| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean n, bi\u1ebft r\u1eb1ng n^2 + 3 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng. T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a n."}, {"role": "assistant", "content": "\u0110\u1ec3 n^2 + 3 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng, ta c\u1ea7n ph\u1ea3i t\u00ecm s\u1ed1 nguy\u00ean k sao cho k^2 = n^2 + 3. T\u1eeb \u0111\u00f3, ta c\u00f3 n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng v\u00e0 n = \u221a(k^2 - 3), v\u1edbi n l\u00e0 s\u1ed1 nguy\u00ean. H\u00e3y t\u00ecm gi\u00e1 tr\u1ecb c\u1ee7a n."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho ph\u01b0\u01a1ng tr\u00ecnh sau: 2x + 5 = 11, x b\u1eb1ng bao nhi\u00eau?"}, {"role": "assistant", "content": "\u0110\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y, ta tr\u1eeb 5 t\u1eeb c\u1ea3 hai ph\u00eda c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ec3 t\u00e1ch bi\u1ebfn x ra kh\u1ecfi h\u1eb1ng s\u1ed1. 2x = 6. Ti\u1ebfp theo, chia c\u1ea3 hai ph\u00eda cho 2 \u0111\u1ec3 gi\u1ea3i x. K\u1ebft qu\u1ea3 l\u00e0 x = 3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai: 2x^2 + 5x - 3 = 0, h\u00e3y gi\u00fap em t\u00ecm nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ecm nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai n\u00e0y, ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c: x = (-b \u00b1 \u221a(b^2 - 4ac)) / 2a. Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y, a = 2, b = 5 v\u00e0 c = -3. Ti\u1ebfn h\u00e0nh t\u00ednh to\u00e1n, ta c\u00f3 th\u1ec3 t\u00ecm \u0111\u01b0\u1ee3c gi\u00e1 tr\u1ecb c\u1ee7a x. N\u1ebfu c\u1ea7n, em c\u00f3 th\u1ec3 cho th\u00eam th\u00f4ng tin \u0111\u1ec3 gi\u1ea3i chi ti\u1ebft h\u01a1n."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Em c\u00f3 th\u1ec3 gi\u00fap em v\u1edbi ph\u01b0\u01a1ng tr\u00ecnh sin(x) = 0 kh\u00f4ng \u1ea1?"}, {"role": "assistant", "content": "D\u0129 nhi\u00ean, \u0111\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh sin(x) = 0, ch\u00fang ta c\u1ea7n t\u00ecm c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a x sao cho sin(x) b\u1eb1ng 0. Trong \u0111o\u1ea1n t\u1eeb 0 \u0111\u1ebfn 2\u03c0, gi\u00e1 tr\u1ecb c\u1ee7a x l\u00e0 0 v\u00e0 \u03c0. V\u1eady n\u00ean c\u00e1c nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh \u0111\u00f3 l\u00e0 x = 0 v\u00e0 x = \u03c0."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh sau: 3x + 8 = 20"}, {"role": "assistant", "content": "\u0110\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh 3x + 8 = 20, ta tr\u1eeb 8 t\u1eeb c\u1ea3 hai b\u00ean c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh, ta \u0111\u01b0\u1ee3c: 3x = 12. Ti\u1ebfp theo, chia c\u1ea3 hai b\u00ean cho 3, ta c\u00f3 x = 4."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "B\u1ea1n c\u00f3 th\u1ec3 gi\u00fap t\u00f4i t\u00ecm c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt kh\u00f4ng?"}, {"role": "assistant", "content": "Ch\u1eafc ch\u1eafn! \u0110\u1ec3 t\u00ednh di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt, b\u1ea1n nh\u00e2n \u0111\u1ed9 d\u00e0i v\u00e0 chi\u1ec1u r\u1ed9ng c\u1ee7a n\u00f3 v\u1edbi nhau. V\u00ed d\u1ee5, n\u1ebfu \u0111\u1ed9 d\u00e0i l\u00e0 5cm v\u00e0 chi\u1ec1u r\u1ed9ng l\u00e0 3cm, di\u1ec7n t\u00edch s\u1ebd l\u00e0 5cm x 3cm = 15cm\u00b2."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho h\u00ecnh ch\u00f3p SABC.ABC l\u00e0 tam gi\u00e1c \u0111\u1ec1u v\u1edbi c\u1ea1nh b\u1eb1ng 3, SB = 5. T\u00ednh th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh ch\u00f3p."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh ch\u00f3p, ch\u00fang ta s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c: V = 1/3 * di\u1ec7n t\u00edch \u0111\u00e1y * chi\u1ec1u cao. Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y, di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c \u0111\u1ec1u ABC l\u00e0 A = (a^2 * sqrt(3))/4, v\u1edbi a l\u00e0 c\u1ea1nh c\u1ee7a tam gi\u00e1c. Chi\u1ec1u cao l\u00e0 SA. T\u00ednh \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch \u0111\u00e1y v\u00e0 chi\u1ec1u cao, t\u1eeb \u0111\u00f3 c\u00f3 th\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh ch\u00f3p."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho tam gi\u00e1c ABC vu\u00f4ng t\u1ea1i A, c\u1ea1nh AB = 5 cm, BC = 12 cm. T\u00ecm c\u1ea1nh AC."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ecm c\u1ea1nh AC, ta d\u00f9ng \u0111\u1ecbnh l\u00fd Pythagoras. Theo \u0111\u1ecbnh l\u00fd, ta c\u00f3: AC\u00b2 = AB\u00b2 + BC\u00b2 = 5\u00b2 + 12\u00b2 = 25 + 144 = 169. V\u1eady AC = \u221a169 = 13 cm."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Em kh\u00f4ng hi\u1ec3u c\u00e1ch gi\u1ea3i b\u00e0i to\u00e1n v\u1ec1 ph\u00e2n s\u1ed1, c\u00f3 th\u1ec3 gi\u00fap em kh\u00f4ng?"}, {"role": "assistant", "content": "Ch\u1eafc ch\u1eafn, em h\u00e3y xem v\u00ed d\u1ee5 n\u00e0y: B\u00e0i to\u00e1n: T\u00ecm gi\u00e1 tr\u1ecb c\u1ee7a ph\u00e2n s\u1ed1 2/5 trong m\u1ed9t s\u1ed1 45? Gi\u1ea3i th\u00edch: \u0110\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a ph\u00e2n s\u1ed1, ta th\u1ef1c hi\u1ec7n ph\u00e9p nh\u00e2n ph\u00e2n s\u1ed1 v\u1edbi s\u1ed1 cho tr\u01b0\u1edbc. V\u00ec v\u1eady, 2/5 * 45 = 2 * 9 = 18. V\u1eady, gi\u00e1 tr\u1ecb c\u1ee7a ph\u00e2n s\u1ed1 2/5 trong s\u1ed1 45 l\u00e0 18."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "T\u00ednh t\u00edch ph\u00e2n nh\u01b0 th\u1ebf n\u00e0o trong l\u00fd thuy\u1ebft \u0111\u1ed9ng h\u1ecdc?"}, {"role": "assistant", "content": "Khi t\u00ednh t\u00edch ph\u00e2n trong l\u00fd thuy\u1ebft \u0111\u1ed9ng h\u1ecdc, ch\u00fang ta th\u01b0\u1eddng s\u1eed d\u1ee5ng n\u00f3 \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh v\u1eadn t\u1ed1c, gia t\u1ed1c v\u00e0 v\u1ecb tr\u00ed c\u1ee7a c\u00e1c h\u1ec7 th\u1ed1ng \u0111\u1ed9ng. V\u00ed d\u1ee5, n\u1ebfu ch\u00fang ta c\u00f3 h\u00e0m v\u1eadn t\u1ed1c c\u1ee7a m\u1ed9t \u0111\u1ed1i t\u01b0\u1ee3ng theo th\u1eddi gian, ch\u00fang ta c\u00f3 th\u1ec3 t\u00edch ph\u00e2n h\u00e0m n\u00e0y \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh qu\u00e3ng \u0111\u01b0\u1eddng \u0111\u00e3 \u0111i chuy\u1ec3n. B\u1ea1n c\u00f3 th\u1ec3 cung c\u1ea5p c\u00f4ng th\u1ee9c c\u1ee5 th\u1ec3 m\u00e0 b\u1ea1n mu\u1ed1n t\u00ednh t\u00edch ph\u00e2n \u0111\u1ec3 ch\u00fang ta c\u00f3 th\u1ec3 gi\u1ea3i quy\u1ebft c\u1ee5 th\u1ec3 nh\u00e9."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "\u1ede m\u1ed9t bu\u1ed5i ti\u1ec7c, c\u00f3 10 ng\u01b0\u1eddi tham d\u1ef1. M\u1ed7i ng\u01b0\u1eddi b\u1eaft tay v\u1edbi m\u1ecdi ng\u01b0\u1eddi c\u00f2n l\u1ea1i m\u1ed9t l\u1ea7n duy nh\u1ea5t. H\u1ecfi c\u00f3 bao nhi\u00eau l\u1ea7n b\u1eaft tay \u0111\u00e3 di\u1ec5n ra?"}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh s\u1ed1 l\u1ea7n b\u1eaft tay \u0111\u00e3 di\u1ec5n ra, ta s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c t\u1ed5 h\u1ee3p. C\u00f3 t\u1ed5ng c\u1ed9ng 10 ng\u01b0\u1eddi, ch\u00fang ta ch\u1ecdn 2 ng\u01b0\u1eddi \u0111\u1ec3 b\u1eaft tay v\u1edbi nhau. V\u1eady s\u1ed1 l\u1ea7n b\u1eaft tay s\u1ebd l\u00e0 C(10, 2) = 45 l\u1ea7n."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "B\u1ea1n c\u00f3 th\u1ec3 cho t\u00f4i m\u1ed9t v\u00ed d\u1ee5 v\u1ec1 b\u00e0i to\u00e1n logic kh\u00f4ng?"}, {"role": "assistant", "content": "V\u00ed d\u1ee5 b\u1ea1n c\u00f3 3 l\u00e1 ch\u1eafn v\u00e0 2 c\u00e1nh l\u00e1i trong m\u1ed9t ph\u00f2ng. B\u1ea1n ph\u1ea3i ch\u1ecdn c\u00e1nh l\u00e1i bellar v\u1edbi \u0111\u01b0\u1ee3c l\u00e1 ch\u1eafn l\u1edbn h\u01a1n. L\u00e0m sao?"}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Gi\u1ea3 s\u1eed c\u00f3 tam gi\u00e1c ABC v\u1edbi A(2,3), B(5,1) v\u00e0 C(1,4). T\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh AB c\u1ee7a tam gi\u00e1c \u0111\u00f3."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh AB c\u1ee7a tam gi\u00e1c ABC, ta s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111i\u1ec3m trong kh\u00f4ng gian t\u1ecda \u0111\u1ed9. C\u1ea1nh AB c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u0103n b\u1eadc hai c\u1ee7a t\u1ed5ng b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a hi\u1ec7u c\u00e1c ho\u00e0nh \u0111\u1ed9 v\u00e0 tung \u0111\u1ed9 c\u1ee7a hai \u0111i\u1ec3m A v\u00e0 B. V\u1eady \u0111\u1ed9 d\u00e0i c\u1ea1nh AB l\u00e0 c\u0103n b\u1eadc hai c\u1ee7a ((5-2)^2 + (1-3)^2) = c\u0103n b\u1eadc hai c\u1ee7a 10 = 3.16 \u0111\u01a1n v\u1ecb."