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college_math.Beginning_and_Intermediate_Algebra | exercise.8.7.7 | Reduce the following radical: $\sqrt[12]{x^{6} y^{9}}$ | $\sqrt[4]{x^{2} y^{3}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \sqrt[4]{x^{2} y^{3}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.4.40 | Add or subtract the rational expressions and simplify: $\frac{2 r}{r^{2}-s^{2}}+\frac{1}{r+s}-\frac{1}{r-s}$ | $\frac{2}{r+s}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{2}{r+s} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.6.8 | Solve the absolute value equation: $|3-x|=6$ | $-3,9$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -3,9 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.82 | Simplify: $\left(3-7 n^{2}\right)+\left(6 n^{2}+3\right)$ | $-n^{2}+6$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -n^{2}+6 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.4.7 | Add or subtract the rational expressions and simplify: $\frac{5}{6 r}-\frac{5}{8 r}$ | $\frac{5}{24 r}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{5}{24 r} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.10.4 | A dealer bought a number of sheep for $\$ 440$. After 5 had died he sold the remainder at a profit of $\mathbb{\$} 2$ each making a profit of $\mathbb{\$} 60$ for the sheep. How many sheep did he originally purchase? | 55 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 55 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.7.33 | Combine the following radicals: $\sqrt[3]{3 x y^{2} z} \sqrt[4]{9 x^{3} y z^{2}}$ | $x \sqrt[12]{59049 x y^{11} z^{10}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x \sqrt[12]{59049 x y^{11} z^{10}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.6.33 | Solve the following equation: $(x-3)^{2}-2(x-3)=35$ | $-2,10$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -2,10 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.6.17 | Solve the proportion: $\frac{v-5}{v+6}=\frac{4}{9}$ | $v=\frac{69}{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | v=\frac{69}{5} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.6.40 | Find the product: $(3 a-8)(3 a+8)$ | $9 a^{2}-64$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 9 a^{2}-64 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.2.22 | Simplify: $4 \sqrt[3]{250 a^{6}}$ | $20 a^{2} \sqrt[3]{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 20 a^{2} \sqrt[3]{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.2.5.5 | Find the slope of a line parallel to the given line: $x-y=4$ | 1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.6.10 | You lend out $\$ 5500$ at $10 \%$ compounded monthly. If the debt is repaid in 18 months, what is the total owed at the time of repayment? | 6386.12 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 6386.12 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.1.33 | Simplify: $\frac{9 v+54}{v^{2}-4 v-60}$ | $\frac{9}{v-10}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{9}{v-10} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.6.18 | Find the square: $(v+4)^{2}$ | $v^{2}+8 v+16$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | v^{2}+8 v+16 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.7.11 | Divide: $\frac{n^{2}+13 n+32}{n+5}$ | $n+8-\frac{8}{n+5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | n+8-\frac{8}{n+5} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.67 | Evaluate the expression: $\left(-\frac{1}{2}\right)+\frac{3}{2}$ | 1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.16 | Simplify the expression: $\frac{1}{a-6} \cdot \frac{8 a+80}{8}$ | $\frac{a+10}{a-6}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{a+10}{a-6} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.2.8 | Solve: $(5 x+1)^{4}=16$ | $\frac{1}{5},-\frac{3}{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{1}{5},-\frac{3}{5} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.3 | Find the value that completes the square and then rewrite as a perfect square: $m^{2}-36 m+$ | $324 ;(m-18)^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 324 ;(m-18)^{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.4.17 | Solve the equation: $\frac{16}{9}=-\frac{4}{3}\left(-\frac{4}{3} n-\frac{4}{3}\right)$ | 0 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.2.5.1 | Find the slope of a line parallel to the given line: $y=2 x+4$ | 2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2 |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.3.1 | Solve the following system of equations by elimination:
$4 x+2 y=0$
$-4 x-9 y=-28$ | $(-2,4)$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | (-2,4) |
