messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 39 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 39 × 88 = 3432.\n</reasoning>\nFinal Answer: 3432"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [37, 40, 43, 46, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 37 and common difference 3. Next term = 49 + 3 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 1 + 4 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×1=24 and 4×9=36, then add: 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 52, 66, 82, 8, 26, 56, 23, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 8 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -214 mod -912"
},
{
"role": "assistant",
"content": "<reasoning>\n-214 mod -912: -214 = -912 × 0 + -214, so remainder = -214.\n</reasoning>\nFinal Answer: -214"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 36 + 43 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×36=324 and 43×36=1548, then add: 1872.\n</reasoning>\nFinal Answer: 1872"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -858 - -990"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -990 from -858: -858 - -990 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/2 + 11/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/2 + 11/7. Common denominator = 7. Result = 18/7.\n</reasoning>\nFinal Answer: 18/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 200 and 79."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(200,79) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 36 and width 89."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(36+89) = 2×125 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 + 2/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/15 + 2/9. Common denominator = 45. Result = 43/45.\n</reasoning>\nFinal Answer: 43/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 28 + 21 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×28=840 and 21×18=378, then add: 1218.\n</reasoning>\nFinal Answer: 1218"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 38 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 27+1444-44=1427.\n</reasoning>\nFinal Answer: 1427"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 30 = 420"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 13x = 390. Divide by 13: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -354 × 477"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -354 by 477: -354 × 477 = -168858.\n</reasoning>\nFinal Answer: -168858"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 554 km apart. Their speeds are 44 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 44+95=139 km/h. Time = 554/139 = 3.9856 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:40 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/40, so B = A × (40/11) = 18 × 40/11 = 65.4545.\n</reasoning>\nFinal Answer: 65.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 77, 76, 58, 12, 44, 74, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 12 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 11] and B = [6, 7, 8, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 6, 7, 8, 11, 14].\n</reasoning>\nFinal Answer: [2, 6, 7, 8, 11, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹654. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 654 × 28/100 = 183.12. Total = 654 + 183.12 = 837.12.\n</reasoning>\nFinal Answer: 837.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:34 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/34, so B = A × (34/22) = 68 × 34/22 = 105.0909.\n</reasoning>\nFinal Answer: 105.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 17 * 50 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×50=850, then 18+850-4=864.\n</reasoning>\nFinal Answer: 864"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 479 mod 652"
},
{
"role": "assistant",
"content": "<reasoning>\n479 mod 652: 479 = 652 × 0 + 479, so remainder = 479.\n</reasoning>\nFinal Answer: 479"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 40) * (3 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+40)=69, (3-46)=-43, then 69×-43=-2967.\n</reasoning>\nFinal Answer: -2967"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 982 - -229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -229 from 982: 982 - -229 = 1211.\n</reasoning>\nFinal Answer: 1211"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 7) * (47 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+7)=43, (47-39)=8, then 43×8=344.\n</reasoning>\nFinal Answer: 344"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 259 + -955"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 259 and -955: 259 + -955 = -696.\n</reasoning>\nFinal Answer: -696"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 62 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(62,32) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 863 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 863 × (1 + 100/100) = 863 × 2.0 = 1726.0.\n</reasoning>\nFinal Answer: 1726.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:45 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/45, so B = A × (45/49) = 6 × 45/49 = 5.5102.\n</reasoning>\nFinal Answer: 5.5102"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 6, 7, 9, 17] and B = [10, 13, 14, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 4, 6, 7, 9].\n</reasoning>\nFinal Answer: [2, 3, 4, 6, 7, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹2401. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2401 × 18/100 = 432.18. Total = 2401 + 432.18 = 2833.18.\n</reasoning>\nFinal Answer: 2833.18"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -779 + -860"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -779 and -860: -779 + -860 = -1639.\n</reasoning>\nFinal Answer: -1639"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 9, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (48-1)×9 = 50 + 423 = 473.\n</reasoning>\nFinal Answer: 473"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 177 km/h. How far does it travel in 4 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 32/60 = 4.5333 hours. Distance = speed × time = 177 × 4.5333 = 802.4 km.\n</reasoning>\nFinal Answer: 802.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "284 is what percentage of 652?"
