Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
180301	Find the Exact Value	log of 1000	$\log (1000)$
180302	Simplify	(-3i^16)^3	${(- 3 i^{16})}^{3}$
180303	Solve for m	1-2/m=8/(m^2)	$1 - \frac{2}{m} = \frac{8}{m^{2}}$
180304	Divide	4 1/2÷6	$4 \frac{1}{2} \div 6$
180305	Graph	y=5/2cos(x-pi/4)	$y = \frac{5}{2} \cos (x - \frac{π}{4})$
180306	Solve the Inequality for x	\|2x-1\|<=5	$\| 2 x - 1 \| \leq 5$
180307	Solve for a	a=pi*4^2	$a = π \cdot 4^{2}$
180308	Graph Using a Table of Values	y=2^x-3	$y = 2^{x} - 3$
180309	Find the Exact Value	cube root of 128	$\sqrt[3]{128}$
180310	Graph	y<=\|4-x\|	$y \leq \| 4 - x \|$
180311	Simplify the Radical Expression	(6^-6)/(6^-5)	$\frac{6^{- 6}}{6^{- 5}}$
180312	Graph	-4(x+3)<=-2x	$- 4 (x + 3) \leq - 2 x$
180313	Graph	f(x)=(3x^2-12x)/(x^2-2x-3)	$f (x) = \frac{3 x^{2} - 12 x}{x^{2} - 2 x - 3}$
180314	Solve the Inequality for x	-6x>=18	$- 6 x \geq 18$
180315	Simplify	(( square root of 3)/3+5/2i)^2	${(\frac{\sqrt{3}}{3} + \frac{5}{2} i)}^{2}$
180316	Solve for x	3/2(2x+4)=x+20	$\frac{3}{2} (2 x + 4) = x + 20$
180317	Simplify	(3x)/((3x)^2+1)	$\frac{3 x}{{(3 x)}^{2} + 1}$
180318	Find the Midpoint	(10,6) and (4,9)	$(10, 6)$ and $(4, 9)$
180319	Graph	y<=-3/2x-7 y>=x+3	$y \leq - \frac{3}{2} x - 7$ $y \geq x + 3$
180320	Solve for θ	2cos(2theta)-1=0	$2 \cos (2 θ) - 1 = 0$
180321	Simplify	( cube root of 6* cube root of 72)/( cube root of 2)	$\frac{\sqrt[3]{6} \cdot \sqrt[3]{72}}{\sqrt[3]{2}}$
180322	Solve for x	(x^2+1)/(x-1)+x=2+2/(x-1)	$\frac{x^{2} + 1}{x - 1} + x = 2 + \frac{2}{x - 1}$
180323	Expand the Logarithmic Expression	log of ( cube root of y^4z^4)/x	$\log (\frac{\sqrt[3]{y^{4}} z^{4}}{x})$
180324	Graph	y=1/2tan(1/2x)	$y = \frac{1}{2} \tan (\frac{1}{2} x)$
180325	Solve for x	12+7x-9=3x+5-4(2-x)	$12 + 7 x - 9 = 3 x + 5 - 4 (2 - x)$
180326	Evaluate	(16 square root of x^3)^(1/4)	${(16 \sqrt{x^{3}})}^{\frac{1}{4}}$
180327	Find the Exact Value	cos(510 degrees )	$\cos (510 °)$
180328	Find the Exact Value	tan(480 degrees )	$\tan (480 °)$
180329	Solve the Inequality for x	(x-4)/(x+3)>0	$\frac{x - 4}{x + 3} > 0$
180330	Simplify	((-5x)/(4x-16))÷((x^2-3x)/(x^2-7x+12))	$\frac{- 5 x}{4 x - 16} \div \frac{x^{2} - 3 x}{x^{2} - 7 x + 12}$
180331	Simplify	((2^3)/(4^2))^5	${(\frac{2^{3}}{4^{2}})}^{5}$
180332	Solve the System of Equations	4x-y+z=10 2x+y+3z=4 -3x+2y+2z=-7	$4 x - y + z = 10$ $2 x + y + 3 z = 4$ $- 3 x + 2 y + 2 z = - 7$
