o = 0.
-1/4, 0, 2, 25
Factor -w**4/4 - 135*w**3/4 - 2501*w**2/2 - 7488*w - 10240.
-(w + 2)*(w + 5)*(w + 64)**2/4
Factor -5*l**5 - 5*l**4 + 25*l**3 - 15*l**2.
-5*l**2*(l - 1)**2*(l + 3)
Suppose -z**4 + 2*z**3 + 15*z**2 + 4*z - 20 = 0. What is z?
-2, 1, 5
Let -3*f**4/7 + 363*f**3/7 - 360*f**2/7 = 0. Calculate f.
0, 1, 120
Find w such that 2*w**3 + 54*w**2 + 148*w + 96 = 0.
-24, -2, -1
Factor 4*g**3 + 72*g**2 - 76*g.
4*g*(g - 1)*(g + 19)
Let 8*l**5/11 + 26*l**4 - 688*l**3/11 - 134*l**2/11 + 680*l/11 - 152/11 = 0. What is l?
-38, -1, 1/4, 1, 2
Solve 5*g**4 + 20*g**3 + 5*g**2 - 30*g = 0 for g.
-3, -2, 0, 1
Determine b so that 2*b**2/11 - 24*b/11 - 26/11 = 0.
-1, 13
Solve 5*t**2 - 3365*t - 3370 = 0 for t.
-1, 674
Find t, given that 2*t**3 + 120*t**2 + 234*t + 116 = 0.
-58, -1
Suppose -3*p**5 + 42*p**4 - 222*p**3 + 552*p**2 - 639*p + 270 = 0. Calculate p.
1, 2, 3, 5
Factor 4*h**3 + 40*h**2 + 116*h + 80.
4*(h + 1)*(h + 4)*(h + 5)
Factor -3*r**4 - 27*r**3 + 99*r**2 - 105*r + 36.
-3*(r - 1)**3*(r + 12)
Factor -l**2/2 + 329*l/2 - 164.
-(l - 328)*(l - 1)/2
Factor s**2 - 24*s + 63.
(s - 21)*(s - 3)
Let -5*p**2 - 455*p - 1320 = 0. What is p?
-88, -3
Determine s so that -s**5 + 361*s**4 - 33118*s**3 + 97198*s**2 - 96481*s + 32041 = 0.
1, 179
Factor v**2/3 + 119*v/3 - 572.
(v - 13)*(v + 132)/3
Factor 10*a**2/11 - 938*a/11 + 928/11.
2*(a - 1)*(5*a - 464)/11
Find x such that -4*x**4 + 32*x**3 - 92*x**2 + 112*x - 48 = 0.
1, 2, 3
Factor -c**2/2 + 263*c/2 + 132.
-(c - 264)*(c + 1)/2
Solve -v**3/2 - 17*v**2/10 + 7*v/5 + 4/5 = 0.
-4, -2/5, 1
Suppose 6*h**3 + 154*h**2/5 + 4*h = 0. What is h?
-5, -2/15, 0
Factor 4*z**3 + 108*z**2 + 204*z + 100.
4*(z + 1)**2*(z + 25)
Find s, given that 10*s**5 + 65*s**4 - 40*s**3 - 35*s**2 = 0.
-7, -1/2, 0, 1
What is v in v**2 - 42*v + 41 = 0?
1, 41
Factor 2*u**2 - 50*u + 132.
2*(u - 22)*(u - 3)
Solve -u**5/8 + 3*u**4/8 + 5*u**3/8 - 15*u**2/8 - u/2 + 3/2 = 0 for u.
-2, -1, 1, 2, 3
Factor -4*f**5 - 344*f**4 - 340*f**3.
-4*f**3*(f + 1)*(f + 85)
Solve 5*x**3/6 - 235*x**2/3 - 5*x/6 + 235/3 = 0.
-1, 1, 94
Factor r**3 - 6*r**2 + 5*r + 12.
(r - 4)*(r - 3)*(r + 1)
Factor -f**2 + 41*f + 180.
-(f - 45)*(f + 4)
Solve 8*d**4/3 - 76*d**3/3 - 140*d**2/3 + 88*d/3 = 0.
-2, 0, 1/2, 11
Factor -2*d**4/7 - 10*d**3/7 - 16*d**2/7 - 8*d/7.
-2*d*(d + 1)*(d + 2)**2/7
Factor -8*d**3 - 106*d**2 + 214*d + 60.
-2*(d - 2)*(d + 15)*(4*d + 1)
Factor -9*b**2/11 + 37*b/11 - 4/11.
-(b - 4)*(9*b - 1)/11
Factor -s**2/5 + 4*s/5 + 12/5.
-(s - 6)*(s + 2)/5
Factor 2*s**2 - 40*s - 42.
2*(s - 21)*(s + 1)
Factor 3*p**4 + 99*p**3 + 186*p**2.
3*p**2*(p + 2)*(p + 31)
Factor j**2/5 + 26*j/5 - 336.
(j - 30)*(j + 56)/5
Factor -4*w**3 - 76*w**2 + 180*w + 252.
