.
2, 813
What is q in -4*q**3/5 + 16*q**2/5 + 48*q/5 = 0?
-2, 0, 6
Let -4*o**5 + 28*o**4 - 8*o**3 - 112*o**2 + 96*o = 0. What is o?
-2, 0, 1, 2, 6
Determine p, given that 2*p**2 + 28*p + 48 = 0.
-12, -2
Factor -20*r**3/3 + 1282*r**2/3 - 20608*r/3 + 2048/3.
-2*(r - 32)**2*(10*r - 1)/3
Determine b so that 31*b**3 + 33*b**2 - 60*b - 4 = 0.
-2, -2/31, 1
Factor -3*k**2/2 + 561*k.
-3*k*(k - 374)/2
Let 2*w**2/9 - 2716*w/9 + 2714/9 = 0. What is w?
1, 1357
Find f such that -15*f**2 - 380*f + 260 = 0.
-26, 2/3
Factor -3*x**2/5 + 6*x + 45.
-3*(x - 15)*(x + 5)/5
Solve y**5/6 + y**4/3 - y**2/3 - y/6 = 0 for y.
-1, 0, 1
Suppose 4*v**2/3 - 26*v - 40/3 = 0. What is v?
-1/2, 20
Let -5*h**2 - 400*h - 8000 = 0. What is h?
-40
Factor -5*l**2 + 280*l - 1920.
-5*(l - 48)*(l - 8)
Factor -5*u**3 - 45*u**2 + 200*u + 240.
-5*(u - 4)*(u + 1)*(u + 12)
Suppose 30*y**3 + 185*y**2 + 300*y + 45 = 0. What is y?
-3, -1/6
Suppose -v**2/3 + 551*v/3 - 366 = 0. What is v?
2, 549
Let -w**2/2 + 93*w/2 + 47 = 0. Calculate w.
-1, 94
Factor 5*w**2 + 65*w - 570.
5*(w - 6)*(w + 19)
Let -3*w**5 - 113*w**4 - 899*w**3 - 2527*w**2 - 2578*w - 840 = 0. What is w?
-28, -5, -3, -1, -2/3
Suppose -2*r**3/7 - 48*r**2/7 = 0. Calculate r.
-24, 0
Factor -3*i**2/2 - 69*i/2 + 75.
-3*(i - 2)*(i + 25)/2
Factor -4*z**3 + 252*z**2 + 1384*z - 1632.
-4*(z - 68)*(z - 1)*(z + 6)
Suppose 5*t**5 - 100*t**4 + 420*t**3 - 710*t**2 + 535*t - 150 = 0. Calculate t.
1, 2, 15
Suppose 3*w**2/2 + 60*w + 117/2 = 0. Calculate w.
-39, -1
Let -2*s**3/9 - 20*s**2/9 - 34*s/9 - 16/9 = 0. Calculate s.
-8, -1
Factor 2*x**4/13 + 4*x**3/13 - 38*x**2/13 - 40*x/13.
2*x*(x - 4)*(x + 1)*(x + 5)/13
Let 3*c**3/5 + 21*c**2/5 - 48*c/5 - 336/5 = 0. What is c?
-7, -4, 4
Factor k**5 - 3*k**4 + k**3 + 3*k**2 - 2*k.
k*(k - 2)*(k - 1)**2*(k + 1)
Solve 30*m**5 + 27*m**4 - 249*m**3 - 342*m**2 + 84*m + 72 = 0 for m.
-2, -2/5, 1/2, 3
Find w, given that 6*w**4 + 3*w**3 - 9*w**2 = 0.
-3/2, 0, 1
Solve -2*f**3 + 300*f**2 - 592*f = 0 for f.
0, 2, 148
Suppose i**4/10 + 29*i**3/5 + 167*i**2/10 + 11*i = 0. What is i?
-55, -2, -1, 0
Factor 2*t**2/9 + 142*t/3 + 424/9.
2*(t + 1)*(t + 212)/9
Find z such that -4*z**3 - 12*z**2 + 144*z - 128 = 0.
-8, 1, 4
Factor 4*o**2 + 188*o - 192.
4*(o - 1)*(o + 48)
Factor 5*h**4/6 + 55*h**3/6 + 45*h**2/2 + 125*h/6 + 20/3.
5*(h + 1)**3*(h + 8)/6
Determine j so that -4*j**2 - 4244*j - 4240 = 0.
-1060, -1
What is b in 5*b**5/4 + 85*b**4/4 + 155*b**3/2 - 245*b**2/2 - 315*b/4 + 405/4 = 0?
-9, -1, 1
Factor -4*q**2 - 392*q.
-4*q*(q + 98)
Factor c**2 + 144*c.
c*(c + 144)
Factor -123*s**2/5 - 372*s/5 - 9/5.
-3*(s + 3)*(41*s + 1)/5
Determine s, given that 2*s**5/13 + 84*s**4/13 - 36*s**3 + 136*s**2/13 + 1938*s/13 - 1692/13 = 0.
-47, -2, 1, 3
Solve -2*f**5/7 - 6*f**4/7 + 46*f**3/7 - 66*f**2/7 + 4*f = 0 for f.
