-7, 0
Factor 2*j**3/5 - 116*j**2 + 8410*j.
2*j*(j - 145)**2/5
Suppose 2*r**4 - 38*r**3 + 34*r**2 + 38*r - 36 = 0. What is r?
-1, 1, 18
Find h such that -3*h**5 - 279*h**4 - 8649*h**3 - 89373*h**2 = 0.
-31, 0
Factor -2*t**4/21 - 16*t**3/21 - 40*t**2/21 - 32*t/21.
-2*t*(t + 2)**2*(t + 4)/21
Find a, given that -5*a**5 - 810*a**4 - 795*a**3 + 1610*a**2 = 0.
-161, -2, 0, 1
Suppose -4*t**5/9 - 10*t**4/3 - 44*t**3/9 + 136*t**2/9 + 48*t + 320/9 = 0. What is t?
-4, -2, 5/2
Factor o**2 + 218*o.
o*(o + 218)
Factor -2*d**2/9 + 60*d - 4050.
-2*(d - 135)**2/9
Let -5*x**5 - 40*x**4 + 40*x**3 + 410*x**2 - 755*x + 350 = 0. Calculate x.
-7, -5, 1, 2
Determine u so that 2*u**3/9 - 280*u**2/9 + 8906*u/9 + 21316/3 = 0.
-6, 73
What is o in 2*o**2/5 + 2176*o/5 + 4344/5 = 0?
-1086, -2
Determine q so that -2*q**2 - 300*q + 918 = 0.
-153, 3
Let -3*w**3 + 702*w**2 - 2772*w + 2760 = 0. Calculate w.
2, 230
Factor 4*x**2/7 + 188*x/7 - 56.
4*(x - 2)*(x + 49)/7
Solve 24*d**4/7 + 18*d**3 + 123*d**2/7 + 9*d/7 - 12/7 = 0.
-4, -1, -1/2, 1/4
Suppose 2*c**3/5 - 2*c**2/5 - 12*c/5 = 0. What is c?
-2, 0, 3
Factor p**5/7 - 50*p**4/7 + 960*p**3/7 - 8640*p**2/7 + 34560*p/7 - 41472/7.
(p - 12)**4*(p - 2)/7
Find j, given that -2*j**2/3 + 3440*j - 4437600 = 0.
2580
Find k, given that 4*k**3 - 68*k**2 - 672*k = 0.
-7, 0, 24
Find h, given that h**4/6 + h**3/2 = 0.
-3, 0
Let 60*d**5 - 219*d**4 + 63*d**3 + 201*d**2 - 123*d + 18 = 0. What is d?
-1, 1/4, 2/5, 1, 3
Find a, given that -a**4 - 379*a**3 - 35720*a**2 + 36100*a = 0.
-190, 0, 1
Suppose -3*d**2 - 744*d - 46128 = 0. Calculate d.
-124
Factor 2*o**4 - 18*o**3 + 6*o**2 + 74*o + 48.
2*(o - 8)*(o - 3)*(o + 1)**2
Factor -y**2/3 + 166*y/3 - 6889/3.
-(y - 83)**2/3
Let 6*a**2/5 + 1782*a = 0. Calculate a.
-1485, 0
Factor 2*r**3/7 - 16*r**2/7 - 30*r.
2*r*(r - 15)*(r + 7)/7
Factor -j**3/8 - 3*j**2/2 - 23*j/8 + 9/2.
-(j - 1)*(j + 4)*(j + 9)/8
Let -4*u**4 - 26*u**3 - 60*u**2 - 58*u - 20 = 0. What is u?
-5/2, -2, -1
Determine w, given that 9*w**5/5 - 66*w**4/5 - 206*w**3/5 + 1664*w**2/5 - 95*w - 70 = 0.
-5, -1/3, 2/3, 5, 7
Find d, given that -5*d**3/4 - 65*d**2/4 - 275*d/4 - 375/4 = 0.
