 0. What is x?
-562, -1
Determine h, given that -4*h**2/7 - 796*h/7 = 0.
-199, 0
Suppose 4*d**2 - 16*d - 20 = 0. What is d?
-1, 5
Let -4*p**5/3 - 14*p**4/3 + 2*p**3 + 52*p**2/3 + 8*p/3 - 16 = 0. What is p?
-2, 1, 3/2
Factor -3*j**2/8 + 90*j - 5400.
-3*(j - 120)**2/8
Factor -g**4/3 - 46*g**3/3 - 165*g**2 - 150*g.
-g*(g + 1)*(g + 15)*(g + 30)/3
Solve -2*d**2/15 + 98*d/5 - 292/15 = 0 for d.
1, 146
Factor -s**3/3 - 4*s**2/3 + 11*s/3 - 2.
-(s - 1)**2*(s + 6)/3
Determine s so that 5*s**3/3 + 70*s**2/3 - 445*s/3 + 190 = 0.
-19, 2, 3
Find u, given that 4*u**3 + 344*u**2 - 2172*u + 3312 = 0.
-92, 3
Find l, given that -l**4/6 - 11*l**3/2 + 113*l**2/3 - 52*l = 0.
-39, 0, 2, 4
Solve -q**2/5 + 44*q/5 + 92/5 = 0 for q.
-2, 46
Factor 644*f**2 + 1280*f - 16.
4*(f + 2)*(161*f - 2)
Solve -8*f**3 - 52*f**2 - 52*f + 40 = 0.
-5, -2, 1/2
Factor 3*u**3/4 + 3*u**2/4 - 111*u/4 + 105/4.
3*(u - 5)*(u - 1)*(u + 7)/4
Suppose -3*v**3/4 - 3*v**2/2 + 33*v/4 + 9 = 0. What is v?
-4, -1, 3
Factor 2*z**5/3 + 4*z**4 + 8*z**3 + 20*z**2/3 + 2*z.
2*z*(z + 1)**3*(z + 3)/3
Factor f**2/5 + 6*f - 64/5.
(f - 2)*(f + 32)/5
Factor 4*a**2 + 52*a + 144.
4*(a + 4)*(a + 9)
Suppose -3*o**4 + 15*o**3 + 1737*o**2 + 11193*o - 29406 = 0. Calculate o.
-13, 2, 29
Suppose -5*m**3 + 115*m**2 - 600*m - 720 = 0. What is m?
-1, 12
Solve 18*j**2 + 19462*j + 4324 = 0 for j.
-1081, -2/9
Determine w, given that w**3 - 39*w**2 + 399*w - 361 = 0.
1, 19
Find h such that 2*h**3 + 776*h**2 + 1546*h + 772 = 0.
-386, -1
Factor 4*d**2 + 52*d + 168.
4*(d + 6)*(d + 7)
Determine f, given that 4*f**5/5 - 202*f**4/5 + 94*f**3/5 + 302*f**2/5 - 98*f/5 - 20 = 0.
-1, -1/2, 1, 50
Factor -14*o**3/3 + 20*o**2 + 18*o - 20/3.
-2*(o - 5)*(o + 1)*(7*o - 2)/3
Factor 32*m**3 - 944*m**2 - 478*m - 60.
2*(m - 30)*(4*m + 1)**2
Let -g**2 - 2*g - 1 = 0. Calculate g.
-1
Solve 5*g**2 + 9670*g + 4675445 = 0 for g.
-967
Factor 5*f**3 + 1585*f**2 - 4790*f + 3200.
5*(f - 2)*(f - 1)*(f + 320)
Determine d, given that -2*d**4/5 - 56*d**3/5 - 96*d**2 - 1152*d/5 = 0.
-12, -4, 0
Factor -a**2/3 + 50*a - 1875.
-(a - 75)**2/3
Factor -392*c**2 - 3640*c - 8450.
-2*(14*c + 65)**2
Factor -5*m**3/3 + 58*m**2/3 - 11*m.
-m*(m - 11)*(5*m - 3)/3
Factor 5*l**5 + 225*l**4 + 430*l**3.
5*l**3*(l + 2)*(l + 43)
Determine c, given that 3*c**3/8 - 15*c**2/8 + 3*c/2 = 0.
0, 1, 4
Factor -f**2/4 - 51*f - 2601.
-(f + 102)**2/4
Suppose -4*m**3 + 12*m**2 + 16*m - 48 = 0. Calculate m.
-2, 2, 3
Factor -h**3/3 - 502*h**2/3 + 2020*h/3 - 2024/3.
-(h - 2)**2*(h + 506)/3
Solve 2*w**2 - 1012*w + 128018 = 0.
253
What is t in -t**4 - 19*t**3 + 116*t**2 - 96*t = 0?
-24, 0, 1, 4
Factor 5*f**2 - 1655*f + 6540.
5*(f - 327)*(f - 4)
Solve 400*q**4 + 2220*q**3 + 1084*q**2 - 96*q - 80 = 0 for q.
-5, -2/5, 1/4
What is z in 2*z**3 + 138*z**2 + 2160*z - 7776 = 0?
