Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
223301	Solve the Inequality for x	tan(x)>=1	$\tan (x) \geq 1$
223302	Solve the System of Equations	7x+2y=4 and -5x-3y=5	$7 x + 2 y = 4$ and $- 5 x - 3 y = 5$
223303	Simplify	square root of 8* square root of 16	$\sqrt{8} \cdot \sqrt{16}$
223304	Simplify the Radical Expression	fourth root of 16x^6	$\sqrt[4]{16 x^{6}}$
223305	Solve the Rational Equation for x	8+1/(x-1)=x/(x-1)	$8 + \frac{1}{x - 1} = \frac{x}{x - 1}$
223306	Find the Vertex Form	x+3y^2+12y=18	$x + 3 y^{2} + 12 y = 18$
223307	Solve for x	(3x-3)(2x+1)-2x(3x-7.5)=0	$(3 x - 3) (2 x + 1) - 2 x (3 x - 7.5) = 0$
223308	Determine if True	sin(x)^2=sin(x)^2	$\sin^{2} (x) = \sin^{2} (x)$
223309	Find the Domain and Range	y=cot(-x)	$y = \cot (- x)$
223310	Simplify	13/(x-5)+x/(x^2-25)	$\frac{13}{x - 5} + \frac{x}{x^{2} - 25}$
223311	Simplify	3xi+10yi^2	$3 x i + 10 y i^{2}$
223312	Solve for b	6+b^2=70	$6 + b^{2} = 70$
223313	Simplify	(2xy(x-y)^2)/(x-y)	$\frac{2 x y {(x - y)}^{2}}{x - y}$
223314	Solve the Inequality for x	x<3x+2<2x+6	$x < 3 x + 2 < 2 x + 6$
223315	Graph	( square root of 2, square root of 2)	$(\sqrt{2}, \sqrt{2})$
223316	Evaluate	(2x^0y^2)^-3*2yx^3	${(2 x^{0} y^{2})}^{- 3} \cdot 2 y x^{3}$
223317	Solve for x	log base 2 of 4x- log base 2 of x-5 = log base 2 of 8	$\log_{2} (4 x) - \log_{2} (x - 5) = \log_{2} (8)$
223318	Simplify	( cube root of 205x^3)/( cube root of 2x^2)	$\frac{\sqrt[3]{205 x^{3}}}{\sqrt[3]{2 x^{2}}}$
223319	Graph	2y+x-4=0	$2 y + x - 4 = 0$
223320	Solve for x	square root of x/8 = square root of 90-x	$\sqrt{\frac{x}{8}} = \sqrt{90 - x}$
223321	Multiply	5/94/71/5	$\frac{5}{9} \cdot \frac{4}{7} \cdot \frac{1}{5}$
223322	Solve for c	c = square root of 3^2+4^2	$c = \sqrt{3^{2} + 4^{2}}$
223323	Divide	(-8/3)÷(1/4)	$- \frac{8}{3} \div \frac{1}{4}$
223324	Simplify	7-2x+3+5x+4x^2	$7 - 2 x + 3 + 5 x + 4 x^{2}$
223325	Graph	f(x)=1/2 cube root of x+1-5	$f (x) = \frac{1}{2} \sqrt[3]{x + 1} - 5$
223326	Solve for y	(6y-1)/y-3=2	$\frac{6 y - 1}{y} - 3 = 2$
223327	Factor	y=x^2-10+3x	$y = x^{2} - 10 + 3 x$
223328	Solve Using the Quadratic Formula	-6x^2+x-6=-8x^2	$- 6 x^{2} + x - 6 = - 8 x^{2}$
223329	Convert to Interval Notation	x<1 and x>-4	$x < 1$ and $x > - 4$
223330	Simplify	(a^2b^-1(ab^2)^3)/(a^-3b^4)	$\frac{a^{2} b^{- 1} {(a b^{2})}^{3}}{a^{- 3} b^{4}}$
223331	Solve the System of Equations	-x+2y=-9 and -5x+8y=-27	$- x + 2 y = - 9$ and $- 5 x + 8 y = - 27$
223332	Solve the System of Equations	3x-5y=8 and -7x+8y=-4	$3 x - 5 y = 8$ and $- 7 x + 8 y = - 4$
223333	Evaluate Using the Given Value	Given t=-9 the value of the expression 10t+t is equal to	Given $t = - 9$ the value of the expression $10 t + t$ is equal to
223334	Solve for a	a^2-ac=0	$a^{2} - a c = 0$
223335	Simplify	(5- square root of 5)/(1- square root of 5)	$\frac{5 - \sqrt{5}}{1 - \sqrt{5}}$
223336	Graph	y<2x -4 y>2x+1	$y < 2 x$ $- 4$ $y > 2 x + 1$
223337	Multiply	- square root of x*(- square root of x)	$- \sqrt{x} \cdot (- \sqrt{x})$
223338	Solve the Inequality for x	7x-3(4x-8)<=6x+12-9x	$7 x - 3 (4 x - 8) \leq 6 x + 12 - 9 x$
223339	Solve Using the Quadratic Formula	x^2+x=-9x-16	$x^{2} + x = - 9 x - 16$
223340	Subtract	(x^2)/(x^2-5x-36)-36/(x^2-5x-36)	$\frac{x^{2}}{x^{2} - 5 x - 36} - \frac{36}{x^{2} - 5 x - 36}$
223341	Solve the System of Inequalities	x<-4 3x+2y<=-2	$x < - 4$ $3 x + 2 y \leq - 2$
223342	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,2) and has a slope of 1/4 ?	What is the equation of the line that passes through the point $(- 4, 2)$ and has a slope of $\frac{1}{4}$ ?
