Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230301	Solve the Inequality for x	2x+2=8	$2 x + 2 = 8$
230302	Simplify	(a)(a)(a)	$(a) (a) (a)$
230303	Convert to Interval Notation	(x+5)/18+(x-7)/10<2/3	$\frac{x + 5}{18} + \frac{x - 7}{10} < \frac{2}{3}$
230304	Expand Using the Binomial Theorem	(xy-2y^-2)^21	${(x y - 2 y^{- 2})}^{21}$
230305	Find the Exact Value	-1(-( square root of 2)/2)	$- 1 (- \frac{\sqrt{2}}{2})$
230306	Simplify	(6x^7y^15)/(12x^3y^5)*8x^4y	$\frac{6 x^{7} y^{15}}{12 x^{3} y^{5}} \cdot 8 x^{4} y$
230307	Solve the System of Equations	-4x-2y-z=3 2x-3y+4z=-14 3x+y=-5	$- 4 x - 2 y - z = 3$ $2 x - 3 y + 4 z = - 14$ $3 x + y = - 5$
230308	Find the Product	(r/s)(3)	$(\frac{r}{s}) (3)$
230309	Evaluate	(x^6*x^8)/x	$\frac{x^{6} \cdot x^{8}}{x}$
230310	Simplify	square root of fifth root of w^6	$\sqrt{\sqrt[5]{w^{6}}}$
230311	Convert to a Decimal	cos(14)deg	$\cos (14)$ degrees
230312	Solve for x	4^(5x+2)=0.8*5^(5x+2)	$4^{5 x + 2} = 0.8 \cdot 5^{5 x + 2}$
230313	Write with Rational (Fractional) Exponents	square root of 3* fifth root of 3^2	$\sqrt{3} \cdot \sqrt[5]{3^{2}}$
230314	Evaluate	sin(x)+cos(x)=0	$\sin (x) + \cos (x) = 0$
230315	Expand the Logarithmic Expression	natural log of (5p^3q^4)^2	$\ln ({(5 p^{3} q^{4})}^{2})$
230316	Write in Standard Form	(8n-3n^4+10n^2)-(3n^2+11n^4-7)	$(8 n - 3 n^{4} + 10 n^{2}) - (3 n^{2} + 11 n^{4} - 7)$
230317	Solve for x	log base 5 of x/5-3 = log base 5 of 7x-2	$\log_{5} (\frac{x}{5} - 3) = \log_{5} (7 x - 2)$
230318	Solve for m	-7+7m=1+6m	$- 7 + 7 m = 1 + 6 m$
230319	Simplify	rs^2 fifth root of 32r^4s^10	$r s^{2} \sqrt[5]{32 r^{4} s^{10}}$
230320	Evaluate	sin(arcsin((- square root of 2)/2))	$\sin (\arcsin (\frac{- \sqrt{2}}{2}))$
230321	Simplify	Simplify (n-1-(n-1-(n-1)))	Simplify $(n - 1 - (n - 1 - (n - 1)))$
230322	Simplify	(2x^4+5x^2-11)+(-6x^4-7x^2+1)	$(2 x^{4} + 5 x^{2} - 11) + (- 6 x^{4} - 7 x^{2} + 1)$
230323	Solve for y	y/3=(y+8)/(y+5)	$\frac{y}{3} = \frac{y + 8}{y + 5}$
230324	Simplify	square root of (3(400))/2- square root of (3(256))/2	$\sqrt{\frac{3 (400)}{2}} - \sqrt{\frac{3 (256)}{2}}$
230325	Divide Using Long Polynomial Division	(6x^4-20x^3+15x^2-8)÷(-x^2+2x-1)	$(6 x^{4} - 20 x^{3} + 15 x^{2} - 8) \div (- x^{2} + 2 x - 1)$
230326	Subtract	(8x)/5-x/8	$\frac{8 x}{5} - \frac{x}{8}$
230327	Find the End Behavior	g(x)=5-7/2x-3x^2	$g (x) = 5 - \frac{7}{2} x - 3 x^{2}$
230328	Solve for r	r-10>-7	$r - 10 > - 7$
230329	Solve for n	3^(2n)=1/27	$3^{2 n} = \frac{1}{27}$
230330	Simplify	3x+2y-y+2y+x^2-2x^2-6x	$3 x + 2 y - y + 2 y + x^{2} - 2 x^{2} - 6 x$
230331	Simplify	(x^3-6x^2+3)+(3x^3+4x-1)	$(x^{3} - 6 x^{2} + 3) + (3 x^{3} + 4 x - 1)$
230332	Solve the Inequality for x	2x^2+6>13x	$2 x^{2} + 6 > 13 x$
230333	Write in Standard Form	(-7x^2+3)-(-4x-3)	$(- 7 x^{2} + 3) - (- 4 x - 3)$
