Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
170301	Solve the Inequality for x	9-3x>=2(x-3)	$9 - 3 x \geq 2 (x - 3)$
170302	Factor	4a^2+b^2-c^2+4ab	$4 a^{2} + b^{2} - c^{2} + 4 a b$
170303	Simplify	(sin(x)^2)/(cos(x)^2)+tan(x)cot(x)	$\frac{\sin^{2} (x)}{\cos^{2} (x)} + \tan (x) \cot (x)$
170304	Write in Exponential Form	log base (x+5) of 4x=3	$\log_{(x + 5)} (4 x) = 3$
170305	Combine Like Terms	-3(-4y+3)+7y	$- 3 (- 4 y + 3) + 7 y$
170306	Find the x and y Intercepts	f(x)=(-2x^2+10x)/(4x-20)	$f (x) = \frac{- 2 x^{2} + 10 x}{4 x - 20}$
170307	Rationalize the Denominator	(a+ square root of b)/( square root of b)	$\frac{a + \sqrt{b}}{\sqrt{b}}$
170308	Simplify	(((-1)^3)/((-3)^-3))^2	${(\frac{{(- 1)}^{3}}{{(- 3)}^{- 3}})}^{2}$
170309	Simplify	\|4+(-9)\|	$\| 4 + (- 9) \|$
170310	Simplify	(2 square root of -2)(3 square root of 4)	$(2 \sqrt{- 2}) (3 \sqrt{4})$
170311	Simplify	(3(j^4)^5)/(4j^10)	$\frac{3 {(j^{4})}^{5}}{4 j^{10}}$
170312	Subtract	(d^2+6d+9)-(d^3+6d+9)	$(d^{2} + 6 d + 9) - (d^{3} + 6 d + 9)$
170313	Simplify	(x^-8*x^5)/(x^-6)	$\frac{x^{- 8} \cdot x^{5}}{x^{- 6}}$
170314	Solve the Inequality for x	-3/(x-5)<=2/(2-x)	$\frac{- 3}{x - 5} \leq \frac{2}{2 - x}$
170315	Find the Domain and Range	y=-x^2+2x	$y = - x^{2} + 2 x$
170316	Find the Product	(x+a)(x+b)	$(x + a) (x + b)$
170317	Evaluate	i^-2	$i^{- 2}$
170318	Solve for n	-4(2n-3)=12-8n	$- 4 (2 n - 3) = 12 - 8 n$
170319	Solve the Inequality for x	x^2<x+2	$x^{2} < x + 2$
170320	Solve the System of Equations	10x+y=-45 2x+y=-5	$10 x + y = - 45$ $2 x + y = - 5$
170321	Evaluate	4/3pi7^3	$\frac{4}{3} \cdot π \cdot 7^{3}$
170322	Find the Inverse	\|x\|	$\| x \|$
170323	Find the LCD	(y+5)/(6y^2-6) and 7/(8y+8)	$\frac{y + 5}{6 y^{2} - 6}$ and $\frac{7}{8 y + 8}$
170324	Solve for x	1^2+x^2=2^2	$1^{2} + x^{2} = 2^{2}$
170325	Find the Roots (Zeros)	y=-x^2+4	$y = - x^{2} + 4$
170326	Solve for c	(15-5c)(5c+5)(-c+6)=0	$(15 - 5 c) (5 c + 5) (- c + 6) = 0$
170327	Solve the Absolute Value Inequality for p	(\|7p+4\|)/8=3	$\frac{\| 7 p + 4 \|}{8} = 3$
170328	Simplify	(3-2i)/i	$\frac{3 - 2 i}{i}$
170329	Multiply	(3/4)^2	${(\frac{3}{4})}^{2}$
170330	Simplify	(-9 square root of -63)(- square root of -49)	$(- 9 \sqrt{- 63}) (- \sqrt{- 49})$
170331	Graph	y=-x+2,x<1; x+1,x>=1	$y = {\begin{cases} - x + 2, x < 1 \\ x + 1, x \geq 1 \end{cases}$
170332	Graph	y=-(2x^2-4x-1)	$y = - (2 x^{2} - 4 x - 1)$
170333	Simplify	((x^2+9x+18)/(x^2+6x+8))÷((x^2-3x-18)/(x^2+2x-8))	$\frac{x^{2} + 9 x + 18}{x^{2} + 6 x + 8} \div \frac{x^{2} - 3 x - 18}{x^{2} + 2 x - 8}$