-5, -3
Suppose -2*n**4/9 - 38*n**3/9 - 4*n**2 = 0. What is n?
-18, -1, 0
Determine z so that -z**4 + 34*z**3 - 273*z**2 = 0.
0, 13, 21
Factor 5*r**5 - 40*r**4 + 115*r**3 - 140*r**2 + 60*r.
5*r*(r - 3)*(r - 2)**2*(r - 1)
Suppose -90*r**4 - 3776*r**3 + 1616*r**2/9 + 4352*r/9 - 224/3 = 0. Calculate r.
-42, -2/5, 2/9
Factor 2*i**2/7 + 6*i - 200/7.
2*(i - 4)*(i + 25)/7
What is n in -12*n**5 + 28*n**4 + 148*n**3 - 220*n**2 - 232*n + 96 = 0?
-3, -1, 1/3, 2, 4
Factor 2*x**2/9 + 1978*x/9 + 1316/3.
2*(x + 2)*(x + 987)/9
Solve -12*m**3 + 27*m**2 - 6*m = 0.
0, 1/4, 2
Suppose -4*i**2 - 8*i - 4 = 0. Calculate i.
-1
Factor -4*z**4 - 4*z**3 + 12*z**2 + 20*z + 8.
-4*(z - 2)*(z + 1)**3
Solve -4*x**4 - 5276*x**3 - 15804*x**2 - 15796*x - 5264 = 0 for x.
-1316, -1
Determine a so that -a**5/5 + 2*a**4/5 + 8*a**3/5 = 0.
-2, 0, 4
Determine j, given that 16*j**5 - 52*j**4 - 68*j**3 + 68*j**2 + 52*j - 16 = 0.
-1, 1/4, 1, 4
Determine g so that -4*g**2 - 76*g + 80 = 0.
-20, 1
Factor -p**5/3 - 70*p**4/3 + 143*p**3/3 - 24*p**2.
-p**2*(p - 1)**2*(p + 72)/3
Factor -2*h**3 - 6*h**2 + 20*h.
-2*h*(h - 2)*(h + 5)
Find p such that 2*p**4 - 42*p**3 - 48*p**2 + 88*p = 0.
-2, 0, 1, 22
Find d such that -2*d**4 + 14*d**3 + 14*d**2 - 86*d - 84 = 0.
-2, -1, 3, 7
Suppose -h**5/5 - 12*h**4/5 - 6*h**3 - 28*h**2/5 - 9*h/5 = 0. What is h?
-9, -1, 0
Factor -3*j**5 - 15*j**4 + 63*j**3 - 69*j**2 + 24*j.
-3*j*(j - 1)**3*(j + 8)
Determine p so that 6*p**4 - 81*p**3 - 45*p**2 + 42*p = 0.
-1, 0, 1/2, 14
Factor -5*q**3 + 1615*q**2 - 6380*q.
-5*q*(q - 319)*(q - 4)
Find x, given that 21*x**4 - 69*x**3 - 108*x**2 + 204*x - 48 = 0.
-2, 2/7, 1, 4
Factor 3*g**4/2 + 1491*g**3/2 + 93000*g**2 + 92256*g.
3*g*(g + 1)*(g + 248)**2/2
Find x, given that x**3/5 + 87*x**2/5 + 99*x + 729/5 = 0.
-81, -3
Factor -u**2/4 + 33*u/4 - 8.
-(u - 32)*(u - 1)/4
Determine q so that 5*q**2 - 55*q - 60 = 0.
-1, 12
Find o, given that o**2/4 - 87*o/4 - 91 = 0.
-4, 91
What is z in 3*z**2 + 186*z + 183 = 0?
-61, -1
Factor 2*c**2 - 36*c - 896.
2*(c - 32)*(c + 14)
Determine z so that z**3 - 26*z**2 + 49*z - 24 = 0.
