5 + 528*r + 2638/5 = 0.
-1319, -1
Solve j**4/8 + j**3/4 - 7*j**2/2 + 23*j/4 - 21/8 = 0.
-7, 1, 3
Suppose s**4/7 - 3*s**3/7 - 13*s**2/7 + 51*s/7 - 36/7 = 0. Calculate s.
-4, 1, 3
Determine h, given that -4*h**2/7 - 24*h/7 - 32/7 = 0.
-4, -2
Factor p**5/6 + p**4/2 - 17*p**3/3 + 8*p**2.
p**2*(p - 3)*(p - 2)*(p + 8)/6
Let -2*b**3 + 244*b**2 - 1402*b + 1160 = 0. Calculate b.
1, 5, 116
Factor -4*b**2/5 - 256*b/5 - 4096/5.
-4*(b + 32)**2/5
Suppose 7*x**5/4 + 32*x**4 + 603*x**3/4 + 81*x**2/2 = 0. What is x?
-9, -2/7, 0
Suppose -3*a**5/5 - 6*a**4/5 + 6*a**2/5 + 3*a/5 = 0. What is a?
-1, 0, 1
Factor -2*k**3/5 + 158*k**2/5 - 608*k - 640.
-2*(k - 40)**2*(k + 1)/5
Solve 76*m**2 + 616*m + 64 = 0 for m.
-8, -2/19
Factor z**3/4 + 3*z**2/2 + 3*z + 2.
(z + 2)**3/4
Let j**4 - 3*j**3 + 3*j**2 - j = 0. What is j?
0, 1
Factor 5*g**2 + 6890*g + 2373605.
5*(g + 689)**2
Let -5*t**4 + 115*t**3 - 590*t**2 - 960*t + 1440 = 0. What is t?
-2, 1, 12
What is j in -2*j**4 + 12*j**3 - 18*j**2 + 8*j = 0?
0, 1, 4
Find h such that h**4 + 602*h**3 + 90601*h**2 = 0.
-301, 0
Factor 5*s**3/11 + 133*s**2/11 - 2394*s/11 + 936/11.
(s - 12)*(s + 39)*(5*s - 2)/11
Let 4*l**5/5 + 46*l**4/5 + 126*l**3/5 + 116*l**2/5 + 32*l/5 = 0. Calculate l.
-8, -2, -1, -1/2, 0
What is f in 5*f**4 + 60*f**3 - 210*f**2 + 220*f - 75 = 0?
-15, 1
Let -3*g**2 + 1995*g + 12078 = 0. Calculate g.
-6, 671
Factor y**2/8 - 3*y/2 + 27/8.
(y - 9)*(y - 3)/8
Find q, given that -22*q**4/7 + 612*q**3/7 + 16*q**2 = 0.
-2/11, 0, 28
Factor q**3 + q**2 - 17*q + 15.
(q - 3)*(q - 1)*(q + 5)
Factor -z**2/9 + 112*z/9 + 417.
-(z - 139)*(z + 27)/9
Factor -2*j**2/3 - 10*j/3 - 8/3.
-2*(j + 1)*(j + 4)/3
Let -5*b**2 + 75*b + 80 = 0. What is b?
-1, 16
Determine m, given that 3*m**3/2 - 27*m**2/2 - 72*m - 78 = 0.
-2, 13
Factor 2*r**3/3 - 2*r**2/3 - 4*r/3.
2*r*(r - 2)*(r + 1)/3
Solve -4*k**3 - 80*k**2 + 372*k - 288 = 0.
-24, 1, 3
Factor 2*d**3/5 + 12*d**2/5 + 18*d/5 + 8/5.
2*(d + 1)**2*(d + 4)/5
Factor t**5/8 + t**4/2 + t**3/8 - 3*t**2/4.
t**2*(t - 1)*(t + 2)*(t + 3)/8
Factor -2*w**3/7 - 50*w**2 + 706*w/7 - 354/7.
-2*(w - 1)**2*(w + 177)/7
Find q, given that -5*q**2 + 5585*q = 0.
0, 1117
Factor 5*r**2 + 3640*r + 662480.
5*(r + 364)**2
Solve 5*w**3 + 15*w**2 - 5*w - 15 = 0.
-3, -1, 1
Factor -s**3 + 9*s**2 - 27*s + 27.
-(s - 3)**3
Factor -5*m**4 + 115*m**3 - 405*m**2 + 485*m - 190.
-5*(m - 19)*(m - 2)*(m - 1)**2
Determine f, given that -8*f**3 - 28*f**2 - 16*f + 16 = 0.
-2, 1/2
Solve 4*a**3 + 48*a**2 - 172*a + 120 = 0.
-15, 1, 2
Determine p so that 5*p**2 - 550*p + 15125 = 0.
55
Let k**5/4 - 35*k**4/4 - 9*k**3 = 0. What is k?
-1, 0, 36
Factor f**3 + 183*f**2 + 4251*f + 26533.
(f + 13)**2*(f + 157)
Determine b, given that 55*b**4 + 20*b**3 - 220*b**2 - 80*b = 0.
