Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178401	Solve for x	(6x)/2=27	$\frac{6 x}{2} = 27$
178402	Simplify	(1-(sin(x)-cos(x))^2)/(2cos(x))	$\frac{1 - {(\sin (x) - \cos (x))}^{2}}{2 \cos (x)}$
178403	Solve the Inequality for x	-2x+1<=x-3	$- 2 x + 1 \leq x - 3$
178404	Find the Holes in the Graph	f(x)=(x^2-81)/(x^2+15x+56)	$f (x) = \frac{x^{2} - 81}{x^{2} + 15 x + 56}$
178405	Solve for x	-9/(x^2-x)+9=1/(x^2-x)	$- \frac{9}{x^{2} - x} + 9 = \frac{1}{x^{2} - x}$
178406	Solve for v	\|v\|=4	$\| v \| = 4$
178407	Find the Exact Value	1/2+( square root of 3)/2	$\frac{1}{2} + \frac{\sqrt{3}}{2}$
178408	Multiply	(2x-2)/3*2/(x^2-1)	$\frac{2 x - 2}{3} \cdot \frac{2}{x^{2} - 1}$
178409	Solve for k	k^2+8k+22=6	$k^{2} + 8 k + 22 = 6$
178410	Solve for n	3n-7<26	$3 n - 7 < 26$
178411	Graph Using a Table of Values	y = square root of x+2	$y = \sqrt{x + 2}$
178412	Simplify	((x+9)(x-2))/((x-2)(2+x))	$\frac{(x + 9) (x - 2)}{(x - 2) (2 + x)}$
178413	Simplify	-10x square root of 40-2 square root of 10x^2	$- 10 x \sqrt{40} - 2 \sqrt{10 x^{2}}$
178414	Solve by Substitution	y=-x y=-4x+12	$y = - x$ $y = - 4 x + 12$
178415	Simplify the Radical Expression	8 cube root of a^4b^3c^2-14ab cube root of ac^2	$8 \sqrt[3]{a^{4} b^{3} c^{2}} - 14 a b \sqrt[3]{a c^{2}}$
178416	Graph	f(x)=1/8(x+4)(x+2)^2(x-2)	$f (x) = \frac{1}{8} (x + 4) {(x + 2)}^{2} (x - 2)$
178417	Describe the Transformation	f(x+2)	$f (x + 2)$
178418	Simplify	((x+2)/(x+8))÷((2x)/3)	$\frac{x + 2}{x + 8} \div \frac{2 x}{3}$
178419	Solve for v	4^(v+9)+5=38	$4^{v + 9} + 5 = 38$
178420	Evaluate	2-(-1/8)+-7/4	$2 - (- \frac{1}{8}) + - \frac{7}{4}$
178421	Solve the Inequality for x	x^4>49x^2	$x^{4} > 49 x^{2}$
178422	Graph	(( square root of 3)/2,1/2)	$(\frac{\sqrt{3}}{2}, \frac{1}{2})$
178423	Solve for x	9x+2=8x^2+6x	$9 x + 2 = 8 x^{2} + 6 x$
178424	Simplify	( square root of 15(x-1))÷( square root of 2x^2)	$\sqrt{15 (x - 1)} \div \sqrt{2 x^{2}}$
178425	Find the Holes in the Graph	h(x)=(x+3)/(x(x+8))	$h (x) = \frac{x + 3}{x (x + 8)}$
178426	Divide	2 1/4÷1 1/2	$2 \frac{1}{4} \div 1 \frac{1}{2}$
178427	Simplify	22^22^2	$2 \cdot 2^{2} \cdot 2^{2}$
178428	Combine Like Terms	2(4f+2g)	$2 (4 f + 2 g)$
178429	Evaluate	square root of 3^2+4^2	$\sqrt{3^{2}} + 4^{2}$
178430	Simplify	(1-x)/(2x)+(x+2)/(x^2)+1/(3ax^2)	$\frac{1 - x}{2 x} + \frac{x + 2}{x^{2}} + \frac{1}{3 a x^{2}}$
178431	Solve for x	x/(x-1)+6=1/(x^2-x)	$\frac{x}{x - 1} + 6 = \frac{1}{x^{2} - x}$
178432	Solve for x	x*0.5(x-10)=30-15x	$x \cdot 0.5 (x - 10) = 30 - 15 x$
