Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
167201	Solve the System of Equations	3x-2y=-9 4x+3y=22	$3 x - 2 y = - 9$ $4 x + 3 y = 22$
167202	Divide	-2÷8	$- 2 \div 8$
167203	Find the Exact Value	cos(arctan(- square root of 3))	$\cos (\arctan (- \sqrt{3}))$
167204	Solve for x	4x+2x-5=7x-1	$4 x + 2 x - 5 = 7 x - 1$
167205	Solve for k	\|6-2k\|=18	$\| 6 - 2 k \| = 18$
167206	Simplify	6x^-1y^5*4x^-4y^-2	$6 x^{- 1} y^{5} \cdot 4 x^{- 4} y^{- 2}$
167207	Simplify	(sin(t))/(1-cos(t))-csc(t)	$\frac{\sin (t)}{1 - \cos (t)} - \csc (t)$
167208	Find the Domain and Range	f^-1(x)=(x-1)/2	$f^{- 1} (x) = \frac{x - 1}{2}$
167209	Solve for z	3z+w=p	$3 z + w = p$
167210	Graph	x>=0 , y>=0	$x \geq 0$ , $y \geq 0$
167211	Evaluate	(6!)/((6-5)!5!)	$\frac{6!}{(6 - 5)! 5!}$
167212	Graph Using a Table of Values	y = log base 4 of x	$y = \log_{4} (x)$
167213	Simplify	((3xy^2)/(4y))÷((2x^2)/(3y))	$\frac{3 x y^{2}}{4 y} \div \frac{2 x^{2}}{3 y}$
167214	Write in Standard Form	2x^2-13=x	$2 x^{2} - 13 = x$
167215	Write in Standard Form	-(4-i square root of 2)/12	$- \frac{4 - i \sqrt{2}}{12}$
167216	Solve for a	x/( square root of x^5)=x^a	$\frac{x}{\sqrt{x^{5}}} = x^{a}$
167217	Solve for s	3/8=(s-2)/24	$\frac{3}{8} = \frac{s - 2}{24}$
167218	Simplify	-2/3(12c-9)+14c	$- \frac{2}{3} (12 c - 9) + 14 c$
167219	Solve for b	\|14-b\|=17	$\| 14 - b \| = 17$
167220	Find the Exact Value	tan(0pi)	$\tan (0 π)$
167221	Simplify	5x+3y+5+4x+3y+y+8	$5 x + 3 y + 5 + 4 x + 3 y + y + 8$
167222	Solve for x	(5x-7)^(1/3)+3=5	${(5 x - 7)}^{\frac{1}{3}} + 3 = 5$
167223	Evaluate	(6^-4*8^-7)^-9	${(6^{- 4} \cdot 8^{- 7})}^{- 9}$
167224	Find the Roots (Zeros)	f(x)=(x^2-9x+14)/(4x)	$f (x) = \frac{x^{2} - 9 x + 14}{4 x}$
167225	Simplify	4a+5a^2+2a^2+a^2	$4 a + 5 a^{2} + 2 a^{2} + a^{2}$
167226	Solve the Inequality for x	2(5-2x)<=4-3x	$2 (5 - 2 x) \leq 4 - 3 x$
167227	Simplify	((3b^-3)^3)/(2b^9)	$\frac{{(3 b^{- 3})}^{3}}{2 b^{9}}$
167228	Solve for θ	sin(theta)+cos(theta)=0	$\sin (θ) + \cos (θ) = 0$
167229	Solve for y	25=\|-5y+5\|	$25 = \| - 5 y + 5 \|$
167230	Solve for x	-4/(x+3)+1=(2x)/(x+3)	$- \frac{4}{x + 3} + 1 = \frac{2 x}{x + 3}$
167231	Graph	(x)=x^3	$(x) = x^{3}$
167232	Combine Like Terms	8d-4-d-2	$8 d - 4 - d - 2$
167233	Solve for x	y=2 square root of x	$y = 2 \sqrt{x}$
167234	Simplify	(2(a^2)^3)/(-10a^-8)	$\frac{2 {(a^{2})}^{3}}{- 10 a^{- 8}}$
