diff --git a/pretraining/mathematica/algebra/polynomial_quotient/10234.txt b/pretraining/mathematica/algebra/polynomial_quotient/10234.txt new file mode 100644 index 0000000000000000000000000000000000000000..2556d673241afd46ea0f4690f7aeec3500eb5940 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/10234.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-x^5-5 x^4+9 x^3-x^2+5 x-1$ when divided by $-9 x^2+4 x-8$. +Answer: +$\frac{x^3}{9}+\frac{49 x^2}{81}-\frac{605 x}{729}-\frac{5219}{6561}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/1072.txt b/pretraining/mathematica/algebra/polynomial_quotient/1072.txt new file mode 100644 index 0000000000000000000000000000000000000000..ed2171f72e16fbeb3104307ffba88fe39016b392 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/1072.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-2 x-9$ when divided by $5$. +Answer: +$-\frac{2 x}{5}-\frac{9}{5}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/10968.txt b/pretraining/mathematica/algebra/polynomial_quotient/10968.txt new file mode 100644 index 0000000000000000000000000000000000000000..5bfca66ca19f12532c6be3d045563446f89baeb0 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/10968.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $\frac{13 x^5}{2}-\frac{19 x^4}{2}-\frac{15 x^3}{2}+\frac{15 x^2}{2}-\frac{11 x}{2}-\frac{17}{2}$ when divided by $-\frac{17 x^4}{2}+8 x^3-4 x^2-2$. +Answer: +$\frac{115}{289}-\frac{13 x}{17}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/1229.txt b/pretraining/mathematica/algebra/polynomial_quotient/1229.txt new file mode 100644 index 0000000000000000000000000000000000000000..2e29a0f611c7b1b9595d0022c8abc532128c4c11 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/1229.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $8-5 x^2$ when divided by $-1$. +Answer: +$5 x^2-8$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/12572.txt b/pretraining/mathematica/algebra/polynomial_quotient/12572.txt new file mode 100644 index 0000000000000000000000000000000000000000..6de2336adf6eac49ca40191ee5623af800d132a9 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/12572.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-7 x^5+9 x^4-6 x^3+4 x^2-4 x-3$ when divided by $2 x^4+10 x^3-9 x^2-9 x+4$. +Answer: +$22-\frac{7 x}{2}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/13126.txt b/pretraining/mathematica/algebra/polynomial_quotient/13126.txt new file mode 100644 index 0000000000000000000000000000000000000000..301e09f75f0ac5eed773d2ddcec8c56da20f89a9 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/13126.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $2 x^4-\frac{19 x^3}{3}-\frac{4 x}{3}+\frac{4}{3}$ when divided by $-3 x^3-4 x^2+7 x-\frac{25}{3}$. +Answer: +$3-\frac{2 x}{3}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/13252.txt b/pretraining/mathematica/algebra/polynomial_quotient/13252.txt new file mode 100644 index 0000000000000000000000000000000000000000..82ae4194a1d4d68585e4d0a0403586a183945261 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/13252.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-6 x^5+x^4-3 x^3+x^2-5 x-\frac{5}{2}$ when divided by $8 x^4+\frac{9 x^3}{2}-\frac{9 x^2}{2}-9 x+4$. +Answer: +$\frac{35}{64}-\frac{3 x}{4}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/13409.txt b/pretraining/mathematica/algebra/polynomial_quotient/13409.txt new file mode 100644 index 0000000000000000000000000000000000000000..87f1fddb6f92e36395b5caa40995ea6646dfaabc --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/13409.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $\frac{3 x^2}{2}-4 x+1$ when divided by $\frac{9 x^2}{2}-\frac{19 x}{2}-7$. +Answer: +$\frac{1}{3}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/13646.txt b/pretraining/mathematica/algebra/polynomial_quotient/13646.txt new file mode 100644 index 0000000000000000000000000000000000000000..88f242b01e43cb5050fdbdaee50575335e2d38af --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/13646.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $x^4+3 x^3+8 x^2+x-2$ when divided by $8 x^5+2 x^4-3 x^3+5 x^2+7 x+7$. +Answer: +$0$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/13987.txt b/pretraining/mathematica/algebra/polynomial_quotient/13987.txt new file mode 100644 index 0000000000000000000000000000000000000000..a553584a54f1f077213e2eac60a37f2d8e943d03 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/13987.