-7, 0, 1, 2
Factor -2*a**3 + 244*a**2 - 242*a.
-2*a*(a - 121)*(a - 1)
Solve -15*z**3/8 + 21*z**2/4 - 27*z/8 = 0 for z.
0, 1, 9/5
Find f such that -f**3/9 - 61*f**2/3 - 542*f/9 - 40 = 0.
-180, -2, -1
Factor 3*f**2/5 + 42*f/5 - 9.
3*(f - 1)*(f + 15)/5
Let -2*a**5/13 - 8*a**4/13 + 38*a**3/13 - 28*a**2/13 = 0. What is a?
-7, 0, 1, 2
Solve -4*x**5/5 - 736*x**4/5 - 9077*x**3 - 952759*x**2/5 - 919087*x/5 - 226981/5 = 0.
-61, -1/2
Find g, given that -g**4/5 - 4*g**3/5 + 4*g**2/5 + 16*g/5 = 0.
-4, -2, 0, 2
Suppose 36*i**4 + 48*i**3 - 8*i**2 - 16*i + 4 = 0. What is i?
-1, 1/3
Solve 2*f**5/11 - 654*f**4/11 - 6*f**3/11 + 178*f**2 + 1308*f/11 = 0.
-1, 0, 2, 327
Factor -5*y**2 + 55*y - 140.
-5*(y - 7)*(y - 4)
Factor -4*d**2 + 1044*d - 1040.
-4*(d - 260)*(d - 1)
Suppose -3*p**4/8 + 21*p**3/8 - 45*p**2/8 + 39*p/8 - 3/2 = 0. Calculate p.
1, 4
Factor 3*g**2/5 - 1167*g/5 - 1182.
3*(g - 394)*(g + 5)/5
Factor -148*k**3 - 2660*k**2 + 2884*k - 76.
-4*(k - 1)*(k + 19)*(37*k - 1)
Factor r**4/7 + 27*r**3/7 + 26*r**2/7.
r**2*(r + 1)*(r + 26)/7
Suppose -9604*k**5 + 48804*k**4 - 23144*k**3 - 75184*k**2 + 6240*k - 128 = 0. What is k?
-1, 2/49, 2, 4
Determine m, given that -14*m**5/5 - 74*m**4/5 + 358*m**3/5 + 1522*m**2/5 + 1384*m/5 + 56 = 0.
-7, -2, -1, -2/7, 5
Factor 5*x**4 + 3490*x**3 - 7020*x**2 - 13960*x + 28000.
5*(x - 2)**2*(x + 2)*(x + 700)
Solve 40*y**4 + 214*y**3 - 792*y**2 + 440*y - 64 = 0 for y.
-8, 1/4, 2/5, 2
What is v in -2*v**4/13 + 20*v**3/13 + 22*v**2/13 = 0?
-1, 0, 11
Factor c**3/5 - 2*c**2 - 24*c/5.
c*(c - 12)*(c + 2)/5
Find y such that -70*y**5/13 - 358*y**4/13 + 38*y**3/13 + 398*y**2/13 + 32*y/13 - 40/13 = 0.
-5, -1, -2/5, 2/7, 1
Factor 3*s**2 - 30*s - 513.
3*(s - 19)*(s + 9)
Let 4*c**2 - 11064*c - 22144 = 0. Calculate c.
-2, 2768
Let -b**4 - 46*b**3 - 480*b**2 + 1152*b = 0. Calculate b.
-24, 0, 2
Find h, given that 2*h**3/11 + 386*h**2/11 + 18032*h/11 - 57624/11 = 0.
-98, 3
Factor 2*x**5 - 1538*x**4 + 393212*x**3 - 33158140*x**2 - 67502078*x - 33949186.
2*(x - 257)**3*(x + 1)**2
Factor 2*l**3/11 - 1074*l**2 + 17452230*l/11 - 17440418/11.
2*(l - 2953)**2*(l - 1)/11
Let 4*u**4 - 80*u**3 + 308*u**2 + 968*u = 0. Calculate u.
-2, 0, 11
Let r**5/2 - 21*r**4/4 + 16*r**3 - 63*r**2/4 + 9*r/2 = 0. Calculate r.
0, 1/2, 1, 3, 6
What is u in -u**4/5 + 2*u**2/5 - 1/5 = 0?
-1, 1
Factor 5*s**3 + 495*s**2 + 12000*s - 12500.
5*(s - 1)*(s + 50)**2
Determine r, given that -2*r**4/7 - 20*r**3/7 - 30*r**2/7 + 20*r/7 + 32/7 = 0.
-8, -2, -1, 1
Solve 2*x**5 - 32*x**4 + 170*x**3 - 300*x**2 - 72*x + 432 = 0 for x.
-1, 2, 3, 6
Factor -2*x**3/15 + 6*x**2/5.
-2*x**2*(x - 9)/15
Find a such that 2*a**3/5 + 64*a**2/5 + 214*a/5 - 56 = 0.
-28, -5, 1
Factor 2*q**2/15 - 52*q/5 - 166/3.
