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college_math.Beginning_and_Intermediate_Algebra | exercise.1.2.12 | Solve the equation: $-6=15+3 p$ | -7 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -7 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.1.5 | Evaluate $\frac{b+2}{b^{2}+4 b+4}$ when $b=0$ | $\frac{1}{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{1}{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.1.4 | Solve the equation: $-14=x-18$ | 4 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 4 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.21 | Solve: $-2-5(2-4 m)=33+5 m$ | 3 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 3 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.16 | Evaluate the expression: $(-1)-8$ | -9 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -9 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.8.15 | Find the square of $-7 i$ | -49 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -49 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.8.19 | A sink has two faucets, one for hot water and one for cold water. The sink can be filled by a cold-water faucet in 3.5 minutes. If both faucets are open, the sink is filled in 2.1 minutes. How long does it take to fill the sink with just the hot-water faucet open? | $5 \frac{1}{4} \mathrm{~min}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 5 \frac{1}{4} \mathrm{~min} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.1.24 | Simplify: $8 \sqrt{112 p^{2}}$ | $32 p \sqrt{7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 32 p \sqrt{7} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.53 | Evaluate the expression: $\frac{1}{3}+\left(-\frac{4}{3}\right)$ | -1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.21 | Combine Like Terms: $r-9+10$ | $r+1$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | r+1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.2.26 | Simplify: $\sqrt[3]{64 u^{5} v^{3}}$ | $4 u v \sqrt[3]{u^{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 4 u v \sqrt[3]{u^{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.6.15 | You lend $\$ 100$ at $10 \%$ continuous interest. If you are repaid 2 months later, what is owed? | 101.68 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 101.68 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.6.8 | Find the product: $(2 r+3)(2 r-3)$ | $4 r^{2}-9$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 4 r^{2}-9 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.6.29 | Simplify and express with positive exponents: $\frac{\left(m^{2} n^{\frac{1}{2}}\right)^{0}}{n^{\frac{3}{4}}}$ | $\frac{1}{n^{\frac{3}{4}}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{1}{n^{\frac{3}{4}}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.5.30 | Solve: $\frac{\frac{x+1}{x-1}-\frac{1-x}{1+x}}{\frac{1}{(x+1)^{2}}+\frac{1}{(x-1)^{2}}}$ | $x^{2}-1$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x^{2}-1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.8.3 | Simplify: $(7 i)-(3-2 i)$ | $-3+9 i$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -3+9 i |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.9.36 | Carolyn's age is triple her daughter's age. In eight years the sum of their ages will be 72 . How old are they now? | 14,42 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 14,42 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.4.29 | Simplify: $\frac{5 x^{2}}{4 \sqrt{3 x^{3} y^{3}}}$ | $\frac{5 \sqrt{3 x y}}{12 y^{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{5 \sqrt{3 x y}}{12 y^{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.23 | Simplify: $\frac{4 x^{3} y^{4}}{3 x y^{3}}$ | $\frac{4 x^{2} y}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{4 x^{2} y}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.80 | Simplify: $\left(7 a^{2}+7 a\right)-\left(6 a^{2}+4 a\right)$ | $a^{2}+3 a$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | a^{2}+3 a |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.40 | Simplify the expression: $\frac{12 x+24}{10 x^{2}+34 x+28} \cdot \frac{15 x+21}{5}$ | $\frac{18}{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{18}{5} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.9.26 | A kerosene lamp is 95 years old, and an electric lamp is 55 years old. How many years ago was the kerosene lamp twice the age of the electric lamp? | 15 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 15 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.5.14 | Simplify: $\frac{4}{\sqrt{2}-2}$ | $-2 \sqrt{2}-4$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -2 \sqrt{2}-4 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.6.10 | Solve the proportion: $\frac{9}{n+2}=\frac{3}{9}$ | $n=25$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | n=25 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.1.28 | Simplify: $\frac{28 m+12}{36}$ | $\frac{7 m+3}{9}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{7 m+3}{9} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.6.34 | Find the product: $(8 n+7)(8 n-7)$ | $64 n^{2}-49$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 64 n^{2}-49 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.9.3 | Pat is 20 years older than his son James. In two years Pat will be twice as old as