Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
231301	Simplify	(a^2+8a-5a-40)/(a^2-25)	$\frac{a^{2} + 8 a - 5 a - 40}{a^{2} - 25}$
231302	Simplify	(-( square root of 2)/2)^2	${(- \frac{\sqrt{2}}{2})}^{2}$
231303	Solve the Absolute Value Inequality for x	2-3\|1-5x\|=-31	$2 - 3 \| 1 - 5 x \| = - 31$
231304	Evaluate	((6^0)^4)/(6^5)	$\frac{{(6^{0})}^{4}}{6^{5}}$
231305	Simplify	square root of (121x^3)/(49x)	$\sqrt{\frac{121 x^{3}}{49 x}}$
231306	Simplify the Radical Expression	square root of 64+ square root of -48+ square root of 25+ square root of -75	$\sqrt{64} + \sqrt{- 48} + \sqrt{25} + \sqrt{- 75}$
231307	Simplify	(x^15y^10z^-50)^(1/5)	${(x^{15} y^{10} z^{- 50})}^{\frac{1}{5}}$
231308	Evaluate	cube root of x^2=9	$\sqrt[3]{x^{2}} = 9$
231309	Multiply	square root of 10x^2* square root of 5x	$\sqrt{10 x^{2}} \cdot \sqrt{5 x}$
231310	Solve the Inequality for x	x^2-8x+12<=y	$x^{2} - 8 x + 12 \leq y$
231311	Evaluate	(3xy)^2*(-4x^3y^2)^3	${(3 x y)}^{2} \cdot {(- 4 x^{3} y^{2})}^{3}$
231312	Solve for x	7-4x+2x=9+3x+8	$7 - 4 x + 2 x = 9 + 3 x + 8$
231313	Simplify	( square root of 3)/( square root of xy)	$\frac{\sqrt{3}}{\sqrt{x y}}$
231314	Solve for x	2 cube root of x-3+15=10	$2 \sqrt[3]{x - 3 + 15} = 10$
231315	Evaluate	3*(9-(4+2)÷2)	$3 \times (9 - (4 + 2) \div 2)$
231316	Evaluate	-(2)(-3)^2	$- (2) {(- 3)}^{2}$
231317	Solve the Inequality for x	1/4x<-(3/2x+6)+x	$\frac{1}{4} x < - (\frac{3}{2} x + 6) + x$
231318	Simplify	5s^6t^2+6st^9-8s^6t^2-6t^7	$5 s^{6} t^{2} + 6 s t^{9} - 8 s^{6} t^{2} - 6 t^{7}$
231319	Solve for t	5t+1>=-t-1	$5 t + 1 \geq - t - 1$
231320	Simplify	(a^m+b^n)(a^m-b^n)	$(a^{m} + b^{n}) (a^{m} - b^{n})$
231321	Solve for w	w-1/2=5/8	$w - \frac{1}{2} = \frac{5}{8}$
231322	Solve for x	square root of x+28-2 square root of x+1=0	$\sqrt{x + 28} - 2 \sqrt{x + 1} = 0$
231323	Factor	x^2y^2+xy	$x^{2} y^{2} + x y$
231324	Find the Distance Between Two Points	(-3,5) and (7,-1)	$(- 3, 5)$ and $(7, - 1)$
231325	Evaluate	75% of 32	$75 %$ of $32$
231326	Evaluate	i^13i^29i^6	$i^{13} \cdot i^{29} \cdot i^{6}$
231327	Simplify	cube root of 3x+9 cube root of 3x-4 cube root of 3x	$\sqrt[3]{3 x} + 9 \sqrt[3]{3 x} - 4 \sqrt[3]{3 x}$
231328	Find the Distance Between Two Points	(3,-2) and (-4,5)	$(3, - 2)$ and $(- 4, 5)$
231329	Solve for x	(3x)/2-3=2x	$\frac{3 x}{2} - 3 = 2 x$
231330	Simplify	1/y+xy	$\frac{1}{y} + x y$
231331	Simplify	-1/(2/(( square root of 3)/2))	$- \frac{1}{\frac{2}{\frac{\sqrt{3}}{2}}}$
231332	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^3	$f (x) = x^{3}$
231333	Graph	-n<2 or 2n-3>5	$- n < 2$ or $2 n - 3 > 5$