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-2 x^4+9 x^3+9 x^2-4 x-8$ when divided by $6 x^4-3 x^3+4 x^2+x-7$. +Answer: +$-\frac{1}{3}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/1425.txt b/pretraining/mathematica/algebra/polynomial_quotient/1425.txt new file mode 100644 index 0000000000000000000000000000000000000000..2a7ab86f7043c095ec34968d95e119573d28baf7 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/1425.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-10 x^3+2 x^2+\frac{5 x}{2}-5$ when divided by $-7 x^3-7 x^2-\frac{19 x}{2}-\frac{11}{2}$. +Answer: +$\frac{10}{7}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/14703.txt b/pretraining/mathematica/algebra/polynomial_quotient/14703.txt new file mode 100644 index 0000000000000000000000000000000000000000..df9a52a6ce51c06775de65f5345dc0ac6f8fd3b0 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/14703.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-x^6-x^5-6 x^4+8 x^3-2 x^2-8 x+5$ when divided by $-x^5+2 x^4+7 x^3-9 x^2+4 x+4$. +Answer: +$x+3$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/15090.txt b/pretraining/mathematica/algebra/polynomial_quotient/15090.txt new file mode 100644 index 0000000000000000000000000000000000000000..e4f4da55be135080a5d2541bb19cc94e3f96fc2a --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/15090.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $2 x^2-9 x+7$ when divided by $4 x+7$. +Answer: +$\frac{x}{2}-\frac{25}{8}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/16234.txt b/pretraining/mathematica/algebra/polynomial_quotient/16234.txt new file mode 100644 index 0000000000000000000000000000000000000000..0f3559582ba4a3c556fae1b73692e167cb3eec4e --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/16234.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $7$ when divided by $1$. +Answer: +$7$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/17325.txt b/pretraining/mathematica/algebra/polynomial_quotient/17325.txt new file mode 100644 index 0000000000000000000000000000000000000000..ad012772fd912f45dba207c35b289093c8be4aee --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/17325.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $5 x^6-10 x^5+5 x^4-3 x^3+\frac{19 x^2}{2}-\frac{5 x}{2}-8$ when divided by $-2 x^3-\frac{11 x^2}{2}-\frac{x}{2}+\frac{7}{2}$. +Answer: +$-\frac{5 x^3}{2}+\frac{95 x^2}{8}-\frac{1105 x}{32}+\frac{11407}{128}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/18262.txt b/pretraining/mathematica/algebra/polynomial_quotient/18262.txt new file mode 100644 index 0000000000000000000000000000000000000000..4565f728587c7fd8731c80e41bc6590a0f058357 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/18262.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $6 x^2-8 x-1$ when divided by $8-4 x$. +Answer: +$-\frac{3 x}{2}-1$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/18568.txt b/pretraining/mathematica/algebra/polynomial_quotient/18568.txt new file mode 100644 index 0000000000000000000000000000000000000000..9375b3bb0eff4cdc29c3f7d0463c11f94886d200 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/18568.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $4 x^5-2 x^4-10 x^3+7 x^2+8 x-3$ when divided by $5 x^5-6 x^4-8 x^3+x^2-2 x+4$. +Answer: +$\frac{4}{5}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/1886.txt b/pretraining/mathematica/algebra/polynomial_quotient/1886.txt new file mode 100644 index 0000000000000000000000000000000000000000..254e2ee195a87085bd2ae1732079056e1547b059 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/1886.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $3 x^3-2 x^2-9 x-4$ when divided by $-x^3-x^2-9 x+4$. +Answer: +$-3$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/19643.txt b/pretraining/mathematica/algebra/polynomial_quotient/19643.txt new file mode 100644 index 0000000000000000000000000000000000000000..fb45a39dcedcded3a930a7ae3c3cf198a65796a3 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/19643.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $10 x^3-4 x^2-10 x-2$ when divided by $-3 x^3-5 x^2+6 x+2$. +Answer: +$-\frac{10}{3}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/19839.txt b/pretraining/mathematica/algebra/polynomial_quotient/19839.txt new file mode 100644 index 0000000000000000000000000000000000000000..dfe0fb0b1e10e604282f3ddd275a0083ca42d4eb --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/19839.