- 2)/8
Factor 4*y**2 + 3812*y - 3816.
4*(y - 1)*(y + 954)
Solve -2*o**2 + 28*o - 48 = 0.
2, 12
Suppose 3*f**4 + 390*f**3 + 13764*f**2 + 69192*f = 0. Calculate f.
-62, -6, 0
Determine f so that 2*f**5/11 - 20*f**4/11 + 38*f**3/11 + 52*f**2/11 - 184*f/11 + 112/11 = 0.
-2, 1, 2, 7
Suppose 5*s**3/2 + 43*s**2/2 - 34*s + 10 = 0. Calculate s.
-10, 2/5, 1
Solve 4*x**5 - 12*x**4 - 40*x**3 - 8*x**2 + 36*x + 20 = 0.
-1, 1, 5
Factor b**4 + 29*b**3 + 55*b**2 + 27*b.
b*(b + 1)**2*(b + 27)
Find k, given that -3*k**2/2 - 69*k + 144 = 0.
-48, 2
Factor -4*s**3/7 + 6184*s**2/7 - 2390116*s/7.
-4*s*(s - 773)**2/7
Factor 3*z**5/7 - 15*z**4/7 + 27*z**3/7 - 3*z**2 + 6*z/7.
3*z*(z - 2)*(z - 1)**3/7
Factor -4*p**3 + 64*p**2 - 256*p.
-4*p*(p - 8)**2
Factor -4*s**4/7 + 8912*s**3/7 - 946368*s**2 + 235326784*s - 466878272.
-4*(s - 742)**3*(s - 2)/7
Factor 2*k**3 + 346*k**2.
2*k**2*(k + 173)
Find a, given that 4*a**5/7 - 192*a**4/7 + 352*a**3/7 + 744*a**2/7 - 356*a/7 - 552/7 = 0.
-1, 1, 3, 46
Determine n, given that -n**5/2 - 7*n**4 - 38*n**3 - 99*n**2 - 243*n/2 - 54 = 0.
-4, -3, -1
Suppose -11*f**4/6 - 35*f**3/6 - f**2 + 22*f/3 + 4/3 = 0. Calculate f.
-2, -2/11, 1
Factor 2*t**2 + 236*t - 238.
2*(t - 1)*(t + 119)
Factor 2*f**3/9 - 242*f**2/9 + 7198*f/9 + 7442/9.
2*(f - 61)**2*(f + 1)/9
Find t such that 2*t**5/17 - 42*t**4/17 + 286*t**3/17 - 518*t**2/17 - 1176*t/17 + 2744/17 = 0.
-2, 2, 7
Factor -5*b**4 + 55*b**3 - 195*b**2 + 225*b.
-5*b*(b - 5)*(b - 3)**2
Suppose -3*b**3 + 15*b**2 + 12*b - 60 = 0. Calculate b.
-2, 2, 5
Factor 3*z**3 + 327*z**2 - 330*z.
3*z*(z - 1)*(z + 110)
Suppose -h**5 + 3*h**4 - 2*h**3 = 0. Calculate h.
0, 1, 2
Factor 1099*v**3/3 + 8*v**2/3.
v**2*(1099*v + 8)/3
Factor u**2 - 304*u + 23104.
(u - 152)**2
Let 5*f**5/3 - 14*f**4/3 - 26*f**3 - 100*f**2/3 - 47*f/3 - 2 = 0. What is f?
-1, -1/5, 6
Factor m**5/6 + 4*m**4/3 + 2*m**3.
m**3*(m + 2)*(m + 6)/6
Factor 2*c**4/9 - 50*c**3/9 + 286*c**2/9 + 338*c/9.
2*c*(c - 13)**2*(c + 1)/9
Determine j so that 2*j**2/9 + 608*j/3 + 1822/9 = 0.
-911, -1
Let -n**2/7 + 4538*n/7 - 5148361/7 = 0. What is n?
