)/3
Solve i**2/3 + 105*i - 642 = 0.
-321, 6
Suppose 3*i**3/8 + 27*i**2/4 + 135*i/8 = 0. What is i?
-15, -3, 0
Find x such that 21*x**2 - 1254*x - 360 = 0.
-2/7, 60
Suppose 4*x**5 - 28*x**4 - 32*x**3 = 0. What is x?
-1, 0, 8
Factor 2*f**2 + 10988*f + 15092018.
2*(f + 2747)**2
Factor -d**4 - 200*d**3.
-d**3*(d + 200)
Find j, given that 128*j**3/7 - 18784*j**2/21 + 235846*j/21 - 148996/21 = 0.
2/3, 193/8
Factor 2*t**5 - 1076*t**4 + 192240*t**3 - 11275200*t**2 - 23328000*t.
2*t*(t - 180)**3*(t + 2)
Factor o**3/2 - 229*o**2 + 51513*o/2 + 106722.
(o - 231)**2*(o + 4)/2
Factor -2*i**4/13 + 30*i**3/13 + 378*i**2/13 + 1242*i/13 + 1296/13.
-2*(i - 24)*(i + 3)**3/13
Find m, given that 5*m**2 + 40*m = 0.
-8, 0
Determine s so that s**5/2 + s**4/2 - 9*s**3 + 7*s**2 + 17*s/2 - 15/2 = 0.
-5, -1, 1, 3
Factor 3*j**2 + 9*j.
3*j*(j + 3)
Suppose -j**2/3 - 10*j/3 - 8 = 0. What is j?
-6, -4
What is q in 4*q**5 - 36*q**4 + 28*q**3 + 36*q**2 - 32*q = 0?
-1, 0, 1, 8
Solve -16*u**3 - 2140*u**2 - 71288*u + 17956 = 0 for u.
-67, 1/4
Determine l so that -4*l**4 - 800*l**3 + 5816*l**2 + 3840*l - 62100 = 0.
-207, -3, 5
Find b, given that -18769*b**2 + 274*b - 1 = 0.
1/137
Find n such that -3*n**2/5 + 204*n/5 - 396/5 = 0.
2, 66
Determine k, given that -k**2 - 13*k - 40 = 0.
-8, -5
What is s in -36*s**5 - 128*s**4 + 216*s**3 + 1056*s**2 + 1132*s + 384 = 0?
-32/9, -1, 3
Factor s**3/6 - 5*s**2/3 + 16*s/3 - 16/3.
(s - 4)**2*(s - 2)/6
Solve s**5/3 + 32*s**4/3 + 61*s**3/3 + 10*s**2 = 0.
-30, -1, 0
What is u in u**4 - 16*u**3 + 46*u**2 + 144*u + 81 = 0?
-1, 9
What is s in -10*s**3/9 + 26*s**2/9 + 52*s/9 + 16/9 = 0?
-1, -2/5, 4
Factor 2*x**3/3 + 164*x**2/3 + 3262*x/3 + 3100/3.
2*(x + 1)*(x + 31)*(x + 50)/3
What is v in 5*v**5 - 5*v**4 - 200*v**3 - 580*v**2 - 480*v = 0?
-3, -2, 0, 8
Factor 3*u**3/4 - 2*u**2 - 3*u/4.
u*(u - 3)*(3*u + 1)/4
Solve -4*b**5 + 52*b**4 - 248*b**3 + 536*b**2 - 516*b + 180 = 0.
1, 3, 5
Solve 165*q**3 - 650*q**2 - 865*q - 50 = 0.
-1, -2/33, 5
Determine x, given that -x**4/4 + 3*x**3/4 + x**2 = 0.
-1, 0, 4
Factor 3*c**5 + 24*c**4 - 33*c**3 - 54*c**2.
3*c**2*(c - 2)*(c + 1)*(c + 9)
Find h such that h**3/6 + 4*h**2/3 - 2*h/3 - 16/3 = 0.
-8, -2, 2
Suppose 2*y**4/3 + 3*y**3 - 61*y**2/3 - 12*y + 32/3 = 0. Calculate y.
-8, -1, 1/2, 4
Solve -6*x**4/5 + 4*x**3 - 18*x**2/5 + 4*x/5 = 0.
0, 1/3, 1, 2
Determine c so that c**2/2 + 3*c/2 + 1 = 0.
-2, -1
Factor 8*u**3/3 + 41*u**2/3 + 5*u/3.
u*(u + 5)*(8*u + 1)/3
Factor -2*g**3/9 - 130*g**2/3 - 86*g - 386/9.
-2*(g + 1)**2*(g + 193)/9
Let o**2 + 6*o/5 = 0. What is o?
-6/5, 0
Solve 1444*q**4 - 7144*q**3/7 + 1664*q**2/7 - 128*q/7 = 0 for q.
0, 4/19, 2/7
Factor -h**3/4 - 82*h**2 - 327*h/4.
-h*(h + 1)*(h + 327)/4
Find l such that 4*l**2 - 168*l - 352 = 0.
-2, 44
Solve -9*s**5 + 33*s**4 + 21*s**3 - 33*s**2 - 12*s = 0.
