messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 38 + 1 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×38=1558 and 1×16=16, then add: 1574.\n</reasoning>\nFinal Answer: 1574"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 334 ÷ 586"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 334 by 586. 334 ÷ 586 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 175 mod 841"
},
{
"role": "assistant",
"content": "<reasoning>\n175 mod 841: 175 = 841 × 0 + 175, so remainder = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 44, 42 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (44+42) × 7 = 301.0.\n</reasoning>\nFinal Answer: 301.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:45 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/45, so B = A × (45/48) = 24 × 45/48 = 22.5.\n</reasoning>\nFinal Answer: 22.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 16 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+16) × 32 = 704.0.\n</reasoning>\nFinal Answer: 704.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 163 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 163 × (1 - 45/100) = 163 × 0.55 = 89.65.\n</reasoning>\nFinal Answer: 89.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -545 ÷ -820"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -545 by -820. -545 ÷ -820 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -10 = -206"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 4x = -196. Divide by 4: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [100, 83, 38, 85, 6, 19, 42, 3, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 6, 19, 38, 39, 42, 83, 85, 100]. Middle value(s) → median = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 1/5 / 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/5) ÷ (13/1) = (1/5) × (1/13) = 1/65.\n</reasoning>\nFinal Answer: 1/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 - 6/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/5 - 6/13. LCD = 65. Result = -4/65.\n</reasoning>\nFinal Answer: -4/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 50 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 50 × 23 = 1150.\n</reasoning>\nFinal Answer: 1150"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 17% of 622?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 622 = (17/100) × 622 = 105.74.\n</reasoning>\nFinal Answer: 105.74"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7825 at 18% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7825 × 18 × 6 / 100 = 8451.0.\n</reasoning>\nFinal Answer: 8451.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 119 and 63."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(119,63) = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 6 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 6 = 102 worker-days. New time = 102 / 5 = 20.4 days.\n</reasoning>\nFinal Answer: 20.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 15 = 699"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 19x = 684. Divide by 19: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 213 + -470"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 213 and -470: 213 + -470 = -257.\n</reasoning>\nFinal Answer: -257"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [10, 68, 40, 12, 96, 69, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {10: 1, 68: 1, 40: 1, 12: 1, 96: 1, 69: 1, 70: 1}. Most frequent: [10, 68, 40, 12, 96, 69, 70].\n</reasoning>\nFinal Answer: [10, 68, 40, 12, 96, 69... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 10 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+10) × 21 = 430.5.\n</reasoning>\nFinal Answer: 430.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 437 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 437 × (1 - 12/100) = 437 × 0.88 = 384.56.\n</reasoning>\nFinal Answer: 384.56"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 38 * 29 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×29=1102, then 26+1102-4=1124.\n</reasoning>\nFinal Answer: 1124"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 - 9/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/11 - 9/10. LCD = 110. Result = 1/110.\n</reasoning>\nFinal Answer: 1/110"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [94, 59, 57, 62, 94, 3, 15, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 3 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 6) * (13 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+6)=26, (13-50)=-37, then 26×-37=-962.\n</reasoning>\nFinal Answer: -962"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 68 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 68 × 23 = 1564.\n</reasoning>\nFinal Answer: 1564"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:43 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/43, so B = A × (43/6) = 79 × 43/6 = 566.1667.\n</reasoning>\nFinal Answer: 566.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 703 + 842"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 703 and 842: 703 + 842 = 1545.\n</reasoning>\nFinal Answer: 1545"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 5 mod 499"
},
{
"role": "assistant",
