Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
229201	Evaluate	cos((2n+1)*90 degrees )	$\cos ((2 n + 1) \cdot 90 °)$
229202	Divide	(5/2)÷(-15/17)	$\frac{5}{2} \div (- \frac{15}{17})$
229203	Simplify	( square root of 25x^3)/( square root of 4)	$\frac{\sqrt{25 x^{3}}}{\sqrt{4}}$
229204	Simplify	3 square root of -64i	$3 \sqrt{- 64 i}$
229205	Solve for x	-1/2x-3/5=1/5x	$- \frac{1}{2} x - \frac{3}{5} = \frac{1}{5} x$
229206	Solve for t	(2(4t-6t))/40=(7+2)/3	$\frac{2 (4 t - 6 t)}{40} = \frac{(7 + 2)}{3}$
229207	Find the Exact Value	cos(30 degrees )+cos(150 degrees )+cos(210 degrees )+cos(330 degrees )	$\cos (30 °) + \cos (150 °) + \cos (210 °) + \cos (330 °)$
229208	Solve for x	x^2=5/6x-1/6	$x^{2} = \frac{5}{6} x - \frac{1}{6}$
229209	Factor	1/6x+3/4(1/2x-4)	$\frac{1}{6} x + \frac{3}{4} (\frac{1}{2} x - 4)$
229210	Simplify the Radical Expression	i^24	$i^{24}$
229211	Solve for x	2x^2-11/2x-3/2=0	$2 x^{2} - \frac{11}{2} x - \frac{3}{2} = 0$
229212	Multiply	square root of 14/3* square root of 21/2	$\sqrt{\frac{14}{3}} \cdot \sqrt{\frac{21}{2}}$
229213	Graph Using a Table of Values	-2(1/2)^x	$- 2 {(\frac{1}{2})}^{x}$
229214	Solve for x	seventh root of (5^16+5^x)/(5^x+5^2)=5	$\sqrt[7]{\frac{5^{16} + 5^{x}}{5^{x} + 5^{2}}} = 5$
229215	Solve for x	7z+13x-4(x-6)=18x	$7 z + 13 x - 4 (x - 6) = 18 x$
229216	Factor	-x^3+3x^2-4	$- x^{3} + 3 x^{2} - 4$
229217	Simplify	(11^(4/5)*11^(-4/5))^2	${(11^{\frac{4}{5}} \cdot 11^{- \frac{4}{5}})}^{2}$
229218	Solve by Addition/Elimination	4x=2y+18 x-8y=12	$4 x = 2 y + 18$ $x - 8 y = 12$
229219	Evaluate Using the Given Value	x-3 for x=5	$x - 3$ for $x = 5$
229220	Solve the Inequality for b₁	A=1/2h(b_1+b_2)	$A = \frac{1}{2} h (b_{1} + b_{2})$
229221	Simplify	2^-14*5^10	$2^{- 14} \cdot 5^{10}$
229222	Divide Using Long Polynomial Division	(x^2+x-6)/(x+3)	$\frac{x^{2} + x - 6}{x + 3}$
229223	Simplify	(3/(4x^3))÷((10x)/3)	$\frac{3}{4 x^{3}} \div \frac{10 x}{3}$
229224	Solve the Rational Equation for x	(3x-21)^(1/3)=(19-x)^(1/3)	${(3 x - 21)}^{\frac{1}{3}} = {(19 - x)}^{\frac{1}{3}}$
229225	Solve for x	(x+9)/(x^2-5x+6)<=0	$\frac{x + 9}{x^{2} - 5 x + 6} \leq 0$
229226	Convert to a Percentage	what percent of 29 is 3	what percent of $29$ is $3$
229227	Evaluate	9/(v-3)-5/(v+1)=28/(v^2-2v-3)	$\frac{9}{v - 3} - \frac{5}{v + 1} = \frac{28}{v^{2} - 2 v - 3}$
229228	Simplify	cos(x)^2*csc(x)-csc(x)	$\cos^{2} (x) \cdot \csc (x) - \csc (x)$
229229	Multiply	-x^2*(-x)	$- x^{2} \cdot (- x)$
229230	Evaluate	40% of 120	$40 %$ of $120$
229231	Simplify	6/( square root of 4y^7)	$\frac{6}{\sqrt{4 y^{7}}}$
229232	Simplify	(8+w)(64-8w+w^2)	$(8 + w) (64 - 8 w + w^{2})$
229233	Write in Standard Form	y=-1/2x^2+4x-3	$y = \frac{- 1}{2} x^{2} + 4 x - 3$
