messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 24x + 36 = 756"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 24x = 720. Divide by 24: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "149 is what percentage of 962?"
},
{
"role": "assistant",
"content": "<reasoning>\n(149/962) × 100 = 15.4886%.\n</reasoning>\nFinal Answer: 15.4886%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [4, 12, 16, 19] and B = [2, 7, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [16].\n</reasoning>\nFinal Answer: [16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 19 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 19 = 209 worker-days. New time = 209 / 6 = 34.8333 days.\n</reasoning>\nFinal Answer: 34.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 14 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+14) × 22 = 275.0.\n</reasoning>\nFinal Answer: 275.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -461 × 502"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -461 by 502: -461 × 502 = -231422.\n</reasoning>\nFinal Answer: -231422"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 36 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 36 × 96 = 1728.0.\n</reasoning>\nFinal Answer: 1728.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [37, 22, 47, 65, 45, 88, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 37, 45, 47, 55, 65, 88]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 49 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+49) × 50 = 2175.0.\n</reasoning>\nFinal Answer: 2175.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "147 is what percentage of 778?"
},
{
"role": "assistant",
"content": "<reasoning>\n(147/778) × 100 = 18.8946%.\n</reasoning>\nFinal Answer: 18.8946%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 104 × -167"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 104 by -167: 104 × -167 = -17368.\n</reasoning>\nFinal Answer: -17368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 319."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 319 by smallest primes repeatedly: 319 = 11 × 29.\n</reasoning>\nFinal Answer: 11 × 29"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "An item costs ₹3084. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3084 × 12/100 = 370.08. Total = 3084 + 370.08 = 3454.08.\n</reasoning>\nFinal Answer: 3454.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [17, 26, 35, 44, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 17 and common difference 9. Next term = 53 + 9 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 422 km apart. Their speeds are 104 km/h and 100 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+100=204 km/h. Time = 422/204 = 2.0686 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/1 / 11/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/1) ÷ (11/10) = (13/1) × (10/11) = 130/11.\n</reasoning>\nFinal Answer: 130/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1310. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1310 × 12/100 = 157.2. Total = 1310 + 157.2 = 1467.2.\n</reasoning>\nFinal Answer: 1467.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 29 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (29×16)/1 = 464.\n</reasoning>\nFinal Answer: 464"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 6 = -554"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 16x = -560. Divide by 16: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 184 and 122."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(184,122) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -735 mod 112"
},
{
"role": "assistant",
"content": "<reasoning>\n-735 mod 112: -735 = 112 × -7 + 49, so remainder = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:1 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/1, so B = A × (1/16) = 49 × 1/16 = 3.0625.\n</reasoning>\nFinal Answer: 3.0625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 27 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 27 × 18 = 486.\n</reasoning>\nFinal Answer: 486"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 11/3 / 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/3) ÷ (7/12) = (11/3) × (12/7) = 44/7.\n</reasoning>\nFinal Answer: 44/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 6 apples and buys 150 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 6 + 150 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 116 km/h. How far does it travel in 8 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 33/60 = 8.5500 hours. Distance = speed × time = 116 × 8.5500 = 991.8 km.\n</reasoning>\nFinal Answer: 991.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 7% of 344?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 344 = (7/100) × 344 = 24.08.\n</reasoning>\nFinal Answer: 24.08"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 350 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 350 × (1 + 90/100) = 350 × 1.9 = 665.0.\n</reasoning>\nFinal Answer: 665.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3238. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3238 × 5/100 = 161.9. Total = 3238 + 161.9 = 3399.9.\n</reasoning>\nFinal Answer: 3399.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 442 ÷ 57"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 442 by 57. 442 ÷ 57 = 7 (integer division).\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 76 and 56."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(76,56) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -23 = -71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 16x = -48. Divide by 16: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 30 = 33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 3x = 3. Divide by 3: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 595 - -194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -194 from 595: 595 - -194 = 789.