messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 65 = 3315.\n</reasoning>\nFinal Answer: 3315"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 49, 81, 33, 57, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 20 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -23 = -118"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 5x = -95. Divide by 5: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 41) * (31 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+41)=87, (31-12)=19, then 87×19=1653.\n</reasoning>\nFinal Answer: 1653"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 420 + 51"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 420 and 51: 420 + 51 = 471.\n</reasoning>\nFinal Answer: 471"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 274."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 274 by smallest primes repeatedly: 274 = 2 × 137.\n</reasoning>\nFinal Answer: 2 × 137"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Ravi has 45 apples and buys 17 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 45 + 17 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 80 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from 80: 80 - 31 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 899 - 135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 135 from 899: 899 - 135 = 764.\n</reasoning>\nFinal Answer: 764"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 48 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 48 × 45 = 1080.0.\n</reasoning>\nFinal Answer: 1080.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 983 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 983 × (1 - 65/100) = 983 × 0.35 = 344.05.\n</reasoning>\nFinal Answer: 344.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "34 is what percentage of 124?"
},
{
"role": "assistant",
"content": "<reasoning>\n(34/124) × 100 = 27.4194%.\n</reasoning>\nFinal Answer: 27.4194%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 709 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 709 × (1 - 65/100) = 709 × 0.35 = 248.15.\n</reasoning>\nFinal Answer: 248.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:35 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/35, so B = A × (35/26) = 28 × 35/26 = 37.6923.\n</reasoning>\nFinal Answer: 37.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 45 = 465"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 20x = 420. Divide by 20: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 41 = -510"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 19x = -551. Divide by 19: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 686 mod -96"
},
{
"role": "assistant",
"content": "<reasoning>\n686 mod -96: 686 = -96 × -8 + -82, so remainder = -82.\n</reasoning>\nFinal Answer: -82"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "52 is what percentage of 563?"
},
{
"role": "assistant",
"content": "<reasoning>\n(52/563) × 100 = 9.2362%.\n</reasoning>\nFinal Answer: 9.2362%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 572 × 105"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 572 by 105: 572 × 105 = 60060.\n</reasoning>\nFinal Answer: 60060"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1320. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1320 × 5/100 = 66.0. Total = 1320 + 66.0 = 1386.0.\n</reasoning>\nFinal Answer: 1386.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [46, 65, 84, 103, 122]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 46 and common difference 19. Next term = 122 + 19 = 141.\n</reasoning>\nFinal Answer: 141"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -32 = -157"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 25x = -125. Divide by 25: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 2 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 49+4-9=44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [8, 13, 16] and B = [4, 5, 13, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 8, 15, 16, 18].\n</reasoning>\nFinal Answer: [4, 5, 8, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 18/3 * 20/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/3) × (20/16) = (360/48) = 15/2 after simplification.\n</reasoning>\nFinal Answer: 15/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [10, 58, 33, 96, 27, 28, 75, 12, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {10: 1, 58: 1, 33: 1, 96: 1, 27: 1, 28: 1, 75: 1, 12: 1, 21: 1}. Most frequent: [10, 58, 33, 96, 27, 28, 75, 12, 21].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹1252. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1252 × 12/100 = 150.24. Total = 1252 + 150.24 = 1402.24.\n</reasoning>\nFinal Answer: 1402.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2011. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2011 × 12/100 = 241.32. Total = 2011 + 241.32 = 2252.32.\n</reasoning>\nFinal Answer: 2252.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -7 = -127"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 3x = -120. Divide by 3: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 42 and 92."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(42,92) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 2 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+2) × 42 = 168.0.\n</reasoning>\nFinal Answer: 168.