Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
60301	Determine if the Expression is a Perfect Square	16x^2+56xy-49y^2	$16 x^{2} + 56 x y - 49 y^{2}$
60302	Simplify	((2x^2)/y)^-4	${(\frac{2 x^{2}}{y})}^{- 4}$
60303	Determine if the Expression is a Perfect Square	27n^27	$27 n^{27}$
60304	Simplify	(4/x)^2	${(\frac{4}{x})}^{2}$
60305	Determine if the Expression is a Perfect Square	64-16w+w^2	$64 - 16 w + w^{2}$
60306	Simplify	(4^0w^2)^-5	${(4^{0} w^{2})}^{- 5}$
60307	Simplify	((5x^-2)/(6y^-2))^-3	${(\frac{5 x^{- 2}}{6 y^{- 2}})}^{- 3}$
60308	Simplify	(a^2b^2)^(1/3)	${(a^{2} b^{2})}^{\frac{1}{3}}$
60309	Determine if the Expression is a Perfect Square	36b^2-24b+16	$36 b^{2} - 24 b + 16$
60310	Simplify	(6/(7c))^2	${(\frac{6}{7 c})}^{2}$
60311	Determine if the Expression is a Perfect Square	h^2+12h+144	$h^{2} + 12 h + 144$
60312	Simplify	(-2a^-2)^3(-5a^-3)^2	${(- 2 a^{- 2})}^{3} {(- 5 a^{- 3})}^{2}$
60313	Determine if the Expression is a Perfect Square	h^2+12h-36	$h^{2} + 12 h - 36$
60314	Simplify	(2x^(1/4))^4	${(2 x^{\frac{1}{4}})}^{4}$
60315	Determine if the Expression is a Perfect Square	a^2-22a+121	$a^{2} - 22 a + 121$
60316	Simplify	(2y^2)^3	${(2 y^{2})}^{3}$
60317	Determine if the Expression is a Perfect Square	s^2+3/4s+9/64	$s^{2} + \frac{3}{4} s + \frac{9}{64}$
60318	Simplify	(-2x^3)^3	${(- 2 x^{3})}^{3}$
60319	Determine if the Expression is a Perfect Square	n^2-9n+9	$n^{2} - 9 n + 9$
60320	Determine if the Expression is a Perfect Square	x^2-50x+100	$x^{2} - 50 x + 100$
60321	Solve for x	square root of x-3+5=x	$\sqrt{x - 3} + 5 = x$
60322	Simplify	(t^2-4t-32)/(t-8)	$\frac{t^{2} - 4 t - 32}{t - 8}$
60323	Simplify	square root of 0.01	$\sqrt{0.01}$
60324	Determine if the Expression is a Perfect Square	x^2+9x+9/2	$x^{2} + 9 x + \frac{9}{2}$
60325	Simplify	(3xy)/(xy+x)	$\frac{3 x y}{x y + x}$
60326	Solve for x	x^2-15x+54=0	$x^{2} - 15 x + 54 = 0$
60327	Find the Roots/Zeros Using the Rational Roots Test	x^3+9x^2-13x-21	$x^{3} + 9 x^{2} - 13 x - 21$
60328	Factor	8x^2+10x-8	$8 x^{2} + 10 x - 8$
60329	Find the Roots/Zeros Using the Rational Roots Test	x^3+8x^2-84x-91	$x^{3} + 8 x^{2} - 84 x - 91$
60330	Factor	5k^2-35k^3	$5 k^{2} - 35 k^{3}$
60331	Find the Roots/Zeros Using the Rational Roots Test	x^3-11x^2+38x-40	$x^{3} - 11 x^{2} + 38 x - 40$
60332	Solve for x	x^2-144=0	$x^{2} - 144 = 0$
60333	Find the Roots/Zeros Using the Rational Roots Test	x^3-10x^2+4x-24	$x^{3} - 10 x^{2} + 4 x - 24$
60334	Simplify	15 square root of 2	$15 \sqrt{2}$
60335	Solve for x	x^2-8=0	$x^{2} - 8 = 0$
