Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
174201	Evaluate	square root of 6^2+8^2	$\sqrt{6^{2}} + 8^{2}$
174202	Write in Standard Form	5- square root of -12	$5 - \sqrt{- 12}$
174203	Simplify	(-5x^2-2x+5)-(-1+3x+x^2-x^3)	$(- 5 x^{2} - 2 x + 5) - (- 1 + 3 x + x^{2} - x^{3})$
174204	Multiply	(2x^2-7x-15)/(x^2-25)*(x^2+x)/(2x^2+5x+3)	$\frac{2 x^{2} - 7 x - 15}{x^{2} - 25} \cdot \frac{x^{2} + x}{2 x^{2} + 5 x + 3}$
174205	Simplify	(13+ square root of -180)(6+ square root of -180)	$(13 + \sqrt{- 180}) (6 + \sqrt{- 180})$
174206	Simplify	(10x^-3y^4z^2)/(5x^-4y^3)	$\frac{10 x^{- 3} y^{4} z^{2}}{5 x^{- 4} y^{3}}$
174207	Evaluate	f(x)=3^-3	$f (x) = 3^{- 3}$
174208	Evaluate	1(-4)-89/-3	$1 \cdot (- 4) - 8 \cdot \frac{9}{- 3}$
174209	Simplify	4 square root of 15(-3 square root of 6+5)	$4 \sqrt{15} (- 3 \sqrt{6} + 5)$
174210	Combine Like Terms	(4+3c^5)(4-3c^5)	$(4 + 3 c^{5}) (4 - 3 c^{5})$
174211	Simplify	(( square root of 2)/4-5/4i)^2	${(\frac{\sqrt{2}}{4} - \frac{5}{4} i)}^{2}$
174212	Simplify	(2x^3y^3)/(4y^2)	$\frac{2 x^{3} y^{3}}{4 y^{2}}$
174213	Evaluate	(8(1/2)-3)/(1/2)	$\frac{8 (\frac{1}{2}) - 3}{\frac{1}{2}}$
174214	Find the Roots (Zeros)	x^2+5x=-6	$x^{2} + 5 x = - 6$
174215	Solve for x	2-1/2x=3x+16	$2 - \frac{1}{2} x = 3 x + 16$
174216	Graph	y=(-x)^3-4	$y = {(- x)}^{3} - 4$
174217	Solve for k	-7k-4k=8-2k-8k	$- 7 k - 4 k = 8 - 2 k - 8 k$
174218	Find the Axis of Symmetry	f(x)=x^3+2x^2-x-2	$f (x) = x^{3} + 2 x^{2} - x - 2$
174219	Solve for a	n+2 = square root of a-n	$n + 2 = \sqrt{a - n}$
174220	Write in Standard Form	3y=20- square root of 2x	$3 y = 20 - \sqrt{2 x}$
174221	Simplify	(2x+3)/(x+1)+x/(x-1)	$\frac{2 x + 3}{x + 1} + \frac{x}{x - 1}$
174222	Solve for x	31/(3x+3)=1/6-2/(x+1)	$\frac{31}{3 x + 3} = \frac{1}{6} - \frac{2}{x + 1}$
174223	Divide	(1/9)÷(-1 1/3)	$\frac{1}{9} \div (- 1 \frac{1}{3})$
174224	Simplify	(-3(u^3c^-5)^-3)/(2u^-5c^9)	$\frac{- 3 {(u^{3} c^{- 5})}^{- 3}}{2 u^{- 5} c^{9}}$
174225	Find the Exact Value	(3^2)^3	${(3^{2})}^{3}$
174226	Simplify	(5(14-2)^2)/2	$\frac{5 {(14 - 2)}^{2}}{2}$
174227	Solve for m	9m^5=27m^3	$9 m^{5} = 27 m^{3}$
174228	Solve for x	2x+10+x-4=21	$2 x + 10 + x - 4 = 21$
174229	Convert to Scientific Notation	(4.73110^-7)÷5.710^3	$4.731 \times 10^{- 7} \div 5.7 \times 10^{3}$
174230	Divide	((49x^2-25)/(2x^2+x-21))÷((7x+5)/(4x-12))	$\frac{49 x^{2} - 25}{2 x^{2} + x - 21} \div \frac{7 x + 5}{4 x - 12}$
174231	Find the Inverse	y = square root of x^2-4	$y = \sqrt{x^{2} - 4}$
174232	Graph	x+2y	$x + 2 y$