178433	Find the Function	f(x)=\|x+2\|	$f (x) = \| x + 2 \|$
178434	Solve for x	(3x-16)/x=5/3	$\frac{3 x - 16}{x} = \frac{5}{3}$
178435	Solve for r	3r=90-5	$3 r = 90 - 5$
178436	Simplify	2*1/4	$2 \cdot \frac{1}{4}$
178437	Simplify	(3x^5+y)^2	${(3 x^{5} + y)}^{2}$
178438	Solve for a	x^(1/6) cube root of x^2=x^a	$x^{\frac{1}{6}} \sqrt[3]{x^{2}} = x^{a}$
178439	Simplify	y^3 square root of 20x^5y^4	$y^{3} \sqrt{20 x^{5} y^{4}}$
178440	Evaluate	natural log of e^4+ natural log of e^-7	$\ln (e^{4}) + \ln (e^{- 7})$
178441	Simplify	5x+2(x-3)=-2(x-1)	$5 x + 2 (x - 3) = - 2 (x - 1)$
178442	Solve the Inequality for x	4x-12>=8	$4 x - 12 \geq 8$
178443	Simplify	2y(y^2-5y-3)+y(y+1)	$2 y (y^{2} - 5 y - 3) + y (y + 1)$
178444	Solve for x	8x-1/x=-2	$8 x - \frac{1}{x} = - 2$
178445	Graph	f(x)=(x^3-x^2-12x)/(-4x^2-8x)	$f (x) = \frac{x^{3} - x^{2} - 12 x}{- 4 x^{2} - 8 x}$
178446	Graph	2x+3y>=12 8x-4y>1 x<4	$2 x + 3 y \geq 12$ $8 x - 4 y > 1$ $x < 4$
178447	Simplify	((2x+5)/(3x))÷((2x-1)/(2x+1))	$\frac{2 x + 5}{3 x} \div \frac{2 x - 1}{2 x + 1}$
178448	Solve by Completing the Square	5x(x+6)=-50	$5 x (x + 6) = - 50$
178449	Divide	(3x^2)÷3x	$3 x^{2} \div 3 x$
178450	Solve the Rational Equation for x	square root of x-2=4	$\sqrt{x - 2} = 4$
178451	Solve for v	4/5(v-7)=2	$\frac{4}{5} (v - 7) = 2$
178452	Find the Domain and Range	f(x)=1/(1+e^(-x))	$f (x) = \frac{1}{1 + e^{- x}}$
178453	Solve for j	7/3-1/6j=1/6(2j-7)	$\frac{7}{3} - \frac{1}{6} j = \frac{1}{6} (2 j - 7)$
178454	Write in Standard Form	(3x+2)(2x^2+6x-3)	$(3 x + 2) (2 x^{2} + 6 x - 3)$
178455	Convert to Rectangular	r=6/(2-3sin(theta))	$r = \frac{6}{2 - 3 \sin (θ)}$
178456	Solve for x	87=195x-16x^2	$87 = 195 x - 16 x^{2}$
178457	Solve for w	3(1+1/4w)=4+w	$3 (1 + \frac{1}{4} w) = 4 + w$
178458	Solve for θ	4cos(theta)^2-3=0	$4 \cos^{2} (θ) - 3 = 0$
178459	Multiply	x/2*x/2	$\frac{x}{2} \cdot \frac{x}{2}$
178460	Simplify	((4x^7)/(x^2y^4))^2	${(\frac{4 x^{7}}{x^{2} y^{4}})}^{2}$
178461	Solve for θ	8cos(theta)^2=2	$8 \cos^{2} (θ) = 2$
178462	Solve the Inequality for x	x+1+1+6x>3(x-4)-(x-4)	$x + 1 + 1 + 6 x > 3 (x - 4) - (x - 4)$
178463	Factor	(a-b)^2-(c-d)^2	${(a - b)}^{2} - {(c - d)}^{2}$
178464	Evaluate	cot(-x)cos(-x)+sin(-x)=-1/(f(x))	$\cot (- x) \cos (- x) + \sin (- x) = - \frac{1}{f (x)}$
178465	Find the x and y Intercepts	y=x square root of x+2	$y = x \sqrt{x + 2}$
178466	Solve the Inequality for x	x^2-x>0	$x^{2} - x > 0$
