Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211301	Solve by Graphing	y=4/5x-4 x=5	$y = \frac{4}{5} x - 4$ $x = 5$
211302	Solve the System of Equations	x=1 y=-2	$x = 1$ $y = - 2$
211303	Find the Product	7x^3(2x+3)	$7 x^{3} (2 x + 3)$
211304	Evaluate	i^58*i^55	$i^{58} \cdot i^{55}$
211305	Factor	6y^2(y^2+6y+9)	$6 y^{2} (y^{2} + 6 y + 9)$
211306	Simplify	((p^3)/(q^2))*2	$(\frac{p^{3}}{q^{2}}) \cdot 2$
211307	Evaluate	8*5^((-t)/9)=346	$8 \cdot 5^{\frac{- t}{9}} = 346$
211308	Write the Fraction in Simplest Form	(-6j^-9)/((-2j^4)^3)	$\frac{- 6 j^{- 9}}{{(- 2 j^{4})}^{3}}$
211309	Simplify the Radical Expression	(5a^3b^2)^(2/3)	${(5 a^{3} b^{2})}^{\frac{2}{3}}$
211310	Find the Exact Value	(15,625)	$(15, 625)$
211311	Solve for n	-8-5 1/4n=-7/8	$- 8 - 5 \frac{1}{4} n = - \frac{7}{8}$
211312	Evaluate	fifth root of 5* fifth root of 5^2	$\sqrt[5]{5} \cdot \sqrt[5]{5^{2}}$
211313	Simplify	- cube root of 2x^4y^2*3 cube root of 20x^5y	$- \sqrt[3]{2 x^{4} y^{2}} \cdot 3 \sqrt[3]{20 x^{5} y}$
211314	Simplify	(x^2-x-6)/(2x^2+x-6)*(2x^2+7x-15)/(x^2-9)	$\frac{x^{2} - x - 6}{2 x^{2} + x - 6} \cdot \frac{2 x^{2} + 7 x - 15}{x^{2} - 9}$
211315	Solve for y	1-4y^2=0	$1 - 4 y^{2} = 0$
211316	Solve the Inequality for w	w-0.9>-2.1	$w - 0.9 > - 2.1$
211317	Simplify	(a^8b^2c^0)/(a^5b^5)	$\frac{a^{8} b^{2} c^{0}}{a^{5} b^{5}}$
211318	Evaluate	(1/2*4/3)÷(5/6)	$\frac{1}{2} \cdot \frac{4}{3} \div \frac{5}{6}$
211319	Simplify	(5x^2y^3)/(-5y^3)	$\frac{5 x^{2} y^{3}}{- 5 y^{3}}$
211320	Solve Using the Quadratic Formula	9(5-3x)^2-40=9	$9 {(5 - 3 x)}^{2} - 40 = 9$
211321	Find the Roots (Zeros)	x^2-18x=-31	$x^{2} - 18 x = - 31$
211322	Graph	-x^2+12x-36>y	$- x^{2} + 12 x - 36 > y$
211323	Find the Degree, Leading Term, and Leading Coefficient	-10-1/6x^2	$- 10 - \frac{1}{6} x^{2}$
211324	Simplify	((x^2y)/(z^2))/((xy^2)/(z^2))	$\frac{\frac{x^{2} y}{z^{2}}}{\frac{x y^{2}}{z^{2}}}$
211325	Simplify	(2x^4y^2*2y^3)^4	${(2 x^{4} y^{2} \cdot 2 y^{3})}^{4}$
211326	Solve for x	3(x-2)+7x=1/2(6x-2)	$3 (x - 2) + 7 x = \frac{1}{2} (6 x - 2)$
211327	Solve for d	5^-3*2^-3=10^d	$5^{- 3} \cdot 2^{- 3} = 10^{d}$
211328	Write in Standard Form	9y^2+144y+504=4x^2+24x	$9 y^{2} + 144 y + 504 = 4 x^{2} + 24 x$
211329	Evaluate	3 log base 9 of x^2	$3 \log_{9} (x^{2})$
211330	Write the Fraction in Simplest Form	limit as x approaches 2 of (x^3-8)/(x-2)	$lim_{x \to 2} \frac{x^{3} - 8}{x - 2}$
211331	Divide Using Synthetic Division	(y^3+y^2-10)÷(y+3)	$(y^{3} + y^{2} - 10) \div (y + 3)$
211332	Simplify	( square root of n^9)/( fourth root of n^7)	$\frac{\sqrt{n^{9}}}{\sqrt[4]{n^{7}}}$
211333	Solve for x	31285+68985-100x=85	$312 \cdot 85 + 689 \cdot 85 - 100 x = 85$
211334	Find the Quotient	(4y^2-4y+1)/(2y-1)	$\frac{4 y^{2} - 4 y + 1}{2 y - 1}$
