messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -664 × -81"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -664 by -81: -664 × -81 = 53784.\n</reasoning>\nFinal Answer: 53784"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:32 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/32, so B = A × (32/25) = 15 × 32/25 = 19.2.\n</reasoning>\nFinal Answer: 19.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 6/12 / 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/12) ÷ (16/5) = (6/12) × (5/16) = 5/32.\n</reasoning>\nFinal Answer: 5/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:28 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/28, so B = A × (28/27) = 46 × 28/27 = 47.7037.\n</reasoning>\nFinal Answer: 47.7037"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-45)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -45² - 4×5×0 = 2025. √discriminant = 45. x = (-(-45) ± 45) / (2×5). Solutions: x = 9 or x = 0.\n</reasoning>\nFinal Answer: x = 9 or x = 0"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 412 × -591"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 412 by -591: 412 × -591 = -243492.\n</reasoning>\nFinal Answer: -243492"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -6 = -188"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 26x = -182. Divide by 26: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 484 km apart. Their speeds are 53 km/h and 67 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+67=120 km/h. Time = 484/120 = 4.0333 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/13 / 2/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/13) ÷ (2/11) = (2/13) × (11/2) = 11/13.\n</reasoning>\nFinal Answer: 11/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 674 × -35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 674 by -35: 674 × -35 = -23590.\n</reasoning>\nFinal Answer: -23590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [8, 43, 6, 2, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {8: 1, 43: 1, 6: 1, 2: 1, 10: 1}. Most frequent: [8, 43, 6, 2, 10].\n</reasoning>\nFinal Answer: [8, 43, 6, 2, 10]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 20 = 400"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 20x = 380. Divide by 20: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 10 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 10 = 100 worker-days. New time = 100 / 5 = 20.0 days.\n</reasoning>\nFinal Answer: 20.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -768 ÷ 737"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -768 by 737. -768 ÷ 737 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "List all positive factors of 80."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 80: factors are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80].\n</reasoning>\nFinal Answer: [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:19 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/19, so B = A × (19/46) = 81 × 19/46 = 33.4565.\n</reasoning>\nFinal Answer: 33.4565"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 13, 16, 18, 19] and B = [6, 9, 11, 13, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 6, 8, 9, 11, 17, 18, 19].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:50 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/50, so B = A × (50/2) = 63 × 50/2 = 1575.0.\n</reasoning>\nFinal Answer: 1575.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 59 and 61."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(59,61) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 19, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (42-1)×19 = 16 + 779 = 795.\n</reasoning>\nFinal Answer: 795"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 45 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 45 × 15 = 675.\n</reasoning>\nFinal Answer: 675"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -981 mod 870"
},
{
"role": "assistant",
"content": "<reasoning>\n-981 mod 870: -981 = 870 × -2 + 759, so remainder = 759.\n</reasoning>\nFinal Answer: 759"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 31 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 40+961-14=987.\n</reasoning>\nFinal Answer: 987"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 24 = -900"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 21x = -924. Divide by 21: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -26 = -98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 2x = -72. Divide by 2: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 616 - -225"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -225 from 616: 616 - -225 = 841.\n</reasoning>\nFinal Answer: 841"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 9 = 37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 2x = 28. Divide by 2: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [61, 64, 74, 95, 97, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 39 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 49 = 409"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 12x = 360. Divide by 12: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 23 = -55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 3x = -78. Divide by 3: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [29, 48, 67, 86, 105]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 29 and common difference 19. Next term = 105 + 19 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 61 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 61 × 95 = 5795.\n</reasoning>\nFinal Answer: 5795"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 - 15/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/8 - 15/1. LCD = 4. Result = -53/4.\n</reasoning>\nFinal Answer: -53/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/10 - 3/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/10 - 3/6. LCD = 10. Result = 1/5.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 89, 19, 90, 96, 85, 2, 16, 34, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 16, 19, 34, 40, 58, 85, 89, 90, 96]. Middle value(s) → median = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 163 apples and buys 61 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 163 + 61 = 224.\n</reasoning>\nFinal Answer: 224"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 551 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 551 × (1 - 45/100) = 551 × 0.55 = 303.05.\n</reasoning>\nFinal Answer: 303.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 14 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 14 = 28 worker-days. New time = 28 / 14 = 2.0 days.\n</reasoning>\nFinal Answer: 2.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 9, 10, 12] and B = [2, 7, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 5, 7, 9, 10, 12, 16, 17].\n</reasoning>\nFinal Answer: [2, 5, 7, 9, 10, 12, 16, 17]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -30 = -296"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 14x = -266. Divide by 14: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/2 / 8/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/2) ÷ (8/10) = (1/2) × (10/8) = 5/8.\n</reasoning>\nFinal Answer: 5/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 37 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 10+1369-9=1370.\n</reasoning>\nFinal Answer: 1370"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 73 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(73+11) = 2×84 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 - 12/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/17 - 12/16. LCD = 68. Result = -47/68.\n</reasoning>\nFinal Answer: -47/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 1, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (34-1)×1 = 38 + 33 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 131 + -436"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 131 and -436: 131 + -436 = -305.\n</reasoning>\nFinal Answer: -305"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 64 apples and buys 26 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 64 + 26 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 14, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (37-1)×14 = 26 + 504 = 530.\n</reasoning>\nFinal Answer: 530"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 28 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (28×36)/4 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 85 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 85 × 64 = 2720.0.\n</reasoning>\nFinal Answer: 2720.