messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 20x + -19 = 221"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 20x = 240. Divide by 20: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -17 = -638"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 27x = -621. Divide by 27: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-12)x + (-16) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×4×-16 = 400. √discriminant = 20. x = (-(-12) ± 20) / (2×4). Solutions: x = 4 or x = -1.\n</reasoning>\nFinal Answer: x = 4 or x = -1"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 114 and 153."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(114,153) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 - 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/15 - 10/20. LCD = 30. Result = 17/30.\n</reasoning>\nFinal Answer: 17/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-5)x + (-36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -5² - 4×1×-36 = 169. √discriminant = 13. x = (-(-5) ± 13) / (2×1). Solutions: x = -4 or x = 9.\n</reasoning>\nFinal Answer: x = -4 or x = 9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 30% of 321?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 321 = (30/100) × 321 = 96.3.\n</reasoning>\nFinal Answer: 96.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 + 18/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/19 + 18/9. Common denominator = 19. Result = 42/19.\n</reasoning>\nFinal Answer: 42/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 34 = 563"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 23x = 529. Divide by 23: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (0)x + (-25) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×1×-25 = 100. √discriminant = 10. x = (-(0) ± 10) / (2×1). Solutions: x = -5 or x = 5.\n</reasoning>\nFinal Answer: x = -5 or x = 5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Ravi has 58 apples and buys 28 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 58 + 28 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/14 + 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/14 + 11/16. Common denominator = 112. Result = 237/112.\n</reasoning>\nFinal Answer: 237/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -30 = -70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 20x = -40. Divide by 20: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 31 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+31) × 14 = 441.0.\n</reasoning>\nFinal Answer: 441.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 38 * 39 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×39=1482, then 4+1482-39=1447.\n</reasoning>\nFinal Answer: 1447"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:9 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/9, so B = A × (9/43) = 90 × 9/43 = 18.8372.\n</reasoning>\nFinal Answer: 18.8372"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 7% of 127?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 127 = (7/100) × 127 = 8.89.\n</reasoning>\nFinal Answer: 8.89"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "250 is what percentage of 303?"
},
{
"role": "assistant",
"content": "<reasoning>\n(250/303) × 100 = 82.5083%.\n</reasoning>\nFinal Answer: 82.5083%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 18/11 - 20/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/11 - 20/12. LCD = 33. Result = -1/33.\n</reasoning>\nFinal Answer: -1/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:22 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/22, so B = A × (22/1) = 27 × 22/1 = 594.0.\n</reasoning>\nFinal Answer: 594.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 71 and 178."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(71,178) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 40 = -340"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 20x = -380. Divide by 20: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -119 × 104"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -119 by 104: -119 × 104 = -12376.\n</reasoning>\nFinal Answer: -12376"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [17, 30, 43, 56, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 17 and common difference 13. Next term = 69 + 13 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹1062. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1062 × 5/100 = 53.1. Total = 1062 + 53.1 = 1115.1.\n</reasoning>\nFinal Answer: 1115.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -3 = 147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 5x = 150. Divide by 5: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 78 + 53"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 78 and 53: 78 + 53 = 131.\n</reasoning>\nFinal Answer: 131"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 505 × 866"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 505 by 866: 505 × 866 = 437330.\n</reasoning>\nFinal Answer: 437330"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21181 at 11% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21181 × 11 × 9 / 100 = 20969.19.\n</reasoning>\nFinal Answer: 20969.19"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 + 3/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/14 + 3/8. Common denominator = 56. Result = 81/56.\n</reasoning>\nFinal Answer: 81/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 111 km/h. How far does it travel in 6 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 18/60 = 6.3000 hours. Distance = speed × time = 111 × 6.3000 = 699.3 km.\n</reasoning>\nFinal Answer: 699.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 222 - -261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -261 from 222: 222 - -261 = 483.\n</reasoning>\nFinal Answer: 483"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 27 * 43 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×43=1161, then 32+1161-43=1150.\n</reasoning>\nFinal Answer: 1150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Is 19 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n19 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Simplify: 1/16 / 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/16) ÷ (11/5) = (1/16) × (5/11) = 5/176.\n</reasoning>\nFinal Answer: 5/176"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 1 = -41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 2x = -42. Divide by 2: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [22, 23, 48, 9, 77, 1, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 1 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -439 × 882"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -439 by 882: -439 × 882 = -387198.