messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 37:47 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/47, so B = A × (47/37) = 97 × 47/37 = 123.2162.\n</reasoning>\nFinal Answer: 123.2162"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 7/15 / 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/15) ÷ (13/15) = (7/15) × (15/13) = 7/13.\n</reasoning>\nFinal Answer: 7/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [31, 35, 68, 89, 10, 73, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 31, 35, 68, 73, 89, 90]. Middle value(s) → median = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "536 is what percentage of 760?"
},
{
"role": "assistant",
"content": "<reasoning>\n(536/760) × 100 = 70.5263%.\n</reasoning>\nFinal Answer: 70.5263%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 38) * (16 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+38)=80, (16-29)=-13, then 80×-13=-1040.\n</reasoning>\nFinal Answer: -1040"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 8, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (18-1)×8 = 22 + 136 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "622 is what percentage of 796?"
},
{
"role": "assistant",
"content": "<reasoning>\n(622/796) × 100 = 78.1407%.\n</reasoning>\nFinal Answer: 78.1407%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 177 apples and buys 41 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 177 + 41 = 218.\n</reasoning>\nFinal Answer: 218"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [99, 84, 88, 95, 29, 4, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 416/7 = 59.4286.\n</reasoning>\nFinal Answer: 59.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -35 = -35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 1x = 0. Divide by 1: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 33 * 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×2=66, then 36+66-38=64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 418."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 418 by smallest primes repeatedly: 418 = 2 × 11 × 19.\n</reasoning>\nFinal Answer: 2 × 11 × 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 81, 33, 47, 14, 80, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 33, 35, 47, 63, 80, 81]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 163 apples and buys 171 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 163 + 171 = 334.\n</reasoning>\nFinal Answer: 334"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 31 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+31) × 10 = 345.0.\n</reasoning>\nFinal Answer: 345.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -12 = 938"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 19x = 950. Divide by 19: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/13 - 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/13 - 20/15. LCD = 39. Result = -37/39.\n</reasoning>\nFinal Answer: -37/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "206 is what percentage of 261?"
},
{
"role": "assistant",
"content": "<reasoning>\n(206/261) × 100 = 78.9272%.\n</reasoning>\nFinal Answer: 78.9272%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 + 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/14 + 15/19. Common denominator = 266. Result = 533/266.\n</reasoning>\nFinal Answer: 533/266"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -963 + 464"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -963 and 464: -963 + 464 = -499.\n</reasoning>\nFinal Answer: -499"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -396 + 790"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -396 and 790: -396 + 790 = 394.\n</reasoning>\nFinal Answer: 394"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 915 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 915 × (1 - 30/100) = 915 × 0.7 = 640.5.\n</reasoning>\nFinal Answer: 640.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -23 = -35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 4x = -12. Divide by 4: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [68, 79, 99, 61, 87, 27, 98, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 590/8 = 73.75.\n</reasoning>\nFinal Answer: 73.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 38, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 38 + 38 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 7/6 / 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/6) ÷ (2/7) = (7/6) × (7/2) = 49/12.\n</reasoning>\nFinal Answer: 49/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/8 + 1/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/8 + 1/11. Common denominator = 88. Result = 173/88.\n</reasoning>\nFinal Answer: 173/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -13 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 1x = -23. Divide by 1: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 84, 61, 39, 93, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 84: 1, 61: 1, 39: 1, 93: 1, 19: 1}. Most frequent: [91, 84, 61, 39, 93, 19].\n</reasoning>\nFinal Answer: [91, 84, 61, 39, 93, 19]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 31 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 42+961-25=978.\n</reasoning>\nFinal Answer: 978"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -404 + 25"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -404 and 25: -404 + 25 = -379.\n</reasoning>\nFinal Answer: -379"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×31)/1 = 713.\n</reasoning>\nFinal Answer: 713"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -2 ÷ 800"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -2 by 800. -2 ÷ 800 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 25% of 871?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 871 = (25/100) × 871 = 217.75.\n</reasoning>\nFinal Answer: 217.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 49 km/h. How far does it travel in 3 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 56/60 = 3.9333 hours. Distance = speed × time = 49 × 3.9333 = 192.7333 km.\n</reasoning>\nFinal Answer: 192.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [16, 31, 46, 61, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 16 and common difference 15. Next term = 76 + 15 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -226 × 467"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -226 by 467: -226 × 467 = -105542.\n</reasoning>\nFinal Answer: -105542"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 899 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 899 × (1 + 60/100) = 899 × 1.6 = 1438.4.\n</reasoning>\nFinal Answer: 1438.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 49 = 223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 6x = 174. Divide by 6: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 32 = 253"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 17x = 221. Divide by 17: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/12 * 13/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/12) × (13/9) = (117/108) = 13/12 after simplification.\n</reasoning>\nFinal Answer: 13/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [36, 23, 39, 88, 94, 75, 76, 4, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 4 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 1 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 32+1-37=-4.\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 26 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 26 × 38 = 494.0.\n</reasoning>\nFinal Answer: 494.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -733 ÷ -963"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -733 by -963. -733 ÷ -963 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -275 + 640"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -275 and 640: -275 + 640 = 365.\n</reasoning>\nFinal Answer: 365"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 130 + 104"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 130 and 104: 130 + 104 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 10, 15, 20, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 5 and common difference 5. Next term = 25 + 5 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -49 = 434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 23x = 483. Divide by 23: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 13 + 6 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×13=403 and 6×9=54, then add: 457.\n</reasoning>\nFinal Answer: 457"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -960 + -469"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -960 and -469: -960 + -469 = -1429.\n</reasoning>\nFinal Answer: -1429"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 77, 64, 51, 80, 29, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 21 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 14 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 50+196-20=226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 18) * (2 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+18)=23, (2-44)=-42, then 23×-42=-966.\n</reasoning>\nFinal Answer: -966"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 171 km apart. Their speeds are 95 km/h and 54 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 95+54=149 km/h. Time = 171/149 = 1.1477 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 60% of 120?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 120 = (60/100) × 120 = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "109 is what percentage of 498?"
