Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
209201	Graph	y=9^(1-x^2)	$y = 9^{1 - x^{2}}$
209202	Solve for x	(10x/6)(10x/8)=10^10	$(10 \frac{x}{6}) (10 \frac{x}{8}) = 10^{10}$
209203	Divide	(9x^2-y^2)÷(3x+y)	$(9 x^{2} - y^{2}) \div (3 x + y)$
209204	Evaluate	(3pi)/2-(2pi)/3	$\frac{3 π}{2} - \frac{2 π}{3}$
209205	Find the Exact Value	sin(1/(2/(5pi)))	$\sin (\frac{1}{\frac{2}{5 π}})$
209206	Simplify	(-2/9)(-3x)(-6)	$(- \frac{2}{9}) (- 3 x) (- 6)$
209207	Find the Exact Value	csc(480 degrees )	$\csc (480 °)$
209208	Evaluate	( square root of 9)/2-(2^3+(-3/2+8(10-3)))	$\frac{\sqrt{9}}{2} - (2^{3} + (- \frac{3}{2} + 8 (10 - 3)))$
209209	Graph	y=1- square root of 2x+3	$y = 1 - \sqrt{2 x + 3}$
209210	Simplify the Radical Expression	cube root of (x-5)^6	$\sqrt[3]{{(x - 5)}^{6}}$
209211	Simplify	(3+4i)-(7-5i)+2i(9+12i)	$(3 + 4 i) - (7 - 5 i) + 2 i (9 + 12 i)$
209212	Find the x and y Intercepts	(3x^2-9x+6)/(5x-10)	$\frac{3 x^{2} - 9 x + 6}{5 x - 10}$
209213	Simplify the Radical Expression	square root of 4(x-1)^8	$\sqrt{4 {(x - 1)}^{8}}$
209214	Solve for x	2^(x^2-4)=3^(x^2-4)	$2^{x^{2} - 4} = 3^{x^{2} - 4}$
209215	Simplify	(5a)/(5a+5)*(10a+10)	$\frac{5 a}{5 a + 5} \cdot (10 a + 10)$
209216	Determine if a Polynomial	m+m^2	$m + m^{2}$
209217	Solve for T	B=T-LC	$B = T - L C$
209218	Graph	y=1/2cot(x/2)	$y = \frac{1}{2} \cot (\frac{x}{2})$
209219	Factor	x^4-5x^2-36=0	$x^{4} - 5 x^{2} - 36 = 0$
209220	Simplify	(3a)/( square root of 9+ square root of 5)	$\frac{3 a}{\sqrt{9} + \sqrt{5}}$
209221	Simplify	square root of 2^3* fifth root of 2^4	$\sqrt{2^{3}} \cdot \sqrt[5]{2^{4}}$
209222	Find the Product	(8a^2+4)(8a^2-4)	$(8 a^{2} + 4) (8 a^{2} - 4)$
209223	Simplify	( square root of 3-2)/(4+ square root of 3)	$\frac{\sqrt{3} - 2}{4 + \sqrt{3}}$
209224	Graph	5/8z>5/6	$\frac{5}{8} z > \frac{5}{6}$
209225	Solve for x	(2^5)/(2^(-2x))=2^8	$\frac{2^{5}}{2^{- 2 x}} = 2^{8}$
209226	Simplify	(16^-2a^-4b^0)/((2a^2b)^-5)	$\frac{16^{- 2} a^{- 4} b^{0}}{{(2 a^{2} b)}^{- 5}}$
209227	Evaluate	1*2/( square root of 3)	$1 \cdot \frac{2}{\sqrt{3}}$
209228	Find the Quotient	(12x^2-7x+8)/(3x+2)	$\frac{12 x^{2} - 7 x + 8}{3 x + 2}$
209229	Find P(s(x))	P(x)=3x^2+1 and s(a)=4a+4	$P (x) = 3 x^{2} + 1$ and $s (a) = 4 a + 4$
209230	Solve by Substitution	6x-9=y and y=-3x	$6 x - 9 = y$ and $y = - 3 x$
209231	Divide	((-4x-12)/(x-7))÷((x^2-12x+36)/(2x-14))	$\frac{- 4 x - 12}{x - 7} \div \frac{x^{2} - 12 x + 36}{2 x - 14}$
209232	Simplify	((15n^5m^3)/(5m^4n^2))^2	${(\frac{15 n^{5} m^{3}}{5 m^{4} n^{2}})}^{2}$
209233	Evaluate	square root of x+7-x=1	$\sqrt{x + 7} - x = 1$
