messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 29x + 5 = 1165"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 29x = 1160. Divide by 29: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 23 = 359"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 24x = 336. Divide by 24: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:23 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/23, so B = A × (23/14) = 41 × 23/14 = 67.3571.\n</reasoning>\nFinal Answer: 67.3571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 69 and width 14."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(69+14) = 2×83 = 166.\n</reasoning>\nFinal Answer: 166"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 0 = 513"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 27x = 513. Divide by 27: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 17 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+17) × 40 = 380.0.\n</reasoning>\nFinal Answer: 380.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 87, 83, 19, 90, 53, 24, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 87: 1, 83: 1, 19: 1, 90: 1, 53: 1, 24: 1, 59: 1}. Most frequent: [91, 87, 83, 19, 90, 53, 24, 59].\n</reasoning>\nFinal Answer: [91, 87,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [13, 16, 18, 19] and B = [1, 4, 7, 10, 12, 13, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 7, 10, 12, 18].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 54 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 54 × 70 = 3780.\n</reasoning>\nFinal Answer: 3780"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹3080. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3080 × 12/100 = 369.6. Total = 3080 + 369.6 = 3449.6.\n</reasoning>\nFinal Answer: 3449.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 66 and 158."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(66,158) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -45 = -245"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 5x = -200. Divide by 5: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 34 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(34+53) = 2×87 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 942 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 942 × (1 + 15/100) = 942 × 1.15 = 1083.3.\n</reasoning>\nFinal Answer: 1083.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48159 at 4% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48159 × 4 × 7 / 100 = 13484.52.\n</reasoning>\nFinal Answer: 13484.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -42 = -112"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 14x = -70. Divide by 14: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "411 is what percentage of 743?"
},
{
"role": "assistant",
"content": "<reasoning>\n(411/743) × 100 = 55.3163%.\n</reasoning>\nFinal Answer: 55.3163%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16539 at 15% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16539 × 15 × 2 / 100 = 4961.7.\n</reasoning>\nFinal Answer: 4961.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 17 = -367"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 24x = -384. Divide by 24: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 126 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 126 × (1 - 3/100) = 126 × 0.97 = 122.22.\n</reasoning>\nFinal Answer: 122.22"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 19, 19, 30, 82, 84, 30, 87, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 19, 30, 30, 57, 82, 84, 87, 100]. Middle value(s) → median = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [24, 38, 52, 66, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 24 and common difference 14. Next term = 80 + 14 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 45 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 45 × 71 = 1597.5.\n</reasoning>\nFinal Answer: 1597.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/17 + 16/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/17 + 16/14. Common denominator = 119. Result = 234/119.\n</reasoning>\nFinal Answer: 234/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:43 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/43, so B = A × (43/43) = 41 × 43/43 = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 3/6 * 19/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/6) × (19/6) = (57/36) = 19/12 after simplification.\n</reasoning>\nFinal Answer: 19/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 274 + -357"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 274 and -357: 274 + -357 = -83.\n</reasoning>\nFinal Answer: -83"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -604 ÷ 727"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -604 by 727. -604 ÷ 727 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 97 apples and buys 149 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 97 + 149 = 246.\n</reasoning>\nFinal Answer: 246"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×27)/1 = 1323.\n</reasoning>\nFinal Answer: 1323"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 19, and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 19 + 22 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 17/16 / 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/16) ÷ (14/17) = (17/16) × (17/14) = 289/224.\n</reasoning>\nFinal Answer: 289/224"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -20 = -210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 19x = -190. Divide by 19: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 428 + 323"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 428 and 323: 428 + 323 = 751.\n</reasoning>\nFinal Answer: 751"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -29 × -285"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -29 by -285: -29 × -285 = 8265.\n</reasoning>\nFinal Answer: 8265"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 321 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 321 × (1 - 90/100) = 321 × 0.09999999999999998 = 32.1.\n</reasoning>\nFinal Answer: 32.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 304 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 304 × (1 + 30/100) = 304 × 1.3 = 395.2.\n</reasoning>\nFinal Answer: 395.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31089 at 16% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31089 × 16 × 2 / 100 = 9948.48.\n</reasoning>\nFinal Answer: 9948.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [28, 26, 98, 94, 43, 8, 2, 79, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 2 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 50 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+50) × 36 = 1440.0.\n</reasoning>\nFinal Answer: 1440.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 329 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 329 × (1 - 12/100) = 329 × 0.88 = 289.52.\n</reasoning>\nFinal Answer: 289.52"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 8, 9, 10, 13, 17] and B = [2, 9, 10, 12, 15, 17, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 7, 8, 9, 10, 12, 13, 15, 17, 18, 19].\n</reasoning>\nFinal Answ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -29 = -264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 5x = -235. Divide by 5: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 998 km apart. Their speeds are 109 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+83=192 km/h. Time = 998/192 = 5.1979 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 34 = 338"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 16x = 304. Divide by 16: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -675 mod -489"
},
{
"role": "assistant",
