messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Decrease 568 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 568 × (1 - 45/100) = 568 × 0.55 = 312.4.\n</reasoning>\nFinal Answer: 312.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 323 + -702"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 323 and -702: 323 + -702 = -379.\n</reasoning>\nFinal Answer: -379"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 406 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 406 × (1 + 70/100) = 406 × 1.7 = 690.2.\n</reasoning>\nFinal Answer: 690.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 173 apples and buys 200 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 173 + 200 = 373.\n</reasoning>\nFinal Answer: 373"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -411 - -365"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -365 from -411: -411 - -365 = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 / 13/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/9) ÷ (13/5) = (20/9) × (5/13) = 100/117.\n</reasoning>\nFinal Answer: 100/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 + 8/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/2 + 8/17. Common denominator = 17. Result = 93/17.\n</reasoning>\nFinal Answer: 93/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15582 at 9% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15582 × 9 × 2 / 100 = 2804.76.\n</reasoning>\nFinal Answer: 2804.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/17 * 2/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/17) × (2/10) = (28/170) = 14/85 after simplification.\n</reasoning>\nFinal Answer: 14/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4975. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4975 × 18/100 = 895.5. Total = 4975 + 895.5 = 5870.5.\n</reasoning>\nFinal Answer: 5870.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 105 and 87."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(105,87) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 583 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 583 × (1 + 20/100) = 583 × 1.2 = 699.6.\n</reasoning>\nFinal Answer: 699.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 913 km apart. Their speeds are 102 km/h and 88 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 102+88=190 km/h. Time = 913/190 = 4.8053 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 44 = 35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 1x = -9. Divide by 1: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate: 5^3"
},
{
"role": "assistant",
"content": "<reasoning>\n5^3 = 5 × 5 × 5 = 125.\n</reasoning>\nFinal Answer: 125"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2079 at 1% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2079 × 1 × 8 / 100 = 166.32.\n</reasoning>\nFinal Answer: 166.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "52 is what percentage of 70?"
},
{
"role": "assistant",
"content": "<reasoning>\n(52/70) × 100 = 74.2857%.\n</reasoning>\nFinal Answer: 74.2857%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 149 apples and buys 14 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 149 + 14 = 163.\n</reasoning>\nFinal Answer: 163"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 3, 13, 19, 74, 64, 99, 19, 79, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 3: 1, 13: 1, 19: 2, 74: 1, 64: 1, 99: 1, 79: 1, 61: 1}. Most frequent: 19.\n</reasoning>\nFinal Answer: 19"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 18 = 39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 21x = 21. Divide by 21: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -39 mod -543"
},
{
"role": "assistant",
"content": "<reasoning>\n-39 mod -543: -39 = -543 × 0 + -39, so remainder = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 753 km apart. Their speeds are 119 km/h and 54 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 119+54=173 km/h. Time = 753/173 = 4.3526 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -1 = 188"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 9x = 189. Divide by 9: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 6 * 13 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×13=78, then 41+78-17=102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -392 - -662"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -662 from -392: -392 - -662 = 270.\n</reasoning>\nFinal Answer: 270"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 316 mod 823"
},
{
"role": "assistant",
"content": "<reasoning>\n316 mod 823: 316 = 823 × 0 + 316, so remainder = 316.\n</reasoning>\nFinal Answer: 316"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -111 × 587"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -111 by 587: -111 × 587 = -65157.\n</reasoning>\nFinal Answer: -65157"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 86 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 86 × 34 = 1462.0.\n</reasoning>\nFinal Answer: 1462.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -25 = 275"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 25x = 300. Divide by 25: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 138 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 138 × (1 - 90/100) = 138 × 0.09999999999999998 = 13.8.\n</reasoning>\nFinal Answer: 13.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 93 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 93 × 42 = 3906.\n</reasoning>\nFinal Answer: 3906"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 112 + 730"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 112 and 730: 112 + 730 = 842.\n</reasoning>\nFinal Answer: 842"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 14 * 13 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×13=182, then 30+182-22=190.\n</reasoning>\nFinal Answer: 190"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/15 + 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/15 + 5/4. Common denominator = 60. Result = 91/60.\n</reasoning>\nFinal Answer: 91/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 46 * 19 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×19=874, then 3+874-29=848.\n</reasoning>\nFinal Answer: 848"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 490 ÷ 711"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 490 by 711. 490 ÷ 711 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 125 km/h. How far does it travel in 1 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 25/60 = 1.4167 hours. Distance = speed × time = 125 × 1.4167 = 177.0833 km.\n</reasoning>\nFinal Answer: 177.0833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [33, 21, 42, 84, 42, 56, 82, 9, 30, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 464/10 = 46.4.