9*t**2 + 817908*t + 686940 = 0.
-5, -1, 214
Solve -3*k**2 - 48*k + 240 = 0.
-20, 4
Factor -k**3 + 22*k**2 - 67*k - 90.
-(k - 18)*(k - 5)*(k + 1)
Determine g, given that -4*g**5/3 - 8*g**4 - 16*g**3 - 40*g**2/3 - 4*g = 0.
-3, -1, 0
Factor 2*n**3 + 2*n**2 - 72*n - 72.
2*(n - 6)*(n + 1)*(n + 6)
Factor -2*d**4 + 986*d**3 - 1964*d**2.
-2*d**2*(d - 491)*(d - 2)
Factor -75*f**3 + 2535*f**2 - 1992*f + 396.
-3*(f - 33)*(5*f - 2)**2
Solve 36*t**5 + 44*t**4 - 64*t**3 - 16*t**2 = 0.
-2, -2/9, 0, 1
Suppose 12*b**4 - 40*b**3 + 16*b**2 + 32*b = 0. What is b?
-2/3, 0, 2
Factor -110*d**3/13 - 216*d**2/13 + 8*d/13.
-2*d*(d + 2)*(55*d - 2)/13
Suppose -t**2 + 128*t - 127 = 0. Calculate t.
1, 127
Determine d so that 285*d**3 - 6*d**2 - 48*d = 0.
-2/5, 0, 8/19
Solve -3*s**3/5 = 0 for s.
0
Solve -6*q**3/5 + 1096*q**2/5 - 790*q + 2148/5 = 0.
2/3, 3, 179
Factor 3*u**5 - 171*u**4 + 954*u**3 - 1860*u**2 + 1224*u.
3*u*(u - 51)*(u - 2)**3
Determine z, given that 5*z**2 - 275*z = 0.
0, 55
Factor -4*g**3 - 12*g**2 + 288*g + 1296.
-4*(g - 9)*(g + 6)**2
Let 2*j**2 - 336*j + 664 = 0. Calculate j.
2, 166
Find s such that -2*s**3 + 8*s**2 + 64*s = 0.
-4, 0, 8
Solve -78*p**5 + 231*p**4 - 225*p**3 + 69*p**2 + 3*p = 0.
-1/26, 0, 1
Find a, given that 8*a**3/5 - 2038*a**2/5 - 4622*a/5 - 1028/5 = 0.
-2, -1/4, 257
Let i**4/4 + 41*i**3/4 + 399*i**2/4 - 441*i/4 = 0. What is i?
-21, 0, 1
Factor -4*k**2 - 416*k + 420.
-4*(k - 1)*(k + 105)
Let 20*u**2 + 88*u + 32 = 0. Calculate u.
-4, -2/5
Let -2*m**5 + 2*m**4 + 12*m**3 - 28*m**2 + 22*m - 6 = 0. What is m?
-3, 1
Factor -l**3/3 + 199*l**2/3 + 808*l/3 + 812/3.
-(l - 203)*(l + 2)**2/3
Factor -3*d**4 - 78*d**3 - 540*d**2 + 600*d + 12000.
-3*(d - 4)*(d + 10)**3
Factor -c**2/2 + 203*c.
-c*(c - 406)/2
Solve -s**4/6 + 7*s**3/3 + 9*s**2/2 - 370*s/3 + 350/3 = 0 for s.
-7, 1, 10
Factor -2*k**3 - 126*k**2 - 478*k - 354.
-2*(k + 1)*(k + 3)*(k + 59)
Let l**3/5 + l**2 + 8*l/5 + 4/5 = 0. What is l?
-2, -1
Factor -t**2/3 + 89*t + 546.
-(t - 273)*(t + 6)/3
What is c in 5*c**2 + 135*c - 990 = 0?
-33, 6
Suppose -3*v**3 - 9*v**2 + 72*v - 84 = 0. Calculate v.
-7, 2
Let -f**3/8 + 59*f**2/8 - 45*f - 2106 = 0. What is f?
-13, 36
Solve -2*j**3/3 - 94*j**2/3 + 2794*j/3 - 5566 = 0 for j.
-69, 11
Factor 4*z**3 + 76*z**2 + 380*z + 308.
4*(z + 1)*(z + 7)*(z + 11)
Determine j, given that -5*j**5 + 5225*j**4 - 1816550*j**3 + 208893950*j**2 + 423258475*j + 212542745 = 0.
-1, 349
Factor -y**2/3 + y - 2/3.
-(y - 2)*(y - 1)/3
Solve 5*o**4 - 15*o**3 + 10*o**2 = 0.
0, 1, 2
Suppose g**2/7 - 30*g + 416/7 = 0. What is g?
2, 208
What is r in -r**3 - 109*r**2 - 2100*r = 0?
-84, -25, 0
Solve -o**5/5 + 24*o**4/5 - 161*o**3/5 + 146*o**2/5 + 132*o - 968/5 = 0 for o.
-2, 2, 11
Factor -2*b**4 + 80*b**3 - 146*b**2 - 228*b.
