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.1.4.13
|
Solve the equation: $-a-\frac{5}{4}\left(-\frac{8}{3} a+1\right)=-\frac{19}{4}$
|
$-\frac{3}{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.7.38
|
Simplify the following expression: $\frac{\sqrt[3]{x^{2}}}{\sqrt[5]{x}}$
|
$\sqrt[15]{x^{7}}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.1.37
|
Solve the equation: $\frac{p}{20}=-12$
|
-240
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.1.4
|
Solve: $\sqrt{x+2}-\sqrt{x}=2$
|
no solution
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.5.13
|
Evaluate the expression: $\log _{125} 5$
|
$\frac{1}{3}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.3.38
|
Simplify and write the answer in scientific notation: $\frac{5 \times 10^{6}}{6.69 \times 10^{2}}$
|
$7.474 \times 10^{3}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.2.38
|
Simplify: $-6 \sqrt[4]{80 m^{4} p^{7} q^{4}}$
|
$-12 m p q \sqrt[4]{5 p^{3}}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.3.7
|
Simplify: $3 \sqrt{6}+3 \sqrt{5}+2 \sqrt{5}$
|
$3 \sqrt{6}+5 \sqrt{5}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.3.28
|
Simplify: $-3 \sqrt[4]{4}+3 \sqrt[4]{324}+2 \sqrt[4]{64}$
|
$10 \sqrt[4]{4}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.2.56
|
Evaluate the expression: $\frac{1}{3}+\frac{5}{3}$
|
2
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.4.4.7
|
Solve the following systems of equation:
$x+y+z=6$
$2 x-y-z=-3$
$x-2 y+3 z=6$
|
$(1,2,3)$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.3.19
|
Simplify and write the answer in scientific notation: $\frac{4.9 \times 10^{1}}{2.7 \times 10^{-3}}$
|
$1.815 \times 10^{4}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.4.6.6
|
How many grams of pure acid must be added to 40 grams of a $20 \%$ acid solution to make a solution which is $36 \%$ acid?
|
10
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.4.4.27
|
Solve the following systems of equation:
$m+6 n+3 p=8$
$3 m+4 n=-3$
$5 m+7 n=1$
|
$(-25,18,-25)$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.2.5.14
|
Find the slope of a line perpendicular to the given line: $3 x-y=-3$
|
$-\frac{1}{3}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.6.15
|
Simplify and express with positive exponents: $\left(a^{\frac{1}{2}} b^{\frac{1}{2}}\right)^{-1}$
|
$\frac{1}{a^{\frac{1}{2}} b^{\frac{1}{2}}}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.5.35
|
Simplify: $\frac{2-\sqrt{5}}{-3+\sqrt{5}}$
|
$\frac{-1+\sqrt{5}}{4}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.4.5.18
|
A drawer contains $15 \mathbb{C}$ stamps and $18 \mathbb{C}$ stamps. The number of $15 \mathbb{C}$ stamps is four less than three times the number of $18 \mathbb{C}$ stamps. The total value of all the stamps is $\$ 1.29$. How many $15 \mathbb{C}$ stamps are in the drawer?
|
5 4.6
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.5.15
|
Simplify: $\frac{4}{3+\sqrt{5}}$
|
$3-\sqrt{5}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.4.5.22
|
A total of 26 bills are in a cash box. Some of the bills are one-dollar bills, and the rest are five-dollar bills. The total amount of cash in the box is $\$ 550$. Find the number of each type of bill in the cash box.
|
$20 \$ 1,6 \$ 5$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.3.52
|
Solve: $3 x^{2}-11 x=-18$
|
$\frac{11+i \sqrt{95}}{6}, \frac{11-i \sqrt{95}}{6}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.6.40
|
Solve the following equation: $\left(x^{2}+x+3\right)^{2}+15=8\left(x^{2}+x+3\right)$
|
$0, \pm 1,-2$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.1.30
|
Solve the equation: $n+8=10$
|
2
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.2.2.32
|
Given the points $(8, y)$ and $(-2,4)$ and a slope of $-\frac{1}{5}$, find the value of $y$.