2269
Find h, given that -5*h**3 + 10*h**2 + 5*h - 10 = 0.
-1, 1, 2
Factor 12*n**4 - 93*n**3 + 216*n**2 - 132*n - 48.
3*(n - 4)*(n - 2)**2*(4*n + 1)
What is g in -3*g**3/7 - 7881*g**2/7 + 15774*g/7 = 0?
-2629, 0, 2
Determine r, given that 87*r**4 + 1224*r**3 + 1041*r**2 - 2196*r - 156 = 0.
-13, -2, -2/29, 1
Let 3*m**4 - 3*m**3 - 9*m**2 + 15*m - 6 = 0. What is m?
-2, 1
Solve -3*z**2 + 300*z + 4032 = 0 for z.
-12, 112
Factor -2*x**3/17 + 916*x**2/17 + 1838*x/17 + 920/17.
-2*(x - 460)*(x + 1)**2/17
Determine w so that 6*w**5 - 11*w**4 - w**3 + 9*w**2 - w - 2 = 0.
-2/3, -1/2, 1
Factor -r**4/3 + 2*r**3/3.
-r**3*(r - 2)/3
Factor 3*n**2 - 180*n + 2700.
3*(n - 30)**2
Factor -2*t**3/17 + 336*t**2/17 - 810*t - 1700.
-2*(t - 85)**2*(t + 2)/17
Let t**3 + 24*t**2 + 161*t + 234 = 0. What is t?
-13, -9, -2
Suppose -b**3 - 87*b**2 - 86*b = 0. Calculate b.
-86, -1, 0
Factor -4*p**4/7 - 20*p**3/7 - 36*p**2/7 - 4*p - 8/7.
-4*(p + 1)**3*(p + 2)/7
Suppose -2*k**3/5 + 258*k**2/5 - 256*k/5 = 0. Calculate k.
0, 1, 128
Solve o**5/9 - 7*o**4/9 + 5*o**3/3 - 5*o**2/9 - 16*o/9 + 4/3 = 0 for o.
-1, 1, 2, 3
Factor s**5/8 - s**4/4 - 5*s**3/8 + 3*s**2/4.
s**2*(s - 3)*(s - 1)*(s + 2)/8
Let -3*z**5 + 48*z**4 + 231*z**3 + 192*z**2 - 228*z - 240 = 0. What is z?
-2, -1, 1, 20
Factor 164*w**2 - 158*w - 6.
2*(w - 1)*(82*w + 3)
Factor 6*s**4 - 27*s**3 + 21*s**2 + 18*s.
3*s*(s - 3)*(s - 2)*(2*s + 1)
Factor 10*d**2 + 66*d + 92.
2*(d + 2)*(5*d + 23)
Find o, given that o**5/5 + 7*o**4/5 - 71*o**3/5 + 97*o**2/5 + 14*o - 104/5 = 0.
-13, -1, 1, 2, 4
Factor 2*w**2/3 - 4*w/3 - 32.
2*(w - 8)*(w + 6)/3
Solve -3*n**4 - 39*n**3 + 387*n**2 - 645*n + 300 = 0.
-20, 1, 5
Find z, given that -z**2/4 - 22*z - 1647/4 = 0.
-61, -27
Solve -5*y**5/2 - 45*y**4/2 + 35*y**3/2 + 345*y**2/2 + 135*y = 0.
-9, -2, -1, 0, 3
Let -25*v**2 + 330*v - 305 = 0. Calculate v.
1, 61/5
Find v such that -3*v**3 + 78*v**2 - 327*v + 252 = 0.
1, 4, 21
Let -f**2/7 + 45*f/7 - 44/7 = 0. Calculate f.
1, 44
Solve -2*d**3 - 8*d**2 + 10*d = 0.
-5, 0, 1
Determine x, given that -5*x**2 + 11930*x - 7116245 = 0.