-2*b*(b - 38)*(b - 3)*(b + 1)
Factor -26*o**4 - 204*o**3 - 384*o**2 + 64*o.
-2*o*(o + 4)**2*(13*o - 2)
Factor g**2/6 - 169*g/2 - 254/3.
(g - 508)*(g + 1)/6
Determine n, given that -4*n**3/5 + 44*n**2/5 + 64*n = 0.
-5, 0, 16
Factor 2*u**4 - 14*u**2 + 12*u.
2*u*(u - 2)*(u - 1)*(u + 3)
Factor -4*m**3 + 28*m**2 - 28*m - 60.
-4*(m - 5)*(m - 3)*(m + 1)
Solve -4*t**3 - 244*t**2 - 3596*t + 3844 = 0 for t.
-31, 1
Factor -5*o**4 + 75*o**3 - 135*o**2 + 65*o.
-5*o*(o - 13)*(o - 1)**2
Determine c, given that -2*c**2 + 50*c + 108 = 0.
-2, 27
Factor 5*y**3 + 65*y**2 - 5*y - 65.
5*(y - 1)*(y + 1)*(y + 13)
Solve -3*k**4 + 24*k**3 + 195*k**2 = 0 for k.
-5, 0, 13
Let -3*i**3 + 6*i**2 + 3*i - 6 = 0. What is i?
-1, 1, 2
Solve -2*l**4 + 492*l**3 - 31680*l**2 + 172800*l = 0 for l.
0, 6, 120
Solve 5*q**4 - 210*q**3 + 1740*q**2 + 9890*q + 7935 = 0.
-3, -1, 23
What is f in 3*f**3 + 24*f**2 - 279*f + 540 = 0?
-15, 3, 4
Factor o**2/2 + 60*o + 118.
(o + 2)*(o + 118)/2
What is w in 4*w**4 + 708*w**3 + 1400*w**2 = 0?
-175, -2, 0
What is z in -z**2/3 - 164*z/3 - 6724/3 = 0?
-82
Determine p so that -p**2 - 500*p + 501 = 0.
-501, 1
Let -3*x**2 - 42*x + 96 = 0. What is x?
-16, 2
Factor -2*j**3/5 + 26*j**2 - 372*j/5.
-2*j*(j - 62)*(j - 3)/5
Factor -12*d**3 - 8211*d**2/2 - 351405*d - 87723/2.
-3*(d + 171)**2*(8*d + 1)/2
Factor -2*r**4/13 + 88*r**3/13 - 170*r**2/13 + 84*r/13.
-2*r*(r - 42)*(r - 1)**2/13
Factor o**3/6 - 115*o**2/6 - 59*o.
o*(o - 118)*(o + 3)/6
Factor -4*b**3 - 512*b**2 - 4820*b - 11800.
-4*(b + 5)**2*(b + 118)
Suppose -3*i**2/2 + 118*i + 79/2 = 0. What is i?
-1/3, 79
Factor 2*n**5/9 + 2*n**4 + 16*n**3/3 + 40*n**2/9.
2*n**2*(n + 2)**2*(n + 5)/9
Factor 637563*n**5 - 632031*n**4 - 5520*n**3 - 12*n**2.
3*n**2*(n - 1)*(461*n + 2)**2
Factor -3*y**2 + 90*y - 567.
-3*(y - 21)*(y - 9)
Factor 2*r**5 - 26*r**3 + 24*r**2.
2*r**2*(r - 3)*(r - 1)*(r + 4)
Factor 2*k**4 - 60*k**3 - 64*k**2 + 60*k + 62.
2*(k - 31)*(k - 1)*(k + 1)**2
Suppose -2*m**5/17 - 2*m**4/17 + 2*m**3/17 + 2*m**2/17 = 0. Calculate m.
-1, 0, 1
Solve -16*p**5/3 - 12392*p**4/3 - 2402489*p**3/3 - 1192735*p**2/3 + 349203*p - 49923 = 0.
-387, -1, 1/4
Factor g**4/7 + 234*g**3/7 + 232*g**2/7 - 234*g/7 - 233/7.
(g - 1)*(g + 1)**2*(g + 233)/7
Factor 2*c**2 - 766*c - 768.
2*(c - 384)*(c + 1)
Factor n**2/2 + n/2.
n*(n + 1)/2
Solve 15*d**4/4 - 171*d**3/2 + 1971*d**2/4 - 798*d - 180 = 0 for d.
-1/5, 4, 15
Factor -2*u**2/3 - 124*u + 378.
-2*(u - 3)*(u + 189)/3
Find b such that b**4 + b**3 - 7*b**2 - 13*b - 6 = 0.
-2, -1, 3
Determine i so that 16*i**5 + 424*i**4 - 1620*i**3 + 1774*i**2 - 776*i + 120 = 0.
-30, 1/2, 2
Solve -2*a**2/7 + 8*a/7 + 192/7 = 0.
-8, 12
Determine d, given that 3*d**2/7 + 18*d/7 - 48/7 = 0.
-8, 2
Find q such that 6*q**2 - 29*q - 5 = 0.
-1/6, 5
Determine m, given that -5*m**5 - 40*m**4 - 80*m**3 = 0.
