Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
199401	Find the Product	(x^2+4y^2)(x^2-4y^2)	$(x^{2} + 4 y^{2}) (x^{2} - 4 y^{2})$
199402	Simplify	((a^2-4)/(x^2-9))÷((a^2-2a)/(xy+3y))+(2-y)/(x-3)	$\frac{a^{2} - 4}{x^{2} - 9} \div \frac{a^{2} - 2 a}{x y + 3 y} + \frac{2 - y}{x - 3}$
199403	Simplify	(x^2-1/x)/(1-1/x)	$\frac{x^{2} - \frac{1}{x}}{1 - \frac{1}{x}}$
199404	Solve for n	square root of 81=n^2	$\sqrt{81} = n^{2}$
199405	Solve for a	-4(5-2a)+3(a-4)=6(2-a)-5a	$- 4 (5 - 2 a) + 3 (a - 4) = 6 (2 - a) - 5 a$
199406	Factor	3/2u^2v^4-2 1/2u^3v^5+1/2u^4v^2	$\frac{3}{2} u^{2} v^{4} - 2 \frac{1}{2} u^{3} v^{5} + \frac{1}{2} u^{4} v^{2}$
199407	Write as a Single Logarithm	2 log of x+ log of x+2	$2 \log (x) + \log (x + 2)$
199408	Simplify	( square root of 56( square root of 28+ square root of 21- square root of 7))/( square root of 2)	$\frac{\sqrt{56} (\sqrt{28} + \sqrt{21} - \sqrt{7})}{\sqrt{2}}$
199409	Solve for θ	sin(theta)+cos(theta)*cot(theta)=2	$\sin (θ) + \cos (θ) \cdot \cot (θ) = 2$
199410	Solve for x	2+ square root of x+1- square root of x+5=0	$2 + \sqrt{x + 1} - \sqrt{x + 5} = 0$
199411	Solve for y	square root of (y-4)^2=5	$\sqrt{{(y - 4)}^{2}} = 5$
199412	Simplify	4/( fourth root of 8m^2)	$\frac{4}{\sqrt[4]{8 m^{2}}}$
199413	Solve for x	7x(4x^2+6)=4(7x^3+9x-12)	$7 x (4 x^{2} + 6) = 4 (7 x^{3} + 9 x - 12)$
199414	Simplify	square root of 14-2 square root of 13* square root of 14+2 square root of 13	$\sqrt{14 - 2 \sqrt{13}} \cdot \sqrt{14 + 2 \sqrt{13}}$
199415	Solve for x	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$
199416	Graph	y<4x+2 y<-1.5x-3	$y < 4 x + 2$ $y < - 1.5 x - 3$
199417	Simplify the Radical Expression	2 square root of 3+4 square root of 3-5 square root of 3	$2 \sqrt{3} + 4 \sqrt{3} - 5 \sqrt{3}$
199418	Solve for x	square root of 4(x-5)^2=40	$\sqrt{4 {(x - 5)}^{2}} = 40$
199419	Solve for b	-5 square root of b=-50	$- 5 \sqrt{b} = - 50$
199420	Solve for x	(x^2-1)/2-11x=11	$\frac{x^{2} - 1}{2} - 11 x = 11$
199421	Graph	y=x^2(x-1)	$y = x^{2} (x - 1)$
199422	Evaluate	1.195.43.12-5.41.19^2-1.935.4*1.19	$1.19 \cdot 5.4 \cdot 3.12 - 5.4 \cdot {1.19}^{2} - 1.93 \cdot 5.4 \cdot 1.19$
199423	Solve for x	(2x+9)/7+(5-2x)/5=2	$\frac{2 x + 9}{7} + \frac{5 - 2 x}{5} = 2$
