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college_math.Beginning_and_Intermediate_Algebra | exercise.1.2.4 | Solve the equation: $27=21-3 x$ | -2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -2 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.18 | Solve: $-16 n+12=39-7 n$ | -3 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -3 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.63 | Simplify: $4(x+7)+8(x+4)$ | $12 x+60$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 12 x+60 |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.3.34 | Solve the following system of equations by elimination:
$-6-42 y=-12 x$
$x-\frac{1}{2}-\frac{7}{2} y=0$ | Infinite number of solutions | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | Infinite number of solutions |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.10.6 | A clothier bought a lot of suits for $\$ 750$. He sold all but 3 of them for $\mathbb{\$} 864$ making a profit of $\$ 7$ on each suit sold. How many suits did he buy? | 30 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 30 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.7.20 | Solve the equation for $x$: $\frac{3 x-5}{5 x-5}+\frac{5 x-1}{7 x-7}-\frac{x-4}{1-x}=2$ | 10 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 10 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.3.20 | Solve: $\frac{-5^{2}+(-5)^{2}}{\left|4^{2}-2^{5}\right|-2 \cdot 3}$ | 0 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.7.38 | Divide: $\frac{8 m^{3}-57 m^{2}+42}{8 m+7}$ | $m^{2}-8 m+7-\frac{7}{8 m+7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | m^{2}-8 m+7-\frac{7}{8 m+7} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.3.27 | Build up each fraction by finding the Least Common Denominator: $\frac{x+1}{x^{2}-36}, \frac{2 x+3}{x^{2}+12 x+36}$ | $\frac{x^{2}+7 x+6}{(x-6)(x+6)^{2}}, \frac{2 x^{2}-9 x-18}{(x-6)(x+6)^{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{x^{2}+7 x+6}{(x-6)(x+6)^{2}}, \frac{2 x^{2}-9 x-18}{(x-6)(x+6)^{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.6 | Find the value that completes the square and then rewrite as a perfect square: $r^{2}-\frac{1}{9} r+$ | $\frac{1}{324} ;\left(r-\frac{1}{18}\right)^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{1}{324} ;\left(r-\frac{1}{18}\right)^{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.7.26 | The wavelength of a radio wave varies inversely as its frequency. A wave with a frequency of 1200 kilohertz has a length of 300 meters. What is the length of a wave with a frequency of 800 kilohertz? | $450 \mathrm{~m}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 450 \mathrm{~m} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.4.20 | Multiply and simplify: $(5 \sqrt{2}-1)(-\sqrt{2 m}+5)$ | $-10 \sqrt{m}+25 \sqrt{2}+\sqrt{2 m}-5$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -10 \sqrt{m}+25 \sqrt{2}+\sqrt{2 m}-5 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.7.29 | Combine the following radicals: $\sqrt{x y^{3}} \sqrt[3]{x^{2} y}$ | $x y \sqrt[6]{x y^{5}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x y \sqrt[6]{x y^{5}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.9 | Solve each equation by completing the square: $x^{2}-16 x+55=0$ | 11,5 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 11,5 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.7.26 | Combine the following radicals: $\sqrt[3]{x^{2}} \sqrt[6]{x^{5}}$ | $x \sqrt{x}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x \sqrt{x} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.4.14 | Multiply and simplify: $(-2+\sqrt{3})(-5+2 \sqrt{3})$ | $16-9 \sqrt{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 16-9 \sqrt{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.9.35 | A wool tapestry is 32 years older than a linen tapestry. Twenty years ago, the wool tapestry was twice as old as the linen tapestry. Find the present age of each. | 84,52 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 84,52 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.4.30 | Evaluate $\left(7 n+1-8 n^{4}\right)-\left(3 n+7 n^{4}+7\right)$. | $-15 n^{4}+4 n-6$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -15 n^{4}+4 n-6 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.10 | Simplify the expression: $\frac{6 x(x+4)}{x-3} \cdot \frac{(x-3)(x-6)}{6 x(x-6)}$ | $x+4$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x+4 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.6.29 | Solve the following equation: $(y+b)^{2}-4(y+b)=21$ | $-(b+3), 7-b$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -(b+3), 7-b |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.73 | Evaluate the expression: $6-\frac{8}{7}$ | $\frac{34}{7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{34}{7} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.10.7 | A group of boys bought a boat for $\$ 450$. Five boys failed to pay their share, hence each remaining boys were compelled to pay $\$ 4.50$ more. How many boys were in the original group and how much had each agreed to pay? | $25 @ \$ 18$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 25 @ \$ 18 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.31 | Simplify: $\left(\frac{(2 x)^{3}}{x^{3}}\right)^{2}$ | 64 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 64 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.1.37 | Simplify: $\frac{6 a-10}{10 a+4}$ | $\frac{3 a-5}{5 a+2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{3 a-5}{5 a+2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.5.19 | Evaluate the expression: $\log _{6} 36$ | 2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.8.28 | Computer memory is measured in units of bytes, where one byte is enough memory to store one character (a letter in the alphabet or a number). How many typical pages of text can be stored on a 700-megabyte compact disc? Assume that one typical page of text contains 2000 characters. (1 megabyte $=$ $1,000,000$ bytes) | 350,000 pages | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 350,000 pages |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.1.39 | Simplify: $2 \sqrt{80 h j^{4} k}$ | $8 j^{2} \sqrt{5 h k}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 8 j^{2} \sqrt{5 h k} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.2.37 | Simplify. Your answer should contain only positive expontents: $\frac{\left(c b^{3}\right)^{2} \cdot 2 a^{-3} b^{2}}{\left(a^{3} b^{-2} c^{3}\right)^{3}}$ | $\frac{2 b^{14}}{a^{12} c^{7}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{2 b^{14}}{a^{12} c^{7}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.3.22 | Find the inverse of the function: $g(x)=\sqrt[5]{\frac{-x+2}{2}}$ | $g^{-1}(x)=-2 x^{5}+2$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | g^{-1}(x)=-2 x^{5}+2 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.2.8 | Simplify: $-8 \sqrt[4]{48}$ | $-16 \sqrt[4]{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -16 \sqrt[4]{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.7.6 | Solve the equation for $x$: $\frac{x-4}{x-1}=\frac{12}{3-x}+1$ | $\frac{1}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{1}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.4.6 | Add or subtract the rational expressions and simplify: $\frac{3}{x}+\frac{4}{x^{2}}$ | $\frac{3 x+4}{x^{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{3 x+4}{x^{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.67 | Simplify: $7(7+3 v)+10(3-10 v)$ | $79-79 v$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 79-79 v |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.7.34 | Combine the following radicals: $\sqrt{a^{4} b^{3} c^{4}} \sqrt[3]{a b^{2} c}$ | $a^{2} b^{2} c^{2} \sqrt[6]{a^{2} b c^{2}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | a^{2} b^{2} c^{2} \sqrt[6]{a^{2} b c^{2}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.2.20 | Simplify: $-8 \sqrt[7]{384 b^{8}}$ | $-16 b \sqrt[7]{3 b}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -16 b \sqrt[7]{3 b} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.4.3 | Simplify the expression $n^{3}-7 n^{2}+15 n-20$ when $n=2$. | -10 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -10 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.54 | Simplify: $4 v-7(1-8 v)$ | $60 v-7$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 60 v-7 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.5.5 | Simplify: $\frac{2-5 \sqrt{5}}{4 \sqrt{13}}$ | $\frac{2 \sqrt{13}-5 \sqrt{65}}{52}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{2 \sqrt{13}-5 \sqrt{65}}{52} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.3.7 | Write the number in standard notation: $8.7 \times 10^{5}$ | 870000 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 870000 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.30 | Simplify the expression: $\frac{k-7}{k^{2}-k-12} \cdot \frac{7 k^{2}-28 k}{8 k^{2}-56 k}$ | $\frac{7}{8(k+3)}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{7}{8(k+3)} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.10.17 | A car traveling at $48 \mathrm{mph}$ overtakes a cyclist who, riding at $12 \mathrm{mph}$, has had a 3-hour head start. How far from the starting point does the car overtake the cyclist? | 48 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 48 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.54 | Evaluate the expression: $\frac{1}{7}+\left(-\frac{11}{7}\right)$ | $-\frac{10}{7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{10}{7} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.7.29 | Solve the equation for $x$: $\frac{x-5}{x-9}+\frac{x+3}{x-3}=\frac{-4 x^{2}}{x^{2}-12 x+27}$ | $-\frac{2}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{2}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.2.5 | Solve: $3 x^{2}+1=73$ | $\pm 2 \sqrt{6}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \pm 2 \sqrt{6} |
college_math.Beginning_and_Intermediate_Algebra | exercise.3.2.5 | Solve the compound inequality and give interval notation: $x-6<-13$ or $6 x \leqslant-60$ | $x<-7:(-\infty,-7)$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x<-7:(-\infty,-7) |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.3.4 | Find the missing numerator to build up the denominator: $\frac{5}{2 x^{2}}=\frac{?}{8 x^{3} y}$ | $20 x y$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 20 x y |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.8.38 | A man bought a cow and a calf for $\$990$. He paid $8$ times as much for the cow as for the calf. What was the cost of each? | 110,880 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 110,880 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.8.4 | Convert $1.35 \mathrm{~km}$ to centimeters. | $135,000 \mathrm{~cm}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 135,000 \mathrm{~cm} |
college_math.Beginning_and_Intermediate_Algebra | exercise.3.2.14 | Solve the compound inequality and give interval notation: $0 \geqslant \frac{x}{9} \geqslant-1$ | $-9 \leqslant x \leqslant 0:[-9,0]$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -9 \leqslant x \leqslant 0:[-9,0] |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.5.8 | $\$ 3.25$ in dimes and nickels were distributed among 45 boys. If each received one coin, how many received dimes and how many received nickels? | 25,20 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 25,20 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.1.5 | Simplify: $\sqrt{12}$ | $2 \sqrt{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2 \sqrt{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.6.12 | Find the product: $(7 a+7 b)(7 a-7 b)$ | $49 a^{2}-49 b^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 49 a^{2}-49 b^{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.1.4 | Evaluate $\frac{a+2}{a^{2}+3 a+2}$ when $a=-1$ | undefined | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | undefined |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.1.38 | Solve the equation: $-15=\frac{x}{9}$ | -135 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -135 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.24 | Find product: $(-2)\left(\frac{1}{3}\right)$ | $-\frac{2}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -\frac{2}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.8.28 | It takes John 24 minutes longer than Sally to mow the lawn. If they work together, they can mow the lawn in 9 minutes. How long will it take each to mow the lawn if they work alone? | 12 and $36 \mathrm{~min}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 12 and $36 \mathrm{~min} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.8.33 | A bicycle and a bicycle helmet cost $\$240$. If the bicycle cost $5$ times as much as the helmet, what was the cost of each? | 40, 200 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 40, 200 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.3.19 | Solve: $\frac{-13-2}{2-(-1)^{3}+(-6)-[-1-(-3)]}$ | 3 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 3 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.1.36 | Simplify: $-5 \sqrt{72 x^{3} y^{4}}$ | $-30 y^{2} x \sqrt{2 x}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -30 y^{2} x \sqrt{2 x} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.27 | Find product: $\left(-\frac{6}{5}\right)\left(-\frac{11}{8}\right)$ | $\frac{33}{20}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{33}{20} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.5.16 | Evaluate the expression: $\log _{7} 1$ | 0 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.3.26 | Simplify: $3 \sqrt[3]{135}-\sqrt[3]{81}-\sqrt[3]{135}$ | $6 \sqrt[3]{5}-3 \sqrt[3]{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 6 \sqrt[3]{5}-3 \sqrt[3]{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.33 | Solve: $-2(m-2)+7(m-8)=-67$ | -3 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -3 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.2.16 | Simplify. Your answer should contain only positive expontents: $\frac{2 x^{-2} y^{2}}{4 y x^{2}}$ | $\frac{y}{2 x^{4}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{y}{2 x^{4}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.4 | Solve: $2-8(-4+3 x)=34$ | 0 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 0 |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.46 | Solve: $a^{2}-5 a+25=3$ | $\frac{5+3 i \sqrt{7}}{2}, \frac{5-3 i \sqrt{7}}{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{5+3 i \sqrt{7}}{2}, \frac{5-3 i \sqrt{7}}{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.6.14 | An $8.5 \%$ account earns continuous interest. If $\$ 2500$ is deposited for 5 years, what is the total accumulated? | 3823.98 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 3823.98 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.40 | Solve: $-6(x-8)-4(x-2)=-4$ | 6 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 6 |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.3.23 | Solve the following system of equations by elimination:
$9 x-2 y=-18$
$5 x-7 y=-10$ | $(-2,0)$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | (-2,0) |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.10.14 | An athlete plans to row upstream a distance of 2 kilometers and then return to his starting point in a total time of 2 hours and 20 minutes. If the rate of the current is $2 \mathrm{~km} / \mathrm{hr}$, how fast should he row? | $3.033 \mathrm{~km} / \mathrm{hr}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 3.033 \mathrm{~km} / \mathrm{hr} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.6.2 | Solve the proportion: $\frac{7}{9}=\frac{n}{6}$ | $n=\frac{14}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | n=\frac{14}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.42 | Simplify: $\left(\frac{2 q^{3} p^{3} r^{4} \cdot 2 p^{3}}{\left(q r p^{3}\right)^{2}}\right)^{4}$ | $256 q^{4} r^{8}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 256 q^{4} r^{8} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.5.18 | Find the product: $(2 u+3 v)(8 u-7 v)$ | $16 u^{2}+10 u v-21 v^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 16 u^{2}+10 u v-21 v^{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.12 | Simplify and leave your answer as an improper fraction: $\frac{48}{42}$ | $\frac{8}{7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{8}{7} |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.4.29 | Solve the equation: $\frac{47}{9}+\frac{3}{2} x=\frac{5}{3}\left(\frac{5}{2} x+1\right)$ | $\frac{4}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{4}{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.5.31 | Jason earned $\$ 256$ interest last year on his investments. If $\$ 1600$ was invested at a certain rate of return and $\$ 2400$ was invested in a fund with a rate that was double the rate of the first fund, find the two rates of interest. | $\$ 1600 @ 4 \%$; $\$ 2400$ @ 8\% | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \$ 1600 @ 4 \%$; $\$ 2400$ @ 8\% |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.35 | Combine Like Terms: $9 n-1+n+4$ | $10 n+3$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 10 n+3 |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.7 | 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.1.3.14 | Solve: $56 p-48=6 p+2$ | 1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.1.30 | Simplify: $\sqrt{512 m^{4} n^{3}}$ | $16 m^{2} n \sqrt{2 n}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 16 m^{2} n \sqrt{2 n} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.6.14 | Solve the proportion: $\frac{n}{8}=\frac{n-4}{3}$ | $n=\frac{32}{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | n=\frac{32}{5} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.3.4 | Simplify: $-2 \sqrt{6}-\sqrt{3}-3 \sqrt{6}$ | $-5 \sqrt{6}-\sqrt{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -5 \sqrt{6}-\sqrt{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.8.12 | Convert $3.5 \mathrm{mph}$ (miles per hour) to feet per second. | $5.13 \mathrm{ft} / \mathrm{sec}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 5.13 \mathrm{ft} / \mathrm{sec} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.17 | Simplify: $\frac{4^{5}}{4^{3}}$ | $4^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 4^{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.6.30 | Solve the proportion: $\frac{x-5}{4}=\frac{-3}{x+3}$ | $x=-1,3$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | x=-1,3 |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.4.12 | Multiply and simplify: $\sqrt{15}(\sqrt{5}-3 \sqrt{3 v})$ | $5 \sqrt{3}-9 \sqrt{5 v}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 5 \sqrt{3}-9 \sqrt{5 v} |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.7.13 | Combine the following radicals: $\sqrt[3]{5} \sqrt{6}$ | $\sqrt[6]{5400}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \sqrt[6]{5400} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.8.3 | Jack can wash and wax the family car in one hour less than Bob can. The two working together can complete the job in $1 \frac{1}{5}$ hours. How much time would each require if they worked alone? | 2 and 3 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2 and 3 |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.5.27 | Solve the equation $h=\mathrm{vt}-16 t^{2}$ for $\mathrm{v}$. | $v=\frac{16 t^{2}+h}{t}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | v=\frac{16 t^{2}+h}{t} |
college_math.Beginning_and_Intermediate_Algebra | exercise.3.2.6 | Solve the compound inequality and give interval notation: $9+n<2$ or $5 n>40$ | $n<-7$ or $n>8:(-\infty-7), \bigcup(8, \infty)$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | n<-7$ or $n>8:(-\infty-7), \bigcup(8, \infty) |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.8.22 | An average human heart beats 60 times per minute. If an average person lives to the age of 75 , how many times does the average heart beat in a lifetime? | $2,365,200,000$ beats/lifetime | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 2,365,200,000$ beats/lifetime |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.10.11 | A family drove to a resort at an average speed of $30 \mathrm{mph}$ and later returned over the same road at an average speed of $50 \mathrm{mph}$. Find the distance to the resort if the total driving time was 8 hours. | 150 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 150 |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.3.40 | Simplify and write the answer in scientific notation: $\left(9 \times 10^{-2}\right)^{-3}$ | $1.372 \times 10^{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 1.372 \times 10^{3} |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.5.30 | Solve the equation: $\log _{11}(x-4)=-1$ | $\frac{45}{11}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{45}{11} |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.8.2 | Convert $234 \mathrm{oz}$ to tons. | $0.0073125 \mathrm{~T}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | 0.0073125 \mathrm{~T} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.4.23 | Evaluate $\left(8 x^{3}+1\right)-\left(5 x^{4}-6 x^{3}+2\right)$. | $-5 x^{4}+14 x^{3}-1$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | -5 x^{4}+14 x^{3}-1 |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.4.9 | Add or subtract the rational expressions and simplify: $\frac{8}{9 t^{3}}+\frac{5}{6 t^{2}}$ | $\frac{15 t+16}{18 t^{3}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{15 t+16}{18 t^{3}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.6.3 | Solve the following equation: $m^{4}-7 m^{2}-8=0$ | $\pm i, \pm 2 \sqrt{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \pm i, \pm 2 \sqrt{2} |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.2.10 | Simplify. Your answer should contain only positive expontents: $\frac{3 y^{3}}{3 y x^{3} \cdot 2 x^{4} y^{-3}}$ | $\frac{y^{5}}{2 x^{7}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \frac{y^{5}}{2 x^{7}} |
college_math.Beginning_and_Intermediate_Algebra | exercise.3.2.30 | Solve the compound inequality and give interval notation: $8-10 r \leqslant 8+4 r$ or $-6+8 r<2+8 r$ | $\{$ All real numbers. $\}: \mathbb{R}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra | \{$ All real numbers. $\}: \mathbb{R} |
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