2*(q - 83)*(q + 5)/15
Determine z, given that z**4/4 - 23*z**3 + 1011*z**2/2 + 1081*z + 2209/4 = 0.
-1, 47
Solve 3*x**5/2 + 27*x**4/2 + 39*x**3 + 27*x**2 - 81*x/2 - 81/2 = 0.
-3, -1, 1
Factor -k**3 - 82*k**2 + 171*k + 252.
-(k - 3)*(k + 1)*(k + 84)
Factor -5*x**3 + 630*x**2 + 1925*x + 1290.
-5*(x - 129)*(x + 1)*(x + 2)
Find q, given that 5*q**2 + 5510*q + 1518005 = 0.
-551
Let l**4/2 - 3*l**3 + 3*l**2/2 + 5*l = 0. Calculate l.
-1, 0, 2, 5
Find z, given that 3*z**4/5 + 4329*z**3/5 + 2082249*z**2/5 + 333853923*z/5 = 0.
-481, 0
Determine f so that f**2 + 4*f + 3 = 0.
-3, -1
Factor l**2 + 35*l - 450.
(l - 10)*(l + 45)
Factor -q**3/8 + 109*q**2/8 + 221*q/8 + 111/8.
-(q - 111)*(q + 1)**2/8
Suppose 2*f**4 = 0. What is f?
0
Factor -3*j**3/5 - 63*j**2/5 - 357*j/5 - 117.
-3*(j + 3)*(j + 5)*(j + 13)/5
Determine g, given that -3*g**2 - 54*g - 195 = 0.
-13, -5
Factor -u**5 - 32*u**4 - 352*u**3 - 1360*u**2 + 400*u + 8000.
-(u - 2)*(u + 4)*(u + 10)**3
Suppose 2*m**2/11 + 102*m/11 - 104/11 = 0. What is m?
-52, 1
Factor f**4/7 - 10*f**3/7 + 33*f**2/7 - 36*f/7.
f*(f - 4)*(f - 3)**2/7
Factor 3*b**2 + 150*b - 825.
3*(b - 5)*(b + 55)
What is r in 2*r**3 - 21*r**2/2 + 18*r - 10 = 0?
5/4, 2
Factor 4*b**3/13 - 6*b**2/13 - 16*b/13 - 6/13.
2*(b - 3)*(b + 1)*(2*b + 1)/13
Solve 4*s**2/3 + 232*s/3 - 420 = 0 for s.
-63, 5
Find p such that -5*p**2 + 1285*p - 1280 = 0.
1, 256
Suppose 4*m**2 + 928*m + 924 = 0. Calculate m.
-231, -1
Let 3*d**4 - 69*d**3 - 315*d**2 - 243*d = 0. Calculate d.
-3, -1, 0, 27
Determine k, given that k**5/4 - 5*k**4/4 + k**3/4 + 13*k**2/4 - k/2 - 2 = 0.
-1, 1, 2, 4
Factor 2*x**2/3 + 150*x.
2*x*(x + 225)/3
What is i in -6*i**4/5 + 27*i**3/5 - 27*i**2/5 - 3*i/5 + 9/5 = 0?
-1/2, 1, 3
Factor -2*i**2 - 42*i - 40.
-2*(i + 1)*(i + 20)
Factor u**5 - 16*u**4 + 46*u**3 + 144*u**2 + 81*u.
u*(u - 9)**2*(u + 1)**2
Factor u**2/2 - 5*u/2 - 7.
(u - 7)*(u + 2)/2
Find k such that -k**3/2 + 335*k**2/2 + 847*k + 1020 = 0.
-3, -2, 340
Factor 3*u**4 - 15*u**3 - 3*u**2 + 15*u.
3*u*(u - 5)*(u - 1)*(u + 1)
Find j, given that 45*j**3 - 7620*j**2 - 5095*j - 850 = 0.
-1/3, 170
Factor f**5 + 2*f**4/5 - 6*f**3 - 52*f**2/5 - 31*f/5 - 6/5.
(f - 3)*(f + 1)**3*(5*f + 2)/5
Factor -v**3 - 176*v**2 - 7565*v + 15842.
-(v - 2)*(v + 89)**2
Determine d so that d**2 + 316*d + 24964 = 0.
-158
Solve r**2/6 - 239*r/6 - 241/3 = 0.
-2, 241
Let -3*d**3/4 + 6*d**2 + 33*d + 36 = 0. What is d?
-2, 12
Let 54*c**5 - 1596*c**4 - 760*c**3 + 1200*c**2 = 0. What is c?
-10/9, 0, 2/3, 30
Determine w so that -70*w**5/3 - 1072*w**4/3 + 6080*w**3/3 - 9376*w**2/3 + 4448*w/3 - 640/3 = 0.
-20, 2/7, 2/5, 2
Factor 5*v**2 - 55*v.
5*v*(v - 11)
Factor 2*p**5 + 10*p**4 + 6*p**3 - 18*p**2.
2*p**2*(p - 1)*(p + 3)**2
Find z such that 3*z**4 - 3*z**3 - 21*z**2 + 3*z + 18 