data_source
stringclasses
9 values
question_number
stringlengths
14
17
question
stringlengths
14
1.32k
answer
stringlengths
1
993
license
stringclasses
8 values
data_topic
stringclasses
7 values
college_math.Beginning_and_Intermediate_Algebra
exercise.0.4.61
Simplify: $-10-4(n-5)$
$10-4 n$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.9.7
Solve the following systems of equation: $x y=90$ $(x-5)(y+1)=120$
$(45,2),(-10,-9)$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.8.42
Evaluate the expression: $\frac{8 i}{6-7 i}$
$\frac{48 i-56}{85}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.8.9
Find three consecutive integers such that their sum is 108.
$35,36,37$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.5.31
Find a quadratic equation with the solutions $2 \pm \sqrt{6}$.
$x^{2}-4 x-2=0$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.10.1.5
Specify the domain of the function: $f(x)=x^{2}-3 x-4$
all real numbers
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.6.21
Find the square: $(p+7)^{2}$
$p^{2}+14 p+49$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.1.36
Simplify: $\frac{k^{2}-12 k+32}{k^{2}-64}$
$\frac{k-8}{k+4}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.0.4.47
Distribute: $-9 x(4-x)$
$-36 x+9 x^{2}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.3.4
Write the number in scientific notation: 1.09
$1.09 \times 10^{0}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.6.15
Solve the proportion: $\frac{3}{10}=\frac{a}{a+2}$
$a=\frac{6}{7}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.3.2.31
Solve the compound inequality and give interval notation: $2 x+9 \geqslant 10 x+1$ and $3 x-2<7 x+2$
$-1<x \leqslant 1:(-1,1]$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.4.31
Simplify: $\frac{\sqrt{2 p^{2}}}{\sqrt{3 p}}$
$\frac{\sqrt{6 p}}{3}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.4.28
Evaluate $\left(7+4 m+8 m^{4}\right)-\left(5 m^{4}+1+6 m\right)$.
$3 m^{4}-2 m+6$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.10.1
A merchant bought some pieces of silk for $\$ 900$. Had he bought 3 pieces more for the same money, he would have paid $\$ 15$ less for each piece. Find the number of pieces purchased.
12
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.10.4.19
Solve the equation: $9^{2 n+3}=243$
$-\frac{1}{4}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.2.5.11
Find the slope of a line perpendicular to the given line: $y=-\frac{1}{3} x$
3
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.0.1.19
Evaluate the expression: $(-8)-(-5)$
-3
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.4.11
Solve the equation: $\frac{3}{2}\left(\frac{7}{3} n+1\right)=\frac{3}{2}$
0
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.0.1.28
Evaluate the expression: $7-3$
4
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.2.4
Solve: $4 x^{3}-2=106$
3
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.1.35
Solve the equation: $13 a=-143$
-11
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.0.2.77
Evaluate the expression: $\left(-\frac{15}{8}\right)+\frac{5}{3}$
$-\frac{5}{24}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.2.34
Simplify the expression: $\frac{n-7}{n^{2}-2 n-35} \div \frac{9 n+54}{10 n+50}$
$\frac{10}{9(n+6)}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.8.43
An electrician cuts a $30$ ft piece of wire into two pieces. One piece is $2$ ft longer than the other. Find the lengths of the two pieces.
14,16
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.3.29
Build up each fraction by finding the Least Common Denominator: $\frac{4 x}{x^{2}-x-6}, \frac{x+2}{x-3}$
$\frac{4 x}{(x-3)(x+2)}, \frac{x^{2}+4 x+4}{(x-3)(x+2)}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.0.4.17
Evaluate using the given values: $k \times 3^{2}-(j+k)-5$; $j=4, k=5$
36
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.1.37
Simplify: $-8 \sqrt{180 x^{4} y^{2} z^{4}}$
$-48 x^{2} z^{2} y \sqrt{5}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.4.4.18
Solve the following systems of equation: $x+2 y-3 z=9$ $2 x-y+2 z=-8$ $3 x-y-4 z=3$
$(-1,2,-2)$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.6.3
Find the product: $(1+3 p)(1-3 p)$
$1-9 p^{2}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.4.13
Multiply and simplify: $(2+2 \sqrt{2})(-3+\sqrt{2})$
$-2-4 \sqrt{2}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.5.3
Solve the equation $\frac{f}{g} x=b$ for $\mathrm{x}$.
$x=\frac{\mathrm{gb}}{f}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.3.20
Simplify and write the answer in scientific notation: $\frac{7.2 \times 10^{-1}}{7.32 \times 10^{-1}}$
$9.836 \times 10^{-1}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.7.19
Divide: $\frac{10 x^{2}-32 x+9}{10 x-2}$
$x-3+\frac{3}{10 x-2}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.6.12
Solve the absolute value equation: $|9 p+6|=3$
$-\frac{1}{3},-1$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.4.32
Add or subtract the rational expressions and simplify: $\frac{4 x}{x^{2}-2 x-3}-\frac{3}{x^{2}-5 x+6}$
$\frac{4 x+1}{(x+1)(x-2)}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.10.6.5
Find the principal that will amount to $\$ 2500$ if invested at $5 \%$ interest compounded semiannually for 7.5 years.
