Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
180201	Simplify	((a^5y^3)/(wy^7))÷((a^3w^2)/(w^5y^2))	$\frac{a^{5} y^{3}}{w y^{7}} \div \frac{a^{3} w^{2}}{w^{5} y^{2}}$
180202	Simplify	square root of xy^2* square root of x^3y^7	$\sqrt{x y^{2}} \cdot \sqrt{x^{3} y^{7}}$
180203	Solve for x	5x+2x-3=-3x+10x	$5 x + 2 x - 3 = - 3 x + 10 x$
180204	Simplify	((x-3)/10-1/x)/(1/5-x/25)	$\frac{\frac{x - 3}{10} - \frac{1}{x}}{\frac{1}{5} - \frac{x}{25}}$
180205	Solve the Inequality for x	x/3+10>=15	$\frac{x}{3} + 10 \geq 15$
180206	Solve the Inequality for x	-1/2(16x-4)<=2x-18	$- \frac{1}{2} (16 x - 4) \leq 2 x - 18$
180207	Find the Function	g(x)=x+4	$g (x) = x + 4$
180208	Find the Exact Value	(-3)^-3	${(- 3)}^{- 3}$
180209	Simplify	((2s^2-7s-15)/((s+4)^2))÷((s^2-10s+25)/(s+4))	$\frac{2 s^{2} - 7 s - 15}{{(s + 4)}^{2}} \div \frac{s^{2} - 10 s + 25}{s + 4}$
180210	Solve the Inequality for x	((x+5)(x+1))/(x-4)>=0	$\frac{(x + 5) (x + 1)}{x - 4} \geq 0$
180211	Graph	g(x)=f(-x)+3	$g (x) = f (- x) + 3$
180212	Solve for x	(x-2)/(x-3)+3=(2x)/x	$\frac{x - 2}{x - 3} + 3 = \frac{2 x}{x}$
180213	Simplify	5xy^2 square root of 28x^2y^2	$5 x y^{2} \sqrt{28 x^{2} y^{2}}$
180214	Solve for L	T=2pi square root of L/9.8	$T = 2 π \sqrt{\frac{L}{9.8}}$
180215	Simplify	-2 fourth root of 80x^8y^9z	$- 2 \sqrt[4]{80 x^{8} y^{9} z}$
180216	Divide	4÷(-8)	$4 \div (- 8)$
180217	Find the Midpoint	(5,9) and (0,3)	$(5, 9)$ and $(0, 3)$
180218	Graph	f(x)=x+2 if x<=-4; -1 if -4=5	$f (x) = {\begin{cases} x + 2 & x \leq - 4 \\ - 1 & - 4 = 5 \end{cases}$
180219	Solve for a	2a+3(3a-5)=-4	$2 a + 3 (3 a - 5) = - 4$
180220	Solve the Inequality for x	6/7x-1/6<=11/14x-6/7	$\frac{6}{7} x - \frac{1}{6} \leq \frac{11}{14} x - \frac{6}{7}$
180221	Factor	1+(x+y)^3	$1 + {(x + y)}^{3}$
180222	Find the Domain and Range	(x^2)/(x^2+1)	$\frac{x^{2}}{x^{2} + 1}$
180223	Convert to Radical Form	5^3*5^4	$5^{3} \cdot 5^{4}$
180224	Evaluate	2(x-1)^2	$2 {(x - 1)}^{2}$
180225	Solve for x	ax+t=2b	$a x + t = 2 b$
180226	Simplify	(8^-2r^-8)/(s^-10)	$\frac{8^{- 2} r^{- 8}}{s^{- 10}}$
180227	Graph	4-x/7<=5	$4 - \frac{x}{7} \leq 5$
180228	Solve for v	18^(v+9)-8=64	$18^{v + 9} - 8 = 64$
180229	Simplify the Radical Expression	6/( square root of 3)	$\frac{6}{\sqrt{3}}$
180230	Solve the System of Equations	y=-1/3x+7 y=-2x^3+5x^2+x-2	$y = - \frac{1}{3} x + 7$ $y = - 2 x^{3} + 5 x^{2} + x - 2$
180231	Solve the Absolute Value Inequality for x	\|x+3\|=7	$\| x + 3 \| = 7$
