Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184201	Multiply	5/154/143/13	$\frac{5}{15} \cdot \frac{4}{14} \cdot \frac{3}{13}$
184202	Find the Function	f(x)=x^2+6x	$f (x) = x^{2} + 6 x$
184203	Graph	y^2=-3x-2	$y^{2} = - 3 x - 2$
184204	Solve for y	y=(y(y^3)^2)/(y^3)	$y = \frac{y {(y^{3})}^{2}}{y^{3}}$
184205	Graph	f(x)=-3/2\|x\|+5 if x<=4; -2x+3 if x>4	$f (x) = {\begin{cases} - \frac{3}{2} \| x \| + 5 & x \leq 4 \\ - 2 x + 3 & x > 4 \end{cases}$
184206	Identify the Sequence	1 , 2 , 4 , 8 , 16 , 32	$1$ , $2$ , $4$ , $8$ , $16$ , $32$
184207	Convert to Interval Notation	{x\|-1<=x}	${x \| - 1 \leq x}$
184208	Simplify	a^2+1-3a+2a^2+2a	$a^{2} + 1 - 3 a + 2 a^{2} + 2 a$
184209	Simplify	(x^2+8x-20)/(x^4+7x^3-18x^2)*(4x^4+8x^3-252x^2)/(6x+60)	$\frac{x^{2} + 8 x - 20}{x^{4} + 7 x^{3} - 18 x^{2}} \cdot \frac{4 x^{4} + 8 x^{3} - 252 x^{2}}{6 x + 60}$