223343	Simplify	(3xy^3)(6xz)	$(3 x y^{3}) (6 x z)$
223344	Find the Exact Value	cos(arccos(2/3)-arcsin(-1/3))	$\cos (\arccos (\frac{2}{3}) - \arcsin (- \frac{1}{3}))$
223345	Simplify	(x^3y^2z^6)/(z^5x^2y)	$\frac{x^{3} y^{2} z^{6}}{z^{5} x^{2} y}$
223346	Evaluate	80% of 60	$80 %$ of $60$
223347	Solve for x	3-(2x+1)=4(x+2)	$3 - (2 x + 1) = 4 (x + 2)$
223348	Graph	9x+4y<8 -3x-7y>=5	$9 x + 4 y < 8$ $- 3 x - 7 y \geq 5$
223349	Simplify	( fourth root of 2)^-4	${(\sqrt[4]{2})}^{- 4}$
223350	Graph	f(s)=6s^5-2s^4+s^2+3	$f (s) = 6 s^{5} - 2 s^{4} + s^{2} + 3$
223351	Simplify	((x^-2)/(x^5))^0	${(\frac{x^{- 2}}{x^{5}})}^{0}$
223352	Graph	y=-5/2 square root of x+6	$y = - \frac{5}{2} \sqrt{x} + 6$
223353	Find the LCD	7/x and 5/(5x+4)	$\frac{7}{x}$ and $\frac{5}{5 x + 4}$
223354	Graph	k(x)=4f(x)-2	$k (x) = 4 f (x) - 2$
223355	Simplify	9/64-2/128	$\frac{9}{64} - \frac{2}{128}$
223356	Multiply	(x^2+14x+33)/(4x)(x^2-3x)/(x+3)(8x-56)/(x^2+4x-77)	$\frac{x^{2} + 14 x + 33}{4 x} \cdot \frac{x^{2} - 3 x}{x + 3} \cdot \frac{8 x - 56}{x^{2} + 4 x - 77}$
223357	Find the x and y Intercepts	f(x)=-4x^2(x+6)(x^2-6)(x^2+25)(x+6)	$f (x) = - 4 x^{2} (x + 6) (x^{2} - 6) (x^{2} + 25) (x + 6)$
223358	Graph	3<=1/3+x	$3 \leq \frac{1}{3} + x$
223359	Simplify	(-3v^0s^-2)/(k^-8)	$\frac{- 3 v^{0} s^{- 2}}{k^{- 8}}$
223360	Divide	(20b^2c^3)/(4bc)	$\frac{20 b^{2} c^{3}}{4 b c}$
223361	Solve for w	-52=3w-15w-16	$- 52 = 3 w - 15 w - 16$
223362	Evaluate	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
223363	Find the Product	3(a-2)^2-(2-a)	$3 {(a - 2)}^{2} - (2 - a)$
223364	Solve the Inequality for x	-3x^2+28x>=x+54	$- 3 x^{2} + 28 x \geq x + 54$
223365	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-4x^4 square root of x+x^2-5x+17	$f (x) = - 4 x^{4} \sqrt{x} + x^{2} - 5 x + 17$
223366	Simplify	(3x^(2/3))(x^(1/3))	$(3 x^{\frac{2}{3}}) (x^{\frac{1}{3}})$
223367	Factor	168a^3w-14a^2yk-112a^3k+21a^2yw	$168 a^{3} w - 14 a^{2} y k - 112 a^{3} k + 21 a^{2} y w$
223368	Solve the System of Equations	x-3y=1 and 2x+2y=18	$x - 3 y = 1$ and $2 x + 2 y = 18$
223369	Evaluate	(5y-12)+(-5y-1)	$(5 y - 12) + (- 5 y - 1)$
223370	Simplify	7xy^2*10x^2	$7 x y^{2} \cdot 10 x^{2}$
223371	Solve for x	3^x=1/( square root of 3)	$3^{x} = \frac{1}{\sqrt{3}}$
223372	Write in Standard Form	x=(-5y-1)/4	$x = \frac{- 5 y - 1}{4}$
223373	Simplify	(2x^2+4xy-y^2)+(x^2+3xy-y^2)	$(2 x^{2} + 4 x y - y^{2}) + (x^{2} + 3 x y - y^{2})$
