
Find n, given that -364*n**5 + 836*n**4 - 224*n**3 + 16*n**2 = 0.
0, 1/7, 2/13, 2
Factor -2*b**3/15 - 196*b**2/15 - 194*b/15.
-2*b*(b + 1)*(b + 97)/15
Find l such that -2*l**4/9 - 424*l**3/9 - 21608*l**2/9 + 10176*l - 10368 = 0.
-108, 2
Factor -4*z**3/9 + 2612*z**2/9 - 141700*z/3 - 47524.
-4*(z - 327)**2*(z + 1)/9
Factor 5*s**3 - 35*s**2 - 245*s + 275.
5*(s - 11)*(s - 1)*(s + 5)
Let -i**3 - i**2 + 8*i + 12 = 0. Calculate i.
-2, 3
Find l such that 5*l**4 + 30*l**3 + 25*l**2 = 0.
-5, -1, 0
Factor 5*o**2 - 105*o + 490.
5*(o - 14)*(o - 7)
Suppose -15*d**2 + 72*d + 15 = 0. What is d?
-1/5, 5
Solve -20*l**2 - 36*l + 8 = 0 for l.
-2, 1/5
Determine z so that -7*z**2/6 - 67*z/2 + 29/3 = 0.
-29, 2/7
Factor q**2/4 + 25*q + 99/4.
(q + 1)*(q + 99)/4
Factor -5*h**3 - 30*h**2 - 25*h + 60.
-5*(h - 1)*(h + 3)*(h + 4)
Suppose -80*g**5 + 2460*g**4 - 30485*g**3/4 - 51285*g**2/4 - 11315*g/4 - 675/4 = 0. Calculate g.
-1, -1/8, 5, 27
Factor -75*i**3/2 + 615*i**2/2 + 264*i + 54.
-3*(i - 9)*(5*i + 2)**2/2
Factor -5547*s**4 - 6579*s**3 - 1080*s**2 - 48*s.
-3*s*(s + 1)*(43*s + 4)**2
Let -2*h**4/5 - 248*h**3/5 - 2016*h**2 - 127008*h/5 + 296352/5 = 0. Calculate h.
-42, 2
Solve -3*b**3/7 - 18*b**2/7 = 0 for b.
-6, 0
Determine w, given that -5*w**4 + 4210*w**3 - 890405*w**2 + 1768200*w - 882000 = 0.
1, 420
Let -35*j**4 - 235*j**3 - 140*j**2 + 60*j = 0. Calculate j.
-6, -1, 0, 2/7
Factor -d**3/5 + d**2 + 473*d/5 + 3267/5.
-(d - 27)*(d + 11)**2/5
Factor 2*a**4/9 - 68*a**3/9 + 88*a**2 - 432*a + 768.
2*(a - 16)*(a - 6)**3/9
What is d in 2*d**4 - 10*d**3 - 48*d**2 - 8*d + 64 = 0?
-2, 1, 8
What is h in 2*h**3/7 + 132*h**2/7 + 496*h/7 = 0?
-62, -4, 0
Find i, given that 2*i**3/3 - 290*i**2/3 + 856*i/3 - 568/3 = 0.
1, 2, 142
Solve 2*s**5 + 10*s**4 - 8*s**3 - 40*s**2 = 0 for s.
-5, -2, 0, 2
Factor -f**2 + 1870*f - 874225.
-(f - 935)**2
Factor -2*t**5/9 + 10*t**4/3 - 6*t**3 + 26*t**2/9.
-2*t**2*(t - 13)*(t - 1)**2/9
Factor 2*n**3 + 338*n**2 + 1628*n - 1968.
2*(n - 1)*(n + 6)*(n + 164)
Factor -4*v**5 + 4*v**4 + 8*v**3.
-4*v**3*(v - 2)*(v + 1)
Suppose 4*m**4/7 - 216*m**3/7 + 624*m**2/7 - 88*m + 204/7 = 0. What is m?
1, 51
Solve 5*j**2 - 475*j = 0.
0, 95
Factor 3*t**3 - 30*t**2 + 69*t - 42.
3*(t - 7)*(t - 2)*(t - 1)
Factor 4*z**3 - 128*z**2 + 244*z - 120.
4*(z - 30)*(z - 1)**2
Factor -75*x**3 - 580*x**2 + 175*x + 120.
-5*(x + 8)*(3*x + 1)*(5*x - 3)
Factor 1361*i**2/3 - 4085*i/3 + 2.
(i - 3)*(1361*i - 2)/3
Factor r**4/3 - 10*r**3 + 61*r**2 - 154*r/3.
r*(r - 22)*(r - 7)*(r - 1)/3
Factor 3*q**3 - 1656*q**2.
3*q**2*(q - 552)
Factor 2*b**3/7 + 6*b**2 - 36*b + 208/7.
2*(b - 4)*(b - 1)*(b + 26)/7
Suppose -x**3 - 9*x**2 - 8*x = 0. What is x?
-8, -1, 0
Let -3*i**4/8 + 3*i**3/4 + 15*i**2/8 - 9*i/4 = 0. What is i?