60336	Find the Roots/Zeros Using the Rational Roots Test	x^3+7x^2-2x-14	$x^{3} + 7 x^{2} - 2 x - 14$
60337	Solve for x	x^2-6x-5=0	$x^{2} - 6 x - 5 = 0$
60338	Solve for x	x^2+8x+6=0	$x^{2} + 8 x + 6 = 0$
60339	Solve for x	x^2+7x-18=0	$x^{2} + 7 x - 18 = 0$
60340	Solve for x	x^2+7x-5=0	$x^{2} + 7 x - 5 = 0$
60341	Find the Roots/Zeros Using the Rational Roots Test	x^4+4x^3-7x^2-8x+10	$x^{4} + 4 x^{3} - 7 x^{2} - 8 x + 10$
60342	Simplify	square root of 25x+4 square root of x	$\sqrt{25 x} + 4 \sqrt{x}$
60343	Solve for x	x^2+3x-3=0	$x^{2} + 3 x - 3 = 0$
60344	Find the Roots/Zeros Using the Rational Roots Test	x^4+2x^3-3x^2-4x-12	$x^{4} + 2 x^{3} - 3 x^{2} - 4 x - 12$
60345	Find the Roots/Zeros Using the Rational Roots Test	x^4-7x^3-12x^2+176x-320	$x^{4} - 7 x^{3} - 12 x^{2} + 176 x - 320$
60346	Simplify	(ab-9)(ab+8)	$(a b - 9) (a b + 8)$
60347	Find the Roots/Zeros Using the Rational Roots Test	x^4-6x^3-92x^2-207x-110	$x^{4} - 6 x^{3} - 92 x^{2} - 207 x - 110$
60348	Simplify	(x^2-9x)/(x^2-7x-18)	$\frac{x^{2} - 9 x}{x^{2} - 7 x - 18}$
60349	Find the Roots/Zeros Using the Rational Roots Test	x^4-6x^3+50x^2+122x+65	$x^{4} - 6 x^{3} + 50 x^{2} + 122 x + 65$
60350	Solve for x	36x^2-25=0	$36 x^{2} - 25 = 0$
60351	Solve for x	3x^2=48	$3 x^{2} = 48$
60352	Find the Roots/Zeros Using the Rational Roots Test	x^4-5x^3-100x^2-283x-165	$x^{4} - 5 x^{3} - 100 x^{2} - 283 x - 165$
60353	Solve for x	3x^2-27=0	$3 x^{2} - 27 = 0$
60354	Solve for x	(c-1)/x+d=cd	$\frac{c - 1}{x} + d = c d$
60355	Find the Roots/Zeros Using the Rational Roots Test	x^3+5x^2-11x-55	$x^{3} + 5 x^{2} - 11 x - 55$
60356	Find the Roots/Zeros Using the Rational Roots Test	x^3+10x^2-25x-250	$x^{3} + 10 x^{2} - 25 x - 250$
60357	Solve for x	2/3x-2=7	$\frac{2}{3} x - 2 = 7$
60358	Find the Roots/Zeros Using the Rational Roots Test	7x^4-58x^3+60x^2+250x+125	$7 x^{4} - 58 x^{3} + 60 x^{2} + 250 x + 125$
60359	Find the Roots/Zeros Using the Rational Roots Test	9x^4-48x^3+46x^2+48x+9	$9 x^{4} - 48 x^{3} + 46 x^{2} + 48 x + 9$
60360	Find the Roots/Zeros Using the Rational Roots Test	9x^4+48x^3+46x^2-48x+9	$9 x^{4} + 48 x^{3} + 46 x^{2} - 48 x + 9$
60361	Solve for x	2x^2+2x=12	$2 x^{2} + 2 x = 12$
60362	Find the Roots/Zeros Using the Rational Roots Test	4x^3-16x^2+9x+9	$4 x^{3} - 16 x^{2} + 9 x + 9$
60363	Solve for x	2x^(2/3)+7x^(1/3)-15=0	$2 x^{\frac{2}{3}} + 7 x^{\frac{1}{3}} - 15 = 0$
60364	Find the Roots/Zeros Using the Rational Roots Test	54x^3+63x^2-39x-18	$54 x^{3} + 63 x^{2} - 39 x - 18$
60365	Solve for x	4x^2+12x+9=0	$4 x^{2} + 12 x + 9 = 0$
60366	Find the Roots/Zeros Using the Rational Roots Test	6x^3-41x^2-8x+7	$6 x^{3} - 41 x^{2} - 8 x + 7$
