Factor -4*v**2 + 1256*v - 98596.
-4*(v - 157)**2
Determine c, given that 21*c**4/4 + 825*c**3/4 + 447*c**2 + 111*c = 0.
-37, -2, -2/7, 0
Factor 4*w**3 + 20*w**2 - 24*w.
4*w*(w - 1)*(w + 6)
Factor -2*m**3 + 60*m**2 - 106*m - 168.
-2*(m - 28)*(m - 3)*(m + 1)
Determine n, given that 20*n**5 - 224*n**4 + 884*n**3 - 1448*n**2 + 896*n - 128 = 0.
1/5, 1, 2, 4
Suppose -s**3/4 - 13*s**2/4 - 55*s/4 - 75/4 = 0. What is s?
-5, -3
Solve 5*i**2 + 360*i + 2560 = 0.
-64, -8
Let -c**2/9 - 23*c/3 - 68/9 = 0. What is c?
-68, -1
Factor 3*g**2 + 51*g + 156.
3*(g + 4)*(g + 13)
What is l in l**2/9 + 34*l/3 + 752/9 = 0?
-94, -8
Factor -14*t**3 + 24*t**2 + 50*t + 12.
-2*(t - 3)*(t + 1)*(7*t + 2)
Factor -2*j**3 + 32*j**2 - 138*j + 180.
-2*(j - 10)*(j - 3)**2
Suppose u**5/8 + u**4/8 - 69*u**3/4 + 115*u**2 - 284*u + 240 = 0. Calculate u.
-15, 2, 4
Find l such that -l**5/2 - 25*l**4/2 - 42*l**3 = 0.
-21, -4, 0
Factor a**2 + 13*a + 30.
(a + 3)*(a + 10)
Find l such that -3*l**3/4 - 21*l**2/4 - 9*l/2 = 0.
-6, -1, 0
What is q in -610*q**3 - 1216*q**2 - 602*q + 4 = 0?
-1, 2/305
Factor -3*c**4 + 1131*c**3.
-3*c**3*(c - 377)
Factor -4*r**4 + 159*r**3 - 1713*r**2 + 2641*r - 1083.
-(r - 19)**2*(r - 1)*(4*r - 3)
Factor m**2 - 121*m + 354.
(m - 118)*(m - 3)
Solve 4*j**5/3 + 5*j**4 - 28*j**3/3 - 10*j**2/3 + 8*j - 5/3 = 0.
-5, -1, 1/4, 1
Determine s, given that s**5 + 4*s**4 + 6*s**3 + 4*s**2 + s = 0.
-1, 0
Factor -5*s**2 - 7400*s - 2738000.
-5*(s + 740)**2
Let 2*c**3/5 - 44*c**2 + 856*c/5 - 848/5 = 0. What is c?
2, 106
What is w in -w**3/6 + 43*w**2/6 + 185*w/6 + 47/2 = 0?
-3, -1, 47
Factor -5*b**3 + 850*b**2 + 865*b - 1710.
-5*(b - 171)*(b - 1)*(b + 2)
Factor i**2 + 106*i - 107.
(i - 1)*(i + 107)
Factor 4*r**4 + 1176*r**3 + 1172*r**2.
4*r**2*(r + 1)*(r + 293)
Find c, given that 20*c**5/7 - 116*c**4 + 7052*c**3/7 - 9428*c**2/7 + 848*c/7 + 2320/7 = 0.
-2/5, 1, 10, 29
Factor 10*p**3 + 5*p**2.
5*p**2*(2*p + 1)
Factor 2*x**5/3 - 2*x**4/3 - 4*x**3/3.
2*x**3*(x - 2)*(x + 1)/3
Solve p**3 - 58*p**2 + 841*p = 0.
0, 29
Solve -4*s**2 + 6240*s - 2433600 = 0 for s.
780
Factor -s**4/8 + s**3/4 + 7*s**2/8 - 5*s/2 + 3/2.
-(s - 2)**2*(s - 1)*(s + 3)/8
Suppose q**3 - 48*q**2 - q + 48 = 0. Calculate q.
-1, 1, 48
Factor 5*q**2 - 90*q + 85.
5*(q - 17)*(q - 1)
Determine h, given that -3*h**2 + 48*h - 165 = 0.
5, 11
Factor -5*o**5 + 1180*o**4 - 76340*o**3 + 792960*o**2 - 2257920*o.
-5*o*(o - 112)**2*(o - 6)**2
Determine v so that -3*v**4 - 24*v**3 - 63*v**2 - 66*v - 24 = 0.
-4, -2, -1
Factor -5*v**4 - 70*v**3 - 145*v**2 + 880*v + 960.
-5*(v - 3)*(v + 1)*(v + 8)**2
Let -4205*l**5 + 80185*l**4 - 476475*l**3 + 839935*l**2 - 56240*l + 960 = 0. Calculate l.
1/29, 3, 8
Factor -27*t**3 - 267*t**2 - 645*t + 75.
-3*(t + 5)**2*(9*t - 1)
Suppose -5*n**3 + 30*n**2 - 15*n - 50 = 0. What is n?
-1, 2, 5
Factor -y**2/2 + 993*y/2 + 497.
