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 |