-2, 0, 1, 3
Let -2*f**4/3 + 4880*f**3/3 - 1488400*f**2 + 1815848000*f/3 - 276916820000/3 = 0. Calculate f.
610
Factor 10*i**2 - 275*i - 140.
5*(i - 28)*(2*i + 1)
Determine l so that -7*l**4/5 - l**3 + 86*l**2/5 - 24*l/5 = 0.
-4, 0, 2/7, 3
Determine f, given that -2*f**3/7 + 428*f**2/7 + 862*f/7 + 432/7 = 0.
-1, 216
Solve -m**2/2 + 5*m - 25/2 = 0.
5
Factor -3*o**3/2 + 49*o**2/2 + 280*o - 96.
-(o - 24)*(o + 8)*(3*o - 1)/2
Let 50*t**5 - 180*t**4/7 - 3174*t**3/7 + 1636*t**2/7 + 216*t/7 - 144/7 = 0. Calculate t.
-3, -2/7, 2/5, 3
Suppose d**2/2 + 109*d = 0. What is d?
-218, 0
Suppose l**5 + 3*l**4 - 9*l**3 + 5*l**2 = 0. What is l?
-5, 0, 1
Factor 24*c**4 + 340*c**3 + 364*c**2.
4*c**2*(c + 13)*(6*c + 7)
Factor v**4/3 + v**3 - 32*v**2/3 + 20*v - 32/3.
(v - 2)**2*(v - 1)*(v + 8)/3
Suppose 2*f**3/3 + 80*f**2/3 - 56*f = 0. Calculate f.
-42, 0, 2
Factor 2*j**3/5 - 2*j**2/5 - 2*j/5 + 2/5.
2*(j - 1)**2*(j + 1)/5
Find v such that 4*v**4/3 - 43*v**3 + 1028*v**2/3 - 587*v + 126 = 0.
1/4, 2, 9, 21
What is q in -3*q**2 + 90*q + 93 = 0?
-1, 31
Suppose a**2/4 - 17*a/4 - 15 = 0. Calculate a.
-3, 20
Solve h**4/8 - 153*h**3/4 - 615*h**2/8 - 77*h/2 = 0.
-1, 0, 308
Factor -5*t**3 - 190*t**2 + 605*t - 410.
-5*(t - 2)*(t - 1)*(t + 41)
Factor 3*c**2/4 - 57*c/4 + 117/2.
3*(c - 13)*(c - 6)/4
Factor -3*z**3/5 + 111*z**2/5 - 1008*z/5.
-3*z*(z - 21)*(z - 16)/5
Let 15*o**5 - 18*o**4 - 948*o**3/5 + 54*o**2 + 729*o/5 - 324/5 = 0. What is o?
-3, -1, 3/5, 4
Factor g**4/11 + 3*g**3/11 - g**2/11 - 3*g/11.
g*(g - 1)*(g + 1)*(g + 3)/11
Solve n**3/5 - 13*n**2/5 + 11*n - 15 = 0 for n.
3, 5
Solve 2*f**3/3 - 100*f**2/3 - 224*f/3 + 832/3 = 0.
-4, 2, 52
Factor 2*j**2/11 + 56*j/11 + 392/11.
2*(j + 14)**2/11
Determine q so that -4*q**3 - 440*q**2 - 436*q = 0.
-109, -1, 0
Suppose -4*n**5 + 200*n**4 - 2288*n**3 - 5408*n**2 = 0. Calculate n.
-2, 0, 26
Factor z**4 + 600*z**3 + 90597*z**2 + 178802*z.
z*(z + 2)*(z + 299)**2
Factor 2*m**4 - 32*m**3 + 26*m**2 + 60*m.
2*m*(m - 15)*(m - 2)*(m + 1)
Determine r, given that -r**3/7 - 14*r**2 - 343*r = 0.
-49, 0
Factor -4*d**2 + 3512*d - 770884.
-4*(d - 439)**2
Suppose -8*w**3 + 22*w**2 + 6*w = 0. What is w?
-1/4, 0, 3
Find z, given that -4*z**3 - 948*z**2 - 2816*z - 1872 = 0.
-234, -2, -1
Factor -6*a**3/7 + 86*a**2 - 15200*a/7 + 5000/7.
-2*(a - 50)**2*(3*a - 1)/7
What is a in -a**3/9 - 53*a**2/3 - 208*a/3 - 620/9 = 0?
-155, -2
Factor -r**5 - 3059*r**4 - 2343955*r**3 - 7013521*r**2 - 7007408*r - 2334784.
-(r + 1)**3*(r + 1528)**2
Find l, given that 5*l**2/4 + 1545*l/2 - 1550 = 0.
-620, 2
Determine l, given that 14*l**3 - 6*l**2 = 0.
0, 3/7
Factor -33*f**2/2 - 15*f + 3/2.
-3*(f + 1)*(11*f - 1)/2
Factor c**2 + 150*c + 4469.
(c + 41)*(c + 109)
Determine y, given that -3*y**3 + 1374*y**2 + 1377*y = 0.
