 544*o**2 - 366*o - 92 = 0 for o.
-1, 46
Factor 625*p**4/4 + 400*p**3 + 687*p**2/2 + 112*p + 49/4.
(p + 1)**2*(25*p + 7)**2/4
Factor p**5 - 77*p**4 - 161*p**3 + 237*p**2.
p**2*(p - 79)*(p - 1)*(p + 3)
Factor 2*s**4/3 + 6*s**3 + 10*s**2 + 14*s/3.
2*s*(s + 1)**2*(s + 7)/3
Suppose f**3/4 + 27*f**2/2 = 0. What is f?
-54, 0
Factor -5*y**2 - 40*y - 35.
-5*(y + 1)*(y + 7)
Find n such that n**4 - 16*n**3 + 45*n**2 + 162*n = 0.
-2, 0, 9
What is j in j**2 + 38*j - 80 = 0?
-40, 2
Factor -l**4/7 - 61*l**3/7 - 958*l**2/7 - 780*l/7 + 1800/7.
-(l - 1)*(l + 2)*(l + 30)**2/7
Factor -4*n**2 + 1024*n - 65536.
-4*(n - 128)**2
Factor -u**2 - 67*u.
-u*(u + 67)
Factor -5*s**2 + 160*s.
-5*s*(s - 32)
Factor 2*z**4 - 20*z**3 + 54*z**2 - 36*z.
2*z*(z - 6)*(z - 3)*(z - 1)
Suppose -2*w**2/11 + 144*w/11 - 72 = 0. Calculate w.
6, 66
What is f in 2*f**2/9 + 70*f/3 - 212/9 = 0?
-106, 1
Solve 2*c**4/7 - 6*c**3/7 + 8*c/7 = 0.
-1, 0, 2
Factor 3*l**2 - 27.
3*(l - 3)*(l + 3)
Factor -z**3/5 + 5*z**2 - 20*z.
-z*(z - 20)*(z - 5)/5
Factor -3*a**4 - 873*a**3 - 63945*a**2 - 63075*a.
-3*a*(a + 1)*(a + 145)**2
Determine j so that 2*j**2 + 30*j - 2268 = 0.
-42, 27
Let 64*l**5 + 448*l**4 - 44*l**3 - 326*l**2 - 128*l - 14 = 0. What is l?
-7, -1/2, -1/4, 1
Determine k, given that 2*k**4/9 + 46*k**3/9 - 50*k**2/9 - 46*k/9 + 16/3 = 0.
-24, -1, 1
Solve -q**5/8 + 3*q**4/4 + 25*q**3/8 + 9*q**2/4 = 0 for q.
-2, -1, 0, 9
Factor k**4 + 8*k**3 - 19*k**2 + 10*k.
k*(k - 1)**2*(k + 10)
Factor -4*z**4 - 8*z**3 + 1728*z**2 - 17920*z + 53248.
-4*(z - 8)**3*(z + 26)
Determine a, given that -5*a**5/3 + 50*a**4/3 + 70*a**3 - 140*a**2/3 - 685*a/3 - 130 = 0.
-3, -1, 2, 13
Factor g**3/4 + 8*g**2 - 11*g - 1452.
(g - 12)*(g + 22)**2/4
Suppose -2*l**4/3 + 16*l**3/3 + 14*l**2/3 - 124*l/3 + 32 = 0. What is l?
-3, 1, 2, 8
Solve -8*z**2 - 1100*z + 552 = 0.
-138, 1/2
Let 20*l**5 + 172*l**4 - 512*l**3 + 176*l**2 = 0. What is l?
-11, 0, 2/5, 2
Let -2*k**3/15 + 104*k**2/15 + 22*k/3 - 212/15 = 0. Calculate k.
-2, 1, 53
Solve -2*v**4 - 46*v**3 - 186*v**2 - 90*v + 324 = 0.
-18, -3, 1
Factor m**5/7 - 40*m**4/7 + 580*m**3/7 - 3600*m**2/7 + 8640*m/7 - 6912/7.
(m - 12)**3*(m - 2)**2/7
Suppose -2*z**2 + 10*z - 12 = 0. What is z?
2, 3
Suppose -q**2 + 2*q + 15 = 0. Calculate q.
-3, 5
What is o in 2*o**2 + 32*o - 520 = 0?
-26, 10
Let -s**5/2 - 2*s**4 - 21*s**3/8 - 11*s**2/8 - s/4 = 0. What is s?
-2, -1, -1/2, 0
Solve -3*u**2 - 108*u + 1215 = 0.
-45, 9
Determine h so that -h**5/4 + 55*h**4 + h**3/4 - 55*h**2 = 0.
-1, 0, 1, 220
Solve 3*s**3/8 + 387*s**2/8 + 9585*s/8 - 196599/8 = 0.
-71, 13
What is l in 4*l**4/5 - 36*l**3/5 + 56*l**2/5 + 144*l/5 - 288/5 = 0?
-2, 2, 3, 6
Let -2*h**3 - 32*h**2 + 110*h - 76 = 0. Calculate h.