199424	Simplify	-3/(- square root of 9)	$\frac{- 3}{- \sqrt{9}}$
199425	Simplify	square root of 10z^5-z^2 square root of 40z	$\sqrt{10 z^{5}} - z^{2} \sqrt{40 z}$
199426	Evaluate	(2^2y^-6)/(8^-1z^0x^-7)	$\frac{2^{2} y^{- 6}}{8^{- 1} z^{0} x^{- 7}}$
199427	Simplify	( square root of 11)/(- square root of 36)	$\frac{\sqrt{11}}{- \sqrt{36}}$
199428	Find the Complex Conjugate	square root of 3- square root of 2	$\sqrt{3} - \sqrt{2}$
199429	Solve for x	(1-2x)(1-3x)=(6x-1)x-1	$(1 - 2 x) (1 - 3 x) = (6 x - 1) x - 1$
199430	Simplify the Radical Expression	fourth root of 64	$\sqrt[4]{64}$
199431	Simplify	3 square root of 5y*8 square root of 10yz	$3 \sqrt{5 y} \cdot 8 \sqrt{10 y z}$
199432	Solve for c	1 1/4c=30	$1 \frac{1}{4} c = 30$
199433	Solve the System of Inequalities	y>x-5 y>=-2x	$y > x - 5$ $y \geq - 2 x$
199434	Simplify	square root of fourth root of 256	$\sqrt{\sqrt[4]{256}}$
199435	Solve for x	1000^1000=100^x	$1000^{1000} = 100^{x}$
199436	Graph	y<- square root of x+4-5	$y < - \sqrt{x + 4} - 5$
199437	Simplify	(15a^0b^2c^34)(3a^16b^-29c^0)	$(15 a^{0} b^{2} c^{34}) (3 a^{16} b^{- 29} c^{0})$
199438	Simplify the Radical Expression	-3 square root of 27-3 square root of 27-3 square root of 27	$- 3 \sqrt{27} - 3 \sqrt{27} - 3 \sqrt{27}$
199439	Simplify	cube root of (4x)/(5x^2)	$\sqrt[3]{\frac{4 x}{5 x^{2}}}$
199440	Simplify	(x^4)/(3 square root of x)	$\frac{x^{4}}{3 \sqrt{x}}$
199441	Solve for x	2 cube root of x-5>=3	$2 \sqrt[3]{x} - 5 \geq 3$
199442	Simplify the Radical Expression	fourth root of (k^16)/(16z^4)	$\sqrt[4]{\frac{k^{16}}{16 z^{4}}}$
199443	Simplify	4/(y+2)-3/(y-2)+12/(y^2-4)	$\frac{4}{y + 2} - \frac{3}{y - 2} + \frac{12}{y^{2} - 4}$
199444	Solve for x	(1/243)^(-x/3)=(1/9)^(-x/2+1)	${(\frac{1}{243})}^{- \frac{x}{3}} = {(\frac{1}{9})}^{- \frac{x}{2} + 1}$
199445	Solve for x	log base 7 of 5x+3=3	$\log_{7} (5 x) + 3 = 3$
199446	Write the Fraction in Simplest Form	( cube root of x^3)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{3}}}{\sqrt[5]{x^{2}}}$
199447	Simplify	(x^3+x^2y+xy^2+y^3)/(x^2+2xy+y^2)+(2xy)/(x+y)	$\frac{x^{3} + x^{2} y + x y^{2} + y^{3}}{x^{2} + 2 x y + y^{2}} + \frac{2 x y}{x + y}$
199448	Simplify	(5p)/(2q-p)+(10q)/(p-2q)	$\frac{5 p}{2 q - p} + \frac{10 q}{p - 2 q}$
