messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13640 at 19% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13640 × 19 × 7 / 100 = 18141.2.\n</reasoning>\nFinal Answer: 18141.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 913 km apart. Their speeds are 59 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 59+85=144 km/h. Time = 913/144 = 6.3403 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 32) * (37 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+32)=50, (37-48)=-11, then 50×-11=-550.\n</reasoning>\nFinal Answer: -550"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:29 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/29, so B = A × (29/23) = 77 × 29/23 = 97.087.\n</reasoning>\nFinal Answer: 97.087"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 148 apples and buys 1 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 148 + 1 = 149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 44 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 44 × 27 = 594.0.\n</reasoning>\nFinal Answer: 594.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [7, 86, 2, 13, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 145/5 = 29.0.\n</reasoning>\nFinal Answer: 29.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -383 + -562"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -383 and -562: -383 + -562 = -945.\n</reasoning>\nFinal Answer: -945"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 22 * 25 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×25=550, then 6+550-7=549.\n</reasoning>\nFinal Answer: 549"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/16 + 15/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/16 + 15/10. Common denominator = 8. Result = 17/8.\n</reasoning>\nFinal Answer: 17/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:32 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/32, so B = A × (32/37) = 68 × 32/37 = 58.8108.\n</reasoning>\nFinal Answer: 58.8108"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 1, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (33-1)×1 = 42 + 32 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 8 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+8) × 11 = 269.5.\n</reasoning>\nFinal Answer: 269.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14739 at 1% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14739 × 1 × 4 / 100 = 589.56.\n</reasoning>\nFinal Answer: 589.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/9 + 15/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/9 + 15/3. Common denominator = 9. Result = 50/9.\n</reasoning>\nFinal Answer: 50/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 366 mod -547"
},
{
"role": "assistant",
"content": "<reasoning>\n366 mod -547: 366 = -547 × -1 + -181, so remainder = -181.\n</reasoning>\nFinal Answer: -181"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 96 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(96+44) = 2×140 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 553 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 553 × (1 - 65/100) = 553 × 0.35 = 193.55.\n</reasoning>\nFinal Answer: 193.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 45 = 1095"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 21x = 1050. Divide by 21: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 44 + 44 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×44=1496 and 44×35=1540, then add: 3036.\n</reasoning>\nFinal Answer: 3036"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 24 = 312"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 18x = 288. Divide by 18: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -40 = 380"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 20x = 420. Divide by 20: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/8 - 4/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/8 - 4/1. LCD = 8. Result = -23/8.\n</reasoning>\nFinal Answer: -23/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 29 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 29 = 116 worker-days. New time = 116 / 5 = 23.2 days.\n</reasoning>\nFinal Answer: 23.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 498 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 498 × (1 + 70/100) = 498 × 1.7 = 846.6.\n</reasoning>\nFinal Answer: 846.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 13 mod 131"
},
{
"role": "assistant",
"content": "<reasoning>\n13 mod 131: 13 = 131 × 0 + 13, so remainder = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -33 × -930"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -33 by -930: -33 × -930 = 30690.\n</reasoning>\nFinal Answer: 30690"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 23."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 23 by smallest primes repeatedly: 23 = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -792 mod -841"
},
{
"role": "assistant",
"content": "<reasoning>\n-792 mod -841: -792 = -841 × 0 + -792, so remainder = -792.\n</reasoning>\nFinal Answer: -792"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 5 * 28 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×28=140, then 30+140-17=153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 - 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/6 - 3/15. LCD = 30. Result = 89/30.\n</reasoning>\nFinal Answer: 89/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 464 mod 661"
},
{
"role": "assistant",
"content": "<reasoning>\n464 mod 661: 464 = 661 × 0 + 464, so remainder = 464.\n</reasoning>\nFinal Answer: 464"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 145 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n145 = 5 × 29, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 48) * (47 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+48)=93, (47-10)=37, then 93×37=3441.\n</reasoning>\nFinal Answer: 3441"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:23 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/23, so B = A × (23/25) = 89 × 23/25 = 81.88.\n</reasoning>\nFinal Answer: 81.88"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -24 = 16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 1x = 40. Divide by 1: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 360 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 360 × (1 + 30/100) = 360 × 1.3 = 468.0.\n</reasoning>\nFinal Answer: 468.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 352 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 352 × (1 - 60/100) = 352 × 0.4 = 140.8.\n</reasoning>\nFinal Answer: 140.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "603 is what percentage of 736?"