},
{
"role": "assistant",
"content": "<reasoning>\n(109/498) × 100 = 21.8876%.\n</reasoning>\nFinal Answer: 21.8876%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [12, 16, 19] and B = [1, 2, 9, 12, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [16, 19].\n</reasoning>\nFinal Answer: [16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 29 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 29 = 116 worker-days. New time = 116 / 3 = 38.6667 days.\n</reasoning>\nFinal Answer: 38.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49887 at 18% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49887 × 18 × 5 / 100 = 44898.3.\n</reasoning>\nFinal Answer: 44898.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:8 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/8, so B = A × (8/34) = 53 × 8/34 = 12.4706.\n</reasoning>\nFinal Answer: 12.4706"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -651 + -904"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -651 and -904: -651 + -904 = -1555.\n</reasoning>\nFinal Answer: -1555"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-28)x + (24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -28² - 4×4×24 = 400. √discriminant = 20. x = (-(-28) ± 20) / (2×4). Solutions: x = 1 or x = 6.\n</reasoning>\nFinal Answer: x = 1 or x = 6"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 11, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (48-1)×11 = 48 + 517 = 565.\n</reasoning>\nFinal Answer: 565"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 2 = 964"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 26x = 962. Divide by 26: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [76, 34, 16, 96, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 32, 34, 76, 96]. Middle value(s) → median = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 18 + 7 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×18=774 and 7×42=294, then add: 1068.\n</reasoning>\nFinal Answer: 1068"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 70% of 930?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 930 = (70/100) × 930 = 651.0.\n</reasoning>\nFinal Answer: 651.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/15 * 19/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/15) × (19/11) = (171/165) = 57/55 after simplification.\n</reasoning>\nFinal Answer: 57/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/15 / 13/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/15) ÷ (13/19) = (7/15) × (19/13) = 133/195.\n</reasoning>\nFinal Answer: 133/195"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 19 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 19 = 380 worker-days. New time = 380 / 16 = 23.75 days.\n</reasoning>\nFinal Answer: 23.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -725 + 215"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -725 and 215: -725 + 215 = -510.\n</reasoning>\nFinal Answer: -510"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20013 at 15% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20013 × 15 × 10 / 100 = 30019.5.\n</reasoning>\nFinal Answer: 30019.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 2 = -368"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 10x = -370. Divide by 10: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -630 ÷ 490"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -630 by 490. -630 ÷ 490 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 110 and 84."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(110,84) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹2751. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2751 × 28/100 = 770.28. Total = 2751 + 770.28 = 3521.28.\n</reasoning>\nFinal Answer: 3521.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 65 = 5005.\n</reasoning>\nFinal Answer: 5005"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [21, 34, 47, 60, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 21 and common difference 13. Next term = 73 + 13 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 96, 60, 20, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 270/5 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 68 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 68 × 70 = 4760.\n</reasoning>\nFinal Answer: 4760"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -30 = -98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 17x = -68. Divide by 17: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 23 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(23+2) = 2×25 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:23 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/23, so B = A × (23/20) = 64 × 23/20 = 73.6.\n</reasoning>\nFinal Answer: 73.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [5, 12, 19] and B = [10, 12, 14, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 19].\n</reasoning>\nFinal Answer: [5, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 69 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 69 × 67 = 4623.\n</reasoning>\nFinal Answer: 4623"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/10 * 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/10) × (13/18) = (247/180) = 247/180 after simplification.\n</reasoning>\nFinal Answer: 247/180"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -697 - -664"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -664 from -697: -697 - -664 = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 216 ÷ 515"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 216 by 515. 216 ÷ 515 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 32 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 9+1024-11=1022.\n</reasoning>\nFinal Answer: 1022"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 135 km/h. How far does it travel in 1 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 12/60 = 1.2000 hours. Distance = speed × time = 135 × 1.2000 = 162.0 km.\n</reasoning>\nFinal Answer: 162.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 100% of 496?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 496 = (100/100) × 496 = 496.0.\n</reasoning>\nFinal Answer: 496.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/19 * 7/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/19) × (7/1) = (56/19) = 56/19 after simplification.\n</reasoning>\nFinal Answer: 56/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 41 km/h. How far does it travel in 2 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 56/60 = 2.9333 hours. Distance = speed × time = 41 × 2.9333 = 120.2667 km.\n</reasoning>\nFinal Answer: 120.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 332 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 332 × (1 - 3/100) = 332 × 0.97 = 322.04.\n</reasoning>\nFinal Answer: 322.04"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -840 mod -118"
},
{
"role": "assistant",
"content": "<reasoning>\n-840 mod -118: -840 = -118 × 7 + -14, so remainder = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 822 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 822 × (1 + 40/100) = 822 × 1.4 = 1150.8.\n</reasoning>\nFinal Answer: 1150.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "419 is what percentage of 682?"
},
{
"role": "assistant",
"content": "<reasoning>\n(419/682) × 100 = 61.437%.\n</reasoning>\nFinal Answer: 61.437%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 48 = -32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 20x = -80. Divide by 20: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 833 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 833 × (1 + 30/100) = 833 × 1.3 = 1082.9.\n</reasoning>\nFinal Answer: 1082.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
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