 is n in n**4/4 + n**3/4 - 75*n**2/4 - 325*n/4 - 125/2 = 0?
-5, -1, 10
Solve l**2/2 + 23*l/2 + 30 = 0.
-20, -3
Suppose -j**5 + 10*j**4 - 25*j**3 = 0. What is j?
0, 5
Factor 5*p**4 - 125*p**3 - 135*p**2 + 125*p + 130.
5*(p - 26)*(p - 1)*(p + 1)**2
Solve 3*s**2/4 + 243*s/4 + 60 = 0.
-80, -1
Factor 2*q**2 + 92*q.
2*q*(q + 46)
Factor a**3/4 - 99*a**2 - 199*a.
a*(a - 398)*(a + 2)/4
Factor -2*j**4/7 + 58*j**3/7 - 108*j**2/7.
-2*j**2*(j - 27)*(j - 2)/7
Let 9*q**3/4 + 164*q**2 - 739*q/4 + 37/2 = 0. Calculate q.
-74, 1/9, 1
Suppose 12*j**2 + 201*j/2 - 195 = 0. Calculate j.
-10, 13/8
Factor -2*y**2/17 + 1790*y/17.
-2*y*(y - 895)/17
Factor 4*u**3/7 - 16*u**2/7.
4*u**2*(u - 4)/7
Suppose 4*f**3 + 132*f**2 + 1452*f + 5324 = 0. What is f?
-11
What is f in f**4 + 48*f**3 - 1536*f**2 + 13312*f - 36864 = 0?
-72, 8
Let c**3/6 + c**2 - 5*c/2 + 4/3 = 0. What is c?
-8, 1
What is s in 28*s**3 - 2792*s**2 - 12448*s - 3328 = 0?
-4, -2/7, 104
Factor -4*h**4 + 8*h**3 + 12*h**2.
-4*h**2*(h - 3)*(h + 1)
Determine b so that -27*b**5 + 345*b**4 + 159*b**3 - 981*b**2 - 924*b - 156 = 0.
-1, -2/9, 2, 13
Find q, given that 5*q**4 + 75*q**3 + 310*q**2 + 240*q = 0.
-8, -6, -1, 0
Suppose -2*x**3/9 + 52*x**2/9 = 0. What is x?
0, 26
Factor -5*f**5 + 1540*f**4 - 152765*f**3 + 4309430*f**2 + 55337300*f + 148877000.
-5*(f - 106)**3*(f + 5)**2
Factor -5*q**5 + 105*q**4 - 720*q**3 + 1620*q**2.
-5*q**2*(q - 9)*(q - 6)**2
Suppose -3*s**3 - 174*s**2 + 543*s - 366 = 0. Calculate s.
-61, 1, 2
Factor 2*h**3/5 - 8*h**2 - 1144*h/5 + 23232/5.
2*(h - 22)**2*(h + 24)/5
Find y such that y**2 - 23*y + 60 = 0.
3, 20
Solve -k**5 + 8*k**3 - 6*k**2 - 7*k + 6 = 0.
-3, -1, 1, 2
Factor -3*l**4 + 33*l**3 - 78*l**2 + 48*l.
-3*l*(l - 8)*(l - 2)*(l - 1)
Find p such that 4*p**4 + 15*p**3 + 16*p**2 + 3*p - 2 = 0.
-2, -1, 1/4
Factor -3*i**2 + 723*i - 720.
-3*(i - 240)*(i - 1)
Determine j so that 4*j**5 - 2424*j**4 - 8*j**3 + 4848*j**2 + 4*j - 2424 = 0.
-1, 1, 606
Factor 3*u**2 - 4320*u + 1555200.
3*(u - 720)**2
Factor -2*k**4/23 - 12*k**3/23 + 14*k**2/23.
-2*k**2*(k - 1)*(k + 7)/23
Determine o so that 2*o**5/3 + 22*o**4/3 - 3364*o**3/3 - 24132*o**2 - 44874*o - 21870 = 0.