1726.16
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.3.2.18
Solve the compound inequality and give interval notation: $1 \leqslant \frac{p}{8} \leqslant 0$
No solution : $\oslash$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.6.25
Simplify and express with positive exponents: $\frac{3 y^{-\frac{5}{4}}}{y^{-1} \cdot 2 y^{-\frac{1}{3}}}$
$\frac{3 y^{\frac{1}{12}}}{2}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.6.25
Solve the proportion: $\frac{2}{p+4}=\frac{p+5}{3}$
$p=-7,-2$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.7.23
Solve the equation for $x$: $\frac{3}{x+2}+\frac{x-1}{x+5}=\frac{5 x+20}{6 x+24}$
4,7
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.0.4.27
Combine Like Terms: $-7 x-2 x$
$-9 x$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.10.3.6
State if the given functions are inverses: $f(x)=\frac{x-5}{10}$ $h(x)=10 x+5$
Yes
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.5.24
Solve the equation $\mathrm{q}=6(L-p)$ for $\mathrm{L}$.
$L=\frac{q+6 p}{6}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.7.6
Divide: $\frac{5 p^{4}+16 p^{3}+16 p^{2}}{4 p}$
$\frac{5 p^{3}}{4}+4 p^{2}+4 p$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.5.9
Find the product: $(8 b+3)(7 b-5)$
$56 b^{2}-19 b-15$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.4.4.26
Solve the following systems of equation: $2 x+y=z$ $4 x+z=4 y$ $y=x+1$
$(1,2,4)$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.2.40
Solve the equation: $4+\frac{a}{3}=1$
-9
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.3.27
Solve: $n^{2}=-21+10 n$
7,3
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.10.5.34
Solve the equation: $\log _{7}-3 n=4$
$-\frac{2401}{3}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.6.27
Solve the following equation: $x^{8}-17 x^{4}+16=0$
$\pm 1, \pm i, \pm 2, \pm 2 i$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.10.17
The rate of a stream is 3 miles an hour. If a crew rows downstream for a distance of 8 miles and then back again, the round trip occupying 5 hours, what is the rate of the crew in still water?
$\mathrm{r}=5$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.2.15
Simplify. Your answer should contain only positive expontents: $\frac{u^{2}}{4 u^{0} v^{3} \cdot 3 v^{2}}$
$\frac{u^{2}}{12 v^{5}}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.1.40
Simplify: $\frac{2 x^{4} y^{5} \cdot 2 z^{10} x^{2} y^{7}}{\left(x y^{2} z^{2}\right)^{4}}$
$4 x^{2} y^{4} z^{2}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.10.4.26
Solve the equation: $625^{2 x}=25$
$\frac{1}{4}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.2.22
Simplify the expression: $\frac{2 r}{r+6} \div \frac{2 r}{7 r+42}$
7
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.10.3.3
State if the given functions are inverses: $f(x)=\frac{-x-1}{x-2}$ $g(x)=\frac{-2 x+1}{-x-1}$
Yes
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.6.26
Solve the proportion: $\frac{5}{n+1}=\frac{n-4}{10}$
$n=-6,9$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.6.22
Solve the absolute value equation: $3-|6 n+7|=-40$
$6,-\frac{25}{3}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.4.12
Add or subtract the rational expressions and simplify: $\frac{2 a-1}{3 a^{2}}+\frac{5 a+1}{9 a}$
$\frac{5 a^{2}+7 a-3}{9 a^{2}}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.9.11
The sum of the ages of a china plate and a glass plate is 16 years. Four years ago the china plate was three times the age of the glass plate. Find the present age of each plate.
10,6
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.2.2.14
Find the slope of the line through the points $(13,-2)$ and $(7,7)$.
$-\frac{3}{2}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.7.11
Solve the equation for $x$: $\frac{4-x}{1-x}=\frac{12}{3-x}$
$-5,0$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.0.4.71
Simplify: $5(1-6 k)+10(k-8)$
$-75-20 k$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.1.12
Simplify: $\left(3^{2}\right)^{3}$
$3^{6}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.8.46
Evaluate the expression: $\sqrt{-12} \sqrt{-2}$
$-2 \sqrt{6}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.4.24
Solve the equation: $-\frac{149}{16}-\frac{11}{3} r=-\frac{7}{4} r-\frac{5}{4}\left(-\frac{4}{3} r+1\right)$
$-\frac{9}{4}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.7.1
Reduce the following radical: $\sqrt[8]{16 x^{4} y^{6}}$
$\sqrt[4]{4 x^{2} y^{3}}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.7.3
Solve the equation for $x$: $x+\frac{20}{x-4}=\frac{5 x}{x-4}-2$
3
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.7.15
A page is to have a margin of 1 inch and is to contain $35 \mathrm{in}^{2}$ of painting. How large must the page be if the length is to exceed the width by 2 inches?