178467	Solve for t	5/3t=4(1/2t+2)-2(6-3/2t)	$\frac{5}{3} t = 4 (\frac{1}{2} t + 2) - 2 (6 - \frac{3}{2} t)$
178468	Evaluate the Function	D(-1)=x^2-2x-1	$D (- 1) = x^{2} - 2 x - 1$
178469	Solve the Inequality for x	(x+2)^2(x+5)(x+9)<0	${(x + 2)}^{2} (x + 5) (x + 9) < 0$
178470	Solve the Inequality for x	9(x-3)-8x>=-3	$9 (x - 3) - 8 x \geq - 3$
178471	Graph	3x+6y<=6 3x+y<=9	$3 x + 6 y \leq 6$ $3 x + y \leq 9$
178472	Graph	1/4(x-3)<=-2	$\frac{1}{4} (x - 3) \leq - 2$
178473	Simplify	1/4(8m-4n)+1/3(6m+3n)	$\frac{1}{4} (8 m - 4 n) + \frac{1}{3} (6 m + 3 n)$
178474	Graph	y>=-3/4x+1 y>=1/2x+6	$y \geq - \frac{3}{4} x + 1$ $y \geq \frac{1}{2} x + 6$
178475	Evaluate	(7!5!)/(9!3!)	$\frac{7! 5!}{9! 3!}$
178476	Solve for d	1/5(3/2d-15)=9/10d	$\frac{1}{5} (\frac{3}{2} d - 15) = \frac{9}{10} d$
178477	Solve for x	e^(1/4x)=\|4x\|	$e^{\frac{1}{4} x} = \| 4 x \|$
178478	Evaluate	(x+1)(x+3)	$(x + 1) (x + 3)$
178479	Find the Function	f(x)=7x-1	$f (x) = 7 x - 1$
178480	Solve for p	-2(p-5)+7p=-5	$- 2 (p - 5) + 7 p = - 5$
178481	Simplify	(-7/2z+4)+(1/5z-15)	$(- \frac{7}{2} z + 4) + (\frac{1}{5} z - 15)$
178482	Solve for d	1.2+d+0.4=9.7	$1.2 + d + 0.4 = 9.7$
178483	Solve for d	4-d=-(d-4)	$4 - d = - (d - 4)$
178484	Solve for x	(x-1)/2=1/3	$\frac{x - 1}{2} = \frac{1}{3}$
178485	Solve the System of Inequalities	8<=x+5 and 16>x+5	$8 \leq x + 5$ and $16 > x + 5$
178486	Solve the Absolute Value Inequality for v	8+\|4v-7\|>=17	$8 + \| 4 v - 7 \| \geq 17$
178487	Find the Midpoint	(-4,5) and (-1,1)	$(- 4, 5)$ and $(- 1, 1)$
178488	Solve for θ	cos(2theta)+8sin(theta)^2=4	$\cos (2 θ) + 8 \sin^{2} (θ) = 4$
178489	Solve for x	x^2=2-x	$x^{2} = 2 - x$
178490	Solve for a	( sixth root of x^5)/((x^(1/6))^5)=x^a	$\frac{\sqrt[6]{x^{5}}}{{(x^{\frac{1}{6}})}^{5}} = x^{a}$
178491	Solve the System of Equations	5x+2y=9 2x-3y=15	$5 x + 2 y = 9$ $2 x - 3 y = 15$
178492	Divide	(4^2)÷(4^6)	$4^{2} \div 4^{6}$
178493	Find the x and y Intercepts	f(x)=(x-2)+4	$f (x) = (x - 2) + 4$
178494	Write in Standard Form	f(x)=-x^2-4x+2	$f (x) = - x^{2} - 4 x + 2$
178495	Simplify	(-k^2-16k-5)+(11-k^2+13k)	$(- k^{2} - 16 k - 5) + (11 - k^{2} + 13 k)$
178496	Find the x and y Intercepts	R(x)=(x^2)/(x^2+x-20)	$R (x) = \frac{x^{2}}{x^{2} + x - 20}$
178497	Graph	y>x+6 y>-3x-6	$y > x + 6$ $y > - 3 x - 6$
178498	Evaluate	log base 7 of x+ log base 7 of 6x-1=1	$\log_{7} (x) + \log_{7} (6 x - 1) = 1$
178499	Solve for r	PV=nRT for r	$P V = n R T$ for $r$
178500	Simplify	square root of (36x^8)/(4x^6)	$\sqrt{\frac{36 x^{8}}{4 x^{6}}}$