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y gi\u1ea3i cho em b\u00e0i to\u00e1n sau: T\u00ecm gi\u00e1 tr\u1ecb c\u1ee7a x khi x^2 + 5x + 6 = 0"}, {"role": "assistant", "content": "\u0110\u1ec3 gi\u1ea3i b\u00e0i to\u00e1n tr\u00ean, ch\u00fang ta c\u1ea7n ph\u00e2n t\u00edch th\u00e0nh t\u00edch 2 s\u1ed1 th\u1ecfa m\u00e3n c\u00f4ng th\u1ee9c tr\u00ean, t\u1ee9c l\u00e0 (x + 2)(x + 3) = 0. Do \u0111\u00f3, x = -2 ho\u1eb7c x = -3 l\u00e0 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho h\u00e0m s\u1ed1 f(x) = x^3 - 3x^2 + 2x + 1. H\u00e3y t\u00ecm c\u00e1c \u0111i\u1ec3m d\u1eebng c\u1ee7a h\u00e0m s\u1ed1 n\u00e0y."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ecm c\u00e1c \u0111i\u1ec3m d\u1eebng c\u1ee7a h\u00e0m s\u1ed1 f(x), ta c\u1ea7n t\u00ednh \u0111\u1ea1o h\u00e0m c\u1ee7a f(x) v\u00e0 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh f'(x) = 0. T\u1eeb \u0111\u00f3 ta c\u00f3 th\u1ec3 x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c critical points c\u1ee7a h\u00e0m s\u1ed1."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho m\u1ed9t tr\u00f2 ch\u01a1i c\u1edd b\u1ea1c trong \u0111\u00f3 ng\u01b0\u1eddi ch\u01a1i c\u00f3 x\u00e1c su\u1ea5t th\u1eafng l\u00e0 0.7. N\u1ebfu anh \u1ea5y c\u01b0\u1ee3c 100, anh \u1ea5y ki\u1ebfm \u0111\u01b0\u1ee3c bao nhi\u00eau ti\u1ec1n trong trung b\u00ecnh?"}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh l\u1ee3i nhu\u1eadn trung b\u00ecnh, ta nh\u00e2n s\u1ed1 ti\u1ec1n c\u01b0\u1ee3c v\u1edbi x\u00e1c su\u1ea5t th\u1eafng v\u00e0 tr\u1eeb ti\u1ec1n c\u01b0\u1ee3c kh\u1ecfi k\u1ebft qu\u1ea3. Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y, l\u1ee3i nhu\u1eadn trung b\u00ecnh s\u1ebd l\u00e0: 100 * 0.7 - 100 = 70 - 100 = -30. Do \u0111\u00f3, ng\u01b0\u1eddi ch\u01a1i trung b\u00ecnh s\u1ebd m\u1ea5t 30 ti\u1ec1n m\u1ed7i l\u1ea7n ch\u01a1i."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho s\u1ed1 a = 6 v\u00e0 s\u1ed1 b = 4, h\u00e3y t\u00ednh t\u1ed5ng c\u1ee7a a v\u00e0 b?"}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh t\u1ed5ng c\u1ee7a hai s\u1ed1 a v\u00e0 b, ch\u00fang ta c\u1ed9ng hai s\u1ed1 \u0111\u00f3 l\u1ea1i v\u1edbi nhau. V\u1edbi a = 6 v\u00e0 b = 4, t\u1ed5ng c\u1ee7a a v\u00e0 b l\u00e0 6 + 4 = 10."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y cho t\u00f4i m\u1ed9t v\u00ed d\u1ee5 v\u1ec1 \u1ee9ng d\u1ee5ng cu\u1ed9c s\u1ed1ng th\u1ef1c s\u1ef1 c\u1ee7a t\u00edch ph\u00e2n."}, {"role": "assistant", "content": "V\u00ed d\u1ee5 v\u1ec1 \u1ee9ng d\u1ee5ng cu\u1ed9c s\u1ed1ng th\u1ef1c s\u1ef1 c\u1ee7a t\u00edch ph\u00e2n l\u00e0 t\u00ednh di\u1ec7n t\u00edch m\u1eb7t ph\u1eb3ng c\u1ee7a m\u1ed9t h\u1ed3 b\u01a1i h\u00ecnh ch\u1eef nh\u1eadt. B\u1eb1ng c\u00e1ch t\u00ednh t\u00edch ph\u00e2n c\u1ee7a h\u00e0m di\u1ec7n t\u00edch, ch\u00fang ta c\u00f3 th\u1ec3 x\u00e1c \u0111\u1ecbnh s\u1ed1 l\u01b0\u1ee3ng g\u1ea1ch l\u00e1t c\u1ea7n thi\u1ebft \u0111\u1ec3 l\u00e1t s\u00e0n h\u1ed3 b\u01a1i."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 m\u1ed9t \u0111i\u1ec3m n\u1eb1m ngo\u00e0i \u0111\u01b0\u1eddng th\u1eb3ng, h\u00e3y gi\u00fap t\u00f4i v\u1ebd \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua \u0111i\u1ec3m \u0111\u00f3 v\u00e0 c\u00f3 g\u00f3c vu\u00f4ng v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng ban \u0111\u1ea7u."}, {"role": "assistant", "content": "\u0110\u1ec3 v\u1ebd \u0111\u01b0\u1ee3c \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua \u0111i\u1ec3m v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng ban \u0111\u1ea7u, ta c\u1ea7n x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c \u0111i qua \u0111i\u1ec3m \u0111\u00f3. Khi \u0111\u00f3, ta s\u1ebd c\u00f3 \u0111\u01b0\u1ee3c \u0111\u01b0\u1eddng th\u1eb3ng c\u1ea7n t\u00ecm."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "T\u00ecm c\u00e1c \u01b0\u1edbc c\u1ee7a s\u1ed1 12 v\u00e0 vi\u1ebft d\u1ea1ng th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 c\u1ee7a n\u00f3."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ecm c\u00e1c \u01b0\u1edbc c\u1ee7a s\u1ed1 12, ch\u00fang ta c\u00f3 th\u1ec3 chia s\u1ed1 12 cho c\u00e1c s\u1ed1 t\u1eeb 1 \u0111\u1ebfn 12 v\u00e0 l\u1ea5y k\u1ebft qu\u1ea3 chia h\u1ebft c\u1ee7a n\u00f3. C\u00e1c \u01b0\u1edbc c\u1ee7a s\u1ed1 12 l\u00e0 1, 2, 3, 4, 6, v\u00e0 12. \u0110\u1ec3 vi\u1ebft s\u1ed1 12 d\u01b0\u1edbi d\u1ea1ng th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1, ta c\u00f3 th\u1ec3 ph\u00e2n t\u00edch n\u00f3 th\u00e0nh 2^2 * 3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho tam gi\u00e1c ABC v\u1edbi AB = 10, BC = 15, v\u00e0 g\u00f3c ABC = 60 \u0111\u1ed9. T\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh AC b\u1eb1ng \u0111\u1ecbnh l\u00fd cosin."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh AC c\u1ee7a tam gi\u00e1c ABC, ta s\u1eed d\u1ee5ng \u0111\u1ecbnh l\u00fd cosin: AC^2 = AB^2 + BC^2 - 2*AB*BC*cos(60)"}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a sin(45 \u0111\u1ed9)."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a sin(45 \u0111\u1ed9), ta s\u1eed d\u1ee5ng gi\u00e1 tr\u1ecb chu\u1ea9n c\u1ee7a sin(45 \u0111\u1ed9) l\u00e0 \u221a2/2. V\u00ec v\u1eady, sin(45 \u0111\u1ed9) = \u221a2/2."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho h\u00e0m s\u1ed1 y = x^3 - 2x^2 + 4x - 1. H\u00e3y gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh f(x) = 0 b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p Newton."}, {"role": "assistant", "content": "\u0110\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh f(x) = 0 b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p Newton, ta c\u1ea7n t\u00ecm nghi\u1ec7m g\u1ea7n \u0111\u00fang ban \u0111\u1ea7u x_0, sau \u0111\u00f3 s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c l\u1eb7p x_{n+1} = x_n - f(x_n)/f'(x_n). V\u1edbi h\u00e0m s\u1ed1 cho, ta t\u00ednh \u0111\u01b0\u1ee3c f'(x) = 3x^2 - 4x + 4. Ch\u00fang ta s\u1ebd l\u1eb7p l\u1ea1i b\u01b0\u1edbc n\u00e0y cho \u0111\u1ebfn khi \u0111\u1ea1t \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 \u0111\u1ee7 ch\u00ednh x\u00e1c."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho em h\u1ecfi m\u1ed9t v\u00ed d\u1ee5 v\u1ec1 m\u00f4 h\u00ecnh to\u00e1n h\u1ecdc v\u00e0 gi\u1ea3 l\u1eadp \u0111\u01b0\u1ee3c kh\u00f4ng?"}, {"role": "assistant", "content": "V\u00ed d\u1ee5 v\u1ec1 m\u1ed9t m\u00f4 h\u00ecnh to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn l\u00e0 m\u00f4 h\u00ecnh s\u1ed1 h\u1ecdc trong \u0111i\u1ec1u khi\u1ec3n t\u1ef1 \u0111\u1ed9ng. Khi b\u1ea1n thi\u1ebft k\u1ebf m\u1ed9t b\u1ed9 \u0111i\u1ec1u khi\u1ec3n t\u1ef1 \u0111\u1ed9ng cho robot, b\u1ea1n c\u1ea7n t\u1ea1o ra m\u1ed9t m\u00f4 h\u00ecnh s\u1ed1 h\u1ecdc c\u1ee7a robot v\u00e0 m\u00f4i tr\u01b0\u1eddng \u0111\u1ec3 c\u00f3 th\u1ec3 gi\u1ea3 l\u1eadp v\u00e0 ki\u1ec3m tra h\u1ec7 th\u1ed1ng tr\u01b0\u1edbc khi tri\u1ec3n khai th\u1ef1c t\u1ebf."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "T\u00ednh t\u1ed5ng c\u1ee7a 3 v\u00e0 5 l\u00e0 bao nhi\u00eau?"}, {"role": "assistant", "content": "T\u1ed5ng c\u1ee7a 3 v\u00e0 5 l\u00e0 8."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho tam gi\u00e1c ABC v\u00e0 tam gi\u00e1c DEF. Bi\u1ebft AB = DE, BC = EF, v\u00e0 g\u00f3c BAC = g\u00f3c EDF. Ch\u1ee9ng minh r\u1eb1ng tam gi\u00e1c ABC \u0111\u1ed3ng d\u1ea1ng v\u1edbi tam gi\u00e1c DEF."}, {"role": "assistant", "content": "\u0110\u1ec3 ch\u1ee9ng minh tam gi\u00e1c ABC \u0111\u1ed3ng d\u1ea1ng v\u1edbi tam gi\u00e1c DEF khi \u0111\u00e3 bi\u1ebft AB = DE, BC = EF, v\u00e0 g\u00f3c BAC = g\u00f3c EDF, ta c\u1ea7n ch\u1ee9ng minh th\u00eam m\u1ed9t \u0111i\u1ec1u. B\u1ea1n c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng \u0110\u1ecbnh l\u00fd g\u00f3c nhon \u0111\u1ec3 ch\u1ee9ng minh \u0111i\u1ec1u \u0111\u00f3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh sau: 2x + 3y = 8 v\u00e0 x - 2y = -3. H\u00e3y gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y."