|
2
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.3.2.13
|
Solve the compound inequality and give interval notation: $3 \leqslant 9+x \leqslant 7$
|
$-6 \leqslant x \leqslant-2:[-6,-2]$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.6.11
|
Solve the following equation: $z^{6}-216=19 z^{3}$
|
$-2,3,1 \pm i \sqrt{3}, \frac{-3 \pm i \sqrt{3}}{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.2.35
|
Simplify: $-3 \sqrt[3]{192 a b^{2}}$
|
$-12 \sqrt[3]{3 a b^{2}}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.8.30
|
The perimeter of a college basketball court is $96$ meters and the length is $14$ meters more than the width. Find the dimensions of the basketball court.
|
17,31
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.3.33
|
Find the inverse of the function: $h(x)=\frac{4-\sqrt[3]{4 x}}{2}$
|
$h^{-1}(x)=\frac{(-2 x+4)^{3}}{4}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.7.31
|
Divide: $\frac{x^{3}-26 x-41}{x+4}$
|
$x^{2}-4 x-10-\frac{1}{x+4}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.5.23
|
Find the product: $(r-7)\left(6 r^{2}-r+5\right)$
|
$6 r^{3}-43 r^{2}+12 r-35$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.8.47
|
Evaluate the expression: $47 \frac{3+\sqrt{-27}}{6}$
|
$\frac{1+i \sqrt{3}}{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.4.4.4
|
Solve the following systems of equation:
$x+y+z=2$
$6 x-4 y+5 z=31$
$5 x+2 y+2 z=13$
|
$(3,-2,1)$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.5.35
|
Solve the equation: $\log _{4}(6 b+4)=0$
|
$-\frac{1}{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.2.13
|
Simplify and leave your answer as an improper fraction: $\frac{63}{18}$
|
$\frac{7}{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.10.31
|
A truck leaves a depot at 11 A.M. and travels at a speed of $45 \mathrm{mph}$. At noon, a van leaves the same place and travels the same route at a speed of $65 \mathrm{mph}$. At what time does the van overtake the truck?
|
$2: 15$ PM
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.5.34
|
Simplify: $\frac{4 \sqrt{2}+3}{3 \sqrt{2}+\sqrt{3}}$
|
$\frac{24-4 \sqrt{6}+9 \sqrt{2}-3 \sqrt{3}}{15}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.6.32
|
Simplify and express with positive exponents: $\frac{\left(x^{\frac{1}{2}} y^{0}\right)^{-\frac{4}{3}}}{y^{4} \cdot x^{-2} y^{-\frac{2}{3}}}$
|
$\frac{x^{\frac{4}{3}}}{y^{\frac{10}{3}}}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.2.17
|
Simplify and leave your answer as an improper fraction: $\frac{72}{60}$
|
$\frac{6}{5}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.8.30
|
The largest single rough diamond ever found, the Cullinan diamond, weighed 3106 carats; how much does the diamond weigh in miligrams? in pounds?
|
$621,200 \mathrm{mg} ; 1.42 \mathrm{lb}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.4.29
|
Solve the equation: $6^{2-2 x}=6^{2}$
|
0
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.1.28
|
Simplify: $\sqrt{512 a^{4} b^{2}}$
|
$16 a^{2} b \sqrt{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.8.16
|
Find product: $(-i)(7 i)(4-3 i)$
|
$28-21 i$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.4.43
|
Distribute: $-6(1+6 x)$
|
$-6-36 x$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.4.12
|
Solve the equation: $216^{-3 v}=36^{3 v}$
|
0
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.2.36
|
Simplify: $3 \sqrt[3]{135 x y^{3}}$
|
$9 y \sqrt[3]{5 x}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.4.6
|
Simplify the expression $x^{4}-5 x^{3}-x+13$ when $x=5$.