180232	Graph	f(x)=-3x-21 if x<=-5; 2x-19 if x>5	$f (x) = {\begin{cases} - 3 x - 21 & x \leq - 5 \\ 2 x - 19 & x > 5 \end{cases}$
180233	Determine the Number of Significant Figures	300	$300$
180234	Evaluate	3/(3^2+1)	$\frac{3}{3^{2} + 1}$
180235	Factor	49(y-4)^2-9(y+2)^2	$49 {(y - 4)}^{2} - 9 {(y + 2)}^{2}$
180236	Graph	2x>=y	$2 x \geq y$
180237	Simplify	sin(45 degrees )	$\sin (45 °)$
180238	Solve the Inequality for x	7(x-2)<-5	$7 (x - 2) < - 5$
180239	Solve for x	\|2x+1\|<\|2x-3\|	$\| 2 x + 1 \| < \| 2 x - 3 \|$
180240	Solve for m	16-(7m+3)=8(1-m)	$16 - (7 m + 3) = 8 (1 - m)$
180241	Simplify	square root of square root of square root of x^8	$\sqrt{\sqrt{\sqrt{x^{8}}}}$
180242	Complete the Square	6x+55=x^2	$6 x + 55 = x^{2}$
180243	Simplify	(4x^5-100x^3)/(x^2+3x)*(x^2-9)/(4x^2-32x+60)	$\frac{4 x^{5} - 100 x^{3}}{x^{2} + 3 x} \cdot \frac{x^{2} - 9}{4 x^{2} - 32 x + 60}$
180244	Solve the Inequality for x	-3<=x<4	$- 3 \leq x < 4$
180245	Find the Product	e+1.2=2	$e + 1.2 = 2$
180246	Solve the Inequality for x	-10x+3>x-19	$- 10 x + 3 > x - 19$
180247	Simplify	(1-(x^2)/25)/(x/5+1)	$\frac{1 - \frac{x^{2}}{25}}{\frac{x}{5} + 1}$
180248	Find the x and y Intercepts	f(x)=-6-x^3-9x^2+3x	$f (x) = - 6 - x^{3} - 9 x^{2} + 3 x$
180249	Find the Exact Value	sec(495 degrees )	$\sec (495 °)$
180250	Write in Standard Form	2x^2-14-x=-x^2	$2 x^{2} - 14 - x = - x^{2}$
180251	Write in Standard Form	y=x^2+6x+5	$y = x^{2} + 6 x + 5$
180252	Expand the Logarithmic Expression	log of x/(y^4 cube root of z)	$\log (\frac{x}{y^{4} \sqrt[3]{z}})$
180253	Simplify	((x+4)/5-1/x)/(1-25/(x^2))	$\frac{\frac{x + 4}{5} - \frac{1}{x}}{1 - \frac{25}{x^{2}}}$
180254	Simplify	( fourth root of 5^3)^(1/2)	${(\sqrt[4]{5^{3}})}^{\frac{1}{2}}$
180255	Solve for h	3/2(4+1/2h)=1/4(12+6h)	$\frac{3}{2} (4 + \frac{1}{2} h) = \frac{1}{4} (12 + 6 h)$
180256	Find the Midpoint	(8,7) and (4,3)	$(8, 7)$ and $(4, 3)$
180257	Evaluate	1/2(9)(9)	$\frac{1}{2} (9) (9)$
180258	Solve the System of Equations	y=1/3x+2 -x+3y=6	$y = \frac{1}{3} x + 2$ $- x + 3 y = 6$
180259	Find the Product	(x+12)^2	${(x + 12)}^{2}$
180260	Solve for x	-3/5(15x-30)=198	$- \frac{3}{5} (15 x - 30) = 198$
180261	Solve for s	9(2/3s-1)=-2s	$9 (\frac{2}{3} s - 1) = - 2 s$
180262	Find the Fourth Term	81/25 , 27/5 , 9	$\frac{81}{25}$ , $\frac{27}{5}$ , $9$
180263	Find the Inverse	f(x)=(x^(1/5))/9+7	$f (x) = \frac{x^{\frac{1}{5}}}{9} + 7$
180264	Solve the System of Equations	x+3y=7 2x-4y=24	$x + 3 y = 7$ $2 x - 4 y = 24$
180265	Graph	y>-x+3 y<=1/2x+6	$y > - x + 3$ $y \leq \frac{1}{2} x + 6$
