Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
207301	Solve for x	3^x+3^(3-x)=12	$3^{x} + 3^{3 - x} = 12$
207302	Simplify	12/(4^(3/2))	$\frac{12}{4^{\frac{3}{2}}}$
207303	Solve for x	1-5/(x+2)=7/(x^2-7x-18)	$1 - \frac{5}{x + 2} = \frac{7}{x^{2} - 7 x - 18}$
207304	Solve for x	2sin(x)cos(x) = square root of 2cos(x)	$2 \sin (x) \cos (x) = \sqrt{2} \cos (x)$
207305	Simplify	square root of 3/2+ square root of 24	$\sqrt{\frac{3}{2}} + \sqrt{24}$
207306	Solve for y	(4x+6y)/3=y+15	$\frac{4 x + 6 y}{3} = y + 15$
207307	Write in Standard Form	x^2-14x+49+y^2+4y=0	$x^{2} - 14 x + 49 + y^{2} + 4 y = 0$
207308	Solve for x	(x+4)(x-5)+3=0	$(x + 4) (x - 5) + 3 = 0$
207309	Solve for n	3+ square root of n=13	$3 + \sqrt{n} = 13$
207310	Solve for h	3h^2=h^2+18	$3 h^{2} = h^{2} + 18$
207311	Solve for r	15+10r-9=-7r-11	$15 + 10 r - 9 = - 7 r - 11$
207312	Find the Exact Value	arctan(cos(0))	$\arctan (\cos (0))$
207313	Simplify	(2 square root of 7+3)(2 square root of 7-3)	$(2 \sqrt{7} + 3) (2 \sqrt{7} - 3)$
207314	Rationalize the Denominator	( square root of 3xy^2)/( square root of 5xy^3)	$\frac{\sqrt{3 x y^{2}}}{\sqrt{5 x y^{3}}}$
207315	Factor	y=x^3-4x^2+x+6	$y = x^{3} - 4 x^{2} + x + 6$
207316	Solve by Factoring	4x^4-14x^2+12=0	$4 x^{4} - 14 x^{2} + 12 = 0$
207317	Solve for x	2cos(x)tan(x)=2cos(x)	$2 \cos (x) \tan (x) = 2 \cos (x)$
207318	Solve for k	1/3k+1/4k=1	$\frac{1}{3} k + \frac{1}{4} k = 1$
207319	Solve for b	d=2ab-c	$d = 2 a b - c$
207320	Evaluate	(cos(arcsec(3)+arctan(2)))/(cos(arctan(2)))	$\frac{\cos (arcsec (3) + \arctan (2))}{\cos (\arctan (2))}$
207321	Evaluate	2/3(0)^(3/2)	$\frac{2}{3} {(0)}^{\frac{3}{2}}$
207322	Solve for n	(5n-6)^(1/3)=1	${(5 n - 6)}^{\frac{1}{3}} = 1$
207323	Simplify the Radical Expression	4 square root of 3*3 square root of 3	$4 \sqrt{3} \cdot 3 \sqrt{3}$
207324	Simplify	3x^2y+4x-6y+4x^2y-2y	$3 x^{2} y + 4 x - 6 y + 4 x^{2} y - 2 y$
207325	Find the Degree, Leading Term, and Leading Coefficient	-3x^4+7x-1/5-x^3	$- 3 x^{4} + 7 x - \frac{1}{5} - x^{3}$
207326	Solve for x	(x^2+x)/x=x+1	$\frac{x^{2} + x}{x} = x + 1$
207327	Simplify	(x^2y)^0	${(x^{2} y)}^{0}$
207328	Find the Exact Value	2cos((3pi)/4)-4sin((7pi)/6)	$2 \cos (\frac{3 π}{4}) - 4 \sin (\frac{7 π}{6})$
207329	Simplify	20/(5 square root of 7-2 square root of 5)	$\frac{20}{5 \sqrt{7} - 2 \sqrt{5}}$
207330	Simplify	((-3xy^3)^2)/((2xy)*(6y^3))	$\frac{{(- 3 x y^{3})}^{2}}{(2 x y) \cdot (6 y^{3})}$
207331	Simplify	fourth root of 16x^2* square root of 121x^3	$\sqrt[4]{16 x^{2}} \cdot \sqrt{121 x^{3}}$
207332	Evaluate	(2a^-4)/(5b^-2)	$\frac{2 a^{- 4}}{5 b^{- 2}}$
207333	Solve for l	s=(2w+2h)l+2wh	$s = (2 w + 2 h) l + 2 w h$
