messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 26x + 22 = 1140"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 26x = 1118. Divide by 26: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1580. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1580 × 12/100 = 189.6. Total = 1580 + 189.6 = 1769.6.\n</reasoning>\nFinal Answer: 1769.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:28 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/28, so B = A × (28/28) = 52 × 28/28 = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -44 = -60"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 8x = -16. Divide by 8: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 859 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 859 × (1 - 90/100) = 859 × 0.09999999999999998 = 85.9.\n</reasoning>\nFinal Answer: 85.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 5 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 5 = 45 worker-days. New time = 45 / 7 = 6.4286 days.\n</reasoning>\nFinal Answer: 6.4286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 30, 92, 85, 99, 58, 3, 52, 71, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 26, 28, 30, 52, 58, 71, 85, 92, 99]. Middle value(s) → median = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -1 ÷ 92"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -1 by 92. -1 ÷ 92 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 13 and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (13×25)/1 = 325.\n</reasoning>\nFinal Answer: 325"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44156 at 13% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44156 × 13 × 1 / 100 = 5740.28.\n</reasoning>\nFinal Answer: 5740.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [1, 67, 88, 85, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 29, 67, 85, 88]. Middle value(s) → median = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [91, 56, 54, 37, 51, 84, 68, 24, 84, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 37, 51, 54, 56, 68, 71, 84, 84, 91]. Middle value(s) → median = 62.0.\n</reasoning>\nFinal Answer: 62.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 11/1 / 5/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/1) ÷ (5/2) = (11/1) × (2/5) = 22/5.\n</reasoning>\nFinal Answer: 22/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -37 = -12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 5x = 25. Divide by 5: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "207 is what percentage of 769?"
},
{
"role": "assistant",
"content": "<reasoning>\n(207/769) × 100 = 26.9181%.\n</reasoning>\nFinal Answer: 26.9181%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -761 - 967"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 967 from -761: -761 - 967 = -1728.\n</reasoning>\nFinal Answer: -1728"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [52, 58, 85, 93, 29, 56, 74, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 516/8 = 64.5.\n</reasoning>\nFinal Answer: 64.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -1 ÷ -168"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -1 by -168. -1 ÷ -168 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [36, 54, 91, 78, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {36: 1, 54: 1, 91: 1, 78: 1, 93: 1}. Most frequent: [36, 54, 91, 78, 93].\n</reasoning>\nFinal Answer: [36, 54, 91, 78, 93]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:4 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/4, so B = A × (4/11) = 81 × 4/11 = 29.4545.\n</reasoning>\nFinal Answer: 29.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 7, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (40-1)×7 = 35 + 273 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 712 ÷ -695"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 712 by -695. 712 ÷ -695 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 180 km/h. How far does it travel in 7 hours and 22 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 22/60 = 7.3667 hours. Distance = speed × time = 180 × 7.3667 = 1326.0 km.\n</reasoning>\nFinal Answer: 1326.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 4 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(4+2) = 2×6 = 12.\n</reasoning>\nFinal Answer: 12"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 173 and 182."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(173,182) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -858 + 105"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -858 and 105: -858 + 105 = -753.\n</reasoning>\nFinal Answer: -753"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 + 7/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/15 + 7/8. Common denominator = 120. Result = 169/120.\n</reasoning>\nFinal Answer: 169/120"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 2 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 2 × 35 = 35.0.\n</reasoning>\nFinal Answer: 35.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 28 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+28) × 26 = 910.0.\n</reasoning>\nFinal Answer: 910.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-27)x + (-30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -27² - 4×3×-30 = 1089. √discriminant = 33. x = (-(-27) ± 33) / (2×3). Solutions: x = -1 or x = 10.\n</reasoning>\nFinal Answer: x = -1 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 865 - -868"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -868 from 865: 865 - -868 = 1733.\n</reasoning>\nFinal Answer: 1733"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/6 + 15/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/6 + 15/5. Common denominator = 6. Result = 35/6.\n</reasoning>\nFinal Answer: 35/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 642 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 642 × (1 - 80/100) = 642 × 0.19999999999999996 = 128.4.