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/10 * 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/10) × (1/8) = (19/80) = 19/80 after simplification.\n</reasoning>\nFinal Answer: 19/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -46 = 266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 8x = 312. Divide by 8: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A bag has 9 red and 1 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 1/10 = 0.1.\n</reasoning>\nFinal Answer: 0.1"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:33 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/33, so B = A × (33/9) = 40 × 33/9 = 146.6667.\n</reasoning>\nFinal Answer: 146.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 716 × -435"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 716 by -435: 716 × -435 = -311460.\n</reasoning>\nFinal Answer: -311460"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 619 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 619 × (1 - 70/100) = 619 × 0.30000000000000004 = 185.7.\n</reasoning>\nFinal Answer: 185.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 5% of 685?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 685 = (5/100) × 685 = 34.25.\n</reasoning>\nFinal Answer: 34.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 25 = 253"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 19x = 228. Divide by 19: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -562 + -546"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -562 and -546: -562 + -546 = -1108.\n</reasoning>\nFinal Answer: -1108"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 10, 12, 16, 17, 18, 19] and B = [2, 4, 8, 11], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 7, 8, 9, 10, 11, 12, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [2, 4, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -860 mod 561"
},
{
"role": "assistant",
"content": "<reasoning>\n-860 mod 561: -860 = 561 × -2 + 262, so remainder = 262.\n</reasoning>\nFinal Answer: 262"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:46 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/46, so B = A × (46/40) = 80 × 46/40 = 92.0.\n</reasoning>\nFinal Answer: 92.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 30 = 880"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 25x = 850. Divide by 25: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/15 / 14/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/15) ÷ (14/15) = (4/15) × (15/14) = 2/7.\n</reasoning>\nFinal Answer: 2/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 398 - -438"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -438 from 398: 398 - -438 = 836.\n</reasoning>\nFinal Answer: 836"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 / 2/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/18) ÷ (2/8) = (20/18) × (8/2) = 40/9.\n</reasoning>\nFinal Answer: 40/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 34 = -51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 17x = -85. Divide by 17: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 372 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 372 × (1 + 40/100) = 372 × 1.4 = 520.8.\n</reasoning>\nFinal Answer: 520.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 169 and 107."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(169,107) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 36 + 36 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×36=900 and 36×19=684, then add: 1584.\n</reasoning>\nFinal Answer: 1584"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 46, 43, 70, 96, 64, 23, 50, 82, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 23 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 16 + 43 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×16=400 and 43×25=1075, then add: 1475.\n</reasoning>\nFinal Answer: 1475"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 327 km apart. Their speeds are 57 km/h and 106 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 57+106=163 km/h. Time = 327/163 = 2.0061 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 51, 86, 60, 98, 61, 56, 30, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 26 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -34 = 568"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 14x = 602. Divide by 14: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 30 + 31 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×30=510 and 31×7=217, then add: 727.\n</reasoning>\nFinal Answer: 727"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 66 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 66 × 87 = 2871.0.\n</reasoning>\nFinal Answer: 2871.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 281 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 281 × (1 - 17/100) = 281 × 0.83 = 233.23.\n</reasoning>\nFinal Answer: 233.23"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 / 4/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/8) ÷ (4/8) = (4/8) × (8/4) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 39 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 28+1521-6=1543.\n</reasoning>\nFinal Answer: 1543"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -154 × 545"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -154 by 545: -154 × 545 = -83930.\n</reasoning>\nFinal Answer: -83930"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 7 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(7+40) = 2×47 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 49 = 318.5.\n</reasoning>\nFinal Answer: 318.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 18 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 18 = 342 worker-days. New time = 342 / 11 = 31.0909 days.\n</reasoning>\nFinal Answer: 31.0909"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 11 and width 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 11 × 21 = 231.\n</reasoning>\nFinal Answer: 231"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 108 apples and buys 72 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 108 + 72 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -6 = 30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 2x = 36. Divide by 2: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 8 + 26 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×8=24 and 26×48=1248, then add: 1272.\n</reasoning>\nFinal Answer: 1272"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 372 + 984"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 372 and 984: 372 + 984 = 1356.\n</reasoning>\nFinal Answer: 1356"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 / 3/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/5) ÷ (3/1) = (18/5) × (1/3) = 6/5.\n</reasoning>\nFinal Answer: 6/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 - 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/1 - 16/5. LCD = 5. Result = 79/5.\n</reasoning>\nFinal Answer: 79/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 13 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 13 = 221 worker-days. New time = 221 / 19 = 11.6316 days.\n</reasoning>\nFinal Answer: 11.6316"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 85 apples and buys 182 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 85 + 182 = 267.\n</reasoning>\nFinal Answer: 267"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1997. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1997 × 18/100 = 359.46. Total = 1997 + 359.46 = 2356.46.\n</reasoning>\nFinal Answer: 2356.46"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 135 apples and buys 119 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 135 + 119 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -5 = 163"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 28x = 168. Divide by 28: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34227 at 9% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34227 × 9 × 2 / 100 = 6160.86.\n</reasoning>\nFinal Answer: 6160.86"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 18 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 4+324-46=282.\n</reasoning>\nFinal Answer: 282"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -559 mod 947"
},
{
"role": "assistant",
"content": "<reasoning>\n-559 mod 947: -559 = 947 × -1 + 388, so remainder = 388.\n</reasoning>\nFinal Answer: 388"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 3 apples and buys 6 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 3 + 6 = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"word_problem",
"applied_math"
] |
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