\n</reasoning>\nFinal Answer: 46.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 186 apples and buys 28 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 186 + 28 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 / 2/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/6) ÷ (2/5) = (5/6) × (5/2) = 25/12.\n</reasoning>\nFinal Answer: 25/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3162. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3162 × 18/100 = 569.16. Total = 3162 + 569.16 = 3731.16.\n</reasoning>\nFinal Answer: 3731.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 576 + 578"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 576 and 578: 576 + 578 = 1154.\n</reasoning>\nFinal Answer: 1154"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -12 = -12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 16x = 0. Divide by 16: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [6, 54, 87, 16, 87, 29, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 370/7 = 52.8571.\n</reasoning>\nFinal Answer: 52.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:45 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/45, so B = A × (45/19) = 3 × 45/19 = 7.1053.\n</reasoning>\nFinal Answer: 7.1053"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 * 8/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/15) × (8/9) = (112/135) = 112/135 after simplification.\n</reasoning>\nFinal Answer: 112/135"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 16 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+16) × 48 = 1032.0.\n</reasoning>\nFinal Answer: 1032.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [30, 95, 8, 48, 14, 64, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 353/7 = 50.4286.\n</reasoning>\nFinal Answer: 50.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 11 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 11 = 209 worker-days. New time = 209 / 6 = 34.8333 days.\n</reasoning>\nFinal Answer: 34.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40199 at 15% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40199 × 15 × 3 / 100 = 18089.55.\n</reasoning>\nFinal Answer: 18089.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 53 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(53+98) = 2×151 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate: 9^3"
},
{
"role": "assistant",
"content": "<reasoning>\n9^3 = 9 × 9 × 9 = 729.\n</reasoning>\nFinal Answer: 729"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Find the mode of: [45, 47, 29, 86, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {45: 1, 47: 1, 29: 1, 86: 1, 68: 1}. Most frequent: [45, 47, 29, 86, 68].\n</reasoning>\nFinal Answer: [45, 47, 29, 86, 68]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 22 * 12 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×12=264, then 23+264-38=249.\n</reasoning>\nFinal Answer: 249"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 5, 8, 10, 11, 12, 14] and B = [1, 2, 6, 7, 8, 10, 13, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 4, 5, 11, 12].\n</reasoning>\nFinal Answer: [3, 4, 5, 11, 12]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 18, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (43-1)×18 = 25 + 756 = 781.\n</reasoning>\nFinal Answer: 781"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -32 = 472"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 14x = 504. Divide by 14: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -29 = -189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 16x = -160. Divide by 16: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 100, 55, 93, 82, 24, 31, 39, 100, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 641/10 = 64.1.\n</reasoning>\nFinal Answer: 64.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹772. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 772 × 18/100 = 138.96. Total = 772 + 138.96 = 910.96.\n</reasoning>\nFinal Answer: 910.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 900 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 900 × (1 + 70/100) = 900 × 1.7 = 1530.0.\n</reasoning>\nFinal Answer: 1530.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 95, 95, 72, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 44 = 51.\n</reasoning>\nFinal Answer: 51"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 33 * 20 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×20=660, then 2+660-38=624.\n</reasoning>\nFinal Answer: 624"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 80% of 611?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 611 = (80/100) × 611 = 488.8.\n</reasoning>\nFinal Answer: 488.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 20 = 251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 7x = 231. Divide by 7: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 382 mod 198"
},
{
"role": "assistant",
"content": "<reasoning>\n382 mod 198: 382 = 198 × 1 + 184, so remainder = 184.\n</reasoning>\nFinal Answer: 184"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 10, 11, 12, 13, 15, 17] and B = [1, 4, 7, 10, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 9, 11, 12, 13, 17, 19].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 14/20 - 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/20 - 14/2. LCD = 10. Result = -63/10.\n</reasoning>\nFinal Answer: -63/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -215 mod -445"
},
{
"role": "assistant",
"content": "<reasoning>\n-215 mod -445: -215 = -445 × 0 + -215, so remainder = -215.\n</reasoning>\nFinal Answer: -215"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/19 / 20/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/19) ÷ (20/11) = (2/19) × (11/20) = 11/190.\n</reasoning>\nFinal Answer: 11/190"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:45 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/45, so B = A × (45/44) = 27 × 45/44 = 27.6136.\n</reasoning>\nFinal Answer: 27.6136"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [26, 47, 82, 2, 61, 80, 46, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {26: 1, 47: 1, 82: 1, 2: 1, 61: 1, 80: 1, 46: 1, 65: 1}. Most frequent: [26, 47, 82, 2, 61, 80, 46, 65].\n</reasoning>\nFinal Answer: [26, 47, 82... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 16 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 16 × (1 + 70/100) = 16 × 1.7 = 27.2.\n</reasoning>\nFinal Answer: 27.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 20% of 290?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 290 = (20/100) × 290 = 58.0.\n</reasoning>\nFinal Answer: 58.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "141 is what percentage of 342?"