60367	Solve for x	4x^2+12x=0	$4 x^{2} + 12 x = 0$
60368	Find the Roots (Zeros)	y=x^2+3x-10	$y = x^{2} + 3 x - 10$
60369	Convert to Interval Notation	x^2+4x<45	$x^{2} + 4 x < 45$
60370	Expand the Logarithmic Expression	log of (1/9)/k	$\log (\frac{\frac{1}{9}}{k})$
60371	Find the Roots/Zeros Using the Rational Roots Test	(x^3-15x^2+68x-96)÷(x-3)	$(x^{3} - 15 x^{2} + 68 x - 96) \div (x - 3)$
60372	Write in Exponential Form	natural log of x=4	$\ln (x) = 4$
60373	Evaluate	log of 1.3	$\log (1.3)$
60374	Solve for x	8-2x=-8x+14	$8 - 2 x = - 8 x + 14$
60375	Solve for p	pi/(2pi+1)-(2pi^2+5)/(2pi^2-7pi-4)=-5/(pi-4)	$\frac{π}{2 π + 1} - \frac{2 π^{2} + 5}{2 π^{2} - 7 π - 4} = - \frac{5}{π - 4}$
60376	Find the Roots/Zeros Using the Rational Roots Test	15x^23+41x^19+13x^5-10	$15 x^{23} + 41 x^{19} + 13 x^{5} - 10$
60377	Solve for p	2/5+p=4/5+3/5p	$\frac{2}{5} + p = \frac{4}{5} + \frac{3}{5} p$
60378	Find the Roots/Zeros Using the Rational Roots Test	2x^4-5x^3-4x^2+15x-6	$2 x^{4} - 5 x^{3} - 4 x^{2} + 15 x - 6$
60379	Solve for x	(5x)/7+5=30	$\frac{5 x}{7} + 5 = 30$
60380	Solve for x	square root of x<=0	$\sqrt{x} \leq 0$
60381	Find the Roots/Zeros Using the Rational Roots Test	2x^3-5x^2-5x-1	$2 x^{3} - 5 x^{2} - 5 x - 1$
60382	Solve for x	square root of x>-14	$\sqrt{x} > - 14$
60383	Find the Inverse	f(x)=x	$f (x) = x$
60384	Factor	10x-3-3x^2	$10 x - 3 - 3 x^{2}$
60385	Find the Roots/Zeros Using the Rational Roots Test	2x^3-4x^2-14x+28	$2 x^{3} - 4 x^{2} - 14 x + 28$
60386	Factor	x^2+xy-2x-2y	$x^{2} + x y - 2 x - 2 y$
60387	Calculate the Square Root	square root of 226	$\sqrt{226}$
60388	Divide	((a-3)/7)÷((3-a)/21)	$\frac{a - 3}{7} \div \frac{3 - a}{21}$
60389	Find the Roots/Zeros Using the Rational Roots Test	3x^5+17x^4+30x^3+18x^2-x-3	$3 x^{5} + 17 x^{4} + 30 x^{3} + 18 x^{2} - x - 3$
60390	Graph	f(x)=-\|x\|	$f (x) = - \| x \|$
60391	Solve for y	2y^2+10y=-9	$2 y^{2} + 10 y = - 9$
60392	Solve for x	3(95-6x)=x-152	$3 (95 - 6 x) = x - 152$
60393	Find the Roots/Zeros Using the Rational Roots Test	3x^4-2x^3-21x^2-4x+12	$3 x^{4} - 2 x^{3} - 21 x^{2} - 4 x + 12$
60394	Find the Roots/Zeros Using the Rational Roots Test	3x^3+8x^2-7x-12	$3 x^{3} + 8 x^{2} - 7 x - 12$
60395	Multiply	333	$3 \cdot 3 \cdot 3$
60396	Factor	75t^2+12	$75 t^{2} + 12$
60397	Factor	30p^4q^3r+42p^2r-18p^2q^2r	$30 p^{4} q^{3} r + 42 p^{2} r - 18 p^{2} q^{2} r$
60398	Factor	16p^4-24p^3	$16 p^{4} - 24 p^{3}$
60399	Find the Properties	(x^2)/64+((y-3)^2)/121=1	$\frac{x^{2}}{64} + \frac{{(y - 3)}^{2}}{121} = 1$
60400	Solve for x	y=1/2x-2	$y = \frac{1}{2} x - 2$