Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
209301	Solve for h	2 cube root of h+5=4 cube root of 2h-15	$2 \sqrt[3]{h + 5} = 4 \sqrt[3]{2 h - 15}$
209302	Solve for p	7p+34=-2(1-5p)	$7 p + 34 = - 2 (1 - 5 p)$
209303	Simplify	3 fourth root of 32*(-6 fourth root of 5)	$3 \sqrt[4]{32} \cdot (- 6 \sqrt[4]{5})$
209304	Find the Perpendicular Line	y-2=7/3(x+5) , (-4,9)	$y - 2 = \frac{7}{3} (x + 5)$ , $(- 4, 9)$
209305	Solve for S	SA=pirs+pir^2	$S A = π r s + π r^{2}$
209306	Simplify	((x^-3y)/(xz^-4))^-2	${(\frac{x^{- 3} y}{x z^{- 4}})}^{- 2}$
209307	Evaluate	(2^55^22-25^21)/(25^10)	$\frac{2^{5} \cdot 5^{22} - 2 \cdot 5^{21}}{25^{10}}$
209308	Solve for k	(1/216)^(-2k)=(1/36)^(k+2)	${(\frac{1}{216})}^{- 2 k} = {(\frac{1}{36})}^{k + 2}$
209309	Convert to Radical Form	(125)(2/3)	$(125) (\frac{2}{3})$
209310	Simplify	5y^6+(-8y^6)	$5 y^{6} + (- 8 y^{6})$
209311	Graph	-(6+2x)=4x-2(x+1)	$- (6 + 2 x) = 4 x - 2 (x + 1)$
209312	Graph	D={x\|x>=0}	$D = {x \| x \geq 0}$
209313	Find the Distance Between Two Points	What is the distance between the points (3,5) and (6,9) ?	What is the distance between the points $(3, 5)$ and $(6, 9)$ ?
209314	Solve the Inequality for y	y/6<=2	$\frac{y}{6} \leq 2$
209315	Simplify	7/(16x^3)-3/(8x^2)	$\frac{7}{16 x^{3}} - \frac{3}{8 x^{2}}$
209316	Find the Next Term	1 , 2 , 4 , 8 , 16 , 32 , 64 , 128 , 256 , 512	$1$ , $2$ , $4$ , $8$ , $16$ , $32$ , $64$ , $128$ , $256$ , $512$
209317	Find the Domain and Range	(2x-1)/x	$\frac{2 x - 1}{x}$
209318	Solve for C	D=(C-S)/n	$D = \frac{C - S}{n}$
209319	Solve for x	6/x-(2x+1)/(2x)=9/2	$\frac{6}{x} - \frac{2 x + 1}{2 x} = \frac{9}{2}$
209320	Simplify	( fourth root of 3)( square root of 2)	$(\sqrt[4]{3}) (\sqrt{2})$
209321	Solve by Addition/Elimination	4/3x-1/2y=2 4/3x+7/4y=11	$\frac{4}{3} x - \frac{1}{2} y = 2$ $\frac{4}{3} x + \frac{7}{4} y = 11$
209322	Solve by Substitution	y=-1+3/8x 2x-5y=6	$y = - 1 + \frac{3}{8} x$ $2 x - 5 y = 6$
209323	Evaluate	(pi/2)÷(1/2)	$\frac{π}{2} \div \frac{1}{2}$
209324	Simplify	5x^5+2x^2-7-4x^4	$5 x^{5} + 2 x^{2} - 7 - 4 x^{4}$
209325	Solve the System of Equations	-3x+4y-z=-10 x+6y-z=-6 -2x-5y+z=2	$- 3 x + 4 y - z = - 10$ $x + 6 y - z = - 6$ $- 2 x - 5 y + z = 2$
209326	Simplify	(6x^7y^3z^9)/(3x^6y^3z)	$\frac{6 x^{7} y^{3} z^{9}}{3 x^{6} y^{3} z}$
209327	Solve for y	(y^2-17)^2-16(y^2-17)+64=0	${(y^{2} - 17)}^{2} - 16 (y^{2} - 17) + 64 = 0$
209328	Simplify	x^(7/2)*y^(8/2)	$x^{\frac{7}{2}} \cdot y^{\frac{8}{2}}$
209329	Write in Standard Form	10-3x^2+x^5+4x^3	$10 - 3 x^{2} + x^{5} + 4 x^{3}$
209330	Find the Points of Intersection	3x-6y=12 4x-8y=16	$3 x - 6 y = 12$ $4 x - 8 y = 16$
209331	Solve for x	square root of (8^(x-1))/(2^x)=32^(x+3)	$\sqrt{\frac{8^{x - 1}}{2^{x}}} = 32^{x + 3}$
209332	Find the Product	-2x^a(-4x^b-2x^3+5x)	$- 2 x^{a} (- 4 x^{b} - 2 x^{3} + 5 x)$