211335	Solve for x	-1080=-5x^(3/2)	$- 1080 = - 5 x^{\frac{3}{2}}$
211336	Divide	(a^15b^2c^18)/(a^12b^2c^3)	$\frac{a^{15} b^{2} c^{18}}{a^{12} b^{2} c^{3}}$
211337	Simplify	(-5x^2y)^2*xy^2-9x^5y^4	${(- 5 x^{2} y)}^{2} \cdot x y^{2} - 9 x^{5} y^{4}$
211338	Find the Inverse	f(x)=5 cube root of x+4-2	$f (x) = 5 \sqrt[3]{x + 4} - 2$
211339	Solve for x	1+5/(3x)=7/(3x)	$1 + \frac{5}{3 x} = \frac{7}{3 x}$
211340	Evaluate	(3 cube root of 2)^3	${(3 \sqrt[3]{2})}^{3}$
211341	Solve Using the Quadratic Formula	15x^2-3x=5x^2-1	$15 x^{2} - 3 x = 5 x^{2} - 1$
211342	Graph	x-3y=6 y=2x+3	$x - 3 y = 6$ $y = 2 x + 3$
211343	Simplify	((36c^6)/(25y^8))^(-1/2)	${(\frac{36 c^{6}}{25 y^{8}})}^{\frac{- 1}{2}}$
211344	Solve the System of Equations	-x-2y=-4z+12 3x-6y+z=15 2x+5y+1=0	$- x - 2 y = - 4 z + 12$ $3 x - 6 y + z = 15$ $2 x + 5 y + 1 = 0$
211345	Simplify	-m+17m-12c+3m+4c+21c	$- m + 17 m - 12 c + 3 m + 4 c + 21 c$
211346	Rationalize the Denominator	( square root of 10)/( square root of 180- square root of 20)	$\frac{\sqrt{10}}{\sqrt{180} - \sqrt{20}}$
211347	Simplify	-2+6x+z-2x+8-4z	$- 2 + 6 x + z - 2 x + 8 - 4 z$
211348	Simplify	square root of 36x^2* fourth root of 81x^8	$\sqrt{36 x^{2}} \cdot \sqrt[4]{81 x^{8}}$
211349	Divide Using Synthetic Division	(x^4-4x^3+x^2+7x-2)÷(x-2)	$(x^{4} - 4 x^{3} + x^{2} + 7 x - 2) \div (x - 2)$
211350	Simplify	(1-cos(2x))(1+cos(2x))	$(1 - \cos (2 x)) (1 + \cos (2 x))$
211351	Solve for n	(8n)/8=8/3	$\frac{8 n}{8} = \frac{8}{3}$
211352	Evaluate	((x+3)/(x^2-2x-3))÷((x^2+2x-3)/(x+1))	$\frac{x + 3}{x^{2} - 2 x - 3} \div \frac{x^{2} + 2 x - 3}{x + 1}$
211353	Solve for x	(8x)/(2x+1)=6/4	$\frac{8 x}{2 x + 1} = \frac{6}{4}$
211354	Graph	f(x)=tan(2)(x+(3pi)/2)+3	$f (x) = \tan (2) (x + \frac{3 π}{2}) + 3$
211355	Solve for a	3(a+2)+5=2a+4	$3 (a + 2) + 5 = 2 a + 4$
211356	Solve the Inequality for x	-4<(6x-9)/9<4	$- 4 < \frac{6 x - 9}{9} < 4$
211357	Simplify	27x^2-5y^2+(12y^2-14x^2)	$27 x^{2} - 5 y^{2} + (12 y^{2} - 14 x^{2})$
211358	Convert to Radical Form	1/((2x^2+2)^(-1/5))	$\frac{1}{{(2 x^{2} + 2)}^{- \frac{1}{5}}}$
211359	Simplify	((2^-4)÷(2^4))÷(2^-5)	$(2^{- 4} \div 2^{4}) \div 2^{- 5}$
211360	Find the Degree	-7y-4z^5-6z^3x^4	$- 7 y - 4 z^{5} - 6 z^{3} x^{4}$
211361	Solve the Inequality for x	8-x>=5(8-x)	$8 - x \geq 5 (8 - x)$
211362	Divide	(18m^2n-4mn^2)/(-2mn)	$\frac{18 m^{2} n - 4 m n^{2}}{- 2 m n}$
211363	Solve for x	1/(5x)-7/(3x)=1	$\frac{1}{5 x} - \frac{7}{3 x} = 1$
211364	Factor	y=x^4-4x^2	$y = x^{4} - 4 x^{2}$
211365	Simplify	(-5(x^-2y^-3)^3)/(7(x^-2y^3)^-4)	$\frac{- 5 {(x^{- 2} y^{- 3})}^{3}}{7 {(x^{- 2} y^{3})}^{- 4}}$
211366	Solve Using the Square Root Property	-6(x+4)^2-36=0	$- 6 {(x + 4)}^{2} - 36 = 0$
211367	Simplify	2x^4-2x^2(2x^3)^-1	$2 x^{4} \cdot - 2 x^{2} \cdot {(2 x^{3})}^{- 1}$
