Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
173301	Solve for n	2n=n+3	$2 n = n + 3$
173302	Graph	(x+1)^2=-1/2(y-2)	${(x + 1)}^{2} = - \frac{1}{2} (y - 2)$
173303	Solve for x	5-(3x+2)/(x+10)=x	$5 - \frac{3 x + 2}{x + 10} = x$
173304	Simplify	(8 square root of x^7-6 square root of x^5)/(2 square root of x^3)	$\frac{8 \sqrt{x^{7}} - 6 \sqrt{x^{5}}}{2 \sqrt{x^{3}}}$
173305	Solve for c	\|c+4\|<5	$\| c + 4 \| < 5$
173306	Solve the Inequality for z	z/4<=12	$\frac{z}{4} \leq 12$
173307	Evaluate	4(x+h)^2	$4 {(x + h)}^{2}$
173308	Solve for h	3h-5h+11=17	$3 h - 5 h + 11 = 17$
173309	Simplify	(2x+12)/(2x^2+14x+12)	$\frac{2 x + 12}{2 x^{2} + 14 x + 12}$
173310	Solve for x	(2x+1)/6-(x-3)/3=(4x-1)/3+(x-6)/2	$\frac{2 x + 1}{6} - \frac{x - 3}{3} = \frac{4 x - 1}{3} + \frac{x - 6}{2}$
173311	Solve for x	x-3/2y=-12	$x - \frac{3}{2} y = - 12$
173312	Solve for x	1/(x^2)=1/(6x^2)+1/(6x)	$\frac{1}{x^{2}} = \frac{1}{6 x^{2}} + \frac{1}{6 x}$
173313	Solve for x	-96=3(8x)^(5/3)	$- 96 = 3 {(8 x)}^{\frac{5}{3}}$
173314	Simplify	(x^2-3)-(-3x^2+5)	$(x^{2} - 3) - (- 3 x^{2} + 5)$
173315	Find the Standard Form of the Parabola	f(x)=7-3x+2x^2	$f (x) = 7 - 3 x + 2 x^{2}$
173316	Evaluate	(-3+3)^2	${(- 3 + 3)}^{2}$
173317	Solve for R	24+12R>=100	$24 + 12 R \geq 100$
173318	Solve for x	square root of 2x+4+1>=5	$\sqrt{2 x + 4} + 1 \geq 5$
173319	Solve the System of Equations	y=2x-5 -8x-4y=-20	$y = 2 x - 5$ $- 8 x - 4 y = - 20$
173320	Simplify	7a^2+10a-3a-2a^2	$7 a^{2} + 10 a - 3 a - 2 a^{2}$
173321	Graph	square root of \|x\|	$\sqrt{\| x \|}$
173322	Simplify	(4a^3b^2-a^2b^2+2ab)-(3a^2b^3-a^2b^2-3ab)	$(4 a^{3} b^{2} - a^{2} b^{2} + 2 a b) - (3 a^{2} b^{3} - a^{2} b^{2} - 3 a b)$
173323	Simplify	5/(-i)	$\frac{5}{- i}$
173324	Simplify	square root of 4- square root of -98- square root of 144+ square root of -128	$\sqrt{4} - \sqrt{- 98} - \sqrt{144} + \sqrt{- 128}$
173325	Solve for x	x^2-4x+2=-2x+5	$x^{2} - 4 x + 2 = - 2 x + 5$
173326	Expand the Logarithmic Expression	log of (x cube root of z^4)/y	$\log (\frac{x \sqrt[3]{z^{4}}}{y})$
173327	Find the Parabola with Focus (-2,5) and Directrix y=3	(-2,5) y=3	$(- 2, 5)$ $y = 3$
173328	Simplify	8/(3x^2)+5/(4x)	$\frac{8}{3 x^{2}} + \frac{5}{4 x}$
173329	Solve for b	2bh=v	$2 b h = v$
173330	Find the x and y Intercepts	f(x)=-4/(x^2-3x)	$f (x) = - \frac{4}{x^{2} - 3 x}$
173331	Graph	f(x)=x/((x-1)(x+1))	$f (x) = \frac{x}{(x - 1) (x + 1)}$
173332	Solve for m	-7(m-9)-2m=12	$- 7 (m - 9) - 2 m = 12$
173333	Solve the System of Inequalities	6b<24 or 4b+12>4	$6 b < 24$ or $4 b + 12 > 4$
173334	Factor	a^2b+2ab-a-2	$a^{2} b + 2 a b - a - 2$