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $x^5+10 x^4+10 x^3+7 x^2+5 x-5$ when divided by $7 x^3-8 x^2-4 x-9$. +Answer: +$\frac{x^2}{7}+\frac{78 x}{49}+\frac{1142}{343}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/20101.txt b/pretraining/mathematica/algebra/polynomial_quotient/20101.txt new file mode 100644 index 0000000000000000000000000000000000000000..8d5b414beaa237574f37f6129607905c7e65f984 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/20101.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-\frac{14 x^6}{3}-\frac{26 x^5}{3}-\frac{16 x^4}{3}+\frac{8 x^3}{3}-\frac{2 x^2}{3}+\frac{29 x}{3}+\frac{1}{3}$ when divided by $\frac{14 x^2}{3}+x+3$. +Answer: +$-x^4-\frac{23 x^3}{14}-\frac{29 x^2}{196}+\frac{4553 x}{2744}-\frac{15493}{38416}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/2129.txt b/pretraining/mathematica/algebra/polynomial_quotient/2129.txt new file mode 100644 index 0000000000000000000000000000000000000000..c098d2d86a405f7aad860eed7775a0740601d7e2 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/2129.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $10 x^4-8 x^3+\frac{x^2}{2}+8 x+2$ when divided by $9 x^3-10 x^2+5 x-6$. +Answer: +$\frac{10 x}{9}+\frac{28}{81}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/21438.txt b/pretraining/mathematica/algebra/polynomial_quotient/21438.txt new file mode 100644 index 0000000000000000000000000000000000000000..eb5007b9fb4c52ad89424e74f87ac1eba0297d13 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/21438.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $3 x^3+x^2+7 x+9$ when divided by $5 x^2-7 x+1$. +Answer: +$\frac{3 x}{5}+\frac{26}{25}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/21644.txt b/pretraining/mathematica/algebra/polynomial_quotient/21644.txt new file mode 100644 index 0000000000000000000000000000000000000000..885bdeb542a917b396c807221ac346d00fb0dff2 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/21644.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-7 x^5+5 x^4+6 x^3+5 x^2$ when divided by $-9 x^5-8 x^4+10 x^3+9 x^2-10$. +Answer: +$\frac{7}{9}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/21818.txt b/pretraining/mathematica/algebra/polynomial_quotient/21818.txt new file mode 100644 index 0000000000000000000000000000000000000000..01414a178704aea8b65d581fe75e9158710266ff --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/21818.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $2 x^4+8 x^3+7 x^2+8 x$ when divided by $-7 x^4-10 x^3+7 x^2-x-1$. +Answer: +$-\frac{2}{7}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/21963.txt b/pretraining/mathematica/algebra/polynomial_quotient/21963.txt new file mode 100644 index 0000000000000000000000000000000000000000..c67808726db579e9ca9fa95bd704d4e35eb19b1c --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/21963.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-5 x^4+7 x^3+6 x^2+x$ when divided by $x^4+7 x^3-2 x^2-6 x$. +Answer: +$-5$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/2255.txt b/pretraining/mathematica/algebra/polynomial_quotient/2255.txt new file mode 100644 index 0000000000000000000000000000000000000000..1e63966c901570b33d2b5a7b7dad23ca218a8411 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/2255.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $10 x^4+\frac{25 x^3}{3}+10 x^2+\frac{16 x}{3}-7$ when divided by $-\frac{28}{3}$. +Answer: +$-\frac{15 x^4}{14}-\frac{25 x^3}{28}-\frac{15 x^2}{14}-\frac{4 x}{7}+\frac{3}{4}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/22553.txt b/pretraining/mathematica/algebra/polynomial_quotient/22553.txt new file mode 100644 index 0000000000000000000000000000000000000000..85e2d66a3b5eec1b351b5125798c285372555943 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/22553.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $5 x^4+x^2-6 x-3$ when divided by $-8 x^3+9 x^2+6 x+3$. +Answer: +$-\frac{5 x}{8}-\frac{45}{64}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/24477.txt b/pretraining/mathematica/algebra/polynomial_quotient/24477.txt new file mode 100644 index 0000000000000000000000000000000000000000..48a7a62008629c7fb6f1f66b3573b20b3d696856 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/24477.