\n</reasoning>\nFinal Answer: -387198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4815. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4815 × 12/100 = 577.8. Total = 4815 + 577.8 = 5392.8.\n</reasoning>\nFinal Answer: 5392.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:4 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/4, so B = A × (4/11) = 90 × 4/11 = 32.7273.\n</reasoning>\nFinal Answer: 32.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 195 km/h. How far does it travel in 1 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 28/60 = 1.4667 hours. Distance = speed × time = 195 × 1.4667 = 286.0 km.\n</reasoning>\nFinal Answer: 286.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 47) * (30 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+47)=50, (30-10)=20, then 50×20=1000.\n</reasoning>\nFinal Answer: 1000"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 9, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (15-1)×9 = 45 + 126 = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -28 = -757"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 27x = -729. Divide by 27: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 2 = -42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 22x = -44. Divide by 22: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 9, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (24-1)×9 = 18 + 207 = 225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 7% of 517?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 517 = (7/100) × 517 = 36.19.\n</reasoning>\nFinal Answer: 36.19"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -556 mod 222"
},
{
"role": "assistant",
"content": "<reasoning>\n-556 mod 222: -556 = 222 × -3 + 110, so remainder = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 266 - -231"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -231 from 266: 266 - -231 = 497.\n</reasoning>\nFinal Answer: 497"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 46 = -4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 5x = -50. Divide by 5: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 188 mod 961"
},
{
"role": "assistant",
"content": "<reasoning>\n188 mod 961: 188 = 961 × 0 + 188, so remainder = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "388 is what percentage of 590?"
},
{
"role": "assistant",
"content": "<reasoning>\n(388/590) × 100 = 65.7627%.\n</reasoning>\nFinal Answer: 65.7627%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 24 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 24 = 168 worker-days. New time = 168 / 11 = 15.2727 days.\n</reasoning>\nFinal Answer: 15.2727"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4981. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4981 × 5/100 = 249.05. Total = 4981 + 249.05 = 5230.05.\n</reasoning>\nFinal Answer: 5230.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/6 - 15/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/6 - 15/3. LCD = 2. Result = -5/2.\n</reasoning>\nFinal Answer: -5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 / 14/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/20) ÷ (14/14) = (17/20) × (14/14) = 17/20.\n</reasoning>\nFinal Answer: 17/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 22 = 532"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 30x = 510. Divide by 30: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1175. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1175 × 18/100 = 211.5. Total = 1175 + 211.5 = 1386.5.\n</reasoning>\nFinal Answer: 1386.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 20, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (49-1)×20 = 44 + 960 = 1004.\n</reasoning>\nFinal Answer: 1004"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 954 + 742"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 954 and 742: 954 + 742 = 1696.\n</reasoning>\nFinal Answer: 1696"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:33 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/33, so B = A × (33/1) = 97 × 33/1 = 3201.0.\n</reasoning>\nFinal Answer: 3201.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 111 ÷ 908"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 111 by 908. 111 ÷ 908 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -498 mod -20"
},
{
"role": "assistant",
"content": "<reasoning>\n-498 mod -20: -498 = -20 × 24 + -18, so remainder = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 247 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 247 × (1 - 15/100) = 247 × 0.85 = 209.95.\n</reasoning>\nFinal Answer: 209.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 25 = -887"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 19x = -912. Divide by 19: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 - 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/7 - 8/5. LCD = 5. Result = 2/5.\n</reasoning>\nFinal Answer: 2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 11, 14, 19] and B = [3, 7, 10, 11, 14, 16, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 9].\n</reasoning>\nFinal Answer: [5, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -503 - -4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from -503: -503 - -4 = -499.\n</reasoning>\nFinal Answer: -499"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 434 km apart. Their speeds are 76 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+41=117 km/h. Time = 434/117 = 3.7094 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/2 * 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/2) × (6/18) = (72/36) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 10, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (48-1)×10 = 13 + 470 = 483.\n</reasoning>\nFinal Answer: 483"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -49 = -241"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 16x = -192. Divide by 16: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -503 - 969"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 969 from -503: -503 - 969 = -1472.\n</reasoning>\nFinal Answer: -1472"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A bag has 1 red and 9 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 9/10 = 0.9.\n</reasoning>\nFinal Answer: 0.9"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 883 × 661"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 883 by 661: 883 × 661 = 583663.\n</reasoning>\nFinal Answer: 583663"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "47 is what percentage of 396?"