173335	Evaluate	3(10-(4-9)+15÷3-2(7+10))-6	$3 (10 - (4 - 9) + 15 \div 3 - 2 (7 + 10)) - 6$
173336	Solve by Factoring	11r+15=-2r^2	$11 r + 15 = - 2 r^{2}$
173337	Expand the Logarithmic Expression	log of (x cube root of z^2)/(y^5)	$\log (\frac{x \sqrt[3]{z^{2}}}{y^{5}})$
173338	Find the Product	-7(-a^2)^2(-b^3)	$- 7 {(- a^{2})}^{2} (- b^{3})$
173339	Simplify	(3xy^3)/(x^3y)*y/(6x)	$\frac{3 x y^{3}}{x^{3} y} \cdot \frac{y}{6 x}$
173340	Convert to a Decimal	-225deg	$- 225$ degrees
173341	Multiply	-1/2*0	$- \frac{1}{2} \cdot 0$
173342	Solve for r	F=G(mM)/(r^2)	$F = G \frac{m M}{r^{2}}$
173343	Solve the System of Inequalities	4x+3<7 or 3x-8>7	$4 x + 3 < 7$ or $3 x - 8 > 7$
173344	Simplify	5+4*(8-6)^2	$5 + 4 \cdot {(8 - 6)}^{2}$
173345	Solve for c	a-b+cd=e	$a - b + c d = e$
173346	Find the Domain and Range	y=2e^(-x)-3	$y = 2 e^{- x} - 3$
173347	Find the Exact Value	((8)(-7)(6))/((-4)(-2)(-3))	$\frac{(8) (- 7) (6)}{(- 4) (- 2) (- 3)}$
173348	Simplify	natural log of e^(2x)	$\ln (e^{2 x})$
173349	Combine Like Terms	(8n^2+3n^7)(8n^2-3n^7)	$(8 n^{2} + 3 n^{7}) (8 n^{2} - 3 n^{7})$
173350	Solve the Inequality for x	x^2<=2x+2	$x^{2} \leq 2 x + 2$
173351	Solve for c	-2x^3(cx^3+x^2)=-10x^6-2x^5	$- 2 x^{3} (c x^{3} + x^{2}) = - 10 x^{6} - 2 x^{5}$
173352	Evaluate	8*6+(12-4)÷2	$8 \times 6 + (12 - 4) \div 2$
173353	Simplify	(2c^2+9c)/(4c^2-1)-5/(4c^2-1)	$\frac{2 c^{2} + 9 c}{4 c^{2} - 1} - \frac{5}{4 c^{2} - 1}$
173354	Simplify	(11x^2-11m^2)/(2x^2+4xm+2m^2)	$\frac{11 x^{2} - 11 m^{2}}{2 x^{2} + 4 x m + 2 m^{2}}$
173355	Factor	P(x)=x^3-3x-2	$P (x) = x^{3} - 3 x - 2$
173356	Solve the Rational Equation for x	square root of 4-3x=x	$\sqrt{4 - 3 x} = x$
173357	Find the Inverse	h(x)=(5+x)/(4-2x)	$h (x) = \frac{5 + x}{4 - 2 x}$
173358	Solve for x	2x-8+11=x+10	$2 x - 8 + 11 = x + 10$
173359	Find the Domain and Range	f(x) = square root of 3x-12+2	$f (x) = \sqrt{3 x - 12} + 2$
173360	Solve the Inequality for x	(4-x)^2(x-9/2)<0	${(4 - x)}^{2} (x - \frac{9}{2}) < 0$
173361	Solve for p	5(4x+p)=w	$5 (4 x + p) = w$
173362	Find the Holes in the Graph	f(x)=(x^2+2x-35)/(3x-15)	$f (x) = \frac{x^{2} + 2 x - 35}{3 x - 15}$
173363	Solve for a	8a-(1+5a)=4(3a-11)-20	$8 a - (1 + 5 a) = 4 (3 a - 11) - 20$
173364	Simplify	(2x^2+3)(4x+5)-8x(x^2-2)	$(2 x^{2} + 3) (4 x + 5) - 8 x (x^{2} - 2)$
173365	Solve the System of Equations	x+y=2 y=x^2-6x+8	$x + y = 2$ $y = x^{2} - 6 x + 8$
173366	Simplify	c(4+3c)-0.75(c+3)	$c (4 + 3 c) - 0.75 (c + 3)$
173367	Solve for x	6(x+1)-5x=8+2(x-1)	$6 (x + 1) - 5 x = 8 + 2 (x - 1)$
173368	Find the Domain and Range	f(x)=- square root of 5-x-3	$f (x) = - \sqrt{5 - x} - 3$
173369	Evaluate	g(r)=25-3r	$g (r) = 25 - 3 r$