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $6 x^5+5 x^4+8 x^3+2 x^2-6 x+6$ when divided by $4 x^5-8 x^4-6 x^3+3 x^2+2 x+2$. +Answer: +$\frac{3}{2}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/24806.txt b/pretraining/mathematica/algebra/polynomial_quotient/24806.txt new file mode 100644 index 0000000000000000000000000000000000000000..b6f2bfa6e1b08307036546e9498738a33dd53c15 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/24806.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-3 x^3+2 x^2+x-3$ when divided by $9 x-7$. +Answer: +$-\frac{x^2}{3}-\frac{x}{27}+\frac{20}{243}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/24935.txt b/pretraining/mathematica/algebra/polynomial_quotient/24935.txt new file mode 100644 index 0000000000000000000000000000000000000000..829a6232cdf27d094c1836a21023c99e686c44fe --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/24935.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-6 x^5-7 x^4-4 x^3+9 x$ when divided by $10 x^2-5 x+2$. +Answer: +$-\frac{3 x^3}{5}-x^2-\frac{39 x}{50}-\frac{19}{100}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/25607.txt b/pretraining/mathematica/algebra/polynomial_quotient/25607.txt new file mode 100644 index 0000000000000000000000000000000000000000..150dbb6195aafa5e0ddfd87d962ba931c449751e --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/25607.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $9 x^4-3 x^3-5 x^2-3$ when divided by $4 x+2$. +Answer: +$\frac{9 x^3}{4}-\frac{15 x^2}{8}-\frac{5 x}{16}+\frac{5}{32}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/26779.txt b/pretraining/mathematica/algebra/polynomial_quotient/26779.txt new file mode 100644 index 0000000000000000000000000000000000000000..1b7d7be7a574916a22723810d843f72ddcbb346d --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/26779.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $9 x^2-7 x+6$ when divided by $-4 x^2+9 x-5$. +Answer: +$-\frac{9}{4}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/27263.txt b/pretraining/mathematica/algebra/polynomial_quotient/27263.txt new file mode 100644 index 0000000000000000000000000000000000000000..91d3341e69030af10b03c757bba340d2f49d413f --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/27263.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-9 x^6-4 x^5+7 x^4-10 x^3-9 x+3$ when divided by $-6 x^3-8 x^2-3 x+2$. +Answer: +$\frac{3 x^3}{2}-\frac{4 x^2}{3}-\frac{5 x}{36}+\frac{163}{54}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/28422.txt b/pretraining/mathematica/algebra/polynomial_quotient/28422.txt new file mode 100644 index 0000000000000000000000000000000000000000..bc1006dfa208c5d4cc62a5c88a941bd05afdfb73 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/28422.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $6 x^6+6 x^5-7 x^4+x^3-4 x^2+6 x-7$ when divided by $-4 x^5+2 x^4+5 x^3-4 x^2+x+7$. +Answer: +$-\frac{3 x}{2}-\frac{9}{4}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/29519.txt b/pretraining/mathematica/algebra/polynomial_quotient/29519.txt new file mode 100644 index 0000000000000000000000000000000000000000..650628c5150cc9bd18a18e89c5e29961c26426e0 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/29519.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $9 x^6+3 x^5-x^4-6 x^3-9 x^2-8 x+7$ when divided by $-5 x^5-9 x^4-9 x^3-4 x^2+3 x-3$. +Answer: +$\frac{66}{25}-\frac{9 x}{5}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/29890.txt b/pretraining/mathematica/algebra/polynomial_quotient/29890.txt new file mode 100644 index 0000000000000000000000000000000000000000..283bcfb2e9123d0b42d141b450fb21c131ecdfda --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/29890.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-5 x^6-8 x^5-\frac{3 x^4}{2}+2 x^3-5 x^2+4$ when divided by $-\frac{11 x^5}{2}-5 x^4+\frac{9 x^3}{2}+x^2+\frac{5 x}{2}+6$. +Answer: +$\frac{10 x}{11}+\frac{76}{121}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/30312.txt b/pretraining/mathematica/algebra/polynomial_quotient/30312.txt new file mode 100644 index 0000000000000000000000000000000000000000..750e08e65fcd8aeebc61647dabc7d306bc9af781 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/30312.