230334	Evaluate	(2xy^2)/(x^5y^3)*(5xy^3)/(-30y^-2)	$\frac{2 x y^{2}}{x^{5} y^{3}} \cdot \frac{5 x y^{3}}{- 30 y^{- 2}}$
230335	Simplify	cos(x)^2+cos(x)^2+tan(x)^2	$\cos^{2} (x) + \cos^{2} (x) + \tan^{2} (x)$
230336	Simplify the Radical Expression	cube root of 3* fifth root of 3^6	$\sqrt[3]{3} \cdot \sqrt[5]{3^{6}}$
230337	Solve the System of Equations	-2x+y=12 and 7x-7y=-49	$- 2 x + y = 12$ and $7 x - 7 y = - 49$
230338	Solve for x	square root of x/7 = square root of 24-x	$\sqrt{\frac{x}{7}} = \sqrt{24 - x}$
230339	Evaluate	3.45(1.9310^4)	$3.45 \times (1.93 \times 10^{4})$
230340	Solve the System of Equations	10x^2-y=48 2y=16x^2+48	$10 x^{2} - y = 48$ $2 y = 16 x^{2} + 48$
230341	Evaluate	( square root of a)/( square root of b)=x	$\frac{\sqrt{a}}{\sqrt{b}} = x$
230342	Solve the Rational Equation for a	a/6-10=a/3	$\frac{a}{6} - 10 = \frac{a}{3}$
230343	Solve for x	0=cos(x)+sin(x)	$0 = \cos (x) + \sin (x)$
230344	Find the Roots (Zeros)	k(x)=1/((x+5)(x-2)(x-7))	$k (x) = \frac{1}{(x + 5) (x - 2) (x - 7)}$
230345	Write as a Single Logarithm	log base xy of 1/x+ log base xy of 1/y	$\log_{x y} (\frac{1}{x}) + \log_{x y} (\frac{1}{y})$
230346	Find the Exact Value	1/51/51/5*1/5	$\frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5}$
230347	Simplify	cube root of x^2* fourth root of x	$\sqrt[3]{x^{2}} \cdot \sqrt[4]{x}$
230348	Solve for x	log base 4 of 2x+4-3 = log base 4 of 3	$\log_{4} (2 x + 4) - 3 = \log_{4} (3)$
230349	Solve the Inequality for x	cos(x)>=( square root of 2)/2	$\cos (x) \geq \frac{\sqrt{2}}{2}$
230350	Evaluate	((56÷16)÷9*24)÷21	$56 \div 16 \div 9 \cdot 24 \div 21$
230351	Simplify	(1+( square root of 3)/3)/(1-( square root of 3)/3)	$\frac{1 + \frac{\sqrt{3}}{3}}{1 - \frac{\sqrt{3}}{3}}$
230352	Solve for x	5^(x-2)=3*4^(x+1)	$5^{x - 2} = 3 \cdot 4^{x + 1}$
230353	Solve for d	5d^2+15d+5=-6	$5 d^{2} + 15 d + 5 = - 6$
230354	Simplify	square root of 5-9+8 square root of 5+11- square root of 5	$\sqrt{5} - 9 + 8 \sqrt{5} + 11 - \sqrt{5}$
230355	Factor by Grouping	25x^2+16-40x-64y^2	$25 x^{2} + 16 - 40 x - 64 y^{2}$
230356	Simplify	( square root of 125)/( square root of 18* square root of 50)	$\frac{\sqrt{125}}{\sqrt{18} \cdot \sqrt{50}}$
230357	Write in Exponential Form	( square root of a square root of b)/( ninth root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[9]{a b}}$
230358	Simplify	((4xy^2)/(5x^3))^0	${(\frac{4 x y^{2}}{5 x^{3}})}^{0}$
230359	Evaluate Using the Given Value	(4x+4(3+a)^2)/(y-1) para x=-2 , y=3 , a=-4	$\frac{4 x + 4 {(3 + a)}^{2}}{y - 1}$ para $x = - 2$ , $y = 3$ , $a = - 4$
230360	Simplify	( square root of 10-3 square root of 6)/( square root of 2)	$\frac{\sqrt{10} - 3 \sqrt{6}}{\sqrt{2}}$
230361	Solve for x	(\|x\|)/x=1	$\frac{\| x \|}{x} = 1$
230362	Simplify the Radical Expression	2x sixth root of x^8	$2 x \sqrt[6]{x^{8}}$
230363	Write in Exponential Form	2 square root of a+3 square root of b	$2 \sqrt{a + 3 \sqrt{b}}$
