Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
215201	Solve the Rational Equation for x	(x^2-29)/(x^2-10x+21)=6/(x-7)+5/(x-3)	$\frac{x^{2} - 29}{x^{2} - 10 x + 21} = \frac{6}{x - 7} + \frac{5}{x - 3}$
215202	Simplify	(2x^2-3x+4)+(2-4x-2x^2-x^3)	$(2 x^{2} - 3 x + 4) + (2 - 4 x - 2 x^{2} - x^{3})$
215203	Solve for y	y^4=400	$y^{4} = 400$
215204	Factor by Grouping	x^2(x-5)+3(x-5)	$x^{2} (x - 5) + 3 (x - 5)$
215205	Multiply	6x^5(2x^6+4x^5-7x^3+3x)	$6 x^{5} (2 x^{6} + 4 x^{5} - 7 x^{3} + 3 x)$
215206	Factor by Grouping	4y^3+y+12y^2+3	$4 y^{3} + y + 12 y^{2} + 3$
215207	Graph	y=-2/3x+2 y=-2	$y = - \frac{2}{3} x + 2$ $y = - 2$
215208	Solve for z	0 = cube root of 2(462)+z-12	$0 = \sqrt[3]{2 (462) + z} - 12$
215209	Multiply	(x^2+y)(x+y^2)	$(x^{2} + y) (x + y^{2})$
215210	Simplify	(3/(32^(2/5)))^(1/2)	${(\frac{3}{32^{\frac{2}{5}}})}^{\frac{1}{2}}$
215211	Simplify	( square root of 3xy)/( square root of 8x^7y)	$\frac{\sqrt{3 x y}}{\sqrt{8 x^{7} y}}$
215212	Simplify	((5a^-3b^3)(4a^4))^0	${((5 a^{- 3} b^{3}) (4 a^{4}))}^{0}$
215213	Graph	2 or x>7	$2$ or $x > 7$
215214	Simplify	5/4-(b+3)/(b-2)	$\frac{5}{4} - \frac{b + 3}{b - 2}$
215215	Simplify the Radical Expression	3 fourth root of 27x^3*2 fourth root of 3x^5	$3 \sqrt[4]{27 x^{3}} \cdot 2 \sqrt[4]{3 x^{5}}$
215216	Simplify	(19-7)÷4+11	$(19 - 7) \div 4 + 11$
215217	Simplify	4(x+2x^2)	$4 (x + 2 x^{2})$
215218	Multiply	3a(2+5b)	$3 a (2 + 5 b)$
215219	Simplify	(27p^6)^(5/5)	${(27 p^{6})}^{\frac{5}{5}}$
215220	Evaluate	(x^0y^2)^3	${(x^{0} y^{2})}^{3}$
215221	Simplify	((x+y)^-2)^2	${({(x + y)}^{- 2})}^{2}$
215222	Evaluate	square root of 2sin((3pi)/8)cos((3pi)/8)	$\sqrt{2} \sin (\frac{3 π}{8}) \cos (\frac{3 π}{8})$
215223	Divide	(2x^3-10x^2+x-5)÷(x-5)	$(2 x^{3} - 10 x^{2} + x - 5) \div (x - 5)$
215224	Simplify	(2+3i)(1+(-4i))	$(2 + 3 i) (1 + (- 4 i))$
215225	Simplify	-6(-6x-3)+3x(x-5)	$- 6 (- 6 x - 3) + 3 x (x - 5)$
215226	Convert to Radical Form	(ab)1/2	$(a b) \frac{1}{2}$
215227	Solve the System of Equations	y=-x^2+49 2x+y=1	$y = - x^{2} + 49$ $2 x + y = 1$
215228	Simplify	(5x-15)/(4x^2)*(x^3)/(6x-18)	$\frac{5 x - 15}{4 x^{2}} \cdot \frac{x^{3}}{6 x - 18}$
215229	Evaluate	2(5v+6)-6(-9v+2)	$2 (5 v + 6) - 6 (- 9 v + 2)$
215230	Solve for x	(x^2+3)/(x^2+1)=2	$\frac{x^{2} + 3}{x^{2} + 1} = 2$
215231	Simplify	2/(-2 square root of 3)	$\frac{2}{- 2 \sqrt{3}}$
215232	Solve the Inequality for x	-1/2x^2+4x<=1	$- \frac{1}{2} x^{2} + 4 x \leq 1$
215233	Evaluate	(3* square root of 5)^2	${(3 \cdot \sqrt{5})}^{2}$
215234	Simplify	3cd(2c^12d^15)^3	$3 c d {(2 c^{12} d^{15})}^{3}$
215235	Simplify	3tan(x)cos(x)cot(x)	$3 \tan (x) \cos (x) \cot (x)$
215236	Solve for x	xy+3y=0	$x y + 3 y = 0$
215237	Simplify	- square root of 2( square root of 8+ square root of 32)	$- \sqrt{2} (\sqrt{8} + \sqrt{32})$