},
{
"role": "assistant",
"content": "<reasoning>\n(47/396) × 100 = 11.8687%.\n</reasoning>\nFinal Answer: 11.8687%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -168 - -734"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -734 from -168: -168 - -734 = 566.\n</reasoning>\nFinal Answer: 566"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 149 km/h. How far does it travel in 2 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 38/60 = 2.6333 hours. Distance = speed × time = 149 × 2.6333 = 392.3667 km.\n</reasoning>\nFinal Answer: 392.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:15 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/15, so B = A × (15/41) = 87 × 15/41 = 31.8293.\n</reasoning>\nFinal Answer: 31.8293"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 11 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 11 × 52 = 572.\n</reasoning>\nFinal Answer: 572"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 161 apples and buys 163 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 161 + 163 = 324.\n</reasoning>\nFinal Answer: 324"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:32 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/32, so B = A × (32/49) = 19 × 32/49 = 12.4082.\n</reasoning>\nFinal Answer: 12.4082"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 35 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 8+1225-36=1197.\n</reasoning>\nFinal Answer: 1197"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -3 = -318"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 15x = -315. Divide by 15: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3828. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3828 × 28/100 = 1071.84. Total = 3828 + 1071.84 = 4899.84.\n</reasoning>\nFinal Answer: 4899.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 12 = 495"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 21x = 483. Divide by 21: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 33 * 10 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×10=330, then 30+330-33=327.\n</reasoning>\nFinal Answer: 327"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 47 + 1 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×47=1551 and 1×5=5, then add: 1556.\n</reasoning>\nFinal Answer: 1556"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 49 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+49) × 11 = 313.5.\n</reasoning>\nFinal Answer: 313.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 512 - -287"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -287 from 512: 512 - -287 = 799.\n</reasoning>\nFinal Answer: 799"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 25 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 25 = 275 worker-days. New time = 275 / 9 = 30.5556 days.\n</reasoning>\nFinal Answer: 30.5556"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -344 + 344"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -344 and 344: -344 + 344 = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 15, 49, 71, 55, 87, 92, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 520/8 = 65.0.\n</reasoning>\nFinal Answer: 65.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 71 apples and buys 174 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 71 + 174 = 245.\n</reasoning>\nFinal Answer: 245"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 776 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 776 × (1 + 80/100) = 776 × 1.8 = 1396.8.\n</reasoning>\nFinal Answer: 1396.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37354 at 17% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37354 × 17 × 3 / 100 = 19050.54.\n</reasoning>\nFinal Answer: 19050.54"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 35 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+35) × 6 = 252.0.\n</reasoning>\nFinal Answer: 252.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 - 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/11 - 10/10. LCD = 11. Result = -9/11.\n</reasoning>\nFinal Answer: -9/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 30 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 30 = 240 worker-days. New time = 240 / 15 = 16.0 days.\n</reasoning>\nFinal Answer: 16.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 23 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(23+85) = 2×108 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"geometry",
"perimeter"
] |
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