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $7 x^4-3 x^3+9 x^2-6 x-8$ when divided by $-1$. +Answer: +$-7 x^4+3 x^3-9 x^2+6 x+8$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/30455.txt b/pretraining/mathematica/algebra/polynomial_quotient/30455.txt new file mode 100644 index 0000000000000000000000000000000000000000..90e50be0f1f97268b1d06a0e03838fdfb114fdad --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/30455.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $2 x^4-5 x^3-x^2-9 x-6$ when divided by $4 x^4-2 x^3+2 x^2-3 x+5$. +Answer: +$\frac{1}{2}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/31219.txt b/pretraining/mathematica/algebra/polynomial_quotient/31219.txt new file mode 100644 index 0000000000000000000000000000000000000000..a93fe8e2dfa08fb6b8c5b7d2414a54506e528504 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/31219.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $4 x^4-6 x^3+x^2-6 x-5$ when divided by $-7 x^2+5 x-7$. +Answer: +$-\frac{4 x^2}{7}+\frac{22 x}{49}+\frac{257}{343}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/31826.txt b/pretraining/mathematica/algebra/polynomial_quotient/31826.txt new file mode 100644 index 0000000000000000000000000000000000000000..4ca7f28f22f859b2dce7b01a2d07ceaaa7098e0e --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/31826.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-\frac{13 x^6}{2}+\frac{11 x^5}{2}-4 x^4+\frac{15 x^3}{2}-\frac{19 x^2}{2}+5 x+\frac{7}{2}$ when divided by $4 x^3+5 x^2+\frac{17 x}{2}-\frac{5}{2}$. +Answer: +$-\frac{13 x^3}{8}+\frac{109 x^2}{32}-\frac{231 x}{128}-\frac{2111}{512}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/32928.txt b/pretraining/mathematica/algebra/polynomial_quotient/32928.txt new file mode 100644 index 0000000000000000000000000000000000000000..5a5ac86904a5290ba1d748787b8289df2c126d8c --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/32928.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-9 x^5-2 x^4-5 x^3+6 x$ when divided by $3 x^5+x^4-x^3+9 x^2-7 x$. +Answer: +$-3$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/33566.txt b/pretraining/mathematica/algebra/polynomial_quotient/33566.txt new file mode 100644 index 0000000000000000000000000000000000000000..153b9f2e9f8f904fae54834dff57fc6fbf62a44c --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/33566.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $9 x^4-9 x^3-2 x^2+4 x+10$ when divided by $-4 x^3-9 x^2-8 x+3$. +Answer: +$\frac{117}{16}-\frac{9 x}{4}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/33680.txt b/pretraining/mathematica/algebra/polynomial_quotient/33680.txt new file mode 100644 index 0000000000000000000000000000000000000000..1343d3239a9788ad3cd5188b152562bf148cf184 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/33680.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $8 x^6-6 x^5+5 x^4-9 x^3+2 x^2-4 x+3$ when divided by $6 x^2-5 x-9$. +Answer: +$\frac{4 x^4}{3}+\frac{x^3}{9}+\frac{79 x^2}{27}+\frac{179 x}{162}+\frac{5485}{972}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/33974.txt b/pretraining/mathematica/algebra/polynomial_quotient/33974.txt new file mode 100644 index 0000000000000000000000000000000000000000..b9d68c40c062213814507ab4ede156abf684e5e6 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/33974.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $8 x^5+4 x^4+9 x^3+6 x^2+\frac{3 x}{2}-\frac{3}{2}$ when divided by $-\frac{x^5}{2}+\frac{3 x^4}{2}-\frac{x^3}{2}-\frac{5 x^2}{2}-\frac{5 x}{2}-5$. +Answer: +$-16$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/36194.txt b/pretraining/mathematica/algebra/polynomial_quotient/36194.txt new file mode 100644 index 0000000000000000000000000000000000000000..3d157f9b001d9eecd48d4a3898637df7f327dd4a --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/36194.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $9 x^6-\frac{28 x^5}{3}-\frac{10 x^4}{3}-7 x^3+\frac{22 x^2}{3}-\frac{4 x}{3}+\frac{17}{3}$ when divided by $-\frac{25 x^5}{3}-\frac{22 x^4}{3}+\frac{13 x^3}{3}-\frac{19 x^2}{3}-\frac{7 x}{3}-6$. +Answer: +$\frac{1294}{625}-\frac{27 x}{25}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/36940.txt b/pretraining/mathematica/algebra/polynomial_quotient/36940.txt new file mode 100644 index 0000000000000000000000000000000000000000..895c39679ecf8bfcd69a7ef1c22058abfa210bd7 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/36940.