215238	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4+11x^3+11x^2-15x-18 is divided by x+2	Use synthetic division to find the result when $2 x^{4} + 11 x^{3} + 11 x^{2} - 15 x - 18$ is divided by $x + 2$
215239	Evaluate	1/2(5)^2pi/2	$\frac{1}{2} {(5)}^{2} \frac{π}{2}$
215240	Solve for x	x/6=(3x)/4	$\frac{x}{6} = \frac{3 x}{4}$
215241	Evaluate	13+((4^3)÷2)*5-17	$13 + (4^{3} \div 2) \cdot 5 - 17$
215242	Solve for x	7- square root of x-4=-6	$7 - \sqrt{x - 4} = - 6$
215243	Solve for k	(k+1)(k-1)=8	$(k + 1) (k - 1) = 8$
215244	Solve for x	4(x-2 1/4)=-3.7	$4 (x - 2 \frac{1}{4}) = - 3.7$
215245	Solve for b	(b^2)^a=b^8	${(b^{2})}^{a} = b^{8}$
215246	Factor	-8x(3x-7)^(-3/5)-3(3x-7)^(2/5)	$- 8 x {(3 x - 7)}^{- \frac{3}{5}} - 3 {(3 x - 7)}^{\frac{2}{5}}$
215247	Simplify	(m^3n^-5m^-1)^-3	${(m^{3} n^{- 5} m^{- 1})}^{- 3}$
215248	Solve the Inequality for x	square root of 2x+14-6>=4	$\sqrt{2 x + 14} - 6 \geq 4$
215249	Find the Holes in the Graph	(2x^2-8x-24)/(x^2-36)	$\frac{2 x^{2} - 8 x - 24}{x^{2} - 36}$
215250	Solve the Absolute Value Inequality for n	4\|n+8\|=56	$4 \| n + 8 \| = 56$
215251	Simplify	(x^2+14x+33)/(4x)(x^2-3x)/(x+3)(8x-56)/(x^2+4x-77)	$\frac{x^{2} + 14 x + 33}{4 x} \cdot \frac{x^{2} - 3 x}{x + 3} \cdot \frac{8 x - 56}{x^{2} + 4 x - 77}$
215252	Simplify the Radical Expression	1/2 square root of 4x-1/3 square root of 9x+1/4 square root of 64	$\frac{1}{2} \sqrt{4 x} - \frac{1}{3} \sqrt{9 x} + \frac{1}{4} \sqrt{64}$
215253	Solve the Inequality for x	x+2>3x-8	$x + 2 > 3 x - 8$
215254	Evaluate	(5m^-1n^2)(-3m^3n)	$(5 m^{- 1} n^{2}) (- 3 m^{3} n)$
215255	Simplify the Radical Expression	( cube root of 32x^3y^6)/( cube root of 2x^9y^2)	$\frac{\sqrt[3]{32 x^{3} y^{6}}}{\sqrt[3]{2 x^{9} y^{2}}}$
215256	Simplify	((6x)/5)÷(9/(5x^2))	$\frac{6 x}{5} \div \frac{9}{5 x^{2}}$
215257	Rationalize the Denominator	( square root of 8)/( square root of 3)	$\frac{\sqrt{8}}{\sqrt{3}}$
215258	Divide	( cube root of 32x^3y^6)/( cube root of 2x^9y^2)	$\frac{\sqrt[3]{32 x^{3} y^{6}}}{\sqrt[3]{2 x^{9} y^{2}}}$
215259	Simplify	square root of (3+x)/10	$\sqrt{\frac{3 + x}{10}}$
215260	Solve for x	-6+\|x-4\|=-6	$- 6 + \| x - 4 \| = - 6$
215261	Simplify	(3-4x-4x^2)/(2x^2-7x+3)	$\frac{3 - 4 x - 4 x^{2}}{2 x^{2} - 7 x + 3}$
215262	Solve the Inequality for s	s-10<=1	$s - 10 \leq 1$
215263	Simplify	(x-y)(x+y)(x^2+y^2)	$(x - y) (x + y) (x^{2} + y^{2})$
215264	Graph	y=-x+6 y=5	$y = - x + 6$ $y = 5$
215265	Divide Using Long Polynomial Division	(4x^3-3x^2+20x-20)÷(4x-3)	$(4 x^{3} - 3 x^{2} + 20 x - 20) \div (4 x - 3)$
215266	Solve for x	1/2kx^2=mgx	$\frac{1}{2} k x^{2} = mg x$
215267	Find the Exact Value	tan(pi/4)-sin(pi/6)	$\tan (\frac{π}{4}) - \sin (\frac{π}{6})$
215268	Solve the Inequality for p	12p<96	$12 p < 96$
215269	Solve the Inequality for m	m/4-3/20<=m/5+1	$\frac{m}{4} - \frac{3}{20} \leq \frac{m}{5} + 1$