173370	Solve for a	square root of a+9=-3-a	$\sqrt{a + 9} = - 3 - a$
173371	Solve for x	3(x-3)+8x=5(2x+1)	$3 (x - 3) + 8 x = 5 (2 x + 1)$
173372	Write in Exponential Form	cube root of X^6	$\sqrt[3]{X^{6}}$
173373	Solve for x	-4+ square root of -1-65x=4	$- 4 + \sqrt{- 1 - 65 x} = 4$
173374	Solve for x	sin(x)+1=cos(x)	$\sin (x) + 1 = \cos (x)$
173375	Solve for x	log base 2 of 8x-4 log base 2 of 4=0	$\log_{2} (8 x) - 4 \log_{2} (4) = 0$
173376	Find the Roots (Zeros)	-x^3-3x^2=6x+4	$- x^{3} - 3 x^{2} = 6 x + 4$
173377	Graph	f(x)=1+x if x<0; x^2 if x>=0	$f (x) = {\begin{cases} 1 + x & x < 0 \\ x^{2} & x \geq 0 \end{cases}$
173378	Solve for x	(10x+25)/(3x+12)=(5x)/(x+4)	$\frac{10 x + 25}{3 x + 12} = \frac{5 x}{x + 4}$
173379	Simplify	((2x+10)(x^2+x-6))/(4x^2+12x-40)	$\frac{(2 x + 10) (x^{2} + x - 6)}{4 x^{2} + 12 x - 40}$
173380	Solve the System of Inequalities	4x-10>=22 or x-5<-6	$4 x - 10 \geq 22$ or $x - 5 < - 6$
173381	Graph	-6>-2/3y	$- 6 > - \frac{2}{3} y$
173382	Simplify	square root of 121- square root of 21	$\sqrt{121} - \sqrt{21}$
173383	Solve the Inequality for x	1/x+1/3<1/5	$\frac{1}{x} + \frac{1}{3} < \frac{1}{5}$
173384	Simplify	(-6a^3b+2ab^2)(5a^2-2ab^2-b)	$(- 6 a^{3} b + 2 a b^{2}) (5 a^{2} - 2 a b^{2} - b)$
173385	Solve for x	cos(x)^2-1/2=0	$\cos^{2} (x) - \frac{1}{2} = 0$
173386	Evaluate	4/3pi*11^3	$\frac{4}{3} π \cdot 11^{3}$
173387	Subtract	(7x^4-9x^3-4x^2+5x+6)-(2x^4+3x^3-x^2+x-4)	$(7 x^{4} - 9 x^{3} - 4 x^{2} + 5 x + 6) - (2 x^{4} + 3 x^{3} - x^{2} + x - 4)$
173388	Find the Roots (Zeros)	h(x)=2(3^x)-18	$h (x) = 2 (3^{x}) - 18$
173389	Graph	y=(x+h)^2+k	$y = {(x + h)}^{2} + k$
173390	Simplify	natural log of 1/(e^4)	$\ln (\frac{1}{e^{4}})$
173391	Simplify	square root of 81+ square root of -32+ square root of 49- square root of -200	$\sqrt{81} + \sqrt{- 32} + \sqrt{49} - \sqrt{- 200}$
173392	Simplify	2 natural log of x^3-3 natural log of x	$2 \ln (x^{3}) - 3 \ln (x)$
173393	Graph	g(x)=1/4 square root of x	$g (x) = \frac{1}{4} \sqrt{x}$
173394	Find the Discriminant	4x^2-15x+16=3x^2-7x	$4 x^{2} - 15 x + 16 = 3 x^{2} - 7 x$
173395	Graph	y=-3 log base 3 of 1-x+6	$y = - 3 \log_{3} (1 - x) + 6$
173396	Solve for t	(4x^3+5)(2x^3+3)=8x^6+tx^3+15	$(4 x^{3} + 5) (2 x^{3} + 3) = 8 x^{6} + t x^{3} + 15$
173397	Solve the Inequality for x	y>=4x-5	$y \geq 4 x - 5$
173398	Simplify	(8xy)^-2*(x^-5y^-1)/(xy)	${(8 x y)}^{- 2} \cdot \frac{x^{- 5} y^{- 1}}{x y}$
173399	Solve for f	7/4=(f-4)/8	$\frac{7}{4} = \frac{f - 4}{8}$
173400	Simplify	(6x^2-384)/(4x^2-40x+64)*(x^2-4)/(x+8)	$\frac{6 x^{2} - 384}{4 x^{2} - 40 x + 64} \cdot \frac{x^{2} - 4}{x + 8}$