},
{
"role": "assistant",
"content": "<reasoning>\n(603/736) × 100 = 81.9293%.\n</reasoning>\nFinal Answer: 81.9293%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 24 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 24 = 408 worker-days. New time = 408 / 4 = 102.0 days.\n</reasoning>\nFinal Answer: 102.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 74, 12, 23, 100, 87, 92, 91, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 23, 44, 72, 74, 87, 91, 92, 100]. Middle value(s) → median = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 408 ÷ 747"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 408 by 747. 408 ÷ 747 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -866 mod -126"
},
{
"role": "assistant",
"content": "<reasoning>\n-866 mod -126: -866 = -126 × 6 + -110, so remainder = -110.\n</reasoning>\nFinal Answer: -110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 50 = 1292"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 27x = 1242. Divide by 27: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 9, 12, 15, 17] and B = [7, 10, 13, 14, 15, 16, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:36 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/36, so B = A × (36/22) = 21 × 36/22 = 34.3636.\n</reasoning>\nFinal Answer: 34.3636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3974. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3974 × 12/100 = 476.88. Total = 3974 + 476.88 = 4450.88.\n</reasoning>\nFinal Answer: 4450.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 623 km apart. Their speeds are 88 km/h and 79 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+79=167 km/h. Time = 623/167 = 3.7305 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 21 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 21 × 86 = 1806.\n</reasoning>\nFinal Answer: 1806"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [5, 11, 17, 19] and B = [2, 10, 13, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 10, 11, 13, 16, 17].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 25 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 25 = 125 worker-days. New time = 125 / 20 = 6.25 days.\n</reasoning>\nFinal Answer: 6.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -85 - 363"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 363 from -85: -85 - 363 = -448.\n</reasoning>\nFinal Answer: -448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (45)x + (162) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 45² - 4×3×162 = 81. √discriminant = 9. x = (-(45) ± 9) / (2×3). Solutions: x = -6 or x = -9.\n</reasoning>\nFinal Answer: x = -6 or x = -9"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Increase 958 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 958 × (1 + 60/100) = 958 × 1.6 = 1532.8.\n</reasoning>\nFinal Answer: 1532.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -41 = 619"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 20x = 660. Divide by 20: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 589 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 589 × (1 - 75/100) = 589 × 0.25 = 147.25.\n</reasoning>\nFinal Answer: 147.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 22 = 805"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 27x = 783. Divide by 27: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -29 = -86"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 19x = -57. Divide by 19: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 139 mod -356"
},
{
"role": "assistant",
"content": "<reasoning>\n139 mod -356: 139 = -356 × -1 + -217, so remainder = -217.\n</reasoning>\nFinal Answer: -217"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 25 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 5+625-46=584.\n</reasoning>\nFinal Answer: 584"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [90, 8, 41, 21, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 21, 38, 41, 90]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [7, 11, 17, 18] and B = [2, 9, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 7, 9, 11, 15, 17, 18].\n</reasoning>\nFinal Answer: [2, 7, 9, 11, 15, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 120 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 120 × (1 + 7/100) = 120 × 1.07 = 128.4.\n</reasoning>\nFinal Answer: 128.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 342 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 342 × (1 + 3/100) = 342 × 1.03 = 352.26.\n</reasoning>\nFinal Answer: 352.26"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 41 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 41 × 12 = 246.0.\n</reasoning>\nFinal Answer: 246.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [88, 10, 75, 63, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 38, 63, 75, 88]. Middle value(s) → median = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -784 + -297"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -784 and -297: -784 + -297 = -1081.\n</reasoning>\nFinal Answer: -1081"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 10, 11, 13, 16] and B = [1, 3, 5, 8, 10, 11, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [13, 16].\n</reasoning>\nFinal Answer: [13, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17808 at 5% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17808 × 5 × 9 / 100 = 8013.6.\n</reasoning>\nFinal Answer: 8013.