messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 38 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(38+23) = 2×61 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -45 = -171"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 3x = -126. Divide by 3: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -18 = -18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 10x = 0. Divide by 10: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -48 = -178"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 10x = -130. Divide by 10: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 + 5/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/10 + 5/7. Common denominator = 35. Result = 53/35.\n</reasoning>\nFinal Answer: 53/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 339."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 339 by smallest primes repeatedly: 339 = 3 × 113.\n</reasoning>\nFinal Answer: 3 × 113"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -37 = 859"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 28x = 896. Divide by 28: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 46."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×46)/2 = 874.\n</reasoning>\nFinal Answer: 874"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 20/19 - 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/19 - 3/15. LCD = 95. Result = 81/95.\n</reasoning>\nFinal Answer: 81/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -746 + 162"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -746 and 162: -746 + 162 = -584.\n</reasoning>\nFinal Answer: -584"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 995 km apart. Their speeds are 91 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+94=185 km/h. Time = 995/185 = 5.3784 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 145 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 145 × (1 + 75/100) = 145 × 1.75 = 253.75.\n</reasoning>\nFinal Answer: 253.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -535 - 304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 304 from -535: -535 - 304 = -839.\n</reasoning>\nFinal Answer: -839"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/2 * 11/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/2) × (11/6) = (165/12) = 55/4 after simplification.\n</reasoning>\nFinal Answer: 55/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 5, 8, 12, 15, 19] and B = [4, 5, 6, 9, 12, 13, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 4, 5, 6, 8, 9, 12, 13, 15, 18, 19].\n</reasoning>\nFinal An... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 21 = 75"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 18x = 54. Divide by 18: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -32 = 448"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 30x = 480. Divide by 30: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 10 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 10 = 180 worker-days. New time = 180 / 10 = 18.0 days.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4076. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4076 × 18/100 = 733.68. Total = 4076 + 733.68 = 4809.68.\n</reasoning>\nFinal Answer: 4809.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 21 = 642"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 23x = 621. Divide by 23: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 100 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 100 × 27 = 2700.\n</reasoning>\nFinal Answer: 2700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [8, 38, 30, 56, 60, 6, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 8, 30, 38, 56, 60, 90]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 9, 10, 11, 13, 18, 19] and B = [9, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 9, 10, 11, 13, 14, 15, 18, 19].\n</reasoning>\nFinal Answer: [3, 5, 9, 10, 11... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -962 - 603"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 603 from -962: -962 - 603 = -1565.\n</reasoning>\nFinal Answer: -1565"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 580 - 169"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 169 from 580: 580 - 169 = 411.\n</reasoning>\nFinal Answer: 411"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 44 = 824"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 30x = 780. Divide by 30: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 28 apples and buys 44 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 28 + 44 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 16 = -530"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 14x = -546. Divide by 14: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/15 - 2/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/15 - 2/15. LCD = 15. Result = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3692. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3692 × 5/100 = 184.6. Total = 3692 + 184.6 = 3876.6.\n</reasoning>\nFinal Answer: 3876.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 34 = 60"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 26x = 26. Divide by 26: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 20, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (35-1)×20 = 3 + 680 = 683.\n</reasoning>\nFinal Answer: 683"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:6 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/6, so B = A × (6/22) = 100 × 6/22 = 27.2727.\n</reasoning>\nFinal Answer: 27.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 31, 76, 65, 71, 4, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 419/7 = 59.8571.\n</reasoning>\nFinal Answer: 59.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 25 = -395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 10x = -420. Divide by 10: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 44 = 68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 3x = 24. Divide by 3: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹4611. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4611 × 18/100 = 829.98. Total = 4611 + 829.98 = 5440.98.\n</reasoning>\nFinal Answer: 5440.98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 37 = -1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 19x = -38. Divide by 19: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/3 - 2/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/3 - 2/9. LCD = 9. Result = 37/9.\n</reasoning>\nFinal Answer: 37/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 15 = 435"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 20x = 420. Divide by 20: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 112 km apart. Their speeds are 115 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+57=172 km/h. Time = 112/172 = 0.6512 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1007. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1007 × 18/100 = 181.26. Total = 1007 + 181.26 = 1188.26.\n</reasoning>\nFinal Answer: 1188.26"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/9 / 18/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/9) ÷ (18/11) = (13/9) × (11/18) = 143/162.\n</reasoning>\nFinal Answer: 143/162"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 27 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 27 × 80 = 2160.\n</reasoning>\nFinal Answer: 2160"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 972 + 107"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 972 and 107: 972 + 107 = 1079.\n</reasoning>\nFinal Answer: 1079"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 14 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 14 × 93 = 1302.\n</reasoning>\nFinal Answer: 1302"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -22 = -1102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 30x = -1080. Divide by 30: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 9 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 9 × 88 = 792.\n</reasoning>\nFinal Answer: 792"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 40 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [49, 57, 93, 81, 43, 70, 26, 80, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 26 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 111 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 111 × (1 - 90/100) = 111 × 0.09999999999999998 = 11.1.\n</reasoning>\nFinal Answer: 11.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:15 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/15, so B = A × (15/4) = 45 × 15/4 = 168.75.