Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
160301	Solve the Inequality for x	x^2+x+1>0	$x^{2} + x + 1 > 0$
160302	Evaluate	y=a(x-h)^2+k	$y = a {(x - h)}^{2} + k$
160303	Graph	x=-y^3+1	$x = - y^{3} + 1$
160304	Factor	24x^4y-96x^3y^2+48x^2	$24 x^{4} y - 96 x^{3} y^{2} + 48 x^{2}$
160305	Subtract	1/4-3/4	$\frac{1}{4} - \frac{3}{4}$
160306	Solve the System of Inequalities	3x-91>-87 OR 21x-17>25	$3 x - 91 > - 87$ OR $21 x - 17 > 25$
160307	Evaluate	1/7-3(3/7n-2/7)	$\frac{1}{7} - 3 (\frac{3}{7} n - \frac{2}{7})$
160308	Solve for x	2x-5(x-3)=2(x-10)	$2 x - 5 (x - 3) = 2 (x - 10)$
160309	Solve for T₁	(P_1V_1)/T_1=(P_2V_2)/T_2	$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$
160310	Graph	x^(-)*2	$x^{-} \cdot 2$
160311	Solve for n	(4n-2)/(2n)=7	$\frac{4 n - 2}{2 n} = 7$
160312	Solve for x	3x-x+2=4(2x-1)	$3 x - x + 2 = 4 (2 x - 1)$
160313	Find the Inverse	y=(3x+1)/2	$y = \frac{3 x + 1}{2}$
160314	Find the Exact Value	arcsec(2/( square root of 3))	$arcsec (\frac{2}{\sqrt{3}})$
160315	Solve for x	22=5+1/4x	$22 = 5 + \frac{1}{4} x$
160316	Factor	1-x+2a(1-x)	$1 - x + 2 a (1 - x)$
160317	Solve for B	B^2-6=5 an	$B^{2} - 6 = 5$ an
160318	Evaluate	7/8m+9/10-2m-3/5	$\frac{7}{8} m + \frac{9}{10} - 2 m - \frac{3}{5}$
160319	Solve for x	5+2(3+2x)=x+3(x+1)	$5 + 2 (3 + 2 x) = x + 3 (x + 1)$
160320	Graph	f(x)=1/2(x+2)(x+1)(x-1)	$f (x) = \frac{1}{2} (x + 2) (x + 1) (x - 1)$
160321	Simplify	((t+3)/(t+4))÷(t^2+7t+12)	$\frac{t + 3}{t + 4} \div (t^{2} + 7 t + 12)$
160322	Simplify	3 square root of 12* square root of 6	$3 \sqrt{12} \cdot \sqrt{6}$
160323	Solve for g	mh=E/g	$m h = \frac{E}{g}$
160324	Graph Using a Table of Values	3^x	$3^{x}$
160325	Evaluate	4pi(4)^2	$4 π {(4)}^{2}$
160326	Simplify the Radical Expression	square root of x^6	$\sqrt{x^{6}}$
160327	Find the Exact Value	sin(-15 degrees )	$\sin (- 15 °)$
160328	Evaluate	6^2-2(5+1+3)	$6^{2} - 2 (5 + 1 + 3)$
160329	Find the Exact Value	square root of 16	$\sqrt{16}$
160330	Evaluate	e^( natural log of 1/pi)	$e^{\ln (\frac{1}{π})}$
160331	Solve for x	(x+7)/(x-2)=2/9	$\frac{x + 7}{x - 2} = \frac{2}{9}$
160332	Evaluate	6(-3m)^4	$6 {(- 3 m)}^{4}$
160333	Find the Function	f(x)=-3x+2	$f (x) = - 3 x + 2$
160334	Solve the Inequality for r	35r-21<-35r+19	$35 r - 21 < - 35 r + 19$
160335	Solve for r	-3/8r+41=-22	$- \frac{3}{8} r + 41 = - 22$