-4*(w - 3)*(w + 1)*(w + 21)
Factor 108*g**3 + 220*g**2 - 316*g - 12.
4*(g - 1)*(g + 3)*(27*g + 1)
Factor -3*z**3 - 9*z**2 + 66*z + 72.
-3*(z - 4)*(z + 1)*(z + 6)
Determine o, given that -o**4/2 - 10*o**3 - 101*o**2/2 - 23*o + 84 = 0.
-12, -7, -2, 1
Factor r**2 - 3*r - 54.
(r - 9)*(r + 6)
Factor -4*h**5 - 32*h**4 - 64*h**3.
-4*h**3*(h + 4)**2
Find a, given that 2*a**3/21 + 50*a**2/7 + 962*a/7 + 2738/21 = 0.
-37, -1
What is m in -4*m**3/7 - 376*m**2/7 - 8448*m/7 + 18432/7 = 0?
-48, 2
Let -2*w**5/23 + 36*w**4/23 + 6*w**3/23 - 104*w**2/23 - 72*w/23 = 0. What is w?
-1, 0, 2, 18
Factor 3*w**2/5 + 3*w + 18/5.
3*(w + 2)*(w + 3)/5
Factor 3*o**3 + 450*o**2 - 1371*o + 918.
3*(o - 2)*(o - 1)*(o + 153)
Factor 5*s**5 - 15*s**3 + 10*s**2.
5*s**2*(s - 1)**2*(s + 2)
Find v such that 2*v**3/5 - 6*v**2/5 - 4*v = 0.
-2, 0, 5
Factor 2*m**4 + 150*m**3 + 1488*m**2 + 5216*m + 6144.
2*(m + 3)*(m + 4)**2*(m + 64)
Factor 2*g**3 - 220*g**2 + 7506*g - 81648.
2*(g - 56)*(g - 27)**2
Find n such that -n**5 - 5*n**4 + 66*n**3 - 196*n**2 + 232*n - 96 = 0.
-12, 1, 2
Find s such that -2*s**4/9 + 46*s**3/9 + 208*s**2/9 + 24*s = 0.
-2, 0, 27
Factor f**5/11 - 5*f**4/11 - 41*f**3/11 - 83*f**2/11 - 68*f/11 - 20/11.
(f - 10)*(f + 1)**3*(f + 2)/11
Determine y, given that -11*y**3/5 - 13*y**2/10 + 6*y/5 = 0.
-12/11, 0, 1/2
What is d in -12*d**2/7 + 180*d/7 - 675/7 = 0?
15/2
What is w in 3*w**5 - 33*w**4 - 99*w**3 + 249*w**2 + 348*w - 468 = 0?
-3, -2, 1, 2, 13
What is c in -2*c**4/3 - 68*c**3/3 - 616*c**2/3 - 1372*c/3 + 686 = 0?
-21, -7, 1
Solve 42*v**5/5 - 278*v**4/5 + 132*v**3/5 + 152*v**2/5 - 48*v/5 = 0.
-2/3, 0, 2/7, 1, 6
Let -u**4/3 + 4*u**3/3 + 5*u**2/3 = 0. Calculate u.
-1, 0, 5
Find b such that 4*b**3 + 78*b**2 + 153*b/4 + 19/4 = 0.
-19, -1/4
Factor d**4 - 57*d**3 - d**2 + 57*d.
d*(d - 57)*(d - 1)*(d + 1)
Let 245*o**4 + 2310*o**3 + 4745*o**2 - 3300*o + 500 = 0. Calculate o.
-5, 2/7
Determine a so that 40*a**4/3 - 64*a**3/3 - 46*a**2/3 + 22*a/3 + 4 = 0.
-1/2, 3/5, 2
Determine o, given that 21*o**5/4 - 27*o**4/4 - 57*o**3/4 + 123*o**2/4 - 18*o + 3 = 0.
-2, 2/7, 1
Factor -n**3/5 - 514*n**2/5 + n/5 + 514/5.
-(n - 1)*(n + 1)*(n + 514)/5
Suppose 2*n**2 - 14*n - 16 = 0. Calculate n.
-1, 8
Determine j so that -3*j**2/4 - 2259*j/4 - 564 = 0.
-752, -1
What is y in 4*y**5/3 - 40*y**4/3 + 16*y**3 + 136*y**2/3 - 52*y/3 - 32 = 0?
-1, 1, 3, 8
Determine o so that -12*o**3/5 + 832*o**2/5 - 3396*o/5 + 208 = 0.
1/3, 4, 65
Factor -5*k**5 + 45*k**4 - 90*k**3.
-5*k**3*(k - 6)*(k - 3)
Factor -u**2 - 381*u - 380.
-(u + 1)*(u + 380)
Factor -16*i**4 - 24*i**3 + 23*i**2 + 15*i + 2.
-(i - 1)*(i + 2)*(4*i + 1)**2
Factor -m**3 - 16*m**2 - 77*m - 98.
-(m + 2)*(m + 7)**2
Suppose -2*j**2/3 - 46*j/3 + 16 = 0. Calculate j.
-24, 1
Factor -4*y**4 - 276*y**3 - 268*y**2 + 276*y + 272.
