messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 253 mod 806"
},
{
"role": "assistant",
"content": "<reasoning>\n253 mod 806: 253 = 806 × 0 + 253, so remainder = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 7, 9, 14, 17, 19] and B = [1, 6, 9, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 9, 17].\n</reasoning>\nFinal Answer: [1, 9, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 9, 11, 13] and B = [3, 5, 7, 9, 12, 13, 14, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 6, 7, 11, 12, 14, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 198 km/h. How far does it travel in 3 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 13/60 = 3.2167 hours. Distance = speed × time = 198 × 3.2167 = 636.9 km.\n</reasoning>\nFinal Answer: 636.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 3 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 43+9-37=15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 406 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 406 × (1 - 65/100) = 406 × 0.35 = 142.1.\n</reasoning>\nFinal Answer: 142.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 7, 9, 10, 14, 15, 18] and B = [1, 6, 9, 11, 14, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 6, 7, 9, 10, 11, 14, 15, 18, 19].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "61 is what percentage of 61?"
},
{
"role": "assistant",
"content": "<reasoning>\n(61/61) × 100 = 100.0%.\n</reasoning>\nFinal Answer: 100.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [79, 12, 87, 36, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 251/5 = 50.2.\n</reasoning>\nFinal Answer: 50.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [51, 21, 44, 67, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 38, 44, 51, 67]. Middle value(s) → median = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -534 ÷ 846"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -534 by 846. -534 ÷ 846 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 723 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 723 × (1 + 60/100) = 723 × 1.6 = 1156.8.\n</reasoning>\nFinal Answer: 1156.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 81 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 81 × 70 = 5670.\n</reasoning>\nFinal Answer: 5670"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 108 + -465"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 108 and -465: 108 + -465 = -357.\n</reasoning>\nFinal Answer: -357"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/2 - 10/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/2 - 10/7. LCD = 14. Result = 99/14.\n</reasoning>\nFinal Answer: 99/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 55, 16, 54, 80, 93, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 55: 1, 16: 1, 54: 1, 80: 1, 93: 1, 73: 1}. Most frequent: [6, 55, 16, 54, 80, 93, 73].\n</reasoning>\nFinal Answer: [6, 55, 16, 54, 80, 93, 73... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 19, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (25-1)×19 = 16 + 456 = 472.\n</reasoning>\nFinal Answer: 472"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 963 + 954"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 963 and 954: 963 + 954 = 1917.\n</reasoning>\nFinal Answer: 1917"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 40, 41, 93, 61, 30, 14, 77, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 14 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (5)x + (-60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 5² - 4×5×-60 = 1225. √discriminant = 35. x = (-(5) ± 35) / (2×5). Solutions: x = 3 or x = -4.\n</reasoning>\nFinal Answer: x = 3 or x = -4"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Ravi has 15 apples and buys 87 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 15 + 87 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 74, 29, 73, 77, 24, 19, 74, 48, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 23, 24, 28, 29, 48, 73, 74, 74, 77]. Middle value(s) → median = 38.5.\n</reasoning>\nFinal Answer: 38.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 8, 12, 13, 18] and B = [1, 2, 5, 14, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 8, 12, 13, 18].\n</reasoning>\nFinal Answer: [6, 8, 12, 13, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [53, 12, 14, 27, 54, 92, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 332/7 = 47.4286.\n</reasoning>\nFinal Answer: 47.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 7/1 - 13/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/1 - 13/8. LCD = 8. Result = 43/8.\n</reasoning>\nFinal Answer: 43/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 236."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 236 by smallest primes repeatedly: 236 = 2 × 2 × 59.\n</reasoning>\nFinal Answer: 2 × 2 × 59"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Ravi has 43 apples and buys 16 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 43 + 16 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -17 = 620"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 13x = 637. Divide by 13: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 35 apples and buys 159 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 35 + 159 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:2 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/2, so B = A × (2/4) = 91 × 2/4 = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 335 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 335 × (1 - 30/100) = 335 × 0.7 = 234.5.\n</reasoning>\nFinal Answer: 234.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [99, 73, 37, 87, 56, 46, 9, 21, 54, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 9, 21, 37, 46, 54, 56, 73, 87, 99]. Middle value(s) → median = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 13 * 27 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×27=351, then 11+351-47=315.\n</reasoning>\nFinal Answer: 315"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1882. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1882 × 12/100 = 225.84. Total = 1882 + 225.84 = 2107.84.\n</reasoning>\nFinal Answer: 2107.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 20 = -724"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 24x = -744. Divide by 24: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -152 × 100"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -152 by 100: -152 × 100 = -15200.\n</reasoning>\nFinal Answer: -15200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 35 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+35) × 45 = 900.0.\n</reasoning>\nFinal Answer: 900.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/3 / 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/3) ÷ (1/7) = (9/3) × (7/1) = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 14 = 134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 3x = 120. Divide by 3: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "68 is what percentage of 79?"