160336	Find the Product	(3x+2)(3x-2)	$(3 x + 2) (3 x - 2)$
160337	Graph	g(x)=f(1/2x)	$g (x) = f (\frac{1}{2} x)$
160338	Solve for x	4/(x+6)+1/(x^2)=(x+10)/(x^3+6x^2)	$\frac{4}{x + 6} + \frac{1}{x^{2}} = \frac{x + 10}{x^{3} + 6 x^{2}}$
160339	Factor	a^3b^2-2a^3b	$a^{3} b^{2} - 2 a^{3} b$
160340	Find the Perfect Square Trinomial	a^2-2ab+b^2	$a^{2} - 2 a b + b^{2}$
160341	Simplify	((3m^2n^7)/m)^5	${(\frac{3 m^{2} n^{7}}{m})}^{5}$
160342	Multiply	x*1/x	$x \cdot \frac{1}{x}$
160343	Factor	4x^4-29x^2+25	$4 x^{4} - 29 x^{2} + 25$
160344	Solve the System of Inequalities	2x+3>=7 OR 2x+9>11	$2 x + 3 \geq 7$ OR $2 x + 9 > 11$
160345	Solve for A	2m^3A-nA=B	$2 m^{3} A - n A = B$
160346	Solve for x	3/2(4x-1)-3x=5/4-(x+2)	$\frac{3}{2} (4 x - 1) - 3 x = \frac{5}{4} - (x + 2)$
160347	Solve for x	x-3/(x+1)=(3x)/(x+1)	$x - \frac{3}{x + 1} = \frac{3 x}{x + 1}$
160348	Find the Exact Value	cos(285 degrees )	$\cos (285 °)$
160349	Solve for y	ax+by+c=0	$a x + b y + c = 0$
160350	Graph Using a Table of Values	f(x)=-x^2	$f (x) = - x^{2}$
160351	Solve for x	27=3+3/7x	$27 = 3 + \frac{3}{7} x$
160352	Solve the Inequality for x	(x+2)/(x+3)<(x-1)/(x-2)	$\frac{x + 2}{x + 3} < \frac{x - 1}{x - 2}$
160353	Solve the Inequality for x	x^2+x-12>0	$x^{2} + x - 12 > 0$
160354	Solve for y	243^(-y)=(1/243)^(3y)*9^(-2y)	$243^{- y} = {(\frac{1}{243})}^{3 y} \cdot 9^{- 2 y}$
160355	Solve the System of Equations	3x+4y=-23 2y-x=-19	$3 x + 4 y = - 23$ $2 y - x = - 19$
160356	Solve for h	11=4/5h-1	$11 = \frac{4}{5} h - 1$
160357	Factor	(a^2)/4-ab+b^2	$\frac{a^{2}}{4} - a b + b^{2}$
160358	Graph	g(x)=(1/2x)^2	$g (x) = {(\frac{1}{2} x)}^{2}$
160359	Graph	y=1/2(x-3)^2+2	$y = \frac{1}{2} {(x - 3)}^{2} + 2$
160360	Find the Exact Value	1/( square root of 2)	$\frac{1}{\sqrt{2}}$
160361	Solve the Inequality for j	j+9-3<8	$j + 9 - 3 < 8$
160362	Graph	f(x)=-1/2(x+2)(x+1)(x-1)	$f (x) = - \frac{1}{2} (x + 2) (x + 1) (x - 1)$
160363	Find the First Term	a_n=2n-1	$a_{n} = 2 n - 1$
160364	Solve for a	y=-n^3+3/4a	$y = - n^{3} + \frac{3}{4} a$
160365	Solve the Inequality for a	a-6<=15+8a	$a - 6 \leq 15 + 8 a$
160366	Simplify	(cot(theta)^2)/(cos(theta)^2)	$\frac{\cot^{2} (θ)}{\cos^{2} (θ)}$
160367	Simplify	(4x^2+y)^2	${(4 x^{2} + y)}^{2}$
160368	Simplify	(3x^4-y^5)^2	${(3 x^{4} - y^{5})}^{2}$
160369	Find the Directrix	(y-3)^2=-12x	${(y - 3)}^{2} = - 12 x$