1193
Find c such that 7*c**3/3 - 464*c**2/3 + 587*c/3 - 130/3 = 0.
2/7, 1, 65
Factor 45*w**2 + 84*w - 297.
3*(3*w + 11)*(5*w - 9)
Find y, given that -3*y**3/4 - 39*y**2/4 + 12*y + 21 = 0.
-14, -1, 2
What is t in t**2/2 - 7*t - 16 = 0?
-2, 16
What is c in -2*c**4 + 6*c**3 + 8*c**2 - 24*c = 0?
-2, 0, 2, 3
What is b in b**3/5 + 33*b**2/5 + 24*b + 116/5 = 0?
-29, -2
Factor r**2/3 - 1528*r + 1751088.
(r - 2292)**2/3
Factor -7*r**3/5 + 264*r**2/5 - 183*r/5 - 74/5.
-(r - 37)*(r - 1)*(7*r + 2)/5
Factor 4*g**4 + 236*g**3 + 684*g**2 + 676*g + 224.
4*(g + 1)**3*(g + 56)
Suppose -8*m**2 - 156*m - 148 = 0. Calculate m.
-37/2, -1
Factor -2*y**2/11 - 190*y/11 - 1392/11.
-2*(y + 8)*(y + 87)/11
Factor -20*a**4 + 48*a**3 - 36*a**2 + 8*a.
-4*a*(a - 1)**2*(5*a - 2)
Factor 5*t**2/4 + 2625*t + 1378125.
5*(t + 1050)**2/4
Factor 2*a**3/3 - 144*a**2 + 10368*a - 248832.
2*(a - 72)**3/3
Factor 4*d**2 - 4*d - 24.
4*(d - 3)*(d + 2)
Factor 2*l**4 - 74*l**3 - 600*l**2 + 32032*l - 31360.
2*(l - 28)**2*(l - 1)*(l + 20)
Solve 12*s**4 - 34*s**3 - 116*s**2 = 0.
-2, 0, 29/6
Suppose -12*l**4/7 - 86*l**3/7 - 206*l**2/7 - 176*l/7 - 24/7 = 0. Calculate l.
-3, -2, -1/6
Solve 3*i**4 + 114*i**3 + 555*i**2 - 672*i = 0.
-32, -7, 0, 1
Factor 2*p**2/7 - 76*p/7 - 288.
2*(p - 56)*(p + 18)/7
Suppose 24*x**5/5 - 30*x**4 + 36*x**3/5 = 0. What is x?
0, 1/4, 6
Factor 2*p**4/3 + 10*p**3/3 - 26*p**2/3 + 14*p/3.
2*p*(p - 1)**2*(p + 7)/3
Solve 2*y**5/3 - 14*y**4 - 578*y**3/3 - 434*y**2 = 0.
-7, -3, 0, 31
Determine j so that -2*j**3/5 - 76*j**2/5 + 78*j/5 = 0.
-39, 0, 1
Let u**3/7 + 10*u**2/7 + 16*u/7 = 0. Calculate u.
-8, -2, 0
Factor -2*m**3 - 84*m**2 - 160*m.
-2*m*(m + 2)*(m + 40)
Let -2*h**2/3 - 250*h/3 = 0. Calculate h.
-125, 0
Suppose 4*z**3 - 192*z**2/5 + 508*z/5 - 48 = 0. What is z?
3/5, 4, 5
Factor -15*y**2 - 1195*y + 400.
-5*(y + 80)*(3*y - 1)
What is x in 2*x**5/7 - 12*x**4 + 1276*x**3/7 - 7744*x**2/7 + 7986*x/7 + 58564/7 = 0?
-2, 11
Determine l, given that -7*l**4/5 - 8*l**3/5 + 7*l**2/5 + 8*l/5 = 0.
-8/7, -1, 0, 1
Find p such that 4*p**3 + 332*p**2 - 4*p - 332 = 0.