},
{
"role": "assistant",
"content": "<reasoning>\n(68/79) × 100 = 86.0759%.\n</reasoning>\nFinal Answer: 86.0759%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 393 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 393 × (1 - 30/100) = 393 × 0.7 = 275.1.\n</reasoning>\nFinal Answer: 275.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:31 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/31, so B = A × (31/7) = 22 × 31/7 = 97.4286.\n</reasoning>\nFinal Answer: 97.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 311 ÷ -739"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 311 by -739. 311 ÷ -739 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:14 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/14, so B = A × (14/10) = 45 × 14/10 = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 11/5 - 2/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/5 - 2/15. LCD = 15. Result = 31/15.\n</reasoning>\nFinal Answer: 31/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 29 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 32+841-5=868.\n</reasoning>\nFinal Answer: 868"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 41 * 4 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×4=164, then 34+164-16=182.\n</reasoning>\nFinal Answer: 182"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:5 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/5, so B = A × (5/17) = 68 × 5/17 = 20.0.\n</reasoning>\nFinal Answer: 20.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 673 mod -691"
},
{
"role": "assistant",
"content": "<reasoning>\n673 mod -691: 673 = -691 × -1 + -18, so remainder = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 6 + 10 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×6=246 and 10×43=430, then add: 676.\n</reasoning>\nFinal Answer: 676"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [13, 34, 66, 62, 8, 62, 31, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {13: 1, 34: 1, 66: 1, 62: 2, 8: 1, 31: 1, 23: 1}. Most frequent: 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹3130. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3130 × 28/100 = 876.4. Total = 3130 + 876.4 = 4006.4.\n</reasoning>\nFinal Answer: 4006.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 8, 11, 12, 16, 18] and B = [2, 10, 14, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 8, 10, 11, 12, 14, 16, 18, 19].\n</reasoning>\nFinal Answer: [2, 3, 8, 10, 11... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 181 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 181 × (1 - 80/100) = 181 × 0.19999999999999996 = 36.2.\n</reasoning>\nFinal Answer: 36.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 41 + 6 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×41=615 and 6×6=36, then add: 651.\n</reasoning>\nFinal Answer: 651"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 170 and 100."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(170,100) = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 17% of 797?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 797 = (17/100) × 797 = 135.49.\n</reasoning>\nFinal Answer: 135.49"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 437."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 437 by smallest primes repeatedly: 437 = 19 × 23.\n</reasoning>\nFinal Answer: 19 × 23"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 75 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(75+1) = 2×76 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 316 km apart. Their speeds are 77 km/h and 54 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+54=131 km/h. Time = 316/131 = 2.4122 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 0 = -390"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 10x = -390. Divide by 10: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 486 km apart. Their speeds are 93 km/h and 79 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 93+79=172 km/h. Time = 486/172 = 2.8256 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [92, 5, 19, 82, 39, 28, 1, 52, 86, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 479/10 = 47.9.\n</reasoning>\nFinal Answer: 47.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 814 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 814 × (1 + 75/100) = 814 × 1.75 = 1424.5.\n</reasoning>\nFinal Answer: 1424.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 36 = 504"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 26x = 468. Divide by 26: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [25, 65, 17, 71, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 244/5 = 48.8.\n</reasoning>\nFinal Answer: 48.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 14 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 2+196-34=164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 - 7/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/5 - 7/20. LCD = 20. Result = 53/20.\n</reasoning>\nFinal Answer: 53/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 163 apples and buys 34 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 163 + 34 = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 5 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 5 × 86 = 430.