messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "A train travels at 153 km/h. How far does it travel in 6 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 13/60 = 6.2167 hours. Distance = speed × time = 153 × 6.2167 = 951.15 km.\n</reasoning>\nFinal Answer: 951.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 26 = -244"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 18x = -270. Divide by 18: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 340 mod 148"
},
{
"role": "assistant",
"content": "<reasoning>\n340 mod 148: 340 = 148 × 2 + 44, so remainder = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:41 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/41, so B = A × (41/21) = 83 × 41/21 = 162.0476.\n</reasoning>\nFinal Answer: 162.0476"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:49 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/49, so B = A × (49/28) = 27 × 49/28 = 47.25.\n</reasoning>\nFinal Answer: 47.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 6/7 - 5/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/7 - 5/18. LCD = 126. Result = 73/126.\n</reasoning>\nFinal Answer: 73/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 285 + 880"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 285 and 880: 285 + 880 = 1165.\n</reasoning>\nFinal Answer: 1165"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 93 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 93 × 66 = 6138.\n</reasoning>\nFinal Answer: 6138"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 7, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (31-1)×7 = 20 + 210 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:22 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/22, so B = A × (22/39) = 33 × 22/39 = 18.6154.\n</reasoning>\nFinal Answer: 18.6154"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 24 = -67"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 7x = -91. Divide by 7: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Is 133 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n133 = 7 × 19, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: 746 ÷ 984"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 746 by 984. 746 ÷ 984 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -16 = -713"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 17x = -697. Divide by 17: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 + 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/11 + 20/14. Common denominator = 77. Result = 201/77.\n</reasoning>\nFinal Answer: 201/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 542 ÷ -936"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 542 by -936. 542 ÷ -936 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -599 × -926"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -599 by -926: -599 × -926 = 554674.\n</reasoning>\nFinal Answer: 554674"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:46 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/46, so B = A × (46/12) = 87 × 46/12 = 333.5.\n</reasoning>\nFinal Answer: 333.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 7, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (12-1)×7 = 41 + 77 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 995 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 995 × (1 - 35/100) = 995 × 0.65 = 646.75.\n</reasoning>\nFinal Answer: 646.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -4 = -448"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 12x = -444. Divide by 12: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 708 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 708 × (1 - 12/100) = 708 × 0.88 = 623.04.\n</reasoning>\nFinal Answer: 623.04"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -646 ÷ 928"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -646 by 928. -646 ÷ 928 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -538 - 919"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 919 from -538: -538 - 919 = -1457.\n</reasoning>\nFinal Answer: -1457"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -20 = 380"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 25x = 400. Divide by 25: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 33, 92, 68, 23, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 33: 1, 92: 1, 68: 1, 23: 1, 100: 1}. Most frequent: [78, 33, 92, 68, 23, 100].\n</reasoning>\nFinal Answer: [78, 33, 92, 68, 23, 100]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 44 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (44×18)/2 = 396.\n</reasoning>\nFinal Answer: 396"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 0 = -576"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 12x = -576. Divide by 12: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -669 - -353"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -353 from -669: -669 - -353 = -316.\n</reasoning>\nFinal Answer: -316"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 48 + 16 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×48=288 and 16×49=784, then add: 1072.\n</reasoning>\nFinal Answer: 1072"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -6 = 1094"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 22x = 1100. Divide by 22: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 333 km apart. Their speeds are 74 km/h and 59 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+59=133 km/h. Time = 333/133 = 2.5038 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 18 * 17 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×17=306, then 46+306-45=307.\n</reasoning>\nFinal Answer: 307"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -982 + 593"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -982 and 593: -982 + 593 = -389.\n</reasoning>\nFinal Answer: -389"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "88 is what percentage of 882?"
},
{
"role": "assistant",
"content": "<reasoning>\n(88/882) × 100 = 9.9773%.\n</reasoning>\nFinal Answer: 9.9773%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "18 is what percentage of 19?"
},
{
"role": "assistant",
"content": "<reasoning>\n(18/19) × 100 = 94.7368%.\n</reasoning>\nFinal Answer: 94.7368%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 1 + 1 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×1=17 and 1×20=20, then add: 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 42 = 182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 28x = 140. Divide by 28: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 10 = -88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 2x = -98. Divide by 2: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3524. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3524 × 28/100 = 986.72. Total = 3524 + 986.72 = 4510.72.\n</reasoning>\nFinal Answer: 4510.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2850 at 9% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2850 × 9 × 7 / 100 = 1795.5.\n</reasoning>\nFinal Answer: 1795.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 49 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+49) × 46 = 2093.0.\n</reasoning>\nFinal Answer: 2093.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 + 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/1 + 6/12. Common denominator = 2. Result = 29/2.\n</reasoning>\nFinal Answer: 29/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:17 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/17, so B = A × (17/40) = 66 × 17/40 = 28.05.\n</reasoning>\nFinal Answer: 28.05"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23192 at 12% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23192 × 12 × 9 / 100 = 25047.36.\n</reasoning>\nFinal Answer: 25047.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [82, 10, 80, 23, 5, 63, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 304/7 = 43.4286.\n</reasoning>\nFinal Answer: 43.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 11 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 5+121-7=119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 140 and 86."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(140,86) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 * 9/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/18) × (9/6) = (135/108) = 5/4 after simplification.\n</reasoning>\nFinal Answer: 5/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -994 × 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -994 by 11: -994 × 11 = -10934.\n</reasoning>\nFinal Answer: -10934"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -562 × 731"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -562 by 731: -562 × 731 = -410822.\n</reasoning>\nFinal Answer: -410822"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 97 and 92."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(97,92) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 35% of 775?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 775 = (35/100) × 775 = 271.25.\n</reasoning>\nFinal Answer: 271.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 57 km/h. How far does it travel in 10 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 9/60 = 10.1500 hours. Distance = speed × time = 57 × 10.1500 = 578.55 km.\n</reasoning>\nFinal Answer: 578.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 268 - -308"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -308 from 268: 268 - -308 = 576.\n</reasoning>\nFinal Answer: 576"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 17 = -703"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 20x = -720. Divide by 20: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -524 mod -255"
