Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178601	Solve for θ	square root of 2cos(theta)^2-cos(theta)=0	$\sqrt{2} \cos^{2} (θ) - \cos (θ) = 0$
178602	Graph	(-6,-6)	$(- 6, - 6)$
178603	Solve for a	-3(1+4a)=33	$- 3 (1 + 4 a) = 33$
178604	Evaluate	3^(1-2)	$3^{1 - 2}$
178605	Solve for x	(x+6)/2+(5-4x)/3-(8-x)/6=0	$\frac{x + 6}{2} + \frac{5 - 4 x}{3} - \frac{8 - x}{6} = 0$
178606	Write in Standard Form	x=8	$x = 8$
178607	Evaluate	f(-x)=3x^2+2x-4	$f (- x) = 3 x^{2} + 2 x - 4$
178608	Find the x and y Intercepts	(x+5)(x+3)=y	$(x + 5) (x + 3) = y$
178609	Graph	y>=2-2x	$y \geq 2 - 2 x$
178610	Solve for x	13-36x^2=-12	$13 - 36 x^{2} = - 12$
178611	Solve for x	2/3+1/x=2/5-3/x	$\frac{2}{3} + \frac{1}{x} = \frac{2}{5} - \frac{3}{x}$
178612	Find the Slope and y-intercept	-4x+7=2y-3	$- 4 x + 7 = 2 y - 3$
178613	Simplify	(8-7i)/(8+i)	$\frac{8 - 7 i}{8 + i}$
178614	Simplify	(9x^2)/(36x^3+27x^2)	$\frac{9 x^{2}}{36 x^{3} + 27 x^{2}}$
178615	Graph	(5,-8)	$(5, - 8)$
178616	Solve for x	f(-3)=4x+5	$f (- 3) = 4 x + 5$
178617	Subtract	-3/2-1/2	$- \frac{3}{2} - \frac{1}{2}$
178618	Evaluate	5(1/5)+1/5(15)	$5 (\frac{1}{5}) + \frac{1}{5} (15)$
178619	Combine Like Terms	-6n+(-12)+4n	$- 6 n + (- 12) + 4 n$
178620	Graph	g(x)=f(x+2)-2	$g (x) = f (x + 2) - 2$
178621	Graph	{x\|x<=1}	${x \| x \leq 1}$
178622	Multiply	(2x^2+5a^2y)(2x^2-5a^2y)	$(2 x^{2} + 5 a^{2} y) (2 x^{2} - 5 a^{2} y)$
178623	Solve for p	-3(4-8p)+6=4(6p-1)-2	$- 3 (4 - 8 p) + 6 = 4 (6 p - 1) - 2$
178624	Solve the Inequality for m	4m-3(m+1)-4<0	$4 m - 3 (m + 1) - 4 < 0$
178625	Solve the Inequality for g	3<=7+g	$3 \leq 7 + g$
178626	Solve for x	5/(3x)-3/(4x)=5/6	$\frac{5}{3 x} - \frac{3}{4 x} = \frac{5}{6}$
178627	Simplify	2 square root of 5+ square root of 45+ square root of 180- square root of 80	$2 \sqrt{5} + \sqrt{45} + \sqrt{180} - \sqrt{80}$
178628	Solve for x	(x+4)/(x-5)=-4/x	$\frac{x + 4}{x - 5} = \frac{- 4}{x}$
178629	Find the Holes in the Graph	f(x)=(2x^2-2)/(x^2+9x)	$f (x) = \frac{2 x^{2} - 2}{x^{2} + 9 x}$
178630	Solve for x	44-2(3x+4)=-18x	$44 - 2 (3 x + 4) = - 18 x$
178631	Solve the Absolute Value Inequality for x	\|x-4\|=9	$\| x - 4 \| = 9$
178632	Solve for a	a=pi*3^2	$a = π \cdot 3^{2}$
178633	Solve the Inequality for x	x+10>=6	$x + 10 \geq 6$
178634	Solve for m	5e^(4m-3)-7=13	$5 e^{4 m - 3} - 7 = 13$
