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college_math.Beginning_and_Intermediate_Algebra | exercise.4.6.10 | How many liters of a solvent that costs $\$ 80$ per liter must be mixed with $6 \mathrm{~L}$ of a solvent that costs $\$ 25$ per liter to make a solvent that costs $\$ 36$ per liter? | 1.5 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 1.5 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.9 | Evaluate the expression: $(-7)-(-5)$ | -2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -2 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.10.7 | A man having ten hours at his disposal made an excursion, riding out at the rate of 10 miles an hour and returning on foot, at the rate of 3 miles an hour. Find the distance he rode. | $\frac{300}{13}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{300}{13} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.5.15 | Find the product: $(6 x-7)(4 x+1)$ | $24 x^{2}-22 x-7$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 24 x^{2}-22 x-7 |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.3.8 | State if the given functions are inverses:
$f(x)=\sqrt[5]{\frac{x+1}{2}}$
$g(x)=2 x^{5}-1$ | Yes | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | Yes |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.2.30 | Simplify. Your answer should contain only positive expontents: $\frac{u^{-3} v^{-4}}{2 v\left(2 u^{-3} v^{4}\right)^{0}}$ | $\frac{1}{2 u^{3} v^{5}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{1}{2 u^{3} v^{5}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.23 | Evaluate the expression: $5-(-6)$ | 11 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 11 |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.4.16 | Solve the following systems of equation:
$p+q+r=1$
$p+2 q+3 r=4$
$4 p+5 q+6 r=7$ | $\propto$ solutions | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \propto$ solutions |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.3.24 | Build up each fraction by finding the Least Common Denominator: $\frac{5}{x^{2}-6 x}, \frac{2}{x}, \frac{-3}{x-6}$ | $\frac{5}{x(x-6)}, \frac{2 x-12}{x(x-6)}, \frac{-3 x}{x(x-6)}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{5}{x(x-6)}, \frac{2 x-12}{x(x-6)}, \frac{-3 x}{x(x-6)} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.5.28 | Find a quadratic equation with the solutions $\pm 11 i$. | $x^{2}+121=0$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x^{2}+121=0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.9.13 | A is now 34 years old, and $\mathrm{B}$ is 4 years old. In how many years will A be twice as old as B? | 26 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 26 |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.6.19 | A chemist wants to make $50 \mathrm{ml}$ of a $16 \%$ acid solution by mixing a $13 \%$ acid solution and an $18 \%$ acid solution. How many milliliters of each solution should the chemist use? | 20,30 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 20,30 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.6.1 | Solve the proportion: $\frac{10}{a}=\frac{6}{8}$ | $\frac{40}{3}=a$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{40}{3}=a |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.7.18 | Divide: $\frac{48 k^{2}-70 k+16}{6 k-2}$ | $8 k-9-\frac{1}{3 k-1}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 8 k-9-\frac{1}{3 k-1} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.6.23 | Find the square: $(7-5 n)^{2}$ | $49-70 n+25 n^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 49-70 n+25 n^{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.17 | Solve each equation by completing the square: $x^{2}+10 x-57=4$ | $-5+\sqrt{86},-5-\sqrt{86}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -5+\sqrt{86},-5-\sqrt{86} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.1.15 | State the excluded values for $\frac{b^{2}+12 b+32}{b^{2}+4 b-32}$ | $-8,4$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -8,4 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.6.19 | Solve the proportion: $\frac{7}{x-1}=\frac{4}{x-6}$ | $x=\frac{38}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x=\frac{38}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.48 | Solve: $-5(x+7)=4(-8 x-2)$ | 1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.5.39 | Find the product: $6(4 x-1)(4 x+1)$ | $96 x^{2}-6$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 96 x^{2}-6 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.2.7 | Solve the equation: $0=-6 v$ | 0 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.3.17 | Solve the following system of equations by elimination:
$-7 x+4 y=-4$