184210	Simplify	((x-2)/3-1/x)/(x/3-(x^2)/9)	$\frac{\frac{x - 2}{3} - \frac{1}{x}}{\frac{x}{3} - \frac{x^{2}}{9}}$
184211	Solve for x	2/5x+1/2=7/6	$\frac{2}{5} x + \frac{1}{2} = \frac{7}{6}$
184212	Find the Exact Value	-2^-2	$- 2^{- 2}$
184213	Solve for x	x^2=36^2	$x^{2} = 36^{2}$
184214	Find g(f(x))	f(x)=2x^2-7x+6 g(x)=4x+10	$f (x) = 2 x^{2} - 7 x + 6$ $g (x) = 4 x + 10$
184215	Find the Function	h(t)=-t^2+t+1	$h (t) = - t^{2} + t + 1$
184216	Solve for x	-x^2+9=9	$- x^{2} + 9 = 9$
184217	Simplify	3y-y+5x+3-7x	$3 y - y + 5 x + 3 - 7 x$
184218	Combine Like Terms	(2+7x)(2-7x)	$(2 + 7 x) (2 - 7 x)$
184219	Solve for x	5x-(x+4)=2(x-3)	$5 x - (x + 4) = 2 (x - 3)$
184220	Simplify	-3+(8+2i)+7i	$- 3 + (8 + 2 i) + 7 i$
184221	Solve for q	-16=-15/16(4/5q+32/3)	$- 16 = - \frac{15}{16} (\frac{4}{5} q + \frac{32}{3})$
184222	Simplify	(cos(x))/(cos(x)^2)	$\frac{\cos (x)}{\cos^{2} (x)}$
184223	Solve the Inequality for x	(-x+5)/(x-8)>=0	$\frac{- x + 5}{x - 8} \geq 0$
184224	Solve the System of Equations	x+8=y-1 z+13=x+16 y-12=z-6	$x + 8 = y - 1$ $z + 13 = x + 16$ $y - 12 = z - 6$
184225	Subtract	(4n-3n^3)-(3n^3+4n)	$(4 n - 3 n^{3}) - (3 n^{3} + 4 n)$
184226	Find the Product	-7p^3(4p^2+3p-1)	$- 7 p^{3} (4 p^{2} + 3 p - 1)$
184227	Subtract	16a^2-32a+9 from 12a^2+60a-8	$16 a^{2} - 32 a + 9$ from $12 a^{2} + 60 a - 8$
184228	Simplify	-8+(15-3)÷4	$- 8 + (15 - 3) \div 4$
184229	Find the Exact Value	-2^6	$- 2^{6}$
184230	Solve for f	4-7f=f-12	$4 - 7 f = f - 12$
184231	Solve for w	6(w-2)+1=2(3w-5)	$6 (w - 2) + 1 = 2 (3 w - 5)$
184232	Solve the Inequality for x	-96<=8(x-6)	$- 96 \leq 8 (x - 6)$
184233	Solve for b	-8(5b-10)+5=-115	$- 8 (5 b - 10) + 5 = - 115$
184234	Write in Slope-Intercept Form	(-9,7) and (-6,-3)	$(- 9, 7)$ and $(- 6, - 3)$
184235	Solve for x	2(x^2+x-11)^(3/2)=54	$2 {(x^{2} + x - 11)}^{\frac{3}{2}} = 54$
184236	Simplify	(7+9i)+(-5i)	$(7 + 9 i) + (- 5 i)$
184237	Solve the Inequality for x	3(8-4x)<6(x-5) ?	$3 (8 - 4 x) < 6 (x - 5)$ ?
184238	Simplify	(2+10/x)/(1-(x^2)/25)	$\frac{2 + \frac{10}{x}}{1 - \frac{x^{2}}{25}}$
184239	Find the Exact Value	2sin(112.5 degrees )cos(112.5 degrees )	$2 \sin (112.5 °) \cos (112.5 °)$
184240	Solve for a	ab-3=-2b	$a b - 3 = - 2 b$
184241	Solve the Inequality for x	(x+1)/(x-3)>=0	$\frac{x + 1}{x - 3} \geq 0$
184242	Write in Standard Form	2x(9-5x)=-5x(2-3x)	$2 x (9 - 5 x) = - 5 x (2 - 3 x)$
184243	Solve for q	\|7-2q\|=3	$\| 7 - 2 q \| = 3$
184244	Find the Product	2e-3-1/5e=7/5+3e+4	$2 e - 3 - \frac{1}{5} e = \frac{7}{5} + 3 e + 4$
184245	Solve the System of Inequalities	-9x+5<17 ; AND , 13x+25<-1	$- 9 x + 5 < 17$ ; AND , $13 x + 25 < - 1$
184246	Evaluate	(m-3)(m+3)	$(m - 3) (m + 3)$
184247	Graph	H(x)=1- log base 8 of x	$H (x) = 1 - \log_{8} (x)$
184248	Evaluate	5(1/2)^2	$5 {(\frac{1}{2})}^{2}$
184249	Solve for x	2pi=(2pi)/x	$2 π = \frac{2 π}{x}$
184250	Solve for q	4(3q-2)=16q	$4 (3 q - 2) = 16 q$
184251	Find the Distance Between Two Points	(6,-6) and (2,-2)	$(6, - 6)$ and $(2, - 2)$
184252	Evaluate	-7-4p-(-5)	$- 7 - 4 p - (- 5)$
184253	Evaluate	log base 4 of 5^4	$\log_{4} (5^{4})$
184254	Solve the Inequality for x	\|x\|=5	$\| x \| = 5$
184255	Solve for h	60=3/4h	$60 = \frac{3}{4} h$
184256	Simplify	(9p+9q)/(9p-9q)	$\frac{9 p + 9 q}{9 p - 9 q}$
184257	Find the Excluded Values	(v^2+1)/(v^2-v-6)	$\frac{v^{2} + 1}{v^{2} - v - 6}$
