messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 4, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (42-1)×4 = 28 + 164 = 192.\n</reasoning>\nFinal Answer: 192"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 197 apples and buys 165 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 197 + 165 = 362.\n</reasoning>\nFinal Answer: 362"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:43 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/43, so B = A × (43/47) = 89 × 43/47 = 81.4255.\n</reasoning>\nFinal Answer: 81.4255"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:12 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/12, so B = A × (12/5) = 1 × 12/5 = 2.4.\n</reasoning>\nFinal Answer: 2.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 409 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 409 × (1 - 17/100) = 409 × 0.83 = 339.47.\n</reasoning>\nFinal Answer: 339.47"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 86 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 86 × 94 = 8084.\n</reasoning>\nFinal Answer: 8084"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 40) * (34 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+40)=67, (34-8)=26, then 67×26=1742.\n</reasoning>\nFinal Answer: 1742"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 94 + -735"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 94 and -735: 94 + -735 = -641.\n</reasoning>\nFinal Answer: -641"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 55, 15, 83, 80, 47, 65, 46, 69, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 5 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 9/6 + 9/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/6 + 9/17. Common denominator = 34. Result = 69/34.\n</reasoning>\nFinal Answer: 69/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10901 at 11% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10901 × 11 × 4 / 100 = 4796.44.\n</reasoning>\nFinal Answer: 4796.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -13 = 611"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 26x = 624. Divide by 26: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 23 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 23 × 88 = 2024.\n</reasoning>\nFinal Answer: 2024"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 5 = 527"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 29x = 522. Divide by 29: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "40 is what percentage of 355?"
},
{
"role": "assistant",
"content": "<reasoning>\n(40/355) × 100 = 11.2676%.\n</reasoning>\nFinal Answer: 11.2676%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23852 at 15% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23852 × 15 × 10 / 100 = 35778.0.\n</reasoning>\nFinal Answer: 35778.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:42 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/42, so B = A × (42/47) = 40 × 42/47 = 35.7447.\n</reasoning>\nFinal Answer: 35.7447"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -59 - 168"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 168 from -59: -59 - 168 = -227.\n</reasoning>\nFinal Answer: -227"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 201 km apart. Their speeds are 110 km/h and 79 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 110+79=189 km/h. Time = 201/189 = 1.0635 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -318 ÷ -633"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -318 by -633. -318 ÷ -633 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 80 apples and buys 75 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 80 + 75 = 155.\n</reasoning>\nFinal Answer: 155"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 497 - 870"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 870 from 497: 497 - 870 = -373.\n</reasoning>\nFinal Answer: -373"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 6 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 6 = 96 worker-days. New time = 96 / 11 = 8.7273 days.\n</reasoning>\nFinal Answer: 8.7273"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 43, 22, 87, 83, 2, 57, 23, 23, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 43: 1, 22: 1, 87: 1, 83: 1, 2: 1, 57: 1, 23: 2, 74: 1}. Most frequent: 23.\n</reasoning>\nFinal Answer: 23"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 658 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 658 × (1 + 30/100) = 658 × 1.3 = 855.4.\n</reasoning>\nFinal Answer: 855.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 50 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 37+2500-15=2522.\n</reasoning>\nFinal Answer: 2522"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -886 - 174"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 174 from -886: -886 - 174 = -1060.\n</reasoning>\nFinal Answer: -1060"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "106 is what percentage of 573?"
},
{
"role": "assistant",
"content": "<reasoning>\n(106/573) × 100 = 18.4991%.\n</reasoning>\nFinal Answer: 18.4991%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 100 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 100 × 48 = 2400.0.\n</reasoning>\nFinal Answer: 2400.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/18 / 10/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/18) ÷ (10/15) = (8/18) × (15/10) = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 18, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (33-1)×18 = 45 + 576 = 621.\n</reasoning>\nFinal Answer: 621"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 1/15 - 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/15 - 17/20. LCD = 60. Result = -47/60.\n</reasoning>\nFinal Answer: -47/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 113 mod -435"
},
{
"role": "assistant",
"content": "<reasoning>\n113 mod -435: 113 = -435 × -1 + -322, so remainder = -322.\n</reasoning>\nFinal Answer: -322"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 67 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(67+37) = 2×104 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:43 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/43, so B = A × (43/7) = 35 × 43/7 = 215.0.\n</reasoning>\nFinal Answer: 215.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 62 = 4340.\n</reasoning>\nFinal Answer: 4340"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:30 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/30, so B = A × (30/1) = 86 × 30/1 = 2580.0.\n</reasoning>\nFinal Answer: 2580.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 114 km/h. How far does it travel in 12 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 20/60 = 12.3333 hours. Distance = speed × time = 114 × 12.3333 = 1406.0 km.\n</reasoning>\nFinal Answer: 1406.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 43 = 607"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 12x = 564. Divide by 12: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/2 * 1/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/2) × (1/4) = (17/8) = 17/8 after simplification.\n</reasoning>\nFinal Answer: 17/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 - 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/5 - 8/12. LCD = 3. Result = 7/3.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -792 ÷ -21"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -792 by -21. -792 ÷ -21 = 37 (integer division).\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 33 + 16 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×33=1254 and 16×8=128, then add: 1382.\n</reasoning>\nFinal Answer: 1382"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 7 = 1155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 28x = 1148. Divide by 28: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 430 km apart. Their speeds are 90 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 90+57=147 km/h. Time = 430/147 = 2.9252 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 828 + -989"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 828 and -989: 828 + -989 = -161.\n</reasoning>\nFinal Answer: -161"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 944 + 413"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 944 and 413: 944 + 413 = 1357.\n</reasoning>\nFinal Answer: 1357"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 44 * 21 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×21=924, then 42+924-12=954.\n</reasoning>\nFinal Answer: 954"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 48 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 10+2304-28=2286.\n</reasoning>\nFinal Answer: 2286"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 222 + -269"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 222 and -269: 222 + -269 = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [47, 67, 87, 107, 127]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 47 and common difference 20. Next term = 127 + 20 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 90 km/h. How far does it travel in 5 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 0/60 = 5.0000 hours. Distance = speed × time = 90 × 5.0000 = 450.0 km.\n</reasoning>\nFinal Answer: 450.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 447 km apart. Their speeds are 60 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+102=162 km/h. Time = 447/162 = 2.7593 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 40% of 111?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 111 = (40/100) × 111 = 44.4.\n</reasoning>\nFinal Answer: 44.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 516 - 459"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 459 from 516: 516 - 459 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/19 - 14/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/19 - 14/9. LCD = 171. Result = -221/171.\n</reasoning>\nFinal Answer: -221/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -7 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 7x = -77. Divide by 7: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -32 = 808"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 20x = 840. Divide by 20: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 47, 99, 30, 51, 82, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 25, 30, 47, 51, 82, 99]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "89 is what percentage of 91?"
