*4 - 25*t**3/4 + 21*t**2/2 - 9*t/4 = 0 for t.
0, 1/4, 3
Factor h**3 + 257*h**2 + 511*h + 255.
(h + 1)**2*(h + 255)
Solve b**2/6 + 1171*b/6 + 195 = 0.
-1170, -1
Suppose -25*f**4/2 - 1045*f**3/2 - 1387*f**2 - 862*f - 156 = 0. Calculate f.
-39, -2, -2/5
Factor 3*w**5 + 45*w**4 + 117*w**3 + 111*w**2 + 36*w.
3*w*(w + 1)**3*(w + 12)
Find v such that -2*v**2/5 + 276*v/5 + 278/5 = 0.
-1, 139
Factor -3*b**3 + 48*b**2 - 195*b + 150.
-3*(b - 10)*(b - 5)*(b - 1)
Solve -20*j**5/7 + 444*j**4/7 - 424*j**3 + 448*j**2 + 19968*j/7 - 4096/7 = 0.
-2, 1/5, 8
Solve 4*z**5 - 860*z**4 + 43996*z**3 + 242860*z**2 - 44000*z - 242000 = 0.
-5, -1, 1, 110
Factor 5*s**3 - 2740*s**2 + 5445*s + 8190.
5*(s - 546)*(s - 3)*(s + 1)
Suppose 80*g**4 - 680*g**3 + 1445*g**2 = 0. Calculate g.
0, 17/4
Determine w so that -5*w**4 - 20*w**3 - 15*w**2 + 20*w + 20 = 0.
-2, -1, 1
Factor 5812*l**2/5 + 4648*l - 32/5.
4*(l + 4)*(1453*l - 2)/5
Factor -g**4/4 + 3*g**3/2 - 3*g**2 + 5*g/2 - 3/4.
-(g - 3)*(g - 1)**3/4
Factor 133225*z**2/4 + 365*z + 1.
(365*z + 2)**2/4
Factor 5*a**2 + 85*a - 190.
5*(a - 2)*(a + 19)
Factor -w**3/2 - 15*w**2 - 83*w/2 - 27.
-(w + 1)*(w + 2)*(w + 27)/2
Suppose 2*i**4/11 - 20*i**3/11 + 32*i**2/11 = 0. Calculate i.
0, 2, 8
Factor -2*d**4 - 40*d**3 - 288*d**2 - 896*d - 1024.
-2*(d + 4)**3*(d + 8)
Find c, given that c**2 - 324*c = 0.
0, 324
Find i, given that 2*i**2/13 + 240*i/13 + 238/13 = 0.
-119, -1
Solve -2809*x**4/2 - 12773*x**3/6 - 591*x**2 + 128*x - 16/3 = 0 for x.
-1, -2/3, 4/53
Let 10*j**4 - 45*j**3 + 65*j**2 - 30*j = 0. What is j?
0, 1, 3/2, 2
Factor -63*c**2 + 1137*c + 786.
-3*(3*c + 2)*(7*c - 131)
Factor 3*n**4 - 10*n**3 - 23*n**2 - 10*n.
n*(n - 5)*(n + 1)*(3*n + 2)
Factor -y**4 + 23*y**3 - 80*y**2 + 76*y.
-y*(y - 19)*(y - 2)**2
Let 2*y**2/9 + 20*y/9 - 26/3 = 0. Calculate y.
-13, 3
Factor -t**4/6 + 122*t**3/3 + 123*t**2 + 370*t/3 + 247/6.
-(t - 247)*(t + 1)**3/6
Find c such that 5*c**3 - 365*c**2 + 6475*c + 6845 = 0.
-1, 37
Factor 3*q**5/8 - 3*q**4/2 - 3*q**3 + 15*q**2/4 + 69*q/8 + 15/4.
3*(q - 5)*(q - 2)*(q + 1)**3/8
Suppose -11*b**2/3 + 19*b/3 + 2 = 0. Calculate b.