174233	Find the Holes in the Graph	y=((x-3)(x-1))/((x-1)(x-5))	$y = \frac{(x - 3) (x - 1)}{(x - 1) (x - 5)}$
174234	Solve for x	natural log of x^2-5x+17=3x+2	$\ln (x^{2} - 5 x + 17) = 3 x + 2$
174235	Evaluate	x^2+y^2=25	$x^{2} + y^{2} = 25$
174236	Solve for θ	csc(theta)=-2	$\csc (θ) = - 2$
174237	Factor	3x^2+7/4x+1/8	$3 x^{2} + \frac{7}{4} x + \frac{1}{8}$
174238	Solve by Factoring	25x^2=20x-4	$25 x^{2} = 20 x - 4$
174239	Graph	(2,(2pi)/3)	$(2, \frac{2 π}{3})$
174240	Solve for h	-4(-5h-4)=2(10h+8)	$- 4 (- 5 h - 4) = 2 (10 h + 8)$
174241	Find the x and y Intercepts	R(x)=(x^2)/(x^2-x-6)	$R (x) = \frac{x^{2}}{x^{2} - x - 6}$
174242	Write in Standard Form	2x(x+1)=0	$2 x (x + 1) = 0$
174243	Simplify	(2x^2)-(-4x^2+x)	$(2 x^{2}) - (- 4 x^{2} + x)$
174244	Solve for y	4(4y-3)-(y-5)=-52	$4 (4 y - 3) - (y - 5) = - 52$
174245	Write in Standard Form	2x-5(x+3)=x(x-4)	$2 x - 5 (x + 3) = x (x - 4)$
174246	Multiply	(2x+6)/(5x+10)*(x+2)/(x^2+4x+3)	$\frac{2 x + 6}{5 x + 10} \cdot \frac{x + 2}{x^{2} + 4 x + 3}$
174247	Simplify	5a(-3b)(-2a^2b^3)	$5 a (- 3 b) (- 2 a^{2} b^{3})$
174248	Evaluate	(a+b)^2=a^2+b^2	${(a + b)}^{2} = a^{2} + b^{2}$
174249	Find All Complex Solutions	cos(2x)+cos(x)=0	$\cos (2 x) + \cos (x) = 0$
174250	Find the Roots (Zeros)	t^4-16t^3+86t^2-176t+105=0	$t^{4} - 16 t^{3} + 86 t^{2} - 176 t + 105 = 0$
174251	Solve the Inequality for x	x/-6-8<=-12	$\frac{x}{- 6} - 8 \leq - 12$
174252	Solve the Inequality for x	3/(x-4)<=-1	$\frac{3}{x - 4} \leq - 1$
174253	Find the Domain and Range	f^-1(x)=x^2	$f^{- 1} (x) = x^{2}$
174254	Solve the System of Inequalities	2x-6>=2 and 2x-6>14	$2 x - 6 \geq 2$ and $2 x - 6 > 14$
174255	Describe the Transformation	f(x-2)	$f (x - 2)$
174256	Evaluate	(-1/2)÷(-( square root of 3)/2)	$- \frac{1}{2} \div (- \frac{\sqrt{3}}{2})$
174257	Solve the System of Inequalities	2<-2x+4 and -2x+4>-14	$2 < - 2 x + 4$ and $- 2 x + 4 > - 14$
174258	Simplify	(4x^2+8x+15)+(x^2-x-27)-(x+5)(x-7)	$(4 x^{2} + 8 x + 15) + (x^{2} - x - 27) - (x + 5) (x - 7)$
174259	Find the Holes in the Graph	f(x)=(-3x+12)/(x^2-5x+4)	$f (x) = \frac{- 3 x + 12}{x^{2} - 5 x + 4}$
174260	Solve for f	D=1/4fk for f	$D = \frac{1}{4} f k$ for $f$
174261	Simplify	x^-1*x	$x^{- 1} \cdot x$
174262	Divide Using Synthetic Division	(2x^5-2x^3+4x^2-3)÷(x+1)	$(2 x^{5} - 2 x^{3} + 4 x^{2} - 3) \div (x + 1)$
174263	Graph	y=-2^(-x)-1	$y = - 2^{- x} - 1$
174264	Write in Standard Form	x=-2/7y+3/4	$x = - \frac{2}{7} y + \frac{3}{4}$
174265	Solve for x	x^2=a^2	$x^{2} = a^{2}$