}, {"role": "assistant", "content": "\u0110\u1ec3 gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y, ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ed3ng th\u1eddi thay \u0111\u1ed5i h\u1ec7 s\u1ed1 ho\u1eb7c ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng tr\u1eeb hai ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ec3 lo\u1ea1i b\u1ecf m\u1ed9t bi\u1ebfn. Sau khi gi\u1ea3i, ta c\u00f3 x = 2 v\u00e0 y = 1."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho m\u1ed9t b\u00e0i to\u00e1n c\u00f3 v\u1eadn t\u1ed1c ban \u0111\u1ea7u l\u00e0 20 m/s, gia t\u1ed1c l\u00e0 -2 m/s^2. H\u00e3y t\u00ednh kho\u1ea3ng c\u00e1ch \u0111i \u0111\u01b0\u1ee3c sau 5 gi\u00e2y."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh kho\u1ea3ng c\u00e1ch \u0111i \u0111\u01b0\u1ee3c, ta s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c: S = v0*t + (1/2)*a*t^2. Ta ch\u1ec9 c\u1ea7n thay s\u1ed1 v\u00e0o v\u00e0 t\u00ednh to\u00e1n: S = 20*5 + (1/2)*(-2)*(5^2). K\u1ebft qu\u1ea3: S = 100 - 25 = 75 (m). V\u1eady sau 5 gi\u00e2y, v\u1eadt s\u1ebd \u0111i \u0111\u01b0\u1ee3c 75 m\u00e9t."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho tam gi\u00e1c vu\u00f4ng $ABC$ v\u1edbi c\u1ea1nh huy\u1ec1n $AC$ b\u1eb1ng 1. T\u00ednh cosin c\u1ee7a g\u00f3c $C$."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh cosin c\u1ee7a g\u00f3c $C$, ta c\u1ea7n x\u00e1c \u0111\u1ecbnh c\u1ea1nh \u0111\u1ed1i v\u1edbi g\u00f3c $C$. Trong tam gi\u00e1c vu\u00f4ng, cosin c\u1ee7a g\u00f3c $C$ \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u1ea1nh k\u1ec1 (tr\u00ean huy\u1ec1n) chia cho c\u1ea1nh huy\u1ec1n. V\u1edbi huy\u1ec1n b\u1eb1ng 1, ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng \u0111\u01a1n gi\u1ea3n h\u00f3a h\u00ecnh \u1ea3nh \u0111\u01b0\u1eddng tr\u00f2n \u0111\u01a1n v\u1ecb (unit circle) \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh cosin c\u1ee7a g\u00f3c $C$. Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y, cosin c\u1ee7a g\u00f3c $C$ s\u1ebd b\u1eb1ng x-coordinate c\u1ee7a \u0111i\u1ec3m k\u1ebft th\u00fac c\u1ee7a c\u00e1c ph\u00e2n v\u00f9ng c\u1ee7a g\u00f3c $C$ tr\u00ean \u0111\u01a1n v\u1ecb tr\u00f2n. V\u1edbi g\u00f3c $C$ l\u00e0 g\u00f3c vu\u00f4ng, cosin s\u1ebd b\u1eb1ng 0."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "T\u00f4i kh\u00f4ng bi\u1ebft l\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 t\u1ea1o s\u1ed1 ng\u1eabu nhi\u00ean trong Python. B\u1ea1n c\u00f3 th\u1ec3 gi\u00fap t\u00f4i kh\u00f4ng?"}, {"role": "assistant", "content": "\u0110\u1ec3 t\u1ea1o s\u1ed1 ng\u1eabu nhi\u00ean trong Python, b\u1ea1n c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng th\u01b0 vi\u1ec7n random. V\u00ed d\u1ee5, \u0111\u1ec3 t\u1ea1o m\u1ed9t s\u1ed1 nguy\u00ean ng\u1eabu nhi\u00ean t\u1eeb 1 \u0111\u1ebfn 100, b\u1ea1n c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng random.randint(1, 100)."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u1ecdc sinh tham gia cu\u1ed9c thi to\u00e1n ph\u1ea3i l\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 chu\u1ea9n b\u1ecb hi\u1ec7u qu\u1ea3?"}, {"role": "assistant", "content": "\u0110\u1ec3 chu\u1ea9n b\u1ecb hi\u1ec7u qu\u1ea3 cho cu\u1ed9c thi to\u00e1n, h\u1ecdc sinh c\u1ea7n t\u1eadp trung v\u00e0o vi\u1ec7c gi\u1ea3i nhi\u1ec1u b\u00e0i t\u1eadp t\u1eeb c\u00e1c l\u0129nh v\u1ef1c kh\u00e1c nhau, nh\u01b0 h\u00ecnh h\u1ecdc, gi\u1ea3i t\u00edch, s\u1ed1 h\u1ecdc. H\u00e3y tham gia nh\u00f3m h\u1ecdc to\u00e1n, tham gia c\u00e1c cu\u1ed9c th\u00e1ch th\u1ee9c v\u00e0 tranh th\u1ee7 th\u1eddi gian \u00f4n t\u1eadp h\u00e0ng ng\u00e0y \u0111\u1ec3 n\u00e2ng cao k\u1ef9 n\u0103ng v\u00e0 ki\u1ebfn th\u1ee9c c\u1ee7a m\u00ecnh."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho tam gi\u00e1c vu\u00f4ng ABC, bi\u1ebft c\u1ea1nh AB = 3 v\u00e0 c\u1ea1nh BC = 4. H\u00e3y t\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh AC."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c \u0111\u1ed9 d\u00e0i c\u1ea1nh AC c\u1ee7a tam gi\u00e1c vu\u00f4ng, ta \u00e1p d\u1ee5ng \u0111\u1ecbnh l\u00ed Pytago nh\u01b0 sau: AC\u00b2 = AB\u00b2 + BC\u00b2 = 3\u00b2 + 4\u00b2 = 9 + 16 = 25. V\u1eady AC = \u221a25 = 5."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y t\u00ednh chu vi c\u1ee7a m\u1ed9t v\u00f2ng tr\u00f2n c\u00f3 b\u00e1n k\u00ednh b\u1eb1ng 5 \u0111\u01a1n v\u1ecb."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh chu vi c\u1ee7a m\u1ed9t v\u00f2ng tr\u00f2n, ta d\u00f9ng c\u00f4ng th\u1ee9c: Chu vi = 2 * b\u00e1n k\u00ednh * \u03c0. V\u1edbi b\u00e1n k\u00ednh l\u00e0 5 \u0111\u01a1n v\u1ecb, chu vi c\u1ee7a v\u00f2ng tr\u00f2n l\u00e0: 2 * 5 * \u03c0 = 10\u03c0 \u0111\u01a1n v\u1ecb."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y cho m\u1ed9t v\u00ed d\u1ee5 v\u1ec1 m\u00f4 h\u00ecnh to\u00e1n h\u1ecdc trong \u0111\u1eddi s\u1ed1ng h\u00e0ng ng\u00e0y."}, {"role": "assistant", "content": "V\u00ed d\u1ee5 v\u1ec1 m\u00f4 h\u00ecnh to\u00e1n h\u1ecdc trong \u0111\u1eddi s\u1ed1ng h\u00e0ng ng\u00e0y c\u00f3 th\u1ec3 l\u00e0 vi\u1ec7c t\u00ednh to\u00e1n l\u01b0\u1ee3ng n\u01b0\u1edbc c\u1ea7n cho m\u1ed9t khu v\u01b0\u1eddn d\u1ef1a tr\u00ean di\u1ec7n t\u00edch v\u00e0 t\u1ea7n su\u1ea5t t\u01b0\u1edbi n\u01b0\u1edbc. B\u1eb1ng c\u00e1ch s\u1eed d\u1ee5ng m\u00f4 h\u00ecnh to\u00e1n h\u1ecdc, ch\u00fang ta c\u00f3 th\u1ec3 x\u00e1c \u0111\u1ecbnh s\u1ed1 l\u01b0\u1ee3ng n\u01b0\u1edbc c\u1ea7n \u0111\u1ec3 duy tr\u00ec s\u1ef1 s\u1ed1ng c\u1ee7a c\u00e2y tr\u1ed3ng m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y gi\u00fap em t\u00ednh x\u00e1c su\u1ea5t khi c\u00f3 2 \u0111\u01b0\u1eddng \u0111\u01b0\u1eddng 1 v\u00e0 \u0111\u01b0\u1eddng 2, n\u1ebfu c\u00f3 30% xe ch\u1ecdn \u0111\u01b0\u1eddng 1 v\u00e0 70% xe ch\u1ecdn \u0111\u01b0\u1eddng 2."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh x\u00e1c su\u1ea5t khi c\u00f3 2 \u0111\u01b0\u1eddng v\u1edbi t\u1ec9 l\u1ec7 ch\u1ecdn \u0111\u01b0\u1eddng nh\u01b0 v\u1eady, ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c x\u00e1c su\u1ea5t. X\u00e1c su\u1ea5t \u0111\u1ec3 m\u1ed9t xe ch\u1ecdn \u0111\u01b0\u1eddng 1 l\u00e0 30% v\u00e0 ch\u1ecdn \u0111\u01b0\u1eddng 2 l\u00e0 70%. N\u1ebfu b\u1ea1n mu\u1ed1n t\u00ednh x\u00e1c su\u1ea5t c\u1ea3 hai xe \u0111\u1ec1u ch\u1ecdn c\u00f9ng m\u1ed9t \u0111\u01b0\u1eddng, b\u1ea1n c\u00f3 th\u1ec3 nh\u00e2n x\u00e1c su\u1ea5t c\u1ee7a t\u1eebng xe l\u1ea1i v\u1edbi nhau. V\u00ed d\u1ee5, x\u00e1c su\u1ea5t c\u1ea3 hai xe \u0111\u1ec1u ch\u1ecdn \u0111\u01b0nog 1 l\u00e0 30% x 30% = 9%. C\u00f2n x\u00e1c su\u1ea5t c\u1ea3 hai xe ch\u1ecdn \u0111\u01b0\u1eddng 2 l\u00e0 70% x 70% = 49%."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Em kh\u00f4ng bi\u1ebft c\u00e1ch x\u00e1c \u0111\u1ecbnh h\u00e0m s\u1ed1 x\u1ea5p x\u1ec9 trong to\u00e1n h\u1ecdc, anh c\u00f3 th\u1ec3 gi\u00fap em kh\u00f4ng?"}, {"role": "assistant", "content": "D\u0129 nhi\u00ean, b\u1ea1n c\u00f3 th\u1ec3 x\u00e1c \u0111\u1ecbnh h\u00e0m s\u1ed1 x\u1ea5p x\u1ec9 b\u1eb1ng nhi\u1ec1u ph\u01b0\u01a1ng ph\u00e1p kh\u00e1c nhau. M\u1ed9t ph\u01b0\u01a1ng ph\u00e1p ph\u1ed5 bi\u1ebfn l\u00e0 s\u1eed d\u1ee5ng \u0111\u01b0\u1eddng cong h\u1ed3i quy \u0111\u1ec3 t\u00ecm ra h\u00e0m s\u1ed1 g\u1ea7n \u0111\u00fang cho d\u1eef li\u1ec7u \u0111\u00e3 cho."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "T\u00ednh chu vi v\u00e0 di\u1ec7n t\u00edch c\u1ee7a m\u1ed9t h\u00ecnh tr\u00f2n c\u00f3 b\u00e1n k\u00ednh 5 cm."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh chu vi c\u1ee7a h\u00ecnh tr\u00f2n, ta d\u00f9ng c\u00f4ng th\u1ee9c C = 2\u03c0r. V\u1edbi b\u00e1n k\u00ednh r = 5 cm, ta c\u00f3 chu vi C = 2 x 3.14 x 5 = 31.4 cm. \u0110\u1ec3 t\u00ednh di\u1ec7n t\u00edch, ta d\u00f9ng c\u00f4ng th\u1ee9c S = \u03c0r^2. V\u1edbi b\u00e1n k\u00ednh r = 5 cm, ta c\u00f3 di\u1ec7n t\u00edch S = 3.14 x 5^2 = 78.5 cm^2."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho 2 tam gi\u00e1c ABC v\u00e0 DEF. Bi\u1ebft AB = DE, BC = EF v\u00e0 g\u00f3c ABC = g\u00f3c DEF. H\u00e3y ch\u1ee9ng minh tam gi\u00e1c ABC \u0111\u1ed3ng d\u1ea1ng v\u1edbi tam gi\u00e1c DEF."