messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the next term in the sequence: [27, 30, 33, 36, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 27 and common difference 3. Next term = 39 + 3 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 17, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (25-1)×17 = 4 + 408 = 412.\n</reasoning>\nFinal Answer: 412"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 28 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 28 = 476 worker-days. New time = 476 / 3 = 158.6667 days.\n</reasoning>\nFinal Answer: 158.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -450 + 788"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -450 and 788: -450 + 788 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -72 + -358"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -72 and -358: -72 + -358 = -430.\n</reasoning>\nFinal Answer: -430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:8 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/8, so B = A × (8/16) = 88 × 8/16 = 44.0.\n</reasoning>\nFinal Answer: 44.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -34 = 316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 7x = 350. Divide by 7: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [93, 70, 96, 11, 80, 65, 86, 67, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 65, 67, 70, 80, 86, 93, 96, 96]. Middle value(s) → median = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 43 = 3311.\n</reasoning>\nFinal Answer: 3311"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 49 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+49) × 21 = 525.0.\n</reasoning>\nFinal Answer: 525.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 39 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 39 × 58 = 2262.\n</reasoning>\nFinal Answer: 2262"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [5, 12, 13, 14] and B = [1, 4, 5, 7, 8, 9, 11, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [12, 13, 14].\n</reasoning>\nFinal Answer: [12, 13, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 85 = 3740.0.\n</reasoning>\nFinal Answer: 3740.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1017. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1017 × 28/100 = 284.76. Total = 1017 + 284.76 = 1301.76.\n</reasoning>\nFinal Answer: 1301.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 10 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+10) × 6 = 99.0.\n</reasoning>\nFinal Answer: 99.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 170 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 170 × (1 + 30/100) = 170 × 1.3 = 221.0.\n</reasoning>\nFinal Answer: 221.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:31 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/31, so B = A × (31/7) = 17 × 31/7 = 75.2857.\n</reasoning>\nFinal Answer: 75.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -314 + -583"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -314 and -583: -314 + -583 = -897.\n</reasoning>\nFinal Answer: -897"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "241 is what percentage of 346?"
},
{
"role": "assistant",
"content": "<reasoning>\n(241/346) × 100 = 69.6532%.\n</reasoning>\nFinal Answer: 69.6532%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/8 - 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/8 - 20/6. LCD = 24. Result = -65/24.\n</reasoning>\nFinal Answer: -65/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/1 + 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/1 + 15/17. Common denominator = 17. Result = 83/17.\n</reasoning>\nFinal Answer: 83/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 4 and 98."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(4,98) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 20 = -190"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 7x = -210. Divide by 7: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 114 and 130."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(114,130) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -28 = 934"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 26x = 962. Divide by 26: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 2 = 152"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 30x = 150. Divide by 30: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 619 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 619 × (1 + 30/100) = 619 × 1.3 = 804.7.\n</reasoning>\nFinal Answer: 804.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 21 * 15 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×15=315, then 43+315-41=317.\n</reasoning>\nFinal Answer: 317"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:26 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/26, so B = A × (26/40) = 42 × 26/40 = 27.3.\n</reasoning>\nFinal Answer: 27.3"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -28 = 86"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 19x = 114. Divide by 19: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 604 - 932"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 932 from 604: 604 - 932 = -328.\n</reasoning>\nFinal Answer: -328"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:14 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/14, so B = A × (14/8) = 56 × 14/8 = 98.0.\n</reasoning>\nFinal Answer: 98.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 12/1 * 11/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/1) × (11/20) = (132/20) = 33/5 after simplification.\n</reasoning>\nFinal Answer: 33/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:38 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/38, so B = A × (38/50) = 46 × 38/50 = 34.96.\n</reasoning>\nFinal Answer: 34.96"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 701 - 800"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 800 from 701: 701 - 800 = -99.\n</reasoning>\nFinal Answer: -99"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 79 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 79 × 24 = 1896.\n</reasoning>\nFinal Answer: 1896"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 44) * (29 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+44)=51, (29-35)=-6, then 51×-6=-306.\n</reasoning>\nFinal Answer: -306"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -48 = 260"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 28x = 308. Divide by 28: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 11, 18] and B = [4, 6, 7, 8, 12, 13, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 6, 7, 8, 11, 12, 13, 16, 18].\n</reasoning>\nFinal Answer: [1, 2, 4, 6, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 31, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 31 + 38 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 56 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(56+12) = 2×68 = 136.\n</reasoning>\nFinal Answer: 136"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 38 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 11+1444-43=1412.\n</reasoning>\nFinal Answer: 1412"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:26 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/26, so B = A × (26/26) = 98 × 26/26 = 98.0.\n</reasoning>\nFinal Answer: 98.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [13, 14, 15, 17, 19] and B = [5, 7, 11, 12, 14, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 7, 11, 12, 13, 15].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 140 km/h. How far does it travel in 6 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 15/60 = 6.2500 hours. Distance = speed × time = 140 × 6.2500 = 875.0 km.\n</reasoning>\nFinal Answer: 875.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 13, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (43-1)×13 = 40 + 546 = 586.\n</reasoning>\nFinal Answer: 586"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 60."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 60 by smallest primes repeatedly: 60 = 2 × 2 × 3 × 5.\n</reasoning>\nFinal Answer: 2 × 2 × 3 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 497 × 652"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 497 by 652: 497 × 652 = 324044.\n</reasoning>\nFinal Answer: 324044"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -938 - -740"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -740 from -938: -938 - -740 = -198.