215270	Solve by Substitution	x-3y=-15 and x=-3	$x - 3 y = - 15$ and $x = - 3$
215271	Write in Slope-Intercept Form	y-x<=3	$y - x \leq 3$
215272	Solve for x	(x-2)^2=x	${(x - 2)}^{2} = x$
215273	Simplify	(3+4)^2-32	${(3 + 4)}^{2} - 32$
215274	Write in y=mx+b Form	(-3,-28) , (0,-4) , (4,168) , (-5,-174)	$(- 3, - 28)$ , $(0, - 4)$ , $(4, 168)$ , $(- 5, - 174)$
215275	Evaluate	7(3x+6)=11-(x+2)	$7 (3 x + 6) = 11 - (x + 2)$
215276	Simplify	(5+i^10)(7-i)	$(5 + i^{10}) (7 - i)$
215277	Factor	3x^(7/2)-27x^(3/2)	$3 x^{\frac{7}{2}} - 27 x^{\frac{3}{2}}$
215278	Find the Holes in the Graph	f(x)=(x^2-7x)/(x-7)	$f (x) = \frac{x^{2} - 7 x}{x - 7}$
215279	Solve the System of Equations	-7x+5y=14 and 6x-7y=7	$- 7 x + 5 y = 14$ and $6 x - 7 y = 7$
215280	Solve by Addition/Elimination	x-2y=-14 y=-4x-2	$x - 2 y = - 14$ $y = - 4 x - 2$
215281	Simplify	( square root of 3)÷( cube root of 2)	$\sqrt{3} \div \sqrt[3]{2}$
215282	Solve the Absolute Value Inequality for x	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$
215283	Write in Slope-Intercept Form	(-3,9) and (0,1)	$(- 3, 9)$ and $(0, 1)$
215284	Simplify	1/( square root of 2)+3/( square root of 8)+6/( square root of 32)	$\frac{1}{\sqrt{2}} + \frac{3}{\sqrt{8}} + \frac{6}{\sqrt{32}}$
215285	Divide Using Synthetic Division	(2x^5-3x^3+x)/(x-3)	$\frac{2 x^{5} - 3 x^{3} + x}{x - 3}$
215286	Simplify the Radical Expression	square root of fourth root of 256z^8	$\sqrt{\sqrt[4]{256 z^{8}}}$
215287	Find the Parabola with Vertex (-4,0) and Directrix x=4	vertex (-4,0) directrix x=4	vertex $(- 4, 0)$ directrix $x = 4$
215288	Simplify	(m^(1/5)n^(-1/7))/(m^(-1/4)n^(2/7))	$\frac{m^{\frac{1}{5}} n^{- \frac{1}{7}}}{m^{- \frac{1}{4}} n^{\frac{2}{7}}}$
215289	Simplify	(3x^2y^-5)/( cube root of 64xy^3)	$\frac{3 x^{2} y^{- 5}}{\sqrt[3]{64 x y^{3}}}$
215290	Graph	d = square root of (x_2-x_1)^2+(y_2-y_1)^2	$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
215291	Simplify	(-10xy^2)(-2x^4y)^3	$(- 10 x y^{2}) {(- 2 x^{4} y)}^{3}$
215292	Simplify	((12p^2)/(7d^4))÷((6p^3)/(35d^2))	$\frac{12 p^{2}}{7 d^{4}} \div \frac{6 p^{3}}{35 d^{2}}$
215293	Solve the System of Equations	y=-x^2-3x+2 y=x+6	$y = - x^{2} - 3 x + 2$ $y = x + 6$
215294	Evaluate	(a^-7*b^-2)^-9	${(a^{- 7} \cdot b^{- 2})}^{- 9}$
215295	Find the Product	(x^22)(x^7)^3	$(x^{22}) {(x^{7})}^{3}$
215296	Solve the System of Equations	y-5=x x=-2-y	$y - 5 = x$ $x = - 2 - y$
215297	Find the x and y Intercepts	y=(x-2)^3(x+3)^2	$y = {(x - 2)}^{3} {(x + 3)}^{2}$
215298	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,-2) and has a slope of 4 ?	What is the equation of the line that passes through the point $(- 2, - 2)$ and has a slope of $4$ ?
215299	Solve the Inequality for x	2 square root of x+3<=8	$2 \sqrt{x + 3} \leq 8$
215300	Write in Standard Form	11t+2t^2-3+t^5	$11 t + 2 t^{2} - 3 + t^{5}$