nFinal Answer: 343"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 39, 69, 55, 6, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 239/6 = 39.8333.\n</reasoning>\nFinal Answer: 39.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 184 and 63."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(184,63) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [2, 9, 15] and B = [1, 2, 5, 8, 13, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2].\n</reasoning>\nFinal Answer: [2]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [39, 57, 75, 93, 111]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 39 and common difference 18. Next term = 111 + 18 = 129.\n</reasoning>\nFinal Answer: 129"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 16 * 9 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×9=144, then 26+144-45=125.\n</reasoning>\nFinal Answer: 125"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 478 × -167"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 478 by -167: 478 × -167 = -79826.\n</reasoning>\nFinal Answer: -79826"
}
] | medium | [
"arithmetic",
"computation"
] |
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