-2, -4/11, 0, 2
Factor o**2/10 + 11*o/10.
o*(o + 11)/10
Factor -2*x**3/7 - 32*x**2/7 + 96*x.
-2*x*(x - 12)*(x + 28)/7
Factor 9*r**2 - 906*r + 600.
3*(r - 100)*(3*r - 2)
Find l such that 3*l**2 + 330*l - 672 = 0.
-112, 2
Determine y so that 4*y**4/3 + 12*y**3 - 92*y**2/3 - 12*y + 88/3 = 0.
-11, -1, 1, 2
Factor 5*i**4 - 350*i**3 + 1345*i**2 - 1660*i + 660.
5*(i - 66)*(i - 2)*(i - 1)**2
Factor -3*j**2/2 + 63*j/2.
-3*j*(j - 21)/2
Factor 3*r**2/2 + 12*r + 18.
3*(r + 2)*(r + 6)/2
Let 5*i**4 + 103*i**3 - 47*i**2 - 103*i + 42 = 0. Calculate i.
-21, -1, 2/5, 1
Factor 5*p**2/3 + 850*p/3 + 36125/3.
5*(p + 85)**2/3
Factor -9*q**3 + 1590*q**2 + 3753*q + 1074.
-3*(q - 179)*(q + 2)*(3*q + 1)
Factor -w**2/6 + 71*w - 425/6.
-(w - 425)*(w - 1)/6
Determine x so that 2*x**5 + 6*x**4 - 14*x**3 - 54*x**2 - 36*x = 0.
-3, -2, -1, 0, 3
Let -p**4/4 + 160*p**3 - 38400*p**2 + 4096000*p - 163840000 = 0. Calculate p.
160
Suppose -c**3/4 - 113*c**2/4 + 173*c/2 - 58 = 0. What is c?
-116, 1, 2
Determine b, given that 5*b**3 + 40*b**2 + 60*b = 0.
-6, -2, 0
Suppose -4*b**4 - 8*b**3 + 144*b**2 - 352*b + 256 = 0. Calculate b.
-8, 2
Factor -f**2 - 1794*f - 1793.
-(f + 1)*(f + 1793)
Solve -2*x**3/11 - 34*x**2/11 - 126*x/11 + 162/11 = 0 for x.
-9, 1
Suppose -5*t**2 - 130*t = 0. What is t?
-26, 0
Factor -2*x**3 + 26*x**2 - 60*x.
-2*x*(x - 10)*(x - 3)
Factor -4*z**2/3 + 128*z/3 - 208.
-4*(z - 26)*(z - 6)/3
Factor 2*f**5/11 + 908*f**4/11 + 103962*f**3/11 + 205208*f**2/11 + 102152*f/11.
2*f*(f + 1)**2*(f + 226)**2/11
Factor -y**2/7 + 72*y/7 - 1296/7.
-(y - 36)**2/7
Factor -p**2 - 4*p.
-p*(p + 4)
Determine y so that -4*y**5/7 + 52*y**4/7 - 188*y**3/7 + 92*y**2/7 + 192*y/7 - 144/7 = 0.
-1, 1, 6
Factor -3*r**3 - 1905*r**2 - 303369*r - 301467.
-3*(r + 1)*(r + 317)**2
Factor -20*r**2 + 2904*r - 580.
-4*(r - 145)*(5*r - 1)
Find k, given that k**2 + 35*k + 34 = 0.
-34, -1
Factor 2*g**2/5 - 84*g + 1242/5.
2*(g - 207)*(g - 3)/5
What is w in -12*w**3 - 4*w**2 + 12*w + 4 = 0?
-1, -1/3, 1
Let -2*v**4 + 4*v**3 = 0. Calculate v.
0, 2
Determine p so that 2*p**5 - 10*p**4 + 18*p**3 - 14*p**2 + 4*p = 0.
0, 1, 2
Factor -2*a**3/5 + 212*a**2/5 + 86*a + 216/5.
-2*(a - 108)*(a + 1)**2/5
Solve -2*k**5 + 22*k**4 - 34*k**3 - 22*k**2 + 36*k = 0.
-1, 0, 1, 2, 9
Find l such that -2*l**4 - 58*l**3 - 600*l**2 - 2600*l - 4000 = 0.
-10, -5, -4
Factor 12*a**3 + 3560*a**2 + 9424*a + 4704.
4*(a + 2)*(a + 294)*(3*a + 2)
Solve 44*m**4 - 140*m**3 - 416*m**2 + 80*m = 0 for m.
-2, 0, 2/11, 5
Factor 4*m**2 - 592*m + 21904.
4*(m - 74)**2
Determine a, given that 8*a**4/19 + 54*a**3/19 - 22*a**2/19 - 54*a/19 + 14/19 = 0.
-7, -1, 1/4, 1
Let 2*l**2/9 - 32*l/9 - 34/9 = 0. What is l?
-1, 17
Solve -2*x**3/3 - 50*x**2/9 - 4*x/3 + 32/9 = 0 for x.
-8, -1, 2/3
Find m such that 5*m**4 + 235*m**3 + 675*m**2 + 665*m + 220 = 0.
