**3/10 - 6*t**2/5 - 43*t/10 - 3.
(t - 15)*(t + 1)*(t + 2)/10
Factor -2*z**2/5 + 3212*z/5 - 1289618/5.
-2*(z - 803)**2/5
Factor m**2 - 470*m + 55225.
(m - 235)**2
Factor 1372*i**4 + 5733*i**3/4 + 1113*i**2/2 + 95*i + 6.
(7*i + 2)**3*(16*i + 3)/4
What is b in -10*b**4 + 45*b**3 + 195*b**2 - 1160*b + 1200 = 0?
-5, 3/2, 4
Factor 10*r**3 - 64*r**2 + 74*r - 20.
2*(r - 5)*(r - 1)*(5*r - 2)
Factor 2*t**2/5 - 836*t/5 + 1664/5.
2*(t - 416)*(t - 2)/5
Solve 4*l**3 - 36*l**2 - 228*l + 260 = 0 for l.
-5, 1, 13
Factor 8*a**2/9 + 602*a/9.
2*a*(4*a + 301)/9
Suppose 3*t**5/2 + 29*t**4/4 - 23*t**3/4 - 99*t**2/4 - 43*t/4 + 5/2 = 0. Calculate t.
-5, -1, 1/6, 2
Factor -2*v**2/5 + 4*v - 32/5.
-2*(v - 8)*(v - 2)/5
Factor -2*t**2/13 + 76*t/13 - 272/13.
-2*(t - 34)*(t - 4)/13
Let -5*t**4 + 45*t**3 + 135*t**2 - 2225*t + 5250 = 0. Calculate t.
-7, 5, 6
Factor -5*g**2 - 310*g - 4805.
-5*(g + 31)**2
Factor 2*v**4/5 + 214*v**3/5 - 434*v**2/5 + 218*v/5.
2*v*(v - 1)**2*(v + 109)/5
Find x, given that x**2 - 8*x - 9 = 0.
-1, 9
Let -245*d**5/3 + 3150*d**4 - 23225*d**3/3 + 6600*d**2 - 6500*d/3 + 240 = 0. Calculate d.
2/7, 1, 36
Suppose 4*b**5 + 44*b**4 + 24*b**3 - 176*b**2 - 160*b = 0. Calculate b.
-10, -2, -1, 0, 2
Factor -5*y**3 + 7*y**2 + 6*y.
-y*(y - 2)*(5*y + 3)
Determine b so that b**5 - 5975*b**4 + 14280250*b**3 - 17064898750*b**2 + 10196277003125*b - 2436910203746875 = 0.
1195
Solve 841*x**3/8 - 725*x**2/8 - 14*x - 1/2 = 0.
-2/29, 1
Determine b so that b**2/7 - 9*b = 0.
0, 63
Solve -5*a**4/3 + 392*a**3/3 - 382*a**2/3 - 392*a/3 + 129 = 0 for a.
-1, 1, 387/5
Factor -3*n**2 + 96*n - 261.
-3*(n - 29)*(n - 3)
Factor -2*i**3/11 + 178*i**2/11 - 3870*i/11 - 4050/11.
-2*(i - 45)**2*(i + 1)/11
Let i**3/3 + 12*i**2 - 37*i/3 = 0. Calculate i.
-37, 0, 1
Factor -3*m**2 + 38*m + 88.
-(m + 2)*(3*m - 44)
Find l, given that -2*l**4/3 + 28*l**3/3 - 46*l**2/3 - 28*l/3 + 16 = 0.
-1, 1, 2, 12
Factor k**4 - 273*k**3 + 25608*k**2 - 890560*k + 6133248.
(k - 88)**3*(k - 9)
Factor 2*n**2/11 - 118*n/11 - 120/11.
2*(n - 60)*(n + 1)/11
Let -5*x**2 - 190*x = 0. Calculate x.
-38, 0
Factor 6*o**3 - 11*o**2 - 2*o.
o*(o - 2)*(6*o + 1)
Solve 5*v**4 + 250*v**3 + 3365*v**2 + 6000*v + 2880 = 0 for v.
-24, -1
Suppose -3*w**3 - 63*w**2 - 270*w + 336 = 0. What is w?
-14, -8, 1
Let 2*z**3/5 + 7*z**2/2 + 71*z/10 - 2 = 0. What is z?
-5, -4, 1/4
Factor -5*c**2 + 95*c - 90.
-5*(c - 18)*(c - 1)
Let -z**3/3 + z**2 + 4*z/3 = 0. What is z?
-1, 0, 4
Find z such that -2*z**4/5 - 2*z**3/5 + 2*z**2/5 + 2*z/5 = 0.
-1, 0, 1
Determine d so that 2*d**3 + 170*d**2 + 1628*d = 0.
-74, -11, 0
Suppose -2*u**4 + 22*u**3 - 90*u**2 + 162*u - 108 = 0. Calculate u.
2, 3
Solve -98*f**4/3 + 56*f**3/3 + 128*f**2 - 224*f/3 + 32/3 = 0.