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [81, 31, 40, 97, 77, 21, 40, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {81: 1, 31: 1, 40: 2, 97: 1, 77: 1, 21: 1, 65: 1}. Most frequent: 40.\n</reasoning>\nFinal Answer: 40"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 10/8 + 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/8 + 14/11. Common denominator = 44. Result = 111/44.\n</reasoning>\nFinal Answer: 111/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19368 at 18% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19368 × 18 × 6 / 100 = 20917.44.\n</reasoning>\nFinal Answer: 20917.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 92 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 92 × 28 = 1288.0.\n</reasoning>\nFinal Answer: 1288.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 28) * (18 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+28)=37, (18-11)=7, then 37×7=259.\n</reasoning>\nFinal Answer: 259"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 20 = 1124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 24x = 1104. Divide by 24: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 / 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/10) ÷ (4/13) = (15/10) × (13/4) = 39/8.\n</reasoning>\nFinal Answer: 39/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 154 km/h. How far does it travel in 2 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 21/60 = 2.3500 hours. Distance = speed × time = 154 × 2.3500 = 361.9 km.\n</reasoning>\nFinal Answer: 361.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 61, 50, 92, 6, 47, 73, 92, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 6 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (18)x + (-120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 18² - 4×3×-120 = 1764. √discriminant = 42. x = (-(18) ± 42) / (2×3). Solutions: x = 4 or x = -10.\n</reasoning>\nFinal Answer: x = 4 or x = -1... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [37, 50, 63, 76, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 37 and common difference 13. Next term = 89 + 13 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 18, and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 18 + 19 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -13 = 933"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 22x = 946. Divide by 22: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 26 + 17 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×26=1014 and 17×13=221, then add: 1235.\n</reasoning>\nFinal Answer: 1235"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 553 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 553 × (1 + 7/100) = 553 × 1.07 = 591.71.\n</reasoning>\nFinal Answer: 591.71"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -1 - -339"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -339 from -1: -1 - -339 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [66, 29, 15, 13, 26, 36, 53, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {66: 1, 29: 1, 15: 1, 13: 1, 26: 1, 36: 1, 53: 2}. Most frequent: 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 2, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (50-1)×2 = 8 + 98 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -32 = -293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 9x = -261. Divide by 9: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 622 km apart. Their speeds are 57 km/h and 108 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 57+108=165 km/h. Time = 622/165 = 3.7697 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/8 * 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/8) × (16/5) = (160/40) = 4 after simplification.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 745 - 449"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 449 from 745: 745 - 449 = 296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:18 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/18, so B = A × (18/10) = 99 × 18/10 = 178.2.\n</reasoning>\nFinal Answer: 178.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 - 16/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/10 - 16/3. LCD = 3. Result = -10/3.\n</reasoning>\nFinal Answer: -10/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/20 * 12/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/20) × (12/11) = (144/220) = 36/55 after simplification.\n</reasoning>\nFinal Answer: 36/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -637 + 16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -637 and 16: -637 + 16 = -621.\n</reasoning>\nFinal Answer: -621"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/20 / 15/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/20) ÷ (15/12) = (1/20) × (12/15) = 1/25.\n</reasoning>\nFinal Answer: 1/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 421 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 421 × (1 - 40/100) = 421 × 0.6 = 252.6.\n</reasoning>\nFinal Answer: 252.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [11, 1, 45, 61, 52, 89, 89, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 445/8 = 55.625.\n</reasoning>\nFinal Answer: 55.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 25 + 31 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×25=1050 and 31×35=1085, then add: 2135.\n</reasoning>\nFinal Answer: 2135"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 29, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 29 + 33 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"geometry",
"perimeter"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.