223374	Solve for s	1/(s+2)+1/(s-2)=4/(s^2-4)	$\frac{1}{s + 2} + \frac{1}{s - 2} = \frac{4}{s^{2} - 4}$
223375	Simplify	cos(theta)^2+cos(theta)^2+tan(theta)^2	$\cos^{2} (θ) + \cos^{2} (θ) + \tan^{2} (θ)$
223376	Graph Using a Table of Values	y=(x+2)^2-3	$y = {(x + 2)}^{2} - 3$
223377	Simplify	(-9x^2y^2+5x^2y-11xy+1)-(5x^2y^2-15xy-11)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) - (5 x^{2} y^{2} - 15 x y - 11)$
223378	Simplify	( square root of 128)÷( square root of 2)	$\sqrt{128} \div \sqrt{2}$
223379	Simplify the Radical Expression	(1/81)^(1/4)	${(\frac{1}{81})}^{\frac{1}{4}}$
223380	Simplify	((3^5)^2)/((8^2)^5)	$\frac{{(3^{5})}^{2}}{{(8^{2})}^{5}}$
223381	Simplify	(x-1)/(x^2-x-12)+(3-x)/(x^2-3x-4)	$\frac{x - 1}{x^{2} - x - 12} + \frac{3 - x}{x^{2} - 3 x - 4}$
223382	Evaluate	square root of fourth root of 8^10	$\sqrt{\sqrt[4]{8^{10}}}$
223383	Find the Exact Value	3/5-7/4+1/2	$\frac{3}{5} - \frac{7}{4} + \frac{1}{2}$
223384	Simplify	-4/(\|-4\|)	$\frac{- 4}{\| - 4 \|}$
223385	Evaluate	1/(a-b)+4/(b-a)-8/(a+b)-(11a-5b)/(b^2-a^2)	$\frac{1}{a - b} + \frac{4}{b - a} - \frac{8}{a + b} - \frac{11 a - 5 b}{b^{2} - a^{2}}$
223386	Simplify	((3^3)^2+(3^2)^3+3^2*3^4)/9	$\frac{{(3^{3})}^{2} + {(3^{2})}^{3} + 3^{2} \times 3^{4}}{9}$
223387	Find the Holes in the Graph	f(x)=(x^3+4x^2-21x)/(x^2+4x-21)	$f (x) = \frac{x^{3} + 4 x^{2} - 21 x}{x^{2} + 4 x - 21}$
223388	Multiply	x(7x^2+3x)	$x (7 x^{2} + 3 x)$
223389	Solve the System of Inequalities	x-4y>=6 3x+2y>5	$x - 4 y \geq 6$ $3 x + 2 y > 5$
223390	Simplify	(c^(2/3)d^-5)/(c^(1/6)d^-1)	$\frac{c^{\frac{2}{3}} d^{- 5}}{c^{\frac{1}{6}} d^{- 1}}$
223391	Find the Domain and Range	f^-1(x) = square root of x	$f^{- 1} (x) = \sqrt{x}$
223392	Solve for x	7(x+2)^(1/3)=0	$7 {(x + 2)}^{\frac{1}{3}} = 0$
223393	Simplify	(2xy^9)(-4x^2y^4z^3)	$(2 x y^{9}) (- 4 x^{2} y^{4} z^{3})$
223394	Solve for x	x/(x^2-9)+4/(x+3)=3/(x^2-9)	$\frac{x}{x^{2} - 9} + \frac{4}{x + 3} = \frac{3}{x^{2} - 9}$
223395	Simplify the Radical Expression	(2 square root of 10)/(3 square root of 11)	$\frac{2 \sqrt{10}}{3 \sqrt{11}}$
223396	Simplify	(4x^0)^-2	${(4 x^{0})}^{- 2}$
223397	Expand the Logarithmic Expression	log base 3 of ( square root of 5)/(q^2p)	$\log_{3} (\frac{\sqrt{5}}{q^{2} p})$
223398	Evaluate	(9*10)÷(4+1)+12	$(9 \cdot 10) \div (4 + 1) + 12$
223399	Simplify the Radical Expression	(24 square root of 225x^22)/(4 square root of 5x^4)	$\frac{24 \sqrt{225 x^{22}}}{4 \sqrt{5 x^{4}}}$
223400	Simplify	b^(n-2)*b^(n-3)	$b^{n - 2} \cdot b^{n - 3}$