-2, 2/7, 2
Determine p, given that p**4/5 - 572*p**3/5 + 569*p**2/5 + 1142*p/5 = 0.
-1, 0, 2, 571
Suppose -2*y**3/9 - 310*y**2/9 - 3952*y/3 + 1352 = 0. Calculate y.
-78, 1
Suppose 5*h**4 + 255*h**3 - 265*h**2 - 255*h + 260 = 0. Calculate h.
-52, -1, 1
Let d**4 + 244*d**3 + 241*d**2 - 486*d = 0. Calculate d.
-243, -2, 0, 1
Solve k**2/2 - 455*k - 911/2 = 0 for k.
-1, 911
Factor f**4/4 + 49*f**3/4 - 549*f**2/2 + 1755*f - 3618.
(f - 6)**3*(f + 67)/4
Factor 2*t**3/7 - 6*t**2 - 720*t/7 + 15200/7.
2*(t - 20)**2*(t + 19)/7
Factor -2*m**3/7 + 54*m**2/7 - 328*m/7 - 384/7.
-2*(m - 16)*(m - 12)*(m + 1)/7
Solve -5*h**3 + 20*h**2 - 5*h - 30 = 0 for h.
-1, 2, 3
Solve -o**3/4 + 5*o**2/4 - 2*o + 1 = 0.
1, 2
Factor -4*c**4 - 36*c**3 + 60*c**2 + 212*c + 120.
-4*(c - 3)*(c + 1)**2*(c + 10)
Find y, given that -2*y**5/11 - 10*y**4/11 - 16*y**3/11 - 8*y**2/11 = 0.
-2, -1, 0
Factor 4*a**4 + 76*a**3 + 288*a**2 - 1792*a - 10240.
4*(a - 5)*(a + 8)**3
Solve y**3/3 - 2*y**2/3 - 5*y/3 + 2 = 0.
-2, 1, 3
Determine v, given that 2*v**2/7 + 2140*v + 4007150 = 0.
-3745
Factor 2*s**2/5 + 128*s/5 - 26.
2*(s - 1)*(s + 65)/5
Let -13*y**3 + 11*y**2 + 2*y = 0. Calculate y.
-2/13, 0, 1
Determine y, given that 5*y**5 - 30*y**4 - 20*y**3 + 280*y**2 - 640 = 0.
-2, 2, 4
Let j**5/3 - j**4 + 2*j**3/3 = 0. What is j?
0, 1, 2
Factor 3*r**3 - 39*r**2 + 117*r - 81.
3*(r - 9)*(r - 3)*(r - 1)
Let -2*r**3 - 199*r**2 - 295*r - 98 = 0. Calculate r.
-98, -1, -1/2
Find b, given that 12*b**4 - 208*b**3 + 1220*b**2 - 2544*b + 720 = 0.
1/3, 5, 6
Let u**2/3 + 23*u/3 - 8 = 0. Calculate u.
-24, 1
Find r, given that -14*r**2 + 2228*r - 318 = 0.
1/7, 159
Solve 2*t**2/11 + 20*t/11 - 78/11 = 0 for t.
-13, 3
Factor -a**4 + 27*a**3 - 75*a**2 + 73*a - 24.
-(a - 24)*(a - 1)**3
Solve -y**2/5 + 6*y/5 + 7/5 = 0 for y.
-1, 7
Suppose -2*h**4/5 + 8*h**3 - 234*h**2/5 + 324*h/5 = 0. What is h?
0, 2, 9
Find h such that -2*h**4 - 198*h**3 - 954*h**2 - 1322*h - 564 = 0.
-94, -3, -1
Factor 15*z**2 + 51*z + 18.
3*(z + 3)*(5*z + 2)
Solve a**2/4 - 38*a = 0.
0, 152
Factor -5*r**4 - 20*r**3 + 30*r**2 + 20*r - 25.
-5*(r - 1)**2*(r + 1)*(r + 5)
Let -21*z**4 + 5928*z**3 - 419193*z**2 + 119286*z = 0. Calculate z.
0, 2/7, 141
Find o such that -4*o**4 + 208*o**3 - 200*o**2 - 208*o + 204 = 0.
-1, 1, 51
Factor -39*j**2 + 18*j.
-3*j*(13*j - 6)
Factor -2*g**3/11 + 80*g**2/11.
-2*g**2*(g - 40)/11
Suppose -o**3/9 - 38*o**2/9 + 164*o/9 - 56/3 = 0. Calculate o.
-42, 2
Let 20*m**4 + 108*m**3 - 80*m**2 - 48*m = 0. What is m?
-6, -2/5, 0, 1
Suppose 90*x**3 + 65*x**2 = 0. What is x?
-13/18, 0
Factor p**2 - 80*p - 81.
(p - 81)*(p + 1)
Determine m so that 44*m**3 - 1064*m**2 - 908*m + 200 = 0.
-1, 2/11, 25
Find l, given that -3*l**3 - 9*l**2 + 135*l + 525 = 0.
-5, 7
Factor 5*l**2 + 8390*l + 3519605.