-36, 3
Factor -2*h**4 - 6*h**3 + 90*h**2 - 154*h + 72.
-2*(h - 4)*(h - 1)**2*(h + 9)
Factor -84*k**3 + 80*k**2 + 4*k.
-4*k*(k - 1)*(21*k + 1)
Factor -3*v**2 - 1794*v.
-3*v*(v + 598)
Suppose -4*y**3/3 - 22*y**2/3 - 8*y/3 + 10/3 = 0. What is y?
-5, -1, 1/2
Determine m, given that 2*m**2/3 - 688*m/3 - 230 = 0.
-1, 345
Find j such that -2*j**3 - 1200*j**2 - 240000*j - 16000000 = 0.
-200
Factor -5*z**3 - 3230*z**2 + 3245*z + 6470.
-5*(z - 2)*(z + 1)*(z + 647)
What is l in -l**4 + 110*l**3 - 3661*l**2 + 33504*l - 29952 = 0?
1, 13, 48
Find h such that 12*h**3/5 + 56*h**2/5 + 52*h/5 - 24/5 = 0.
-3, -2, 1/3
What is y in 12*y**5/5 - 236*y**4 + 356*y**3/5 + 3564*y**2/5 - 3536*y/5 + 784/5 = 0?
-2, 1/3, 1, 98
Determine t so that 18*t**5/5 - 122*t**4/5 + 278*t**3/5 - 238*t**2/5 + 8*t + 24/5 = 0.
-2/9, 1, 2, 3
Find z, given that -43*z**2 + 1851*z - 86 = 0.
2/43, 43
Factor 3*g**2 + 63*g - 66.
3*(g - 1)*(g + 22)
Factor 2*x**3/11 + 138*x**2/11 + 2958*x/11 + 20230/11.
2*(x + 17)**2*(x + 35)/11
Factor -k**5/9 - 634*k**4/9 - 102376*k**3/9 - 599120*k**2/9 - 1188176*k/9 - 788768/9.
-(k + 2)**3*(k + 314)**2/9
Solve -2*d**5 - 24*d**4/7 + 106*d**3/7 - 12*d**2 + 16*d/7 = 0.
-4, 0, 2/7, 1
Solve -d**4/3 - 2*d**3/3 + 3*d**2 + 2*d/3 - 8/3 = 0 for d.
-4, -1, 1, 2
Factor -10*x**3 + 2774*x**2 - 3868*x + 1104.
-2*(x - 276)*(x - 1)*(5*x - 2)
Let h**4/2 + 31*h**3/2 + 132*h**2 + 342*h = 0. What is h?
-19, -6, 0
Factor z**3/7 - 13*z**2/7.
z**2*(z - 13)/7
Determine a so that -22*a**5/3 + 265*a**4/9 + 62*a**3/9 - 265*a**2/9 + 4*a/9 = 0.
-1, 0, 1/66, 1, 4
Factor h**4/3 + 3*h**3 + 10*h**2 + 44*h/3 + 8.
(h + 2)**3*(h + 3)/3
Factor -3*s**3 + 99*s**2 + 219*s - 315.
-3*(s - 35)*(s - 1)*(s + 3)
Solve -2*j**2/7 + 1114*j/7 - 1112/7 = 0 for j.
1, 556
Factor 2*g**2/9 - 46*g + 2020/9.
2*(g - 202)*(g - 5)/9
Factor 3*j**3/2 - 54*j**2 + 477*j/2 - 186.
3*(j - 31)*(j - 4)*(j - 1)/2
Suppose 3*u**4/2 + 15*u**3/2 + 9*u**2/2 - 15*u/2 - 6 = 0. Calculate u.
-4, -1, 1
Factor y**3 + 35*y**2 - 73*y + 37.
(y - 1)**2*(y + 37)
Factor -28*z**2/5 - 41756*z/5 - 11928/5.
-4*(z + 1491)*(7*z + 2)/5
Suppose 8*k**4 - 2*k**3 - 128*k**2 + 32*k = 0. What is k?
-4, 0, 1/4, 4
Let 12*a**3/7 - 44*a**2 - 104*a/7 = 0. What is a?
-1/3, 0, 26
Determine f so that -4*f**2 + 392*f = 0.
0, 98
Determine g, given that -g**3/2 + 2*g**2 - 3*g/2 = 0.
0, 1, 3
Factor -3*i**3 - 20892*i**2 - 36372972*i.
-3*i*(i + 3482)**2
Factor -2*f**2/5 - 1304*f - 1062760.
-2*(f + 1630)**2/5
Factor 4*a**2 + 808*a - 812.
4*(a - 1)*(a + 203)
Factor -3*r**3/7 - 115*r**2/7 - 144*r/7 + 148/7.
-(r + 2)*(r + 37)*(3*r - 2)/7
Factor -p**2 - 5940*p - 8820900.
-(p + 2970)**2
Determine j, given that -2*j**2/7 + 40*j/7 + 64 = 0.
-8, 28
Suppose -4*i**4/7 - 480*i**3/7 - 1404*i**2/7 = 0. What is i?