-(y - 994)*(y + 1)/2
Find a such that 5*a**3 + 100*a**2 + 495*a = 0.
-11, -9, 0
Let -4*u**2 + 200*u - 384 = 0. Calculate u.
2, 48
Suppose 5*m**2/3 + 535*m/3 - 1090/3 = 0. What is m?
-109, 2
Factor -50*k**4/3 - 8*k**3/3.
-2*k**3*(25*k + 4)/3
Factor -2*o**3 + 112*o**2 + 230*o + 116.
-2*(o - 58)*(o + 1)**2
Factor 2*j**2/3 + 16*j/3 + 32/3.
2*(j + 4)**2/3
Determine d, given that -d**4/2 + 6*d**3 + 17*d**2 - 306*d + 567/2 = 0.
-7, 1, 9
Suppose -k**5/5 - k**4/10 + 4*k**3/5 + k**2/10 - 3*k/5 = 0. Calculate k.
-2, -1, 0, 1, 3/2
Factor -m**4/4 - 17*m**3/4 - 24*m**2 - 45*m.
-m*(m + 5)*(m + 6)**2/4
Factor 2*v**3 - 84*v**2 - 90*v + 172.
2*(v - 43)*(v - 1)*(v + 2)
Factor 5*k**5 + 25*k**4 - 40*k**3 - 60*k**2.
5*k**2*(k - 2)*(k + 1)*(k + 6)
Suppose -q**5/5 - 8*q**4/5 - 22*q**3/5 - 24*q**2/5 - 9*q/5 = 0. What is q?
-3, -1, 0
Solve 4*u**3 + 76*u**2 - 4*u - 76 = 0 for u.
-19, -1, 1
Factor -4*g**2 + 9200*g - 9196.
-4*(g - 2299)*(g - 1)
Suppose 5*j**3 + 160*j**2 + 1105*j - 2890 = 0. What is j?
-17, 2
Solve 3*q**4 + 6*q**3 - 225*q**2 + 744*q - 528 = 0.
-11, 1, 4
Factor -2*c**4 - 652*c**3 - 70632*c**2 - 2518772*c + 2590058.
-2*(c - 1)*(c + 109)**3
Factor -4*d**3/5 - 52*d**2 - 988*d/5 - 732/5.
-4*(d + 1)*(d + 3)*(d + 61)/5
Solve 22*t**2/3 - 112*t/3 + 10/3 = 0 for t.
1/11, 5
Let 35*m**5/8 - 71*m**4/2 + 147*m**3/2 - 4*m**2 - 8*m = 0. What is m?
-2/7, 0, 2/5, 4
Factor -2*w**3/9 + 118*w**2/9 - 548*w/9 + 48.
-2*(w - 54)*(w - 4)*(w - 1)/9
Solve c**4/7 - 134*c**3 - 2823*c**2/7 - 4*c/7 + 3764/7 = 0.
-2, 1, 941
Factor 2*i**4/5 + 36*i**3/5 + 232*i**2/5 + 624*i/5 + 576/5.
2*(i + 2)*(i + 4)*(i + 6)**2/5
Factor 121*d**4/4 + 891*d**3/2 + 8541*d**2/4 + 3645*d + 2025.
(d + 6)**2*(11*d + 15)**2/4
Factor 5*s**2 + 65*s.
5*s*(s + 13)
Factor -b**2 - 63*b + 130.
-(b - 2)*(b + 65)
Let -2*h**5/7 - 2*h**4 + 6*h**3/7 + 86*h**2/7 - 124*h/7 + 48/7 = 0. Calculate h.
-6, -4, 1
Let -32*b**4 + 40*b**3 + 367*b**2/2 - 95*b/2 + 3 = 0. Calculate b.
-2, 1/8, 3
Factor -q**2/4 - 4*q - 7.
-(q + 2)*(q + 14)/4
Factor t**5/7 + 108*t**4/7 + 3884*t**3/7 + 46224*t**2/7 - 15552*t/7 - 186624/7.
(t - 2)*(t + 2)*(t + 36)**3/7
Factor 2*y**3/5 - 28*y**2/5 + 14*y - 44/5.
2*(y - 11)*(y - 2)*(y - 1)/5
Factor 15*z**3/4 + 18009*z**2/4 - 3603*z/2.
3*z*(z + 1201)*(5*z - 2)/4
Factor -148*b**4 - 288*b**3 - 132*b**2 + 8*b.
-4*b*(b + 1)**2*(37*b - 2)
Factor -16*w**3 + 28*w**2 + 8*w.
-4*w*(w - 2)*(4*w + 1)
Let -2*r**4/15 - 2*r**3/5 + 74*r**2/15 - 22*r/5 - 48/5 = 0. Calculate r.
-8, -1, 3
Factor -8*b**3 - 42*b**2 + 182*b + 48.
-2*(b - 3)*(b + 8)*(4*b + 1)
Find y such that 2*y**2/11 + 46*y/11 + 152/11 = 0.
-19, -4
Solve -625*w**5 - 3075*w**4 - 1626*w**3 + 5770*w**2 - 453*w + 9 = 0 for w.