"content": "<reasoning>\n5 mod 499: 5 = 499 × 0 + 5, so remainder = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -906 ÷ -117"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -906 by -117. -906 ÷ -117 = 7 (integer division).\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -100 + -435"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -100 and -435: -100 + -435 = -535.\n</reasoning>\nFinal Answer: -535"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 5, 8, 10, 11, 16, 19] and B = [10, 11, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10, 11].\n</reasoning>\nFinal Answer: [10, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 73 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 73 × 62 = 4526.\n</reasoning>\nFinal Answer: 4526"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/4 / 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/4) ÷ (14/16) = (6/4) × (16/14) = 12/7.\n</reasoning>\nFinal Answer: 12/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -928 + 696"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -928 and 696: -928 + 696 = -232.\n</reasoning>\nFinal Answer: -232"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 * 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/19) × (10/3) = (70/57) = 70/57 after simplification.\n</reasoning>\nFinal Answer: 70/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/13 * 8/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/13) × (8/16) = (128/208) = 8/13 after simplification.\n</reasoning>\nFinal Answer: 8/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 481 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 481 × (1 + 20/100) = 481 × 1.2 = 577.2.\n</reasoning>\nFinal Answer: 577.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 - 6/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/14 - 6/15. LCD = 35. Result = 1/35.\n</reasoning>\nFinal Answer: 1/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -573 + 725"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -573 and 725: -573 + 725 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 52 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(52+70) = 2×122 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25547 at 18% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25547 × 18 × 1 / 100 = 4598.46.\n</reasoning>\nFinal Answer: 4598.46"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 3% of 309?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 309 = (3/100) × 309 = 9.27.\n</reasoning>\nFinal Answer: 9.27"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -12 = 300"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 13x = 312. Divide by 13: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12051 at 4% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12051 × 4 × 1 / 100 = 482.04.\n</reasoning>\nFinal Answer: 482.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -7 × -333"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -7 by -333: -7 × -333 = 2331.\n</reasoning>\nFinal Answer: 2331"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 37 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 35+1369-9=1395.\n</reasoning>\nFinal Answer: 1395"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 221 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 221 × (1 - 60/100) = 221 × 0.4 = 88.4.\n</reasoning>\nFinal Answer: 88.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 4) * (12 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+4)=45, (12-22)=-10, then 45×-10=-450.\n</reasoning>\nFinal Answer: -450"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 30 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 30 × 34 = 510.0.\n</reasoning>\nFinal Answer: 510.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [17, 13, 80, 54, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 17, 46, 54, 80]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 31 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(31+12) = 2×43 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 11 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 11 = 66 worker-days. New time = 66 / 20 = 3.3 days.\n</reasoning>\nFinal Answer: 3.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -650 × 535"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -650 by 535: -650 × 535 = -347750.\n</reasoning>\nFinal Answer: -347750"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "265 is what percentage of 289?"
},
{
"role": "assistant",
"content": "<reasoning>\n(265/289) × 100 = 91.6955%.\n</reasoning>\nFinal Answer: 91.6955%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:33 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/33, so B = A × (33/47) = 96 × 33/47 = 67.4043.\n</reasoning>\nFinal Answer: 67.4043"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -649 ÷ -106"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -649 by -106. -649 ÷ -106 = 6 (integer division).\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 5 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 7+25-6=26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -14 × -100"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -14 by -100: -14 × -100 = 1400.\n</reasoning>\nFinal Answer: 1400"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [90, 21, 58, 7, 36, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 7 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 15, 17, 19] and B = [1, 3, 4, 6, 8, 10, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 4, 5, 6, 8, 10, 15, 17, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 4... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 34) * (21 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+34)=44, (21-2)=19, then 44×19=836.\n</reasoning>\nFinal Answer: 836"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 258 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 258 × (1 + 90/100) = 258 × 1.9 = 490.2.\n</reasoning>\nFinal Answer: 490.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4819. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4819 × 28/100 = 1349.32. Total = 4819 + 1349.32 = 6168.32.\n</reasoning>\nFinal Answer: 6168.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 * 2/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/18) × (2/5) = (12/90) = 2/15 after simplification.\n</reasoning>\nFinal Answer: 2/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/9 / 15/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/9) ÷ (15/15) = (16/9) × (15/15) = 16/9.\n</reasoning>\nFinal Answer: 16/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 663 - -648"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -648 from 663: 663 - -648 = 1311.\n</reasoning>\nFinal Answer: 1311"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -996 - -762"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -762 from -996: -996 - -762 = -234.\n</reasoning>\nFinal Answer: -234"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 123 mod 592"