-117, -3, 0
Suppose -10*k**5/23 - 226*k**4/23 - 1798*k**3/23 - 5614*k**2/23 - 4312*k/23 + 2744/23 = 0. Calculate k.
-7, -2, 2/5
Solve -2*p**4/13 + 28*p**3/13 - 66*p**2/13 - 8*p/13 + 88/13 = 0.
-1, 2, 11
Factor r**3 + 4*r**2 - 7*r - 10.
(r - 2)*(r + 1)*(r + 5)
What is u in -7*u**4/4 - 88*u**3 - 2683*u**2/4 - 369*u/2 = 0?
-41, -9, -2/7, 0
Factor c**5/2 + 3*c**4/2 + 3*c**3/2 + c**2/2.
c**2*(c + 1)**3/2
What is w in -2*w**2/3 + 740*w - 205350 = 0?
555
Determine j so that 4*j**3 + 36*j**2 - 568*j + 1440 = 0.
-18, 4, 5
Suppose -2*h**4 - 126*h**3 - 708*h**2 - 1384*h - 912 = 0. What is h?
-57, -2
Let 2*s**2/7 - 296*s/7 = 0. Calculate s.
0, 148
Factor u**3 + 451*u**2 + 50624*u - 51076.
(u - 1)*(u + 226)**2
Factor -n**2/3 - 52*n/3 - 676/3.
-(n + 26)**2/3
Find b, given that -b**3/6 - 25*b**2/3 - 97*b/6 - 8 = 0.
-48, -1
Factor 192*p**3 + 3440*p**2 - 863*p/3 + 6.
(p + 18)*(24*p - 1)**2/3
Find v such that 3*v**4 - 18*v**2 + 24*v - 9 = 0.
-3, 1
Solve -4*h**4 - 2*h**3 + 12*h**2 - 2*h - 4 = 0.
-2, -1/2, 1
Determine w, given that -w**4/3 + 3*w**3 + 11*w**2/3 - 3*w - 10/3 = 0.
-1, 1, 10
What is o in 2*o**4/7 - 18*o**2/7 + 8*o/7 + 24/7 = 0?
-3, -1, 2
Factor 12*n**3 + 196*n**2 + 360*n - 3168.
4*(n - 3)*(n + 12)*(3*n + 22)
Factor d**5/2 - 10*d**4 + 77*d**3/2 + 121*d**2.
d**2*(d - 11)**2*(d + 2)/2
Determine q, given that -q**4 + q**3/9 = 0.
0, 1/9
Factor g**4/4 - g**3 - 3*g**2/4 + 5*g/2 + 2.
(g - 4)*(g - 2)*(g + 1)**2/4
Solve 50*h**3/3 - 32*h**2 + 14*h + 4/3 = 0 for h.
-2/25, 1
Find x such that -x**3 - 38*x**2 - 107*x - 70 = 0.
-35, -2, -1
Factor 5*p**4 - 35*p**3 + 70*p**2 - 40*p.
5*p*(p - 4)*(p - 2)*(p - 1)
What is y in y**3/4 + 5*y**2 - y/4 - 5 = 0?
-20, -1, 1
Let -r**2/5 - 333*r/5 + 334/5 = 0. What is r?
-334, 1
Factor -243*v**3 + 837*v**2 - 336*v + 36.
-3*(v - 3)*(9*v - 2)**2
Factor 135*l**2 - 141*l + 6.
3*(l - 1)*(45*l - 2)
Suppose -2*x**3 - 54*x**2 + 56*x = 0. Calculate x.
-28, 0, 1
Solve 4*v**3 - 152*v**2 + 560*v - 544 = 0 for v.
2, 34
Suppose w**5/3 + 9*w**4 + 203*w**3/3 + 601*w**2/3 + 232*w + 272/3 = 0. Calculate w.
-17, -4, -1
Determine h so that 3*h**3/4 + 69*h**2/4 = 0.
-23, 0
Factor 2*w**4 - 66*w**3 - 630*w**2 - 1054*w - 492.
2*(w - 41)*(w + 1)**2*(w + 6)
What is i in 2*i**3/3 + 7276*i**2/3 + 6617522*i/3 = 0?
-1819, 0
What is s in s**2/2 - 7*s/2 - 4 = 0?
-1, 8
Determine m so that -m**4/4 + 29*m**3/4 + 83*m**2/2 + 34*m = 0.
-4, -1, 0, 34
Solve 5*m**3 + 55*m**2 - 60*m = 0.
-12, 0, 1
What is p in -4*p**2/5 - 380*p + 3816/5 = 0?
-477, 2
Factor -2*h**4 + 44*h**3 - 118*h**2 + 76*h.
-2*h*(h - 19)*(h - 2)*(h - 1)
Factor 2*a**5 + 8*a**4 - 88*a**3 - 192*a**2.
2*a**2*(a - 6)*(a + 2)*(a + 8)
Let -8*y**5/3 - 278*y**4/9 - 114*y**3 - 328*y**2/3 + 928*y/9 + 128/3 = 0. Calculate y.
-4, -1/3, 3/4
F