},
{
"role": "assistant",
"content": "<reasoning>\n-524 mod -255: -524 = -255 × 2 + -14, so remainder = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 21 apples and buys 142 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 21 + 142 = 163.\n</reasoning>\nFinal Answer: 163"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31755 at 9% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31755 × 9 × 2 / 100 = 5715.9.\n</reasoning>\nFinal Answer: 5715.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 331."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 331 by smallest primes repeatedly: 331 = 331.\n</reasoning>\nFinal Answer: 331"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Decrease 618 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 618 × (1 - 90/100) = 618 × 0.09999999999999998 = 61.8.\n</reasoning>\nFinal Answer: 61.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 58 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 58 × 88 = 5104.\n</reasoning>\nFinal Answer: 5104"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 10, 51, 1, 5, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 10: 1, 51: 1, 1: 1, 5: 1, 43: 1}. Most frequent: [70, 10, 51, 1, 5, 43].\n</reasoning>\nFinal Answer: [70, 10, 51, 1, 5, 43]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 134 + 96"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 134 and 96: 134 + 96 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 978 km apart. Their speeds are 70 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+83=153 km/h. Time = 978/153 = 6.3922 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 44 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 41+1936-49=1928.\n</reasoning>\nFinal Answer: 1928"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 25 + 19 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×25=225 and 19×42=798, then add: 1023.\n</reasoning>\nFinal Answer: 1023"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -815 - -643"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -643 from -815: -815 - -643 = -172.\n</reasoning>\nFinal Answer: -172"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 40 = 248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 16x = 208. Divide by 16: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -820 × 395"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -820 by 395: -820 × 395 = -323900.\n</reasoning>\nFinal Answer: -323900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -718 × 278"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -718 by 278: -718 × 278 = -199604.\n</reasoning>\nFinal Answer: -199604"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 40% of 400?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 400 = (40/100) × 400 = 160.0.\n</reasoning>\nFinal Answer: 160.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 4, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (22-1)×4 = 27 + 84 = 111.\n</reasoning>\nFinal Answer: 111"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 596 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 596 × (1 + 90/100) = 596 × 1.9 = 1132.4.\n</reasoning>\nFinal Answer: 1132.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 24) * (38 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+24)=26, (38-22)=16, then 26×16=416.\n</reasoning>\nFinal Answer: 416"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 18 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 18 = 162 worker-days. New time = 162 / 8 = 20.25 days.\n</reasoning>\nFinal Answer: 20.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 332 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 332 × (1 + 75/100) = 332 × 1.75 = 581.0.\n</reasoning>\nFinal Answer: 581.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 24 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(24+58) = 2×82 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 10% of 265?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 265 = (10/100) × 265 = 26.5.\n</reasoning>\nFinal Answer: 26.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 53 = 1060.0.\n</reasoning>\nFinal Answer: 1060.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 144 ÷ 236"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 144 by 236. 144 ÷ 236 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "74 is what percentage of 312?"
},
{
"role": "assistant",
"content": "<reasoning>\n(74/312) × 100 = 23.7179%.\n</reasoning>\nFinal Answer: 23.7179%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -93 × -454"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -93 by -454: -93 × -454 = 42222.\n</reasoning>\nFinal Answer: 42222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "23 is what percentage of 30?"
},
{
"role": "assistant",
"content": "<reasoning>\n(23/30) × 100 = 76.6667%.\n</reasoning>\nFinal Answer: 76.6667%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -720 ÷ 435"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -720 by 435. -720 ÷ 435 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 1 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+1) × 12 = 132.0.\n</reasoning>\nFinal Answer: 132.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 3 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(3+12) = 2×15 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -35 = 541"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 16x = 576. Divide by 16: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/14 / 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/14) ÷ (15/2) = (7/14) × (2/15) = 1/15.\n</reasoning>\nFinal Answer: 1/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 588 mod -572"
},
{
"role": "assistant",
"content": "<reasoning>\n588 mod -572: 588 = -572 × -2 + -556, so remainder = -556.\n</reasoning>\nFinal Answer: -556"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 46 = 838"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 18x = 792. Divide by 18: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 7, 11, 18] and B = [1, 8, 14, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1].\n</reasoning>\nFinal Answer: [1]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -32 = -18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 2x = 14. Divide by 2: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -10 = -16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 2x = -6. Divide by 2: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 19 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 19 = 133 worker-days. New time = 133 / 8 = 16.625 days.\n</reasoning>\nFinal Answer: 16.625"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:25 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/25, so B = A × (25/33) = 31 × 25/33 = 23.4848.\n</reasoning>\nFinal Answer: 23.4848"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 175 mod -960"
},
{
"role": "assistant",
"content": "<reasoning>\n175 mod -960: 175 = -960 × -1 + -785, so remainder = -785.\n</reasoning>\nFinal Answer: -785"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 938 mod -691"
},
{
"role": "assistant",
"content": "<reasoning>\n938 mod -691: 938 = -691 × -2 + -444, so remainder = -444.\n</reasoning>\nFinal Answer: -444"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 30 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 8+900-43=865.\n</reasoning>\nFinal Answer: 865"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -39 = -444"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 27x = -405. Divide by 27: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
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