data_source
stringclasses 9
values | question_number
stringlengths 14
17
| problem
stringlengths 14
1.32k
| answer
stringlengths 1
993
| license
stringclasses 8
values | data_topic
stringclasses 7
values | solution
stringlengths 1
991
|
|---|---|---|---|---|---|---|
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}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.