1, 24
Factor 3*a**4 - 78*a**3 + 144*a**2.
3*a**2*(a - 24)*(a - 2)
Factor -2*q**2 - 12*q + 32.
-2*(q - 2)*(q + 8)
Determine o, given that 5*o**3 - 85*o**2 + 400*o - 320 = 0.
1, 8
Factor 3*r**3 + 17*r**2 - 8*r - 12.
(r - 1)*(r + 6)*(3*r + 2)
Factor 2*q**2/3 - 184*q/3 - 62.
2*(q - 93)*(q + 1)/3
Solve 5*i**4 + 60*i**3 + 240*i**2 + 400*i + 240 = 0.
-6, -2
Factor a**4/2 - 5*a**3 + 33*a**2/2 - 22*a + 10.
(a - 5)*(a - 2)**2*(a - 1)/2
Solve -361*d**4/3 - 4408*d**3/3 - 4517*d**2 - 2708*d/3 - 140/3 = 0.
-7, -5, -2/19
Factor 3*a**4/4 + 29*a**3/4 - 8*a**2.
a**2*(a - 1)*(3*a + 32)/4
Factor -5*i**3 + 185*i - 420.
-5*(i - 4)*(i - 3)*(i + 7)
Find j such that 50*j**3/3 + 920*j**2/3 + 4232*j/3 = 0.
-46/5, 0
Solve -8*t**3/9 - 148*t**2/9 - 56*t/3 + 68 = 0 for t.
-17, -3, 3/2
What is o in 3*o**2/7 + 144*o/7 + 276/7 = 0?
-46, -2
Let 22*c**3/5 + 69*c**2/10 + 19*c/10 - 3/5 = 0. What is c?
-1, -3/4, 2/11
Solve 588*l**5 + 1064*l**4 - 25344*l**3 + 28792*l**2 - 11148*l + 1440 = 0 for l.
-8, 1/3, 3/7, 5
Let p**3/3 - 52*p**2/3 - 229*p/3 + 280/3 = 0. What is p?
-5, 1, 56
Let 2*m**5/3 + 676*m**4/9 + 19264*m**3/9 + 12544*m**2/9 = 0. What is m?
-56, -2/3, 0
Factor -12*o**3 - 16*o**2 + 68*o + 24.
-4*(o - 2)*(o + 3)*(3*o + 1)
Factor 4*o**4 + 40*o**3 + 100*o**2.
4*o**2*(o + 5)**2
Determine x so that -3*x**3 - 189*x**2 - 3069*x - 2883 = 0.
-31, -1
Factor 5*h**4 - 35*h**3 + 65*h**2 + 15*h - 90.
5*(h - 3)**2*(h - 2)*(h + 1)
Determine j, given that -j**5 - j**4 + 18*j**3 + 16*j**2 - 32*j = 0.
-4, -2, 0, 1, 4
Solve v**3/5 + 9*v**2/5 - v/5 - 9/5 = 0.
-9, -1, 1
Let 20*f**5 + 125*f**4 - 30*f**3 - 335*f**2 + 160*f + 60 = 0. What is f?
-6, -2, -1/4, 1
Factor -5*m**2/2 + 25*m/2 - 15.
-5*(m - 3)*(m - 2)/2
Factor 5*j**4/7 - 29*j**3/7 + 55*j**2/7 - 43*j/7 + 12/7.
(j - 3)*(j - 1)**2*(5*j - 4)/7
Suppose 4*f**3 + 900*f**2 - 5508*f + 8316 = 0. Calculate f.
-231, 3
Solve -4*m**5/7 - 4*m**4/7 + 40*m**3/7 - 32*m**2/7 = 0.
-4, 0, 1, 2
Factor 7025*c**2 - 7035*c + 10.
5*(c - 1)*(1405*c - 2)
Factor -d**3 - 16*d**2 - 68*d - 80.