-1, -1/3, 0, 1, 4
Solve 4*p**5/5 + 2*p**4/5 - 28*p**3/5 - 38*p**2/5 - 12*p/5 = 0.
-2, -1, -1/2, 0, 3
Factor j**3 - 8*j**2 - 9*j.
j*(j - 9)*(j + 1)
Factor 45*k**2 - 48*k + 12.
3*(3*k - 2)*(5*k - 2)
Factor -t**2 + 126*t - 3969.
-(t - 63)**2
Factor h**2/2 + 79*h + 6241/2.
(h + 79)**2/2
Factor -t**2/8 + 61*t/4 - 3721/8.
-(t - 61)**2/8
Solve 7*c**2/2 + 71*c/2 + 32 = 0 for c.
-64/7, -1
Factor -81*j**3 - 522*j**2 - 1120*j - 800.
-(j + 2)*(9*j + 20)**2
Find h such that -25*h**5 - 40*h**4 + 245*h**3 + 360*h**2 - 180*h = 0.
-3, -2, 0, 2/5, 3
Determine z, given that -z**2/2 + 7*z/2 - 5 = 0.
2, 5
Find r such that 2*r**2/7 + 1948*r/7 - 1950/7 = 0.
-975, 1
Let 4*a**3 - 512*a**2 + 21824*a - 309760 = 0. What is a?
40, 44
Let 5*h**3 - 5*h**2 - 20*h + 20 = 0. Calculate h.
-2, 1, 2
Factor 5*b**2/4 + 40*b + 75.
5*(b + 2)*(b + 30)/4
Factor 3*x**3/2 + 3*x**2 - 27*x/2 - 27.
3*(x - 3)*(x + 2)*(x + 3)/2
Solve -68*w**2 + 80*w - 12 = 0.
3/17, 1
What is c in c**3 + 5*c**2 + 6*c = 0?
-3, -2, 0
Factor 2*c**2/9 - 322*c + 11560/9.
2*(c - 1445)*(c - 4)/9
Factor 5*k**3/12 - 46*k**2/3 - 427*k/12 - 13/2.
(k - 39)*(k + 2)*(5*k + 1)/12
Factor 3*c**3/5 - 534*c**2/5 - 1077*c/5 - 108.
3*(c - 180)*(c + 1)**2/5
Factor -u**3 + 11*u**2 - 24*u - 36.
-(u - 6)**2*(u + 1)
Let 770*f**4 - 1985*f**3 - 945*f**2 - 90*f = 0. What is f?
-2/7, -3/22, 0, 3
What is d in -d**5 - 14*d**4 + 18*d**3 + 44*d**2 - 17*d - 30 = 0?
-15, -1, 1, 2
Find b such that -b**3/2 - 31*b**2/2 - 15*b = 0.
-30, -1, 0
Factor 2*n**4 - 24*n**2 - 32*n.
2*n*(n - 4)*(n + 2)**2
Determine c, given that c**5/4 - 9*c**4/2 + 35*c**3/2 - 15*c**2 - 71*c/4 + 39/2 = 0.
-1, 1, 2, 3, 13
Factor -3*h**2 - 1692*h + 3396.
-3*(h - 2)*(h + 566)
Factor -4*p**3 + 12*p + 8.
-4*(p - 2)*(p + 1)**2
Factor 2*g**2/7 + 34*g + 236/7.
2*(g + 1)*(g + 118)/7
Solve -5*f**4 + 60*f**3 - 50*f**2 - 60*f + 55 = 0 for f.
-1, 1, 11
Factor -5*x**3 + 220*x**2 - 2185*x - 5290.
-5*(x - 23)**2*(x + 2)
Determine b, given that -2*b**2 - 84*b - 594 = 0.
-33, -9
Factor 2*g**3/9 - 194*g**2 - 4688*g/3 - 28192/9.
2*(g - 881)*(g + 4)**2/9
Let -3*r**3 + 114*r**2 - 1083*r = 0. What is r?
0, 19
Factor 63*v**4/4 - 93*v**3/4 + 15*v**2/2.
3*v**2*(v - 1)*(21*v - 10)/4
Factor 2645*m**3 - 7475*m**2 - 1360*m - 60.
5*(m - 3)*(23*m + 2)**2
Determine d, given that -4*d**4 + 60*d**3 - 144*d**2 - 16*d + 192 = 0.
-1, 2, 12
Factor -4*x**3/7 - 80*x**2/7 + 372*x/7 - 288/7.
-4*(x - 3)*(x - 1)*(x + 24)/7
Find q such that 2*q**3/15 - 222*q**2/5 + 18592*q/5 - 55112/15 = 0.
1, 166
Solve 4*v**4 + 44*v**3 + 168*v**2 + 272*v + 160 = 0 for v.
-5, -2
Factor 6*g**5/7 + 10*g**4/7 - 4*g**3/7.
2*g**3*(g + 2)*(3*g - 1)/7
Find d such that -d**5/2 - d**4 + d**3 + 4*d**2 + 7*d/2 + 1 = 0.