\n</reasoning>\nFinal Answer: -198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 26, 12, 48, 66, 26, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 12 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:48 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/48, so B = A × (48/4) = 48 × 48/4 = 576.0.\n</reasoning>\nFinal Answer: 576.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 + 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/1 + 13/4. Common denominator = 4. Result = 45/4.\n</reasoning>\nFinal Answer: 45/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 95 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(95+38) = 2×133 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 74 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 74 × 17 = 629.0.\n</reasoning>\nFinal Answer: 629.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×41)/1 = 943.\n</reasoning>\nFinal Answer: 943"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 10 = 34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 4x = 24. Divide by 4: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 687 ÷ 330"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 687 by 330. 687 ÷ 330 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 70% of 561?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 561 = (70/100) × 561 = 392.7.\n</reasoning>\nFinal Answer: 392.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 31, 42, 33, 93, 70, 55, 39, 42, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 466/10 = 46.6.\n</reasoning>\nFinal Answer: 46.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate: 5^4"
},
{
"role": "assistant",
"content": "<reasoning>\n5^4 = 5 × 5 × 5 × 5 = 625.\n</reasoning>\nFinal Answer: 625"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 25 = -19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 11x = -44. Divide by 11: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1441. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1441 × 28/100 = 403.48. Total = 1441 + 403.48 = 1844.48.\n</reasoning>\nFinal Answer: 1844.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -610 - -440"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -440 from -610: -610 - -440 = -170.\n</reasoning>\nFinal Answer: -170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 92, 22, 65, 67, 23, 98, 93, 42, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 623/10 = 62.3.\n</reasoning>\nFinal Answer: 62.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 17 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 15+289-31=273.\n</reasoning>\nFinal Answer: 273"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -36 × -927"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -36 by -927: -36 × -927 = 33372.\n</reasoning>\nFinal Answer: 33372"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 702 ÷ 743"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 702 by 743. 702 ÷ 743 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 180 km/h. How far does it travel in 4 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 55/60 = 4.9167 hours. Distance = speed × time = 180 × 4.9167 = 885.0 km.\n</reasoning>\nFinal Answer: 885.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 31 + -937"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 31 and -937: 31 + -937 = -906.\n</reasoning>\nFinal Answer: -906"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 16 = 32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 8x = 16. Divide by 8: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹4005. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4005 × 12/100 = 480.6. Total = 4005 + 480.6 = 4485.6.\n</reasoning>\nFinal Answer: 4485.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 43 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 43 × 29 = 1247.\n</reasoning>\nFinal Answer: 1247"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 15 = 120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 21x = 105. Divide by 21: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 5 * 15 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×15=75, then 23+75-16=82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 431 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 431 × (1 - 7/100) = 431 × 0.9299999999999999 = 400.83.\n</reasoning>\nFinal Answer: 400.83"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 764 km apart. Their speeds are 81 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 81+50=131 km/h. Time = 764/131 = 5.8321 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 18 = -42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 6x = -60. Divide by 6: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:6 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/6, so B = A × (6/14) = 95 × 6/14 = 40.7143.\n</reasoning>\nFinal Answer: 40.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 59 apples and buys 56 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 59 + 56 = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 19, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (15-1)×19 = 42 + 266 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [2, 39, 67, 57, 67, 61, 29, 71, 1, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 71 - 1 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 78, 9, 31, 24, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 298/6 = 49.6667.\n</reasoning>\nFinal Answer: 49.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 41 * 14 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×14=574, then 43+574-39=578.\n</reasoning>\nFinal Answer: 578"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -34 = 340"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 11x = 374. Divide by 11: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -559 mod 653"
},
{
"role": "assistant",
"content": "<reasoning>\n-559 mod 653: -559 = 653 × -1 + 94, so remainder = 94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -821 - -867"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -867 from -821: -821 - -867 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 76 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 76 × 50 = 1900.0.\n</reasoning>\nFinal Answer: 1900.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:2 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/2, so B = A × (2/1) = 56 × 2/1 = 112.0.\n</reasoning>\nFinal Answer: 112.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 11/17 - 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/17 - 11/13. LCD = 221. Result = -44/221.\n</reasoning>\nFinal Answer: -44/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -321 mod 724"
},
{
"role": "assistant",
"content": "<reasoning>\n-321 mod 724: -321 = 724 × -1 + 403, so remainder = 403.\n</reasoning>\nFinal Answer: 403"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [16, 75, 25, 3, 35, 40, 95, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 16, 25, 35, 40, 75, 89, 95]. Middle value(s) → median = 37.5.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 22) * (3 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+22)=68, (3-12)=-9, then 68×-9=-612.\n</reasoning>\nFinal Answer: -612"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:41 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/41, so B = A × (41/25) = 11 × 41/25 = 18.04.\n</reasoning>\nFinal Answer: 18.04"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 50, 24 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (50+24) × 44 = 1628.0.\n</reasoning>\nFinal Answer: 1628.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11394 at 16% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11394 × 16 × 8 / 100 = 14584.32.\n</reasoning>\nFinal Answer: 14584.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -290 × 750"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -290 by 750: -290 × 750 = -217500.\n</reasoning>\nFinal Answer: -217500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 * 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/9) × (11/5) = (99/45) = 11/5 after simplification.\n</reasoning>\nFinal Answer: 11/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 1 red and 5 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 5/6 = 0.8333.\n</reasoning>\nFinal Answer: 0.8333"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the range of: [34, 91, 55, 56, 49, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 34 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "35 is what percentage of 54?"
},
{
"role": "assistant",
"content": "<reasoning>\n(35/54) × 100 = 64.8148%.\n</reasoning>\nFinal Answer: 64.8148%"
}
] | medium | [
"percentage",
"ratio"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.