college_math.Beginning_and_Intermediate_Algebra | exercise.3.2.23 | Solve the compound inequality and give interval notation: $-5 b+10 \leqslant 30$ and $7 b+2 \leqslant-40$ | No solution : $\oslash$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | No solution : $\oslash |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.3.23 | Simplify: $3 \sqrt{24}-3 \sqrt{27}+2 \sqrt{6}+2 \sqrt{8}$ | $8 \sqrt{6}-9 \sqrt{3}+4 \sqrt{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 8 \sqrt{6}-9 \sqrt{3}+4 \sqrt{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.4.24 | Simplify: $\frac{\sqrt{12}}{\sqrt{3}}$ | 2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.3.33 | Simplify: $2 \sqrt[4]{2}+2 \sqrt[4]{3}+3 \sqrt[4]{64}-\sqrt[4]{3}$ | $2 \sqrt[4]{2}+\sqrt[4]{3}+6 \sqrt[4]{4}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2 \sqrt[4]{2}+\sqrt[4]{3}+6 \sqrt[4]{4} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.21 | Simplify: $\frac{3 n m^{2}}{3 n}$ | $m^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | m^{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.9 | Simplify the expression: $\frac{7 r}{7 r(r+10)} \div \frac{r-6}{(r-6)^{2}}$ | $\frac{r-6}{r+10}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{r-6}{r+10} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.10 | Solve each equation by completing the square: $n^{2}-8 n-12=0$ | $4+2 \sqrt{7}, 4-2 \sqrt{7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 4+2 \sqrt{7}, 4-2 \sqrt{7} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.66 | Simplify: $9(6 b+5)-4 b(b+3)$ | $-42 b-45-4 b^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -42 b-45-4 b^{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.2.15 | Solve: $(2 x-3)^{\frac{2}{3}}=4$ | $\frac{11}{2},-\frac{5}{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{11}{2},-\frac{5}{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.3.3 | Solve: $3+(8) \div|4|$ | 5 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 5 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.18 | Simplify and leave your answer as an improper fraction: $\frac{126}{108}$ | $\frac{7}{6}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{7}{6} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.6.5 | Solve the absolute value equation: $|5+8 a|=53$ | $6,-\frac{29}{4}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 6,-\frac{29}{4} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.7.45 | Simplify the following expression: $\frac{\sqrt[3]{(2 x+1)^{2}}}{\sqrt[5]{(2 x+1)^{2}}}$ | $\sqrt[15]{(2 x+1)^{4}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \sqrt[15]{(2 x+1)^{4}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.6.27 | Simplify and express with positive exponents: $\left(\frac{m^{\frac{3}{2}} n^{-2}}{\left(m n^{\frac{4}{3}}\right)^{-1}}\right)^{\frac{7}{4}}$ | $\frac{m^{\frac{35}{8}}}{n^{\frac{7}{6}}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{m^{\frac{35}{8}}}{n^{\frac{7}{6}}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.30 | Simplify: $\frac{2 b a^{7} \cdot 2 b^{4}}{b a^{2} \cdot 3 a^{3} b^{4}}$ | $\frac{4 a^{2}}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{4 a^{2}}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.8.3 | Convert $11.2 \mathrm{mg}$ to grams. | $0.0112 \mathrm{~g}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 0.0112 \mathrm{~g} |
college_math.Beginning_and_Intermediate_Algebra | exercise.3.2.32 | Solve the compound inequality and give interval notation: $-9 m+2<-10-6 m$ or $-m+5 \geqslant 10+4 m$ | $m>4$ or $m \leqslant-1:(-\infty,-1] \cup(4, \infty)$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | m>4$ or $m \leqslant-1:(-\infty,-1] \cup(4, \infty) |
college_math.Beginning_and_Intermediate_Algebra | exercise.3.2.1 | Solve the compound inequality and give interval notation: $\frac{n}{3} \leqslant-3$ or $-5 n \leqslant-10$ | $n \leqslant-9$ or $n \geqslant 2:(-\infty,-9] \cup[2, \infty)$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | n \leqslant-9$ or $n \geqslant 2:(-\infty,-9] \cup[2, \infty) |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.5.2 | Find a quadratic equation with the solutions 3 and 6. | $x^{2}-9 x+18=0$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x^{2}-9 x+18=0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.1.24 | Solve the equation: $m-4=-13$ | -9 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -9 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.5 | Evaluate using the given values: $c^{2}-(a-1)$; $a=3$ and $c=5$ | 23 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 23 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.30 | Solve: $5 x^{2}=-26+10 x$ | $\frac{5+i \sqrt{105}}{5}, \frac{5-i \sqrt{105}}{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{5+i \sqrt{105}}{5}, \frac{5-i \sqrt{105}}{5} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.7.21 | Hooke's law states that the distance that a spring is stretched by hanging object varies directly as the mass of the object. If the distance is $20 \mathrm{~cm}$ when the mass is $3 \mathrm{~kg}$, what is the distance when the mass is $5 \mathrm{~kg}$ ? | $33.3 \mathrm{~cm}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 33.3 \mathrm{~cm} |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.6.12 | How many kilograms of soil supplement that costs $\$ 7.00$ per kilogram must be mixed with $20 \mathrm{~kg}$ of aluminum nitrate that costs $\$ 3.50$ per kilogram to make a fertilizer that costs $\$ 4.50$ per kilogram? | 8 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 8 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.29 | Solve: $-a-5(8 a-1)=39-7 a$ | -1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.8.22 | Let the first angle of a triangle be $x$ degrees. Find the measures of the second and third angles. | $28,84,68$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 28,84,68 |