\n</reasoning>\nFinal Answer: 430"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -45 = -25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 2x = 20. Divide by 2: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 17 = 30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 13x = 13. Divide by 13: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 34 * 11 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×11=374, then 46+374-40=380.\n</reasoning>\nFinal Answer: 380"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 20% of 48?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 48 = (20/100) × 48 = 9.6.\n</reasoning>\nFinal Answer: 9.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 847 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 847 × (1 + 50/100) = 847 × 1.5 = 1270.5.\n</reasoning>\nFinal Answer: 1270.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14493 at 16% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14493 × 16 × 7 / 100 = 16232.16.\n</reasoning>\nFinal Answer: 16232.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/16 + 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/16 + 19/17. Common denominator = 272. Result = 593/272.\n</reasoning>\nFinal Answer: 593/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 252 ÷ -23"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 252 by -23. 252 ÷ -23 = -11 (integer division).\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×24)/1 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -151 mod 956"
},
{
"role": "assistant",
"content": "<reasoning>\n-151 mod 956: -151 = 956 × -1 + 805, so remainder = 805.\n</reasoning>\nFinal Answer: 805"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -4 = -778"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 18x = -774. Divide by 18: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2997. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2997 × 5/100 = 149.85. Total = 2997 + 149.85 = 3146.85.\n</reasoning>\nFinal Answer: 3146.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 15) * (46 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+15)=43, (46-34)=12, then 43×12=516.\n</reasoning>\nFinal Answer: 516"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 613 ÷ -821"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 613 by -821. 613 ÷ -821 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 4 + 11 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×4=184 and 11×23=253, then add: 437.\n</reasoning>\nFinal Answer: 437"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 806 + 627"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 806 and 627: 806 + 627 = 1433.\n</reasoning>\nFinal Answer: 1433"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "293 is what percentage of 372?"
},
{
"role": "assistant",
"content": "<reasoning>\n(293/372) × 100 = 78.7634%.\n</reasoning>\nFinal Answer: 78.7634%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:9 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/9, so B = A × (9/5) = 62 × 9/5 = 111.6.\n</reasoning>\nFinal Answer: 111.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 53 km/h. How far does it travel in 6 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 17/60 = 6.2833 hours. Distance = speed × time = 53 × 6.2833 = 333.0167 km.\n</reasoning>\nFinal Answer: 333.0167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/2 * 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/2) × (3/5) = (24/10) = 12/5 after simplification.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 14 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 6+196-37=165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 + 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/1 + 17/4. Common denominator = 4. Result = 77/4.\n</reasoning>\nFinal Answer: 77/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate: 10^5"
},
{
"role": "assistant",
"content": "<reasoning>\n10^5 = 10 × 10 × 10 × 10 × 10 = 100000.\n</reasoning>\nFinal Answer: 100000"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 57, 9, 50, 36, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 57: 1, 9: 1, 50: 2, 36: 1}. Most frequent: 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 466 mod 400"
},
{
"role": "assistant",
"content": "<reasoning>\n466 mod 400: 466 = 400 × 1 + 66, so remainder = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [17, 72, 57, 19, 18, 86, 52, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {17: 1, 72: 1, 57: 1, 19: 1, 18: 1, 86: 1, 52: 1, 85: 1}. Most frequent: [17, 72, 57, 19, 18, 86, 52, 85].\n</reasoning>\nFinal Answer: [17, 72,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 8 = -532"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 30x = -540. Divide by 30: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:15 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/15, so B = A × (15/5) = 27 × 15/5 = 81.0.\n</reasoning>\nFinal Answer: 81.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -30 = 56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 2x = 86. Divide by 2: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 187 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 187 × (1 - 17/100) = 187 × 0.83 = 155.21.\n</reasoning>\nFinal Answer: 155.21"
}
] | easy | [
"percentage",
"arithmetic"
] |
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