\n</reasoning>\nFinal Answer: 789"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 12 + 43 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×12=192 and 43×20=860, then add: 1052.\n</reasoning>\nFinal Answer: 1052"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -47 = -190"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 11x = -143. Divide by 11: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-15)x + (-350) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×5×-350 = 7225. √discriminant = 85. x = (-(-15) ± 85) / (2×5). Solutions: x = -7 or x = 10.\n</reasoning>\nFinal Answer: x = -7 or x ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 - 13/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/5 - 13/6. LCD = 30. Result = 43/30.\n</reasoning>\nFinal Answer: 43/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 31 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 31 × 23 = 356.5.\n</reasoning>\nFinal Answer: 356.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -873 + 518"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -873 and 518: -873 + 518 = -355.\n</reasoning>\nFinal Answer: -355"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 74, 95, 68, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 10 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 638 mod 297"
},
{
"role": "assistant",
"content": "<reasoning>\n638 mod 297: 638 = 297 × 2 + 44, so remainder = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 - 13/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/13 - 13/17. LCD = 221. Result = -118/221.\n</reasoning>\nFinal Answer: -118/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 47 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 6+2209-18=2197.\n</reasoning>\nFinal Answer: 2197"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 50 = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 2x = -50. Divide by 2: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 541 + -557"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 541 and -557: 541 + -557 = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 15 mod -958"
},
{
"role": "assistant",
"content": "<reasoning>\n15 mod -958: 15 = -958 × -1 + -943, so remainder = -943.\n</reasoning>\nFinal Answer: -943"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 15 = 447"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 12x = 432. Divide by 12: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:17 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/17, so B = A × (17/47) = 20 × 17/47 = 7.234.\n</reasoning>\nFinal Answer: 7.234"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 19, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (37-1)×19 = 38 + 684 = 722.\n</reasoning>\nFinal Answer: 722"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 27 = 195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 28x = 168. Divide by 28: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 15, 16] and B = [2, 3, 6, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [15].\n</reasoning>\nFinal Answer: [15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 118 km/h. How far does it travel in 9 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 50/60 = 9.8333 hours. Distance = speed × time = 118 × 9.8333 = 1160.3333 km.\n</reasoning>\nFinal Answer: 1160.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 30 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 29+900-47=882.\n</reasoning>\nFinal Answer: 882"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 157 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 157 × (1 + 80/100) = 157 × 1.8 = 282.6.\n</reasoning>\nFinal Answer: 282.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 8) * (20 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+8)=56, (20-49)=-29, then 56×-29=-1624.\n</reasoning>\nFinal Answer: -1624"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:36 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/36, so B = A × (36/22) = 40 × 36/22 = 65.4545.\n</reasoning>\nFinal Answer: 65.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 821 - -826"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -826 from 821: 821 - -826 = 1647.\n</reasoning>\nFinal Answer: 1647"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 29, 28, 13, 97, 85, 99, 23, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 523/9 = 58.1111.\n</reasoning>\nFinal Answer: 58.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 173 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 173 × (1 + 20/100) = 173 × 1.2 = 207.6.\n</reasoning>\nFinal Answer: 207.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 10, 13, 14, 15, 17, 18] and B = [3, 9, 12, 13, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 7, 9, 10, 12, 13, 14, 15, 17, 18].\n</reasoning>\nFinal Answer: [2, 3... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [30, 24, 71, 71, 73, 47, 45, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 30, 45, 47, 62, 71, 71, 73]. Middle value(s) → median = 54.5.\n</reasoning>\nFinal Answer: 54.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [4, 14, 19] and B = [1, 8, 11, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 8, 11, 12, 14, 19].\n</reasoning>\nFinal Answer: [1, 4, 8, 11, 12, 14, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -90 ÷ 551"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -90 by 551. -90 ÷ 551 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 11 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 11 = 209 worker-days. New time = 209 / 7 = 29.8571 days.\n</reasoning>\nFinal Answer: 29.8571"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 55, 93, 39, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 27, 39, 55, 93]. Middle value(s) → median = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A bag has 2 red and 6 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 2/8 = 0.25.