}, {"role": "assistant", "content": "\u0110\u1ec3 ch\u1ee9ng minh tam gi\u00e1c ABC \u0111\u1ed3ng d\u1ea1ng v\u1edbi tam gi\u00e1c DEF, ch\u00fang ta c\u1ea7n th\u00eam m\u1ed9t \u0111i\u1ec1u ki\u1ec7n n\u1eefa, \u0111\u00f3 l\u00e0 g\u00f3c gi\u1eefa 2 c\u1ea1nh b\u1eb1ng nhau (g\u00f3c A = g\u00f3c D). Khi \u0111\u00f3 theo \u0111\u1ecbnh l\u00fd c\u1ea1nh c\u00e2n, ta c\u00f3 th\u1ec3 ch\u1ee9ng minh \u0111\u1ed3ng d\u1ea1ng gi\u1eefa 2 tam gi\u00e1c."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "N\u1ebfu t\u00f4i n\u00e9m m\u1ed9t con s\u00fac s\u1eafc 6 c\u1ea1nh, x\u00e1c su\u1ea5t \u0111\u1ec3 ra m\u1eb7t s\u1ed1 4 l\u00e0 bao nhi\u00eau?"}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh x\u00e1c su\u1ea5t \u0111\u1ec3 ra m\u1eb7t s\u1ed1 4 khi n\u00e9m m\u1ed9t con s\u00fac s\u1eafc 6 c\u1ea1nh, ta l\u1ea5y s\u1ed1 tr\u01b0\u1eddng h\u1ee3p xu\u1ea5t hi\u1ec7n s\u1ed1 4 (1 tr\u01b0\u1eddng h\u1ee3p) chia cho t\u1ed5ng s\u1ed1 tr\u01b0\u1eddng h\u1ee3p (6 tr\u01b0\u1eddng h\u1ee3p), ngh\u0129a l\u00e0 1/6."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "T\u1ea1i sao ch\u00fang ta c\u1ea7n h\u1ecdc to\u00e1n trong cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y?"}, {"role": "assistant", "content": "Ch\u00fang ta c\u1ea7n h\u1ecdc to\u00e1n trong cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y v\u00ec n\u00f3 gi\u00fap ch\u00fang ta ph\u00e2n t\u00edch v\u00e0 gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 trong c\u00f4ng vi\u1ec7c, t\u00e0i ch\u00ednh, v\u00e0 trong cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y. V\u00ed d\u1ee5, t\u1eeb to\u00e1n h\u1ecdc, b\u1ea1n c\u00f3 th\u1ec3 t\u00ednh to\u00e1n l\u00e3i su\u1ea5t, gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 trong vi\u1ec7c \u0111i\u1ec1u ch\u1ec9nh ng\u00e2n s\u00e1ch c\u00e1 nh\u00e2n ho\u1eb7c th\u1eadm ch\u00ed l\u00e0 t\u00ednh to\u00e1n s\u1ed1 l\u01b0\u1ee3ng th\u1ef1c ph\u1ea9m c\u1ea7n chu\u1ea9n b\u1ecb cho m\u1ed9t b\u1eefa ti\u1ec7c."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho em h\u1ecfi, ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t l\u00e0 g\u00ec v\u1eady?"}, {"role": "assistant", "content": "Ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t l\u00e0 m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01a1n gi\u1ea3n c\u00f3 d\u1ea1ng ax + b = 0, trong \u0111\u00f3 a v\u00e0 b l\u00e0 h\u1eb1ng s\u1ed1. Ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y c\u00f3 ngu\u1ed3n g\u1ed1c t\u1eeb th\u1eddi k\u1ef3 c\u1ed5 \u0111\u1ea1i v\u00e0 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i trong to\u00e1n h\u1ecdc hi\u1ec7n \u0111\u1ea1i."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y gi\u1ea3i th\u00edch cho em c\u00e1ch t\u00ecm ra quy lu\u1eadt trong d\u00e3y s\u1ed1 sau: 2, 4, 8, 16, 32"}, {"role": "assistant", "content": "Nh\u00ecn v\u00e0o d\u00e3y s\u1ed1 n\u00e0y, ch\u00fang ta th\u1ea5y m\u1ed7i s\u1ed1 ti\u1ebfp theo l\u00e0 k\u1ebft qu\u1ea3 c\u1ee7a s\u1ed1 tr\u01b0\u1edbc \u0111\u00f3 nh\u00e2n v\u1edbi 2. V\u00ed d\u1ee5: 2 x 2 = 4, 4 x 2 = 8, 8 x 2 = 16, v\u00e0 16 x 2 = 32. V\u1eady quy lu\u1eadt trong d\u00e3y s\u1ed1 \u0111\u00f3 l\u00e0 nh\u00e2n v\u1edbi 2 \u0111\u1ec3 t\u00ecm ra s\u1ed1 ti\u1ebfp theo."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "L\u00e0m sao \u0111\u1ec3 t\u00ednh ra gi\u00e1 tr\u1ecb c\u1ee7a x trong ph\u01b0\u01a1ng tr\u00ecnh 2x + 5 = 15?"}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a x trong ph\u01b0\u01a1ng tr\u00ecnh 2x + 5 = 15, ch\u00fang ta c\u1ea7n tr\u1eeb 5 t\u1eeb c\u1ea3 hai ph\u00eda c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh. \u0110i\u1ec1u n\u00e0y s\u1ebd cho ch\u00fang ta 2x = 10. Ti\u1ebfp theo, chia c\u1ea3 hai ph\u00eda cho 2, ch\u00fang ta c\u00f3 x = 5."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho em h\u1ecfi v\u1ec1 l\u1ecbch s\u1eed c\u1ee7a to\u00e1n h\u1ecdc trong c\u00e1c n\u1ec1n v\u0103n minh c\u1ed5 \u0111\u1ea1i?"}, {"role": "assistant", "content": "Tron trong l\u1ecbch s\u1eed c\u1ee7a to\u00e1n h\u1ecdc, c\u00e1c n\u1ec1n v\u0103n minh c\u1ed5 \u0111\u1ea1i nh\u01b0 Ai C\u1eadp c\u1ed5 \u0111\u1ea1i, Hy L\u1ea1p v\u00e0 Babilon \u0111\u00e3 c\u00f3 nh\u1eefng \u0111\u00f3ng g\u00f3p quan tr\u1ecdng trong vi\u1ec7c ph\u00e1t tri\u1ec3n to\u00e1n h\u1ecdc. V\u00ed d\u1ee5, ng\u01b0\u1eddi Ai C\u1eadp c\u1ed5 \u0111\u1ea1i \u0111\u00e3 s\u1eed d\u1ee5ng c\u00e1c ph\u00e9p t\u00ednh v\u00e0 ph\u01b0\u01a1ng ph\u00e1p s\u1ed1 h\u1ecdc \u0111\u1ec3 x\u00e2y d\u1ef1ng c\u1ea5u tr\u00fac v\u00e0 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 trong x\u00e2y d\u1ef1ng c\u00e1c c\u00f4ng tr\u00ecnh ki\u1ebfn tr\u00fac l\u1edbn nh\u01b0 c\u00e1c \u0111\u1ec1n th\u1edd v\u00e0 kim t\u1ef1 th\u00e1p."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho tam gi\u00e1c ABC vu\u00f4ng t\u1ea1i A, g\u00f3c B b\u1eb1ng 30 \u0111\u1ed9 v\u00e0 AB = 5 cm. T\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh AC c\u1ee7a tam gi\u00e1c."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh AC c\u1ee7a tam gi\u00e1c ABC, ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng \u0111\u1ecbnh l\u00fd sin trong tam gi\u00e1c vu\u00f4ng. G\u1ecdi c\u1ea1nh AC l\u00e0 x, ta c\u00f3: sin30\u00b0 = x/5. T\u1eeb \u0111\u00f3, x = 5sin30\u00b0 = 2.5 cm. V\u1eady \u0111\u1ed9 d\u00e0i c\u1ea1nh AC c\u1ee7a tam gi\u00e1c ABC l\u00e0 2.5 cm."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho tam gi\u00e1c ABC vu\u00f4ng t\u1ea1i A, bi\u1ebft AB = 5 cm v\u00e0 BC = 12 cm. T\u00ednh c\u1ea1nh AC c\u1ee7a tam gi\u00e1c."}, {"role": "assistant", "content": "Ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng \u0111\u1ecbnh l\u00ed Pythagore (c^2 = a^2 + b^2) \u0111\u1ec3 t\u00ednh c\u1ea1nh c\u00f2n l\u1ea1i c\u1ee7a tam gi\u00e1c vu\u00f4ng. Do tam gi\u00e1c ABC vu\u00f4ng t\u1ea1i A n\u00ean ta c\u00f3: c^2 = 5^2 + 12^2 = 25 + 144 = 169. V\u1eady c^2 = 169 v\u00e0 c = \u221a169 = 13. V\u1eady c\u1ea1nh AC c\u1ee7a tam gi\u00e1c ABC l\u00e0 13 cm."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y gi\u1ea3i cho t\u00f4i m\u1ed9t b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn \u1ee9ng d\u1ee5ng c\u1ee7a h\u00ecnh vu\u00f4ng v\u00e0 h\u00ecnh ch\u1eef nh\u1eadt trong h\u00ecnh h\u1ecdc."}, {"role": "assistant", "content": "V\u00ed d\u1ee5, gi\u1ea3 s\u1eed ta c\u00f3 m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt c\u00f3 chi\u1ec1u d\u00e0i 10cm v\u00e0 chi\u1ec1u r\u1ed9ng 6cm. H\u00e3y t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh ch\u1eef nh\u1eadt \u0111o\u0301."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho tam gi\u00e1c ABC vu\u00f4ng t\u1ea1i A, AB = 3cm, BC = 4cm. T\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh c\u00f2n l\u1ea1i v\u00e0 chu vi tam gi\u00e1c ABC."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh c\u00f2n l\u1ea1i c\u1ee7a tam gi\u00e1c ABC, ta s\u1eed d\u1ee5ng \u0111\u1ecbnh l\u00ed Pythagore: c^2 = a^2 + b^2. V\u1edbi AB = 3cm v\u00e0 BC = 4cm, ta c\u00f3 AC^2 = 3^2 + 4^2 = 9 + 16 = 25. V\u1eady, \u0111\u1ed9 d\u00e0i c\u1ea1nh c\u00f2n l\u1ea1i AC = 5cm. Chu vi tam gi\u00e1c ABC l\u00e0 3 + 4 + 5 = 12cm."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y cho em bi\u1ebft ngu\u1ed3n g\u1ed1c c\u1ee7a kh\u00e1i ni\u1ec7m \u0111\u1ecbnh l\u00fd Euclid."}, {"role": "assistant", "content": "\u0110\u1ecbnh l\u00fd Euclid l\u00e0 m\u1ed9t trong nh\u1eefng kh\u00e1i ni\u1ec7m quan tr\u1ecdng trong h\u00ecnh h\u1ecdc Euclid \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng b\u1edfi Euclide, m\u1ed9t nh\u00e0 to\u00e1n h\u1ecdc Hy L\u1ea1p s\u1ed1ng v\u00e0o th\u1ebf k\u1ef7 th\u1ee9 3 tr\u01b0\u1edbc CN. \u0110\u1ecbnh l\u00fd Euclid \u0111\u01b0\u1ee3c ch\u1ee9ng minh th\u00f4ng qua lo\u1ea1t c\u00e1c b\u01b0\u1edbc logic m\u00e0 kh\u00f4ng d\u1ef1a v\u00e0o th\u1ef1c nghi\u1ec7m."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Em kh\u00f4ng hi\u1ec3u c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n, anh c\u00f3 th\u1ec3 gi\u00fap em kh\u00f4ng?"