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [49, 66, 83, 100, 117]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 49 and common difference 17. Next term = 117 + 17 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 40, 3, 92, 3, 99, 58, 79, 36, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 521/10 = 52.1.\n</reasoning>\nFinal Answer: 52.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 19, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (37-1)×19 = 6 + 684 = 690.\n</reasoning>\nFinal Answer: 690"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 29 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+29) × 47 = 1269.0.\n</reasoning>\nFinal Answer: 1269.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 210 - 489"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 489 from 210: 210 - 489 = -279.\n</reasoning>\nFinal Answer: -279"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 6, 7, 10, 11, 16, 18] and B = [4, 6, 13, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 7, 10, 11, 16, 18].\n</reasoning>\nFinal Answer: [5, 7, 10, 11, 16, 18]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 67, 90, 32, 57, 31, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [31, 32, 45, 46, 57, 67, 90]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 25% of 960?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 960 = (25/100) × 960 = 240.0.\n</reasoning>\nFinal Answer: 240.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [85, 66, 47, 56, 100, 85, 25, 77, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 633/9 = 70.3333.\n</reasoning>\nFinal Answer: 70.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 64 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 64 × 12 = 768.\n</reasoning>\nFinal Answer: 768"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 178 apples and buys 83 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 178 + 83 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 117 apples and buys 90 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 117 + 90 = 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 4 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 45+16-15=46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -35 = -2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 1x = 33. Divide by 1: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 9 × 793"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 9 by 793: 9 × 793 = 7137.\n</reasoning>\nFinal Answer: 7137"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 22) * (45 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+22)=66, (45-26)=19, then 66×19=1254.\n</reasoning>\nFinal Answer: 1254"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 18 = -213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 7x = -231. Divide by 7: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [23, 74, 48, 37, 94, 13, 41, 81, 44, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {23: 1, 74: 1, 48: 1, 37: 1, 94: 1, 13: 1, 41: 1, 81: 1, 44: 1, 61: 1}. Most frequent: [23, 74, 48, 37, 94, 13, 41, 81, 44, 61].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Is 32 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n32 = 2 × 16, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 942 km apart. Their speeds are 41 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+101=142 km/h. Time = 942/142 = 6.6338 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 23) * (10 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+23)=54, (10-35)=-25, then 54×-25=-1350.\n</reasoning>\nFinal Answer: -1350"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:33 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/33, so B = A × (33/30) = 78 × 33/30 = 85.8.\n</reasoning>\nFinal Answer: 85.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -282 mod -411"
},
{
"role": "assistant",
"content": "<reasoning>\n-282 mod -411: -282 = -411 × 0 + -282, so remainder = -282.\n</reasoning>\nFinal Answer: -282"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/5 - 19/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/5 - 19/3. LCD = 15. Result = -74/15.\n</reasoning>\nFinal Answer: -74/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 25 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 47+625-26=646.\n</reasoning>\nFinal Answer: 646"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 17 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(17+9) = 2×26 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 134 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(134,42) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 70% of 166?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 166 = (70/100) × 166 = 116.2.\n</reasoning>\nFinal Answer: 116.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37966 at 8% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37966 × 8 × 2 / 100 = 6074.56.\n</reasoning>\nFinal Answer: 6074.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 - 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/18 - 6/12. LCD = 6. Result = -1/6.\n</reasoning>\nFinal Answer: -1/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -40 = 266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 9x = 306. Divide by 9: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 10 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 10 × 11 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:41 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/41, so B = A × (41/14) = 37 × 41/14 = 108.3571.\n</reasoning>\nFinal Answer: 108.3571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "485 is what percentage of 985?"