180333	Simplify	((x-10)/25+1/x)/(1-x/5)	$\frac{\frac{x - 10}{25} + \frac{1}{x}}{1 - \frac{x}{5}}$
180334	Graph	f(x) = square root of x-2+k	$f (x) = \sqrt{x - 2} + k$
180335	Solve the Inequality for x	x^2<3	$x^{2} < 3$
180336	Solve for x	-(3/2)^x+12=2x-3	$- {(\frac{3}{2})}^{x} + 12 = 2 x - 3$
180337	Evaluate	(x+5)(x+3)	$(x + 5) (x + 3)$
180338	Find the Domain and Range	1+x^2	$1 + x^{2}$
180339	Evaluate	(x-2y)^2	${(x - 2 y)}^{2}$
180340	Solve for x	5(2x+1)^2=20	$5 {(2 x + 1)}^{2} = 20$
180341	Solve the Inequality for y	4y+3>2y+14	$4 y + 3 > 2 y + 14$
180342	Find the Inverse	f(x)=1/2(3x+4)	$f (x) = \frac{1}{2} (3 x + 4)$
180343	Solve for a	x^(2/3)x^(1/2)=x^a	$x^{\frac{2}{3}} x^{\frac{1}{2}} = x^{a}$
180344	Evaluate	3-1/2(3)^2	$3 - \frac{1}{2} {(3)}^{2}$
180345	Evaluate	12(3 2/3)	$12 (3 \frac{2}{3})$
180346	Graph	y=3/2cos(x+pi)	$y = \frac{3}{2} \cos (x + π)$
180347	Evaluate	cube root of (x^3+1)-1	$\sqrt[3]{(x^{3} + 1) - 1}$
180348	Solve for x	5/(x-2)=7-10/(x+2)	$\frac{5}{x - 2} = 7 - \frac{10}{x + 2}$
180349	Find the Function	f(x)=x^2+4x-5	$f (x) = x^{2} + 4 x - 5$
180350	Solve the Inequality for x	1/3<-x-5/6<2/3x+4	$\frac{1}{3} < - x - \frac{5}{6} < \frac{2}{3} x + 4$
180351	Determine the Number of Significant Figures	0.0005	$0.0005$
180352	Solve the Inequality for x	x^2-3x>=10	$x^{2} - 3 x \geq 10$
180353	Solve for k	(k+1)/3-k/5=3	$\frac{k + 1}{3} - \frac{k}{5} = 3$
180354	Simplify	((4xy^3)/(x^2))^2	${(\frac{4 x y^{3}}{x^{2}})}^{2}$
180355	Graph	-2(x+3)<=-12	$- 2 (x + 3) \leq - 12$
180356	Solve for y	1/3(y-2)-5/6(y+1)=3/4(y-3)-2	$\frac{1}{3} (y - 2) - \frac{5}{6} (y + 1) = \frac{3}{4} (y - 3) - 2$
180357	Simplify the Radical Expression	cube root of -64a^3	$\sqrt[3]{- 64 a^{3}}$
180358	Simplify	3i*(15+2i)	$3 i \cdot (15 + 2 i)$
180359	Graph	y=x+2 x=-3	$y = x + 2$ $x = - 3$
180360	Simplify	26*26^8	$26 \cdot 26^{8}$
180361	Solve for x	5(3-x)+8x=3(x+5)	$5 (3 - x) + 8 x = 3 (x + 5)$
180362	Solve for s	1/2(s-12)=1/4(s+16)	$\frac{1}{2} (s - 12) = \frac{1}{4} (s + 16)$
180363	Rationalize the Denominator	( square root of 3-1)/( square root of 3+1)	$\frac{\sqrt{3} - 1}{\sqrt{3} + 1}$
180364	Factor	ax-ay-bx+by	$a x - a y - b x + b y$
180365	Simplify	((3x^3y^0)/(x^-2))^4*((y^2x^-4)/(5xy^-8))^3	${(\frac{3 x^{3} y^{0}}{x^{- 2}})}^{4} \cdot {(\frac{y^{2} x^{- 4}}{5 x y^{- 8}})}^{3}$
180366	Graph	y=x\|x\|	$y = x \| x \|$
180367	Graph Using a Table of Values	y=4*(1/2)^x	$y = 4 \cdot {(\frac{1}{2})}^{x}$