167235	Solve the Inequality for x	16>=-x+6>5	$16 \geq - x + 6 > 5$
167236	Simplify	(x^(3/2))/(x^(1/2))	$\frac{x^{\frac{3}{2}}}{x^{\frac{1}{2}}}$
167237	Solve for x	3^(4x+5)=81^(-3/4)	$3^{4 x + 5} = 81^{- \frac{3}{4}}$
167238	Find the Holes in the Graph	((x+4)(x-1)(x-2))/((x-2)^2(x+4)(x+1))	$\frac{(x + 4) (x - 1) (x - 2)}{{(x - 2)}^{2} (x + 4) (x + 1)}$
167239	Solve the Absolute Value Inequality for x	\|2x-4\|>8	$\| 2 x - 4 \| > 8$
167240	Solve for x	\|4x+3\|+9=2x	$\| 4 x + 3 \| + 9 = 2 x$
167241	Factor	6x(3x-1)^2+2x^2(1-3x)^2	$6 x {(3 x - 1)}^{2} + 2 x^{2} {(1 - 3 x)}^{2}$
167242	Find the Exact Value	(3/5)^2	${(\frac{3}{5})}^{2}$
167243	Solve for p	10=43-\|7p+12\|	$10 = 43 - \| 7 p + 12 \|$
167244	Convert to Polar	x^2=4y	$x^{2} = 4 y$
167245	Solve for x	3/7=1/2-1/2x	$\frac{3}{7} = \frac{1}{2} - \frac{1}{2} x$
167246	Solve for x	\|x-2\|>=5	$\| x - 2 \| \geq 5$
167247	Simplify the Radical Expression	(2^(1/2)*2^(3/4))^2	${(2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}})}^{2}$
167248	Solve for x	0=1/3x^2-3	$0 = \frac{1}{3} x^{2} - 3$
167249	Combine Like Terms	3y+3y+5+7x^3-y-6-7x^3	$3 y + 3 y + 5 + 7 x^{3} - y - 6 - 7 x^{3}$
167250	Solve for t	k(t)=13t-2	$k (t) = 13 t - 2$
167251	Solve for f	3/4f=2+1/2f-7/8-f	$\frac{3}{4} f = 2 + \frac{1}{2} f - \frac{7}{8} - f$
167252	Graph	y<=x^2+5x	$y \leq x^{2} + 5 x$
167253	Solve the Inequality for x	3x<9	$3 x < 9$
167254	Solve for z	z^3-z^2-12z=0	$z^{3} - z^{2} - 12 z = 0$
167255	Simplify	(-10-7i)/(2-i)	$\frac{- 10 - 7 i}{2 - i}$
167256	Solve the Inequality for x	(x-4)(x+1)<0	$(x - 4) (x + 1) < 0$
167257	Solve by Completing the Square	x^2-6=2-18x	$x^{2} - 6 = 2 - 18 x$
167258	Solve for x	x^4=0	$x^{4} = 0$
167259	Simplify	(20z^10)/((5z^-2)^3)	$\frac{20 z^{10}}{{(5 z^{- 2})}^{3}}$
167260	Simplify	-3 square root of 5- square root of 6- square root of 5	$- 3 \sqrt{5} - \sqrt{6} - \sqrt{5}$
167261	Solve for a	1.4=-a/0.6+3.4	$1.4 = - \frac{a}{0.6} + 3.4$
167262	Convert to Polar	(x-2)^2+y^2=4	${(x - 2)}^{2} + y^{2} = 4$
167263	Solve for x	-6+x/(x-6)=1/(x-6)	$- 6 + \frac{x}{x - 6} = \frac{1}{x - 6}$
167264	Solve for x	x^6=64	$x^{6} = 64$
167265	Write in Standard Form	(3x-4)(x+7)-1/4x^2	$(3 x - 4) (x + 7) - \frac{1}{4} x^{2}$
167266	Solve the Inequality for x	(2x-1)/x>0	$\frac{2 x - 1}{x} > 0$
