Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
10201	Expand the Logarithmic Expression	log of 7x^4	$\log (7 x^{4})$
10202	Simplify	square root of 49x^8	$\sqrt{49 x^{8}}$
10203	Simplify	square root of 49x^10	$\sqrt{49 x^{10}}$
10204	Add	(6-2i)+(11+6i)	$(6 - 2 i) + (11 + 6 i)$
10205	Solve for x	3=x+3y	$3 = x + 3 y$
10206	Simplify	cube root of 27r^15s^18	$\sqrt[3]{27 r^{15} s^{18}}$
10207	Simplify	cube root of -64x^12y^6	$\sqrt[3]{- 64 x^{12} y^{6}}$
10208	Simplify	fourth root of 16x^12	$\sqrt[4]{16 x^{12}}$
10209	Solve for x	y=-2-x+3	$y = - 2 - x + 3$
10210	Simplify	fourth root of 4	$\sqrt[4]{4}$
10211	Simplify	square root of 64z^2	$\sqrt{64 z^{2}}$
10212	Simplify	seventh root of x^3	$\sqrt[7]{x^{3}}$
10213	Find the Axis of Symmetry	f(x)=-(x+9)(x-21)	$f (x) = - (x + 9) (x - 21)$
10214	Simplify	(x+5)/(x^2-25)	$\frac{x + 5}{x^{2} - 25}$
10215	Simplify	cube root of -343x^3	$\sqrt[3]{- 343 x^{3}}$
10216	Write in Standard Form	x^2-10x+16=-5	$x^{2} - 10 x + 16 = - 5$
10217	Find the Domain and Range	f(x) = square root of x-7+9	$f (x) = \sqrt{x - 7} + 9$
10218	Divide Using Synthetic Division	(x^5+243)/(x+3)	$\frac{x^{5} + 243}{x + 3}$
10219	Convert to an Improper Fraction	1 1/4	$1 \frac{1}{4}$
10220	Convert to Interval Notation	\|(m-15)/5\|<16	$\| \frac{m - 15}{5} \| < 16$
10221	Divide	(x^7)/(x^4)	$\frac{x^{7}}{x^{4}}$
10222	Multiply	29*2	$29 \cdot 2$
10223	Divide	(25xy^4+60xy^3)/(5xy)	$\frac{25 x y^{4} + 60 x y^{3}}{5 x y}$
10224	Multiply	8(4)	$8 (4)$
10225	Multiply	0.5*0.5	$0.5 \cdot 0.5$
10226	Write in Slope-Intercept Form	x-y=2	$x - y = 2$
10227	Find the x and y Intercepts	x^2+y^2+8x-8y-17=0	$x^{2} + y^{2} + 8 x - 8 y - 17 = 0$
10228	Find the Inverse	y = log of x-4	$y = \log (x - 4)$
10229	Convert to Radical Form	x^(-9/8)	$x^{\frac{- 9}{8}}$
10230	Find the x and y Intercepts	7x-3y=21	$7 x - 3 y = 21$
10231	Add	7/(15x^3)+4/(3x)	$\frac{7}{15 x^{3}} + \frac{4}{3 x}$
10232	Write in Slope-Intercept Form	2x+3y=12	$2 x + 3 y = 12$
10233	Add	(-7p^3-4p^2q+q^2)+(p^3-6pq^2+5q^2)	$(- 7 p^{3} - 4 p^{2} q + q^{2}) + (p^{3} - 6 p q^{2} + 5 q^{2})$
10234	Write in Slope-Intercept Form	3x-5y=15	$3 x - 5 y = 15$
10235	Find the Roots (Zeros)	f(x)=(x-7)(4-x^2)	$f (x) = (x - 7) (4 - x^{2})$
10236	Write in Slope-Intercept Form	3x+5y=15	$3 x + 5 y = 15$
