*z**2/13 - 66*z/13 - 68/13.
2*(z - 34)*(z + 1)/13
Let -n**3/6 + 11*n**2/6 + 449*n/6 - 153/2 = 0. What is n?
-17, 1, 27
Factor -d**5/2 + 10*d**4 - 18*d**3 - d**2 + 37*d/2 - 9.
-(d - 18)*(d - 1)**3*(d + 1)/2
Suppose 4*c**4 + 54*c**3 + 136*c**2 - 54*c - 140 = 0. What is c?
-10, -7/2, -1, 1
Factor 5*c**2 - 3780*c + 714420.
5*(c - 378)**2
Determine c so that c**4/10 - c**3/5 - 36*c**2 = 0.
-18, 0, 20
Factor -2*z**4/3 + 14*z**3/3 - 10*z**2 + 26*z/3 - 8/3.
-2*(z - 4)*(z - 1)**3/3
Factor -2*l**3/5 + 6*l**2/5 + 72*l/5 + 64/5.
-2*(l - 8)*(l + 1)*(l + 4)/5
Solve -2*f**3/3 - 4*f**2 - 6*f = 0.
-3, 0
Suppose 361805*c**2/3 - 5380*c/3 + 20/3 = 0. Calculate c.
2/269
Solve -3*p**4/2 - 15*p**3/2 - 9*p**2/2 + 15*p/2 + 6 = 0.
-4, -1, 1
What is g in -g**2/2 + 93*g/2 = 0?
0, 93
Factor -9*o**3 + 129*o**2/5 + 18*o/5.
-3*o*(o - 3)*(15*o + 2)/5
Factor -5*l**3/4 - 885*l**2/4 + 2265*l/2 - 910.
-5*(l - 4)*(l - 1)*(l + 182)/4
Suppose -2*q**4 - 12*q**3 + 34*q**2 + 12*q - 32 = 0. What is q?
-8, -1, 1, 2
Determine n so that 18*n**2 - 604*n - 272 = 0.
-4/9, 34
Factor -4*p**3 - 76*p**2 - 64*p + 144.
-4*(p - 1)*(p + 2)*(p + 18)
Find n, given that -2*n**3/9 + 38*n**2/3 - 48*n + 424/9 = 0.
2, 53
Factor 3*l**2/2 + 366*l + 22326.
3*(l + 122)**2/2
Factor d**3/6 - 5*d**2/2.
d**2*(d - 15)/6
Factor -1148*x**3 + 4*x**2.
-4*x**2*(287*x - 1)
Factor -4*o**4 + 152*o**3 - 1920*o**2 + 8064*o.
-4*o*(o - 14)*(o - 12)**2
Factor a**5/2 + 13*a**4/6 + 7*a**3/2 + 5*a**2/2 + 2*a/3.
a*(a + 1)**3*(3*a + 4)/6
Factor -o**2/3 - o + 4/3.
-(o - 1)*(o + 4)/3
Determine a so that -4*a**3/3 - 1612*a**2/3 + 3236*a/3 - 540 = 0.
-405, 1
Find d, given that -3*d**5/4 + 27*d**4/2 - 42*d**3 - 336*d**2 + 1152*d + 3072 = 0.
-4, -2, 8
Factor 3*o**3/7 + 6*o**2/7 - 9*o/7.
3*o*(o - 1)*(o + 3)/7
Factor 3*k**5 + 2*k**4 - k**3.
k**3*(k + 1)*(3*k - 1)
Solve -2*v**4/3 - 160*v**3/3 - 156*v**2 - 464*v/3 - 154/3 = 0 for v.
-77, -1
Determine c, given that c**3 + 429*c**2 - 432*c - 860 = 0.
-430, -1, 2
Factor 8*t**5 - 4*t**4 - 4*t**3.
4*t**3*(t - 1)*(2*t + 1)
Find m, given that -4*m**4 + 28*m**3 + 220*m**2 - 508*m + 264 = 0.
-6, 1, 11
Find v, given that 2*v**3 + 728*v**2 + 2888*v + 2880 = 0.
-360, -2
What is x in -x**5 - 8*x**4 - 12*x**3 + 26*x**2 + 61*x + 30 = 0?
-5, -3, -1, 2
Find b, given that -b**2/2 - 54*b - 107/2 = 0.
-107, -1
Factor -4*y**3 - 1239*y**2 - 95790*y + 24025.
-(y + 155)**2*(4*y - 1)
Determine f, given that 48*f**4/7 - 388*f**3/7 + 828*f**2/7 - 408*f/7 - 160/7 = 0.
-1/4, 4/3, 2, 5
Find i such that -3*i**3 + 5*i**2/3 + 4*i/3 = 0.
-4/9, 0, 1
Let 2*h**3/3 + 120*h**2 = 0. Calculate h.
-180, 0
Suppose 3*t**3 + 1002*t**2 = 0. Calculate t.
-334, 0
Factor 3240*i**5 - 106020*i**4 + 1089310*i**3 - 2730675*i**2 - 7744560*i - 3893440.