5*(l + 839)**2
Find k such that -747*k**4 - 3309*k**3 - 3549*k**2 - 1059*k - 72 = 0.
-3, -1, -1/3, -8/83
Determine t, given that t**2/3 - 40*t/3 - 41/3 = 0.
-1, 41
Solve -6*h**5/7 - 8*h**4 - 134*h**3/7 - 4*h**2/7 + 80*h/7 = 0.
-5, -4, -1, 0, 2/3
Suppose -3*g**2 + 11430*g - 10887075 = 0. What is g?
1905
Factor -4*f**5 - 284*f**4 - 6184*f**3 - 41400*f**2 - 110484*f - 103788.
-4*(f + 3)**3*(f + 31)**2
Find m such that -2*m**5/5 - 146*m**4/5 - 3338*m**3/5 - 24398*m**2/5 - 51956*m/5 - 30752/5 = 0.
-31, -8, -2, -1
What is t in -3*t**5/2 - 6*t**4 + 33*t**3/2 - 9*t**2 = 0?
-6, 0, 1
Find d, given that -2*d**3/3 - 26*d**2 + 2*d/3 + 26 = 0.
-39, -1, 1
Find i such that 2*i**4/17 + 60*i**3/17 - 126*i**2/17 + 64*i/17 = 0.
-32, 0, 1
Factor 3*x**5 - 1065*x**4 + 151230*x**3 - 10737330*x**2 + 381175215*x - 5412688053.
3*(x - 71)**5
Determine w, given that -3*w**2 + 1146*w - 4536 = 0.
4, 378
Solve l**4/5 + 36*l**3/5 + 363*l**2/5 + 352*l/5 - 5376/5 = 0.
-16, -7, 3
Solve f**5/2 - 3*f**4 - 43*f**3/2 + 8*f**2 + 66*f + 40 = 0 for f.
-4, -1, 2, 10
Find l, given that l**3 - 1148*l**2 - 2299*l - 1150 = 0.
-1, 1150
Factor -m**3 + 275*m**2 - 18768*m - 19044.
-(m - 138)**2*(m + 1)
Find q, given that 5*q**2 - 130*q - 135 = 0.
-1, 27
Suppose -2*a**4 - 52*a**3 + 168*a**2 - 172*a + 58 = 0. Calculate a.
-29, 1
Let -9*j**4/4 + 24*j**3 - 213*j**2/4 + 87*j/2 - 12 = 0. What is j?
2/3, 1, 8
Suppose -2*z**3/11 - 76*z**2/11 - 210*z/11 = 0. Calculate z.
-35, -3, 0
Factor y**3/5 + 14*y**2/5 + 13*y + 20.
(y + 4)*(y + 5)**2/5
Factor l**2 - 20*l - 44.
(l - 22)*(l + 2)
Factor -r**4/2 + r**3 + 75*r**2/2 - 126*r - 162.
-(r - 6)**2*(r + 1)*(r + 9)/2
Suppose 28*n**3/3 - 824*n**2 + 3140*n/3 - 232 = 0. Calculate n.
2/7, 1, 87
Factor -165*z**2/4 + 867*z - 63/4.
-3*(z - 21)*(55*z - 1)/4
What is c in -2*c**4 + 24*c**3/5 + 182*c**2/5 - 276*c/5 + 16 = 0?
-4, 2/5, 1, 5
Let -16*d**5/5 + 292*d**4/5 - 1416*d**3/5 + 2768*d**2/5 - 2144*d/5 + 384/5 = 0. Calculate d.
1/4, 2, 12
Factor 4*p**4 + 300*p**3 + 5472*p**2 - 5776*p.
4*p*(p - 1)*(p + 38)**2
Factor 3*a**2 - 21*a - 132.
3*(a - 11)*(a + 4)
Factor 5*z**2 - 740*z + 2880.
5*(z - 144)*(z - 4)
What is m in -2*m**5/9 - 22*m**4/9 - 44*m**3/9 + 40*m**2/3 + 16*m = 0?
-6, -1, 0, 2
Let -t**2 + 552*t - 76176 = 0. Calculate t.
276
Factor -5*o**5 + 260*o**4 - 3625*o**3 + 6250*o**2.
-5*o**2*(o - 25)**2*(o - 2)
Factor -5*r**4 - 10*r**3 + 95*r**2 + 100*r.
-5*r*(r - 4)*(r + 1)*(r + 5)
Let 4*x**3/7 - 2*x**2/7 - 10*x/7 - 4/7 = 0. Calculate x.
-1, -1/2, 2
Let z**4 - 27*z**3 - 57*z**2 - 29*z = 0. What is z?
-1, 0, 29
Solve 3*a**4 - 3*a**3 - 6*a**2 = 0 for a.
-1, 0, 2
Solve x**4 - 6*x**3 + 8*x**2 = 0.
0, 2, 4
Factor -w**2/3 + 37*w/3.
-w*(w - 37)/3
What is x in -4*x**5 - 12*x**4 + 36*x**3 + 108*x**2 = 0?
-3, 0, 3
Solve 3*o**3/4 - 33759*o**2/4 + 126630009*o