170334	Solve the Inequality for x	x+9<4x	$x + 9 < 4 x$
170335	Divide	(8/3)÷2	$\frac{8}{3} \div 2$
170336	Solve for b	-1/3b-1/6=1/3	$- \frac{1}{3} b - \frac{1}{6} = \frac{1}{3}$
170337	Subtract	(7u^2+10u+6) from (3u^2-5u+4)	$(7 u^{2} + 10 u + 6)$ from $(3 u^{2} - 5 u + 4)$
170338	Solve the Inequality for x	10-2(3x-1)>6x+10	$10 - 2 (3 x - 1) > 6 x + 10$
170339	Solve for x	(x+3)/(x-1)+(2x-1)/(1-x)=(x-1)/(x+1)	$\frac{x + 3}{x - 1} + \frac{2 x - 1}{1 - x} = \frac{x - 1}{x + 1}$
170340	Simplify	( square root of 4x^5)( square root of 8x^4)	$(\sqrt{4 x^{5}}) (\sqrt{8 x^{4}})$
170341	Solve for x	256=(1/4)^(3x+2)	$256 = {(\frac{1}{4})}^{3 x + 2}$
170342	Multiply	(-r^2+3r-7)(r^2-7)	$(- r^{2} + 3 r - 7) (r^{2} - 7)$
170343	Graph	g(x)=-f(-x)	$g (x) = - f (- x)$
170344	Solve for x	9x+26+7x-17=2x+(-3x)+5x	$9 x + 26 + 7 x - 17 = 2 x + (- 3 x) + 5 x$
170345	Evaluate	(x^3)/( square root of x)	$\frac{x^{3}}{\sqrt{x}}$
170346	Solve the Inequality for x	-12<=2x-2<-4	$- 12 \leq 2 x - 2 < - 4$
170347	Simplify	2/5(6-5p)	$\frac{2}{5} (6 - 5 p)$
170348	Simplify	x-(12-5x)	$x - (12 - 5 x)$
170349	Solve for θ	tan(theta)=4/3	$\tan (θ) = \frac{4}{3}$
170350	Simplify	(g(x+h)-g(x))/h	$\frac{g (x + h) - g (x)}{h}$
170351	Find the Holes in the Graph	(4(x+2)(x+1)(3x+4)(2x-3))/(3(x-2)(x^2-1)(2x-3)(x+2)^4)	$\frac{4 (x + 2) (x + 1) (3 x + 4) (2 x - 3)}{3 (x - 2) (x^{2} - 1) (2 x - 3) {(x + 2)}^{4}}$
170352	Evaluate	(x+y)^2=x^2+y^2	${(x + y)}^{2} = x^{2} + y^{2}$
170353	Evaluate	2-(-4)+(-7)	$2 - (- 4) + (- 7)$
170354	Graph	y=-f(x)-3	$y = - f (x) - 3$
170355	Simplify	(2x^2y)/(6xy^-1)	$\frac{2 x^{2} y}{6 x y^{- 1}}$
170356	Simplify	(2xy^3)^-2	${(2 x y^{3})}^{- 2}$
170357	Solve for x	x/9+7>=10	$\frac{x}{9} + 7 \geq 10$
170358	Find the Roots (Zeros)	f(t)=t^2(3t^2-10t+7)	$f (t) = t^{2} (3 t^{2} - 10 t + 7)$
170359	Divide Using Long Polynomial Division	(x^3-8x+6)÷(x^2-2x+1)	$(x^{3} - 8 x + 6) \div (x^{2} - 2 x + 1)$
170360	Simplify the Radical Expression	square root of x^16	$\sqrt{x^{16}}$
170361	Solve for x	1+3/(x-1)=(x+5)/(x^2-1)	$1 + \frac{3}{x - 1} = \frac{x + 5}{x^{2} - 1}$
170362	Solve Using the Quadratic Formula	4x^2-x+16+3x=7x-12-5x	$4 x^{2} - x + 16 + 3 x = 7 x - 12 - 5 x$
170363	Solve the Inequality for x	1/(x+4)<=-2/(1-x)	$\frac{1}{x + 4} \leq \frac{- 2}{1 - x}$
170364	Solve for b	(5x^7y^2)(-4x^4y^5)=-20x^ay^b	$(5 x^{7} y^{2}) (- 4 x^{4} y^{5}) = - 20 x^{a} y^{b}$
170365	Simplify	natural log of 1/(e^3)	$\ln (\frac{1}{e^{3}})$
170366	Evaluate	k(t)=13t-2	$k (t) = 13 t - 2$