-3/11, 2
Factor 6*p**3 + 10*p**2 - 348*p - 352.
2*(p + 1)*(p + 8)*(3*p - 22)
Solve -841*y**2/4 - 1305*y/2 - 2025/4 = 0 for y.
-45/29
Determine i, given that -3*i**4 + 12*i**3 - 9*i**2 - 12*i + 12 = 0.
-1, 1, 2
Suppose -144*i**5 + 1824*i**4 - 4420*i**3 - 8684*i**2 - 2492*i - 196 = 0. Calculate i.
-1, -1/6, 7
Factor -5*x**3 + 2790*x**2 - 383565*x - 1579220.
-5*(x - 281)**2*(x + 4)
Suppose -g**2 + 526*g - 1048 = 0. Calculate g.
2, 524
Factor 180*k**4 + 545*k**3 + 555*k**2 + 195*k + 5.
5*(k + 1)**3*(36*k + 1)
Factor c**5 + 64*c**4 + 1383*c**3 + 10520*c**2 + 9200*c.
c*(c + 1)*(c + 20)**2*(c + 23)
Factor g**5/5 + 9*g**4/5 - 3*g**3/5 - 29*g**2/5 - 18*g/5.
g*(g - 2)*(g + 1)**2*(g + 9)/5
Factor n**3/9 + 959*n**2/9 + 3824*n/9 + 3820/9.
(n + 2)**2*(n + 955)/9
Factor -t**5/6 + t**4/3 + 2*t**3/3 - 4*t**2/3.
-t**2*(t - 2)**2*(t + 2)/6
Find z, given that 8*z**4/9 - 2*z**3 - 20*z**2/9 + 2*z/3 = 0.
-1, 0, 1/4, 3
Suppose 4*s**2 + 5244*s = 0. Calculate s.
-1311, 0
Find x such that -x**2/2 - 431*x/2 - 215 = 0.
-430, -1
Suppose 10*r**4 - 146*r**3 - 60*r**2 = 0. What is r?
-2/5, 0, 15
Factor 9*y**3/5 + 3*y**2 - 6*y/5.
3*y*(y + 2)*(3*y - 1)/5
Factor p**4 - 11*p**3 - 25*p**2 - 13*p.
p*(p - 13)*(p + 1)**2
What is v in -4*v**2 + 124*v - 336 = 0?
3, 28
Factor -26*t**3/7 + 170*t**2/7 + 12*t.
-2*t*(t - 7)*(13*t + 6)/7
Factor u**3/7 - 17*u**2/7 + 16*u/7.
u*(u - 16)*(u - 1)/7
Factor -2*r**2/3 + 2554*r/3 + 2560.
-2*(r - 1280)*(r + 3)/3
Determine z, given that -2*z**2 + 362*z + 732 = 0.
-2, 183
Let 4*w**5/7 - 8*w**4/7 - 8*w**3/7 + 16*w**2/7 + 4*w/7 - 8/7 = 0. What is w?
-1, 1, 2
Find r, given that r**2 + 240*r + 14400 = 0.
-120
What is v in -2*v**3 - 12*v**2 + 8*v + 48 = 0?
-6, -2, 2
Factor 3*b**3 + 51*b**2 + 81*b - 135.
3*(b - 1)*(b + 3)*(b + 15)
Factor -t**5 + 87*t**4 - 2334*t**3 + 13330*t**2 + 152799*t + 268119.
-(t - 31)**3*(t + 3)**2
Factor 7*u**5 - 26*u**4 + 20*u**3 + 8*u**2.
u**2*(u - 2)**2*(7*u + 2)
Let 6*k**5/11 - 60*k**4/11 + 96*k**3/11 + 12*k**2/11 - 102*k/11 + 48/11 = 0. What is k?
-1, 1, 8
Factor f**2/6 - 145*f/3 - 97/2.