},
{
"role": "assistant",
"content": "<reasoning>\n(141/342) × 100 = 41.2281%.\n</reasoning>\nFinal Answer: 41.2281%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 * 13/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/2) × (13/12) = (234/24) = 39/4 after simplification.\n</reasoning>\nFinal Answer: 39/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 110 km/h. How far does it travel in 6 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 3/60 = 6.0500 hours. Distance = speed × time = 110 × 6.0500 = 665.5 km.\n</reasoning>\nFinal Answer: 665.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 539 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 539 × (1 - 80/100) = 539 × 0.19999999999999996 = 107.8.\n</reasoning>\nFinal Answer: 107.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 947 km apart. Their speeds are 84 km/h and 52 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+52=136 km/h. Time = 947/136 = 6.9632 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -340 × -312"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -340 by -312: -340 × -312 = 106080.\n</reasoning>\nFinal Answer: 106080"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/5 / 3/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/5) ÷ (3/12) = (11/5) × (12/3) = 44/5.\n</reasoning>\nFinal Answer: 44/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 12 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 12 × 75 = 450.0.\n</reasoning>\nFinal Answer: 450.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 633 mod 747"
},
{
"role": "assistant",
"content": "<reasoning>\n633 mod 747: 633 = 747 × 0 + 633, so remainder = 633.\n</reasoning>\nFinal Answer: 633"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 19 apples and buys 190 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 19 + 190 = 209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -982 mod -240"
},
{
"role": "assistant",
"content": "<reasoning>\n-982 mod -240: -982 = -240 × 4 + -22, so remainder = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 10) * (27 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+10)=58, (27-33)=-6, then 58×-6=-348.\n</reasoning>\nFinal Answer: -348"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 84 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 84 × 63 = 5292.\n</reasoning>\nFinal Answer: 5292"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -62 + -722"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -62 and -722: -62 + -722 = -784.\n</reasoning>\nFinal Answer: -784"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 158 mod -467"
},
{
"role": "assistant",
"content": "<reasoning>\n158 mod -467: 158 = -467 × -1 + -309, so remainder = -309.\n</reasoning>\nFinal Answer: -309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 6, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (18-1)×6 = 49 + 102 = 151.\n</reasoning>\nFinal Answer: 151"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 24 = 12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 3x = -12. Divide by 3: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 339 + 677"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 339 and 677: 339 + 677 = 1016.\n</reasoning>\nFinal Answer: 1016"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 700 + -111"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 700 and -111: 700 + -111 = 589.\n</reasoning>\nFinal Answer: 589"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 142 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 142 × (1 - 70/100) = 142 × 0.30000000000000004 = 42.6.\n</reasoning>\nFinal Answer: 42.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 9 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 5+81-24=62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 802 - 109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 109 from 802: 802 - 109 = 693.\n</reasoning>\nFinal Answer: 693"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -465 × -405"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -465 by -405: -465 × -405 = 188325.\n</reasoning>\nFinal Answer: 188325"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 45 km/h. How far does it travel in 4 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 33/60 = 4.5500 hours. Distance = speed × time = 45 × 4.5500 = 204.75 km.\n</reasoning>\nFinal Answer: 204.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 / 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/11) ÷ (1/18) = (16/11) × (18/1) = 288/11.\n</reasoning>\nFinal Answer: 288/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 30 + 6 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×30=810 and 6×9=54, then add: 864.\n</reasoning>\nFinal Answer: 864"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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