167267	Graph Using a Table of Values	f(x)=3^x+1	$f (x) = 3^{x} + 1$
167268	Solve for C	C=5/9(77-32)	$C = \frac{5}{9} (77 - 32)$
167269	Subtract	8/3-6/4	$\frac{8}{3} - \frac{6}{4}$
167270	Simplify	10/(x^2+3x)+15/(x^2)	$\frac{10}{x^{2} + 3 x} + \frac{15}{x^{2}}$
167271	Solve for x	1/(4x)-3/4=7/x	$\frac{1}{4 x} - \frac{3}{4} = \frac{7}{x}$
167272	Find the Roots (Zeros)	x^4+2x^3-13x^2-14x+24=0	$x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24 = 0$
167273	Graph	4pi	$4 π$
167274	Graph	5-y=-3x	$5 - y = - 3 x$
167275	Solve for x	x-9=2(x-3)+12	$x - 9 = 2 (x - 3) + 12$
167276	Simplify	1/2*3	$\frac{1}{2} \cdot 3$
167277	Solve for θ	tan(theta)^2=3	$\tan^{2} (θ) = 3$
167278	Graph	b^2-4ac>0	$b^{2} - 4 a c > 0$
167279	Simplify	(-9 square root of -42)(5 square root of -6)	$(- 9 \sqrt{- 42}) (5 \sqrt{- 6})$
167280	Simplify	square root of 6*4 square root of 6	$\sqrt{6} \cdot 4 \sqrt{6}$
167281	Find the Domain and Range	f^-1(x)=x^2-3	$f^{- 1} (x) = x^{2} - 3$
167282	Find All Complex Solutions	x^3+x^2+x+1=0	$x^{3} + x^{2} + x + 1 = 0$
167283	Solve for x	square root of 3x+3-1=x	$\sqrt{3 x + 3} - 1 = x$
167284	Solve the Inequality for b	-4<b/2+9	$- 4 < \frac{b}{2} + 9$
167285	Evaluate	(x+3)(x-2)	$(x + 3) (x - 2)$
167286	Graph	sin(theta)<0 and cos(theta)<0	$\sin (θ) < 0$ and $\cos (θ) < 0$
167287	Find the Exact Value	sin(arccos(x))	$\sin (\arccos (x))$
167288	Graph	y=-1/5csc(x+pi/2)	$y = - \frac{1}{5} \csc (x + \frac{π}{2})$
167289	Subtract	-7x^2+1 from -2x^2-4x	$- 7 x^{2} + 1$ from $- 2 x^{2} - 4 x$
167290	Graph	x^3-x^2	$x^{3} - x^{2}$
167291	Graph Using a Table of Values	f(x)=3/2(2)^x	$f (x) = \frac{3}{2} {(2)}^{x}$
167292	Solve for r	s=r-rr	$s = r - r \cdot r$
167293	Find the Product	(a+3)^2	${(a + 3)}^{2}$
167294	Solve for x	(-6x+6)/(x-7)+1/(x-1)=-8/(x^2-8x+7)	$\frac{- 6 x + 6}{x - 7} + \frac{1}{x - 1} = - \frac{8}{x^{2} - 8 x + 7}$
167295	Multiply	(2x)(x)	$(2 x) (x)$
167296	Subtract	5/2-3/2	$\frac{5}{2} - \frac{3}{2}$
167297	Simplify	(3-i)/(4+2i)	$\frac{3 - i}{4 + 2 i}$
167298	Find the Exact Value	sin((7pi)/12)cos(pi/12)-cos((7pi)/12)sin(pi/12)	$\sin (\frac{7 π}{12}) \cos (\frac{π}{12}) - \cos (\frac{7 π}{12}) \sin (\frac{π}{12})$
167299	Factor	-6a^3+10a^2-24a+40	$- 6 a^{3} + 10 a^{2} - 24 a + 40$
167300	Graph	y=1/2cos(x+pi/3)	$y = \frac{1}{2} \cos (x + \frac{π}{3})$