},
{
"role": "assistant",
"content": "<reasoning>\n123 mod 592: 123 = 592 × 0 + 123, so remainder = 123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -2 mod -575"
},
{
"role": "assistant",
"content": "<reasoning>\n-2 mod -575: -2 = -575 × 0 + -2, so remainder = -2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 94 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 94 × 53 = 2491.0.\n</reasoning>\nFinal Answer: 2491.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:24 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/24, so B = A × (24/18) = 74 × 24/18 = 98.6667.\n</reasoning>\nFinal Answer: 98.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 214 mod 218"
},
{
"role": "assistant",
"content": "<reasoning>\n214 mod 218: 214 = 218 × 0 + 214, so remainder = 214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/15 * 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/15) × (5/3) = (15/45) = 1/3 after simplification.\n</reasoning>\nFinal Answer: 1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 788 ÷ -761"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 788 by -761. 788 ÷ -761 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 21 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 21 = 378 worker-days. New time = 378 / 6 = 63.0 days.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 98 ÷ 510"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 98 by 510. 98 ÷ 510 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/14 * 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/14) × (12/7) = (48/98) = 24/49 after simplification.\n</reasoning>\nFinal Answer: 24/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 94 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 94 × 83 = 7802.\n</reasoning>\nFinal Answer: 7802"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -900 - 848"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 848 from -900: -900 - 848 = -1748.\n</reasoning>\nFinal Answer: -1748"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 825 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 825 × (1 + 3/100) = 825 × 1.03 = 849.75.\n</reasoning>\nFinal Answer: 849.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 31) * (38 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+31)=32, (38-36)=2, then 32×2=64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 426 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 426 × (1 - 15/100) = 426 × 0.85 = 362.1.\n</reasoning>\nFinal Answer: 362.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 18 apples and buys 119 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 18 + 119 = 137.\n</reasoning>\nFinal Answer: 137"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [22, 50, 23, 40, 78, 78, 7, 92, 47, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 22, 23, 40, 47, 50, 77, 78, 78, 92]. Middle value(s) → median = 48.5.\n</reasoning>\nFinal Answer: 48.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "88 is what percentage of 112?"
},
{
"role": "assistant",
"content": "<reasoning>\n(88/112) × 100 = 78.5714%.\n</reasoning>\nFinal Answer: 78.5714%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -19 = 525"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 17x = 544. Divide by 17: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 1, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (30-1)×1 = 45 + 29 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:41 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/41, so B = A × (41/24) = 73 × 41/24 = 124.7083.\n</reasoning>\nFinal Answer: 124.7083"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 * 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/11) × (1/18) = (16/198) = 8/99 after simplification.\n</reasoning>\nFinal Answer: 8/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 2 * 10 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×10=20, then 32+20-17=35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 987 × 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 987 by 29: 987 × 29 = 28623.\n</reasoning>\nFinal Answer: 28623"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 917 km apart. Their speeds are 93 km/h and 77 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 93+77=170 km/h. Time = 917/170 = 5.3941 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 57, 12, 35, 71, 13, 63, 86, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 469/9 = 52.1111.\n</reasoning>\nFinal Answer: 52.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 22, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 22 + 27 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 104 apples and buys 121 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 104 + 121 = 225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 28 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (28×37)/1 = 1036.\n</reasoning>\nFinal Answer: 1036"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 111 apples and buys 172 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 111 + 172 = 283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 5 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 5 = 45 worker-days. New time = 45 / 9 = 5.0 days.\n</reasoning>\nFinal Answer: 5.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
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