231334	Solve the System of Inequalities	-n<2 or 2n-3>5	$- n < 2$ or $2 n - 3 > 5$
231335	Convert to a Decimal	tan(60)deg	$\tan (60)$ degrees
231336	Divide	(15x^3y^4)÷5x^2y^2	$15 x^{3} y^{4} \div 5 x^{2} y^{2}$
231337	Solve for b	square root of b-7+6<=12	$\sqrt{b - 7} + 6 \leq 12$
231338	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x^3+x-5x^5+1	$f (x) = 2 x^{3} + x - 5 x^{5} + 1$
231339	Solve for x	2x(a-b)=5b	$2 x (a - b) = 5 b$
231340	Divide	((3k+5)/(3k^4+5k^3))÷((35k^2+2k-1)/(7k^3-k^2))	$\frac{3 k + 5}{3 k^{4} + 5 k^{3}} \div \frac{35 k^{2} + 2 k - 1}{7 k^{3} - k^{2}}$
231341	Solve for c	c^3-27=0	$c^{3} - 27 = 0$
231342	Evaluate	e^(2x)-e^x-6=0	$e^{2 x} - e^{x} - 6 = 0$
231343	Find the Exact Value	1/(4^-3)	$\frac{1}{4^{- 3}}$
231344	Find the Inverse	f(x)=x+2 square root of x-1	$f (x) = x + 2 \sqrt{x - 1}$
231345	Solve the Inequality for x	-5<=(4-3x)/2<1	$- 5 \leq \frac{4 - 3 x}{2} < 1$
231346	Divide Using Long Polynomial Division	(g^3-2g^2+3g-1)/(g^2-2g)	$\frac{g^{3} - 2 g^{2} + 3 g - 1}{g^{2} - 2 g}$
231347	Solve for x	(\|x\|)/7=5	$\frac{\| x \|}{7} = 5$
231348	Solve for x	log base 9 of x-4+ log base 9 of x+1 = log base 9 of x+5+ log base 9 of x-6	$\log_{9} (x - 4) + \log_{9} (x + 1) = \log_{9} (x + 5) + \log_{9} (x - 6)$
231349	Graph	x=3-1/2y	$x = 3 - \frac{1}{2} y$
231350	Simplify	((5xy)/((x-y)(x-y)))((x-y)/(x+y))	$(\frac{5 x y}{(x - y) (x - y)}) (\frac{x - y}{x + y})$
231351	Graph	2x=-1/2y	$2 x = - \frac{1}{2} y$
231352	Simplify	csc(45 degrees )	$\csc (45 °)$
231353	Solve the Rational Equation for x	-2+x/(x+5)=-5/(x+5)	$- 2 + \frac{x}{x + 5} = - \frac{5}{x + 5}$
231354	Graph	\|x\|>=3 \|y\|<=4	$\| x \| \geq 3$ $\| y \| \leq 4$
231355	Simplify	((3k+5)/(3k^4+5k^3))÷((35k^2+2k-1)/(7k^3-k^2))	$\frac{3 k + 5}{3 k^{4} + 5 k^{3}} \div \frac{35 k^{2} + 2 k - 1}{7 k^{3} - k^{2}}$
231356	Write in Standard Form	(x-1)^2(x+1)	${(x - 1)}^{2} (x + 1)$
231357	Simplify	p^(x-1)p^(x+1)	$p^{x - 1} p^{x + 1}$
231358	Simplify	\|(1+i)^n\|	$\| {(1 + i)}^{n} \|$
231359	Write in Slope-Intercept Form	-15x=11+y	$- 15 x = 11 + y$
231360	Evaluate	(3x^-2y^4)^-3	${(3 x^{- 2} y^{4})}^{- 3}$
231361	Evaluate	2pi(1/4)	$2 π (\frac{1}{4})$
231362	Factor	4x^2+1-4x	$4 x^{2} + 1 - 4 x$
231363	Evaluate	-1/(2(3)^(1/2))-(3(3)^(1/2))/4	$- \frac{1}{2 {(3)}^{\frac{1}{2}}} - \frac{3 {(3)}^{\frac{1}{2}}}{4}$
231364	Graph	{(x,y)\|y>2}	${(x, y) \| y > 2}$
231365	Solve for h	-1/3h>=8	$- \frac{1}{3} h \geq 8$
231366	Subtract	(3c)/(c-4)-2/5	$\frac{3 c}{c - 4} - \frac{2}{5}$
231367	Solve for n	-40=-4 square root of 17n-2	$- 40 = - 4 \sqrt{17 n - 2}$
231368	Simplify the Radical Expression	square root of -16x^2y^8	$\sqrt{- 16 x^{2} y^{8}}$