\n</reasoning>\nFinal Answer: 128.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 324 × 715"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 324 by 715: 324 × 715 = 231660.\n</reasoning>\nFinal Answer: 231660"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×39)/1 = 1677.\n</reasoning>\nFinal Answer: 1677"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -2 = 73"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 15x = 75. Divide by 15: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 809 km apart. Their speeds are 46 km/h and 67 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+67=113 km/h. Time = 809/113 = 7.1593 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -23 + -988"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -23 and -988: -23 + -988 = -1011.\n</reasoning>\nFinal Answer: -1011"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 117 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(117,20) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -33 mod 507"
},
{
"role": "assistant",
"content": "<reasoning>\n-33 mod 507: -33 = 507 × -1 + 474, so remainder = 474.\n</reasoning>\nFinal Answer: 474"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/2 - 1/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/2 - 1/10. LCD = 10. Result = 2/5.\n</reasoning>\nFinal Answer: 2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 79 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 79 × 50 = 3950.\n</reasoning>\nFinal Answer: 3950"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -999 ÷ 30"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -999 by 30. -999 ÷ 30 = -34 (integer division).\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 20, 7, 27, 88, 30, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 2, 20: 1, 7: 1, 27: 1, 88: 1, 82: 1}. Most frequent: 30.\n</reasoning>\nFinal Answer: 30"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "93 is what percentage of 252?"
},
{
"role": "assistant",
"content": "<reasoning>\n(93/252) × 100 = 36.9048%.\n</reasoning>\nFinal Answer: 36.9048%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 782 ÷ -372"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 782 by -372. 782 ÷ -372 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -19 = -451"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 24x = -432. Divide by 24: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 34 + 13 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×34=918 and 13×5=65, then add: 983.\n</reasoning>\nFinal Answer: 983"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "651 is what percentage of 995?"
},
{
"role": "assistant",
"content": "<reasoning>\n(651/995) × 100 = 65.4271%.\n</reasoning>\nFinal Answer: 65.4271%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 8/6 / 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/6) ÷ (10/4) = (8/6) × (4/10) = 8/15.\n</reasoning>\nFinal Answer: 8/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [67, 91, 17, 17, 37, 6, 84, 98, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {67: 1, 91: 1, 17: 2, 37: 1, 6: 1, 84: 1, 98: 1, 94: 1}. Most frequent: 17.\n</reasoning>\nFinal Answer: 17"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 328 km apart. Their speeds are 95 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 95+86=181 km/h. Time = 328/181 = 1.8122 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [53, 97, 44, 95, 30, 18, 17, 63, 38, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 18, 30, 35, 38, 44, 53, 63, 95, 97]. Middle value(s) → median = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×23)/1 = 989.\n</reasoning>\nFinal Answer: 989"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -993 × -745"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -993 by -745: -993 × -745 = 739785.\n</reasoning>\nFinal Answer: 739785"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/16 * 19/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/16) × (19/5) = (95/80) = 19/16 after simplification.\n</reasoning>\nFinal Answer: 19/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 7 = 857"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 17x = 850. Divide by 17: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 67 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 67 × 17 = 569.5.\n</reasoning>\nFinal Answer: 569.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -637 - -680"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -680 from -637: -637 - -680 = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [43, 47, 51, 55, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 43 and common difference 4. Next term = 59 + 4 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 159 apples and buys 2 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 159 + 2 = 161.\n</reasoning>\nFinal Answer: 161"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 36 * 45 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×45=1620, then 7+1620-44=1583.\n</reasoning>\nFinal Answer: 1583"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 23, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 23 + 37 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 6, 52, 30, 83, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 30, 52, 71, 83, 98]. Middle value(s) → median = 61.5.\n</reasoning>\nFinal Answer: 61.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:20 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/20, so B = A × (20/17) = 67 × 20/17 = 78.8235.\n</reasoning>\nFinal Answer: 78.8235"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 - 15/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/9 - 15/6. LCD = 6. Result = -7/6.\n</reasoning>\nFinal Answer: -7/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "575 is what percentage of 656?"