-4, 0
Determine a so that -a**2/3 + 18*a + 427/3 = 0.
-7, 61
Factor 2*p**2/3 + 28*p + 370/3.
2*(p + 5)*(p + 37)/3
Find v, given that 3*v**5 - 135*v**4 + 498*v**3 - 234*v**2 - 501*v + 369 = 0.
-1, 1, 3, 41
Factor 2*u**3/13 - 6*u**2/13 - 12*u/13 + 16/13.
2*(u - 4)*(u - 1)*(u + 2)/13
Factor -8*z**4/7 + 44*z**3 - 450*z**2/7 + 223*z/7 - 37/7.
-(z - 37)*(2*z - 1)**3/7
Factor -4*u**3/7 - 8*u**2 + 60*u/7.
-4*u*(u - 1)*(u + 15)/7
Factor 5*h**2 - 130*h - 135.
5*(h - 27)*(h + 1)
Solve -21*s**2/8 - 153*s/8 - 21/4 = 0 for s.
-7, -2/7
Factor -4*p**2 + 252*p + 6640.
-4*(p - 83)*(p + 20)
Factor -4*n**2/7 - 44*n/7 - 120/7.
-4*(n + 5)*(n + 6)/7
Find r, given that -r**2 + 154*r - 600 = 0.
4, 150
Solve -4*x**2 + 4*x = 0.
0, 1
Factor 5*l**3/4 + 21*l**2/2 + 91*l/4 + 15/2.
(l + 3)*(l + 5)*(5*l + 2)/4
Factor -z**5/7 - 7*z**4 - 39*z**3/7 + 421*z**2/7 - 524*z/7 + 192/7.
-(z - 1)**3*(z + 4)*(z + 48)/7
Solve -3*q**4 - 12*q**3 - 12*q**2 = 0 for q.
-2, 0
Factor y**4/4 + 31*y**3/4 - 33*y**2/4 - 31*y/4 + 8.
(y - 1)**2*(y + 1)*(y + 32)/4
Factor -k**4/3 + 2*k**3.
-k**3*(k - 6)/3
Factor l**4 - 13*l**3 + 41*l**2 - 47*l + 18.
(l - 9)*(l - 2)*(l - 1)**2
Factor 3*g**2 + 987*g - 1986.
3*(g - 2)*(g + 331)
Find r, given that 5*r**2 + 170*r = 0.
-34, 0
Factor 5*k**5 - 10*k**4 - 15*k**3.
5*k**3*(k - 3)*(k + 1)
Solve -5*t**5/6 - 541*t**4/6 - 7609*t**3/3 - 15821*t**2/3 - 19769*t/6 - 2809/6 = 0 for t.
-53, -1, -1/5
Find d, given that 5*d**4 - 40*d**3 + 35*d**2 = 0.
0, 1, 7
Suppose y**3/4 - 11*y**2/2 + 41*y/4 - 5 = 0. Calculate y.
1, 20
Factor -n**2 - 84*n - 1764.
-(n + 42)**2
What is t in 45*t**5 + 280*t**4 + 375*t**3 - 200*t**2 - 420*t - 80 = 0?
-4, -2, -1, -2/9, 1
Let y**3 - 91*y**2 + 598*y - 840 = 0. What is y?
2, 5, 84
Factor -5*a**2/4 + 4075*a/2 - 3321125/4.
-5*(a - 815)**2/4
Factor -2*u**4/23 - 30*u**3/23 - 144*u**2/23 - 216*u/23.
-2*u*(u + 3)*(u + 6)**2/23
Factor -2*a**3 - 5*a**2 + 46*a + 24.
-(a - 4)*(a + 6)*(2*a + 1)
Factor 2*y**2 - 2078*y.
2*y*(y - 1039)
Find w such that 3*w**2/4 - 138*w = 0.
0, 184
Factor 5*j**3 + 950*j**2 - 955*j.
5*j*(j - 1)*(j + 191)
Solve p**4/4 + 8*p**3 + 45*p**2/2 + 22*p + 29/4 = 0.
-29, -1
Find t such that -t**5/7 - 20*t**4/7 - 137*t**3/7 - 430*t**2/7 - 636*t/7 - 360/7 = 0.
-10, -3, -2
Find z such that 3*z**3/7 + 627*z**2/7 + 4635*z - 4725 = 0.
-105, 1
Factor -5*z**4 - 205*z**3.
-5*z**3*(z + 41)
Factor -n**2/4 - 215*n - 46225.
-(n + 430)**2/4
Determine d so that -4*d**4 + 16*d**3 + 52*d**2 - 16*d - 48 = 0.
-2, -1, 1, 6
Let 11*v**4/7 - 251*v**3/7 + 1230*v**2/7 + 1772*v/7 + 40 = 0. Calculate v.
-1, -2/11, 10, 14
Factor -m**2/6 - 31*m/3 - 100.
-(m + 12)*(m + 50)/6
Factor -2*k**5/3 - 206*k**4/3 - 1802*k**3 - 1734*k**2.
-2*k**2*(k + 1)*(k + 51)**2/3