231369	Simplify	cube root of (64x^3)/8	$\sqrt[3]{\frac{64 x^{3}}{8}}$
231370	Find the Domain and Range	y = square root of 3-s	$y = \sqrt{3} - s$
231371	Solve the Rational Equation for x	square root of x-4=0	$\sqrt{x - 4} = 0$
231372	Evaluate	(81x)^(1/4)	${(81 x)}^{\frac{1}{4}}$
231373	Simplify	9y-(3-8(y-4))	$9 y - (3 - 8 (y - 4))$
231374	Solve the Inequality for m	3m>=6	$3 m \geq 6$
231375	Simplify	(x^3+6x^2-17x+2)-(x^3-x^2-11x+36)	$(x^{3} + 6 x^{2} - 17 x + 2) - (x^{3} - x^{2} - 11 x + 36)$
231376	Multiply	(x^2+5x-6)/(x^2-9x+8)*(x^2)/(3x+18)	$\frac{x^{2} + 5 x - 6}{x^{2} - 9 x + 8} \cdot \frac{x^{2}}{3 x + 18}$
231377	Solve the Inequality for m	4(3m+10)>=-3m-51+8m	$4 (3 m + 10) \geq - 3 m - 51 + 8 m$
231378	Multiply	(x^2-1)/(5xy)*(x^2y)/(1+x)	$\frac{x^{2} - 1}{5 x y} \cdot \frac{x^{2} y}{1 + x}$
231379	Simplify	(8(m+1))/(7m)*9/(8(m+1))	$\frac{8 (m + 1)}{7 m} \cdot \frac{9}{8 (m + 1)}$
231380	Solve for x	((4^6)/(4^x))^3=4^6	${(\frac{4^{6}}{4^{x}})}^{3} = 4^{6}$
231381	Simplify	-12i square root of 98	$- 12 i \sqrt{98}$
231382	Evaluate	(x+2)(x+3)=x^2+5x+6	$(x + 2) (x + 3) = x^{2} + 5 x + 6$
231383	Graph	1/2x=y	$\frac{1}{2} x = y$
231384	Simplify	(a^2-2ab+b^2)+(2a^2+2ab+b^2)	$(a^{2} - 2 a b + b^{2}) + (2 a^{2} + 2 a b + b^{2})$
231385	Simplify	4x^2+5x-3x^2+2y-3x+2y^2	$4 x^{2} + 5 x - 3 x^{2} + 2 y - 3 x + 2 y^{2}$
231386	Solve for x	1 2/3÷5.5+1 7/12÷(2.25-x)=1 1/6	$1 \frac{2}{3} \div 5.5 + 1 \frac{7}{12} \div (2.25 - x) = 1 \frac{1}{6}$
231387	Simplify	5-(4-7)/(5-4)	$5 - \frac{4 - 7}{5 - 4}$
231388	Solve the Inequality for x	2+\|1-x/2\|>=5	$2 + \| 1 - \frac{x}{2} \| \geq 5$
231389	Simplify	tan(A)-csc(A)sec(A)(1-cos(A)^2)	$\tan (A) - \csc (A) \sec (A) (1 - \cos^{2} (A))$
231390	Solve for x	(x+7)^2=x^2+14x+49	${(x + 7)}^{2} = x^{2} + 14 x + 49$
231391	Find the Symmetry	x-4y=8	$x - 4 y = 8$
231392	Find the Inverse	f(x)=5(( fifth root of x)/6+9)	$f (x) = 5 (\frac{\sqrt[5]{x}}{6} + 9)$
231393	Solve the Rational Equation for x	square root of x^2-6x+9+2x=9	$\sqrt{x^{2} - 6 x + 9} + 2 x = 9$
231394	Simplify	(a-5)/(15a^2b^3)+8/(24ab^3)	$\frac{a - 5}{15 a^{2} b^{3}} + \frac{8}{24 a b^{3}}$
231395	Solve for x	square root of 25x- square root of 16x=3	$\sqrt{25 x} - \sqrt{16 x} = 3$
231396	Simplify	x(2x^2+1)	$x (2 x^{2} + 1)$
231397	Solve for t	t^(1/2)-4t^(1/4)+4=0	$t^{\frac{1}{2}} - 4 t^{\frac{1}{4}} + 4 = 0$
231398	Solve for r	d=(r+10)t	$d = (r + 10) t$
231399	Solve for c	(4c)/(c-5)-1/(c+1)=(3c^2+3)/(c^2-4c-5)	$\frac{4 c}{c - 5} - \frac{1}{c + 1} = \frac{3 c^{2} + 3}{c^{2} - 4 c - 5}$
231400	Evaluate	4(-3/2)^2-3	$4 {(- \frac{3}{2})}^{2} - 3$