(f - 291)*(f + 1)/6
Factor -o**3 + 24*o**2 - 117*o + 162.
-(o - 18)*(o - 3)**2
Factor v**3 - 2*v**2 - 20*v - 24.
(v - 6)*(v + 2)**2
Factor 4*b**5/5 + 44*b**4/5 - 64*b**3/5 - 256*b**2.
4*b**2*(b - 5)*(b + 8)**2/5
Factor -3*q**3/8 - 21*q**2/4.
-3*q**2*(q + 14)/8
Factor 2*s**3 - 76*s**2 + 896*s - 3072.
2*(s - 16)**2*(s - 6)
What is w in -4*w**3 - 156*w**2 + 736*w + 2064 = 0?
-43, -2, 6
What is i in -3*i**2 - 63*i + 300 = 0?
-25, 4
Factor 3*i**5 - 609*i**4 - 1230*i**3 - 6*i**2 + 1227*i + 615.
3*(i - 205)*(i - 1)*(i + 1)**3
Factor -7*k**4 - 26*k**3 - 253*k**2/7 - 156*k/7 - 36/7.
-(k + 1)**2*(7*k + 6)**2/7
Find z such that -2*z**5/5 + 88*z**3/5 - 12*z**2 - 190*z + 300 = 0.
-5, 2, 3, 5
Factor 2*b**2/11 - 68*b/11 - 70/11.
2*(b - 35)*(b + 1)/11
Factor -5*q**3 - 30*q**2 - 60*q - 40.
-5*(q + 2)**3
Suppose -14*t**5/13 - 194*t**4/13 - 604*t**3/13 - 664*t**2/13 - 240*t/13 = 0. Calculate t.
-10, -2, -1, -6/7, 0
What is n in -4*n**3 - 124*n**2 = 0?
-31, 0
Factor -5*j**2/3 - 4*j - 4/3.
-(j + 2)*(5*j + 2)/3
Factor -i**4 - 22*i**3 - 89*i**2 - 68*i.
-i*(i + 1)*(i + 4)*(i + 17)
Solve 44521*n**4 - 42833*n**3 - 1672*n**2 - 16*n = 0.
-4/211, 0, 1
Solve 195*q**4 - 12865*q**3 - 330*q**2 = 0 for q.
-1/39, 0, 66
Find d, given that -2*d**4 - 109*d**3/2 - 23*d**2/2 + 109*d/2 + 27/2 = 0.
-27, -1, -1/4, 1
Find z such that 31*z**4 - 1955*z**3/3 - 1381*z**2 - 683*z + 46/3 = 0.
-1, 2/93, 23
Factor 2*n**2/11 - 1120*n/11 + 156800/11.
2*(n - 280)**2/11
Factor 4*b**2 - 120*b + 116.
4*(b - 29)*(b - 1)
Find g such that -16*g**5 + 1220*g**4 + 7568*g**3 - 1968*g**2 = 0.
-6, 0, 1/4, 82
Factor -2*m**2 + 16*m - 14.
-2*(m - 7)*(m - 1)
Factor -m**3/7 - 43*m**2/7 - 531*m/7 - 2025/7.
-(m + 9)**2*(m + 25)/7
Factor -2*b**3/17 - 46*b**2/17 - 40*b/17 + 88/17.
-2*(b - 1)*(b + 2)*(b + 22)/17
Suppose 3*j**5/2 - 23*j**4 + 3*j**3/2 + 92*j**2 - 30*j = 0. Calculate j.
-2, 0, 1/3, 2, 15
Let z**5/5 + 11*z**4/5 + 18*z**3/5 = 0. What is z?
-9, -2, 0
Factor 2*r**4 - 2*r**3 - 4*r**2.
2*r**2*(r - 2)*(r + 1)
Let -2*k**2 + 18 = 0. What is k?
-3, 3
Solve j**3/3 + 55*j**2/3 - 56*j/3 = 0.
