messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the prime factorization of 205."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 205 by smallest primes repeatedly: 205 = 5 × 41.\n</reasoning>\nFinal Answer: 5 × 41"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:18 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/18, so B = A × (18/26) = 79 × 18/26 = 54.6923.\n</reasoning>\nFinal Answer: 54.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "217 is what percentage of 389?"
},
{
"role": "assistant",
"content": "<reasoning>\n(217/389) × 100 = 55.7841%.\n</reasoning>\nFinal Answer: 55.7841%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 72 × -56"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 72 by -56: 72 × -56 = -4032.\n</reasoning>\nFinal Answer: -4032"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/8 * 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/8) × (17/7) = (136/56) = 17/7 after simplification.\n</reasoning>\nFinal Answer: 17/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 57 and width 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 57 × 24 = 1368.\n</reasoning>\nFinal Answer: 1368"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [16, 4, 54, 46, 88, 96, 13, 47, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 4 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 34 = -395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 13x = -429. Divide by 13: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 623 × 333"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 623 by 333: 623 × 333 = 207459.\n</reasoning>\nFinal Answer: 207459"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:50 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/50, so B = A × (50/42) = 51 × 50/42 = 60.7143.\n</reasoning>\nFinal Answer: 60.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 24 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 20+576-28=568.\n</reasoning>\nFinal Answer: 568"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 13) * (38 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+13)=40, (38-29)=9, then 40×9=360.\n</reasoning>\nFinal Answer: 360"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 43 * 4 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×4=172, then 48+172-39=181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/8 * 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/8) × (18/4) = (54/32) = 27/16 after simplification.\n</reasoning>\nFinal Answer: 27/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -83 × -306"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -83 by -306: -83 × -306 = 25398.\n</reasoning>\nFinal Answer: 25398"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/1 * 15/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/1) × (15/14) = (15/14) = 15/14 after simplification.\n</reasoning>\nFinal Answer: 15/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 90% of 713?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 713 = (90/100) × 713 = 641.7.\n</reasoning>\nFinal Answer: 641.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 69, 31, 93, 72, 88, 5, 15, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 483/9 = 53.6667.\n</reasoning>\nFinal Answer: 53.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 3 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+3) × 49 = 686.0.\n</reasoning>\nFinal Answer: 686.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 60% of 390?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 390 = (60/100) × 390 = 234.0.\n</reasoning>\nFinal Answer: 234.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [90, 100, 44, 88, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [44, 58, 88, 90, 100]. Middle value(s) → median = 88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 315 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 315 × (1 + 70/100) = 315 × 1.7 = 535.5.\n</reasoning>\nFinal Answer: 535.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 17% of 762?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 762 = (17/100) × 762 = 129.54.\n</reasoning>\nFinal Answer: 129.54"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -318 mod 295"
},
{
"role": "assistant",
"content": "<reasoning>\n-318 mod 295: -318 = 295 × -2 + 272, so remainder = 272.\n</reasoning>\nFinal Answer: 272"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -42 = 1085"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 23x = 1127. Divide by 23: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 109 apples and buys 102 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 109 + 102 = 211.\n</reasoning>\nFinal Answer: 211"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 10, 25, 43, 86, 63, 63, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 23, 25, 43, 57, 63, 63, 86]. Middle value(s) → median = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -393 × -397"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -393 by -397: -393 × -397 = 156021.\n</reasoning>\nFinal Answer: 156021"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 7, 11, 12, 14, 19] and B = [5, 10, 11, 15, 16, 17, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 6, 7, 10, 11, 12, 14, 15, 16, 17, 18, 19].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 6 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+6) × 16 = 320.0.\n</reasoning>\nFinal Answer: 320.