10237	Solve by Factoring	x- square root of 7-6x=-14	$x - \sqrt{7 - 6 x} = - 14$
10238	Expand the Logarithmic Expression	log of cube root of (xy^4)/(z^2)	$\log (\sqrt[3]{\frac{x y^{4}}{z^{2}}})$
10239	Solve by Factoring	6x^2+4x=0	$6 x^{2} + 4 x = 0$
10240	Find the Maximum/Minimum Value	y=-1+6cos((2pi)/7(x-5))	$y = - 1 + 6 \cos (\frac{2 π}{7} (x - 5))$
10241	Solve by Completing the Square	x^2+2x-12=0	$x^{2} + 2 x - 12 = 0$
10242	Find Where Undefined/Discontinuous	y=(x-5)/(x^2-6x+5)	$y = \frac{(x - 5)}{x^{2} - 6 x + 5}$
10243	Solve by Completing the Square	x^2+4x-21=0	$x^{2} + 4 x - 21 = 0$
10244	Subtract	(-9h^2-2hk+6k^2)-(5h^2+2hk+k^2)	$(- 9 h^{2} - 2 h k + 6 k^{2}) - (5 h^{2} + 2 h k + k^{2})$
10245	Solve by Completing the Square	x^2+4x=5	$x^{2} + 4 x = 5$
10246	Subtract	(8h^2-5hk+6k^2)-(-h^2+7hk-2k^2)	$(8 h^{2} - 5 h k + 6 k^{2}) - (- h^{2} + 7 h k - 2 k^{2})$
10247	Subtract	(11-7i)-(16-11i)	$(11 - 7 i) - (16 - 11 i)$
10248	Solve by Completing the Square	x^2+6x-1=0	$x^{2} + 6 x - 1 = 0$
10249	Find the Vertex	g(r)=r^2-6r-55	$g (r) = r^{2} - 6 r - 55$
10250	Divide Using Synthetic Division	(3x^3-3x^2-4x+3)÷(x+3)	$(3 x^{3} - 3 x^{2} - 4 x + 3) \div (x + 3)$
10251	Solve by Completing the Square	x^2+8x-9=0	$x^{2} + 8 x - 9 = 0$
10252	Find the Inverse	p(m)=m/5+8	$p (m) = \frac{m}{5} + 8$
10253	Solve by Completing the Square	x^2-12x+11=0	$x^{2} - 12 x + 11 = 0$
10254	Find the LCD	1/(3x-9y) , 6/(5x-15y)	$\frac{1}{3 x - 9 y}$ , $\frac{6}{5 x - 15 y}$
10255	Write in Standard Form	(9+i)/(9-i)	$\frac{9 + i}{9 - i}$
10256	Write as a Single Logarithm	natural log of 16- natural log of 8	$\ln (16) - \ln (8)$
10257	Write in Standard Form	(2+i)/(2-i)	$\frac{2 + i}{2 - i}$
10258	Write as a Single Logarithm	log of 8-2 log of 6+ log of 3	$\log (8) - 2 \log (6) + \log (3)$
10259	Solve by Completing the Square	2x^2-3x-17=0	$2 x^{2} - 3 x - 17 = 0$
10260	Solve Using the Square Root Property	(x-5)^2=25	${(x - 5)}^{2} = 25$
10261	Solve for r	a=p(1+rt)	$a = p (1 + r t)$
10262	Combine	2/5k-3/5+1/10k	$\frac{2}{5} k - \frac{3}{5} + \frac{1}{10} k$
10263	Solve for x	38^(2x)=109	$38^{2 x} = 109$
10264	Find the Roots (Zeros)	x^3-3x^2-4x+12=0	$x^{3} - 3 x^{2} - 4 x + 12 = 0$
10265	Convert to a Simplified Fraction	0.062	$0.062$
10266	Find the Roots (Zeros)	f(x)=x^3+2x^2-9x-18	$f (x) = x^{3} + 2 x^{2} - 9 x - 18$
10267	Convert to Scientific Notation	143000	$143000$
