 - 3)**2/7
Solve -3*n**2/2 - 165*n + 336 = 0.
-112, 2
Let j**2/4 + 515*j/4 = 0. What is j?
-515, 0
Factor -c**2/4 - 13*c/2 + 14.
-(c - 2)*(c + 28)/4
Determine g, given that g**4 + 6800*g**3 + 17340000*g**2 + 19652000000*g + 8352100000000 = 0.
-1700
Solve -g**2/5 + 572*g/5 - 81796/5 = 0 for g.
286
Factor 4*c**4 - 12*c**3 - 544*c**2 - 1008*c.
4*c*(c - 14)*(c + 2)*(c + 9)
Determine x so that 12*x**4/7 - 57*x**3/7 + 81*x**2/7 - 24*x/7 - 12/7 = 0.
-1/4, 1, 2
Factor -3*l**4 - 3*l**3 + 15*l**2 - 9*l.
-3*l*(l - 1)**2*(l + 3)
Find p such that 4*p**2 - 11896*p + 8844676 = 0.
1487
Suppose 5*n**3 + 750*n**2 + 37500*n + 625000 = 0. Calculate n.
-50
Solve 62*w**3/3 - 424*w**2/3 + 302*w/3 + 20 = 0.
-5/31, 1, 6
Suppose x**2/4 + x/4 - 45/2 = 0. What is x?
-10, 9
Suppose -y**5/5 + 132*y**4/5 - 4222*y**3/5 - 8844*y**2/5 - 4489*y/5 = 0. Calculate y.
-1, 0, 67
Factor 3*v**4 + 6*v**3 - 24*v**2 - 54*v - 27.
3*(v - 3)*(v + 1)**2*(v + 3)
Determine a, given that -2*a**3/7 - 10*a**2/21 - 2*a/21 + 2/21 = 0.
-1, 1/3
Suppose -2*z**2/11 - 42*z/11 + 392/11 = 0. What is z?
-28, 7
Let -5*w**5/3 - 5*w**4 - 5*w**3/3 + 5*w**2 + 10*w/3 = 0. Calculate w.
-2, -1, 0, 1
Factor k**3/6 - 83*k**2/6 + 40*k/3 + 82/3.
(k - 82)*(k - 2)*(k + 1)/6
Solve 202*o**2/15 - 392*o/15 - 8/5 = 0 for o.
-6/101, 2
Find c, given that 3*c**2 - 12*c - 63 = 0.
-3, 7
What is w in -w**4 + 18*w**3 - 101*w**2 + 180*w = 0?
0, 4, 5, 9
Let -4*d**5/7 - 124*d**4/7 - 220*d**3/7 + 52*d**2 + 64*d - 464/7 = 0. What is d?
-29, -2, 1
Let 3*m**3 - 621*m**2 + 42849*m - 985527 = 0. What is m?
69
Solve 2*f**2/7 - 3494*f/7 - 3496/7 = 0 for f.
-1, 1748
Factor 3*o**4 - 60*o**3 + 432*o**2 - 1296*o + 1296.
3*(o - 6)**3*(o - 2)
Factor x**4 + 13*x**3 + 11*x**2 - 13*x - 12.
(x - 1)*(x + 1)**2*(x + 12)
Solve 76*a**5 - 752*a**4 + 2048*a**3 - 1600*a**2 - 192*a = 0 for a.
-2/19, 0, 2, 6
Factor n**4 + 5*n**3 - 92*n**2 + 156*n.
n*(n - 6)*(n - 2)*(n + 13)
Let -4*l**4 - 84*l**3 + 648*l**2 = 0. Calculate l.
-27, 0, 6
Factor 2*c**4/17 - 1330*c**3/17 - 5344*c**2/17 - 5352*c/17.
2*c*(c - 669)*(c + 2)**2/17
Find t such that 4*t**2 + 568*t - 4800 = 0.
-150, 8
Factor 2*q**5/11 - 32*q**4/11 + 84*q**3/11 - 80*q**2/11 + 26*q/11.
2*q*(q - 13)*(q - 1)**3/11
Factor -v**5/4 - 251*v**4 - 250997*v**3/4 + 253009*v**2/2.
-v**2*(v - 2)*(v + 503)**2/4
What is i in 2*i**2/3 - 238*i/3 + 232 = 0?
3, 116
Factor -2*i**3/11 + 2*i**2/11.
-2*i**2*(i - 1)/11
Factor -3*u**4 - 6*u**3 + 81*u**2 - 156*u + 84.
-3*(u - 2)**2*(u - 1)*(u + 7)
Solve 10*q**5 - 104*q**4 + 10*q**3 + 332*q**2 - 328*q + 80 = 0 for q.
-2, 2/5, 1, 10
Determine y so that -y**3/5 + 18*y**2 + 277*y/5 + 186/5 = 0.