}, {"role": "assistant", "content": "T\u1ea5t nhi\u00ean, em \u0111\u00e2y l\u00e0 c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n. Di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c: S = \u03c0 * r^2. V\u00ed d\u1ee5 n\u1ebfu b\u00e1n k\u00ednh h\u00ecnh tr\u00f2n l\u00e0 5cm, ta c\u00f3 th\u1ec3 t\u00ednh di\u1ec7n t\u00edch: S = 3.14 * 5^2 = 78.5 cm^2"}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "B\u1ea1n \u01a1i, m\u1ed9t h\u1ed9p c\u00f3 h\u00ecnh d\u1ea1ng h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 chi\u1ec1u d\u00e0i 10cm, chi\u1ec1u r\u1ed9ng 5cm v\u00e0 chi\u1ec1u cao 3cm th\u00ec th\u1ec3 t\u00edch c\u1ee7a h\u1ed9p \u0111\u00f3 l\u00e0 bao nhi\u00eau?"}, {"role": "assistant", "content": "Th\u1ec3 t\u00edch c\u1ee7a h\u1ed9p ch\u1eef nh\u1eadt \u0111\u00f3 l\u00e0 s\u1ea3n c\u1ee7a \u0111\u1ed9 d\u00e0i, chi\u1ec1u r\u1ed9ng v\u00e0 chi\u1ec1u cao. V\u1eady th\u1ec3 t\u00edch c\u1ee7a h\u1ed9p l\u00e0 10cm x 5cm x 3cm = 150cm\u00b3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh vu\u00f4ng c\u00f3 c\u1ea1nh d\u00e0i 5 cm."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh vu\u00f4ng, ch\u00fang ta s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c: Di\u1ec7n t\u00edch = c\u1ea1nh * c\u1ea1nh. V\u1edbi c\u1ea1nh d\u00e0i 5 cm, di\u1ec7n t\u00edch s\u1ebd l\u00e0 5 * 5 = 25 cm^2."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho em h\u1ecfi m\u1ed9t v\u00ed d\u1ee5 v\u1ec1 c\u00e1ch s\u1eed d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc to\u00e1n c\u00e1 nh\u00e2n trong gi\u1ea3ng d\u1ea1y?"}, {"role": "assistant", "content": "V\u00ed d\u1ee5 v\u1ec1 ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc to\u00e1n c\u00e1 nh\u00e2n trong gi\u1ea3ng d\u1ea1y c\u00f3 th\u1ec3 l\u00e0 khi gi\u00e1o vi\u00ean ch\u1ec9 \u0111\u1ea1o t\u1eebng h\u1ecdc sinh tr\u00ean c\u00e1ch gi\u1ea3i m\u1ed9t b\u00e0i to\u00e1n theo c\u00e1ch ph\u00f9 h\u1ee3p v\u1edbi n\u0103ng l\u1ef1c v\u00e0 phong c\u00e1ch h\u1ecdc c\u1ee7a h\u1ecdc sinh \u0111\u00f3. V\u00ed d\u1ee5, n\u1ebfu m\u1ed9t h\u1ecdc sinh h\u1ecdc t\u1ed1t b\u1eb1ng c\u00e1ch l\u00e0m th\u1ef1c h\u00e0nh, gi\u00e1o vi\u00ean c\u00f3 th\u1ec3 giao cho h\u1ecdc sinh \u0111\u00f3 c\u00e1c b\u00e0i t\u1eadp th\u1ef1c h\u00e0nh \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng gi\u1ea3i to\u00e1n."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "M\u1ed9t kh\u1ed1i l\u1eadp ph\u01b0\u01a1ng c\u00f3 c\u1ea1nh b\u1eb1ng 5cm. T\u00ednh th\u1ec3 t\u00edch c\u1ee7a kh\u1ed1i l\u1eadp ph\u01b0\u01a1ng \u0111o \u0111\u00f3?"}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh th\u1ec3 t\u00edch c\u1ee7a kh\u1ed1i l\u1eadp ph\u01b0\u01a1ng, ta s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c V = a^3, trong \u0111\u00f3 a l\u00e0 c\u1ea1nh c\u1ee7a kh\u1ed1i l\u1eadp ph\u01b0\u01a1ng. V\u1edbi a = 5cm, ta c\u00f3 th\u1ec3 t\u00edch l\u00e0 125 cm^3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "B\u1ea1n c\u00f3 th\u1ec3 gi\u00fap t\u00f4i v\u1edbi b\u00e0i to\u00e1n v\u1ec1 tung \u0111\u1ed3ng xu kh\u00f4ng?"}, {"role": "assistant", "content": "Ch\u1eafc ch\u1eafn! H\u00e3y n\u00eau c\u00e2u h\u1ecfi c\u1ee7a b\u1ea1n v\u1ec1 vi\u1ec7c tung \u0111\u1ed3ng xu."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho m\u1ed9t lo\u1ea1i h\u00ecnh ch\u1eef nh\u1eadt c\u00f3 chu vi l\u00e0 24cm v\u00e0 di\u1ec7n t\u00edch l\u00e0 32cm^2, c\u00e1c c\u1ea1nh c\u1ee7a h\u00ecnh ch\u1eef nh\u1eadt \u0111\u00f3 l\u00e0 bao nhi\u00eau?"}, {"role": "assistant", "content": "\u0110\u1ec3 gi\u1ea3i b\u00e0i to\u00e1n n\u00e0y, ta c\u1ea7n s\u1eed d\u1ee5ng h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh v\u1edbi 2 \u1ea9n. G\u1ecdi chi\u1ec1u r\u1ed9ng c\u1ee7a h\u00ecnh ch\u1eef nh\u1eadt l\u00e0 x, chi\u1ec1u d\u00e0i l\u00e0 y. Ta c\u00f3 h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh t\u1eeb d\u1eef li\u1ec7u \u0111\u00e3 cho: 2x + 2y = 24 v\u00e0 xy = 32. Gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y s\u1ebd cho ta k\u1ebft qu\u1ea3 l\u00e0 x = 8 v\u00e0 y = 4. V\u1eady c\u1ea1nh chi\u1ec1u d\u00e0i l\u00e0 8cm v\u00e0 chi\u1ec1u r\u1ed9ng l\u00e0 4cm."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y gi\u1ea3i cho t\u00f4i b\u00e0i to\u00e1n sau: N\u1ebfu m\u1ed9t h\u1ecdc sinh c\u1ea7n 3 ph\u00fat \u0111\u1ec3 gi\u1ea3i xong m\u1ed9t c\u00e2u h\u1ecfi, th\u00ec c\u1ea7n bao nhi\u00eau ph\u00fat \u0111\u1ec3 gi\u1ea3i 10 c\u00e2u h\u1ecfi?"}, {"role": "assistant", "content": "\u0110\u1ec3 gi\u1ea3i b\u00e0i to\u00e1n n\u00e0y, ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p t\u1ef7 l\u1ec7. V\u00ec v\u1eady, n\u1ebfu m\u1ed9t c\u00e2u h\u1ecfi c\u1ea7n 3 ph\u00fat \u0111\u1ec3 gi\u1ea3i, th\u00ec 10 c\u00e2u h\u1ecfi s\u1ebd c\u1ea7n t\u1ed5ng c\u1ed9ng 30 ph\u00fat \u0111\u1ec3 gi\u1ea3i xong."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "T\u00ecm s\u1ed1 nguy\u00ean d\u01b0\u01a1ng n nh\u1ecf nh\u1ea5t sao cho n^2 > 100."}, {"role": "assistant", "content": "B\u1ea1n c\u1ea7n t\u00ecm s\u1ed1 nguy\u00ean d\u01b0\u01a1ng n nh\u1ecf nh\u1ea5t sao cho n^2 > 100. Ta c\u00f3 th\u1ec3 th\u1eed c\u00e1c gi\u00e1 tr\u1ecb cho n \u0111\u1ec3 t\u00ecm k\u1ebft qu\u1ea3. V\u1edbi n = 11, ta c\u00f3 11^2 = 121 > 100, v\u1eady n = 11 l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng nh\u1ecf nh\u1ea5t c\u1ea7n t\u00ecm."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "T\u00ednh \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 y = x^3 - 2x^2 + 5x - 1"}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 y = x^3 - 2x^2 + 5x - 1, ch\u00fang ta s\u1ebd s\u1eed d\u1ee5ng nguy\u00ean l\u00fd \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 \u0111a th\u1ee9c. B\u1ea1n th\u1eed t\u00ednh xem \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 \u0111\u00f3 l\u00e0 bao nhi\u00eau nh\u00e9."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho tam gi\u00e1c vu\u00f4ng ABC v\u1edbi g\u00f3c A b\u1eb1ng 30 \u0111\u1ed9. T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a sin(A)."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a sin(A) trong tam gi\u00e1c vu\u00f4ng ABC v\u1edbi g\u00f3c A b\u1eb1ng 30 \u0111\u1ed9, ch\u00fang ta bi\u1ebft r\u1eb1ng sin(A) = \u0111\u1ed1i s\u1ed1 / gi\u1ea3 s\u1ed1. Trong tam gi\u00e1c vu\u00f4ng, \u0111\u1ed1i s\u1ed1 c\u1ee7a g\u00f3c A l\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n, t\u1ee9c l\u00e0 BC. V\u00ec g\u00f3c A = 30 \u0111\u1ed9, ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c sin(30) = 1/2. V\u1eady sin(A) = 1/2."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y cho bi\u1ebft ph\u00e1t minh to\u00e1n h\u1ecdc quan tr\u1ecdng n\u00e0o \u0111\u00e3 \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n trong th\u1ebf k\u1ef7 17?"}, {"role": "assistant", "content": "Trong th\u1ebf k\u1ef7 17, m\u1ed9t ph\u00e1t minh to\u00e1n h\u1ecdc quan tr\u1ecdng l\u00e0 ph\u01b0\u01a1ng tr\u00ecnh Fermat \u0111\u00e3 \u0111\u01b0\u1ee3c gi\u1ea3i quy\u1ebft. Pierre de Fermat v\u00e0 Blaise Pascal \u0111\u00e3 \u0111\u01b0a ra gi\u1ea3i ph\u00e1p cho v\u1ea5n \u0111\u1ec1 n\u00e0y trong th\u1ebf k\u1ef7 17."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho bi\u1ec3u th\u1ee9c x^2 - 5x + 6, h\u00e3y t\u00ecm c\u00e1c nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ecm nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh x^2 - 5x + 6 = 0, ta c\u1ea7n gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai. Ta c\u00f3 th\u1ec3 ph\u00e2n t\u00edch th\u00e0nh (x - 2)(x - 3) = 0. V\u1eady nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 x = 2 ho\u1eb7c x = 3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho m\u1ed9t v\u00f2ng tr\u00f2n c\u00f3 b\u00e1n k\u00ednh 5 cm, t\u00ednh v\u1eadn t\u1ed1c g\u00f3c khi v\u1eadn t\u1ed1c tuy\u1ebfn t\u00ednh l\u00e0 10 cm/s."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh v\u1eadn t\u1ed1c g\u00f3c, ta s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c: \u03c9 = v/r v\u1edbi \u03c9 l\u00e0 v\u1eadn t\u1ed1c g\u00f3c, v l\u00e0 v\u1eadn t\u1ed1c tuy\u1ebfn t\u00ednh v\u00e0 r l\u00e0 b\u00e1n k\u00ednh v\u00f2ng tr\u00f2n. V\u1edbi v=10 cm/s v\u00e0 r=5 cm, ta c\u00f3 \u03c9 = 10/5 = 2 rad/s."