-19, 1, 2
Solve t**2/3 - 10*t/3 - 8 = 0 for t.
-2, 12
Factor -i**3/11 + 13*i**2/11 + 4*i/11 - 52/11.
-(i - 13)*(i - 2)*(i + 2)/11
Find o such that 5*o**4 - 30*o**3 - 75*o**2 + 500*o = 0.
-4, 0, 5
Let z**2/5 - 2234*z/5 + 1247689/5 = 0. What is z?
1117
Determine k so that -3*k**4 - 2334*k**3 - 456288*k**2 - 903264*k = 0.
-388, -2, 0
What is v in -2*v**3 + 6*v**2 - 8 = 0?
-1, 2
Determine z so that -80*z**2 + 85*z + 150 = 0.
-15/16, 2
Factor s**3 - 200*s**2 + 9588*s + 41616.
(s - 102)**2*(s + 4)
Factor 2*w**3 - 1910*w**2/3 + 7616*w/9 - 2536/9.
2*(w - 317)*(3*w - 2)**2/9
What is g in g**5/2 + 3*g**4 + 3*g**3 - 10*g**2 - 39*g/2 - 9 = 0?
-3, -1, 2
Determine y so that -3*y**2/4 + 12*y - 117/4 = 0.
3, 13
Factor -2*a**3 + 386*a**2 - 384*a.
-2*a*(a - 192)*(a - 1)
What is u in 2*u**3/9 - 28*u**2/3 + 128*u - 576 = 0?
12, 18
Determine o, given that o**5/3 + 5*o**4/3 - 17*o**3/3 - 49*o**2/3 + 160*o/3 - 100/3 = 0.
-5, 1, 2
What is t in 2*t**2/3 - 1224*t + 561816 = 0?
918
Factor -4*a**2 - 1696*a - 1692.
-4*(a + 1)*(a + 423)
Solve j**4/2 + 13*j**3/2 - 7*j**2 = 0.
-14, 0, 1
Factor -3*g**4 - 75*g**3 - 312*g**2 - 240*g.
-3*g*(g + 1)*(g + 4)*(g + 20)
Factor -5*x**4 - 150*x**3 + 315*x**2 - 160*x.
-5*x*(x - 1)**2*(x + 32)
Factor 5*t**3 + 50*t**2 + 120*t.
5*t*(t + 4)*(t + 6)
What is i in -8*i**5/7 - 52*i**4/7 + 72*i**3/7 + 608*i**2/7 - 320*i/7 - 300/7 = 0?
-5, -1/2, 1, 3
Find d such that 2*d**4/3 - 12*d**3 - 38*d**2/3 = 0.
-1, 0, 19
Let -g**2 + 847*g/10 - 169/10 = 0. Calculate g.
1/5, 169/2
Factor -16*x**2 - 964*x - 1180.
-4*(x + 59)*(4*x + 5)
Determine k so that 2*k**2 - 250*k - 252 = 0.
-1, 126
Factor 4*c**2 - 28*c - 120.
4*(c - 10)*(c + 3)
Factor g**3 - 25*g.
g*(g - 5)*(g + 5)
Find r, given that -2*r**2/3 + 18*r + 560/3 = 0.
-8, 35
Solve -45*h**3 + 102*h**2 - 69*h + 12 = 0.
4/15, 1
Solve 2*o**2 + 34*o - 76 = 0 for o.
-19, 2
Factor -f**2 + 6318*f - 9979281.
-(f - 3159)**2
Factor -43*a**3/2 - 19*a**2 + 263*a/2 - 15.
-(a - 2)*(a + 3)*(43*a - 5)/2
Let 3*t**3 + 6*t**2 - 45*t = 0. Calculate t.
-5, 0, 3
Suppose 5*r**4 + 160*r**3 + 1910*r**2 + 10080*r + 19845 = 0. What is r?
-9, -7
Let 116*n**3 - 300*n**2 + 88*n + 96 = 0. What is n?
-12/29, 1, 2
Determine d, given that -4*d**5 - 72*d**4 - 192*d**3 - 184*d**2 - 60*d = 0.
-15, -1, 0
Determine i so that 2*i**3 - 58*i**2/3 - 34*i + 154/3 = 0.
-7/3, 1, 11
Let -2*s**3/17 + 42*s**2/17 + 98*s/17 - 138/17 = 0. Calculate s.
-3, 1, 23
Factor -2*l**5/3 + 34*l**4/3 - 212*l**3/3 + 580*l**2/3 - 650*l/3 + 250/3.
-2*(l - 5)**3*(l - 1)**2/3
Factor -j**5/3 + 82*j**4/3 - 1597*j**3/3 - 1148*j**2 - 588*j.
-j*(j - 42)**2*(j + 1)**2/3
Factor -f**4/3 + 7*f**3/3 + 9*f**2 + 29*f/3 + 10/3.
-(f - 10)*(f + 1)**3/3
Suppose 3*b**5/8 + 87*b**4/8 + 39*b**3 + 75*b**2/2 = 0. What is b?
