messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 49 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+49) × 1 = 43.5.\n</reasoning>\nFinal Answer: 43.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/12 + 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/12 + 10/11. Common denominator = 22. Result = 53/22.\n</reasoning>\nFinal Answer: 53/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37441 at 8% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37441 × 8 × 3 / 100 = 8985.84.\n</reasoning>\nFinal Answer: 8985.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 333."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 333 by smallest primes repeatedly: 333 = 3 × 3 × 37.\n</reasoning>\nFinal Answer: 3 × 3 × 37"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 99 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 99 × 15 = 1485.\n</reasoning>\nFinal Answer: 1485"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -18 × 954"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -18 by 954: -18 × 954 = -17172.\n</reasoning>\nFinal Answer: -17172"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/8 * 8/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/8) × (8/14) = (64/112) = 4/7 after simplification.\n</reasoning>\nFinal Answer: 4/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 222 mod -387"
},
{
"role": "assistant",
"content": "<reasoning>\n222 mod -387: 222 = -387 × -1 + -165, so remainder = -165.\n</reasoning>\nFinal Answer: -165"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "47 is what percentage of 387?"
},
{
"role": "assistant",
"content": "<reasoning>\n(47/387) × 100 = 12.1447%.\n</reasoning>\nFinal Answer: 12.1447%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (22)x + (36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 22² - 4×2×36 = 196. √discriminant = 14. x = (-(22) ± 14) / (2×2). Solutions: x = -9 or x = -2.\n</reasoning>\nFinal Answer: x = -9 or x = -2"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 3 = 267.\n</reasoning>\nFinal Answer: 267"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 54 - -352"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -352 from 54: 54 - -352 = 406.\n</reasoning>\nFinal Answer: 406"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 50, 31, 49, 28, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 31, 49, 50, 70, 80]. Middle value(s) → median = 49.5.\n</reasoning>\nFinal Answer: 49.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -14 × -841"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -14 by -841: -14 × -841 = 11774.\n</reasoning>\nFinal Answer: 11774"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/8 / 10/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/8) ÷ (10/15) = (2/8) × (15/10) = 3/8.\n</reasoning>\nFinal Answer: 3/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/6 / 1/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/6) ÷ (1/12) = (3/6) × (12/1) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 19, and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 19 + 22 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 755 ÷ 970"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 755 by 970. 755 ÷ 970 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [53, 61, 62, 19, 45, 14, 41, 100, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 14, 19, 41, 45, 53, 61, 62, 100]. Middle value(s) → median = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 12, 13, 19] and B = [1, 8, 11, 13, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8, 13, 19].\n</reasoning>\nFinal Answer: [8, 13, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 4, 17, 38, 33, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 50 - 4 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 492 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 492 × (1 + 100/100) = 492 × 2.0 = 984.0.\n</reasoning>\nFinal Answer: 984.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/18 * 13/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/18) × (13/16) = (117/288) = 13/32 after simplification.\n</reasoning>\nFinal Answer: 13/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 783 - -189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -189 from 783: 783 - -189 = 972.\n</reasoning>\nFinal Answer: 972"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1882. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1882 × 18/100 = 338.76. Total = 1882 + 338.76 = 2220.76.\n</reasoning>\nFinal Answer: 2220.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 17, 36, 27, 51, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 18, 27, 36, 51, 78]. Middle value(s) → median = 31.5.\n</reasoning>\nFinal Answer: 31.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 14 * 13 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×13=182, then 41+182-37=186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 10, 14, 15, 18, 19] and B = [8, 12, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 10, 14, 15, 18].\n</reasoning>\nFinal Answer: [6, 10, 14, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 / 10/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/5) ÷ (10/8) = (16/5) × (8/10) = 64/25.\n</reasoning>\nFinal Answer: 64/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 783 km apart. Their speeds are 91 km/h and 47 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+47=138 km/h. Time = 783/138 = 5.6739 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 90% of 946?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 946 = (90/100) × 946 = 851.4.\n</reasoning>\nFinal Answer: 851.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 23 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 7+529-24=512.\n</reasoning>\nFinal Answer: 512"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 290 km apart. Their speeds are 118 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 118+44=162 km/h. Time = 290/162 = 1.7901 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9645 at 12% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9645 × 12 × 1 / 100 = 1157.4.\n</reasoning>\nFinal Answer: 1157.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37319 at 11% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37319 × 11 × 6 / 100 = 24630.54.\n</reasoning>\nFinal Answer: 24630.54"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 28 = -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 7x = -42. Divide by 7: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 9 = -681"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 23x = -690. Divide by 23: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 34 = 2618.\n</reasoning>\nFinal Answer: 2618"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 38) * (30 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+38)=59, (30-10)=20, then 59×20=1180.\n</reasoning>\nFinal Answer: 1180"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "331 is what percentage of 654?"