10268	Find the Roots (Zeros)	f(x)=x^3+4x^2+x-6	$f (x) = x^{3} + 4 x^{2} + x - 6$
10269	Convert to Logarithmic Form	0.25=2^-2	$0.25 = 2^{- 2}$
10270	Solve by Factoring	(x+1)^(3/2)-2=25	${(x + 1)}^{\frac{3}{2}} - 2 = 25$
10271	Convert to Logarithmic Form	5^(x+7)=14	$5^{x + 7} = 14$
10272	Find the Slope and y-intercept	2y=3x+12	$2 y = 3 x + 12$
10273	Solve by Factoring	15/x+(9x-7)/(x+2)=9	$\frac{15}{x} + \frac{9 x - 7}{x + 2} = 9$
10274	Solve Using the Quadratic Formula	2x^2-5x=4	$2 x^{2} - 5 x = 4$
10275	Solve Using the Quadratic Formula	3x^2-6x+8=0	$3 x^{2} - 6 x + 8 = 0$
10276	Determine if Odd, Even, or Neither	f(x)=-2x^4+3x^2	$f (x) = - 2 x^{4} + 3 x^{2}$
10277	Solve by Factoring	x^3-5x^2-9x+45=0	$x^{3} - 5 x^{2} - 9 x + 45 = 0$
10278	Expand Using the Binomial Theorem	(m+1/m)^6	${(m + \frac{1}{m})}^{6}$
10279	Solve by Factoring	x^4-52x^2+576=0	$x^{4} - 52 x^{2} + 576 = 0$
10280	Find the x and y Intercepts	f(x)=3x^2-2x-3	$f (x) = 3 x^{2} - 2 x - 3$
10281	Solve by Factoring	y^2-3y-10=0	$y^{2} - 3 y - 10 = 0$
10282	Find the Domain and Range	y=-5x^2+3x+10	$y = - 5 x^{2} + 3 x + 10$
10283	Solve by Factoring	x^2-2x=0	$x^{2} - 2 x = 0$
10284	Find the Domain and Range	y = natural log of x	$y = \ln (x)$
10285	Solve by Factoring	square root of x+72=x	$\sqrt{x + 72} = x$
10286	Find the Axis of Symmetry	f(x)=2x^2+8x+8	$f (x) = 2 x^{2} + 8 x + 8$
10287	Solve by Factoring	square root of 7-x=x-1	$\sqrt{7 - x} = x - 1$
10288	Solve by Factoring	x^3+2x^2+5x+10=0	$x^{3} + 2 x^{2} + 5 x + 10 = 0$
10289	Find the Discriminant	7x^2-3x+10=0	$7 x^{2} - 3 x + 10 = 0$
10290	Solve by Factoring	x^2-4x=21	$x^{2} - 4 x = 21$
10291	Solve by Factoring	x^2-7x=0	$x^{2} - 7 x = 0$
10292	Convert to Interval Notation	x/4-1/10<=x/5+1	$\frac{x}{4} - \frac{1}{10} \leq \frac{x}{5} + 1$
10293	Solve by Factoring	x^2+3x-18=0	$x^{2} + 3 x - 18 = 0$
10294	Convert to Interval Notation	x^2+x<20	$x^{2} + x < 20$
10295	Solve by Factoring	x^2-11x+24=0	$x^{2} - 11 x + 24 = 0$
10296	Solve by Factoring	x^2-13x+36=0	$x^{2} - 13 x + 36 = 0$
10297	Find the Domain and Range	f(x)=- log of 5-x+9	$f (x) = - \log (5 - x) + 9$
10298	Solve by Factoring	x^(2/3)=4	$x^{\frac{2}{3}} = 4$
10299	Find the Domain and Range	f(x) = log of x-4-3	$f (x) = \log (x - 4) - 3$
10300	Solve by Factoring	w^2-2w=15	$w^{2} - 2 w = 15$