160370	Find the x and y Intercepts	-1/2x+y=-4	$- \frac{1}{2} x + y = - 4$
160371	Solve for x	square root of x-4=w	$\sqrt{x - 4} = w$
160372	Factor	2x^5+12x^3-54x	$2 x^{5} + 12 x^{3} - 54 x$
160373	Solve for r	4r+4r-16r-r-10r=19	$4 r + 4 r - 16 r - r - 10 r = 19$
160374	Factor	2x(n-1)-3y(n-1)	$2 x (n - 1) - 3 y (n - 1)$
160375	Solve the System of Inequalities	-8x+14>=60 OR -4x+50<58	$- 8 x + 14 \geq 60$ OR $- 4 x + 50 < 58$
160376	Simplify	-42+(-17)	$- 42 + (- 17)$
160377	Simplify	4 cube root of x^10+5x^3 cube root of 8x	$4 \sqrt[3]{x^{10}} + 5 x^{3} \sqrt[3]{8 x}$
160378	Factor	f(x)=x^4+x^3-11x^2-9x+18	$f (x) = x^{4} + x^{3} - 11 x^{2} - 9 x + 18$
160379	Simplify	3 square root of 3+4- square root of 3	$3 \sqrt{3} + 4 - \sqrt{3}$
160380	Solve the Inequality for x	(5x)/(x-1)<4	$\frac{5 x}{x - 1} < 4$
160381	Solve Using the Quadratic Formula	0.75(8+e)=2-1.25e	$0.75 (8 + e) = 2 - 1.25 e$
160382	Solve the System of Inequalities	-9x+5<=17 OR 13x+25<=-1	$- 9 x + 5 \leq 17$ OR $13 x + 25 \leq - 1$
160383	Divide	(6x^5-2x^4-1)/x	$\frac{6 x^{5} - 2 x^{4} - 1}{x}$
160384	Solve for x	square root of x+1 = square root of x+9	$\sqrt{x} + 1 = \sqrt{x + 9}$
160385	Simplify	(15 square root of 90)/( square root of 125)	$\frac{15 \sqrt{90}}{\sqrt{125}}$
160386	Simplify	9/10(-2/3)	$\frac{9}{10} (- \frac{2}{3})$
160387	Simplify	(12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)	$(12 s^{4} - 6 s^{2} + 4 s) + (6 s^{4} - 4 s + 27) - (4 s^{4} + s^{2} + 12)$
160388	Solve for A	b=f^2A+2HA	$b = f^{2} A + 2 H A$
160389	Simplify	18- square root of -25	$18 - \sqrt{- 25}$
160390	Simplify	(x^2+4x)/(x-3)*(2x-6)/(10x)	$\frac{x^{2} + 4 x}{x - 3} \cdot \frac{2 x - 6}{10 x}$
160391	Solve for x	x=(-b+ square root of b^2-4ac)/(2a)	$x = \frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$
160392	Factor	20+a^2-21a	$20 + a^{2} - 21 a$
160393	Find the Exact Value	sin(arcsec(u))	$\sin (arcsec (u))$
160394	Solve the Inequality for x	0<x+7<9	$0 < x + 7 < 9$
160395	Solve the Inequality for x	x^2<4	$x^{2} < 4$
160396	Evaluate	2(3^2+4^2)	$2 (3^{2} + 4^{2})$
160397	Simplify	7x+2y+5-5x+9y-1	$7 x + 2 y + 5 - 5 x + 9 y - 1$
160398	Solve for v	KE=1/2mv^2	$K E = \frac{1}{2} m v^{2}$
160399	Solve for n	cube root of n-9=3	$\sqrt[3]{n - 9} = 3$
160400	Simplify	-8x+7-5-5x+5x	$- 8 x + 7 - 5 - 5 x + 5 x$