"content": "<reasoning>\n-675 mod -489: -675 = -489 × 1 + -186, so remainder = -186.\n</reasoning>\nFinal Answer: -186"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A bag has 3 red and 3 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 3/6 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 15, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (13-1)×15 = 39 + 180 = 219.\n</reasoning>\nFinal Answer: 219"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 45 + 35 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×45=1215 and 35×32=1120, then add: 2335.\n</reasoning>\nFinal Answer: 2335"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 30 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 10+900-29=881.\n</reasoning>\nFinal Answer: 881"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 111 × -476"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 111 by -476: 111 × -476 = -52836.\n</reasoning>\nFinal Answer: -52836"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/19 / 5/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/19) ÷ (5/6) = (2/19) × (6/5) = 12/95.\n</reasoning>\nFinal Answer: 12/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 781 ÷ 254"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 781 by 254. 781 ÷ 254 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22762 at 15% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22762 × 15 × 7 / 100 = 23900.1.\n</reasoning>\nFinal Answer: 23900.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -7 = -277"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 9x = -270. Divide by 9: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 39 × 385"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 39 by 385: 39 × 385 = 15015.\n</reasoning>\nFinal Answer: 15015"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 698 ÷ -922"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 698 by -922. 698 ÷ -922 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 530 + 817"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 530 and 817: 530 + 817 = 1347.\n</reasoning>\nFinal Answer: 1347"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 180 apples and buys 176 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 180 + 176 = 356.\n</reasoning>\nFinal Answer: 356"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A bag has 6 red and 10 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 6/16 = 0.375.\n</reasoning>\nFinal Answer: 0.375"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×21)/1 = 966.\n</reasoning>\nFinal Answer: 966"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 12, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (25-1)×12 = 34 + 288 = 322.\n</reasoning>\nFinal Answer: 322"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 16 = -32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 8x = -48. Divide by 8: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 15] and B = [1, 13, 14, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 13, 14, 15, 17, 19].\n</reasoning>\nFinal Answer: [1, 2, 13, 14, 15, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 17/15 + 10/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/15 + 10/18. Common denominator = 45. Result = 76/45.\n</reasoning>\nFinal Answer: 76/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 568 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 568 × (1 + 90/100) = 568 × 1.9 = 1079.2.\n</reasoning>\nFinal Answer: 1079.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 20% of 119?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 119 = (20/100) × 119 = 23.8.\n</reasoning>\nFinal Answer: 23.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 83 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(83+3) = 2×86 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 229."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 229 by smallest primes repeatedly: 229 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Decrease 726 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 726 × (1 - 65/100) = 726 × 0.35 = 254.1.\n</reasoning>\nFinal Answer: 254.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -980 ÷ 42"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -980 by 42. -980 ÷ 42 = -24 (integer division).\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:41 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/41, so B = A × (41/16) = 49 × 41/16 = 125.5625.\n</reasoning>\nFinal Answer: 125.5625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 784 × -906"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 784 by -906: 784 × -906 = -710304.\n</reasoning>\nFinal Answer: -710304"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-15)x + (-108) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×3×-108 = 1521. √discriminant = 39. x = (-(-15) ± 39) / (2×3). Solutions: x = 9 or x = -4.\n</reasoning>\nFinal Answer: x = 9 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -33 = 13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 23x = 46. Divide by 23: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 30 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 30 × 53 = 1590.\n</reasoning>\nFinal Answer: 1590"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/20 + 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/20 + 1/3. Common denominator = 6. Result = 5/6.\n</reasoning>\nFinal Answer: 5/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [17, 42, 3, 69, 90, 33, 12, 75, 59, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 457/10 = 45.7.\n</reasoning>\nFinal Answer: 45.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 3 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 3 × 17 = 25.5.\n</reasoning>\nFinal Answer: 25.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -310 + 107"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -310 and 107: -310 + 107 = -203.\n</reasoning>\nFinal Answer: -203"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27639 at 18% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27639 × 18 × 1 / 100 = 4975.02.\n</reasoning>\nFinal Answer: 4975.02"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -568 mod 579"
},
{
"role": "assistant",
"content": "<reasoning>\n-568 mod 579: -568 = 579 × -1 + 11, so remainder = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [26, 82, 9, 35, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {26: 1, 82: 1, 9: 1, 35: 1, 16: 1}. Most frequent: [26, 82, 9, 35, 16].\n</reasoning>\nFinal Answer: [26, 82, 9, 35, 16]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 16, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (45-1)×16 = 4 + 704 = 708.\n</reasoning>\nFinal Answer: 708"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 55 apples and buys 94 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 55 + 94 = 149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [92, 23, 63, 3, 39, 81, 89, 19, 5, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {92: 1, 23: 1, 63: 1, 3: 1, 39: 1, 81: 1, 89: 1, 19: 1, 5: 1, 41: 1}. Most frequent: [92, 23, 63, 3, 39, 81, 89, 19, 5, 41].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 37 + 31 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×37=1036 and 31×21=651, then add: 1687.\n</reasoning>\nFinal Answer: 1687"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47007 at 2% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47007 × 2 × 3 / 100 = 2820.42.\n</reasoning>\nFinal Answer: 2820.42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 94 and width 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 94 × 34 = 3196.\n</reasoning>\nFinal Answer: 3196"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 7, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (44-1)×7 = 42 + 301 = 343.\n</reasoning>\nFinal Answer: 343"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 33, 23 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (33+23) × 19 = 532.0.\n</reasoning>\nFinal Answer: 532.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 6, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (14-1)×6 = 23 + 78 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 22 = -8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 15x = -30. Divide by 15: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 890 + -947"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 890 and -947: 890 + -947 = -57.\n</reasoning>\nFinal Answer: -57"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 14, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (44-1)×14 = 15 + 602 = 617.\n</reasoning>\nFinal Answer: 617"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:49 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/49, so B = A × (49/15) = 79 × 49/15 = 258.0667.\n</reasoning>\nFinal Answer: 258.0667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -34 = 66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 10x = 100. Divide by 10: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 496 + 910"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 496 and 910: 496 + 910 = 1406.\n</reasoning>\nFinal Answer: 1406"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 92, 50, 68, 77, 100, 20, 92, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 20, 50, 68, 76, 77, 92, 92, 100]. Middle value(s) → median = 76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 70 = 4900.\n</reasoning>\nFinal Answer: 4900"
}
] | easy | [
"geometry",
"area"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.