209333	Solve for x	9x^2=-3x+1	$9 x^{2} = - 3 x + 1$
209334	Divide Using Long Polynomial Division	(3x^3+4x+11)/(x^2-3x+2)	$\frac{3 x^{3} + 4 x + 11}{x^{2} - 3 x + 2}$
209335	Write in Standard Form	16x^2-224x=9y^2+18y-631	$16 x^{2} - 224 x = 9 y^{2} + 18 y - 631$
209336	Simplify the Radical Expression	(3^(-2/3)*3^(1/3))^-1	${(3^{- \frac{2}{3}} \cdot 3^{\frac{1}{3}})}^{- 1}$
209337	Find the Exact Value	sin(90 degrees )+cot(45 degrees )	$\sin (90 °) + \cot (45 °)$
209338	Solve for q	-0.7q+0.296-4q=-0.304-4.9q	$- 0.7 q + 0.296 - 4 q = - 0.304 - 4.9 q$
209339	Graph	4*(1/2)^x	$4 \cdot {(\frac{1}{2})}^{x}$
209340	Solve for n	2n(4n+5)+6=0	$2 n (4 n + 5) + 6 = 0$
209341	Simplify	square root of (16a^2b^9c^3)/(36a^4b^5c^6)	$\sqrt{\frac{16 a^{2} b^{9} c^{3}}{36 a^{4} b^{5} c^{6}}}$
209342	Solve the Inequality for x	2 log of x< log of 2-x	$2 \log (x) < \log (2 - x)$
209343	Solve for x	(3x)/(x-3)-(3x+2)/(x-5)=x/(x-5)	$\frac{3 x}{x - 3} - \frac{3 x + 2}{x - 5} = \frac{x}{x - 5}$
209344	Find f(g(x))	f(x)=4x-3 and g(x)=1/4x+3	$f (x) = 4 x - 3$ and $g (x) = \frac{1}{4} x + 3$
209345	Simplify	2(4x^2-2x)-3(-6x^2+4)+2x(x-1)	$2 (4 x^{2} - 2 x) - 3 (- 6 x^{2} + 4) + 2 x (x - 1)$
209346	Simplify	-1/2c(4c-2)	$- \frac{1}{2} c (4 c - 2)$
209347	Simplify	-(-2a+13)+(-9a-2)-(-7a-3)	$- (- 2 a + 13) + (- 9 a - 2) - (- 7 a - 3)$
209348	Solve the Inequality for x	sin(x)>=0	$\sin (x) \geq 0$
209349	Solve the Inequality for t	3t+7<28	$3 t + 7 < 28$
209350	Subtract	4x^2-7 and 6x^2-5	$4 x^{2} - 7$ and $6 x^{2} - 5$
209351	Simplify	6 square root of 8c^3d^5*4 square root of 2cd^3	$6 \sqrt{8 c^{3} d^{5}} \cdot 4 \sqrt{2 c d^{3}}$
209352	Find the Degree, Leading Term, and Leading Coefficient	f(t)=1/10t^2(t-4)^3(t+5)^2	$f (t) = \frac{1}{10} t^{2} {(t - 4)}^{3} {(t + 5)}^{2}$
209353	Solve for x	1/10+(2x+7)/(10x)=1	$\frac{1}{10} + \frac{2 x + 7}{10 x} = 1$
209354	Solve for y	y-4 = square root of 2y	$y - 4 = \sqrt{2 y}$
209355	Solve the Rational Equation for x	cube root of x-2=3	$\sqrt[3]{x - 2} = 3$
209356	Simplify	(5x^(3m))(2x^(2m))	$(5 x^{3 m}) (2 x^{2 m})$
209357	Simplify	((x^5y^5)/(y^3))^2	${(\frac{x^{5} y^{5}}{y^{3}})}^{2}$
209358	Find the Third Term	a_n=n*(n+1)!	$a_{n} = n \cdot (n + 1)!$
209359	Simplify the Radical Expression	(p^(-3/4)q^3)^(1/3)	${(p^{\frac{- 3}{4}} q^{3})}^{\frac{1}{3}}$
209360	Simplify	(16 root of 4)/( eighth root of 4)	$\frac{\sqrt[16]{4}}{\sqrt[8]{4}}$
209361	Solve for x	11x-x=15	$11 x - x = 15$
209362	Simplify	((8^-7)/8)^-2	${(\frac{8^{- 7}}{8})}^{- 2}$
209363	Simplify	(a-b)/((b-a)^2)	$\frac{a - b}{{(b - a)}^{2}}$
209364	Simplify	(1/3)/((2 square root of 2)/3)	$\frac{\frac{1}{3}}{\frac{2 \sqrt{2}}{3}}$
209365	Solve the Inequality for y	-3>2y	$- 3 > 2 y$
209366	Expand Using the Binomial Theorem	(1/2x+4)^10	${(\frac{1}{2} x + 4)}^{10}$