|
8
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.5.40
|
Solve the equation: $\log _{8}(3 k-1)=1$
|
3
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.4.33
|
Add or subtract the rational expressions and simplify: $\frac{2 x}{x^{2}-1}-\frac{4}{x^{2}+2 x-3}$
|
$\frac{2 x+4}{x^{2}+4 x+3}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.3.51
|
Solve: $8 r^{2}+10 r=-55$
|
$\frac{-5+i \sqrt{415}}{8}, \frac{-5-i \sqrt{415}}{8}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.4.8
|
Solve the equation: $-\frac{16}{9}=-\frac{4}{3}\left(\frac{5}{3}+n\right)$
|
$-\frac{1}{3}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.4.4.22
|
Solve the following systems of equation:
$3 x+y-z=10$
$8 x-y-6 z=-3$
$5 x-2 y-5 z=1$
|
no solution
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.4.5.5
|
A boy has $\$ 2.25$ in nickels and dimes. If there are twice as many dimes as nickels, how many of each kind has he?
|
9,18
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.6.4
|
Solve the proportion: $\frac{8}{x}=\frac{4}{8}$
|
$x=16$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.1.11
|
Solve: $\sqrt{2 x+4}-\sqrt{x+3}=1$
|
6
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.4.19
|
Add or subtract the rational expressions and simplify: $\frac{8}{x^{2}-4}-\frac{3}{x+2}$
|
$\frac{14-3 x}{x^{2}-4}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.10.16
|
An automobile made a trip of 120 miles and then returned, the round trip occupying 7 hours. Returning, the rate was increased 10 miles an hour. Find the rate of each.
|
$30 \mathrm{mph}, 40 \mathrm{mph}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.8.1
|
Convert $7 \mathrm{mi}$ to yards.
|
$12320 \mathrm{yd}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.7.34
|
Divide: $\frac{k^{3}-4 k^{2}-6 k+4}{k-1}$
|
$k^{2}-3 k-9-\frac{5}{k-1}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.4.15
|
Evaluate $\left(8 n+n^{4}\right)-\left(3 n-4 n^{4}\right)$.
|
$5 n^{4}+5 n$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.4.33
|
Evaluate $\left(n-5 n^{4}+7\right)+\left(n^{2}-7 n^{4}-n\right)$.
|
$-12 n^{4}+n^{2}+7$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.3.13
|
Find the Least Common Denominator: $x^{2}-3 x, x-3, x$
|
$x(x-3)$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.4.30
|
Simplify: $\frac{4}{5 \sqrt{3 x y^{4}}}$
|
$\frac{4 \sqrt{3 x}}{16 x y^{2}}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.2.2.24
|
Find the slope of the line through the points $(8,11)$ and $(-3,-13)$.
|
$\frac{24}{11}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.2.13
|
Simplify the expression: $\frac{x-10}{35 x+21} \div \frac{7}{35 x+21}$
|
$\frac{x-10}{7}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.1.27
|
Simplify: $\sqrt{16 x^{3} y^{3}}$
|
$4 x y \sqrt{x y}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.5.12
|
Find the product: $(7 n-6)(n+7)$
|
$7 n^{2}+43 n-42$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.2.33
|
Simplify: $2 \sqrt[3]{375 u^{2} v^{8}}$
|
$10 v^{2} \sqrt[3]{3 u^{2} v^{2}}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.8.17
|
Convert $7.50 \mathrm{~T} / \mathrm{yd}^{2}$ (tons per square yard) to pounds per square inch.
|
$11.6 \mathrm{lb} / \mathrm{in}^{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.4.6.39
|
How many ounces of pure bran flakes must be added to 50 oz of cereal that is $40 \%$ bran flakes to produce a mixture that is $50 \%$ bran flakes?
|
10
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.5.16
|
Solve the equation $\mathrm{F}=\mathrm{k}(R-L)$ for $\mathrm{k}$.
|
$k=\frac{F}{R-L}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.8.6
|
Convert $4.5 \mathrm{ft}^{2}$ to square yards.