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y gi\u00fap t\u00f4i gi\u1ea3i b\u00e0i to\u00e1n: T\u00ecm s\u1ed1 nguy\u00ean d\u01b0\u01a1ng n nh\u1ecf nh\u1ea5t sao cho (n + 1)! chia h\u1ebft cho 10^6."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ecm s\u1ed1 nguy\u00ean d\u01b0\u01a1ng n nh\u1ecf nh\u1ea5t sao cho (n + 1)! chia h\u1ebft cho 10^6, ta c\u1ea7n ph\u00e2n t\u00edch th\u00e0nh ph\u1ea7n nguy\u00ean t\u1ed1 c\u1ee7a 10^6. 10^6 = 2^6 * 5^6. Do \u0111\u00f3, ta c\u1ea7n t\u00ecm s\u1ed1 nguy\u00ean d\u01b0\u01a1ng n sao cho (n + 1)! c\u00f3 \u00edt nh\u1ea5t 6 th\u1eeba s\u1ed1 2 v\u00e0 6 th\u1eeba s\u1ed1 5. B\u1ea1n c\u00f3 th\u1ec3 t\u00ecm gi\u1ea3i ph\u00e1p gi\u00fap m\u00ecnh kh\u00f4ng?"}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Chuy\u1ec7n v\u1ec1 ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc to\u00e1n d\u1ef1a tr\u00ean h\u1ecdc v\u1ea5n l\u00e0 g\u00ec?"}, {"role": "assistant", "content": "Ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc to\u00e1n d\u1ef1a tr\u00ean h\u1ecdc v\u1ea5n l\u00e0 ph\u01b0\u01a1ng ph\u00e1p gi\u00e1o d\u1ee5c m\u00e0 h\u1ecdc sinh \u0111\u01b0\u1ee3c khuy\u1ebfn kh\u00edch tham gia v\u00e0o c\u00e1c v\u1ea5n \u0111\u1ec1 th\u1ef1c t\u1ebf, gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 th\u1ef1c t\u1ebf b\u1eb1ng c\u00e1ch t\u00ednh to\u00e1n. V\u00ed d\u1ee5, n\u1ebfu b\u1ea1n \u0111ang h\u1ecdc v\u1ec1 di\u1ec7n t\u00edch, b\u1ea1n c\u00f3 th\u1ec3 t\u00ednh di\u1ec7n t\u00edch c\u1ee7a m\u1ed9t khu v\u01b0\u1eddn ho\u1eb7c m\u1ed9t s\u00e2n th\u1ec3 thao \u0111\u1ec3 hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 kh\u00e1i ni\u1ec7m \u0111\u00f3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho t\u00f4i bi\u1ebft v\u1ec1 l\u1ecbch s\u1eed c\u1ee7a b\u1ed9 d\u1ee5ng c\u1ee5 to\u00e1n h\u1ecdc?"}, {"role": "assistant", "content": "Trong l\u1ecbch s\u1eed, b\u1ed9 d\u1ee5ng c\u1ee5 to\u00e1n h\u1ecdc \u0111\u00e3 tr\u1ea3i qua s\u1ef1 ti\u1ebfn h\u00f3a \u0111\u00e1ng kinh ng\u1ea1c. Ban \u0111\u1ea7u, ng\u01b0\u1eddi ta s\u1eed d\u1ee5ng nh\u1eefng c\u00f4ng c\u1ee5 \u0111\u01a1n gi\u1ea3n nh\u01b0 que t\u00ednh, r\u1ed3i t\u1eeb \u0111\u00f3 \u0111\u00e3 ph\u00e1t tri\u1ec3n \u0111\u1ebfn vi\u1ec7c s\u1eed d\u1ee5ng b\u1ea3ng t\u00ednh, th\u01b0\u1edbc \u0111o, v\u00f2ng \u0111\u1ed3ng h\u1ed3 v\u00e0 c\u00e1c c\u00f4ng c\u1ee5 to\u00e1n h\u1ecdc ph\u1ee9c t\u1ea1p kh\u00e1c nh\u01b0 b\u1ed9 d\u1ee5ng c\u1ee5 \u0111\u1ec3 t\u00ednh to\u00e1n gi\u1ea3i t\u00edch v\u00e0 h\u00ecnh h\u1ecdc."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho m\u1ed9t h\u00ecnh tam gi\u00e1c ABC v\u1edbi \u0111i\u1ec3m A(2, 3), B(5, 1), C(4, 6). H\u00e3y th\u1ef1c hi\u1ec7n ph\u00e9p bi\u1ebfn \u0111\u1ed5i t\u1ecbnh ti\u1ebfn sao cho tam gi\u00e1c m\u1edbi c\u00f3 \u0111i\u1ec3m A'(5, 6)."}, {"role": "assistant", "content": "\u0110\u1ec3 tam gi\u00e1c ABC bi\u1ebfn \u0111\u1ed5i th\u00e0nh tam gi\u00e1c c\u00f3 \u0111i\u1ec3m A'(5, 6), ta ph\u1ea3i t\u1ecbnh ti\u1ebfn h\u00ecnh h\u1ecdc h\u00ecnh ABC theo vector (-3, 3) \u0111\u1ec3 \u0111i\u1ec3m A \u0111\u1ebfn \u0111i\u1ec3m A'. C\u00f4ng th\u1ee9c t\u1ecbnh ti\u1ebfn: (x', y') = (x + a, y + b). V\u1eady m\u1edbi h\u00ecnh m\u1edbi s\u1ebd l\u00e0 tam gi\u00e1c A'B'C v\u1edbi A'(5, 6), B'(2, 4) v\u00e0 C'(1, 9)."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a x khi gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh 2x - 5 < x + 3."}, {"role": "assistant", "content": "Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh 2x - 5 < x + 3 ta \u0111\u01b0\u1ee3c: x < 8. V\u1eady gi\u00e1 tr\u1ecb c\u1ee7a x l\u00e0 t\u1ea5t c\u1ea3 c\u00e1c s\u1ed1 th\u1ef1c nh\u1ecf h\u01a1n 8."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Em kh\u00f4ng hi\u1ec3u v\u1ec1 k\u1ebft xu\u1ea5t s\u1ef1 bi\u1ebfn \u0111\u1ed9ng c\u1ee7a th\u1ecb tr\u01b0\u1eddng ch\u1ee9ng kho\u00e1n. Anh c\u00f3 th\u1ec3 gi\u00fap em kh\u00f4ng?"}, {"role": "assistant", "content": "D\u0129 nhi\u00ean, em h\u00e3y xem v\u00ed d\u1ee5 n\u00e0y nh\u00e9: N\u1ebfu m\u1ed9t c\u1ed5 phi\u1ebfu t\u0103ng gi\u00e1 t\u1eeb $50 l\u00ean $70 trong v\u00f2ng m\u1ed9t tu\u1ea7n, th\u00ec t\u1ec9 l\u1ec7 t\u0103ng tr\u01b0\u1edfng l\u00e0 bao nhi\u00eau?"}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho tam gi\u00e1c ABC c\u00f3 AB = 3cm, BC = 4cm v\u00e0 AC = 5cm. T\u00ednh t\u1ef7 s\u1ed1 gi\u1eefa chu vi v\u00e0 di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c ABC."}, {"role": "assistant", "content": "Chu vi c\u1ee7a tam gi\u00e1c ABC l\u00e0 3 + 4 + 5 = 12cm. Di\u1ec7n t\u00edch tam gi\u00e1c ABC = 1/2 * AB * BC = 1/2 * 3 * 4 = 6cm\u00b2. T\u1ef7 s\u1ed1 chu vi v\u00e0 di\u1ec7n t\u00edch l\u00e0 12/6 = 2."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho em bi\u1ebft v\u00ed d\u1ee5 v\u1ec1 c\u00e1ch s\u1eed d\u1ee5ng v\u1eadt d\u1ee5ng h\u1ecdc t\u1eadp trong m\u00f4n To\u00e1n?"}, {"role": "assistant", "content": "V\u00ed d\u1ee5 v\u1ec1 c\u00e1ch s\u1eed d\u1ee5ng v\u1eadt d\u1ee5ng h\u1ecdc t\u1eadp trong m\u00f4n To\u00e1n l\u00e0 vi\u1ec7c s\u1eed d\u1ee5ng que t\u00ednh, h\u00ecnh h\u1ecdc v\u00e0 \u00e1nh x\u1ea1 \u0111\u1ec3 gi\u00fap h\u1ecdc sinh hi\u1ec3u v\u1ea5n \u0111\u1ec1 m\u1ed9t c\u00e1ch tr\u1ef1c quan v\u00e0 c\u00f3 th\u1ec3 th\u1ea5y \u0111\u01b0\u1ee3c m\u1ed1i li\u00ean h\u1ec7 gi\u1eefa c\u00e1c kh\u00e1i ni\u1ec7m."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Em kh\u00f4ng hi\u1ec3u c\u00e1ch gi\u1ea3i b\u00e0i t\u1eadp v\u1ec1 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t. Anh/ch\u1ecb c\u00f3 th\u1ec3 gi\u00fap em kh\u00f4ng?"}, {"role": "assistant", "content": "\u0110\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t, ta d\u00f9ng c\u00f4ng th\u1ee9c ax + b = c. V\u00ed d\u1ee5, n\u1ebfu c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh 2x + 3 = 7, ta gi\u1ea3i b\u1eb1ng c\u00e1ch l\u1ea5y c - b chia cho a, t\u1ee9c l\u00e0 7 - 3 chia cho 2. K\u1ebft qu\u1ea3 s\u1ebd l\u00e0 x = 2."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho h\u00e0m s\u1ed1 y = 2x + 3, t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a y khi x = 5."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a y khi x = 5, ta substitue gi\u00e1 tr\u1ecb c\u1ee7a x v\u00e0o h\u00e0m s\u1ed1: y = 2*5 + 3 = 13."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho tam gi\u00e1c ABC vu\u00f4ng t\u1ea1i A, bi\u1ebft g\u00f3c B = 30 \u0111\u1ed9. T\u00ednh g\u00f3c C."}, {"role": "assistant", "content": "G\u00f3c C trong tam gi\u00e1c vu\u00f4ng lu\u00f4n b\u1eb1ng 90 \u0111\u1ed9 tr\u1eeb \u0111i t\u1ed5ng c\u1ee7a hai g\u00f3c kh\u00e1c. V\u00ec v\u1eady, g\u00f3c C = 90 - 30 = 60 \u0111\u1ed9."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho 1 \u00f4 vu\u00f4ng Sudoku 9x9 tr\u1ed1ng. Gi\u1edbi h\u1ea1n s\u1ed1 t\u1eeb 1 \u0111\u1ebfn 9 t\u1ed3n t\u1ea1i trong m\u1ed7i h\u00e0ng, c\u1ed9t v\u00e0 kh\u1ed1i 3x3. Em c\u00f3 th\u1ec3 d\u00f9ng chi\u1ebfn thu\u1eadt n\u00e0o \u0111\u1ec3 gi\u1ea3i b\u1ea3ng n\u00e0y?"}, {"role": "assistant", "content": "Em c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng chi\u1ebfn thu\u1eadt 'suy lu\u1eadn qua quy t\u1eafc lo\u1ea1i tr\u1eeb'. B\u1eaft \u0111\u1ea7u b\u1eb1ng vi\u1ec7c \u0111i\u1ec1n s\u1ed1 c\u00f3 th\u1ec3 duy nh\u1ea5t v\u00e0o \u00f4 nh\u1ecf nh\u1ea5t, sau \u0111\u00f3 ti\u1ebfn xa h\u01a1n t\u1eeb \u0111\u00f3. N\u1ebfu m\u1ed9t s\u1ed1 kh\u00f4ng th\u1ec3 \u0111i\u1ec1n v\u00e0o m\u1ed9t \u00f4, h\u00e3y lo\u1ea1i b\u1ecf n\u00f3 kh\u1ecfi c\u00e1c \u00f4 kh\u00e1c trong c\u00f9ng h\u00e0ng, c\u1ed9t v\u00e0 kh\u1ed1i 3x3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho h\u00e0m s\u1ed1 y = x^2. V\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a h\u00e0m s\u1ed1 n\u00e0y v\u00e0 gi\u1ea3i th\u00edch \u00fd ngh\u0129a c\u1ee7a \u0111\u1ea1o h\u00e0m t\u1ea1i m\u1ed9t \u0111i\u1ec3m c\u1ee5 th\u1ec3."