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-x^4+6 x^3-8 x^2-7 x+8$ when divided by $2 x^4+2 x^3-8 x^2+2 x-3$. +Answer: +$-\frac{1}{2}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/37672.txt b/pretraining/mathematica/algebra/polynomial_quotient/37672.txt new file mode 100644 index 0000000000000000000000000000000000000000..8183442209eaa734e2ef1d050756564eb83683cd --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/37672.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-9 x^5+x^4+8 x^3+5 x^2-4 x+1$ when divided by $-3 x^5-6 x^4+6 x^2+7 x-9$. +Answer: +$3$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/37808.txt b/pretraining/mathematica/algebra/polynomial_quotient/37808.txt new file mode 100644 index 0000000000000000000000000000000000000000..3ab97e0de30852503a9fe94e3d7ec9ae12b49725 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/37808.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-9 x^5-2 x^4-8 x^3-x^2+8 x-5$ when divided by $8 x^5+5 x^4+7 x^3+6 x^2+5 x+3$. +Answer: +$-\frac{9}{8}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/38789.txt b/pretraining/mathematica/algebra/polynomial_quotient/38789.txt new file mode 100644 index 0000000000000000000000000000000000000000..a8d2958414c977510a995186a016654045973780 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/38789.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $3 x^5+9 x^4+4 x^3+9 x^2-5$ when divided by $-9 x^5+2 x^4-7 x^3+5 x^2+8 x+9$. +Answer: +$-\frac{1}{3}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/39069.txt b/pretraining/mathematica/algebra/polynomial_quotient/39069.txt new file mode 100644 index 0000000000000000000000000000000000000000..ed9ecc3b656502c75bab15731e294c19b2ac3658 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/39069.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $x^3-6 x-10$ when divided by $-8 x^3-7 x^2+x$. +Answer: +$-\frac{1}{8}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/40464.txt b/pretraining/mathematica/algebra/polynomial_quotient/40464.txt new file mode 100644 index 0000000000000000000000000000000000000000..c3362f42ab108453ab2213cd19c8597f3b5cb515 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/40464.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-8 x^3-6 x^2+6 x+10$ when divided by $-3 x^4-7 x^3+3 x^2+7 x-5$. +Answer: +$0$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/40698.txt b/pretraining/mathematica/algebra/polynomial_quotient/40698.txt new file mode 100644 index 0000000000000000000000000000000000000000..83ee55aba867ee8757a01c34b42ca793bd2fc4e6 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/40698.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $4 x^5+2 x^4-x^3-10 x^2+2 x-5$ when divided by $9 x+2$. +Answer: +$\frac{4 x^4}{9}+\frac{10 x^3}{81}-\frac{101 x^2}{729}-\frac{7088 x}{6561}+\frac{27298}{59049}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/41104.txt b/pretraining/mathematica/algebra/polynomial_quotient/41104.txt new file mode 100644 index 0000000000000000000000000000000000000000..3fcc5085f0a2e70d56f9c06c828af21252d82018 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/41104.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $\frac{29 x^6}{5}-\frac{31 x^5}{5}-x^4-\frac{14 x^3}{5}+8 x^2-\frac{27 x}{5}-\frac{21}{5}$ when divided by $\frac{6 x^2}{5}-x+2$. +Answer: +$\frac{29 x^4}{6}-\frac{41 x^3}{36}-\frac{2125 x^2}{216}-\frac{11189 x}{1296}+\frac{123395}{7776}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/41388.txt b/pretraining/mathematica/algebra/polynomial_quotient/41388.txt new file mode 100644 index 0000000000000000000000000000000000000000..fec00ae34da288641ece8805867c04f825828a6c --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/41388.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $7 x^3-8 x^2-x+4$ when divided by $9 x-5$. +Answer: +$\frac{7 x^2}{9}-\frac{37 x}{81}-\frac{266}{729}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/41582.txt b/pretraining/mathematica/algebra/polynomial_quotient/41582.txt new file mode 100644 index 0000000000000000000000000000000000000000..9cd4770b4b2c9d69d2fce34919fff3dbcbfd78db --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/41582.