messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 100 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 100 × 56 = 5600.\n</reasoning>\nFinal Answer: 5600"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -46 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 16x = 144. Divide by 16: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 463 × -629"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 463 by -629: 463 × -629 = -291227.\n</reasoning>\nFinal Answer: -291227"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -14 = 883"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 23x = 897. Divide by 23: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 151 and 141."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(151,141) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 775 + -376"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 775 and -376: 775 + -376 = 399.\n</reasoning>\nFinal Answer: 399"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 8] and B = [3, 6, 10, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3].\n</reasoning>\nFinal Answer: [3]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 365."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 365 by smallest primes repeatedly: 365 = 5 × 73.\n</reasoning>\nFinal Answer: 5 × 73"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -14 = -142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 16x = -128. Divide by 16: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [46, 48, 50, 52, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 46 and common difference 2. Next term = 54 + 2 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 10% of 444?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 444 = (10/100) × 444 = 44.4.\n</reasoning>\nFinal Answer: 44.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 905 mod -536"
},
{
"role": "assistant",
"content": "<reasoning>\n905 mod -536: 905 = -536 × -2 + -167, so remainder = -167.\n</reasoning>\nFinal Answer: -167"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 45% of 946?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 946 = (45/100) × 946 = 425.7.\n</reasoning>\nFinal Answer: 425.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -64 + 261"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -64 and 261: -64 + 261 = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 / 12/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/6) ÷ (12/9) = (5/6) × (9/12) = 5/8.\n</reasoning>\nFinal Answer: 5/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 67 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 67 × 87 = 5829.\n</reasoning>\nFinal Answer: 5829"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 215 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 215 × (1 - 40/100) = 215 × 0.6 = 129.0.\n</reasoning>\nFinal Answer: 129.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 43 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+43) × 8 = 260.0.\n</reasoning>\nFinal Answer: 260.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 20, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (22-1)×20 = 14 + 420 = 434.\n</reasoning>\nFinal Answer: 434"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 31 = 213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 26x = 182. Divide by 26: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 22 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 22 × 70 = 1540.\n</reasoning>\nFinal Answer: 1540"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 36 = 68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 8x = 32. Divide by 8: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 287 km apart. Their speeds are 119 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 119+102=221 km/h. Time = 287/221 = 1.2986 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 575 × 586"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 575 by 586: 575 × 586 = 336950.\n</reasoning>\nFinal Answer: 336950"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -30 - -988"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -988 from -30: -30 - -988 = 958.\n</reasoning>\nFinal Answer: 958"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [76, 63, 35, 84, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [35, 41, 63, 76, 84]. Middle value(s) → median = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 190 × -772"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 190 by -772: 190 × -772 = -146680.\n</reasoning>\nFinal Answer: -146680"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:19 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/19, so B = A × (19/50) = 69 × 19/50 = 26.22.\n</reasoning>\nFinal Answer: 26.22"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -33 = -11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 2x = 22. Divide by 2: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 * 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/10) × (10/17) = (150/170) = 15/17 after simplification.\n</reasoning>\nFinal Answer: 15/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 70, 3, 53, 95, 30, 72, 16, 98, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 609/10 = 60.9.\n</reasoning>\nFinal Answer: 60.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [91, 34, 36, 40, 49, 75, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [27, 34, 36, 40, 49, 75, 91]. Middle value(s) → median = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 20, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (23-1)×20 = 2 + 440 = 442.\n</reasoning>\nFinal Answer: 442"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 17/17 / 16/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/17) ÷ (16/19) = (17/17) × (19/16) = 19/16.\n</reasoning>\nFinal Answer: 19/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 7, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (39-1)×7 = 43 + 266 = 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Is 92 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n92 = 2 × 46, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 88 and width 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 88 × 22 = 1936.\n</reasoning>\nFinal Answer: 1936"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -32 = -122"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 15x = -90. Divide by 15: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 811 km apart. Their speeds are 102 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 102+101=203 km/h. Time = 811/203 = 3.9951 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 27 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 27 × 94 = 2538.\n</reasoning>\nFinal Answer: 2538"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (60)x + (180) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 60² - 4×5×180 = 0. √discriminant = 0. x = (-(60) ± 0) / (2×5). Solutions: x = -6 (double root).\n</reasoning>\nFinal Answer: x = -6 (double roo... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -42 = -1054"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 22x = -1012. Divide by 22: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 28 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 10+784-40=754.\n</reasoning>\nFinal Answer: 754"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 14, 16, 18] and B = [7, 9, 11, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 7, 9, 11, 14, 16, 17, 18].\n</reasoning>\nFinal Answer: [4, 5, 7, 9, 11, 14, 16, 17, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 90 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 90 × 75 = 6750.\n</reasoning>\nFinal Answer: 6750"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×3)/1 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 25, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 25 + 37 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 45 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 37+2025-26=2036.\n</reasoning>\nFinal Answer: 2036"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [2, 16, 30, 44, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 2 and common difference 14. Next term = 58 + 14 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 25 and 132."