}, {"role": "assistant", "content": "\u0110\u1ec3 v\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a h\u00e0m s\u1ed1 y = x^2, ta bi\u1ebft r\u1eb1ng \u0111\u00e2y l\u00e0 m\u1ed9t parabol m\u1edf l\u00ean. \u0110\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 n\u00e0y l\u00e0 y' = 2x. Khi x\u00e1c \u0111\u1ecbnh \u0111\u1ea1o h\u00e0m t\u1ea1i m\u1ed9t \u0111i\u1ec3m c\u1ee5 th\u1ec3, ch\u00fang ta c\u00f3 th\u1ec3 bi\u1ebft t\u1ed1c \u0111\u1ed9 thay \u0111\u1ed5i c\u1ee7a h\u00e0m s\u1ed1 t\u1ea1i \u0111i\u1ec3m \u0111\u00f3. V\u00ed d\u1ee5 n\u1ebfu ch\u00fang ta x\u00e9t \u0111i\u1ec3m (2, 4), \u0111\u1ea1o h\u00e0m t\u1ea1i \u0111i\u1ec3m n\u00e0y s\u1ebd l\u00e0 4, cho bi\u1ebft h\u00e0m s\u1ed1 \u0111ang t\u0103ng t\u1ed1c \u0111\u1ed9 t\u1ea1i \u0111i\u1ec3m \u0111\u00f3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Em h\u1ecdc sinh v\u1eeba h\u1ecdc v\u1ec1 rate nguy\u00ean v\u00e0 mu\u1ed1n hi\u1ec3u th\u00eam v\u1ec1 b\u00e0i to\u00e1n related rates v\u1edbi v\u00ed d\u1ee5 c\u1ee5 th\u1ec3. Anh/ch\u1ecb c\u00f3 th\u1ec3 gi\u00fap em kh\u00f4ng?"}, {"role": "assistant", "content": "Ch\u1eafc ch\u1eafn! V\u00ed d\u1ee5 v\u1ec1 b\u00e0i to\u00e1n related rates l\u00e0 khi b\u1ea1n c\u00f3 m\u1ed9t h\u00ecnh vu\u00f4ng c\u00f3 c\u1ea1nh \u0111ang t\u0103ng v\u1edbi t\u1ed1c \u0111\u1ed9 c\u1ed1 \u0111\u1ecbnh. N\u1ebfu bi\u1ebft t\u1ed1c \u0111\u1ed9 t\u0103ng c\u1ee7a c\u1ea1nh l\u00e0 3 cm/s, h\u1ecfi t\u1ed1c \u0111\u1ed9 thay \u0111\u1ed5i c\u1ee7a di\u1ec7n t\u00edch h\u00ecnh vu\u00f4ng khi c\u1ea1nh \u0111ang t\u0103ng l\u00e0 bao nhi\u00eau?"}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho 5 l\u00edt n\u01b0\u1edbc v\u00e0o chai 8 l\u00edt, h\u1ecfi ph\u1ea3i l\u1ea5y bao nhi\u00eau l\u00edt n\u01b0\u1edbc ra kh\u1ecfi chai \u0111\u1ec3 ch\u1ec9 c\u00f2n 3 l\u00edt n\u01b0\u1edbc?"}, {"role": "assistant", "content": "\u0110\u1ec3 ch\u1ec9 c\u00f2n 3 l\u00edt n\u01b0\u1edbc trong chai, ta c\u1ea7n l\u1ea5y 5 l\u00edt n\u01b0\u1edbc ra kh\u1ecfi chai."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y gi\u1ea3i gi\u00fap t\u00f4i b\u00e0i to\u00e1n: T\u00ecm x khi bi\u1ebft 2x + 5 = 15."}, {"role": "assistant", "content": "\u0110\u1ec3 gi\u1ea3i b\u00e0i to\u00e1n n\u00e0y, ch\u00fang ta c\u1ea7n gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh 2x + 5 = 15. Ta tr\u1eeb c\u1ea3 hai v\u1ebf c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh \u0111i 5, ta \u0111\u01b0\u1ee3c 2x = 10. Cu\u1ed1i c\u00f9ng chia c\u1ea3 hai v\u1ebf cho 2, ta s\u1ebd c\u00f3 x = 5."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho h\u00ecnh ch\u1eef nh\u1eadt ABCD c\u00f3 BC = 8 v\u00e0 AD = 6. T\u00ednh chu vi c\u1ee7a h\u00ecnh ch\u1eef nh\u1eadt."}, {"role": "assistant", "content": "Chu vi c\u1ee7a h\u00ecnh ch\u1eef nh\u1eadt ABCD l\u00e0 (BC + AD) x 2 = (8 + 6) x 2 = 28."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y gi\u00fap em gi\u1ea3i b\u00e0i to\u00e1n: C\u00f3 m\u1ed9t ng\u00f4i nh\u00e0 v\u1edbi 4 c\u1eeda. M\u1ed7i c\u1eeda c\u00f3 1 ch\u00fa m\u00e8o. M\u1ed7i ch\u00fa m\u00e8o c\u00f3 3 con m\u00e8o. H\u1ecfi trong ng\u00f4i nh\u00e0 \u0111\u00f3, c\u00f3 t\u1ea5t c\u1ea3 bao nhi\u00eau con m\u00e8o?"}, {"role": "assistant", "content": "S\u1ed1 con m\u00e8o trong ng\u00f4i nh\u00e0 \u0111\u00f3 l\u00e0 16 con. B\u1ea1n c\u00f3 4 ch\u00fa m\u00e8o trong ng\u00f4i nh\u00e0, m\u1ed7i ch\u00fa c\u00f3 3 con, v\u00ec v\u1eady t\u1ed5ng c\u1ed9ng l\u00e0 4 * 3 = 12 con m\u00e8o c\u1ee7a c\u00e1c ch\u00fa. Ngo\u00e0i ra, m\u1ed7i ch\u00fa m\u00e8o c\u0169ng l\u00e0 1 con m\u00e8o, n\u00ean t\u1ed5ng s\u1ed1 con m\u00e8o l\u00e0 12 + 4 = 16 con."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Em c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng \u0111\u1ea1i s\u1ed1 tuy\u1ebfn t\u00ednh v\u00e0o th\u1ef1c t\u1ebf nh\u01b0 th\u1ebf n\u00e0o?"}, {"role": "assistant", "content": "V\u00ed d\u1ee5 v\u1ec1 \u1ee9ng d\u1ee5ng c\u1ee7a \u0111\u1ea1i s\u1ed1 tuy\u1ebfn t\u00ednh trong cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y l\u00e0 khi ch\u00fang ta ph\u00e2n t\u00edch d\u1eef li\u1ec7u \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n xu h\u01b0\u1edbng ti\u00eau d\u00f9ng c\u1ee7a kh\u00e1ch h\u00e0ng d\u1ef1a tr\u00ean c\u00e1c bi\u1ebfn nh\u01b0 gi\u00e1 c\u1ea3, tu\u1ed5i t\u00e1c, v\u00e0 s\u1edf th\u00edch c\u00e1 nh\u00e2n."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Em kh\u00f4ng hi\u1ec3u c\u00e1ch gi\u1ea3i b\u00e0i to\u00e1n t\u1ed1i \u01b0u, b\u1ea1n c\u00f3 th\u1ec3 gi\u00fap em kh\u00f4ng?"}, {"role": "assistant", "content": "D\u0129 nhi\u00ean! M\u1ed9t v\u00ed d\u1ee5 v\u1ec1 b\u00e0i to\u00e1n t\u1ed1i \u01b0u l\u00e0 khi b\u1ea1n c\u1ea7n t\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t ho\u1eb7c nh\u1ecf nh\u1ea5t c\u1ee7a m\u1ed9t h\u00e0m trong m\u1ed9t kho\u1ea3ng x\u00e1c \u0111\u1ecbnh. V\u00ed d\u1ee5, n\u1ebfu b\u1ea1n mu\u1ed1n t\u1ed1i \u01b0u h\u00e0m f(x) = x^2 trong kho\u1ea3ng t\u1eeb 0 \u0111\u1ebfn 5, b\u1ea1n c\u1ea7n t\u00ecm gi\u00e1 tr\u1ecb x \u0111\u1ec3 f(x) \u0111\u1ea1t gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t ho\u1eb7c l\u1edbn nh\u1ea5t trong kho\u1ea3ng \u0111\u00f3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho x = 2, y = 3, t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c 2x + 3y."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c 2x + 3y khi x = 2, y = 3, ta thay gi\u00e1 tr\u1ecb c\u1ee7a x v\u00e0 y v\u00e0o bi\u1ec3u th\u1ee9c \u0111\u00f3. 2 * 2 + 3 * 3 = 4 + 9 = 13. V\u1eady gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c l\u00e0 13."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "T\u00f4i kh\u00f4ng hi\u1ec3u c\u00f4ng th\u1ee9c c\u1ee7a Pythagoras. B\u1ea1n c\u00f3 th\u1ec3 gi\u00fap t\u00f4i kh\u00f4ng?"}, {"role": "assistant", "content": "Ch\u1eafc ch\u1eafn! C\u00f4ng th\u1ee9c c\u1ee7a Pythagoras \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh huy\u1ec1n c\u1ee7a m\u1ed9t tam gi\u00e1c vu\u00f4ng. \u0110\u00f3 l\u00e0 a^2 + b^2 = c^2, trong \u0111\u00f3 a v\u00e0 b l\u00e0 \u0111\u1ed9 d\u00e0i c\u00e1c c\u1ea1nh g\u00f3c vu\u00f4ng v\u00e0 c l\u00e0 \u0111\u1ed9 d\u00e0i c\u1ea1nh huy\u1ec1n. V\u00ed d\u1ee5, n\u1ebfu a = 3 v\u00e0 b = 4, ch\u00fang ta c\u00f3 th\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c c l\u00e0 $\rac{5}$."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "T\u00ednh x\u00e1c su\u1ea5t cho m\u1ed9t \u1ee9ng c\u1eed vi\u00ean trong cu\u1ed9c b\u1ea7u c\u1eed \u0111\u00e3 th\u1eafng d\u1ef1a tr\u00ean k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng c\u1ee7a cu\u1ed9c b\u1ea7u c\u1eed."}, {"role": "assistant", "content": "Xin ch\u00e0o! \u0110\u1ec3 t\u00ednh x\u00e1c su\u1ea5t cho m\u1ed9t \u1ee9ng c\u1eed vi\u00ean th\u1eafng trong cu\u1ed9c b\u1ea7u c\u1eed, ch\u00fang ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c x\u00e1c su\u1ea5t \u0111\u01a1n gi\u1ea3n. N\u1ebfu \u1ee9ng c\u1eed vi\u00ean n\u00e0y \u0111\u00e3 th\u1eafng cu\u1ed9c b\u1ea7u c\u1eed tr\u01b0\u1edbc \u0111\u00f3 v\u1edbi x\u00e1c su\u1ea5t 0.6 v\u00e0 hi\u1ec7n \u0111ang c\u1ea1nh tranh trong cu\u1ed9c b\u1ea7u c\u1eed m\u1edbi v\u1edbi x\u00e1c su\u1ea5t th\u1eafng l\u00e0 0.7, th\u00ec x\u00e1c su\u1ea5t \u1ee9ng c\u1eed vi\u00ean n\u00e0y th\u1eafng c\u1ea3 hai cu\u1ed9c b\u1ea7u c\u1eed l\u00e0 0.6 x 0.7 = 0.42."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho tam gi\u00e1c vu\u00f4ng ABC v\u1edbi g\u00f3c A b\u1eb1ng 30 \u0111\u1ed9. T\u00ednh sin 30 v\u00e0 cos 60"}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh sin 30 \u0111\u1ed9, ta bi\u1ebft r\u1eb1ng sin 30 \u0111\u1ed9 b\u1eb1ng 0.5. \u0110\u1ec3 t\u00ednh cos 60 \u0111\u1ed9, ta s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c cos(90 - x) = sin(x), suy ra cos 60 \u0111\u1ed9 c\u0169ng b\u1eb1ng 0.5."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho bi\u1ebft x\u00e1c su\u1ea5t tr\u00fang s\u1ed1 \u0111\u1ec1 x\u1ed5 s\u1ed1 khi ch\u1ecdn 1 s\u1ed1 t\u1eeb 00 \u0111\u1ebfn 99?"}, {"role": "assistant", "content": "X\u00e1c su\u1ea5t tr\u00fang s\u1ed1 \u0111\u1ec1 x\u1ed5 s\u1ed1 khi ch\u1ecdn 1 s\u1ed1 t\u1eeb 00 \u0111\u1ebfn 99 l\u00e0 1/100 hay 1%. V\u00ed d\u1ee5, n\u1ebfu b\u1ea1n ch\u1ecdn s\u1ed1 28, x\u00e1c su\u1ea5t tr\u00fang s\u1ed1 \u0111\u00f3 trong m\u1ed9t l\u1ea7n x\u1ed5 s\u1ed1 l\u00e0 1/100."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y t\u00ednh di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt c\u00f3 chi\u1ec1u d\u00e0i l\u00e0 5 v\u00e0 chi\u1ec1u r\u1ed9ng l\u00e0 3."