180266	Simplify	-(2-x)-3(6+8x)-12	$- (2 - x) - 3 (6 + 8 x) - 12$
180267	Solve for x	1/(x-1)-7/(x-3)=2/(x^2-4x+3)	$\frac{1}{x - 1} - \frac{7}{x - 3} = \frac{2}{x^{2} - 4 x + 3}$
180268	Find the Inverse	f(x)=2+4/(e^(x-6))	$f (x) = 2 + \frac{4}{e^{x - 6}}$
180269	Graph	g(x)=-1/2(x+5)(x-1)^2(x+2)	$g (x) = - \frac{1}{2} (x + 5) {(x - 1)}^{2} (x + 2)$
180270	Solve for n	6=-1/2n	$6 = - \frac{1}{2} n$
180271	Find the Distance Between Two Points	(-1,8) and (8,5)	$(- 1, 8)$ and $(8, 5)$
180272	Find the Exact Value	(1/2)^6	${(\frac{1}{2})}^{6}$
180273	Solve for r	3(7r-2)=21r-6	$3 (7 r - 2) = 21 r - 6$
180274	Graph	f^-1(x) = cube root of x-5	$f^{- 1} (x) = \sqrt[3]{x - 5}$
180275	Evaluate	(1+i)^3	${(1 + i)}^{3}$
180276	Graph	\|x-1\|>=2	$\| x - 1 \| \geq 2$
180277	Find the Midpoint	(3,10) and (8,6)	$(3, 10)$ and $(8, 6)$
180278	Find the Exact Value	3^2+4^2	$3^{2} + 4^{2}$
180279	Solve for x	6- square root of 4+3x=2	$6 - \sqrt{4 + 3 x} = 2$
180280	Graph	x=e^y	$x = e^{y}$
180281	Solve for x	x-(x+2)/(x+3)=1/(x+3)	$x - \frac{x + 2}{x + 3} = \frac{1}{x + 3}$
180282	Find the x and y Intercepts	(-x+4)(x+1)=y	$(- x + 4) (x + 1) = y$
180283	Graph	y=-1/2 square root of x-2+2	$y = - \frac{1}{2} \sqrt{x - 2} + 2$
180284	Simplify	(2y)/(y+8)+(3y)/(y^2-64)-4/(y-8)	$\frac{2 y}{y + 8} + \frac{3 y}{y^{2} - 64} - \frac{4}{y - 8}$
180285	Find the Roots (Zeros)	2x^2-10x=-7x-2	$2 x^{2} - 10 x = - 7 x - 2$
180286	Simplify	(5x^2y^9)/(15y^9x^4)	$\frac{5 x^{2} y^{9}}{15 y^{9} x^{4}}$
180287	Find f(h(x))	f(x)=x^3-6 h(x) = cube root of 2x-15	$f (x) = x^{3} - 6$ $h (x) = \sqrt[3]{2 x - 15}$
180288	Evaluate	-6+3(2+(-4t))	$- 6 + 3 (2 + (- 4 t))$
180289	Find the Midpoint	(8,2) and (1,10)	$(8, 2)$ and $(1, 10)$
180290	Solve the Inequality for X	\|X+4\|<=8	$\| X + 4 \| \leq 8$
180291	Solve for x	4-(10x+1)/6=4x-(16x+3)/4	$4 - \frac{10 x + 1}{6} = 4 x - \frac{16 x + 3}{4}$
180292	Graph Using a Table of Values	f(x)=4x+5	$f (x) = 4 x + 5$
180293	Solve the Inequality for x	19-x>=21	$19 - x \geq 21$
180294	Find the Exact Value	2/3+3/4	$\frac{2}{3} + \frac{3}{4}$
180295	Find the Exact Value	log base 16 of 2	$\log_{16} (2)$
180296	Evaluate	g^-1(2)	$g^{- 1} (2)$
180297	Graph	x/-2+1>4	$\frac{x}{- 2} + 1 > 4$
180298	Solve for y	square root of 5y-3 = square root of 7y+9	$\sqrt{5 y - 3} = \sqrt{7 y + 9}$
180299	Find p(q(x))	p(x)=x^2+3 q(x) = square root of x+2	$p (x) = x^{2} + 3$ $q (x) = \sqrt{x + 2}$
180300	Describe the Transformation	f(x)=-\|1/3(x+3)\|	$f (x) = - \| \frac{1}{3} (x + 3) \|$