211368	Find the Roots (Zeros)	x+y=4	$x + y = 4$
211369	Simplify the Radical Expression	3/(2+ square root of 7)	$\frac{3}{2 + \sqrt{7}}$
211370	Find the Exact Value	cot(-(4pi)/9)	$\cot (- \frac{4 π}{9})$
211371	Graph	1/2x=y^2-4	$\frac{1}{2} x = y^{2} - 4$
211372	Solve Using the Quadratic Formula	9x^2-4=7x^2-7x	$9 x^{2} - 4 = 7 x^{2} - 7 x$
211373	Find the End Behavior	y=x^2-14x+49	$y = x^{2} - 14 x + 49$
211374	Solve the Rational Equation for x	square root of 2x- square root of 36-2x=6	$\sqrt{2 x} - \sqrt{36 - 2 x} = 6$
211375	Evaluate	3/2(3^-2)	$\frac{3}{2} (3^{- 2})$
211376	Find the Exact Value	3.5+(1+4)*(6.5+1.5)	$3.5 + (1 + 4) \cdot (6.5 + 1.5)$
211377	Solve for x	square root of x^2-2x+1>=4	$\sqrt{x^{2} - 2 x + 1} \geq 4$
211378	Graph	f(x)=cos(-(2x)/3)	$f (x) = \cos (- \frac{2 x}{3})$
211379	Simplify	b square root of 45c^3+4c square root of 20b^2c	$b \sqrt{45 c^{3}} + 4 c \sqrt{20 b^{2} c}$
211380	Simplify the Radical Expression	( cube root of 5)/( cube root of 4x^2)	$\frac{\sqrt[3]{5}}{\sqrt[3]{4 x^{2}}}$
211381	Solve the Inequality for t	-25+t/2>=50	$- 25 + \frac{t}{2} \geq 50$
211382	Simplify	(tan(A)(sec(A)-cos(A)))/(sin(A))	$\frac{\tan (A) (\sec (A) - \cos (A))}{\sin (A)}$
211383	Simplify	cos(t(1+tan(t)^2))	$\cos (t (1 + \tan^{2} (t)))$
211384	Graph	-2x+4y=6 x-2y=-3	$- 2 x + 4 y = 6$ $x - 2 y = - 3$
211385	Simplify	3a(a^2-3a+4)-4(3a^3-2a^2)	$3 a (a^{2} - 3 a + 4) - 4 (3 a^{3} - 2 a^{2})$
211386	Factor	2x(x-10)-400	$2 x (x - 10) - 400$
211387	Simplify	-2/5x+30+3/5x+20	$- \frac{2}{5} x + 30 + \frac{3}{5} x + 20$
211388	Solve for x	3.2/x=7.5/(x^2)	$\frac{3.2}{x} = \frac{7.5}{x^{2}}$
211389	Solve for v	8v+14=5v+6v-10	$8 v + 14 = 5 v + 6 v - 10$
211390	Solve for θ	tan(theta)*cos(theta)=-cos(theta)	$\tan (θ) \cdot \cos (θ) = - \cos (θ)$
211391	Find All Complex Solutions	-(x^2+x-8)/((x-3)(x+5))=x/(x-3)	$- \frac{x^{2} + x - 8}{(x - 3) (x + 5)} = \frac{x}{x - 3}$
211392	Solve the Inequality for x	(x^2-16)/(x^2+6x+8)>0	$\frac{x^{2} - 16}{x^{2} + 6 x + 8} > 0$
211393	Solve the System of Equations	2y=2x^2+4x-8 y=2x^2-28	$2 y = 2 x^{2} + 4 x - 8$ $y = 2 x^{2} - 28$
211394	Solve the Inequality for x	cos(x)>1/2	$\cos (x) > \frac{1}{2}$
211395	Write in Standard Form	(12x-1+2x^2)+(x^2+4)	$(12 x - 1 + 2 x^{2}) + (x^{2} + 4)$
211396	Evaluate	-2(6^2-(8-5)^3)	$- 2 (6^{2} - {(8 - 5)}^{3})$
211397	Evaluate	(5 2/3)^2-(4 1/3)^2	${(5 \frac{2}{3})}^{2} - {(4 \frac{1}{3})}^{2}$
211398	Simplify the Radical Expression	( square root of 3+ square root of 5)( square root of 3- square root of 5)	$(\sqrt{3} + \sqrt{5}) (\sqrt{3} - \sqrt{5})$
211399	Solve for x	x/2-1=(3-x)/5	$\frac{x}{2} - 1 = \frac{3 - x}{5}$
211400	Evaluate	square root of 2x=6	$\sqrt{2 x} = 6$