178635	Solve for x	1206=8600(0.96)^(x+1)-1194	$1206 = 8600 {(0.96)}^{x + 1} - 1194$
178636	Factor	2(a^2+1)-b(a^2+1)	$2 (a^{2} + 1) - b (a^{2} + 1)$
178637	Solve the Inequality for x	(x-3)(x+2)>0	$(x - 3) (x + 2) > 0$
178638	Find the Exact Value	cos(60 degrees )+tan(60 degrees )	$\cos (60 °) + \tan (60 °)$
178639	Solve the System of Equations	x-y=11 -x+y=-11	$x - y = 11$ $- x + y = - 11$
178640	Write in Standard Form	-11+4x^2=-7x-2	$- 11 + 4 x^{2} = - 7 x - 2$
178641	Simplify	8x-3(2x+5)+x+4	$8 x - 3 (2 x + 5) + x + 4$
178642	Solve the Inequality for x	5-4x>3x-9	$5 - 4 x > 3 x - 9$
178643	Graph	y=(1/4x)^3	$y = {(\frac{1}{4} x)}^{3}$
178644	Evaluate	(-3.6)(4 1/3)	$(- 3.6) (4 \frac{1}{3})$
178645	Solve for b	18<=3(b-4)	$18 \leq 3 (b - 4)$
178646	Graph	y<=5-x	$y \leq 5 - x$
178647	Factor	15a-12b-5ap+4bp	$15 a - 12 b - 5 a p + 4 b p$
178648	Factor	2(x+y)^2+(x+y)-3	$2 {(x + y)}^{2} + (x + y) - 3$
178649	Find the x and y Intercepts	f(x) = cube root of x+1	$f (x) = \sqrt[3]{x + 1}$
178650	Find the Exact Value	square root of 2+ square root of 2	$\sqrt{2} + \sqrt{2}$
178651	Solve the Inequality for x	3x-5<4	$3 x - 5 < 4$
178652	Solve the Inequality for x	x-4>4(x-1)	$x - 4 > 4 (x - 1)$
178653	Solve the Inequality for x	(x-2)/(2x-3)<=0	$\frac{x - 2}{2 x - 3} \leq 0$
178654	Solve for x	12x=4(x+5)	$12 x = 4 (x + 5)$
178655	Find the Exact Value	cos(60 degrees )^2	$\cos^{2} (60 °)$
178656	Simplify	x/(x-3)+(2x+2)/(x^2-2x-3)	$\frac{x}{x - 3} + \frac{2 x + 2}{x^{2} - 2 x - 3}$
178657	Find the Function	f(x)=2/x	$f (x) = \frac{2}{x}$
178658	Divide	((6a+27)/(18a^2+36a))÷((16a+72)/(2a+4))	$\frac{6 a + 27}{18 a^{2} + 36 a} \div \frac{16 a + 72}{2 a + 4}$
178659	Simplify	5(mn-3)+10(mn-8)	$5 (m n - 3) + 10 (m n - 8)$
178660	Solve for x	6(x+1)-9=4(x-1)+2x	$6 (x + 1) - 9 = 4 (x - 1) + 2 x$
178661	Solve for c	p(x)=x^3-4x^2+cx+33	$p (x) = x^{3} - 4 x^{2} + c x + 33$
178662	Find the Holes in the Graph	f(x)=(2x^2-8x)/(x^2-6x+8)	$f (x) = \frac{2 x^{2} - 8 x}{x^{2} - 6 x + 8}$
178663	Simplify	(40y^2)/(5xy)	$\frac{40 y^{2}}{5 x y}$
178664	Solve for x	3+x=2-3x	$3 + x = 2 - 3 x$
178665	Simplify	(3x^2)/(2x^2)	$\frac{3 x^{2}}{2 x^{2}}$
178666	Solve for x	2^(x-1)>32	$2^{x - 1} > 32$
178667	Solve for x	5-3x=3-5x-(8-2x)	$5 - 3 x = 3 - 5 x - (8 - 2 x)$
178668	Solve the Inequality for x	log base 2 of 3x+5> = log base 2 of x-9	$\log_{2} (3 x + 5) \geq \log_{2} (x - 9)$