college_math.Beginning_and_Intermediate_Algebra | exercise.2.2.34 | Given the points $(-2,y)$ and $(2,4)$ and a slope of $\frac{1}{4}$, find the value of $y$. | 3 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 3 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.76 | Evaluate the expression: $(-1)-\left(-\frac{1}{3}\right)$ | $-\frac{2}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{2}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.3.25 | Simplify: $-2 \sqrt[3]{16}+2 \sqrt[3]{16}+2 \sqrt[3]{2}$ | $2 \sqrt[3]{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2 \sqrt[3]{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.24 | Simplify the expression: $\frac{2 n^{2}-12 n-54}{n+7} \div(2 n+6)$ | $\frac{n-9}{n+7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{n-9}{n+7} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.5.38 | Find the product: $5(2 x-1)(4 x+1)$ | $40 x^{2}-10 x-5$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 40 x^{2}-10 x-5 |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.6.9 | $\$ 1750$ is invested in an account earning $13.5 \%$ interest compounded monthly for a 2 year period. What is the balance at the end of 9 years? | 2288.98 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2288.98 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.2.18 | Solve the equation: $-8+\frac{n}{12}=-7$ | 12 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 12 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.8.52 | Evaluate the expression: $i^{251}$ | $-i$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -i |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.20 | Solve each equation by completing the square: $m^{2}-8 m-3=6$ | $9,-1$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 9,-1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.75 | Evaluate the expression: $\frac{3}{2}-\frac{15}{8}$ | $-\frac{3}{8}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{3}{8} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.5.32 | Solve the equation: $\log _{2}-8 r=1$ | $-\frac{1}{4}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{1}{4} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.28 | Solve: $-8 n-19=-2(8 n-3)+3 n$ | 5 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 5 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.9.18 | A pitcher is 30 years old, and a vase is 22 years old. How many years ago was the pitcher twice as old as the vase? | 14 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 14 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.35 | Find product: $(-4)(-2)$ | 8 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 8 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.8.4 | Simplify: $5+(-6-6 i)$ | $-1-6 i$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -1-6 i |
college_math.Beginning_and_Intermediate_Algebra | exercise.2.2.38 | Given the points $(2,-5)$ and $(3, y)$ and a slope of 6, find the value of $y$. | 1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.34 | Simplify: $\frac{y x^{2} \cdot\left(y^{4}\right)^{2}}{2 y^{4}}$ | $\frac{y^{5} x^{2}}{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{y^{5} x^{2}}{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.5.9 | Solve: $\frac{\frac{3}{2 a-3}+2}{\frac{-6}{2 a-3}-4}$ | $-\frac{1}{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{1}{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.5.18 | Find a quadratic equation with the solutions $\frac{5}{3}$ and $-\frac{1}{2}$. | $6 x^{2}-7 x-5=0$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 6 x^{2}-7 x-5=0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.1.22 | Simplify: $-2 \sqrt{128 n}$ | $-16 \sqrt{2 n}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -16 \sqrt{2 n} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.40 | Find quotient: $-2 \div \frac{-3}{2}$ | $\frac{4}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{4}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.7.6 | Reduce the following radical: $\sqrt[15]{x^{9} y^{12} z^{6}}$ | $\sqrt[5]{x^{3} y^{4} z^{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \sqrt[5]{x^{3} y^{4} z^{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.3.21 | Build up each fraction by finding the Least Common Denominator: $\frac{3 a}{5 b^{2}}, \frac{2}{10 a^{3} b}$ | $\frac{6 a^{4}}{10 a^{3} b^{2}}, \frac{2 b}{10 a^{3} b^{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{6 a^{4}}{10 a^{3} b^{2}}, \frac{2 b}{10 a^{3} b^{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.5.1 | Solve: $\frac{1+\frac{1}{x}}{1-\frac{1}{x^{2}}}$ | $\frac{x}{x-1}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{x}{x-1} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.1.21 | Simplify: $-7 \sqrt{64 x^{4}}$ | $-56 x^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -56 x^{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.4.7 | Simplify the expression $x^{2}+9 x+23$ when $x=-3$. | 5 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 5 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.2.36 | Simplify. Your answer