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $5 x^5-5 x^3-x^2+3 x+2$ when divided by $10 x^5-10 x^4+8 x^3+3 x^2+2 x-6$. +Answer: +$\frac{1}{2}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/41983.txt b/pretraining/mathematica/algebra/polynomial_quotient/41983.txt new file mode 100644 index 0000000000000000000000000000000000000000..2edd7ce42afd4003900cc0ce567d441b67c618bc --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/41983.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $3 x^4+9 x^3+10 x^2+6 x-8$ when divided by $7-9 x$. +Answer: +$-\frac{x^3}{3}-\frac{34 x^2}{27}-\frac{508 x}{243}-\frac{5014}{2187}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/42729.txt b/pretraining/mathematica/algebra/polynomial_quotient/42729.txt new file mode 100644 index 0000000000000000000000000000000000000000..308a235efc87db8088bff285db71691e83dde23a --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/42729.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $4 x^3-8 x^2-9 x+6$ when divided by $4 x^3+x^2-4 x+6$. +Answer: +$1$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/44526.txt b/pretraining/mathematica/algebra/polynomial_quotient/44526.txt new file mode 100644 index 0000000000000000000000000000000000000000..a2b720e63dee35374aace3a70153dfc874f7625c --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/44526.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-10 x^6-7 x^5+8 x^4-8 x^3+8 x^2-2 x-2$ when divided by $-2 x^5-2 x^4+4 x^3-6 x^2-x-9$. +Answer: +$5 x-\frac{3}{2}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/44534.txt b/pretraining/mathematica/algebra/polynomial_quotient/44534.txt new file mode 100644 index 0000000000000000000000000000000000000000..2e9c10e2902ba81fbbdd4dc9f741ef31d8d20d77 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/44534.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $x^6+5 x^5-x^4-9 x^3+6 x^2+3 x-6$ when divided by $8 x+8$. +Answer: +$\frac{x^5}{8}+\frac{x^4}{2}-\frac{5 x^3}{8}-\frac{x^2}{2}+\frac{5 x}{4}-\frac{7}{8}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/44757.txt b/pretraining/mathematica/algebra/polynomial_quotient/44757.txt new file mode 100644 index 0000000000000000000000000000000000000000..df08b947d08b1841c04cdb0005b5a0fd944978a9 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/44757.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $9 x^6-4 x^5+7 x^3-7 x^2-6 x-3$ when divided by $4 x^4+5 x^3-7 x^2+2 x-5$. +Answer: +$\frac{9 x^2}{4}-\frac{61 x}{16}+\frac{557}{64}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/44887.txt b/pretraining/mathematica/algebra/polynomial_quotient/44887.txt new file mode 100644 index 0000000000000000000000000000000000000000..fae1613f611e860e2bcfc73d0e498c75ff45aa6f --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/44887.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-\frac{10 x}{3}-4$ when divided by $\frac{4 x}{3}+\frac{25}{3}$. +Answer: +$-\frac{5}{2}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/44971.txt b/pretraining/mathematica/algebra/polynomial_quotient/44971.txt new file mode 100644 index 0000000000000000000000000000000000000000..247d31dd15875f8ae78628751bac10a0d5c592b1 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/44971.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $8 x^6+10 x^5+4 x^4-x^3+3 x^2-3 x+7$ when divided by $2 x^3+2 x^2+1$. +Answer: +$4 x^3+x^2+x-\frac{7}{2}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/45787.txt b/pretraining/mathematica/algebra/polynomial_quotient/45787.txt new file mode 100644 index 0000000000000000000000000000000000000000..7817f12110f595d4b2b43ad899e57bfb05b012d5 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/45787.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $5 x^6-9 x^5-9 x^4+4 x^3-8 x^2+6 x+9$ when divided by $1$. +Answer: +$5 x^6-9 x^5-9 x^4+4 x^3-8 x^2+6 x+9$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/47951.txt b/pretraining/mathematica/algebra/polynomial_quotient/47951.txt new file mode 100644 index 0000000000000000000000000000000000000000..e9ac70b25e210da992eb8a1ceeb0d7ecc31248f4 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/47951.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $7 x^6-6 x^5-3 x^4-9 x^3+4 x^2-x+8$ when divided by $-4 x$. +Answer: +$-\frac{7 x^5}{4}+\frac{3 x^4}{2}+\frac{3 x^3}{4}+\frac{9 x^2}{4}-x+\frac{1}{4}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/48201.txt b/pretraining/mathematica/algebra/polynomial_quotient/48201.txt new file mode 100644 index 0000000000000000000000000000000000000000..9bed63da1ce81a7b9ed5c4c2772b9ec9eaa36ac0 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/48201.