209234	Solve for x	(2x^2+5x-3)/(x+3)=7	$\frac{2 x^{2} + 5 x - 3}{x + 3} = 7$
209235	Solve for x	8^x=2^5*4^4	$8^{x} = 2^{5} \cdot 4^{4}$
209236	Simplify	((4x^5y)/(16xy^4))	$(\frac{4 x^{5} y}{16 x y^{4}})$
209237	Simplify	(4x)/3-2(x+4)	$\frac{4 x}{3} - 2 (x + 4)$
209238	Solve by Graphing	y=-1/2x+8 x-4y=-8	$y = - \frac{1}{2} x + 8$ $x - 4 y = - 8$
209239	Solve for x	-7+(2x+3)^(1/3)=0	$- 7 + {(2 x + 3)}^{\frac{1}{3}} = 0$
209240	Solve for x	y=x/(x-1)	$y = \frac{x}{x - 1}$
209241	Simplify	(x^2-10x+25)/(10x-100)*(x-10)/(45-9x)	$\frac{x^{2} - 10 x + 25}{10 x - 100} \cdot \frac{x - 10}{45 - 9 x}$
209242	Simplify	(16 square root of 3)/( square root of 8)	$\frac{16 \sqrt{3}}{\sqrt{8}}$
209243	Find the GCF	10a^2b+12ab^2	$10 a^{2} b + 12 a b^{2}$
209244	Simplify	(x/(xy)-2)/(2xy-3/y)	$\frac{\frac{x}{x y} - 2}{2 x y - \frac{3}{y}}$
209245	Solve for x	(2(x-3))/4=(3x-5)/14	$\frac{2 (x - 3)}{4} = \frac{3 x - 5}{14}$
209246	Divide	(a^6+b^6)÷(a^2+b^2)	$(a^{6} + b^{6}) \div (a^{2} + b^{2})$
209247	Solve the Rational Equation for x	3- square root of x-4=0	$3 - \sqrt{x - 4} = 0$
209248	Find the Roots (Zeros)	x^3-3x^2-10x-x^2+3x+10=0	$x^{3} - 3 x^{2} - 10 x - x^{2} + 3 x + 10 = 0$
209249	Solve for b	a=-bcd	$a = - b c d$
209250	Solve the Inequality for x	(x+1)(x^2-6x+9)>0	$(x + 1) (x^{2} - 6 x + 9) > 0$
209251	Solve the Rational Equation for x	cube root of 2x=4	$\sqrt[3]{2 x} = 4$
209252	Solve for x	2/(x+3)+1/(x-4)=-4/(x^2-x-12)	$\frac{2}{x + 3} + \frac{1}{x - 4} = - \frac{4}{x^{2} - x - 12}$
209253	Evaluate	log base 2/3 of 9/4	$\log_{\frac{2}{3}} (\frac{9}{4})$
209254	Solve for x	15/(x+7)=x+5	$\frac{15}{x + 7} = x + 5$
209255	Solve the Inequality for h	h/2<-5	$\frac{h}{2} < - 5$
209256	Solve for x	Solve 81^x=27^(x+2)	Solve $81^{x} = 27^{x + 2}$
209257	Simplify	x-15<=-6	$x - 15 \leq - 6$
209258	Simplify	( square root of a^3)( square root of a^5)	$(\sqrt{a^{3}}) (\sqrt{a^{5}})$
209259	Simplify	12-8÷4+((6+2)-3)^2*3	$12 - 8 \div 4 + {((6 + 2) - 3)}^{2} \times 3$
209260	Solve for v	v^2=13v	$v^{2} = 13 v$
209261	Solve the Inequality for p	-5p>-30	$- 5 p > - 30$
209262	Find the x and y Intercepts	f(x)=(4x^2-1)/(x^2+7x)	$f (x) = \frac{4 x^{2} - 1}{x^{2} + 7 x}$
209263	Simplify	(-xy)^2	${(- x y)}^{2}$
209264	Simplify	(4x^7y^-1)/((5y)^2-7y^2)	$\frac{4 x^{7} y^{- 1}}{{(5 y)}^{2} - 7 y^{2}}$
209265	Write the Fraction in Simplest Form	(4z^-1)/(-3(z^5)^3)	$\frac{4 z^{- 1}}{- 3 {(z^{5})}^{3}}$
209266	Solve the Inequality for x	3(4-5x)>8x-149	$3 (4 - 5 x) > 8 x - 149$
209267	Solve the Rational Equation for x	(5x)/(x+2)=(3x)/(x+1)	$\frac{5 x}{x + 2} = \frac{3 x}{x + 1}$