-25, -2, 0
Find u such that u**5 + 2*u**4 - 6*u**3 - 8*u**2 + 5*u + 6 = 0.
-3, -1, 1, 2
Factor m**5/4 + 3*m**4/4 - 9*m**3/4 + 5*m**2/4.
m**2*(m - 1)**2*(m + 5)/4
Suppose 14*z**2/5 + 12*z + 16/5 = 0. Calculate z.
-4, -2/7
What is c in -9*c**5 - 12*c**4 + 11*c**3 - 2*c**2 = 0?
-2, 0, 1/3
Let 21*j**2 - 11388*j + 3252 = 0. What is j?
2/7, 542
Determine s so that -12*s**4 + 33*s**3 + 42*s**2 - 117*s + 54 = 0.
-2, 3/4, 1, 3
Suppose -5*h**3 + 35*h**2 + 20*h - 140 = 0. What is h?
-2, 2, 7
Solve -5*c**2 - 15*c = 0.
-3, 0
Factor 5*p**2 + 190*p - 195.
5*(p - 1)*(p + 39)
Suppose 3*t**2 + 15*t = 0. Calculate t.
-5, 0
Find n such that -5*n**4 + 410*n**3 - 405*n**2 = 0.
0, 1, 81
Factor 5*r**3 - 225*r**2 - 465*r - 235.
5*(r - 47)*(r + 1)**2
Factor -7*o**3/9 - 2294*o**2/9 + 2959*o/9 - 658/9.
-(o - 1)*(o + 329)*(7*o - 2)/9
Solve -5*j**3 + 120*j**2 - 825*j + 1210 = 0.
2, 11
Factor 3*a**3 + 984*a**2 - 1977*a + 990.
3*(a - 1)**2*(a + 330)
Suppose -3*g**5/5 + 102*g**4/5 - 666*g**3/5 + 1068*g**2/5 + 669*g/5 - 234 = 0. Calculate g.
-1, 1, 3, 5, 26
Factor -5*v**2 - 115*v.
-5*v*(v + 23)
Determine m, given that m**3/3 + 260*m**2 + 519*m + 778/3 = 0.
-778, -1
Determine q, given that 12*q**5 + 63*q**4 + 51*q**3 - 51*q**2 - 63*q - 12 = 0.
-4, -1, -1/4, 1
Determine c, given that c**5 - 67*c**4 + 1018*c**3 + 3466*c**2 + 3605*c + 1225 = 0.
-1, 35
Factor 2*u**3 - 48*u**2/11 + 30*u/11 - 4/11.
2*(u - 1)**2*(11*u - 2)/11
Suppose -3*p**2/2 - 18*p + 39/2 = 0. Calculate p.
-13, 1
Suppose -2*r**3/9 + 148*r**2/3 - 98*r + 440/9 = 0. What is r?
1, 220
Let 4*l**2 + 228*l - 720 = 0. What is l?
-60, 3
What is a in -2*a**2 + 496*a + 498 = 0?
-1, 249
Find p such that -2*p**5 - 12*p**4 - 22*p**3 - 12*p**2 = 0.
-3, -2, -1, 0
Find t, given that -5*t**2 - 195*t = 0.
-39, 0
Suppose -27*k**5 + 252*k**4 - 66*k**3 - 132*k**2 - 27*k = 0. Calculate k.
-1/3, 0, 1, 9
What is m in -4*m**5/3 + 10340*m**4/3 - 6677048*m**3/3 - 6697736*m**2/3 + 2225684*m + 2229132 = 0?
-1, 1, 1293
Solve -4*f**2 + 224*f - 432 = 0.
2, 54
Let -15*n**4 + 10*n**3 + 15*n**2 - 10*n = 0. What is n?
-1, 0, 2/3, 1
Find h such that h**3 - 45*h**2/4 - 397*h/4 + 51/2 = 0.
-6, 1/4, 17
Suppose -n**3/2 + 559*n**2 - 2233*n/2 + 558 = 0. Calculate n.
1, 1116
Factor 4*a**2 + 72*a.
4*a*(a + 18)
Factor 3*a**2 - 18*a - 120.
3*(a - 10)*(a + 4)
Factor 2*d**3/9 + 1916*d**2/9 + 458882*d/9.
2*d*(d + 479)**2/9
Find q, given that -7*q**3 + 169*q**2 - 478*q + 336 = 0.
8/7, 2, 21
Factor 3*d**4 - 642*d**3 + 30987*d**2 + 359520*d + 940800.
3*(d - 112)**2*(d + 5)**2
Factor -4*l**2 + 268*l - 1240.
-4*(l - 62)*(l - 5)
Find w such that -4*w**3 + 548*w**2 = 0.
0, 137
Determine s so that -s**2/4 + 3*s/2 + 1147/4 = 0.
-31, 37
Determine u so that u**2/8 + 21*u/8 + 27/4 = 0.
-18, -3
Factor -3*r**4 - 16*r**3 - 14*r**2 + 24*r + 9.
-(r - 1)*(r + 3)**2*(3*r + 1)
Factor -2*n**