},
{
"role": "assistant",
"content": "<reasoning>\n(89/91) × 100 = 97.8022%.\n</reasoning>\nFinal Answer: 97.8022%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A bag has 6 red and 9 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 6/15 = 0.4.\n</reasoning>\nFinal Answer: 0.4"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the median of: [69, 65, 3, 28, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 28, 65, 69, 96]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 181 - -61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -61 from 181: 181 - -61 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 37 = 67"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 10x = 30. Divide by 10: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -4 = -664"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 22x = -660. Divide by 22: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [31, 39, 47, 55, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 31 and common difference 8. Next term = 63 + 8 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -39 = 249"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 6x = 288. Divide by 6: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 7 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 7 = 112 worker-days. New time = 112 / 9 = 12.4444 days.\n</reasoning>\nFinal Answer: 12.4444"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -28 = 146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 6x = 174. Divide by 6: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -450 mod 280"
},
{
"role": "assistant",
"content": "<reasoning>\n-450 mod 280: -450 = 280 × -2 + 110, so remainder = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:4 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/4, so B = A × (4/14) = 60 × 4/14 = 17.1429.\n</reasoning>\nFinal Answer: 17.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 157 km/h. How far does it travel in 9 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 11/60 = 9.1833 hours. Distance = speed × time = 157 × 9.1833 = 1441.7833 km.\n</reasoning>\nFinal Answer: 1441.7833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 9 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 9 = 108 worker-days. New time = 108 / 20 = 5.4 days.\n</reasoning>\nFinal Answer: 5.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/17 * 6/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/17) × (6/9) = (120/153) = 40/51 after simplification.\n</reasoning>\nFinal Answer: 40/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 934 + 117"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 934 and 117: 934 + 117 = 1051.\n</reasoning>\nFinal Answer: 1051"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 931 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 931 × (1 + 15/100) = 931 × 1.15 = 1070.65.\n</reasoning>\nFinal Answer: 1070.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 75 km/h. How far does it travel in 9 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 31/60 = 9.5167 hours. Distance = speed × time = 75 × 9.5167 = 713.75 km.\n</reasoning>\nFinal Answer: 713.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [11, 14, 17, 20, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 11 and common difference 3. Next term = 23 + 3 = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -16 = -82"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 2x = -66. Divide by 2: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 21 = -834"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 19x = -855. Divide by 19: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 577 mod -881"
},
{
"role": "assistant",
"content": "<reasoning>\n577 mod -881: 577 = -881 × -1 + -304, so remainder = -304.\n</reasoning>\nFinal Answer: -304"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 115 and 58."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(115,58) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:28 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/28, so B = A × (28/23) = 18 × 28/23 = 21.913.\n</reasoning>\nFinal Answer: 21.913"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:28 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/28, so B = A × (28/44) = 9 × 28/44 = 5.7273.\n</reasoning>\nFinal Answer: 5.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 130 apples and buys 188 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 130 + 188 = 318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 56 ÷ 310"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 56 by 310. 56 ÷ 310 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -841 × -601"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -841 by -601: -841 × -601 = 505441.\n</reasoning>\nFinal Answer: 505441"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 56, 73, 88, 37, 29, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 56: 1, 73: 1, 88: 1, 37: 1, 29: 1, 51: 1}. Most frequent: [76, 56, 73, 88, 37, 29, 51].\n</reasoning>\nFinal Answer: [76, 56, 73, 88, 37, 29... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 13 = 100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 29x = 87. Divide by 29: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 125 apples and buys 86 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 125 + 86 = 211.\n</reasoning>\nFinal Answer: 211"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 3 = 9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 1x = 6. Divide by 1: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -18 = -114"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 24x = -96. Divide by 24: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -146 × -761"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -146 by -761: -146 × -761 = 111106.\n</reasoning>\nFinal Answer: 111106"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×33)/1 = 1254.\n</reasoning>\nFinal Answer: 1254"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 17 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 17 × 2 = 17.0.\n</reasoning>\nFinal Answer: 17.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 14 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+14) × 19 = 522.5.\n</reasoning>\nFinal Answer: 522.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 11 = -1361"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 28x = -1372. Divide by 28: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 28 * 18 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×18=504, then 12+504-44=472.\n</reasoning>\nFinal Answer: 472"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 27 = 747"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 16x = 720. Divide by 16: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 157 and 175."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(157,175) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
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