209268	Evaluate	30% of 30	$30 %$ of $30$
209269	Simplify	(7m^4+6m^2+7)+(2m^4-3m^2+1)	$(7 m^{4} + 6 m^{2} + 7) + (2 m^{4} - 3 m^{2} + 1)$
209270	Simplify	11x-5(4(x+1))	$11 x - 5 (4 (x + 1))$
209271	Simplify	12(5(30-103)+2(6-23))+8(9(64÷4-44)+(42)÷2)	$12 (5 (30 - 10 \cdot 3) + 2 (6 - 2 \cdot 3)) + 8 (9 (64 \div 4 - 4 \cdot 4) + 4 \cdot 2 \div 2)$
209272	Simplify	fifth root of 2pq^6*2 square root of 2p^3q	$\sqrt[5]{2 p q^{6}} \cdot 2 \sqrt{2 p^{3} q}$
209273	Solve by Substitution	j+k=3 j-k=7	$j + k = 3$ $j - k = 7$
209274	Divide	((x^2-x-6)/(2x^4-6x^3))÷((x+2)/(4x^3))	$\frac{x^{2} - x - 6}{2 x^{4} - 6 x^{3}} \div \frac{x + 2}{4 x^{3}}$
209275	Graph	Graph y< = square root of x-5+2	Graph $y \leq \sqrt{x - 5} + 2$
209276	Evaluate	64^(2x+4)=16^(5x)	$64^{2 x + 4} = 16^{5 x}$
209277	Simplify	-12xy+7xz-3xz+5xy+z	$- 12 x y + 7 x z - 3 x z + 5 x y + z$
209278	Simplify	((3+6i)^2)/(2i)	$\frac{{(3 + 6 i)}^{2}}{2 i}$
209279	Simplify	x/(x-4)+2/(x^2-4x)	$\frac{x}{x - 4} + \frac{2}{x^{2} - 4 x}$
209280	Solve for x	4(4-x)+6x=x+16-4x	$4 (4 - x) + 6 x = x + 16 - 4 x$
209281	Evaluate	2x-y>10	$2 x - y > 10$
209282	Simplify	ax(2x-3a)-x(ax+5a^2)	$a x (2 x - 3 a) - x (a x + 5 a^{2})$
209283	Solve for x	81^(2x+5)=(1/3)^(2x)	$81^{2 x + 5} = {(\frac{1}{3})}^{2 x}$
209284	Simplify the Radical Expression	(16/3)^(-3/4)	${(\frac{16}{3})}^{- \frac{3}{4}}$
209285	Simplify	-5(3x^2-2x+2)-3x(4x-5)	$- 5 (3 x^{2} - 2 x + 2) - 3 x (4 x - 5)$
209286	Solve for h	2 cube root of h+5=4 cube root of 2h-15	$2 \sqrt[3]{h + 5} = 4 \sqrt[3]{2 h - 15}$
209287	Solve for p	7p+34=-2(1-5p)	$7 p + 34 = - 2 (1 - 5 p)$
209288	Simplify	3 fourth root of 32*(-6 fourth root of 5)	$3 \sqrt[4]{32} \cdot (- 6 \sqrt[4]{5})$
209289	Find the Perpendicular Line	y-2=7/3(x+5) , (-4,9)	$y - 2 = \frac{7}{3} (x + 5)$ , $(- 4, 9)$
209290	Solve for S	SA=pirs+pir^2	$S A = π r s + π r^{2}$
209291	Simplify	((x^-3y)/(xz^-4))^-2	${(\frac{x^{- 3} y}{x z^{- 4}})}^{- 2}$
209292	Evaluate	(2^55^22-25^21)/(25^10)	$\frac{2^{5} \cdot 5^{22} - 2 \cdot 5^{21}}{25^{10}}$
209293	Solve for k	(1/216)^(-2k)=(1/36)^(k+2)	${(\frac{1}{216})}^{- 2 k} = {(\frac{1}{36})}^{k + 2}$
209294	Convert to Radical Form	(125)(2/3)	$(125) (\frac{2}{3})$
209295	Simplify	5y^6+(-8y^6)	$5 y^{6} + (- 8 y^{6})$
209296	Graph	-(6+2x)=4x-2(x+1)	$- (6 + 2 x) = 4 x - 2 (x + 1)$
209297	Graph	D={x\|x>=0}	$D = {x \| x \geq 0}$
209298	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 $(6, 9)$ ?
209299	Solve the Inequality for y	y/6<=2	$\frac{y}{6} \leq 2$
209300	Simplify	7/(16x^3)-3/(8x^2)	$\frac{7}{16 x^{3}} - \frac{3}{8 x^{2}}$