$10 x-8 y=-8$ | $(4,6)$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | (4,6) |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.5.36 | Solve the equation $\mathrm{V}=\frac{\pi r^{2} h}{3}$ for $\mathrm{h}$. | $h=\frac{3 v}{\pi r^{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | h=\frac{3 v}{\pi r^{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.1.17 | Solve the equation: $340=20 n$ | 17 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 17 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.2.19 | Simplify. Your answer should contain only positive expontents: $\left(\frac{2 a^{2} b^{3}}{a^{-1}}\right)^{4}$ | $16 a^{12} b^{12}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 16 a^{12} b^{12} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.1.27 | Simplify: $\frac{x+1}{x^{2}+8 x+7}$ | $\frac{1}{x+7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{1}{x+7} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.6.21 | Solve the following equation: $2 x^{4}-5 x^{2}+2=0$ | $\pm \sqrt{2}, \pm \frac{\sqrt{2}}{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \pm \sqrt{2}, \pm \frac{\sqrt{2}}{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.6.27 | A goldsmith combined an alloy that costs $\$ 4.30$ per ounce with an alloy that costs $\$ 1.80$ per ounce. How many ounces of each were used to make a mixture of 200 oz costing $\$ 2.50$ per ounce? | 56,144 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 56,144 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.9.27 | A father is three times as old as his son, and his daughter is 3 years younger than the son. If the sum of their ages 3 years ago was 63 years, find the present age of the father. | 45 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 45 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.8 | Solve: $-55=8+7(k-5)$ | -4 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -4 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.5.6 | Solve the equation $\frac{\mathrm{ym}}{b}=\frac{c}{d}$ for $\mathrm{y}$. | $y=\frac{\mathrm{cb}}{\mathrm{dm}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | y=\frac{\mathrm{cb}}{\mathrm{dm}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.2.2 | Simplify. Your answer should contain only positive expontents: $2 a^{-2} b^{-3} \cdot\left(2 a^{0} b^{4}\right)^{4}$ | $\frac{32 b^{13}}{a^{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{32 b^{13}}{a^{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.54 | Solve: $4 b^{2}-15 b+56=3 b^{2}$ | 8,7 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 8,7 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.5.26 | Find a quadratic equation with the solutions $\pm 2 \sqrt{3}$. | $x^{2}-12=0$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x^{2}-12=0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.4.4 | Solve the equation: $16^{-3 p}=64^{-3 p}$ | 0 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.1 | Simplify: $4 \cdot 4^{4} \cdot 4^{4}$ | $4^{9}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 4^{9} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.3.9 | Find the missing numerator to build up the denominator: $\frac{x-4}{x+2}=\frac{?}{x^{2}+5 x+6}$ | $x^{2}-x-12$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x^{2}-x-12 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.6.2 | Solve the absolute value equation: $|n|=7$ | $7,-7$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 7,-7 |
college_math.Beginning_and_Intermediate_Algebra | exercise.2.5.15 | Find the slope of a line perpendicular to the given line: $x+2 y=8$ | 2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2 |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.4.28 | Solve the following systems of equation:
$3 x+2 y=z+2$
$y=1-2 x$
$3 z=-2 y$ | $\left(\frac{2}{7}, \frac{3}{7},-\frac{2}{7}\right)$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \left(\frac{2}{7}, \frac{3}{7},-\frac{2}{7}\right) |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.10 | Evaluate the expression: $(-4)+(-1)$ | -5 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -5 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.4.11 | Evaluate $\left(5 p-5 p^{4}\right)-\left(8 p-8 p^{4}\right)$. | $11 b+19$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 11 b+19 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.4.8 | Add or subtract the rational expressions and simplify: $\frac{7}{x y^{2}}+\frac{3}{x^{2} y}$ | $\frac{7 x+3 y}{x^{2} y^{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{7 x+3 y}{x^{2} y^{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.5.42 | Solve the equation $\mathrm{x}+5 \mathrm{y}=3$ for $\mathrm{x}$. | $x=3-5 y$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x=3-5 y |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.1.8 | Simplify: $5 \sqrt{32}$ | $20 \sqrt{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 20 \sqrt{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.8.18 | A sink is $\frac{1}{4}$ full when both the faucet and the drain are opened. The faucet alone can fill the sink in 6 minutes, while it takes 8 minutes to empty it with the drain. How long will it take to fill the remaining $\frac{3}{4}$ of the sink? | $18 \mathrm{~min}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 18 \mathrm{~min} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.7.34 | Solve the equation for $x$: $\frac{3 x-1}{x+6}-\frac{2 x-3}{x-3}=\frac{-3 x^{2}}{x^{2}+3 x-18}$ | $\frac{7}{4}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{7}{4} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.3.39 | Simplify and write the answer in scientific notation: $\frac{2.4 \times 10^{-6}}{6.5 \times 10^{0}}$ | $3.692 \times 10^{-7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 3.692 \times 10^{-7} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.7.23 | Combine the following radicals: $\sqrt[4]{a^{2} b c^{2}} \sqrt[5]{a^{2} b^{3} c}$ | $\sqrt[20]{a^{18} b^{17} c^{14}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \sqrt[20]{a^{18} b^{17} c^{14}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.36 | Solve: $n^{2}+4 n=12$ | $2,-6$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2,-6 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.6.42 | Solve the following equation: $\left(x^{2}+x\right)^{2}-8\left(x^{2}+x\right)+12=0$ | $-3, \pm 2,1$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -3, \pm 2,1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.1.8 | Solve: $\sqrt{2 x+2}=3+\sqrt{2 x-1}$ | 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.1.1.7 | Solve the equation: $x-7=-26$ | -19 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -19 |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.4.10 | Solve the equation: $5^{2 n}=5^{-n}$ | 0 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.1.22 | Given $w(x)=-4 x+3$, find $w(6)$ | -21 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -21 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.4.38 | Simplify: $\frac{4}{\sqrt[4]{64 m^{4} n^{2}}}$ | $\frac{\sqrt[4]{4 n^{2}}}{m n}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{\sqrt[4]{4 n^{2}}}{m n} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.5 | Simplify the expression: $\frac{5 x^{2}}{4} \cdot \frac{6}{5}$ | $\frac{3 x^{2}}{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{3 x^{2}}{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.1.11 | Given $g(x)=4 x-4$, find $g(0)$ | -4 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -4 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.21 | Find product: $(9)\left(\frac{8}{9}\right)$ | 8 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 8 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.23 | Combine Like Terms: $n+n$ | $2 n$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2 n |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.1.45 | State the excluded values for $\frac{7 n^{2}-32 n+16}{4 n-16}$ | $\frac{7 n-4}{4}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{7 n-4}{4} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.33 | Combine Like Terms: $m-2 m$ | $-m$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -m |
college_math.Beginning_and_Intermediate_Algebra | exercise.2.5.3 | Find the slope of a line parallel to the given line: $y=4 x-5$ | 4 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 4 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.15 | Simplify the expression: $\frac{x^{2}-6 x-7}{x+5} \cdot \frac{x+5}{x-7}$ | $x+1$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x+1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.6.38 | Sarah worked 10 more hours than Josh. If Sarah worked $7 \mathrm{hr}$ for every $2 \mathrm{hr}$ Josh worked, how long did they each work? | J: $4 \mathrm{hr}, \mathrm{S}: 14 \mathrm{hr}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | J: $4 \mathrm{hr}, \mathrm{S}: 14 \mathrm{hr} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.4.22 | Solve the equation: $\frac{7}{6}-\frac{4}{3} n=-\frac{3}{2} n+2\left(n+\frac{3}{2}\right)$ | -1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.2.15 | Simplify: $\sqrt[5]{224 n^{3}}$ | $2 \sqrt[5]{7 n^{3}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2 \sqrt[5]{7 n^{3}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.1.11 | Solve the equation: $340=-17 x$ | -20 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -20 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.8.39 | Evaluate the expression: $\frac{7}{10-7 i}$ | $\frac{70+49 i}{149}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{70+49 i}{149} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.5.33 | Solve the equation $a x+b=c$ for $a$. | $a=\frac{c-b}{x}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | a=\frac{c-b}{x} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.9.1 | Solve the following systems of equation:
$x y=72$
$(x+2)(y-4)=128$ | $(2,36),(-18,-4)$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | (2,36),(-18,-4) |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.7.9 | Divide: $\frac{x^{2}-2 x-71}{x+8}$ | $x-10+\frac{9}{x+8}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x-10+\frac{9}{x+8} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.10.33 | Three campers left their campsite by canoe and paddled downstream at an average rate of $10 \mathrm{mph}$. They then turned around and paddled back upstream at an average rate of $5 \mathrm{mph}$ to return to their campsite. How long did it take the campers to canoe downstream if the total trip took $1 \mathrm{hr}$? | $\frac{1}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{1}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.58 | Find quotient: $\frac{48}{8}$ | 6 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 6 |