-(d + 2)*(d + 4)*(d + 10)
Factor h**2 - 958*h + 229441.
(h - 479)**2
Solve c**4 + 25*c**3 + 150*c**2 = 0.
-15, -10, 0
Factor v**4/9 - 3*v**3.
v**3*(v - 27)/9
Find g, given that 2*g**4 + 6*g**3 - 2*g**2 - 6*g = 0.
-3, -1, 0, 1
Let v**2 + 47*v = 0. Calculate v.
-47, 0
Solve 5*k**3 + 10*k**2 - 35*k + 20 = 0.
-4, 1
Factor s**5 + 2*s**4 - 2*s**3 - 4*s**2 + s + 2.
(s - 1)**2*(s + 1)**2*(s + 2)
Factor d**5 + 2*d**4 - d**3 - 2*d**2.
d**2*(d - 1)*(d + 1)*(d + 2)
Find j such that -2*j**4/3 + 26*j**3/3 - 193*j**2/6 + 26*j - 6 = 0.
1/2, 6
What is x in -9*x**2 + 696*x - 231 = 0?
1/3, 77
Factor -5*f**3 + 110*f**2 - 455*f + 510.
-5*(f - 17)*(f - 3)*(f - 2)
Factor 2*s**4/9 - 2*s**2/3 - 4*s/9.
2*s*(s - 2)*(s + 1)**2/9
Determine j so that 8*j**3 - 20*j**2 + 8*j = 0.
0, 1/2, 2
Suppose -2*r**3/5 + 8*r**2/5 - 2*r/5 - 12/5 = 0. Calculate r.
-1, 2, 3
Find x, given that 600*x**4/11 - 4440*x**3/11 + 234*x**2 + 20868*x/11 + 13254/11 = 0.
-1, 47/10
Factor -s**3/3 - 19*s**2/6 - 37*s/6 - 7/3.
-(s + 2)*(s + 7)*(2*s + 1)/6
Factor 2*f**3/9 + 28*f**2/3 - 278*f/9 - 40.
2*(f - 4)*(f + 1)*(f + 45)/9
Factor 2*u**2 - 72*u + 198.
2*(u - 33)*(u - 3)
Determine r, given that -3*r**2/7 - 69*r/7 = 0.
-23, 0
Find l such that -12*l**4 + 62*l**3 - 20*l**2 - 134*l - 40 = 0.
-1, -1/3, 5/2, 4
Factor s**4/6 + 7*s**3/3 + 35*s**2/6 - 25*s/3.
s*(s - 1)*(s + 5)*(s + 10)/6
Suppose 3*f**5 + 33*f**4 + 66*f**3 - 180*f**2 - 216*f = 0. Calculate f.
-6, -1, 0, 2
Let 3*g**2 + 9*g - 12 = 0. Calculate g.
-4, 1
Factor 2*z**3 + 24*z**2 - 158*z + 204.
2*(z - 3)*(z - 2)*(z + 17)
Factor -2*y**3/3 + 70*y**2/3 - 224*y + 360.
-2*(y - 18)*(y - 15)*(y - 2)/3
Factor 4*z**4 + 44*z**3 - 252*z**2 - 108*z + 1080.
4*(z - 3)**2*(z + 2)*(z + 15)
Solve 275*r**2/2 - 19*r - 8 = 0.
-2/11, 8/25
Solve 3*p**4/7 - 18*p**3/7 + 15*p**2/7 = 0.
0, 1, 5
Factor -2*d**3/11 - 60*d**2/11 + 8*d/11 + 240/11.
-2*(d - 2)*(d + 2)*(d + 30)/11
Factor f**2/10 + 17*f/10 + 8/5.
(f + 1)*(f + 16)/10
Factor a**4 + 6*a**3 + 12*a**2 + 10*a + 3.
(a + 1)**3*(a + 3)
Factor -l**4/7 - 2*l**3 - 48*l**2/7 