229234	Factor by Grouping	24x^3y^2-18xy^3+12y^3	$24 x^{3} y^{2} - 18 x y^{3} + 12 y^{3}$
229235	Expand the Logarithmic Expression	log base 9 of (4^3)/5	$\log_{9} (\frac{4^{3}}{5})$
229236	Write in Standard Form	x^2-6=x	$x^{2} - 6 = x$
229237	Solve for x	(x-6)/4<(x-3)/6+1/12	$\frac{x - 6}{4} < \frac{x - 3}{6} + \frac{1}{12}$
229238	Graph	y=2 log base 2 of -x+2-2	$y = 2 \log_{2} (- x + 2) - 2$
229239	Solve for v	5v^2+17v+5=6v	$5 v^{2} + 17 v + 5 = 6 v$
229240	Solve the Inequality for x	-30<=-3/4(x+4)	$- 30 \leq - \frac{3}{4} (x + 4)$
229241	Solve for n	2 1/10n=1 1/6	$2 \frac{1}{10} n = 1 \frac{1}{6}$
229242	Find the Exact Value	sin((3pi)/4)+cos((5pi)/4)	$\sin (\frac{3 π}{4}) + \cos (\frac{5 π}{4})$
229243	Simplify	y/(x^2)+1/(x^2y^2)	$\frac{y}{x^{2}} + \frac{1}{x^{2} y^{2}}$
229244	Graph	y=(e^x)/x	$y = \frac{e^{x}}{x}$
229245	Solve for x	x^2-5yx+4y^2=0	$x^{2} - 5 y x + 4 y^{2} = 0$
229246	Simplify	( cube root of x^5)/( square root of x)	$\frac{\sqrt[3]{x^{5}}}{\sqrt{x}}$
229247	Simplify the Radical Expression	6 square root of 4*2 square root of 5	$6 \sqrt{4} \cdot 2 \sqrt{5}$
229248	Evaluate	(d+2)(-7)	$(d + 2) (- 7)$
229249	Write in Standard Form	-1/9x^2-x^5-7x+3x^4+1	$- \frac{1}{9} x^{2} - x^{5} - 7 x + 3 x^{4} + 1$
229250	Evaluate	2*36^(-1/2)+6^-1	$2 \cdot 36^{- \frac{1}{2}} + 6^{- 1}$
229251	Subtract	-7x^2+1--2x^2-4x	$- 7 x^{2} + 1 - - 2 x^{2} - 4 x$
229252	Solve for p	5p=21+2p	$5 p = 21 + 2 p$
229253	Simplify	((3x^2y^3)^2)^2(x^3yz^5)^3	${({(3 x^{2} y^{3})}^{2})}^{2} {(x^{3} y z^{5})}^{3}$
229254	Find the Exact Value	(64+4^2)/(2^2)	$\frac{(64 + 4^{2})}{2^{2}}$
229255	Simplify the Radical Expression	(81 1/4)^5	${(81 \frac{1}{4})}^{5}$
229256	Evaluate the Function	f(-2)=-2^2-4	$f (- 2) = - 2^{2} - 4$
229257	Write in Standard Form	4x^2-y^2-6y=25	$4 x^{2} - y^{2} - 6 y = 25$
229258	Solve for t	square root of 3t+1+ square root of 5-t=4	$\sqrt{3 t + 1} + \sqrt{5 - t} = 4$
229259	Subtract	(7x^3+3x^2+4x+10)-(10+8x+3x^3)	$(7 x^{3} + 3 x^{2} + 4 x + 10) - (10 + 8 x + 3 x^{3})$
229260	Multiply	151413121110987654321	$15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$
229261	Solve for v	4v^2=28v	$4 v^{2} = 28 v$
229262	Evaluate	(19-4^2)/(3^1)	$\frac{19 - 4^{2}}{3^{1}}$
229263	Solve for x	x-5(x+1)=5+x	$x - 5 (x + 1) = 5 + x$
229264	Find the LCD	(x^2+4x+4)/(x^2-4)-2/(x+2)	$\frac{(x^{2} + 4 x + 4)}{x^{2} - 4} - \frac{2}{(x + 2)}$
229265	Find the Exact Value	(m-3+4n)*(-8)	$(m - 3 + 4 n) \cdot (- 8)$
229266	Solve the Inequality for m	88>-2(4-2m)+8m	$88 > - 2 (4 - 2 m) + 8 m$
229267	Divide	( square root of 252)/3	$\frac{\sqrt{252}}{3}$
229268	Graph	f(x)=1/2e^x	$f (x) = \frac{1}{2} e^{x}$
229269	Find the Product	(m-3+4n)*(-8)	$(m - 3 + 4 n) \cdot (- 8)$