},
{
"role": "assistant",
"content": "<reasoning>\n(575/656) × 100 = 87.6524%.\n</reasoning>\nFinal Answer: 87.6524%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -50 = 76"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 7x = 126. Divide by 7: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [24, 18, 27, 46, 15, 86, 40, 12, 7, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 7 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [56, 87, 19, 90, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 56, 85, 87, 90]. Middle value(s) → median = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 47 = -235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 6x = -282. Divide by 6: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [36, 41, 46, 51, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 36 and common difference 5. Next term = 56 + 5 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 27 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 27 × 3 = 40.5.\n</reasoning>\nFinal Answer: 40.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/1 / 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/1) ÷ (5/13) = (10/1) × (13/5) = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 147 and 132."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(147,132) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹2222. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2222 × 5/100 = 111.1. Total = 2222 + 111.1 = 2333.1.\n</reasoning>\nFinal Answer: 2333.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [20, 79, 20, 41, 67, 32, 2, 40, 68, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 20, 20, 32, 40, 41, 46, 67, 68, 79]. Middle value(s) → median = 40.5.\n</reasoning>\nFinal Answer: 40.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:4 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/4, so B = A × (4/32) = 73 × 4/32 = 9.125.\n</reasoning>\nFinal Answer: 9.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 45 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 41+2025-26=2040.\n</reasoning>\nFinal Answer: 2040"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 * 11/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/17) × (11/12) = (44/204) = 11/51 after simplification.\n</reasoning>\nFinal Answer: 11/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:38 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/38, so B = A × (38/31) = 56 × 38/31 = 68.6452.\n</reasoning>\nFinal Answer: 68.6452"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -344 ÷ 507"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -344 by 507. -344 ÷ 507 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -262 - -723"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -723 from -262: -262 - -723 = 461.\n</reasoning>\nFinal Answer: 461"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 10 + 18 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×10=460 and 18×3=54, then add: 514.\n</reasoning>\nFinal Answer: 514"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 747 + -291"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 747 and -291: 747 + -291 = 456.\n</reasoning>\nFinal Answer: 456"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 49 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 29+2401-3=2427.\n</reasoning>\nFinal Answer: 2427"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 36 = -559"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 17x = -595. Divide by 17: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 162 ÷ -759"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 162 by -759. 162 ÷ -759 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 234 km apart. Their speeds are 95 km/h and 93 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 95+93=188 km/h. Time = 234/188 = 1.2447 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 11 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+11) × 38 = 608.0.\n</reasoning>\nFinal Answer: 608.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 245 ÷ 440"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 245 by 440. 245 ÷ 440 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 11, 14] and B = [1, 2, 4, 7, 13, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1].\n</reasoning>\nFinal Answer: [1]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 13) * (31 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+13)=58, (31-11)=20, then 58×20=1160.\n</reasoning>\nFinal Answer: 1160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 11, 14] and B = [1, 2, 3, 8, 9, 12, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 4, 8, 9, 11, 12, 14, 17, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -574 ÷ -367"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -574 by -367. -574 ÷ -367 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 48 * 32 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×32=1536, then 5+1536-27=1514.\n</reasoning>\nFinal Answer: 1514"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 5 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 4/9 = 0.4444.\n</reasoning>\nFinal Answer: 0.4444"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -40 = 885"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 25x = 925. Divide by 25: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 97, 8, 91, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 266/5 = 53.2.\n</reasoning>\nFinal Answer: 53.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 213 × -697"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 213 by -697: 213 × -697 = -148461.\n</reasoning>\nFinal Answer: -148461"
}
] | medium | [
"arithmetic",
"computation"
] |
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