},
{
"role": "assistant",
"content": "<reasoning>\n(331/654) × 100 = 50.6116%.\n</reasoning>\nFinal Answer: 50.6116%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 15, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (10-1)×15 = 25 + 135 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 * 16/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/5) × (16/10) = (32/50) = 16/25 after simplification.\n</reasoning>\nFinal Answer: 16/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -354 + -553"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -354 and -553: -354 + -553 = -907.\n</reasoning>\nFinal Answer: -907"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "584 is what percentage of 906?"
},
{
"role": "assistant",
"content": "<reasoning>\n(584/906) × 100 = 64.4592%.\n</reasoning>\nFinal Answer: 64.4592%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 3 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 48+9-21=36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 * 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/19) × (10/19) = (170/361) = 170/361 after simplification.\n</reasoning>\nFinal Answer: 170/361"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -7 ÷ 126"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -7 by 126. -7 ÷ 126 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 * 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/1) × (4/5) = (56/5) = 56/5 after simplification.\n</reasoning>\nFinal Answer: 56/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [31, 18, 20, 60, 32, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 236/6 = 39.3333.\n</reasoning>\nFinal Answer: 39.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 26 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+26) × 46 = 1564.0.\n</reasoning>\nFinal Answer: 1564.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [27, 33, 39, 45, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 27 and common difference 6. Next term = 51 + 6 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 18 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(18+23) = 2×41 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:9 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/9, so B = A × (9/24) = 47 × 9/24 = 17.625.\n</reasoning>\nFinal Answer: 17.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 26 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 26 × 54 = 702.0.\n</reasoning>\nFinal Answer: 702.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 43 × -493"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 43 by -493: 43 × -493 = -21199.\n</reasoning>\nFinal Answer: -21199"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [47, 82, 72, 65, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 317/5 = 63.4.\n</reasoning>\nFinal Answer: 63.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 2 and height 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 2 × 78 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34930 at 18% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34930 × 18 × 1 / 100 = 6287.4.\n</reasoning>\nFinal Answer: 6287.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 65% of 140?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 140 = (65/100) × 140 = 91.0.\n</reasoning>\nFinal Answer: 91.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -285 × -931"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -285 by -931: -285 × -931 = 265335.\n</reasoning>\nFinal Answer: 265335"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4346. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4346 × 28/100 = 1216.88. Total = 4346 + 1216.88 = 5562.88.\n</reasoning>\nFinal Answer: 5562.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 47 = -149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 7x = -196. Divide by 7: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -137 mod 839"
},
{
"role": "assistant",
"content": "<reasoning>\n-137 mod 839: -137 = 839 × -1 + 702, so remainder = 702.\n</reasoning>\nFinal Answer: 702"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 44 * 13 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×13=572, then 37+572-5=604.\n</reasoning>\nFinal Answer: 604"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 27 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 27 = 189 worker-days. New time = 189 / 17 = 11.1176 days.\n</reasoning>\nFinal Answer: 11.1176"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 27 * 22 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×22=594, then 47+594-38=603.\n</reasoning>\nFinal Answer: 603"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/19 * 18/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/19) × (18/2) = (324/38) = 162/19 after simplification.\n</reasoning>\nFinal Answer: 162/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [76, 4, 63, 19, 48, 45, 92, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 9, 19, 45, 48, 63, 76, 92]. Middle value(s) → median = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 12, 13, 14] and B = [4, 5, 6, 12, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 13].\n</reasoning>\nFinal Answer: [2, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 - 4/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/20 - 4/12. LCD = 60. Result = 7/60.\n</reasoning>\nFinal Answer: 7/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/6 * 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/6) × (5/17) = (70/102) = 35/51 after simplification.\n</reasoning>\nFinal Answer: 35/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -4 = -247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 27x = -243. Divide by 27: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/17 * 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/17) × (3/5) = (15/85) = 3/17 after simplification.\n</reasoning>\nFinal Answer: 3/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 921 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 921 × (1 - 10/100) = 921 × 0.9 = 828.9.\n</reasoning>\nFinal Answer: 828.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "818 is what percentage of 875?"