\n</reasoning>\nFinal Answer: 0.25"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 15 + 8 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×15=210 and 8×15=120, then add: 330.\n</reasoning>\nFinal Answer: 330"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 75 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 75 × 35 = 2625.\n</reasoning>\nFinal Answer: 2625"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 60% of 730?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 730 = (60/100) × 730 = 438.0.\n</reasoning>\nFinal Answer: 438.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 7, 11, 15, 19] and B = [3, 4, 6, 11, 13, 15, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 7, 19].\n</reasoning>\nFinal Answer: [2, 7, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -48 = -750"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 27x = -702. Divide by 27: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 36 and common difference 15, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 36 + (48-1)×15 = 36 + 705 = 741.\n</reasoning>\nFinal Answer: 741"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:27 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/27, so B = A × (27/28) = 98 × 27/28 = 94.5.\n</reasoning>\nFinal Answer: 94.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31376 at 11% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31376 × 11 × 6 / 100 = 20708.16.\n</reasoning>\nFinal Answer: 20708.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [40, 86, 95, 7, 5, 82, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 346/7 = 49.4286.\n</reasoning>\nFinal Answer: 49.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 16/16 + 12/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/16 + 12/4. Common denominator = 1. Result = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:42 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/42, so B = A × (42/47) = 71 × 42/47 = 63.4468.\n</reasoning>\nFinal Answer: 63.4468"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -104 + -412"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -104 and -412: -104 + -412 = -516.\n</reasoning>\nFinal Answer: -516"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3068. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3068 × 5/100 = 153.4. Total = 3068 + 153.4 = 3221.4.\n</reasoning>\nFinal Answer: 3221.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 7 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 7 = 49 worker-days. New time = 49 / 18 = 2.7222 days.\n</reasoning>\nFinal Answer: 2.7222"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -575 × -199"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -575 by -199: -575 × -199 = 114425.\n</reasoning>\nFinal Answer: 114425"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 601?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 601 = (7/100) × 601 = 42.07.\n</reasoning>\nFinal Answer: 42.07"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 10 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+10) × 3 = 61.5.\n</reasoning>\nFinal Answer: 61.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 81 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 81 × 16 = 1296.\n</reasoning>\nFinal Answer: 1296"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 9) * (33 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+9)=59, (33-50)=-17, then 59×-17=-1003.\n</reasoning>\nFinal Answer: -1003"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 620 mod 449"
},
{
"role": "assistant",
"content": "<reasoning>\n620 mod 449: 620 = 449 × 1 + 171, so remainder = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "214 is what percentage of 571?"
},
{
"role": "assistant",
"content": "<reasoning>\n(214/571) × 100 = 37.4781%.\n</reasoning>\nFinal Answer: 37.4781%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 13 + 23 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×13=338 and 23×35=805, then add: 1143.\n</reasoning>\nFinal Answer: 1143"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 22 * 32 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×32=704, then 36+704-32=708.\n</reasoning>\nFinal Answer: 708"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 39 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 39 × 34 = 663.0.\n</reasoning>\nFinal Answer: 663.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 884 ÷ -7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 884 by -7. 884 ÷ -7 = -127 (integer division).\n</reasoning>\nFinal Answer: -127"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 15, 19] and B = [5, 9, 13, 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": "Simplify: 18/6 + 17/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/6 + 17/1. Common denominator = 1. Result = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×11)/1 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 11/16 / 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/16) ÷ (3/20) = (11/16) × (20/3) = 55/12.\n</reasoning>\nFinal Answer: 55/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 457 mod 76"
},
{
"role": "assistant",
"content": "<reasoning>\n457 mod 76: 457 = 76 × 6 + 1, so remainder = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 310 + -469"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 310 and -469: 310 + -469 = -159.\n</reasoning>\nFinal Answer: -159"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "302 is what percentage of 744?"
},
{
"role": "assistant",
"content": "<reasoning>\n(302/744) × 100 = 40.5914%.\n</reasoning>\nFinal Answer: 40.5914%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16536 at 1% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16536 × 1 × 7 / 100 = 1157.52.\n</reasoning>\nFinal Answer: 1157.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
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