-83, -1, 1
Solve 4*w**5/3 - 76*w**4/3 - 92*w**3/3 + 220*w**2/3 + 392*w/3 + 160/3 = 0 for w.
-1, 2, 20
Let 7*y**3/3 - 9*y**2 + 8*y + 4/3 = 0. What is y?
-1/7, 2
Factor -20*h**2/13 + 22*h/13 - 2/13.
-2*(h - 1)*(10*h - 1)/13
Let -2*j**3 + 488*j**2 + 5590*j + 5100 = 0. Calculate j.
-10, -1, 255
Let 2*f**2/5 - 24*f/5 + 54/5 = 0. Calculate f.
3, 9
Let 4*r**3 - 924*r**2 + 53820*r - 52900 = 0. What is r?
1, 115
Factor -80*d**2/7 + 86*d/7 - 6/7.
-2*(d - 1)*(40*d - 3)/7
Factor -2*f**3 + 842*f**2 + 844*f.
-2*f*(f - 422)*(f + 1)
Factor -t**3/4 + 11*t**2/4 + 13*t/2.
-t*(t - 13)*(t + 2)/4
Factor a**3/3 - 10*a**2/3 + 29*a/3 - 20/3.
(a - 5)*(a - 4)*(a - 1)/3
Suppose 34*p**5 + 244*p**4/3 + 14*p**3/3 - 136*p**2/3 - 8*p/3 = 0. Calculate p.
-2, -1, -1/17, 0, 2/3
Factor 5*o**4 - 1090*o**3 - 2195*o**2 - 1100*o.
5*o*(o - 220)*(o + 1)**2
Find y such that 2*y**5/15 + 62*y**4/15 - 206*y**3/15 - 62*y**2/15 + 68*y/5 = 0.
-34, -1, 0, 1, 3
Determine x, given that -6*x**4/5 - 2382*x**3/5 - 1422*x**2 - 7098*x/5 - 2364/5 = 0.
-394, -1
Factor -5*m**2/4 + 465*m/2 + 935/4.
-5*(m - 187)*(m + 1)/4
Factor 8*v**4 - 2*v**3 - 96*v**2 + 152*v - 32.
2*(v - 2)**2*(v + 4)*(4*v - 1)
Solve -121*p**5/6 + 517*p**4/6 - 511*p**3/6 + 49*p**2/2 = 0 for p.
0, 7/11, 3
Solve -9*f**5 - 38*f**4 + f**3 + 38*f**2 + 8*f = 0.
-4, -1, -2/9, 0, 1
Factor -3*a**5/2 - 33*a**4/2 + 75*a**3/2 - 39*a**2/2.
-3*a**2*(a - 1)**2*(a + 13)/2
Find q, given that 2*q**2/13 - 1436*q/13 - 1438/13 = 0.
-1, 719
What is b in -2*b**2 - 70*b - 68 = 0?
-34, -1
Suppose 9*g**3/4 - 105*g**2/4 + 36*g + 15 = 0. Calculate g.
-1/3, 2, 10
Let -j**5 - 3*j**4 - 2*j**3 = 0. What is j?
-2, -1, 0
Factor -2*m**3/3 + 4*m**2/3 + 2*m/3 - 4/3.
-2*(m - 2)*(m - 1)*(m + 1)/3
Factor 3*l**3 - 48*l**2 - 813*l + 858.
3*(l - 26)*(l - 1)*(l + 11)
Factor -s**5 - 17*s**4 - 42*s**3 + 260*s**2 - 200*s.
-s*(s - 2)*(s - 1)*(s + 10)**2
Factor 3*m**5 - 9*m**4 - 6*m**3 + 36*m**2 - 24*m.
3*m*(m - 2)**2*(m - 1)*(m + 2)
Factor -5*v**2 - 1060*v + 4320.
-5*(v - 4)*(v + 216)
Let -15*s**2 - 3755*s + 2510 = 0. What is s?
-251