174266	Solve the Inequality for x	x^2+6x<=-8	$x^{2} + 6 x \leq - 8$
174267	Solve the Rational Equation for x	(x-6)/(x^2-4x-12)+2/(x+2)=1/(x-6)	$\frac{x - 6}{x^{2} - 4 x - 12} + \frac{2}{x + 2} = \frac{1}{x - 6}$
174268	Solve for x	(x+7)^2-7=25	${(x + 7)}^{2} - 7 = 25$
174269	Solve for y	y=7-\|2\|	$y = 7 - \| 2 \|$
174270	Solve for θ	4sin(theta)^2-2=0	$4 \sin^{2} (θ) - 2 = 0$
174271	Simplify	-2/3(5/6x-3)	$\frac{- 2}{3} (\frac{5}{6} x - 3)$
174272	Simplify	(-x^2-x)/(4x)-(2x)/x	$\frac{- x^{2} - x}{4 x} - \frac{2 x}{x}$
174273	Simplify	1/4*2	$\frac{1}{4} \cdot 2$
174274	Evaluate	x^3*x^2	$x^{3} \cdot x^{2}$
174275	Evaluate	1/2(4^3-6*3^2)	$\frac{1}{2} (4^{3} - 6 \cdot 3^{2})$
174276	Find the GCF	9a^2b^4-16b^2c^6	$9 a^{2} b^{4} - 16 b^{2} c^{6}$
174277	Solve for a	F=ma for a	$F = m a$ for $a$
174278	Find the Roots (Zeros)	x(x-1)^2(x+2)=0	$x {(x - 1)}^{2} (x + 2) = 0$
174279	Solve for x	2x = square root of 20+2x	$2 x = \sqrt{20 + 2 x}$
174280	Graph	g(x)=f(x-2)+3	$g (x) = f (x - 2) + 3$
174281	Multiply	(a+b-c)(a+b+c)	$(a + b - c) (a + b + c)$
174282	Find the Holes in the Graph	f(x)=(x-2)/(x+1)	$f (x) = \frac{x - 2}{x + 1}$
174283	Solve for x	9x^2+25=-30x	$9 x^{2} + 25 = - 30 x$
174284	Solve for b	b-7/4=-2/3	$b - \frac{7}{4} = - \frac{2}{3}$
174285	Simplify	(-x^2-x)/(4x)+(2x)/x	$\frac{- x^{2} - x}{4 x} + \frac{2 x}{x}$
174286	Find the Domain and Range	y=2 cube root of x+6	$y = 2 \sqrt[3]{x + 6}$
174287	Divide	(-3 7/10)÷2 1/4	$- 3 \frac{7}{10} \div 2 \frac{1}{4}$
174288	Solve the System of Equations	-5x+3y+6z=4 -3x+y+5z=-5 -4x+2y+z=13	$- 5 x + 3 y + 6 z = 4$ $- 3 x + y + 5 z = - 5$ $- 4 x + 2 y + z = 13$
174289	Solve for p	2(8+p)=22	$2 (8 + p) = 22$
174290	Factor	16xy-3x-6x^2+8y	$16 x y - 3 x - 6 x^{2} + 8 y$
174291	Solve for d	5/8(16d+24)=6(d-1)+1	$\frac{5}{8} (16 d + 24) = 6 (d - 1) + 1$
174292	Solve for y	6(y+8)=3(2y-7)	$6 (y + 8) = 3 (2 y - 7)$
174293	Simplify	((3q)/(q-5))/((24q^2)/(q^2-25))	$\frac{\frac{3 q}{q - 5}}{\frac{24 q^{2}}{q^{2} - 25}}$
174294	Find the Roots (Zeros)	(x-2)(x+2)(x-4)=0	$(x - 2) (x + 2) (x - 4) = 0$
174295	Graph	f(x)=-5x^2(3x+2)(x-5)	$f (x) = - 5 x^{2} (3 x + 2) (x - 5)$
174296	Simplify	limit as x approaches 1 of (x^3-1)/(x-1)	$lim_{x \to 1} \frac{x^{3} - 1}{x - 1}$
174297	Solve for n	3(n+6)>=3n+8	$3 (n + 6) \geq 3 n + 8$
174298	Simplify	7m^2+(2m-1)(m+9)	$7 m^{2} + (2 m - 1) (m + 9)$
174299	Find All Complex Solutions	2cos(x)^2-3cos(x)=-1	$2 \cos^{2} (x) - 3 \cos (x) = - 1$
174300	Solve the System of Inequalities	34<3x+7 and 3x+7<=43	$34 < 3 x + 7$ and $3 x + 7 \leq 43$