-44, -1
Find k, given that -k**4/4 + 7*k**3 - 81*k**2/2 - 135*k + 675/4 = 0.
-3, 1, 15
Factor 4*u**3 + 188*u**2 - 392*u.
4*u*(u - 2)*(u + 49)
Determine s so that -s**3/5 - 43*s**2 + s/5 + 43 = 0.
-215, -1, 1
What is a in -a**3/7 + 83*a**2/7 + 104*a = 0?
-8, 0, 91
Suppose 3*y**5 + 27*y**4 - 336*y**3 + 1128*y**2 - 1584*y + 816 = 0. What is y?
-17, 2
Determine u so that -u**3 + 342*u**2 - 681*u + 340 = 0.
1, 340
Suppose 5*s**5/4 - 33*s**4/4 + 33*s**3/2 - 7*s**2 - 6*s = 0. Calculate s.
-2/5, 0, 2, 3
Factor u**2/4 + 79*u/2 + 157/4.
(u + 1)*(u + 157)/4
Find y, given that 2*y**4/5 - 16*y**2/5 + 32/5 = 0.
-2, 2
Determine f so that -2*f**5 - 56*f**4 - 386*f**3 + 164*f**2 + 1064*f - 784 = 0.
-14, -2, 1
Let -2*c**4/5 - 172*c**3/15 + 1264*c**2/15 - 764*c/5 + 42 = 0. What is c?
-35, 1/3, 3
Let v**3 - 187*v**2 + 186*v = 0. Calculate v.
0, 1, 186
Factor -y**4/4 - 15*y**3/2 - 7*y**2 + 15*y/2 + 29/4.
-(y - 1)*(y + 1)**2*(y + 29)/4
Factor -n**2 + 2*n + 15.
-(n - 5)*(n + 3)
Solve -4*t**4 - 8*t**3 + 576*t**2 + 8*t - 572 = 0.
-13, -1, 1, 11
What is p in -4*p**3/7 - 276*p**2/7 - 272*p/7 = 0?
-68, -1, 0
Let 2*v**5 + 14*v**4/3 - 2*v**3/3 - 14*v**2/3 - 4*v/3 = 0. What is v?
-2, -1, -1/3, 0, 1
Let -20*t**3/13 + 22*t**2/13 + 20*t/13 - 22/13 = 0. Calculate t.
-1, 1, 11/10
Determine a, given that 2*a**3/9 + 338*a**2/9 - 2800*a/9 + 1888/3 = 0.
-177, 4
Factor -3*m**5/7 + 7695*m**4/7 - 4922865*m**3/7 - 14814795*m**2/7 - 2118600*m - 4945968/7.
-3*(m - 1284)**2*(m + 1)**3/7
Let -2*t**2/19 - 42*t/19 + 260/19 = 0. What is t?
-26, 5
Factor 5*d**2 + 292*d + 116.
(d + 58)*(5*d + 2)
Solve -5*y**4 + 9*y**3 - 3*y**2 - y = 0 for y.
-1/5, 0, 1
Factor f**3/3 - 10*f**2/3 - 29*f - 48.
(f - 16)*(f + 3)**2/3
Find v, given that -36*v**4 - 3212*v**3 + 19484*v**2 - 26292*v - 6840 = 0.
-95, -2/9, 3
What is v in 111*v**2 + 3*v = 0?
-1/37, 0
Let 4*v**3 + 20*v**2 - 52*v + 28 = 0. What is v?
-7, 1
Factor 16*y**4 + 164*y**3 + 564*y**2 + 736*y + 320.
4*(y + 1)*(y + 4)**2*(4*y + 5)
Let -f**5/3 - 2*f**4 + 19*f**3/3 + 164*f**2/3 + 48*f - 320/3 = 0. What is f?
-4, 1, 5
What is c in -3*c**3 + 648*c**2 = 0?
0, 216
Factor 2*b**2 - 300*b + 11250.
2*(b - 75)**2
Factor 2*r**5/7 + 4*r**4/7 + 2*r**3/7.
2*r**3*(r + 1)**2/7
What is s in 9*s**5/8 + 717*s**4/8 + 18699*s**3/8 + 149931*s**2/8 - 32805*s - 59049/2 = 0?
-27, -2/3, 2
Factor -z**2 - 9*z + 10.
-(z - 1)*(z + 10)
Factor c**3/3 + 4*c**2/3 + c.
c*(c + 1)*(c + 3)/3
Factor 5*y**4 + 130*y**3 - 15*y**2 - 400*y - 260.
5*(y - 2)*(y + 1)**2*(y + 26)
Factor 4913*c**3 + 867*c**2 + 51*c + 1.
(17*c + 1)**3
Factor -d**2/6 + 3*d.
-d*(d - 18)/6
Suppose 105*h**3 - 117*h**2 - 168*h - 36 = 0. Calculate h.
-3/5, -2/7, 2
Factor g**5/7 + 12*g**4/7 + 51*g**3/7 + 88*g**2/7 + 48*g/7.
g*(g + 1)*(g 