184258	Solve for a	x/(x^(3/5))=x^a	$\frac{x}{x^{\frac{3}{5}}} = x^{a}$
184259	Solve for x	4(3x-6)^2+5=21	$4 {(3 x - 6)}^{2} + 5 = 21$
184260	Find the Holes in the Graph	(2x+8)/(x^2+x-12)	$\frac{2 x + 8}{x^{2} + x - 12}$
184261	Write in Exponential Form	(8^(2/3))^4	${(8^{\frac{2}{3}})}^{4}$
184262	Solve the System of Equations	y=3x^2+5 and y=5	$y = 3 x^{2} + 5$ and $y = 5$
184263	Solve the System of Equations	x+3y-z=-3 -2x-2y+z=8 -x-4y+3z=6	$x + 3 y - z = - 3$ $- 2 x - 2 y + z = 8$ $- x - 4 y + 3 z = 6$
184264	Solve for x	4x^2=x	$4 x^{2} = x$
184265	Solve the Inequality for x	x/-2+1>4	$\frac{x}{- 2} + 1 > 4$
184266	Evaluate	- fifth root of 32^4	$- \sqrt[5]{32^{4}}$
184267	Solve the Inequality for x	x^2-6x+7<0	$x^{2} - 6 x + 7 < 0$
184268	Find the Roots (Zeros)	x^2=18	$x^{2} = 18$
184269	Simplify	(1/x-x)/(5+5/x)	$\frac{\frac{1}{x} - x}{5 + \frac{5}{x}}$
184270	Graph	y=1/2x^2-2X	$y = \frac{1}{2} x^{2} - 2 X$
184271	Graph	y=1/8*2^x-3	$y = \frac{1}{8} \cdot 2^{x} - 3$
184272	Write in Standard Form	x^3+2x^2+7x^4-3	$x^{3} + 2 x^{2} + 7 x^{4} - 3$
184273	Multiply	(13+ square root of -180)(6+ square root of -180)	$(13 + \sqrt{- 180}) (6 + \sqrt{- 180})$
184274	Solve the System of Equations	6x+6y=-6 5x+y=-13	$6 x + 6 y = - 6$ $5 x + y = - 13$
184275	Simplify	8x^3 square root of 12x+4x^2 square root of 3x^3	$8 x^{3} \sqrt{12 x} + 4 x^{2} \sqrt{3 x^{3}}$
184276	Solve the Inequality for x	(49x^2-81)/(x^2-64)<=0	$\frac{49 x^{2} - 81}{x^{2} - 64} \leq 0$
184277	Simplify	(6a+5b)/(8a-2b)-(a+6b)/(8a-2b)+(3a-b)/(8a-2b)	$\frac{6 a + 5 b}{8 a - 2 b} - \frac{a + 6 b}{8 a - 2 b} + \frac{3 a - b}{8 a - 2 b}$
184278	Find the Exact Value	1/2 square root of 2	$\frac{1}{2} \sqrt{2}$
184279	Simplify	6x-(-3x)+x-6	$6 x - (- 3 x) + x - 6$
184280	Solve for x	5(5x-5)^2-38=-18	$5 {(5 x - 5)}^{2} - 38 = - 18$
184281	Solve for n	-3+\|n-2\|>5	$- 3 + \| n - 2 \| > 5$
184282	Solve the Inequality for x	\|x\|>=5	$\| x \| \geq 5$
184283	Simplify	2(j+j+k)	$2 (j + j + k)$
184284	Solve the System of Equations	y=x^2-4 y=2x-5	$y = x^{2} - 4$ $y = 2 x - 5$
184285	Evaluate	f(x)=-8(2)^(3x)+3	$f (x) = - 8 {(2)}^{3 x} + 3$
184286	Write in Standard Form	(-5q^2+6q+7)-(-q^2+4q)	$(- 5 q^{2} + 6 q + 7) - (- q^{2} + 4 q)$
184287	Graph	3x+y=1 2x-y=-6	$3 x + y = 1$ $2 x - y = - 6$
184288	Solve the Inequality for x	7(x+4)>0	$7 (x + 4) > 0$
184289	Find the Exact Value	1+2/3	$1 + \frac{2}{3}$
184290	Solve the Inequality for x	log base 3 of (x-1)^2>2	$\log_{3} ({(x - 1)}^{2}) > 2$
184291	Solve the Inequality for r	2(1-4r)<-2(r+3)-4	$2 (1 - 4 r) < - 2 (r + 3) - 4$
184292	Find the Inverse	f(x)=8 cube root of x-3	$f (x) = 8 \sqrt[3]{x - 3}$
184293	Combine Like Terms	x+x+x+2	$x + x + x + 2$
184294	Simplify	3x+5y+x-2y	$3 x + 5 y + x - 2 y$
184295	Find the x and y Intercepts	f(x)=x(5x+6)	$f (x) = x (5 x + 6)$
184296	Solve the Inequality for x	x^3-2x^2-x+2>0	$x^{3} - 2 x^{2} - x + 2 > 0$
184297	Simplify	(a^2b^3)^-2(a^5b^4)^-3	${(a^{2} b^{3})}^{- 2} {(a^{5} b^{4})}^{- 3}$
184298	Simplify	(9/10)÷(3/4)	$\frac{9}{10} \div \frac{3}{4}$
184299	Solve for x	-1/(x-4)+2=-4/(x^2-4x)	$- \frac{1}{x - 4} + 2 = - \frac{4}{x^{2} - 4 x}$
184300	Graph	f(x)=-2^x,x<-4; -\|x\|,-4<=x<=0; 4-x^2,x>0	$f (x) = {\begin{cases} - 2^{x}, x < - 4 \\ - \| x \|, - 4 \leq x \leq 0 \\ 4 - x^{2}, x > 0 \end{cases}$