178669	Graph	f(x)=2[[x]]	$f (x) = 2 [\begin{array}{c} x \end{array}]$
178670	Evaluate the Function	f(2)=-4	$f (2) = - 4$
178671	Solve Using the Quadratic Formula	72=(8x+3)(8x-3)	$72 = (8 x + 3) (8 x - 3)$
178672	Evaluate	-2/(2(-1))	$- \frac{2}{2 (- 1)}$
178673	Write in Standard Form	square root of -8( square root of -3- square root of 5)	$\sqrt{- 8} (\sqrt{- 3} - \sqrt{5})$
178674	Solve for x	x^2=6^2+8^2	$x^{2} = 6^{2} + 8^{2}$
178675	Solve the Inequality for m	3\|14-m\|>18	$3 \| 14 - m \| > 18$
178676	Solve the Inequality for x	4(1-x)<16	$4 (1 - x) < 16$
178677	Simplify	x^2 square root of 36x^4y^7	$x^{2} \sqrt{36 x^{4} y^{7}}$
178678	Find the Product	-3+4/5e=-2+3/2e+1/10e	$- 3 + \frac{4}{5} e = - 2 + \frac{3}{2} e + \frac{1}{10} e$
178679	Solve for x	4(3+x)+x=x+4	$4 (3 + x) + x = x + 4$
178680	Solve for x	3(5x+5)^2-47=10	$3 {(5 x + 5)}^{2} - 47 = 10$
178681	Solve for x	\|x\|+3=0	$\| x \| + 3 = 0$
178682	Simplify	e^(2x)*e^x	$e^{2 x} \cdot e^{x}$
178683	Expand the Logarithmic Expression	log of (z^5x)/( square root of y^3)	$\log (\frac{z^{5} x}{\sqrt{y^{3}}})$
178684	Solve for x	5x+9=9(x+1)-4x	$5 x + 9 = 9 (x + 1) - 4 x$
178685	Find the Exact Value	2^2+2^2	$2^{2} + 2^{2}$
178686	Graph	y=f(x)+a	$y = f (x) + a$
178687	Find the Product	(3x+5y)(3x-5y)	$(3 x + 5 y) (3 x - 5 y)$
178688	Multiply	2 3/20*10	$2 \frac{3}{20} \times 10$
178689	Solve the System of Inequalities	13>=-2x-7 or -2x-7<1	$13 \geq - 2 x - 7$ or $- 2 x - 7 < 1$
178690	Solve the System of Inequalities	3x<21 or 5x>55	$3 x < 21$ or $5 x > 55$
178691	Simplify	((2^2)^2)^2	${({(2^{2})}^{2})}^{2}$
178692	Write in Standard Form	-x=-10-x^2+3x	$- x = - 10 - x^{2} + 3 x$
178693	Solve for g	2-3/2(4g-2)=-1/5(5g+10)-g	$2 - \frac{3}{2} (4 g - 2) = - \frac{1}{5} (5 g + 10) - g$
178694	Evaluate	f(2)=4^2	$f (2) = 4^{2}$
178695	Multiply	8r^2(r^2-2)	$8 r^{2} (r^{2} - 2)$
178696	Simplify	((x^2-9)/4)/((3-x)/8)	$\frac{\frac{x^{2} - 9}{4}}{\frac{3 - x}{8}}$
178697	Simplify	(-5n^4+8)+(5n^4+8n^3+3n^2)	$(- 5 n^{4} + 8) + (5 n^{4} + 8 n^{3} + 3 n^{2})$
178698	Solve the System of Inequalities	2x+3>=7 ; OR , 2x+9>11	$2 x + 3 \geq 7$ ; OR , $2 x + 9 > 11$
178699	Write in Standard Form	-2x-21+2x^2=-5	$- 2 x - 21 + 2 x^{2} = - 5$
178700	Simplify	((x^2-5x-36)/(x+2))÷(x^2-18x+81)	$\frac{x^{2} - 5 x - 36}{x + 2} \div (x^{2} - 18 x + 81)$