207334	Solve for x	square root of 4x-4 = square root of 9x+27	$\sqrt{4 x} - 4 = \sqrt{9 x + 27}$
207335	Solve for x	3x(x+1)(2x-7)(3x+4)^2(x-13)(x+7)=0	$3 x (x + 1) (2 x - 7) {(3 x + 4)}^{2} (x - 13) (x + 7) = 0$
207336	Simplify	24p^3-15p^2+3p-15p^3+13p^2-7p	$24 p^{3} - 15 p^{2} + 3 p - 15 p^{3} + 13 p^{2} - 7 p$
207337	Find the Exact Value	csc(pi/2)+cot(pi/2)	$\csc (\frac{π}{2}) + \cot (\frac{π}{2})$
207338	Solve for x	square root of 2x-1- square root of x+8=0	$\sqrt{2 x - 1} - \sqrt{x + 8} = 0$
207339	Evaluate	(90+2)÷4-(8+3)	$(90 + 2) \div 4 - (8 + 3)$
207340	Subtract	(z^4+5z^2-2z)-(z^2+3z^4-z-6)	$(z^{4} + 5 z^{2} - 2 z) - (z^{2} + 3 z^{4} - z - 6)$
207341	Find the Axis of Symmetry	y^2=x+1	$y^{2} = x + 1$
207342	Simplify	((25x^4)/(16y^6))^(-1/2)	${(\frac{25 x^{4}}{16 y^{6}})}^{- \frac{1}{2}}$
207343	Divide	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
207344	Evaluate the Function	f(x)=3x^2-4x+2 at x=2	$f (x) = 3 x^{2} - 4 x + 2$ at $x = 2$
207345	Solve for t	m=(t+1)/(t-3)	$m = \frac{t + 1}{t - 3}$
207346	Simplify	((x^2)/z)^3((6z^3y)/(2y^2))+ square root of (4^0)/(z^4)	${(\frac{x^{2}}{z})}^{3} (\frac{6 z^{3} y}{2 y^{2}}) + \sqrt{\frac{4^{0}}{z^{4}}}$
207347	Simplify	3/(2 square root of 2* square root of 3)	$\frac{3}{2 \sqrt{2} \cdot \sqrt{3}}$
207348	Graph	11-5/2x>0	$11 - \frac{5}{2} x > 0$
207349	Divide	(x^3+x^2-x-1)÷(x^2+2x+1)	$(x^{3} + x^{2} - x - 1) \div (x^{2} + 2 x + 1)$
207350	Evaluate	sixth root of 8r^3	$\sqrt[6]{8 r^{3}}$
207351	Divide Using Synthetic Division	x^3+5x^2+x-10 by x+2	$x^{3} + 5 x^{2} + x - 10$ by $x + 2$
207352	Simplify the Radical Expression	square root of 2a+2 square root of 8a^3+2a square root of 1/2a	$\sqrt{2 a} + 2 \sqrt{8 a^{3}} + 2 a \sqrt{\frac{1}{2} a}$
207353	Evaluate	-( sixth root of 64)^5	$- {(\sqrt[6]{64})}^{5}$
207354	Evaluate	fourth root of n+2=3	$\sqrt[4]{n + 2} = 3$
207355	Simplify	15t(10y^3t^5+5y^2t)-2y(yt^2+4y^2)	$15 t (10 y^{3} t^{5} + 5 y^{2} t) - 2 y (y t^{2} + 4 y^{2})$
207356	Solve for x	25- fourth root of x=22	$25 - \sqrt[4]{x} = 22$
207357	Simplify	(12a^3-3a)/(12a^3+6a^2)	$\frac{12 a^{3} - 3 a}{12 a^{3} + 6 a^{2}}$
207358	Simplify the Radical Expression	fourth root of 1/8	$\sqrt[4]{\frac{1}{8}}$
207359	Graph	y>=-(x+2)^2-4	$y \geq - {(x + 2)}^{2} - 4$
207360	Divide	-9÷(-6/7)	$- 9 \div (- \frac{6}{7})$
207361	Solve by Addition/Elimination	-4x-y=-28 x+y=4	$- 4 x - y = - 28$ $x + y = 4$
207362	Find the GCF	3x^3y^2-9xz^4+8y^2z	$3 x^{3} y^{2} - 9 x z^{4} + 8 y^{2} z$
207363	Solve the Inequality for x	x+30>3x	$x + 30 > 3 x$
207364	Solve for x	(-3-4x)^(1/2)-(-2-2x)^(1/2)=1	${(- 3 - 4 x)}^{\frac{1}{2}} - {(- 2 - 2 x)}^{\frac{1}{2}} = 1$
207365	Solve for x	(4/9)^x(27/8)^(x-1)=(2/3)	${(\frac{4}{9})}^{x} {(\frac{27}{8})}^{x - 1} = (\frac{2}{3})$