},
{
"role": "assistant",
"content": "<reasoning>\n(284/652) × 100 = 43.5583%.\n</reasoning>\nFinal Answer: 43.5583%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 8/3 - 10/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/3 - 10/18. LCD = 9. Result = 19/9.\n</reasoning>\nFinal Answer: 19/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 639 × 122"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 639 by 122: 639 × 122 = 77958.\n</reasoning>\nFinal Answer: 77958"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:16 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/16, so B = A × (16/21) = 35 × 16/21 = 26.6667.\n</reasoning>\nFinal Answer: 26.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 30 = -54"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 28x = -84. Divide by 28: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 17 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 17 = 51 worker-days. New time = 51 / 17 = 3.0 days.\n</reasoning>\nFinal Answer: 3.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [33, 34, 35, 36, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 33 and common difference 1. Next term = 37 + 1 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×44)/1 = 836.\n</reasoning>\nFinal Answer: 836"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 613 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 613 × (1 - 10/100) = 613 × 0.9 = 551.7.\n</reasoning>\nFinal Answer: 551.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:9 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/9, so B = A × (9/23) = 14 × 9/23 = 5.4783.\n</reasoning>\nFinal Answer: 5.4783"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -39 = -295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 16x = -256. Divide by 16: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 29) * (30 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+29)=55, (30-32)=-2, then 55×-2=-110.\n</reasoning>\nFinal Answer: -110"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 7 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 7/12 = 0.5833.\n</reasoning>\nFinal Answer: 0.5833"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 / 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/7) ÷ (19/10) = (17/7) × (10/19) = 170/133.\n</reasoning>\nFinal Answer: 170/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 908 + 573"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 908 and 573: 908 + 573 = 1481.\n</reasoning>\nFinal Answer: 1481"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 172."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 172 by smallest primes repeatedly: 172 = 2 × 2 × 43.\n</reasoning>\nFinal Answer: 2 × 2 × 43"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 55 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(55,34) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [76, 16, 18, 100, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 18, 38, 76, 100]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 767 + -966"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 767 and -966: 767 + -966 = -199.\n</reasoning>\nFinal Answer: -199"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 46."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×46)/2 = 506.\n</reasoning>\nFinal Answer: 506"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 29 = -169"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 9x = -198. Divide by 9: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 42 + 24 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×42=294 and 24×17=408, then add: 702.\n</reasoning>\nFinal Answer: 702"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -895 + 248"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -895 and 248: -895 + 248 = -647.\n</reasoning>\nFinal Answer: -647"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 45 = 45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 15x = 0. Divide by 15: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 218 mod -725"
},
{
"role": "assistant",
"content": "<reasoning>\n218 mod -725: 218 = -725 × -1 + -507, so remainder = -507.\n</reasoning>\nFinal Answer: -507"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [8, 16, 17] and B = [7, 10, 11, 14, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 16].\n</reasoning>\nFinal Answer: [8, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 655 km apart. Their speeds are 79 km/h and 108 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+108=187 km/h. Time = 655/187 = 3.5027 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 30 = -530"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 16x = -560. Divide by 16: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -3 = -195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 8x = -192. Divide by 8: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [2, 80, 43, 65, 34, 72, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 2 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 35 + 4 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×35=1645 and 4×25=100, then add: 1745.\n</reasoning>\nFinal Answer: 1745"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [46, 100, 22, 75, 29, 29, 14, 65, 83, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 477/10 = 47.7.\n</reasoning>\nFinal Answer: 47.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 24, 32 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (24+32) × 39 = 1092.0.\n</reasoning>\nFinal Answer: 1092.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -756 + -40"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -756 and -40: -756 + -40 = -796.\n</reasoning>\nFinal Answer: -796"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [36, 17, 74, 71, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 33, 36, 71, 74]. Middle value(s) → median = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:45 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/45, so B = A × (45/49) = 83 × 45/49 = 76.2245.\n</reasoning>\nFinal Answer: 76.2245"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A bag has 2 red and 10 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 2/12 = 0.1667.\n</reasoning>\nFinal Answer: 0.1667"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 13 = -162"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 5x = -175. Divide by 5: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 1 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 1 × 4 = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40750 at 9% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40750 × 9 × 2 / 100 = 7335.0.\n</reasoning>\nFinal Answer: 7335.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 545 + -819"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 545 and -819: 545 + -819 = -274.\n</reasoning>\nFinal Answer: -274"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -615 ÷ -46"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -615 by -46. -615 ÷ -46 = 13 (integer division).\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 * 11/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/9) × (11/18) = (187/162) = 187/162 after simplification.\n</reasoning>\nFinal Answer: 187/162"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -659 - -852"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -852 from -659: -659 - -852 = 193.\n</reasoning>\nFinal Answer: 193"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [32, 53, 43, 56, 18, 36, 5, 94, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 338/9 = 37.5556.\n</reasoning>\nFinal Answer: 37.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 58, 46, 36, 21, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 58 - 1 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 36 + 30 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×36=1296 and 30×29=870, then add: 2166.\n</reasoning>\nFinal Answer: 2166"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 12 * 9 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×9=108, then 50+108-39=119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -935 × -107"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -935 by -107: -935 × -107 = 100045.\n</reasoning>\nFinal Answer: 100045"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -36 ÷ 600"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -36 by 600. -36 ÷ 600 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 63 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 63 × 52 = 3276.\n</reasoning>\nFinal Answer: 3276"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:48 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/48, so B = A × (48/12) = 83 × 48/12 = 332.0.\n</reasoning>\nFinal Answer: 332.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:44 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/44, so B = A × (44/10) = 15 × 44/10 = 66.0.\n</reasoning>\nFinal Answer: 66.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 13 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+13) × 41 = 881.5.\n</reasoning>\nFinal Answer: 881.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 1 = 127"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 3x = 126. Divide by 3: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -998 × 759"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -998 by 759: -998 × 759 = -757482.\n</reasoning>\nFinal Answer: -757482"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [63, 23, 87, 66, 80, 2, 70, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 421/8 = 52.625.\n</reasoning>\nFinal Answer: 52.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 122 + -18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 122 and -18: 122 + -18 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 985 × 972"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 985 by 972: 985 × 972 = 957420.\n</reasoning>\nFinal Answer: 957420"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 587 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 587 × (1 - 20/100) = 587 × 0.8 = 469.6.\n</reasoning>\nFinal Answer: 469.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 706 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 706 × (1 - 30/100) = 706 × 0.7 = 494.2.\n</reasoning>\nFinal Answer: 494.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 24) * (31 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+24)=58, (31-47)=-16, then 58×-16=-928.\n</reasoning>\nFinal Answer: -928"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 42 + 39 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×42=84 and 39×40=1560, then add: 1644.\n</reasoning>\nFinal Answer: 1644"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 436 km apart. Their speeds are 46 km/h and 73 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+73=119 km/h. Time = 436/119 = 3.6639 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 68 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(68+59) = 2×127 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | easy | [
"geometry",
"perimeter"
] |
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