-27, -1, 45
Factor -2*w**3 + 176*w**2 - 174*w.
-2*w*(w - 87)*(w - 1)
Factor -2*z**4 + 138*z**3 + 426*z**2 + 430*z + 144.
-2*(z - 72)*(z + 1)**3
Factor -4*d**3 - 184*d**2 + 4*d + 184.
-4*(d - 1)*(d + 1)*(d + 46)
Find r, given that r**3 - 126*r**2 - 649*r - 786 = 0.
-3, -2, 131
Find k such that k**4/4 - 53*k**3/4 + 153*k**2/4 - 151*k/4 + 25/2 = 0.
1, 50
Factor -d**3/6 - d**2/2 + 2/3.
-(d - 1)*(d + 2)**2/6
Solve 4*r**3 - 68*r**2 + 56*r + 128 = 0 for r.
-1, 2, 16
Factor 2*s**5 - 6*s**3 + 4*s**2.
2*s**2*(s - 1)**2*(s + 2)
Factor -2*i**3/15 - 378*i**2/5 - 754*i/5 - 226/3.
-2*(i + 1)**2*(i + 565)/15
Factor -2*y**2/13 - 440*y/13 + 1792/13.
-2*(y - 4)*(y + 224)/13
Suppose 3*z**4/8 - 27*z**3/4 - 99*z**2/2 - 105*z - 72 = 0. What is z?
-2, 24
Factor 45*h**3 + 209*h**2/7 - 114*h/7 - 8/7.
(h + 1)*(5*h - 2)*(63*h + 4)/7
Suppose -4*x**3 + 84*x**2 - 200*x - 288 = 0. What is x?
-1, 4, 18
What is q in -28*q**5 + 188*q**4 - 196*q**3 - 268*q**2 + 224*q + 80 = 0?
-1, -2/7, 1, 2, 5
Solve -2*i**2 - 1346*i + 2700 = 0 for i.
-675, 2
Factor -l**3 - 15*l**2 - 26*l.
-l*(l + 2)*(l + 13)
Find m such that -30*m**4/11 - 172*m**3/11 - 234*m**2/11 - 108*m/11 - 16/11 = 0.
-4, -1, -2/5, -1/3
Factor 5*i**3 + 555*i**2 - 590*i - 3360.
5*(i - 3)*(i + 2)*(i + 112)
Factor 2*p**3/3 + 44*p**2/3 - 248*p + 816.
2*(p - 6)**2*(p + 34)/3
Solve -s**2 + 688*s - 1372 = 0 for s.
2, 686
Solve -3*x**3/5 - 579*x**2/5 = 0.
-193, 0
Factor 2*q**2/15 + 98*q/15 + 656/15.
2*(q + 8)*(q + 41)/15
Factor 2*i**3 - 1412*i**2.
2*i**2*(i - 706)
Factor f**3 + 7*f**2.
f**2*(f + 7)
Suppose -2*q**2 - 14*q + 240 = 0. Calculate q.
-15, 8
Determine g so that 33*g**2/5 + 1059*g/5 + 1116/5 = 0.
-31, -12/11
Determine q so that q**2/4 - 49*q/4 + 147/2 = 0.
7, 42
Factor -k**2/5 - 3*k - 14/5.
-(k + 1)*(k + 14)/5
Factor -h**5 + 20*h**4 - 135*h**3 + 340*h**2 - 80*h - 576.
-(h - 9)*(h - 4)**3*(h + 1)
Factor -5*l**3 + 30*l**2 - 55*l + 30.
-5*(l - 3)*(l - 2)*(l - 1)
Find m such that -2*m**5/9 - 4*m**4/3 - 26*m**3/9 - 8*m**2/3 - 8*m/9 = 0.
-2, -1, 0
Factor -2*c**3/11 - 34*c**2/11 - 126*c/11 + 162/11.