230364	Simplify	((2^2)/x)^-1	${(\frac{2^{2}}{x})}^{- 1}$
230365	Factor	k^2+(2k+1)	$k^{2} + (2 k + 1)$
230366	Multiply	-10(-7x^2+5x)	$- 10 (- 7 x^{2} + 5 x)$
230367	Simplify the Radical Expression	3b^(1/2)*b^(3/2)	$3 b^{\frac{1}{2}} \cdot b^{\frac{3}{2}}$
230368	Solve for x	5-9+3x=-10+6+3x	$5 - 9 + 3 x = - 10 + 6 + 3 x$
230369	Write in Standard Form	x^4y^2+4x^3y^5+10x^2	$x^{4} y^{2} + 4 x^{3} y^{5} + 10 x^{2}$
230370	Simplify	((5^2x^3y^-3)/(125xy))^-1	${(\frac{5^{2} x^{3} y^{- 3}}{125 x y})}^{- 1}$
230371	Simplify	3-(2m^2+3)+(m^2-2m+3)	$3 - (2 m^{2} + 3) + (m^{2} - 2 m + 3)$
230372	Determine if Dependent, Independent, or Inconsistent	y=2x+3 x+y=-9	$y = 2 x + 3$ $x + y = - 9$
230373	Solve for k	1/k=(7.310^8)(2.010^-5)+1/(1.0010^-4)	$\frac{1}{k} = (7.3 \times 10^{8}) \times (2 \times 10^{- 5}) + \frac{1}{1 \times 10^{- 4}}$
230374	Divide	(27/32)÷(-9/4)	$\frac{27}{32} \div (- \frac{9}{4})$
230375	Evaluate	(y^(-1/2))^4	${(y^{- \frac{1}{2}})}^{4}$
230376	Find the Roots (Zeros)	x(5x-2)(x^2+1)	$x (5 x - 2) (x^{2} + 1)$
230377	Rationalize the Numerator	(3 square root of 7)/14	$\frac{3 \sqrt{7}}{14}$
230378	Multiply	(x+3)(x-3)(2x+5)	$(x + 3) (x - 3) (2 x + 5)$
230379	Simplify	5/8+(3/4)÷(-2/3)-5/6	$\frac{5}{8} + \frac{3}{4} \div \frac{- 2}{3} - \frac{5}{6}$
230380	Subtract	5x^2+6x+12-(2x^2+x+3)	$5 x^{2} + 6 x + 12 - (2 x^{2} + x + 3)$
230381	Solve for x	1/2(8x+3)=4x+3/2	$\frac{1}{2} (8 x + 3) = 4 x + \frac{3}{2}$
230382	Simplify	7x+1+7-4x+4y^2+2x-4y^2	$7 x + 1 + 7 - 4 x + 4 y^{2} + 2 x - 4 y^{2}$
230383	Multiply	5*3/4	$5 \times \frac{3}{4}$
230384	Simplify	3* log of 4	$3 \cdot \log (4)$
230385	Graph	f(x)=x^5-6x^4+8x^3+6x^2-9x	$f (x) = x^{5} - 6 x^{4} + 8 x^{3} + 6 x^{2} - 9 x$
230386	Solve for x	1/x-1/(x^2)=0	$\frac{1}{x} - \frac{1}{x^{2}} = 0$
230387	Simplify	square root of (96d^4e^2f^8)/(75de^6)	$\sqrt{\frac{96 d^{4} e^{2} f^{8}}{75 d e^{6}}}$
230388	Find the GCF	15a^2b-30ab	$15 a^{2} b - 30 a b$
230389	Solve the Rational Equation for x	1/(x-4)-5/(x+2)=6/(x^2-2x-8)	$\frac{1}{x - 4} - \frac{5}{x + 2} = \frac{6}{x^{2} - 2 x - 8}$
230390	Solve for x	x-4 2/3=1/3	$x - 4 \frac{2}{3} = \frac{1}{3}$
230391	Solve for d	1/2d=2/3d-8	$\frac{1}{2} d = \frac{2}{3} d - 8$
230392	Evaluate	-4(0)+5(3/5)-14	$- 4 (0) + 5 (\frac{3}{5}) - 14$
230393	Find the Product	-2xa(-4xb-2x*3+5x)	$- 2 x a (- 4 x b - 2 x \cdot 3 + 5 x)$
230394	Solve for n	(n+4)/8=n/4	$\frac{n + 4}{8} = \frac{n}{4}$
230395	Simplify	(2x^-2y^2)/( fourth root of 81x^4y^3)	$\frac{2 x^{- 2} y^{2}}{\sqrt[4]{81 x^{4} y^{3}}}$
230396	Find the Domain and Range	\|x^2-4\|	$\| x^{2} - 4 \|$
230397	Factor	2x(x^2-4)	$2 x (x^{2} - 4)$
230398	Evaluate	-2/(4+(-7)^2)	$- \frac{2}{4 + {(- 7)}^{2}}$
230399	Simplify	( cube root of 3x^2b)÷( cube root of 25xy^2)	$\sqrt[3]{3 x^{2} b} \div \sqrt[3]{25 x y^{2}}$
230400	Find the Exact Value	-2^0	$- 2^{0}$