209367	Simplify	-4 square root of 11y-14 square root of 10y+2 square root of 10y+ square root of 11y	$- 4 \sqrt{11 y} - 14 \sqrt{10 y} + 2 \sqrt{10 y} + \sqrt{11 y}$
209368	Simplify	(2a^2+4a^3)-(3a^3+8)	$(2 a^{2} + 4 a^{3}) - (3 a^{3} + 8)$
209369	Simplify	((2r^3)/s)^2(s/(r^3))^3	${(\frac{2 r^{3}}{s})}^{2} {(\frac{s}{r^{3}})}^{3}$
209370	Simplify	y/(y+3)-(6y)/(y^2-9)	$\frac{y}{y + 3} - \frac{6 y}{y^{2} - 9}$
209371	Multiply	(x+3)/(5x+20)*(x^2+3x+2)/(x^2+5x+6)	$\frac{x + 3}{5 x + 20} \cdot \frac{x^{2} + 3 x + 2}{x^{2} + 5 x + 6}$
209372	Solve by Addition/Elimination	y-x=2 y=-1/4x+7	$y - x = 2$ $y = - \frac{1}{4} x + 7$
209373	Find the LCD	-7/(2x+10) and (9x)/(x+5)	$\frac{- 7}{2 x + 10}$ and $\frac{9 x}{x + 5}$
209374	Solve the Inequality for x	3/4(x+4)-3/2>=3	$\frac{3}{4} (x + 4) - \frac{3}{2} \geq 3$
209375	Solve for w	-2(w+1)+w=7-4w	$- 2 (w + 1) + w = 7 - 4 w$
209376	Solve the Inequality for x	16^x>2^24^38^4	$16^{x} > 2^{2} \cdot 4^{3} \cdot 8^{4}$
209377	Write in Slope-Intercept Form	(-5,-11) and (-2,1)	$(- 5, - 11)$ and $(- 2, 1)$
209378	Solve for X	square root of 4X^2-12X+9=5	$\sqrt{4 X^{2} - 12 X + 9} = 5$
209379	Solve the Inequality for x	(x-4)/3>=(x+3)/2	$\frac{x - 4}{3} \geq \frac{x + 3}{2}$
209380	Write in Standard Form	4b(5b-3)-2(b^2-7b-4)	$4 b (5 b - 3) - 2 (b^{2} - 7 b - 4)$
209381	Simplify	3(2+4i)-(5-3i)+(2-i)	$3 (2 + 4 i) - (5 - 3 i) + (2 - i)$
209382	Rationalize the Denominator	-3/(-9+ square root of 15)	$\frac{- 3}{- 9 + \sqrt{15}}$
209383	Find the Inverse	v(R) = square root of (2GM)/R	$v (R) = \sqrt{\frac{2 G M}{R}}$
209384	Combine Like Terms	-18x+12x-10x	$- 18 x + 12 x - 10 x$
209385	Divide	(x^3+2x^2-1)÷(x^2-x+1)	$(x^{3} + 2 x^{2} - 1) \div (x^{2} - x + 1)$
209386	Solve for x	x^6+39=69	$x^{6} + 39 = 69$
209387	Solve for y	(y-1)/4-(y-4)/5=(y+4)/10-1	$\frac{y - 1}{4} - \frac{y - 4}{5} = \frac{y + 4}{10} - 1$
209388	Graph	f(x)=4x-x^3-x^5	$f (x) = 4 x - x^{3} - x^{5}$
209389	Graph	y<=x+4 y>=-2x	$y \leq x + 4$ $y \geq - 2 x$
209390	Simplify	(m^-3t^-5)/((m^2t^3)^-1)	$\frac{m^{- 3} t^{- 5}}{{(m^{2} t^{3})}^{- 1}}$
209391	Simplify	-3a(a+b-5)+4(-2a+2b)+b(a+3b-7)	$- 3 a (a + b - 5) + 4 (- 2 a + 2 b) + b (a + 3 b - 7)$
209392	Graph	y<=-x^2+x+6	$y \leq - x^{2} + x + 6$
209393	Graph	f(x)=(4x^2+x)/x	$f (x) = \frac{4 x^{2} + x}{x}$
209394	Solve for j	-8.5j+1-9j=2.5j-1	$- 8.5 j + 1 - 9 j = 2.5 j - 1$
209395	Solve the System of Equations	-4x+4y=32 3x+24=3y	$- 4 x + 4 y = 32$ $3 x + 24 = 3 y$
209396	Solve the System of Equations	2y=4x+6 y=2x+6	$2 y = 4 x + 6$ $y = 2 x + 6$
209397	Multiply	2 square root of 3m^3* square root of 3m^3	$2 \sqrt{3 m^{3}} \cdot \sqrt{3 m^{3}}$
209398	Solve for c	c÷1 11/16=4/9	$c \div 1 \frac{11}{16} = \frac{4}{9}$
209399	Simplify the Radical Expression	(4 square root of 2)/(3 square root of 8)	$\frac{4 \sqrt{2}}{3 \sqrt{8}}$
209400	Solve for t	(t+7)/9=25/(t+7)	$\frac{t + 7}{9} = \frac{25}{t + 7}$