-4*(y - 1)*(y + 1)**2*(y + 68)
Find g, given that -8*g**4/9 + 250*g**3/9 - 2596*g**2/9 + 8954*g/9 = 0.
0, 37/4, 11
Let -17*l**5 + 14*l**4 + 3*l**3 = 0. Calculate l.
-3/17, 0, 1
Solve 2*t**2/17 + 200*t/17 + 950/17 = 0 for t.
-95, -5
Factor 4*q**4 - 36*q**3 - 144*q**2.
4*q**2*(q - 12)*(q + 3)
Factor 15*p**2/7 + 3*p + 6/7.
3*(p + 1)*(5*p + 2)/7
Let -9*u**4 - 6*u**3 + 336*u**2 - 426*u + 105 = 0. Calculate u.
-7, 1/3, 1, 5
What is n in -3*n**3/2 + 21*n**2/2 + 45*n = 0?
-3, 0, 10
Suppose 6*g**2 - 15*g/8 = 0. Calculate g.
0, 5/16
Factor w**3/7 - 361*w**2/7 + 4680*w - 32400/7.
(w - 180)**2*(w - 1)/7
Determine y so that 3*y**5 - 27*y**4 + 69*y**3 - 45*y**2 = 0.
0, 1, 3, 5
Solve j**5 + 15*j**4 + 83*j**3 + 205*j**2 + 216*j + 80 = 0 for j.
-5, -4, -1
Let 5*y**5 + 545*y**4 + 15120*y**3 + 14580*y**2 = 0. What is y?
-54, -1, 0
Find a such that a**4 + 5*a**3 - 15*a**2 - 5*a + 14 = 0.
-7, -1, 1, 2
Factor -2*k**4 - 122*k**3 - 2520*k**2 - 18400*k - 16000.
-2*(k + 1)*(k + 20)**3
Find t such that -2*t**2/7 + 16*t/7 - 2 = 0.
1, 7
Factor -2*m**2 + 28*m - 26.
-2*(m - 13)*(m - 1)
Determine x so that -5*x**4 + 325*x**3 - 6795*x**2 + 42875*x + 50000 = 0.
-1, 16, 25
Factor -z**2 + 178*z - 7921.
-(z - 89)**2
What is j in -5*j**2 + 565*j - 560 = 0?
1, 112
Factor -3*k**3 + 6*k**2 + 3*k - 6.
-3*(k - 2)*(k - 1)*(k + 1)
Factor -5*q**4 + 20*q**3 - 20*q**2.
-5*q**2*(q - 2)**2
What is a in -a**3/2 - 2*a**2 + a/2 + 2 = 0?
-4, -1, 1
Factor 3*j**4/2 - 161*j**3/2 + 1431*j**2 - 8262*j - 2916.
(j - 18)**3*(3*j + 1)/2
Factor 5*p**2 - 670*p + 22445.
5*(p - 67)**2
What is c in 2*c**2/5 - 404*c/5 + 20402/5 = 0?
101
Factor -3*a**3/7 + 189*a**2 + 6708*a/7 - 8028/7.
-3*(a - 446)*(a - 1)*(a + 6)/7
Solve -720*k**5 + 4224*k**4 - 9236*k**3 + 9164*k**2 - 3916*k + 484 = 0.
1/5, 1, 11/6
Determine y so that -6*y**2 - 339*y - 168 = 0.
-56, -1/2
Determine z, given that 5*z**2 + 1550*z + 6120 = 0.
-306, -4
Factor -3*s**2 - 99*s - 96.
-3*(s + 1)*(s + 32)
Solve -2*z**5/17 - 16*z**4/17 + 382*z**3/17 + 900*z**2/17 - 25272*z/17 + 73008/17 = 0.
-13, 6
Factor -l**4 + 3*l**2 - 2*l.
-l*(l - 1)**2*(l + 2)
Solve u**2 + 21*u - 22 = 0 for u.
-22, 1
Suppose h**4 + 58*h**3/3 - 329*h**2/3 + 172*h/3 + 32 = 0. What is h?
-24, -1/3, 1, 4
Factor -q**2 - 29*q.
-q*(q + 29)
Factor 2*q**3/11 - 710*q**2/11 + 5696*q + 63368/11.
2*(q - 178)**2*(q + 1)/11
Find l, given that 2*l**2/7 - 92*l/7 - 192/7 = 0.
-2, 48
Factor -2*l**3/9 + 20*l**2/9 - 50*l/9.
-2*l*(l - 5)**2/9
Solve 4*y**2 + 11344*y + 8042896 = 0 for y.
-1418
What is n in 3*n**3/5 + 21*n**2/5 - 3*n/5 - 21/5 = 0?
-7, -1, 1
What is i in -3*i**3 - 750*i**2 - 46875*i = 0?
-125, 0
Factor 55*d**3/6 - 16*d**2/3 - 73*d/6 + 7/3.
(d + 1)*(5*d - 7)*(11*d - 2)/6
Suppose -2*q**4 + 26*q**3/11 + 348*q**2/11 + 376*q/11 - 80/11 = 0. What is q?
-2, 2/11, 5
Find k such