-56, 0, 1
Let 3*x**3/7 - 60*x**2/7 - 363*x/7 - 300/7 = 0. What is x?
-4, -1, 25
Let 9*h**5 - 21*h**4 + 6*h**3 + 18*h**2 - 15*h + 3 = 0. What is h?
-1, 1/3, 1
Factor -5*o**2 + 295*o + 8910.
-5*(o - 81)*(o + 22)
Factor 2*g**3 + 94*g**2 - 2*g - 94.
2*(g - 1)*(g + 1)*(g + 47)
Determine a, given that a**2 - 76*a + 1444 = 0.
38
Factor -10*q**3 + 41*q**2/2 - q/2 - 1.
-(q - 2)*(4*q - 1)*(5*q + 1)/2
Suppose 4*b**3 - 36*b**2 - 48*b + 80 = 0. What is b?
-2, 1, 10
Let -12*m**3/5 + 5841*m**2/5 - 15963*m/5 - 4356/5 = 0. Calculate m.
-1/4, 3, 484
Factor -2*b**2/3 + 70*b.
-2*b*(b - 105)/3
Factor 3*q**2/5 + 879*q/5 - 882/5.
3*(q - 1)*(q + 294)/5
Solve -a**2/6 - 3*a = 0 for a.
-18, 0
Solve g**2/4 - 99*g/4 + 1035/2 = 0.
30, 69
Factor -l**2/5 + 3*l/5 + 54/5.
-(l - 9)*(l + 6)/5
Factor c**5 + 29*c**4 + 223*c**3 + 167*c**2 - 224*c - 196.
(c - 1)*(c + 1)**2*(c + 14)**2
Solve -3*x**2/5 + 1326*x/5 + 1329/5 = 0.
-1, 443
Factor -3*u**4 - 52*u**3 - 196*u**2/3 - 64*u/3.
-u*(u + 16)*(3*u + 2)**2/3
Factor 5*z**5 + 630*z**4 + 25125*z**3 + 257620*z**2 - 2294160*z + 3833280.
5*(z - 3)**2*(z + 44)**3
Factor -5322*j**2 + 5318*j + 4.
-2*(j - 1)*(2661*j + 2)
Factor a**3/4 + a**2/4 - 4*a - 4.
(a - 4)*(a + 1)*(a + 4)/4
Find c such that -2*c**5/5 + 2*c**4/5 + 6*c**3/5 - 2*c**2/5 - 4*c/5 = 0.
-1, 0, 1, 2
Suppose -2*l**3 - 1012*l**2 - 2018*l - 1008 = 0. Calculate l.
-504, -1
Factor j**2/9 - 275*j/9 + 182/3.
(j - 273)*(j - 2)/9
Determine v, given that v**4/3 - 9*v**3 + 49*v**2/3 + 9*v - 50/3 = 0.
-1, 1, 2, 25
Suppose -2*b**2/5 + 4784*b/5 - 2860832/5 = 0. Calculate b.
1196
Factor -r**5 - 70*r**4 + 290*r**3 - 440*r**2 + 295*r - 74.
-(r - 1)**4*(r + 74)
Factor s**3/3 + 19*s**2/3 + 112*s/3 + 64.
(s + 3)*(s + 8)**2/3
Factor -4*o**2/7 + 184*o/7 - 2116/7.
-4*(o - 23)**2/7
Factor 4*f**3 - 576*f**2 + 27648*f - 442368.
4*(f - 48)**3
Suppose -w**4 + 520*w**3 + w**2 - 520*w = 0. What is w?
-1, 0, 1, 520
Factor -f**2/8 + 3*f/4.
-f*(f - 6)/8
Let 4*i**2/5 + 243*i/5 + 94 = 0. Calculate i.
-235/4, -2
Factor 4*s**3 - 452*s**2 + 892*s - 444.
4*(s 