5*(2*i - 23)**3*(9*i + 8)**2
Factor 15*x**3/4 + 141*x**2/4 - 594*x - 243.
3*(x - 9)*(x + 18)*(5*x + 2)/4
Factor -l**4/2 + 3*l**2/2 - l.
-l*(l - 1)**2*(l + 2)/2
Suppose 4*b**2 - 120*b - 124 = 0. What is b?
-1, 31
Solve -4*x**5/3 + 464*x**4/3 - 17296*x**3/3 + 181120*x**2/3 + 947200*x/3 + 1024000/3 = 0 for x.
-2, 40
Factor 2*x**3/9 + 10*x**2/3 + 14*x + 18.
2*(x + 3)**2*(x + 9)/9
Factor 3*y**3/7 - 12*y**2/7 + 9*y/7.
3*y*(y - 3)*(y - 1)/7
Factor 18*b**3 - 16*b**2 - 38*b - 4.
2*(b - 2)*(b + 1)*(9*b + 1)
Determine p, given that 20*p**2 + 345*p + 1225 = 0.
-49/4, -5
Suppose 4*o**4 + 2132*o**3 - 4*o**2 - 2132*o = 0. Calculate o.
-533, -1, 0, 1
Find u, given that 2*u**2/9 + 1872*u + 3942432 = 0.
-4212
Factor -2*n**3 - 24*n**2 - 42*n + 196.
-2*(n - 2)*(n + 7)**2
Solve 2*n**2/11 - 284*n/11 + 560/11 = 0 for n.
2, 140
Let 2*y**5/15 - 46*y**4/15 - 4*y**3/15 + 92*y**2/15 + 2*y/15 - 46/15 = 0. Calculate y.
-1, 1, 23
Factor 4*u**2/3 + 65*u/3 + 16/3.
(u + 16)*(4*u + 1)/3
Factor 3*k**2 - 666*k.
3*k*(k - 222)
Factor 3*f**3/4 - 15*f**2 + 159*f/4 - 51/2.
3*(f - 17)*(f - 2)*(f - 1)/4
Find d, given that -2*d**3/5 + 24*d/5 + 32/5 = 0.
-2, 4
Factor 2*c**3/7 - 34*c**2/7 + 18*c + 162/7.
2*(c - 9)**2*(c + 1)/7
Factor 4*s**3 - 124*s**2 + 1120*s - 2352.
4*(s - 14)**2*(s - 3)
Solve 4*t**4 - 304*t**3 + 1724*t**2 - 3104*t + 1680 = 0 for t.
1, 2, 3, 70
Determine k so that 2*k**3/5 + 166*k**2/5 - 688*k/5 + 696/5 = 0.
-87, 2
Find n such that -2*n**2 - 92*n - 608 = 0.
-38, -8
Suppose -28*w**5 + 676*w**4 - 1240*w**3 = 0. What is w?
0, 2, 155/7
Let -3*i**5 + 42*i**4 - 198*i**3 + 408*i**2 - 375*i + 126 = 0. Calculate i.
1, 2, 3, 7
Let -4*g**5 + 92*g**4 - 592*g**3 + 1232*g**2 + 128*g - 1792 = 0. What is g?
-1, 2, 4, 14
Let -6*u**4 + 56*u**3 - 108*u**2 - 120*u + 50 = 0. Calculate u.
-1, 1/3, 5
What is c in -5*c**4 + 1270*c**3 - 81905*c**2 + 160020*c - 79380 = 0?
1, 126
Suppose 3*i**2/7 + 87*i/7 = 0. Calculate i.
-29, 0
Let 5*d**4 + 30*d**3 - 120*d**2 + 130*d - 45 = 0. What is d?
-9, 1
Find x such that -2*x**4/7 - 38*x**3/7 - 68*x**2/7 = 0.
-17, -2, 0
Solve -v**3/4 - 15*v**2/2 - 29*v/4 = 0 for v.
-29, -1, 0
Factor -5*v**3 + 40*v**2 - 95*v + 60.
-5*(v - 4)*(v - 3)*(v - 1)
Let 6*t**5/11 + 32*t**4/11 - 32*t**3/11 - 4*t**2 + 26*t/11 + 12/11 = 0. Calculate t.
-6, -1, -1/3, 1
Factor 3*t**4 + 24*t**3 + 63*t**2 + 54*t.
3*t*(t + 2)*(t + 3)**2
What is r in -2*r**5 - 16*r**4/7 + 12*r**3/7 + 16*r**2/7 + 2*r/7 = 0?
-1, -1/7, 0, 1
Find z such that z**3/2 + 7*z**2/2 + 5*z = 0.
-5, -2, 0
Determine v, given that -5*v**3 - 365*v**2 - 4715*v + 75645 = 0.
-41, 9
Let -2*d**4/7 - 50*d**3/7 + 274*d**2/7 + 174*d = 0. What is d?
-29, -3, 0, 7
Factor -3*l**2 - 39*l - 66.
-3*(l + 2)*(l + 11)
Factor -g**3 - 7*g**2 + 8*g.