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -49 = -725"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 26x = -676. Divide by 26: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 35) * (10 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+35)=40, (10-45)=-35, then 40×-35=-1400.\n</reasoning>\nFinal Answer: -1400"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 12% of 130?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 130 = (12/100) × 130 = 15.6.\n</reasoning>\nFinal Answer: 15.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 154 km apart. Their speeds are 103 km/h and 118 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+118=221 km/h. Time = 154/221 = 0.6968 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 157 × 207"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 157 by 207: 157 × 207 = 32499.\n</reasoning>\nFinal Answer: 32499"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:23 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/23, so B = A × (23/1) = 83 × 23/1 = 1909.0.\n</reasoning>\nFinal Answer: 1909.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 3, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (48-1)×3 = 7 + 141 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 3/14 + 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/14 + 8/1. Common denominator = 14. Result = 115/14.\n</reasoning>\nFinal Answer: 115/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 177 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n177 = 3 × 59, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Simplify: 14/19 + 16/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/19 + 16/1. Common denominator = 19. Result = 318/19.\n</reasoning>\nFinal Answer: 318/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/3 - 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/3 - 17/20. LCD = 60. Result = 209/60.\n</reasoning>\nFinal Answer: 209/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 / 5/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/14) ÷ (5/10) = (2/14) × (10/5) = 2/7.\n</reasoning>\nFinal Answer: 2/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 19 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 19 × 73 = 1387.\n</reasoning>\nFinal Answer: 1387"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -540 × 673"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -540 by 673: -540 × 673 = -363420.\n</reasoning>\nFinal Answer: -363420"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 39 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+39) × 44 = 1606.0.\n</reasoning>\nFinal Answer: 1606.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 750 mod -443"
},
{
"role": "assistant",
"content": "<reasoning>\n750 mod -443: 750 = -443 × -2 + -136, so remainder = -136.\n</reasoning>\nFinal Answer: -136"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 * 20/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/19) × (20/4) = (80/76) = 20/19 after simplification.\n</reasoning>\nFinal Answer: 20/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-16)x + (-84) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -16² - 4×4×-84 = 1600. √discriminant = 40. x = (-(-16) ± 40) / (2×4). Solutions: x = -3 or x = 7.\n</reasoning>\nFinal Answer: x = -3 or x = 7... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -474 - 73"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 73 from -474: -474 - 73 = -547.\n</reasoning>\nFinal Answer: -547"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 606 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 606 × (1 + 100/100) = 606 × 2.0 = 1212.0.\n</reasoning>\nFinal Answer: 1212.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×22)/1 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Increase 429 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 429 × (1 + 25/100) = 429 × 1.25 = 536.25.\n</reasoning>\nFinal Answer: 536.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 67, 72, 80, 84, 39, 29, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 15 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 44, 29 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (44+29) × 4 = 146.0.\n</reasoning>\nFinal Answer: 146.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 42 * 19 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×19=798, then 8+798-20=786.\n</reasoning>\nFinal Answer: 786"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 4 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 4 × (1 - 15/100) = 4 × 0.85 = 3.4.\n</reasoning>\nFinal Answer: 3.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 59 and 113."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(59,113) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13004 at 18% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13004 × 18 × 8 / 100 = 18725.76.\n</reasoning>\nFinal Answer: 18725.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 90 mod -50"
},
{
"role": "assistant",
"content": "<reasoning>\n90 mod -50: 90 = -50 × -2 + -10, so remainder = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "8 is what percentage of 70?"
},
{
"role": "assistant",
"content": "<reasoning>\n(8/70) × 100 = 11.4286%.\n</reasoning>\nFinal Answer: 11.4286%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A bag has 6 red and 7 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 7/13 = 0.5385.\n</reasoning>\nFinal Answer: 0.5385"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 293 + -976"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 293 and -976: 293 + -976 = -683.\n</reasoning>\nFinal Answer: -683"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "743 is what percentage of 797?"