|
$0.5 \mathrm{yd}^{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.3.2.21
|
Solve the compound inequality and give interval notation: $-16 \leqslant 2 n-10 \leqslant-22$
|
No solution : $\oslash$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.2.17
|
Simplify: $\sqrt[5]{224 p^{5}}$
|
$2 p \sqrt[5]{7}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.5.17
|
Simplify: $-\frac{4}{4-4 \sqrt{2}}$
|
$1+\sqrt{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.7.1
|
Solve the equation for $x$: $3 x-\frac{1}{2}-\frac{1}{x}=0$
|
$-\frac{1}{2}, \frac{2}{3}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.6.24
|
Solve the following equation: $x^{6}-10 x^{3}+16=0$
|
$2, \sqrt[3]{2},-1 \pm i \sqrt{3}, \frac{-\sqrt[3]{2} \pm i \sqrt[6]{108}}{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.1.39
|
State the excluded values for $\frac{2 n^{2}+19 n-10}{9 n+90}$
|
$\frac{2 n-1}{9}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.7.17
|
Solve the equation for $x$: $\frac{x+1}{x-1}-\frac{x-1}{x+1}=\frac{5}{6}$
|
$-\frac{1}{5}, 5$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.6.24
|
Find the square: $(4 x-5)^{2}$
|
$16 x^{2}-40 x+25$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.5.31
|
Solve the equation: $\log _{5}(-3 m)=3$
|
$-\frac{125}{3}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.2.34
|
Simplify. Your answer should contain only positive expontents: $\frac{2 b^{4} c^{-2} \cdot\left(2 b^{3} c^{2}\right)^{-4}}{a^{-2} b^{4}}$
|
$\frac{a^{2}}{8 c^{10} b^{12}}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.4.34
|
Evaluate $\left(8 x^{2}+2 x^{4}+7 x^{3}\right)+\left(7 x^{4}-7 x^{3}+2 x^{2}\right)$.
|
$9 x^{2}+10 x^{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.2.37
|
Find quotient: $-2 \div \frac{7}{4}$
|
$-\frac{8}{7}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.2.16
|
Solve the equation: $-37=8+3 x$
|
-15
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.6.34
|
Solve the following equation: $(a+1)^{2}+2(a-1)=15$
|
$2,-6$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.4.64
|
Simplify: $-2 r(1+4 r)+8 r(-r+4)$
|
$30 r-16 r^{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.5.24
|
Find a quadratic equation with the solutions $\pm \sqrt{7}$.
|
$x^{2}-7=0$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.6.5
|
Solve the proportion: $\frac{6}{x}=\frac{8}{2}$
|
$x=\frac{3}{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.6.17
|
Simplify and express with positive exponents: $\frac{a^{2} b^{0}}{3 a^{4}}$
|
$\frac{1}{3 a^{2}}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.10.29
|
A bus traveling at a rate of $60 \mathrm{mph}$ overtakes a car traveling at a rate of 45 mph. If the car had a $1 \mathrm{~h}$ head start, how far from the starting point does the bus overtake the car?
|
180
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.8.5
|
Solve the equation: $x + x + 2x + 4x = -104$
|
-13
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.4.41
|
Distribute: $7 k(-k+6)$
|
$-7 k^{2}+42 k$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.4.4
|
Solve the equation: $\frac{3}{2} n-\frac{8}{3}=-\frac{29}{12}$
|
$\frac{1}{6}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.2.22
|
Simplify. Your answer should contain only positive expontents: $\frac{2 y^{2}}{\left(x^{4} y^{0}\right)^{-4}}$
|
$2 x^{16} y^{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.2.17
|
Solve the equation: $2=-12+2 r$
|
7
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.8.7
|
Solve the equation: $7x - 11 = 6x + 5$
|
16
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.3.22
|
Solve each equation by completing the square: $6 r^{2}+12 r-24=-6$
|
$1,-3$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.2.31
|
Simplify. Your answer should contain only positive expontents: $\frac{y\left(2 x^{4} y^{2}\right)^{2}}{2 x^{4} y^{0}}$
|
$2 y^{5} x^{4}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.5.18
|
Simplify: $\frac{4}{4 \sqrt{3}-\sqrt{5}}$
|
$\frac{16 \sqrt{3}+4 \sqrt{5}}{43}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.