should contain only positive expontents: $\left(\frac{\left(2 x^{-3} y^{0} z^{-1}\right)^{3} \cdot x^{-3} y^{2}}{2 x^{3}}\right)^{-2}$ | $\frac{x^{30} z^{6}}{16 y^{4}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{x^{30} z^{6}}{16 y^{4}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.5.21 | Evaluate the expression: $\log _{2} 64$ | 6 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 6 |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.7.3 | Find the value: $\sin 75^{\circ}$ | 0.9659 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 0.9659 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.1.12 | Solve: $\sqrt{7 x+2}-\sqrt{3 x+6}=6$ | 46 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 46 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.6.34 | Simplify and express with positive exponents: $\left(\frac{y^{\frac{1}{3}} y^{-2}}{\left(x^{\frac{5}{3}} y^{3}\right)^{-\frac{3}{2}}}\right)^{\frac{3}{2}}$ | $x^{\frac{15}{4}} y^{\frac{17}{4}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x^{\frac{15}{4}} y^{\frac{17}{4}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.7.28 | Solve the equation for $x$: $\frac{x}{x+1}-\frac{3}{x+3}=\frac{-2 x^{2}}{x^{2}+4 x+3}$ | 1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.37 | Distribute: $-8(x-4)$ | $-8 x+32$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -8 x+32 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.8.51 | Evaluate the expression: $i^{73}$ | $i$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | i |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.52 | Distribute: $2 x(8 x-10)$ | $16 x^{2}-20 x$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 16 x^{2}-20 x |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.4 | Simplify the expression: $\frac{9 m}{5 m^{2}} \cdot \frac{7}{2}$ | $\frac{63}{10 m}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{63}{10 m} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.8.30 | Evaluate the expression: $\frac{-4+2 i}{3 i}$ | $\frac{4 i+2}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{4 i+2}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.1.8 | Specify the domain of the function: $f(x)=\frac{-2}{x^{2}-3 x-4}$ | $x \neq-1,4$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x \neq-1,4 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.5.13 | Find the product: $(3 v-4)(5 v-2)$ | $15 v^{2}-26 v+8$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 15 v^{2}-26 v+8 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.7.9 | Solve the equation for $m$: $\frac{3 m}{2 m-5}-\frac{7}{3 m+1}=\frac{3}{2}$ | -5 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -5 |
college_math.Beginning_and_Intermediate_Algebra | exercise.2.2.26 | Find the slope of the line through the points $(11,-2)$ and $(1,17)$. | $-\frac{19}{10}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{19}{10} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.10.21 | A motorboat leaves a harbor and travels at an average speed of $18 \mathrm{mph}$ to an island. The average speed on the return trip was $12 \mathrm{mph}$. How far was the island from the harbor if the total trip took $5 \mathrm{~h}$? | 36 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 36 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.6.19 | Find the square: $(x-8)^{2}$ | $x^{2}-16 x+64$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x^{2}-16 x+64 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.31 | Simplify the expression: $\frac{x^{2}-12 x+32}{x^{2}-6 x-16} \cdot \frac{7 x^{2}+14 x}{7 x^{2}+21 x}$ | $\frac{x-4}{x+3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{x-4}{x+3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.6.7 | A thousand dollars is left in a bank savings account drawing $7 \%$ interest, compounded quarterly for 10 years. What is the balance at the end of that time? | 2001.60 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2001.60 |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.1.7 | Specify the domain of the function: $f(x)=\sqrt{x-16}$ | $x \geqslant 16$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x \geqslant 16 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.7.24 | Solve the equation for $x$: $\frac{x}{x+3}-\frac{4}{x-2}=\frac{-5 x^{2}}{x^{2}+x-6}$ | -1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.6.6 | Find the principal that will amount to $\$ 1750$ if invested at $3 \%$ interest compounded quarterly for 5 years. | 1507.08 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 1507.08 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.4.24 | Add or subtract the rational expressions and simplify: $\frac{3 a}{4 a-20}+\frac{9 a}{6 a-30}$ | $\frac{9 a}{4(a-5)}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{9 a}{4(a-5)} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.2.18 | Solve: $(x-1)^{-\frac{5}{3}}=32$ | $\frac{9}{8}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{9}{8} |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.3.24 | Solve the following system of equations by elimination:
$3 x+7 y=-8$
$4 x+6 y=-4$ | $(2,-2)$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | (2,-2) |
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