-1, 0, 459
Factor 2*g**3 + 6*g**2/5 - 204*g/5 + 16.
2*(g - 4)*(g + 5)*(5*g - 2)/5
Factor -2*h**4 + 12*h**3 - 26*h**2 + 24*h - 8.
-2*(h - 2)**2*(h - 1)**2
Solve -q**2 - 55*q = 0.
-55, 0
Solve -c**5/6 + 3*c**4 - 15*c**3/2 = 0 for c.
0, 3, 15
Factor 2*j**3 - 1018*j**2 - 6162*j - 9270.
2*(j - 515)*(j + 3)**2
Solve -4*k**2/5 - 33*k/5 + 27/5 = 0.
-9, 3/4
Suppose 3*b**2/4 - 93*b/2 + 531/4 = 0. What is b?
3, 59
Factor p**4 + 2*p**3.
p**3*(p + 2)
Determine j so that 3*j**2 + 633*j + 4284 = 0.
-204, -7
Factor 2*o**3/7 + 766*o**2/7 - 1538*o/7 + 110.
2*(o - 1)**2*(o + 385)/7
Let 3*l**3/5 + 6*l**2 - 81*l/5 - 108/5 = 0. What is l?
-12, -1, 3
Find o such that o**2/6 - 163*o/6 + 27 = 0.
1, 162
Find k such that 4*k**4 + 48*k**3 + 152*k**2 + 48*k - 252 = 0.
-7, -3, 1
What is c in c**5/8 - 11*c**4/2 + 673*c**3/8 - 1981*c**2/4 + 1519*c/2 - 343 = 0?
1, 14
Factor u**3/3 + 146*u**2/3 + 96*u.
u*(u + 2)*(u + 144)/3
Determine v so that 3*v**2 - 42*v = 0.
0, 14
What is w in 196*w**4 + 6972*w**3 + 10600*w**2 + 4368*w + 544 = 0?
-34, -1, -2/7
Factor 2*j**2/11 - 690*j/11 - 692/11.
2*(j - 346)*(j + 1)/11
What is w in w**4 + 30*w**3 + 277*w**2 + 780*w + 676 = 0?
-13, -2
Factor 5*x**3 + 42*x**2 + 51*x + 14.
(x + 1)*(x + 7)*(5*x + 2)
Determine h, given that -4*h**2/5 - 1268*h/5 + 1272/5 = 0.
-318, 1
Factor 2*v**3/13 - 18*v**2/13 + 16*v/13.
2*v*(v - 8)*(v - 1)/13
Solve 3*p**2 + 954*p + 1896 = 0 for p.
-316, -2
Factor -24*n**3 + 152*n**2 - 50*n/3 - 2500/3.
-2*(n + 2)*(6*n - 25)**2/3
Factor -2*y**2/13 + 116*y/13.
-2*y*(y - 58)/13
Factor 3*y**5/7 - 15*y**4/7 + 24*y**3/7 - 12*y**2/7.
3*y**2*(y - 2)**2*(y - 1)/7
Factor c**2/2 - 21*c/2 - 116.
(c - 29)*(c + 8)/2
Factor -m**4/4 - 4*m**3 + 72*m**2 - 320*m + 448.
-(m - 4)**3*(m + 28)/4
Find w, given that w**5/4 - 9*w**4/4 - 4*w**3 + 14*w**2 + 12*w - 20 = 0.
-2, 1, 2, 10
Factor v**2/3 + 13*v/3.
v*(v + 13)/3
What is g in 4*g**5 + 8*g**4 - 52*g**3 + 40*g**2 = 0?
-5, 0, 1, 2
Factor 4*g**3 + 100*g**2 + 400*g.
4*g*(g + 5)*(g + 20)
Factor 108*d**2 - 1260*d + 3675.
3*(6*d - 35)**2
Let -3*t**2/2 - 27*t - 51/2 = 0. What is t?
-17, -1
What is c in 4*c**5 - 56*c**4 + 292*c**3 - 688*c**2 + 704*c - 256 = 0?
1, 4
Factor -4*z**5 - 24*z**4 - 8*z**3 + 80*z**2 + 108*z + 40.
-4*(z - 2)*(z + 1)**3*(z + 5)
Find j, given that -2*j**5/23 + 30*j**4/23 - 38*j**3/23 - 534*j**2/23 - 824*j/23 - 360/23 = 0.
-2, -1, 9, 10
Factor -5*z**2 - 1380*z - 95220.
-5*(z + 138)**2
Suppose 3*j**2 + 1668*j - 1671 = 0. What is j?
-557, 1
Let -1029*n**5 + 1470*n**4 + 42*n**3 - 384*n**2 - 93*n - 6 = 0. Calculate n.
-2/7, -1/7, 1
Find v such that -v**3/5 - 2*v**2/5 + 15*v + 216/5 = 0.
-8, -3, 9
Suppose -g**2 + 7512*g - 14107536 = 0. What is g?
3756
What is k in -15*k**4/4 + 89*k**3/4 + 2*k**2 - 3*k = 0?
-2/5, 0, 1/3, 6
Factor 5*k**4 + 315*k**3 