$7 \times 9$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.10.4.39
Solve the equation: $5^{-3 n-3} \cdot 5^{2 n}=1$
-3
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.5.33
Find a quadratic equation with the solutions $1 \pm 3 i$.
$x^{2}-2 x+10=0$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.1.11
State the excluded values for $\frac{10 m^{2}+8 m}{10 m}$
0
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.0.4.31
Combine Like Terms: $x-10-6 x+1$
$-5 x-9$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.1.14
Solve the equation: $\frac{5}{9}=\frac{b}{9}$
5
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.0.4.7
Evaluate using the given values: $5 j+\frac{k h}{2}$; $h=5, j=4, k=2$
25
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.5.12
Simplify: $\frac{5}{2 \sqrt{3}-\sqrt{2}}$
$\frac{2 \sqrt{3}+\sqrt{2}}{2}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.3.12
Find the Least Common Denominator: $5 x^{2} y, 25 x^{3} y^{5} z$
$25 x^{3} y^{5} z$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.3.7
Solve: $0=-8(p-5)$
5
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.6.29
Solve the absolute value equation: $-7+8|-7 x-3|=73$
$-\frac{13}{7}, 1$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.10.3.30
Find the inverse of the function: $f(x)=\frac{5 x-5}{4}$
$f^{-1}(x)=\frac{5+4 x}{5}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.7.33
Divide: $\frac{3 n^{3}+9 n^{2}-64 n-68}{n+6}$
$3 n^{2}-9 n-10-\frac{8}{n+6}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.4.43
Add or subtract the rational expressions and simplify: $\frac{2 x+7}{x^{2}-2 x-3}-\frac{3 x-2}{x^{2}+6 x+5}$
$\frac{-(x-29)}{(x-3)(x+5)}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.6.26
Solve the following equation: $8 x^{6}+7 x^{3}-1=0$
$\frac{1}{2},-1, \frac{-1 \pm i \sqrt{3}}{4}, \frac{1 \pm i \sqrt{3}}{2}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.3.9
Simplify: $2 \sqrt{2}-3 \sqrt{18}-\sqrt{2}$
$-8 \sqrt{2}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.5.40
Find the product: $3(2 x+3)(6 x+9)$
$36 x^{2}+108 x+81$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.1.26
Solve the equation: $3 n=24$
8
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.8.12
Tim can finish a certain job in 10 hours. It takes his wife JoAnn only 8 hours to do the same job. If they work together, how long will it take them to complete the job?
$4 \frac{4}{9}$ days
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.5.25
Simplify: $\frac{a+\sqrt{\mathrm{ab}}}{\sqrt{a}+\sqrt{b}}$
$\sqrt{a}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.4.5.15
A coin purse contains 18 coins in nickels and dimes. The coins have a total value of $\$ 1.15$. Find the number of nickels and dimes in the coin purse.
$13 \mathrm{n}, 5 \mathrm{~d}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.7.5.36
Simplify: $\frac{x^{-3}+y^{-3}}{x^{-2}-x^{-1} y^{-1}+y^{-2}}$
$\frac{x+y}{x y}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.0.3.22
Solve: $\frac{-9 \cdot 2-(3-6)}{1-(-2+1)-(-3)}$
-3
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.1.3
Solve: $\sqrt{6 x-5}-x=0$
1,5
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.4.10
Multiply and simplify: $5 \sqrt{15}(3 \sqrt{3}+2)$
$45 \sqrt{5}+10 \sqrt{15}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.5.9
Find a quadratic equation with the solutions $-4$ and 11.
$x^{2}-7 x-44=0$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.1.16
Simplify: $\sqrt{100 n^{3}}$
$10 n \sqrt{n}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.8.6.23
Simplify and express with positive exponents: $\frac{a^{\frac{3}{4}} b^{-1} \cdot b^{\frac{7}{4}}}{3 b^{-1}}$
$\frac{b^{\frac{7}{4}} a^{\frac{3}{4}}}{3}$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.9.5.8
Find a quadratic equation with the solutions $-2$ and $-5$.
$x^{2}+7 x+10=0$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.5.5.1
Find the product: $6(p-7)$
$6 p-42$
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
college_math.Beginning_and_Intermediate_Algebra
exercise.1.2.6
Solve the equation: $-4-b=8$
-12
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
college_math.algebra
README.md exists but content is empty.
Downloads last month
63