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $x^5+10 x^4+x^3-8 x^2-9 x-1$ when divided by $-8 x^2-6 x+9$. +Answer: +$-\frac{x^3}{8}-\frac{37 x^2}{32}+\frac{77 x}{128}-\frac{385}{512}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/48468.txt b/pretraining/mathematica/algebra/polynomial_quotient/48468.txt new file mode 100644 index 0000000000000000000000000000000000000000..972abd40fb07d04be718f582d09a8643b956f42c --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/48468.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-8 x^6-5 x^5-x^4+9 x^3+4 x-4$ when divided by $-4 x^3-4 x^2-7 x-4$. +Answer: +$2 x^3-\frac{3 x^2}{4}-\frac{5 x}{2}-\frac{7}{16}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/5139.txt b/pretraining/mathematica/algebra/polynomial_quotient/5139.txt new file mode 100644 index 0000000000000000000000000000000000000000..6a943e83cc6338fbcb100e106a8a3f9c67465007 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/5139.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $6 x^4+10 x^3-9 x^2-3 x+6$ when divided by $x^4-4 x^3-2 x^2+4 x$. +Answer: +$6$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/56.txt b/pretraining/mathematica/algebra/polynomial_quotient/56.txt new file mode 100644 index 0000000000000000000000000000000000000000..1919a964b301ad95ab65512f144be8991a26f658 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/56.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $8 x^5-4 x^4-x^3+6 x+6$ when divided by $-8 x-2$. +Answer: +$-x^4+\frac{3 x^3}{4}-\frac{x^2}{16}+\frac{x}{64}-\frac{193}{256}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/7044.txt b/pretraining/mathematica/algebra/polynomial_quotient/7044.txt new file mode 100644 index 0000000000000000000000000000000000000000..ba65492b1ba5616a460620ca8076f74c15609e3d --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/7044.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $x^5+6 x^4-2 x^3+4 x^2-x-7$ when divided by $6$. +Answer: +$\frac{x^5}{6}+x^4-\frac{x^3}{3}+\frac{2 x^2}{3}-\frac{x}{6}-\frac{7}{6}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/7448.txt b/pretraining/mathematica/algebra/polynomial_quotient/7448.txt new file mode 100644 index 0000000000000000000000000000000000000000..70eb304ce277d593617a47585bfabca079067aa8 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/7448.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-2 x^3-10 x^2+x+1$ when divided by $-8 x^2-1$. +Answer: +$\frac{x}{4}+\frac{5}{4}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/7764.txt b/pretraining/mathematica/algebra/polynomial_quotient/7764.txt new file mode 100644 index 0000000000000000000000000000000000000000..e8b321339c6ea7bf463d4c849c9462d3a8db2aac --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/7764.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $4 x^2-2 x-2$ when divided by $-6 x^2+2 x+1$. +Answer: +$-\frac{2}{3}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/8562.txt b/pretraining/mathematica/algebra/polynomial_quotient/8562.txt new file mode 100644 index 0000000000000000000000000000000000000000..2890042354bf9edf8d7fe71477e082faf5702cd3 --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/8562.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $-5 x^3-9 x^2+4 x-8$ when divided by $9 x^3-6 x^2+3 x-6$. +Answer: +$-\frac{5}{9}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/9458.txt b/pretraining/mathematica/algebra/polynomial_quotient/9458.txt new file mode 100644 index 0000000000000000000000000000000000000000..b527b555eb02a8f41a61d2a0c1d83d10f884493f --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/9458.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $5 x^5+9 x^3+8 x+3$ when divided by $2 x^5+8 x^4+10 x^2+6 x-4$. +Answer: +$\frac{5}{2}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/polynomial_quotient/9834.txt b/pretraining/mathematica/algebra/polynomial_quotient/9834.txt new file mode 100644 index 0000000000000000000000000000000000000000..87c47cbce9973ddf7268c3e5f2f40f98c0a260ce --- /dev/null +++ b/pretraining/mathematica/algebra/polynomial_quotient/9834.txt @@ -0,0 +1,4 @@ +Problem: +Find the quotient of $3 x^5+x^4+5 x^3-4 x^2-7 x-7$ when divided by $5 x^3-2 x^2+2 x-9$. +Answer: +$\frac{3 x^2}{5}+\frac{11 x}{25}+\frac{117}{125}$ \ No newline at end of file