-3, 1/25, 1
Factor -2*t**3/5 - 52*t**2/5 + 1022*t/5 - 784.
-2*(t - 7)**2*(t + 40)/5
Suppose n**2/5 - n/5 - 2/5 = 0. Calculate n.
-1, 2
What is v in v**4/5 + 22*v**3 + 3613*v**2/5 + 6468*v + 86436/5 = 0?
-49, -6
Factor -5*r**3 + 120*r**2 - 960*r + 2560.
-5*(r - 8)**3
Solve -2*h**5/11 + 18*h**4/11 - 54*h**3/11 + 46*h**2/11 + 48*h/11 - 72/11 = 0 for h.
-1, 2, 3
Suppose 18*v**5/5 - 372*v**4/5 + 1514*v**3/5 + 4216*v**2/5 + 2312*v/5 = 0. What is v?
-1, 0, 34/3
Find l such that 20*l**5/3 - 404*l**4/3 + 2000*l**3/3 - 3904*l**2/3 + 2944*l/3 - 448/3 = 0.
1/5, 2, 14
Factor -2*f**4/11 - 68*f**3/11 - 642*f**2/11 - 1088*f/11 - 512/11.
-2*(f + 1)**2*(f + 16)**2/11
Solve 2*u**2/3 - 476*u/3 + 470 = 0.
3, 235
Factor -3*i**3 - 12*i**2 - 9*i.
-3*i*(i + 1)*(i + 3)
Determine l, given that -128*l**4/5 - 288*l**3/5 - 24*l**2 + 10*l = 0.
-5/4, 0, 1/4
Factor 2*t**2/7 - 10*t/7.
2*t*(t - 5)/7
Factor -j**3/3 - 10*j**2/3 + j + 36.
-(j - 3)*(j + 4)*(j + 9)/3
Factor c**3 - 6*c**2 + 8*c.
c*(c - 4)*(c - 2)
Factor -2*c**2/3 - 16*c/3.
-2*c*(c + 8)/3
Factor -5*z**5 - 73*z**4 - 300*z**3 - 448*z**2 - 128*z + 144.
-(z + 2)**3*(z + 9)*(5*z - 2)
Factor n**2 + 196*n + 9604.
(n + 98)**2
Factor -184*m**3/7 - 200*m**2/7 - 62*m/7 - 4/7.
-2*(2*m + 1)**2*(23*m + 2)/7
Find v, given that -v**2/3 + 5*v = 0.
0, 15
Factor -g**3 - 32*g**2 - 227*g + 260.
-(g - 1)*(g + 13)*(g + 20)
Factor 2*k**2/11 - 76*k/11 + 74/11.
2*(k - 37)*(k - 1)/11
Factor 4*c**3/5 - 16*c**2/5 + 4*c - 8/5.
4*(c - 2)*(c - 1)**2/5
Let -r**2 + 44*r + 92 = 0. Calculate r.
-2, 46
What is t in 10*t**2 + 258*t - 52 = 0?
-26, 1/5
Solve -4*w**3 - 216*w**2 - 1536*w - 2944 = 0 for w.
-46, -4
Find p such that -4*p**3 - 1256*p**2 + 5072*p - 5088 = 0.
-318, 2
Let h**4 - 13*h**3 - 169*h**2 + 2197*h = 0. What is h?
-13, 0, 13
Let c**4/2 - 7*c**3 + 33*c**2/2 + 56*c + 32 = 0. Calculate c.
-1, 8
Factor -w**3/2 + 97*w**2/2 - 719*w/2 + 623/2.
-(w - 89)*(w - 7)*(w - 1)/2
Find c, given that c**4 - 5*c**2 + 4 = 0.
-2, -1, 1, 2
Suppose -2*x**5/9 - 32*x**4/3 + 518*x**3/9 - 644*x**2/9 - 136*x/3 + 848/9 = 0. Calculate x.
-53, -1, 2
What is x in -4*x**3 - 24*x**2 - 20*x + 48 = 0?
-4, -3, 1
Determine r so that -r**5/7 - 355*r**4/7 - 32383*r**3/7 - 155929*r**2/7 - 35200*r - 17500 = 0.
-175, -2, -1
Let x**2 + 40*x/3 + 13/3 = 0. Calculate x.
-13, -1/3
Factor -k**2/2 + 642*k - 206082.
-(k - 642)**2/2
What is o in 8*o**3/5 + 6*o**2/5 = 0?
-3/4, 0
Factor 5*d**3 + 100*d**2 + 240*d - 2880.
5*(d - 4)*(d + 12)**2
Solve -1272112*v**5 - 939292*v**4 + 1333688*v**3 + 745808*v**2 + 125048*v + 6860 = 0.
-5/4, -7/43, 1
Factor q**5 - 8*q**4 - 57*q**3 - 100*q**2 - 52*q.
q*(q - 13)*(q + 1)*(q + 2)**2
Solve m**5/5 + 34*m**4/5 - 72*m**3/5 = 0.
-36, 0, 2
What is x in -x**3/7 + 4*x**2/7 - x/7 - 6/7 = 0?
-1, 2, 3
What is c in 8