-2*(c - 1)*(c + 9)**2/11
Suppose s**4/5 - 3*s**2/5 + 2*s/5 = 0. What is s?
-2, 0, 1
Factor -4*f**3 - 592*f**2 - 23572*f - 120984.
-4*(f + 6)*(f + 71)**2
Solve -6*z**4/17 - 62*z**3/17 - 142*z**2/17 - 2*z/17 + 84/17 = 0.
-7, -3, -1, 2/3
Factor 8*d**2 - 118*d + 84.
2*(d - 14)*(4*d - 3)
Solve 94*a**2 + 191*a + 6 = 0 for a.
-2, -3/94
Factor -c**5 + 8*c**4 - 18*c**3 + 16*c**2 - 5*c.
-c*(c - 5)*(c - 1)**3
Factor 5*u**2 + 2125*u + 2120.
5*(u + 1)*(u + 424)
Factor 87*r**5/5 - 351*r**4/5 + 534*r**3/5 - 366*r**2/5 + 99*r/5 - 3/5.
3*(r - 1)**4*(29*r - 1)/5
Solve -2*f**4 - 12*f**3 + 2*f**2 + 12*f = 0.
-6, -1, 0, 1
Factor g**3/2 + 5*g**2 - g/2 - 5.
(g - 1)*(g + 1)*(g + 10)/2
Factor t**3/11 + 26*t**2/11 + 48*t/11.
t*(t + 2)*(t + 24)/11
Factor 20*s**4 - 52*s**3 - 24*s**2 + 80*s + 32.
4*(s - 2)**2*(s + 1)*(5*s + 2)
Factor 15*c**2 + 1580*c + 525.
5*(c + 105)*(3*c + 1)
Factor t**4 - 4*t**3 - 93*t**2 - 296*t - 208.
(t - 13)*(t + 1)*(t + 4)**2
Let 5*z**3 - 558*z**2 + 16005*z - 24200 = 0. Calculate z.
8/5, 55
Factor -3*c**3 - 3*c**2 + 6*c.
-3*c*(c - 1)*(c + 2)
Solve 2*l**2/3 + 372*l - 1118/3 = 0.
-559, 1
Determine l, given that 3*l**2/5 - 21*l/5 = 0.
0, 7
Suppose 5*j**2 - 2625*j + 2620 = 0. What is j?
1, 524
Factor 2*t**2/11 + 14*t/11 - 8.
2*(t - 4)*(t + 11)/11
Factor 4*y**4 + 36*y**3 + 120*y**2 + 176*y + 96.
4*(y + 2)**3*(y + 3)
Suppose 10*q**5 - 175*q**4 + 995*q**3 - 1925*q**2 + 735*q = 0. What is q?
0, 1/2, 3, 7
Find x such that 5*x**4 + 1390*x**3 + 2760*x**2 = 0.
-276, -2, 0
Factor -p**2/7 + 916*p/7 - 209764/7.
-(p - 458)**2/7
Factor 3*y**2 + 27*y - 1080.
3*(y - 15)*(y + 24)
Factor -2*p**2 - 14*p + 36.
-2*(p - 2)*(p + 9)
Find z, given that -z**5/4 + z**4/4 + 9*z**3/4 - 5*z**2/4 - 4*z + 3 = 0.
-2, 1, 3
Factor 2*v**5 + 18*v**4 + 14*v**3 - 18*v**2 - 16*v.
2*v*(v - 1)*(v + 1)**2*(v + 8)
Solve -u**4/5 + 14*u**3/5 + 228*u**2/5 - 728*u + 6272/5 = 0.
-16, 2, 14
Factor -5*r**2 - 100*r - 455.
-5*(r + 7)*(r + 13)
Solve b**2/7 - 12*b/7 - 4 = 0 for b.
-2, 14
Factor -10*x**5 + 6*x**4 + 4*x**3.