199449	Evaluate	((4s^5t^-7)/(-2s^-2t^4))^3	${(\frac{4 s^{5} t^{- 7}}{- 2 s^{- 2} t^{4}})}^{3}$
199450	Evaluate	5x^3=1080	$5 x^{3} = 1080$
199451	Solve for s	2/5s=4 1/5	$\frac{2}{5} s = 4 \frac{1}{5}$
199452	Simplify	fourth root of 256(5x-2)^12	$\sqrt[4]{256 {(5 x - 2)}^{12}}$
199453	Simplify	3(m-4)-n(m-4)	$3 \cdot (m - 4) - n \cdot (m - 4)$
199454	Simplify	3 fourth root of 27x^3*2 fourth root of 3x^5	$3 \sqrt[4]{27 x^{3}} \cdot 2 \sqrt[4]{3 x^{5}}$
199455	Simplify	((2x^3)^2(3y^4)^3)/(12x^4y^5)	$\frac{{(2 x^{3})}^{2} {(3 y^{4})}^{3}}{12 x^{4} y^{5}}$
199456	Solve for x	(0.3x^2-3x)(5x^3-0.2x^2)=0	$(0.3 x^{2} - 3 x) (5 x^{3} - 0.2 x^{2}) = 0$
199457	Simplify	(-1/x)(1-x)/(1+x)x/(x^2-1)	$(- \frac{1}{x}) \cdot \frac{1 - x}{1 + x} \cdot \frac{x}{x^{2} - 1}$
199458	Simplify	y+x-4+5x-1+y-3	$y + x - 4 + 5 x - 1 + y - 3$
199459	Simplify	(2x-7y)/(2x^2y)-(5y-8x)/(5xy^2)	$\frac{2 x - 7 y}{2 x^{2} y} - \frac{5 y - 8 x}{5 x y^{2}}$
199460	Solve for x	2 1/3(2x-3)=2 1/3	$2 \frac{1}{3} (2 x - 3) = 2 \frac{1}{3}$
199461	Find the Product	((x+1)-y)^3	${((x + 1) - y)}^{3}$
199462	Simplify	(-2)^-3-24	${(- 2)}^{- 3} - 24$
199463	Solve for k	k=1+ square root of 3k-5	$k = 1 + \sqrt{3 k - 5}$
199464	Solve for x	3 2/7x=12/35	$3 \frac{2}{7} x = \frac{12}{35}$
199465	Simplify	(x+1)(x+2)(y-3)	$(x + 1) (x + 2) (y - 3)$
199466	Simplify	((2x^0)/(4x^-2y^4))^2	${(\frac{2 x^{0}}{4 x^{- 2} y^{4}})}^{2}$
199467	Simplify	square root of cube root of 125	$\sqrt{\sqrt[3]{125}}$
199468	Simplify	4r^-7s^-1*7r^-2s^5t^0	$4 r^{- 7} s^{- 1} \cdot 7 r^{- 2} s^{5} t^{0}$
199469	Simplify	2/(-4x+4 square root of 5x)	$\frac{2}{- 4 x + 4 \sqrt{5 x}}$
199470	Convert to Radical Form	(x+y)^(1/3)	${(x + y)}^{\frac{1}{3}}$
199471	Solve for x	2 square root of 3x+1=4x	$2 \sqrt{3 x + 1} = 4 x$
199472	Simplify	6 cube root of 25ab^2*5 cube root of 5a^2b	$6 \sqrt[3]{25 a b^{2}} \cdot 5 \sqrt[3]{5 a^{2} b}$
199473	Simplify	(-4x+2x^3-5)+(6x^2-3x+6x^3)+(13-2x^2+9x-8x^2)	$(- 4 x + 2 x^{3} - 5) + (6 x^{2} - 3 x + 6 x^{3}) + (13 - 2 x^{2} + 9 x - 8 x^{2})$
199474	Simplify	16/(x-4)-(x^2)/(x-4)	$\frac{16}{x - 4} - \frac{x^{2}}{x - 4}$
199475	Solve for p	p^2+p-90=0	$p^{2} + p - 90 = 0$
199476	Simplify	fourth root of (x^8)/(y^4)	$\sqrt[4]{\frac{x^{8}}{y^{4}}}$