},
{
"role": "assistant",
"content": "<reasoning>\n(743/797) × 100 = 93.2246%.\n</reasoning>\nFinal Answer: 93.2246%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 + 19/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/19 + 19/20. Common denominator = 380. Result = 381/380.\n</reasoning>\nFinal Answer: 381/380"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/2 * 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/2) × (11/13) = (11/26) = 11/26 after simplification.\n</reasoning>\nFinal Answer: 11/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 15 = 519"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 21x = 504. Divide by 21: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 5, 8, 9, 12, 18] and B = [1, 9, 10, 12, 13, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 5, 8, 9, 10, 12, 13, 15, 18, 19].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 8/12 - 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/12 - 5/5. LCD = 3. Result = -1/3.\n</reasoning>\nFinal Answer: -1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 58 and 61."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(58,61) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 11] and B = [2, 3, 4, 6, 7, 9, 15, 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, 6, 9, 11, 15, 19].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:47 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/47, so B = A × (47/46) = 35 × 47/46 = 35.7609.\n</reasoning>\nFinal Answer: 35.7609"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 28 = -63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 7x = -91. Divide by 7: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/4 * 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/4) × (17/4) = (34/16) = 17/8 after simplification.\n</reasoning>\nFinal Answer: 17/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 12% of 693?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 693 = (12/100) × 693 = 83.16.\n</reasoning>\nFinal Answer: 83.16"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -25 - 379"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 379 from -25: -25 - 379 = -404.\n</reasoning>\nFinal Answer: -404"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -603 ÷ -57"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -603 by -57. -603 ÷ -57 = 10 (integer division).\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -30 = 866"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 28x = 896. Divide by 28: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A bag has 3 red and 9 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 9/12 = 0.75.\n</reasoning>\nFinal Answer: 0.75"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:6 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/6, so B = A × (6/13) = 22 × 6/13 = 10.1538.\n</reasoning>\nFinal Answer: 10.1538"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30183 at 7% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30183 × 7 × 3 / 100 = 6338.43.\n</reasoning>\nFinal Answer: 6338.43"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 820 × 62"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 820 by 62: 820 × 62 = 50840.\n</reasoning>\nFinal Answer: 50840"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -50 = -8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 21x = 42. Divide by 21: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 32 = 122"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 9x = 90. Divide by 9: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 183 + 834"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 183 and 834: 183 + 834 = 1017.\n</reasoning>\nFinal Answer: 1017"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -354 mod -876"
},
{
"role": "assistant",
"content": "<reasoning>\n-354 mod -876: -354 = -876 × 0 + -354, so remainder = -354.\n</reasoning>\nFinal Answer: -354"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:20 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/20, so B = A × (20/14) = 81 × 20/14 = 115.7143.\n</reasoning>\nFinal Answer: 115.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [48, 88, 90, 34, 51, 42, 29, 81, 49, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [29, 34, 42, 48, 49, 51, 81, 88, 90, 90]. Middle value(s) → median = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:46 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/46, so B = A × (46/22) = 21 × 46/22 = 43.9091.\n</reasoning>\nFinal Answer: 43.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 209."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 209 by smallest primes repeatedly: 209 = 11 × 19.\n</reasoning>\nFinal Answer: 11 × 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -427 × -576"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -427 by -576: -427 × -576 = 245952.\n</reasoning>\nFinal Answer: 245952"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/3 / 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/3) ÷ (18/4) = (6/3) × (4/18) = 4/9.\n</reasoning>\nFinal Answer: 4/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [15, 47, 50, 16, 3, 66, 6, 61, 96, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 3 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 125 × -507"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 125 by -507: 125 × -507 = -63375.\n</reasoning>\nFinal Answer: -63375"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 35 + 14 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×35=280 and 14×18=252, then add: 532.\n</reasoning>\nFinal Answer: 532"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 75 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 75 × 30 = 2250.\n</reasoning>\nFinal Answer: 2250"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37442 at 3% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37442 × 3 × 5 / 100 = 5616.3.\n</reasoning>\nFinal Answer: 5616.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 36, 55, 57, 16, 43, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 295/7 = 42.1429.\n</reasoning>\nFinal Answer: 42.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -339 × 127"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -339 by 127: -339 × 127 = -43053.\n</reasoning>\nFinal Answer: -43053"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 11) * (32 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+11)=21, (32-32)=0, then 21×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31544 at 11% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31544 × 11 × 2 / 100 = 6939.68.\n</reasoning>\nFinal Answer: 6939.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
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