\n</reasoning>\nFinal Answer: 168.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -26 = -23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 1x = 3. Divide by 1: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -11 = -33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 2x = -22. Divide by 2: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -21 = 609"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 14x = 630. Divide by 14: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (4)x + (-8) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×4×-8 = 144. √discriminant = 12. x = (-(4) ± 12) / (2×4). Solutions: x = 1 or x = -2.\n</reasoning>\nFinal Answer: x = 1 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 16 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 16+256-47=225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 808 × 103"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 808 by 103: 808 × 103 = 83224.\n</reasoning>\nFinal Answer: 83224"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -28 = 164"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 12x = 192. Divide by 12: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 - 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/12 - 11/1. LCD = 6. Result = -65/6.\n</reasoning>\nFinal Answer: -65/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 38) * (37 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+38)=47, (37-13)=24, then 47×24=1128.\n</reasoning>\nFinal Answer: 1128"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 24, 64, 20, 97, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 254/6 = 42.3333.\n</reasoning>\nFinal Answer: 42.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 314 + 791"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 314 and 791: 314 + 791 = 1105.\n</reasoning>\nFinal Answer: 1105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 715 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 715 × (1 + 35/100) = 715 × 1.35 = 965.25.\n</reasoning>\nFinal Answer: 965.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:12 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/12, so B = A × (12/19) = 9 × 12/19 = 5.6842.\n</reasoning>\nFinal Answer: 5.6842"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 310 km apart. Their speeds are 84 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+71=155 km/h. Time = 310/155 = 2.0 hours.\n</reasoning>\nFinal Answer: 2... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 148 apples and buys 105 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 148 + 105 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 67 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 67 × 93 = 6231.\n</reasoning>\nFinal Answer: 6231"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 139 apples and buys 189 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 139 + 189 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/4 - 12/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/4 - 12/19. LCD = 19. Result = 64/19.\n</reasoning>\nFinal Answer: 64/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 25 = 403"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 14x = 378. Divide by 14: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 111 apples and buys 138 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 111 + 138 = 249.\n</reasoning>\nFinal Answer: 249"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 + 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/15 + 4/19. Common denominator = 57. Result = 88/57.\n</reasoning>\nFinal Answer: 88/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 24 + 49 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×24=1056 and 49×15=735, then add: 1791.\n</reasoning>\nFinal Answer: 1791"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 118 km/h. How far does it travel in 11 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 49/60 = 11.8167 hours. Distance = speed × time = 118 × 11.8167 = 1394.3667 km.\n</reasoning>\nFinal Answer: 1394.3667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19464 at 7% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19464 × 7 × 8 / 100 = 10899.84.\n</reasoning>\nFinal Answer: 10899.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [7, 36, 70, 72, 90, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {7: 1, 36: 1, 70: 1, 72: 1, 90: 1, 28: 1}. Most frequent: [7, 36, 70, 72, 90, 28].\n</reasoning>\nFinal Answer: [7, 36, 70, 72, 90, 28]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -26 = 1196"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 26x = 1222. Divide by 26: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/12 / 5/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/12) ÷ (5/16) = (18/12) × (16/5) = 24/5.\n</reasoning>\nFinal Answer: 24/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 9 = 295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 22x = 286. Divide by 22: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 4 = 176.0.\n</reasoning>\nFinal Answer: 176.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 760 mod -628"
},
{
"role": "assistant",
"content": "<reasoning>\n760 mod -628: 760 = -628 × -2 + -496, so remainder = -496.\n</reasoning>\nFinal Answer: -496"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 43 apples and buys 184 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 43 + 184 = 227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 + 10/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/15 + 10/18. Common denominator = 45. Result = 58/45.\n</reasoning>\nFinal Answer: 58/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [54, 90, 55, 35, 98, 14, 23, 6, 74, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {54: 1, 90: 1, 55: 1, 35: 1, 98: 1, 14: 1, 23: 1, 6: 1, 74: 1, 12: 1}. Most frequent: [54, 90, 55, 35, 98, 14, 23, 6, 74, 12].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 147 apples and buys 36 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 147 + 36 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 48 + 22 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×48=1632 and 22×1=22, then add: 1654.\n</reasoning>\nFinal Answer: 1654"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 861 - -741"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -741 from 861: 861 - -741 = 1602.\n</reasoning>\nFinal Answer: 1602"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 505 - 304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 304 from 505: 505 - 304 = 201.\n</reasoning>\nFinal Answer: 201"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/13 - 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/13 - 16/6. LCD = 39. Result = -71/39.\n</reasoning>\nFinal Answer: -71/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 99 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 99 × 100 = 9900.\n</reasoning>\nFinal Answer: 9900"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -3 = 7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 10x = 10. Divide by 10: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 8, 10, 13, 18] and B = [9, 12, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 6, 8, 10, 13, 18].\n</reasoning>\nFinal Answer: [2, 3, 6, 8, 10, 13, 18]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 + 2/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/9 + 2/10. Common denominator = 45. Result = 109/45.\n</reasoning>\nFinal Answer: 109/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 69 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(69,47) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -673 ÷ 44"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -673 by 44. -673 ÷ 44 = -16 (integer division).\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 35 * 27 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×27=945, then 19+945-3=961.\n</reasoning>\nFinal Answer: 961"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 67, 78, 87, 9, 62, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 9 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 8 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+8) × 28 = 210.0.\n</reasoning>\nFinal Answer: 210.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 481 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 481 × (1 + 3/100) = 481 × 1.03 = 495.43.\n</reasoning>\nFinal Answer: 495.43"
}
] | easy | [
"percentage",
"arithmetic"
] |
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