207366	Find the x and y Intercepts	f(x)=4 log base 1/3 of x+2	$f (x) = 4 \log_{\frac{1}{3}} (x + 2)$
207367	Graph Using a Table of Values	y=1/2(3)^x	$y = \frac{1}{2} {(3)}^{x}$
207368	Simplify	square root of (x^6)/(y^7)	$\sqrt{\frac{x^{6}}{y^{7}}}$
207369	Simplify	2b^(1/2)(3b^(1/2)c^(1/3))^2	$2 b^{\frac{1}{2}} {(3 b^{\frac{1}{2}} c^{\frac{1}{3}})}^{2}$
207370	Factor	-8x+16+8x^3-31x^2	$- 8 x + 16 + 8 x^{3} - 31 x^{2}$
207371	Find the Roots (Zeros)	(x+10)^5=70	${(x + 10)}^{5} = 70$
207372	Simplify	(-4i^3)^2	${(- 4 i^{3})}^{2}$
207373	Evaluate	9^(x-8)=3^(4x-12)	$9^{x - 8} = 3^{4 x - 12}$
207374	Simplify	(x^2y^4)^(1/2) square root of x^4	${(x^{2} y^{4})}^{\frac{1}{2}} \sqrt{x^{4}}$
207375	Simplify	square root of 2a^3b^3* cube root of 4ab^2	$\sqrt{2 a^{3} b^{3}} \cdot \sqrt[3]{4 a b^{2}}$
207376	Simplify	(q^7*q^-3)^(5/4)	${(q^{7} \cdot q^{- 3})}^{\frac{5}{4}}$
207377	Simplify	(1+i)^-2	${(1 + i)}^{- 2}$
207378	Solve for x	Solve 1/36=6^(x-3)	Solve $\frac{1}{36} = 6^{x - 3}$
207379	Simplify	(3a+12b)/(6ab)	$\frac{3 a + 12 b}{6 a b}$
207380	Simplify	(k2/5)(k6/7)	$(k \frac{2}{5}) (k \frac{6}{7})$
207381	Simplify	((3x-2)^6)/((3x-2)^4)	$\frac{{(3 x - 2)}^{6}}{{(3 x - 2)}^{4}}$
207382	Solve for x	4 = square root of 25-x^2	$4 = \sqrt{25 - x^{2}}$
207383	Simplify	(4a)/(a^2)-7/(8a)	$\frac{4 a}{a^{2}} - \frac{7}{8 a}$
207384	Simplify	(x^-2y^-3)^2*2xy^2	${(x^{- 2} y^{- 3})}^{2} \cdot 2 x y^{2}$
207385	Factor	6x^4y+6x^2-8x^3y	$6 x^{4} y + 6 x^{2} - 8 x^{3} y$
207386	Solve for x	14+3x=2+5x+4	$14 + 3 x = 2 + 5 x + 4$
207387	Find the Degree	9y^5+y-3y^3	$9 y^{5} + y - 3 y^{3}$
207388	Find the Degree, Leading Term, and Leading Coefficient	(x^2)/5+1-x^5	$\frac{x^{2}}{5} + 1 - x^{5}$
207389	Convert to Radical Form	(2x^2-6)^(1/2)	${(2 x^{2} - 6)}^{\frac{1}{2}}$
207390	Find the Domain and Range	y=(2x-1)/(2-x)	$y = \frac{2 x - 1}{2 - x}$
207391	Solve for x	2 square root of 4x-1=8	$2 \sqrt{4 x - 1} = 8$
207392	Solve the Inequality for m	-4m>=-4	$- 4 m \geq - 4$
207393	Simplify	( square root of 8)( square root of 1/2)	$(\sqrt{8}) (\sqrt{\frac{1}{2}})$
207394	Solve for x	1 1/2x=7 1/2	$1 \frac{1}{2} x = 7 \frac{1}{2}$
207395	Multiply	(x+ square root of 5)(x+ square root of 5)	$(x + \sqrt{5}) (x + \sqrt{5})$
207396	Solve for x	-4/(x+3)-6/(x-3)=1/(x^2-9)	$- \frac{4}{x + 3} - \frac{6}{x - 3} = \frac{1}{x^{2} - 9}$
207397	Simplify the Radical Expression	(2 cube root of 3)^3	${(2 \sqrt[3]{3})}^{3}$
207398	Simplify	(x^2-25)/(3-x)*(x-3)/(x+5)	$\frac{x^{2} - 25}{3 - x} \cdot \frac{x - 3}{x + 5}$
207399	Solve by Graphing	y=3x+5 and y=2x+4	$y = 3 x + 5$ and $y = 2 x + 4$
207400	Evaluate	(x+8)^3=525	${(x + 8)}^{3} = 525$