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt, b\u1ea1n nh\u00e2n chi\u1ec1u d\u00e0i v\u1edbi chi\u1ec1u r\u1ed9ng. V\u1eady di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt l\u00e0 5 x 3 = 15 \u0111\u01a1n v\u1ecb di\u1ec7n t\u00edch."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Em c\u00f3 th\u1ec3 gi\u1ea3i th\u00edch c\u00e1ch t\u00ednh \u0111\u1ea1o h\u00e0m cho t\u00f4i kh\u00f4ng?"}, {"role": "assistant", "content": "Ch\u1eafc ch\u1eafn! V\u00ed d\u1ee5, n\u1ebfu m\u1ed9t v\u1eadt r\u01a1i t\u1ef1 do t\u1eeb \u0111\u1ed9 cao h v\u1edbi v\u1eadn t\u1ed1c ban \u0111\u1ea7u l\u00e0 0, th\u00ec \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m v\u1ecb tr\u00ed theo th\u1eddi gian s\u1ebd cho ch\u00fang ta v\u1eadn t\u1ed1c c\u1ee7a v\u1eadt t\u1ea1i th\u1eddi \u0111i\u1ec3m \u0111\u00f3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho ph\u01b0\u01a1ng tr\u00ecnh y = 2x + 3. H\u00e3y v\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y."}, {"role": "assistant", "content": "\u0110\u1ec3 v\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh y = 2x + 3, ch\u00fang ta c\u1ea7n l\u1ea5y m\u1ed9t s\u1ed1 gi\u00e1 tr\u1ecb c\u1ee7a x v\u00e0 t\u00ednh \u0111\u01b0\u1ee3c gi\u00e1 tr\u1ecb t\u01b0\u01a1ng \u1ee9ng c\u1ee7a y. V\u00ed d\u1ee5, khi x = 0, ta c\u00f3 y = 2*0 + 3 = 3. Khi x = 1, ta c\u00f3 y = 2*1 + 3 = 5. Khi x = -1, ta c\u00f3 y = 2*(-1) + 3 = 1. Ti\u1ebfp theo, ch\u00fang ta v\u1ebd c\u00e1c \u0111i\u1ec3m n\u00e0y l\u00ean h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 v\u00e0 n\u1ed1i ch\u00fang \u0111\u1ec3 c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh y = 2x + 3."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh sau: 2^x = 32"}, {"role": "assistant", "content": "\u0110\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh 2^x = 32, ta ph\u1ea3i chuy\u1ec3n c\u00e1c s\u1ed1 v\u1ec1 c\u00f9ng m\u1ed9t c\u01a1 s\u1edf. V\u00ec 2^5 = 32, n\u00ean ph\u01b0\u01a1ng tr\u00ecnh tr\u1edf th\u00e0nh x = 5."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Anh/Ch\u1ecb c\u00f3 th\u1ec3 gi\u00fap t\u00f4i gi\u1ea3i b\u00e0i to\u00e1n n\u00e0y kh\u00f4ng? B\u00e0i to\u00e1n nh\u01b0 sau: T\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 y = 2x^2 + 5x - 3 trong kho\u1ea3ng t\u1eeb x = -1 \u0111\u1ebfn x = 2."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 y = 2x^2 + 5x - 3, ta c\u1ea7n t\u00ecm nghi\u1ec7m c\u1ee7a \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 \u0111\u00f3. Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y, \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 \u0111\u00f3 l\u00e0 y' = 4x + 5. \u0110\u1ec3 t\u00ecm nghi\u1ec7m, ta gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh y' = 0, ta \u0111\u01b0\u1ee3c x = -5/4. Sau \u0111\u00f3 ki\u1ec3m tra gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 t\u1ea1i x = -1, x = 2 v\u00e0 x = -5/4 \u0111\u1ec3 t\u00ecm ra gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t. V\u1eady gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 l\u00e0 ..."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Em \u0111ang h\u1ecdc v\u1ec1 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t, c\u00f3 th\u1ec3 gi\u1edbi thi\u1ec7u m\u1ed9t v\u00ed d\u1ee5 c\u1ee5 th\u1ec3 \u0111\u01b0\u1ee3c kh\u00f4ng?"}, {"role": "assistant", "content": "D\u1ea1 ch\u1eafc ch\u1eafn. V\u00ed d\u1ee5, ta c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh x + 3 = 7. \u0110\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y, ta s\u1ebd tr\u1eeb 3 tr\u00ean c\u1ea3 hai b\u00ean, d\u1eabn \u0111\u1ebfn x = 4. V\u1eady x = 4 l\u00e0 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh. Ch\u1ecb c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00e1ch gi\u1ea3i n\u00e0y cho c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t kh\u00e1c."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh sau: (x + 3)/2 = 5"}, {"role": "assistant", "content": "\u0110\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y, ta nh\u00e2n c\u1ea3 hai b\u00ean c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh v\u1edbi 2, ta \u0111\u01b0\u1ee3c x + 3 = 10. Sau \u0111\u00f3 tr\u1eeb 3 \u1edf hai b\u00ean, ta c\u00f3 x = 7. V\u1eady n\u00ean gi\u00e1 tr\u1ecb c\u1ee7a x l\u00e0 7."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "Cho m\u1ed9t b\u00e0i to\u00e1n v\u1ec1 x\u00e1c su\u1ea5t \u0111\u1ec3 t\u00ednh to\u00e1n: N\u1ebfu trong m\u1ed9t tu\u1ea7n, x\u00e1c su\u1ea5t m\u01b0a v\u00e0o c\u00e1c ng\u00e0y th\u1ee9 Hai, th\u1ee9 Ba v\u00e0 th\u1ee9 T\u01b0 l\u1ea7n l\u01b0\u1ee3t l\u00e0 0.3, 0.4 v\u00e0 0.2, th\u00ec x\u00e1c su\u1ea5t it nh\u1ea5t m\u1ed9t ng\u00e0y n\u00e0o \u0111\u00f3 m\u01b0a trong tu\u1ea7n \u0111\u00f3 l\u00e0 bao nhi\u00eau?"}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh x\u00e1c su\u1ea5t it nh\u1ea5t m\u1ed9t ng\u00e0y n\u00e0o \u0111\u00f3 m\u01b0a trong tu\u1ea7n, ta s\u1ebd t\u00ednh x\u00e1c su\u1ea5t kh\u00f4ng m\u01b0a trong c\u00e1c ng\u00e0y th\u1ee9 Hai, th\u1ee9 Ba v\u00e0 th\u1ee9 T\u01b0, sau \u0111\u00f3 l\u1ea5y ng\u01b0\u1ee3c c\u1ee7a k\u1ebft qu\u1ea3 \u0111\u00f3. X\u00e1c su\u1ea5t kh\u00f4ng m\u01b0a tr\u00ean c\u00e1c ng\u00e0y n\u00e0y l\u1ea7n l\u01b0\u1ee3t l\u00e0 (1-0.3) * (1-0.4) * (1-0.2) = 0.36. V\u1eady x\u00e1c su\u1ea5t it nh\u1ea5t m\u1ed9t ng\u00e0y m\u01b0a trong tu\u1ea7n s\u1ebd l\u00e0 1 - 0.36 = 0.64."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "T\u00ednh di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c khi bi\u1ebft \u0111\u1ed9 d\u00e0i hai c\u1ea1nh v\u00e0 m\u1ed9t g\u00f3c gi\u1eefa ch\u00fang."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c khi bi\u1ebft \u0111\u1ed9 d\u00e0i hai c\u1ea1nh v\u00e0 m\u1ed9t g\u00f3c gi\u1eefa ch\u00fang, ch\u00fang ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c: Di\u1ec7n t\u00edch = 0.5 * c\u1ea1nh1 * c\u1ea1nh2 * sin(g\u00f3c). V\u1edbi c\u00e1c th\u00f4ng s\u1ed1 c\u1ee5 th\u1ec3, b\u1ea1n c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c n\u00e0y \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y gi\u1ea3i th\u00edch cho t\u00f4i v\u1ec1 b\u00e0i to\u00e1n trong h\u00ecnh hoc."}, {"role": "assistant", "content": "Ch\u1eafc ch\u1eafn! B\u1ea1n \u0111ang h\u1ecfi v\u1ec1 b\u00e0i to\u00e1n n\u00e0o trong h\u00ecnh h\u1ecdc c\u1ee5 th\u1ec3?"}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "H\u00e3y cung c\u1ea5p m\u1ed9t v\u00ed d\u1ee5 v\u1ec1 \u1ee9ng d\u1ee5ng c\u1ee7a t\u00edch ph\u00e2n trong th\u1ebf gi\u1edbi th\u1ef1c."}, {"role": "assistant", "content": "Gi\u1ea3 s\u1eed ch\u00fang ta c\u1ea7n t\u00ednh di\u1ec7n t\u00edch c\u1ee7a m\u1ed9t h\u1ed3 b\u01a1i h\u00ecnh ch\u1eef nh\u1eadt c\u00f3 chi\u1ec1u d\u00e0i 20m v\u00e0 chi\u1ec1u r\u1ed9ng 10m. \u0110\u1ec3 t\u00ednh di\u1ec7n t\u00edch n\u00e0y, ch\u00fang ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng t\u00edch ph\u00e2n b\u1eb1ng c\u00e1ch t\u00ednh t\u00edch ph\u00e2n k\u00e9p c\u1ee7a h\u00e0m 1 t\u1eeb 0 \u0111\u1ebfn 20 v\u00e0 t\u1eeb 0 \u0111\u1ebfn 10 \u0111\u1ec3 t\u00ecm di\u1ec7n t\u00edch h\u1ed3 b\u01a1i."}]} | |
| {"messages": [{"role": "system", "content": "You are a helpful AI math assistant. You help students with their questions and give anwers for them. You do not just give high level mathing advice, but instead, you tend to respond to math questions with specific math examples. Give answer in Vietnamese"}, {"role": "user", "content": "N\u1ebfu c\u00f3 m\u1ed9t b\u1ed9 b\u00e0i g\u1ed3m 52 l\u00e1, b\u1ea1n r\u00fat m\u1ed9t l\u00e1 ng\u1eabu nhi\u00ean. T\u00ednh x\u00e1c su\u1ea5t \u0111\u1ec3 b\u1ea1n r\u00fat \u0111\u01b0\u1ee3c m\u1ed9t l\u00e1 b\u00edch (spades)."}, {"role": "assistant", "content": "\u0110\u1ec3 t\u00ednh x\u00e1c su\u1ea5t r\u00fat \u0111\u01b0\u1ee3c m\u1ed9t l\u00e1 b\u00edch, ta xem x\u00e9t s\u1ed1 l\u00e1 b\u00edch tr\u00ean t\u1ed5ng s\u1ed1 l\u00e1. Trong b\u1ed9 b\u00e0i 52 l\u00e1, c\u00f3 t\u1ed5ng c\u1ed9ng 13 l\u00e1 b\u00edch. V\u1eady x\u00e1c su\u1ea5t \u0111\u1ec3 r\u00fat \u0111\u01b0\u1ee3c m\u1ed9t l\u00e1 b\u00edch l\u00e0 13/52 = 1/4."}]} | |