James. How old are they now? | 18,38 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 18,38 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.69 | Evaluate the expression: $\frac{1}{5}+\frac{3}{4}$ | $\frac{19}{20}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{19}{20} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.1.10 | Solve the equation: $22=16+m$ | 6 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 6 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.2.32 | Solve the equation: $\frac{m}{4}-1=-2$ | -4 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -4 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.52 | Find quotient: $\frac{27}{3}$ | 9 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 9 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.22 | Evaluate the expression: $1+(-1)$ | 0 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.16 | Solve each equation by completing the square: $8 a^{2}+16 a-1=0$ | $\frac{-4+3 \sqrt{2}}{4}, \frac{-4-3 \sqrt{2}}{4}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{-4+3 \sqrt{2}}{4}, \frac{-4-3 \sqrt{2}}{4} |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.5.4 | A purse contains $\$ 3.90$ made up of dimes and quarters. If there are 21 coins in all, how many dimes and how many quarters were there? | $9 \mathrm{~d}, 12 \mathrm{q}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 9 \mathrm{~d}, 12 \mathrm{q} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.7.28 | Divide: $\frac{4 n^{2}-23 n-38}{4 n+5}$ | $n-7-\frac{3}{4 n+5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | n-7-\frac{3}{4 n+5} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.38 | Distribute: $3(8 v+9)$ | $24 v+27$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 24 v+27 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.2.21 | Simplify: $-2 \sqrt[3]{-48 v^{7}}$ | $4 v^{2} \sqrt[3]{6 v}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 4 v^{2} \sqrt[3]{6 v} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.5.40 | Find a quadratic equation with the solutions $\frac{-2 \pm i \sqrt{15}}{2}$. | $4 x^{2}+8 x+19=0$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 4 x^{2}+8 x+19=0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.6.22 | A candy mix sells for $\$ 2.20$ per kilogram. It contains chocolates worth $\$ 1.80$ per kilogram and other candy worth $\$ 3.00$ per kilogram. How much of each are in 15 kilograms of the mixture? | 10,5 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 10,5 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.66 | Evaluate the expression: $\frac{1}{2}-\frac{11}{6}$ | $-\frac{4}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{4}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.8.13 | Two people working together can complete a job in 6 hours. If one of them works twice as fast as the other, how long would it take the faster person, working alone, to do the job? | 9 hours | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 9 hours |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.10.8 | A man walks at the rate of 4 miles per hour. How far can he walk into the country and ride back on a trolley that travels at the rate of 20 miles per hour, if he must be back home 3 hours from the time he started? | 10 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 10 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.27 | Simplify: $2 x\left(x^{4} y^{4}\right)^{4}$ | $2 x^{17} y^{16}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2 x^{17} y^{16} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.3 | Simplify and leave your answer as an improper fraction: $\frac{35}{25}$ | $\frac{7}{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{7}{5} |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.4.20 | Solve the following systems of equation:
$4 x-7 y+3 z=1$
$3 x+y-2 z=4$
$4 x-7 y+3 z=6$ | no solution | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | no solution |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.8.17 | It takes 10 hours to fill a pool with the inlet pipe. It can be emptied in $15 \mathrm{hrs}$ with the outlet pipe. If the pool is half full to begin with, how long will it take to fill it from there if both pipes are open? | 15 hours | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 15 hours |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.4.39 | Evaluate $\left(8-b+7 b^{3}\right)-\left(3 b^{4}+7 b-8+7 b^{2}\right)+\left(3-3 b+6 b^{3}\right)$. | $-3 b^{4}+13 b^{3}-7 b^{2}-$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -3 b^{4}+13 b^{3}-7 b^{2}- |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.31 | Solve: $-57=-(-p+1)+2(6+8 p)$ | -4 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -4 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.6.19 | Solve the following equation: $x^{4}-2 x^{2}-3=0$ | $\pm i, \pm \sqrt{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \pm i, \pm \sqrt{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.6.31 | Find the square: $(5+2 r)^{2}$ | $25+20 r+4 r^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 25+20 r+4 r^{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.1.9 | Simplify: $6 \sqrt{128}$ | $48 \sqrt{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 48 \sqrt{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.1.2 | Solve the equation: $14=b+3$ | 11 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 11 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.5.22 | Simplify: $\frac{2+\sqrt{10}}{\sqrt{2}+\sqrt{5}}$ | $\sqrt{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \sqrt{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.6.30 | How many ounces of water evaporated from 50 oz of a $12 \%$ salt solution to produce a $15 \%$ salt solution? | 10 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 10 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.3.29 | Simplify: $3 \sqrt[4]{2}-2 \sqrt[4]{2}-\sqrt[4]{243}$ | $\sqrt[4]{2}-3 \sqrt[4]{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \sqrt[4]{2}-3 \sqrt[4]{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.7.4 | Find the value: $\sin 50^{\circ}$ | 0.7660 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 0.7660 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.15 | Solve each equation by completing the square: $5 k^{2}-10 k+48=0$ | $\frac{5+i \sqrt{215}}{5}, \frac{5-i \sqrt{215}}{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{5+i \sqrt{215}}{5}, \frac{5-i \sqrt{215}}{5} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.34 | Find product: $(-7)(-2)$ | 14 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 14 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.10.13 | A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5 miles an hour in the same direction. How many hours must B travel to overtake A? | 8 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 8 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.4.14 | Solve the equation: $\frac{1}{3}\left(-\frac{7}{4} k+1\right)-\frac{10}{3} k=-\frac{13}{8}$ | $\frac{1}{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{1}{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.1.17 | Given $f(t)=3^{t}-2$, find $f(-2)$ | $-\frac{17}{9}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{17}{9} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.48 | Solve: $2 p^{2}-p+56=-8$ | $\frac{1+i \sqrt{511}}{4}, \frac{1-i \sqrt{511}}{4}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{1+i \sqrt{511}}{4}, \frac{1-i \sqrt{511}}{4} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.42 | Find quotient: $\frac{5}{3} \div \frac{7}{5}$ | $\frac{25}{21}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{25}{21} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.4.15 | Add or subtract the rational expressions and simplify: $\frac{5 x+3 y}{2 x^{2} y}-\frac{3 x+4 y}{x y^{2}}$ | $\frac{3 y^{2}-3 x y-6 x^{2}}{2 x^{2} y^{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{3 y^{2}-3 x y-6 x^{2}}{2 x^{2} y^{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.4.28 | Solve the equation: $-\frac{8}{3}-\frac{1}{2} x=-\frac{4}{3} x-\frac{2}{3}\left(-\frac{13}{4} x+1\right)$ | $-\frac{3}{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{3}{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.6.3 | Solve the proportion: $\frac{7}{6}=\frac{2}{k}$ | $k=\frac{12}{7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | k=\frac{12}{7} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.5.27 | Solve the equation: $\log _{11} k=2$ | 121 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 121 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.8.26 | A cargo container is $50 \mathrm{ft}$ long, $10 \mathrm{ft}$ wide, and $8 \mathrm{ft}$ tall. Find its volume in cubic yards and cubic meters. | $148.15 \mathrm{yd}^{3} ; 113 \mathrm{~m}^{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 148.15 \mathrm{yd}^{3} ; 113 \mathrm{~m}^{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.5.6 | $\$ 3.75$ is made up of quarters and half dollars. If the number of quarters exceeds the number of half dollars by 3, how many coins of each denomination are there? | $7 \mathrm{q}, 4 \mathrm{~h}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 7 \mathrm{q}, 4 \mathrm{~h} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.5.7 | Solve the equation $\mathrm{E}=\mathrm{mc}^{2}$ for $\mathrm{m}$. | $m=\frac{E}{c^{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | m=\frac{E}{c^{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.1 | Simplify the expression: $\frac{8 x^{2}}{9} \cdot \frac{9}{2}$ | $4 x^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 4 x^{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.4.24 | Solve the equation: $4^{2 n}=4^{2-3 n}$ | $\frac{2}{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{2}{5} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.6.4 | Find the principal that will amount to $\$ 3000$ if invested at $3 \%$ interest compounded semiannually for 10 years. | 2227.41 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2227.41 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.6.15 | Solve the following equation: $x^{\frac{2}{3}}-35=2 x^{\frac{1}{3}}$ | $-125,343$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -125,343 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.7.23 | Divide: $\frac{n^{2}-4}{n-2}$ | $n+2$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | n+2 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.5.30 | Solve the equation $\mathrm{L}=\pi\left(r_{1}+r_{2}\right)+2 d$ for $r_{1}$. | $r_{1}=\frac{L-2 d-\pi r^{2}}{\pi}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | r_{1}=\frac{L-2 d-\pi r^{2}}{\pi} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.5.36 | Simplify: $\frac{-1+\sqrt{5}}{2 \sqrt{5}+5 \sqrt{2}}$ | $\frac{2 \sqrt{5}-5 \sqrt{2}-10+5 \sqrt{10}}{30}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{2 \sqrt{5}-5 \sqrt{2}-10+5 \sqrt{10}}{30} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.2.21 | Solve: $(3 x-2)^{\frac{4}{5}}=16$ | $-\frac{34}{3},-10$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{34}{3},-10 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.8.20 | Let the first angle of a triangle be $x$ degrees. Find the measures of the second and third angles. | $30,90,60$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 30,90,60 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.5 | Simplify: $3 m \cdot 4 m n$ | $12 m^{2} n$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 12 m^{2} n |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.3.25 | Solve the following system of equations by elimination:
$9 x+6 y=-21$
$-10 x-9 y=28$ | $(-1,-2)$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | (-1,-2) |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.5.3 | Find a quadratic equation with the solutions 20 and 2. | $x^{2}-22 x+40=0$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x^{2}-22 x+40=0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.7.22 | Combine the following radicals: $\sqrt[5]{a^{2} b^{3}} \sqrt[4]{a^{2} b}$ | $\sqrt[20]{a^{18} b^{17}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \sqrt[20]{a^{18} b^{17}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.2.28 | Simplify. Your answer should contain only positive expontents: $\frac{2 y x^{2} \cdot x^{-2}}{\left(2 x^{0} y^{4}\right)^{-1}}$ | $4 y^{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 4 y^{5} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.39 | Find product: $(9)(-4)$ | -36 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -36 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.47 | Find quotient: $\frac{-49}{-7}$ | 7 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 7 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.1.26 | Simplify: $\sqrt{72 a^{3} b^{4}}$ | $6 b^{2} a \sqrt{2 a}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 6 b^{2} a \sqrt{2 a} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.8.6 | Simplify: $(-8 i)-(7 i)-(5-3 i)$ | $5-12 i$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 5-12 i |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.7.9 | Reduce the following radical: $\sqrt[8]{x^{6} y^{4} z^{2}}$ | $\sqrt[4]{x^{3} y^{2} z}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \sqrt[4]{x^{3} y^{2} z} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.3.27 | Find the inverse of the function: $g(x)=\frac{8-5 x}{4}$ | $g^{-1}(x)=\frac{-4 x+8}{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | g^{-1}(x)=\frac{-4 x+8}{5} |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.5.17 | A postal clerk sold some $15 \mathbb{C}$ stamps and some $25 \mathbb{C}$ stamps. Altogether, 15 stamps were sold for a total cost of $\$ 3.15$. How many of each type of stamps were sold? | $615 \mathbb{C}, 925 \mathbb{C}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 615 \mathbb{C}, 925 \mathbb{C} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.4.28 | Solve the equation: $216^{2 n}=36$ | $\frac{1}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{1}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.6.1 | Solve the absolute value equation: $|x|=8$ | $8,-8$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 8,-8 |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.1.40 | Given $h(n)=5^{n-1}+1$, find $h\left(\frac{n}{2}\right)$ | $5^{\frac{-2+n}{2}}+1$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 5^{\frac{-2+n}{2}}+1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.2.19 | Solve: $(x-1)^{-\frac{5}{2}}=32$ | $\frac{5}{4}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{5}{4} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.5.15 | Find a quadratic equation with the solutions $\frac{3}{7}$ and 4. | $7 x^{2}-31 x+12=0$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 7 x^{2}-31 x+12=0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.56 | Simplify: $-8 x+9(-9 x+9)$ | $-89 x+81$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -89 x+81 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.4.10 | Add or subtract the rational expressions and simplify: $\frac{x+5}{8}+\frac{x-3}{12}$ | $\frac{5 x+9}{24}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{5 x+9}{24} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.42 | Simplify the expression: $\frac{a^{3}+b^{3}}{a^{2}+3 \mathrm{ab}+2 b^{2}} \cdot \frac{3 a-6 b}{3 a^{2}-3 \mathrm{ab}+3 b^{2}} \div \frac{a^{2}-4 b^{2}}{a+2 b}$ | $\frac{1}{a+2 b}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{1}{a+2 b} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.8.44 | The total cost for tuition plus room and board at State University is $\$2,584$. Tuition costs $\$704$ more than room and board. What is the tuition fee? | 1644 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 1644 |
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