},
{
"role": "assistant",
"content": "<reasoning>\n(485/985) × 100 = 49.2386%.\n</reasoning>\nFinal Answer: 49.2386%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:6 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/6, so B = A × (6/14) = 32 × 6/14 = 13.7143.\n</reasoning>\nFinal Answer: 13.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 94 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 94 × 30 = 2820.\n</reasoning>\nFinal Answer: 2820"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/19 * 11/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/19) × (11/20) = (33/380) = 33/380 after simplification.\n</reasoning>\nFinal Answer: 33/380"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 7 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 7 = 42 worker-days. New time = 42 / 19 = 2.2105 days.\n</reasoning>\nFinal Answer: 2.2105"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/16 - 10/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/16 - 10/12. LCD = 12. Result = -1/12.\n</reasoning>\nFinal Answer: -1/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 38 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 38 × 92 = 1748.0.\n</reasoning>\nFinal Answer: 1748.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 26, 97, 7, 89, 67, 89, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 505/8 = 63.125.\n</reasoning>\nFinal Answer: 63.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 11 = -122"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 19x = -133. Divide by 19: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31496 at 12% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31496 × 12 × 4 / 100 = 15118.08.\n</reasoning>\nFinal Answer: 15118.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 17 = -3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 1x = -20. Divide by 1: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 24, 53, 32, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 32, 44, 47, 53]. Middle value(s) → median = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 42 = 858"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 17x = 816. Divide by 17: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 43, 86, 80, 37, 69, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 2, 43: 1, 86: 1, 80: 1, 37: 1, 30: 1}. Most frequent: 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 36 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+36) × 30 = 1155.0.\n</reasoning>\nFinal Answer: 1155.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [4, 21, 38, 55, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 4 and common difference 17. Next term = 72 + 17 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "131 is what percentage of 613?"
},
{
"role": "assistant",
"content": "<reasoning>\n(131/613) × 100 = 21.3703%.\n</reasoning>\nFinal Answer: 21.3703%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 7 + 30 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×7=91 and 30×21=630, then add: 721.\n</reasoning>\nFinal Answer: 721"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -774 mod 445"
},
{
"role": "assistant",
"content": "<reasoning>\n-774 mod 445: -774 = 445 × -2 + 116, so remainder = 116.\n</reasoning>\nFinal Answer: 116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 340 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 340 × (1 + 10/100) = 340 × 1.1 = 374.0.\n</reasoning>\nFinal Answer: 374.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:36 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/36, so B = A × (36/15) = 95 × 36/15 = 228.0.\n</reasoning>\nFinal Answer: 228.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 63 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 63 × 36 = 1134.0.\n</reasoning>\nFinal Answer: 1134.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [64, 12, 31, 69, 87, 74, 68, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 31, 64, 68, 69, 74, 87, 99]. Middle value(s) → median = 68.5.\n</reasoning>\nFinal Answer: 68.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 20/17 / 8/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/17) ÷ (8/18) = (20/17) × (18/8) = 45/17.\n</reasoning>\nFinal Answer: 45/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 769 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 769 × (1 - 15/100) = 769 × 0.85 = 653.65.\n</reasoning>\nFinal Answer: 653.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 76 apples and buys 167 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 76 + 167 = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 582 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 582 × (1 + 100/100) = 582 × 2.0 = 1164.0.\n</reasoning>\nFinal Answer: 1164.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 7 * 39 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×39=273, then 16+273-4=285.\n</reasoning>\nFinal Answer: 285"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [47, 35, 16, 91, 96, 86, 14, 95, 7, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 7 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [27, 55, 60, 64, 36, 84, 18, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 18, 27, 36, 55, 60, 64, 84]. Middle value(s) → median = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -794 - 478"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 478 from -794: -794 - 478 = -1272.\n</reasoning>\nFinal Answer: -1272"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:35 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/35, so B = A × (35/25) = 91 × 35/25 = 127.4.\n</reasoning>\nFinal Answer: 127.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 12 = 39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 3x = 27. Divide by 3: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:26 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/26, so B = A × (26/31) = 3 × 26/31 = 2.5161.\n</reasoning>\nFinal Answer: 2.5161"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:8 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/8, so B = A × (8/47) = 99 × 8/47 = 16.8511.\n</reasoning>\nFinal Answer: 16.8511"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹4778. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4778 × 5/100 = 238.9. Total = 4778 + 238.9 = 5016.9.\n</reasoning>\nFinal Answer: 5016.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
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