-2*x**3*(x - 1)*(5*x + 2)
Let 3*r**4 + 111*r**3 + 105*r**2 - 111*r - 108 = 0. Calculate r.
-36, -1, 1
Factor -5*b**4 - 35*b**3 + 5*b**2 + 35*b.
-5*b*(b - 1)*(b + 1)*(b + 7)
Solve 2*p**4/17 + 16*p**3/17 + 28*p**2/17 - 16*p/17 - 30/17 = 0 for p.
-5, -3, -1, 1
Let 2*v**3/11 - 2*v**2/11 - 2*v/11 + 2/11 = 0. What is v?
-1, 1
Factor 45*a**3 + 300*a**2 - 640*a - 5120.
5*(a - 4)*(3*a + 16)**2
Factor -5*a**2 + 5*a + 280.
-5*(a - 8)*(a + 7)
Factor -2*m**3/5 - 168*m**2/5 - 3528*m/5.
-2*m*(m + 42)**2/5
Factor k**2/7 + 115*k/7 - 116/7.
(k - 1)*(k + 116)/7
Factor 4*x**2 - 8*x.
4*x*(x - 2)
Factor 2*v**2/11 + 318*v/11 + 316/11.
2*(v + 1)*(v + 158)/11
Factor -5*d**2 - 12325*d + 12330.
-5*(d - 1)*(d + 2466)
Determine c, given that 2*c**2/11 - 10*c + 408/11 = 0.
4, 51
Factor 2*a**3/7 - 1842*a**2/7 - 1844*a/7.
2*a*(a - 922)*(a + 1)/7
Solve 3*f**5 + 12*f**4 - 102*f**3 - 12*f**2 + 315*f + 216 = 0 for f.
-8, -1, 3
Solve -2*x**2/7 - 24*x/7 + 128/7 = 0 for x.
-16, 4
Factor k**4/3 + 70*k**3/3 + 1076*k**2/3 - 5254*k/3 + 1369.
(k - 3)*(k - 1)*(k + 37)**2/3
Factor -4*d**2 + 9056*d + 9060.
-4*(d - 2265)*(d + 1)
Factor h**3 + 6*h**2.
h**2*(h + 6)
Factor 2*c**2/3 + 2*c - 56/3.
2*(c - 4)*(c + 7)/3
Factor -2*b**2/11 - 202*b/11 - 200/11.
-2*(b + 1)*(b + 100)/11
Factor 2*z**4/13 + 38*z**3/13 - 132*z**2/13.
2*z**2*(z - 3)*(z + 22)/13
Factor 2*y**4 - 16*y**3 + 38*y**2 - 24*y.
2*y*(y - 4)*(y - 3)*(y - 1)
Determine k, given that 2*k**2/7 - 180*k/7 + 2992/7 = 0.
22, 68
Let -2*t**5/9 + 8*t**4/9 + 22*t**3/9 + 4*t**2/3 = 0. Calculate t.
-1, 0, 6
Find c, given that -5*c**3 + 1005*c**2 + 1020*c - 2020 = 0.
-2, 1, 202
Factor -32*p**3 - 996*p**2 - 1084*p - 120.
-4*(p + 1)*(p + 30)*(8*p + 1)
Solve -2*i**4/3 - 22*i**3/3 + 8*i**2 = 0 for i.
-12, 0, 1
Determine i, given that -21*i**5/4 + 3*i**4/2 + 903*i**3/2 + 1761*i**2 + 3615*i/4 - 825/2 = 0.
-5, -1, 2/7, 11
Factor 5*b**4 + 10*b**3 - 95*b**2 + 140*b - 60.
5*(b - 2)*(b - 1)**2*(b + 6)
Determine t, given that 2*t**5/5 + 4*t**4/15 - 2*t**3/5 - 4*t**2/15 = 0.
-1, -2/3, 0, 1
Facto