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stringlengths 14
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stringlengths 14
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stringclasses 7
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stringlengths 1
991
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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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