199477	Solve for x	square root of (x-10)^2=x-10	$\sqrt{{(x - 10)}^{2}} = x - 10$
199478	Simplify	(b-c)/(a+b)-(ab-b^2)/(a^2-ac)*(a^2-c^2)/(a^2-b^2)	$\frac{b - c}{a + b} - \frac{a b - b^{2}}{a^{2} - a c} \cdot \frac{a^{2} - c^{2}}{a^{2} - b^{2}}$
199479	Simplify	square root of fourth root of 8^10	$\sqrt{\sqrt[4]{8^{10}}}$
199480	Simplify	(24a^5b^2)/((2ab)^4)	$\frac{24 a^{5} b^{2}}{{(2 a b)}^{4}}$
199481	Solve for x	x+ square root of x^2+3=3x	$x + \sqrt{x^{2} + 3} = 3 x$
199482	Solve for θ	cos(theta)+sin(theta)*tan(theta)=2	$\cos (θ) + \sin (θ) \cdot \tan (θ) = 2$
199483	Simplify	b/((a-b)^2)-(a+b)/(b^2-ab)	$\frac{b}{{(a - b)}^{2}} - \frac{a + b}{b^{2} - a b}$
199484	Find the Inverse	f(x)=4x^2 , x<=0	$f (x) = 4 x^{2}$ , $x \leq 0$
199485	Evaluate	(-16-8)/2+25÷5+1	$\frac{- 16 - 8}{2} + 25 \div 5 + 1$
199486	Simplify	2a^2b-5/2ab^2+7/12ab^2+5/6a^2b	$2 a^{2} b - \frac{5}{2} a b^{2} + \frac{7}{12} a b^{2} + \frac{5}{6} a^{2} b$
199487	Simplify	(sin(theta)^4-cos(theta)^4)/(sin(theta)cos(theta))	$\frac{\sin^{4} (θ) - \cos^{4} (θ)}{\sin (θ) \cos (θ)}$
199488	Simplify	((x^2-bx+ax-ab)/(x^2+bx-ax-ab))÷((x^2+bx+ax+ab)/(x^2-bx-ax+ab))	$\frac{x^{2} - b x + a x - a b}{x^{2} + b x - a x - a b} \div \frac{x^{2} + b x + a x + a b}{x^{2} - b x - a x + a b}$
199489	Simplify	(x^-3)(3x^-2)^-1	$(x^{- 3}) {(3 x^{- 2})}^{- 1}$
199490	Solve for x	2 3/5x=9/15	$2 \frac{3}{5} x = \frac{9}{15}$
199491	Evaluate	3x-4(2+x)=18	$3 x - 4 (2 + x) = 18$
199492	Simplify	12m+5-7d+3+6m-1+8d	$12 m + 5 - 7 d + 3 + 6 m - 1 + 8 d$
199493	Simplify	((2x^-3y^-2)^5)/((6x^-1y^-8)^2)	$\frac{{(2 x^{- 3} y^{- 2})}^{5}}{{(6 x^{- 1} y^{- 8})}^{2}}$
199494	Solve for x	(x+ square root of 3)^2-(x- square root of 3)^2=8 square root of 3	${(x + \sqrt{3})}^{2} - {(x - \sqrt{3})}^{2} = 8 \sqrt{3}$
199495	Simplify	(ab^2-a^2b)/(ab)*(a^2b^2)/(a-b)	$\frac{a b^{2} - a^{2} b}{a b} \cdot \frac{a^{2} b^{2}}{a - b}$
199496	Simplify	(49^(3/8)*49^(7/8))/(7^(5/4))	$\frac{49^{\frac{3}{8}} \cdot 49^{\frac{7}{8}}}{7^{\frac{5}{4}}}$
199497	Graph	g(x)=F(x)-3	$g (x) = F (x) - 3$
199498	Simplify	(- square root of 36)/( square root of 64)	$\frac{- \sqrt{36}}{\sqrt{64}}$
199499	Simplify	((3-4i)/5)^-1	${(\frac{3 - 4 i}{5})}^{- 1}$
199500	Simplify	7a^4b*(-3a^5b^6)^2	$7 a^{4} b \cdot {(- 3 a^{5} b^{6})}^{2}$