229270	Solve for x	2(6x+9-3x)=5x+21	$2 (6 x + 9 - 3 x) = 5 x + 21$
229271	Describe the Transformation	f(x)=sin(x) g(x)=sin(x-pi)	$f (x) = \sin (x)$ $g (x) = \sin (x - π)$
229272	Evaluate	(1/2)^3+2/3	${(\frac{1}{2})}^{3} + \frac{2}{3}$
229273	Simplify	9h^2+14g-12g-2h^2	$9 h^{2} + 14 g - 12 g - 2 h^{2}$
229274	Simplify	(4^0)(5^-1)(6^-1)(100^0)(1/(2^-1))	$(4^{0}) (5^{- 1}) (6^{- 1}) (100^{0}) (\frac{1}{2^{- 1}})$
229275	Solve the Rational Equation for a	a/(a^2-36)+2/(a-6)=1/(a+6)	$\frac{a}{a^{2} - 36} + \frac{2}{a - 6} = \frac{1}{a + 6}$
229276	Solve by Addition/Elimination	-2x-5y=9 and 3x+11y=4	$- 2 x - 5 y = 9$ and $3 x + 11 y = 4$
229277	Solve the Absolute Value Inequality for a	6=\|5a-6\|	$6 = \| 5 a - 6 \|$
229278	Graph	y=-3/2(x+5)-2	$y = - \frac{3}{2} (x + 5) - 2$
229279	Simplify the Radical Expression	ninth root of x^-2*x^5	$\sqrt[9]{x^{- 2} \cdot x^{5}}$
229280	Find the Excluded Values	(3x^2)/(x^2-3x-18)-(x+2)/(x-6)	$\frac{3 x^{2}}{x^{2} - 3 x - 18} - \frac{x + 2}{x - 6}$
229281	Graph	x>3 y<=2x-5	$x > 3$ $y \leq 2 x - 5$
229282	Evaluate	6÷6+1+1-5	$6 \div 6 + 1 + 1 - 5$
229283	Solve Using the Quadratic Formula	x^2-6=2-18x	$x^{2} - 6 = 2 - 18 x$
229284	Write in Slope-Intercept Form	1/3y=2x-1	$\frac{1}{3} y = 2 x - 1$
229285	Convert to a Decimal	78deg	$78$ degrees
229286	Find the x and y Intercepts	F(x)=(2x^2)/(x^2+4)	$F (x) = \frac{2 x^{2}}{x^{2} + 4}$
229287	Multiply	7 square root of 3y^2*2 square root of 6x^3y	$7 \sqrt{3 y^{2}} \cdot 2 \sqrt{6 x^{3} y}$
229288	Solve the System of Equations	y=-x^2+3x+2 y=3x+2	$y = - x^{2} + 3 x + 2$ $y = 3 x + 2$
229289	Evaluate	((3x^5y^3)^5)/((6x^10y^7)^2)	$\frac{{(3 x^{5} y^{3})}^{5}}{{(6 x^{10} y^{7})}^{2}}$
229290	Simplify the Radical Expression	- square root of 19^7	$- \sqrt{19^{7}}$
229291	Evaluate	(x-2)/(x+3)=3/8	$\frac{x - 2}{x + 3} = \frac{3}{8}$
229292	Write Using Positive Exponents	-3m^-2np^-4	$- 3 m^{- 2} n p^{- 4}$
229293	Simplify	( square root of 2+2)/(2- square root of 2)	$\frac{\sqrt{2} + 2}{2 - \sqrt{2}}$
229294	Find the x and y Intercepts	f(x)=-5x(2x+1)^2(x^2-6)(x^2+9)	$f (x) = - 5 x {(2 x + 1)}^{2} (x^{2} - 6) (x^{2} + 9)$
229295	Solve the Inequality for x	(x^2-4)/(x^2+36)>=0	$\frac{(x^{2} - 4)}{x^{2} + 36} \geq 0$
229296	Evaluate	((2xy^5)^3)/(2x^3y^8)	$\frac{{(2 x y^{5})}^{3}}{2 x^{3} y^{8}}$
229297	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+17x^2+21x+10 is divided by 3x+2	Use the long division method to find the result when $12 x^{3} + 17 x^{2} + 21 x + 10$ is divided by $3 x + 2$
229298	Solve for v	v=4 square root of 400	$v = 4 \sqrt{400}$
229299	Subtract	-3/4-3/4	$- \frac{3}{4} - \frac{3}{4}$
229300	Evaluate	square root of -1^2+2^2	$\sqrt{- 1^{2} + 2^{2}}$