college_math.Beginning_and_Intermediate_Algebra | exercise.2.5.7 | Find the slope of a line parallel to the given line: $7 x+y=-2$ | -7 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -7 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.3.12 | Simplify: $-\sqrt{5}-\sqrt{5}-2 \sqrt{54}$ | $-2 \sqrt{5}-6 \sqrt{6}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -2 \sqrt{5}-6 \sqrt{6} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.5.36 | Find a quadratic equation with the solutions $-9 \pm i \sqrt{5}$. | $x^{2}+18 x+86=0$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x^{2}+18 x+86=0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.30 | Evaluate the expression: $(-3)+(-5)$ | -8 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -8 |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.5.3 | The attendance at a school concert was 578. Admission was $\$ 2.00$ for adults and $\$ 1.50$ for children. The total receipts were $\$ 985.00$. How many adults and how many children attended? | 236 adult, 342 child | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 236 adult, 342 child |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.2.1 | Solve the equation: $5+\frac{n}{4}=4$ | -4 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -4 |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.4.21 | Solve the equation: $3^{3 x-2}=3^{3 x+1}$ | 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.0.4.9 | Evaluate using the given values: $\frac{4-(p-m)}{2}+q$; $m=4, p=6, q=6$ | 7 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 7 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.5.10 | Solve the equation $\mathrm{E}=\frac{\mathrm{mv}^{2}}{2}$ for $\mathrm{m}$. | $m=\frac{2 E}{v_{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | m=\frac{2 E}{v_{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.4.21 | Add or subtract the rational expressions and simplify: $\frac{t}{t-3}-\frac{5}{4 t-12}$ | $\frac{4 t-5}{4(t-3)}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{4 t-5}{4(t-3)} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.1.18 | Simplify: $\frac{12 n}{4 n^{2}}$ | $\frac{3}{n}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{3}{n} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.7.24 | Divide: $\frac{2 x^{2}-5 x-8}{2 x+3}$ | $x-4+\frac{4}{2 x+3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x-4+\frac{4}{2 x+3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.1.38 | Given $h(t)=t^{2}+t$, find $h\left(t^{2}\right)$ | $t^{4}+t^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | t^{4}+t^{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.8.4 | Find the angle measure to the nearest degree given $\cos \mathrm{Y}=0.6157$ | $52^{\circ}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 52^{\circ} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.41 | Find quotient: $\frac{-3}{2} \div \frac{13}{7}$ | $-\frac{21}{26}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{21}{26} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.5.39 | Solve the equation $\mathrm{at}-\mathrm{bw}=s$ for $\mathrm{t}$. | $t=\frac{5+\mathrm{bw}}{a}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | t=\frac{5+\mathrm{bw}}{a} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.33 | Find product: $33(2)\left(\frac{3}{2}\right)$ | 3 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 3 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.19 | Solve each equation by completing the square: $n^{2}-16 n+67=4$ | 9,7 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 9,7 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.3.10 | Write the number in standard notation: $5 \times 10^{4}$ | 50000 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 50000 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.10.22 | A motorboat leaves a harbor and travels at an average speed of $9 \mathrm{mph}$ toward a small island. Two hours later a cabin cruiser leaves the same harbor and travels at an average speed of $18 \mathrm{mph}$ toward the same island. In how many hours after the cabin cruiser leaves will the cabin cruiser be alongside the motorboat? | 2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2 |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.5.21 | A coin bank contains nickels and dimes. The number of dimes is 10 less than twice the number of nickels. The total value of all the coins is $\$ 2.75$. Find the number of each type of coin in the bank. | $15 \mathrm{n}, 20 \mathrm{~d}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 15 \mathrm{n}, 20 \mathrm{~d} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.6.32 | Solve the following equation: $(m-1)^{2}-5(m-1)=14$ | $8,-1$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 8,-1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.7.29 | Divide: $\frac{a^{3}+15 a^{2}+49 a-55}{a+7}$ | $a^{2}+8 a-7-\frac{6}{a+7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | a^{2}+8 a-7-\frac{6}{a+7} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.5.30 | Find a quadratic equation with the solutions $\pm 5 i \sqrt{2}$. | $x^{2}+50=0$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x^{2}+50=0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.11 | Simplify and leave your answer as an improper fraction: $\frac{40}{16}$ | $\frac{5}{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{5}{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.1.20 | Given $w(x)=x^{2}+4 x$, find $w(-5)$ | 5 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 5 |
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