180368	Simplify	7^-2(-3)^2	$7^{- 2} {(- 3)}^{2}$
180369	Find the Domain and Range	(x)=4^(-x)	$(x) = 4^{- x}$
180370	Solve for y	3y+(y-2)=2(2y-1)	$3 y + (y - 2) = 2 (2 y - 1)$
180371	Subtract	(3x^4-3x)-(3x-3x^4)	$(3 x^{4} - 3 x) - (3 x - 3 x^{4})$
180372	Solve the System of Equations	y=-x^2+2 y=x	$y = - x^{2} + 2$ $y = x$
180373	Solve by Substitution	2x-3y=38 -x-6=y	$2 x - 3 y = 38$ $- x - 6 = y$
180374	Graph	f(x)=1/8(x+2)(x-2)^2(x-4)	$f (x) = \frac{1}{8} (x + 2) {(x - 2)}^{2} (x - 4)$
180375	Solve for x	25^x<125^(x-3)	$25^{x} < 125^{x - 3}$
180376	Solve the System of Equations	3x-4y-5z=-27 5x+2y-2z=11 5x-4y+4z=-7	$3 x - 4 y - 5 z = - 27$ $5 x + 2 y - 2 z = 11$ $5 x - 4 y + 4 z = - 7$
180377	Simplify	(1/(2x^(1/2)))^2	${(\frac{1}{2 x^{\frac{1}{2}}})}^{2}$
180378	Solve for x	x/(x+1)+1=1/(x^2+x)	$\frac{x}{x + 1} + 1 = \frac{1}{x^{2} + x}$
180379	Convert to a Decimal	9/0	$\frac{9}{0}$
180380	Solve the Inequality for x	4x^2+16x<0	$4 x^{2} + 16 x < 0$
180381	Simplify	(f(4+h)-f(4))/h	$\frac{f (4 + h) - f (4)}{h}$
180382	Solve the System of Equations	10x-3y-81=0 -5x-7y-19=0	$10 x - 3 y - 81 = 0$ $- 5 x - 7 y - 19 = 0$
180383	Solve for x	(2x)/(x-2)=9+(25x^2)/(x-2)	$\frac{2 x}{x - 2} = 9 + \frac{25 x^{2}}{x - 2}$
180384	Subtract	-1/4-1/4	$- \frac{1}{4} - \frac{1}{4}$
180385	Convert to Polar	9x+y=10	$9 x + y = 10$
180386	Find f(g(x))	f(x)=3/x g(x)=3/x	$f (x) = \frac{3}{x}$ $g (x) = \frac{3}{x}$
180387	Graph	y>=1-x	$y \geq 1 - x$
180388	Find the First Term	a_n=(-2)^(n-1)	$a_{n} = {(- 2)}^{n - 1}$
180389	Solve for θ	1-sin(theta)=1/2	$1 - \sin (θ) = \frac{1}{2}$
180390	Solve the Inequality for m	3(2m-1)<=4m+7	$3 (2 m - 1) \leq 4 m + 7$
180391	Simplify	(xy^3)*(xy)^4	$(x y^{3}) \cdot {(x y)}^{4}$
180392	Evaluate	5^2+12^2=13^2	$5^{2} + 12^{2} = 13^{2}$
180393	Graph	3x+9<=30	$3 x + 9 \leq 30$
180394	Simplify	(csc(theta)+sec(theta))(sin(theta)-cos(theta))	$(\csc (θ) + \sec (θ)) (\sin (θ) - \cos (θ))$
180395	Find the Function	h(x)=2x	$h (x) = 2 x$
180396	Evaluate	2/3xy^2+2x-1/3xy^2+2/3x^2y-5x	$\frac{2}{3} x y^{2} + 2 x - \frac{1}{3} x y^{2} + \frac{2}{3} x^{2} y - 5 x$
180397	Simplify	(36x^2)/(64x^2y)	$\frac{36 x^{2}}{64 x^{2} y}$
180398	Solve the System of Equations	4x^2+9y^2=72 x-y^2=-1	$4 x^{2} + 9 y^{2} = 72$ $x - y^{2} = - 1$
180399	Convert to Interval Notation	g+7/4<=1	$g + \frac{7}{4} \leq 1$
180400	Graph	F(x)=x^3-3x^2-4x+12	$F (x) = x^{3} - 3 x^{2} - 4 x + 12$