},
{
"role": "assistant",
"content": "<reasoning>\n(818/875) × 100 = 93.4857%.\n</reasoning>\nFinal Answer: 93.4857%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 + 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/1 + 10/5. Common denominator = 1. Result = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 * 12/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/12) × (12/5) = (228/60) = 19/5 after simplification.\n</reasoning>\nFinal Answer: 19/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [80, 75, 98, 89, 61, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 38 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -605 - -541"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -541 from -605: -605 - -541 = -64.\n</reasoning>\nFinal Answer: -64"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 791 km apart. Their speeds are 86 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+48=134 km/h. Time = 791/134 = 5.903 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -68 ÷ -245"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -68 by -245. -68 ÷ -245 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -511 × 700"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -511 by 700: -511 × 700 = -357700.\n</reasoning>\nFinal Answer: -357700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 19 * 40 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×40=760, then 25+760-38=747.\n</reasoning>\nFinal Answer: 747"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 37 + 7 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×37=1184 and 7×32=224, then add: 1408.\n</reasoning>\nFinal Answer: 1408"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23861 at 11% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23861 × 11 × 4 / 100 = 10498.84.\n</reasoning>\nFinal Answer: 10498.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10317 at 18% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10317 × 18 × 6 / 100 = 11142.36.\n</reasoning>\nFinal Answer: 11142.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 926 × -392"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 926 by -392: 926 × -392 = -362992.\n</reasoning>\nFinal Answer: -362992"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 170 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(170,47) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "121 is what percentage of 760?"
},
{
"role": "assistant",
"content": "<reasoning>\n(121/760) × 100 = 15.9211%.\n</reasoning>\nFinal Answer: 15.9211%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 8 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 8 × 42 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 * 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/11) × (19/8) = (361/88) = 361/88 after simplification.\n</reasoning>\nFinal Answer: 361/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -73 × -222"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -73 by -222: -73 × -222 = 16206.\n</reasoning>\nFinal Answer: 16206"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 30% of 704?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 704 = (30/100) × 704 = 211.2.\n</reasoning>\nFinal Answer: 211.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 153 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 153 × (1 - 17/100) = 153 × 0.83 = 126.99.\n</reasoning>\nFinal Answer: 126.99"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 47 * 7 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×7=329, then 31+329-30=330.\n</reasoning>\nFinal Answer: 330"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [84, 17, 58, 39, 87, 16, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {84: 1, 17: 1, 58: 1, 39: 1, 87: 1, 16: 1, 69: 1}. Most frequent: [84, 17, 58, 39, 87, 16, 69].\n</reasoning>\nFinal Answer: [84, 17, 58, 39, 87, 16... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 18 apples and buys 152 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 18 + 152 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 88 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 88 × 74 = 6512.\n</reasoning>\nFinal Answer: 6512"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/20 / 15/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/20) ÷ (15/10) = (8/20) × (10/15) = 4/15.\n</reasoning>\nFinal Answer: 4/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [68, 45, 86, 91, 28, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 385/6 = 64.1667.\n</reasoning>\nFinal Answer: 64.1667"
}
] | easy | [
"statistics",
"mean"
] |
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