170367	Simplify	(3+ square root of b)/(3 square root of b)	$\frac{3 + \sqrt{b}}{3 \sqrt{b}}$
170368	Solve the System of Equations	x+3y=1 -3x-3y=-15	$x + 3 y = 1$ $- 3 x - 3 y = - 15$
170369	Evaluate	(-18)+(-25)+13	$(- 18) + (- 25) + 13$
170370	Solve by Completing the Square	z(z+9)=1	$z (z + 9) = 1$
170371	Simplify	3y^2+2xy+1+3x+y+2x^2	$3 y^{2} + 2 x y + 1 + 3 x + y + 2 x^{2}$
170372	Rationalize the Denominator	4/( cube root of 2)	$\frac{4}{\sqrt[3]{2}}$
170373	Solve for S	5+2.75*S<=21	$5 + 2.75 \cdot S \leq 21$
170374	Factor	-24y-6x^3y^2z^3	$- 24 y - 6 x^{3} y^{2} z^{3}$
170375	Graph	y>=x^2+2x+1	$y \geq x^{2} + 2 x + 1$
170376	Solve for x	1/(x-5)+1/(x+5)=10/(x^2-25)	$\frac{1}{x - 5} + \frac{1}{x + 5} = \frac{10}{x^{2} - 25}$
170377	Write in Standard Form	x^2+5x-7=-3x	$x^{2} + 5 x - 7 = - 3 x$
170378	Solve the Inequality for x	3x^2+1<2x	$3 x^{2} + 1 < 2 x$
170379	Multiply	(3ab)/5*(4b)/(a^2)	$\frac{3 a b}{5} \cdot \frac{4 b}{a^{2}}$
170380	Find All Complex Solutions	-4cos(x)=-sin(x)^2+4	$- 4 \cos (x) = - \sin^{2} (x) + 4$
170381	Simplify	square root of 338x^6y^3z^4+ square root of 288x^6y^3z^4	$\sqrt{338 x^{6} y^{3} z^{4}} + \sqrt{288 x^{6} y^{3} z^{4}}$
170382	Simplify	((3^4)/(7^3))^3	${(\frac{3^{4}}{7^{3}})}^{3}$
170383	Evaluate	(2pi)÷(1/2)	$2 π \div \frac{1}{2}$
170384	Find the Domain and Range	f(x)=4+ square root of x-3	$f (x) = 4 + \sqrt{x - 3}$
170385	Find the Domain of the Composition f(g(x))	f(x)=2x+1 , g(x) = square root of x	$f (x) = 2 x + 1$ , $g (x) = \sqrt{x}$
170386	Solve the Inequality for x	8>=3+x	$8 \geq 3 + x$
170387	Find the Exact Value	tan(255 degrees )	$\tan (255 °)$
170388	Write the Fraction in Simplest Form	(45a^2b)/(30ab)	$\frac{45 a^{2} b}{30 a b}$
170389	Graph	f(x)=-x^2+x	$f (x) = - x^{2} + x$
170390	Factor	(x^2-10x+25)	$(x^{2} - 10 x + 25)$
170391	Solve the Absolute Value Inequality for x	\|x-3\|=7	$\| x - 3 \| = 7$
170392	Solve the Absolute Value Inequality for m	\|m+3\|=7	$\| m + 3 \| = 7$
170393	Simplify	-5/8(-3/8-1/4)	$- \frac{5}{8} (- \frac{3}{8} - \frac{1}{4})$
170394	Graph	y=1/3\|x-4\|	$y = \frac{1}{3} \| x - 4 \|$
170395	Find the x and y Intercepts	f(x)=4(1/2)^x	$f (x) = 4 {(\frac{1}{2})}^{x}$
170396	Solve the Inequality for x	2x^2<9x+5	$2 x^{2} < 9 x + 5$
170397	Divide	(6x^4+15x^2-8-20x^3)÷(-x^2+2x-1)	$(6 x^{4} + 15 x^{2} - 8 - 20 x^{3}) \div (- x^{2} + 2 x - 1)$
170398	Factor	15z^4-9x^3y^3z^5	$15 z^{4} - 9 x^{3} y^{3} z^{5}$
170399	Simplify	2/(5a^2)+1/(3ab)	$\frac{2}{5 a^{2}} + \frac{1}{3 a b}$
170400	Solve for t	4-t=3(t-1)-5	$4 - t = 3 (t - 1) - 5$