-1, 2
Find a, given that -2*a**3/3 + 52*a**2/3 - 70*a = 0.
0, 5, 21
Let 2*o**3 + o**2/2 - 8*o - 2 = 0. What is o?
-2, -1/4, 2
Suppose -r**2/3 + 8*r/3 - 5 = 0. What is r?
3, 5
Solve c**2/9 - 2*c/9 - 5/3 = 0.
-3, 5
What is j in 2*j**3/5 + 72*j**2/5 - 30*j + 76/5 = 0?
-38, 1
Let 2*g**3/3 + 42*g**2 + 594*g - 2178 = 0. Calculate g.
-33, 3
Factor -2*a**4/3 - 34*a**3/3 - 62*a**2/3 - 10*a.
-2*a*(a + 1)**2*(a + 15)/3
What is i in 3*i**3/4 + 105*i**2/4 = 0?
-35, 0
Find u such that 20*u**4 + 76*u**3 - 144*u = 0.
-3, -2, 0, 6/5
Determine b so that -2*b**4/3 + 4*b**3/3 + 14*b**2/3 + 8*b/3 = 0.
-1, 0, 4
Factor 4*n**2 - 1576*n + 1572.
4*(n - 393)*(n - 1)
Factor -p**5 - 59*p**4 - 897*p**3 + 3703*p**2 + 121670*p.
-p*(p - 10)*(p + 23)**3
Suppose -2*j**4/9 - 22*j**3/3 + 70*j**2/3 - 214*j/9 + 8 = 0. Calculate j.
-36, 1
What is p in 3*p**4 + 156*p**3 + 1866*p**2 - 4212*p + 2187 = 0?
-27, 1
What is m in -5*m**2/6 + 2535*m/2 = 0?
0, 1521
Factor -h**2 - 8*h - 12.
-(h + 2)*(h + 6)
Find f, given that -2*f**4 - 520*f**3 + 1572*f**2 - 1576*f + 526 = 0.
-263, 1
Factor 3*s**3 - 18*s**2 - 405*s - 1200.
3*(s - 16)*(s + 5)**2
Solve 21*y**4 - 918*y**3 - 264*y**2 = 0 for y.
-2/7, 0, 44
Let -4*t**2 - 2124*t - 2120 = 0. Calculate t.
-530, -1
Factor r**2/4 - 109*r/4.
r*(r - 109)/4
Determine l so that -2*l**3/21 - 40*l**2/21 + 2*l = 0.
-21, 0, 1
Determine c, given that -c**4/2 - c**3/3 + 14*c**2/3 + 3*c - 3/2 = 0.
-3, -1, 1/3, 3
Factor -2*t**2/17 + 82*t/17 - 80/17.
-2*(t - 40)*(t - 1)/17
Factor -4*g**2 + 424*g - 11236.
-4*(g - 53)**2
Solve -2*g**3/11 - 498*g**2/11 + 1002*g/11 - 502/11 = 0.
-251, 1
Factor -f**3/4 + 19*f**2/4 - 99*f/4 + 81/4.
-(f - 9)**2*(f - 1)/4
Factor b**4/3 + 227*b**3 + 116957*b**2/3 + 115373*b + 76614.
(b + 1)*(b + 2)*(b + 339)**2/3
Let 5*h**2 - 425*h - 430 = 0. What is h?
-1, 86
Factor -4*l**2/9 - 14552*l/9 - 13235044/9.
-4*(l + 1819)**2/9
Let -12*o**4 - 17*o**3 + 2*o**2 + 7*o = 0. Calculate o.
-1, 0, 7/12
Factor -75*t**3 + 2695*t**2 + 180*t.
-5*t*(t - 36)*(15*t + 1)
Let 3*t**4 - 36*t**3 - 66*t**2 + 1188*t + 1215 = 0. What is t?
-5, -1, 9
Suppose 4*p**4 + 20*p**3 + 20*p**2 - 20*p - 24 = 0. Calculate p.
-3, -2, -1, 1
Suppose 3*f**5 - 15*f**4 - 93*f**3 - 129*f**2 - 54*f = 0. Calculate f.
-2, -1, 0, 9
Factor -3*h**2 - 75*h - 468.
-3*(h + 12)*(h + 13)
What is u in 8*u**2 - 148*u + 624 = 0?
13/2, 12
Factor 3*x**4/8 - 9*x**3 + 33*x**2 + 252*x + 294.
3*(x - 14)**2*(x + 2)**2/8
Factor -5*w**2 + 100*w - 95.
-5*(w - 19)*(w - 1)
Factor 2*a**5/7 + 8*a**4/7.
2*a**4*(a + 4)/7
Factor n**4/2 - 21*n**3/2 - 69*n**2/2 - 71*n/2 - 12.
(n - 24)*(n + 1)**3/2
Factor -3*p**2/5 + 99*p/5 + 324/5.
-3*(p - 36)*(p + 3)/5
Factor o**3/4 + o**2/4 - 3*o.
o*(o - 3)*(o + 4)/4
Let -i**4/3 + 23*i**3 + i**2/3 - 23*i = 0. Calculate i.
-1, 0, 1, 69
Factor 5*a**2 