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(25,132) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -48 = 222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 6x = 270. Divide by 6: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -996 - -882"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -882 from -996: -996 - -882 = -114.\n</reasoning>\nFinal Answer: -114"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 2 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 1x = -38. Divide by 1: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 * 3/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/6) × (3/2) = (33/12) = 11/4 after simplification.\n</reasoning>\nFinal Answer: 11/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -5 = 261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 7x = 266. Divide by 7: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:46 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/46, so B = A × (46/19) = 77 × 46/19 = 186.4211.\n</reasoning>\nFinal Answer: 186.4211"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Is 131 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n131 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: -274 - -61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -61 from -274: -274 - -61 = -213.\n</reasoning>\nFinal Answer: -213"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 27 = -903"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 30x = -930. Divide by 30: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 15% of 724?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 724 = (15/100) × 724 = 108.6.\n</reasoning>\nFinal Answer: 108.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 8 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 8 × 6 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:32 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/32, so B = A × (32/7) = 91 × 32/7 = 416.0.\n</reasoning>\nFinal Answer: 416.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49818 at 6% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49818 × 6 × 3 / 100 = 8967.24.\n</reasoning>\nFinal Answer: 8967.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 37) * (2 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+37)=56, (2-18)=-16, then 56×-16=-896.\n</reasoning>\nFinal Answer: -896"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47442 at 1% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47442 × 1 × 1 / 100 = 474.42.\n</reasoning>\nFinal Answer: 474.42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 32, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 32 + 39 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 48 * 33 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×33=1584, then 40+1584-27=1597.\n</reasoning>\nFinal Answer: 1597"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 497 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 497 × (1 + 20/100) = 497 × 1.2 = 596.4.\n</reasoning>\nFinal Answer: 596.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -479 ÷ -803"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -479 by -803. -479 ÷ -803 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 40) * (7 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+40)=45, (7-26)=-19, then 45×-19=-855.\n</reasoning>\nFinal Answer: -855"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 6, 22, 76, 68, 18, 79, 36, 6, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 368/10 = 36.8.\n</reasoning>\nFinal Answer: 36.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 10, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (19-1)×10 = 35 + 180 = 215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 3% of 50?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 50 = (3/100) × 50 = 1.5.\n</reasoning>\nFinal Answer: 1.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 839 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 839 × (1 + 3/100) = 839 × 1.03 = 864.17.\n</reasoning>\nFinal Answer: 864.17"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -600 mod 362"
},
{
"role": "assistant",
"content": "<reasoning>\n-600 mod 362: -600 = 362 × -2 + 124, so remainder = 124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 / 16/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/20) ÷ (16/13) = (5/20) × (13/16) = 13/64.\n</reasoning>\nFinal Answer: 13/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 9 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 9 × 84 = 756.\n</reasoning>\nFinal Answer: 756"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 813 - 654"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 654 from 813: 813 - 654 = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 13 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 13 = 221 worker-days. New time = 221 / 15 = 14.7333 days.\n</reasoning>\nFinal Answer: 14.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -44 = 404"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 16x = 448. Divide by 16: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 35, 67, 76, 76, 82, 39, 100, 14, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 14 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:29 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/29, so B = A × (29/49) = 66 × 29/49 = 39.0612.\n</reasoning>\nFinal Answer: 39.0612"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 934 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 934 × (1 + 12/100) = 934 × 1.12 = 1046.08.\n</reasoning>\nFinal Answer: 1046.08"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 47 apples and buys 107 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 47 + 107 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -47 = 3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 5x = 50. Divide by 5: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 17 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(17+68) = 2×85 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:3 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/3, so B = A × (3/21) = 70 × 3/21 = 10.0.\n</reasoning>\nFinal Answer: 10.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2080 at 11% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2080 × 11 × 5 / 100 = 1144.0.\n</reasoning>\nFinal Answer: 1144.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [13, 42, 50, 31, 13, 11, 75, 1, 14, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 280/10 = 28.0.\n</reasoning>\nFinal Answer: 28.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 12) * (43 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+12)=13, (43-12)=31, then 13×31=403.\n</reasoning>\nFinal Answer: 403"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 / 10/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/10) ÷ (10/8) = (20/10) × (8/10) = 8/5.\n</reasoning>\nFinal Answer: 8/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 184 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 184 × (1 - 30/100) = 184 × 0.7 = 128.8.\n</reasoning>\nFinal Answer: 128.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 58 and 153."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(58,153) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 15/3 * 16/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/3) × (16/19) = (240/57) = 80/19 after simplification.\n</reasoning>\nFinal Answer: 80/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (8)x + (-20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×1×-20 = 144. √discriminant = 12. x = (-(8) ± 12) / (2×1). Solutions: x = -10 or x = 2.\n</reasoning>\nFinal Answer: x = -10 or x = 2"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 12/1 / 9/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/1) ÷ (9/18) = (12/1) × (18/9) = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 11 = 115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 26x = 104. Divide by 26: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3278. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3278 × 5/100 = 163.9. Total = 3278 + 163.9 = 3441.9.\n</reasoning>\nFinal Answer: 3441.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 46 = -154"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 5x = -200. Divide by 5: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -39 ÷ 680"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -39 by 680. -39 ÷ 680 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
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