-g*(g - 1)*(g + 8)
Suppose -4*x**4 - 12*x**3 + 16*x = 0. What is x?
-2, 0, 1
Factor l**3 - l**2 - 2*l.
l*(l - 2)*(l + 1)
Determine a so that a**5/3 + 25*a**4/3 + 51*a**3 + 95*a**2/3 - 754*a/3 + 160 = 0.
-16, -6, -5, 1
Suppose 2*m**2/15 + 16*m/5 + 46/15 = 0. Calculate m.
-23, -1
Factor 2*c**3 - 30*c**2 + 108*c - 80.
2*(c - 10)*(c - 4)*(c - 1)
Determine h, given that 2*h**5/5 + 92*h**4/5 + 252*h**3/5 - 56*h**2 - 958*h/5 - 516/5 = 0.
-43, -3, -1, 2
Factor 178*v**2/7 - 8*v/7.
2*v*(89*v - 4)/7
Factor -5*c**2 + 990*c - 49005.
-5*(c - 99)**2
Suppose 2*p**2/9 - 110*p/3 + 2212/9 = 0. What is p?
7, 158
Suppose -45*w**3 + 1005*w**2 + 685*w + 115 = 0. Calculate w.
-1/3, 23
Find n such that -n**2 + 42*n - 441 = 0.
21
Solve 2*r**5/13 - 24*r**4/13 + 32*r**3/13 + 84*r**2/13 - 34*r/13 - 60/13 = 0.
-1, 1, 3, 10
Suppose b**4 - 138*b**3 - 140*b**2 + 138*b + 139 = 0. What is b?
-1, 1, 139
Let -f**3 - 133*f**2 - 263*f - 131 = 0. What is f?
-131, -1
Determine a, given that 3*a**3/4 - 165*a**2/4 - 186*a + 531 = 0.
-6, 2, 59
Factor -2*f**2/5 - 46*f/5 + 56.
-2*(f - 5)*(f + 28)/5
Find l, given that -l**4 + 23*l**3 - 21*l**2 - 23*l + 22 = 0.
-1, 1, 22
Let 5*o**5/4 + 15*o**4/4 + 5*o**3/2 = 0. Calculate o.
-2, -1, 0
What is v in -3*v**2/5 - 1116*v/5 - 103788/5 = 0?
-186
Determine l, given that -5*l**3 - 10*l**2 + 195*l - 360 = 0.
-8, 3
Factor -a**2 - 94*a + 192.
-(a - 2)*(a + 96)
Let -3*k**3 - 51*k**2 - 90*k = 0. Calculate k.
-15, -2, 0
Find v such that 2*v**2 + 12248*v + 18751688 = 0.
-3062
Find f, given that -5*f**5 + 80*f**4 - 180*f**3 - 880*f**2 + 1600*f + 3840 = 0.
-2, 4, 12
Factor r**5 + 11*r**4 + 45*r**3 + 81*r**2 + 54*r.
r*(r + 2)*(r + 3)**3
Factor -5*a**4 + 5*a**3 + 65*a**2 - 125*a + 60.
-5*(a - 3)*(a - 1)**2*(a + 4)
Factor v**2/6 - 5*v/2.
v*(v - 15)/6
Factor f**4/2 - 7*f**3/2 - 2*f**2 + 14*f.
f*(f - 7)*(f - 2)*(f + 2)/2
Factor 3*v**3 + 12*v**2 + 12*v.
3*v*(v + 2)**2
Determine s so that 3*s**2/8 + 9*s/4 - 6 = 0.
-8, 2
Let -2*x**3/21 + 220*x**2/21 - 832*x/3 - 1792/3 = 0. What is x?
-2, 56
Determine o, given that 2*o**2 - 1416*o + 250632 = 0.
354
Factor -15*y**2 + 3999*y + 1602.
-3*(y - 267)*(5*y + 2)
Let -75*f**4/4 + 15*f**3/2 + 189*f**2/4 + 24*f + 3 = 0. What is f?
-1, -2/5, -1/5, 2
Factor -3*a**2/4 - 2228*a + 2971/4.
-(a + 2971)*(3*a - 1)/4
Determine o so that 4*o**4 + 28*o**3 - 52*o**2 - 172*o - 96 = 0.
-8, -1, 3
Find o such that 3*o**3 - 9*o**2 + 6*o = 0.
0, 1, 2
Find p, given that -p**4/2 - 70*p**3 + 71*p**2 + 70*p - 141/2 = 0.
-141, -1, 1
Factor -3*d**2 - 7515*d + 7518.
-3*(d - 1)*(d + 2506)
Find c such that 4*c**5/9 - 241*c**4/9 + 3620*c**3/9 - 650*c**2/9 - 1208*c/3 + 99 = 0.
-1, 1/4, 1, 27, 33
Let -4*m**4/7 - 36*m**3/7 - 120*m**2/7 - 176*m/7 - 96/7 = 0. Calculate m.
-3, -2
Factor x**4/4 + 23*x**3/2 + 141*x**2 + 154*x - 968.
(x - 2)*(x + 4)*(x + 22)**2/4
Factor -h