-2, -1, 93
Factor f**5/8 - 3*f**4/8 + f**3/8 + 3*f**2/8 - f/4.
f*(f - 2)*(f - 1)**2*(f + 1)/8
Factor -2*r**5/9 - 68*r**4/9 + 86*r**3.
-2*r**3*(r - 9)*(r + 43)/9
Solve 4*h**3 + 9536*h**2 = 0.
-2384, 0
What is v in 4*v**2/7 + 344*v/7 = 0?
-86, 0
Let 2*k**4/13 - 54*k**2/13 - 108*k/13 = 0. What is k?
-3, 0, 6
Factor -u**3/3 - 38*u**2/9 - 28*u/3 - 40/9.
-(u + 2)*(u + 10)*(3*u + 2)/9
Factor -d**3/4 - 39*d**2/2 - 77*d/4.
-d*(d + 1)*(d + 77)/4
Factor -u**2/4 + 23*u/2.
-u*(u - 46)/4
Factor -r**3 - 22*r**2 + 75*r.
-r*(r - 3)*(r + 25)
Determine x so that 2*x**3 - 156*x**2 - 482*x - 324 = 0.
-2, -1, 81
Suppose 2*b**5/15 + 42*b**4/5 - 134*b**3/15 - 382*b**2/15 + 44*b/5 + 256/15 = 0. Calculate b.
-64, -1, 1, 2
Solve 4*c**2/5 - 356*c/5 + 352/5 = 0.
1, 88
Determine k so that -2*k**5/17 + 48*k**4/17 + 1390*k**3/17 + 5484*k**2/17 - 15320*k/17 + 8400/17 = 0.
-10, 1, 42
Find q such that -12*q**3 + 352*q**2 + 628*q - 248 = 0.
-2, 1/3, 31
Factor 5*k**2 + 120*k - 125.
5*(k - 1)*(k + 25)
Factor -3*n**4 + 216*n**3 + 1425*n**2 - 1638*n.
-3*n*(n - 78)*(n - 1)*(n + 7)
What is b in -b**2/6 - 617*b/3 - 380689/6 = 0?
-617
Solve -2*j**5/7 + 22*j**4/7 - 2*j**3 - 42*j**2 = 0.
-3, 0, 7
Factor d**4 - 666*d**3.
d**3*(d - 666)
Determine b, given that 9*b**4/7 + 6*b**3 - 141*b**2/7 + 6*b = 0.
-7, 0, 1/3, 2
Let 4*l**2 - 2904*l + 8676 = 0. What is l?
3, 723
Solve -5*y**4/4 + 19*y**3/2 - 69*y**2/4 + 4*y + 5 = 0 for y.
-2/5, 1, 2, 5
Factor -f**3/8 + 99*f**2/4 - 393*f/8 + 49/2.
-(f - 196)*(f - 1)**2/8
Factor -d**2/4 + 226*d - 51076.
-(d - 452)**2/4
Factor 2*x**4 + 38*x**3 + 246*x**2 + 610*x + 400.
2*(x + 1)*(x + 5)**2*(x + 8)
Factor 3*y**4 + 171*y**3 + 3249*y**2 + 20577*y.
3*y*(y + 19)**3
Factor -4*k**3 - 492*k**2 + 2020*k - 1524.
-4*(k - 3)*(k - 1)*(k + 127)
Factor -4*d**4 + 1764*d**3 - 255684*d**2 + 11633324*d + 79390776.
-4*(d - 149)**3*(d + 6)
Let -2*y**2/3 + 80*y/3 - 136 = 0. What is y?
6, 34
Suppose 2*m**3 - 26*m**2 - 228*m = 0. Calculate m.
-6, 0, 19
Factor -4*x**4 + 108*x**3 - 388*x**2 + 468*x - 184.
-4*(x - 23)*(x - 2)*(x - 1)**2
Suppose -5*s**4 - 115*s**3 - 405*s**2 - 485*s - 190 = 0. What is s?
-19, -2, -1
Factor 338*n**3/5 - 1118*n**2/5 + 246*n - 90.
2*(n - 1)*(13*n - 15)**2/5
Solve -2*m**3/3 - 10*m**2/3 + 28*m/3 = 0.
-7, 0, 2
Suppose 3*s**3 - 3*s**2 - 24*s + 36 = 0. Calculate s.
-3, 2
Factor -q**2/6 + 314*q/3 + 629/6.
-(q - 629)*(q + 1)/6
Factor 2*i**2/13 - 5128*i/13 + 3287048/13.
2*(i - 1282)**2/13
Suppose u**4 - 28*u**3 + 94*u**2 + 1428*u + 2601 = 0. Calculate u.
-3, 17
Factor -98*o**3 - 2926*o**2 - 2454*o - 522.
-2*(o + 29)*(7*o + 3)**2
Factor -s**2/3 + 19*s/3.
-s*(s - 19)/3
Determine r so that 4*r**5/9 - 104*r**4/9 + 224*r**3/3 + 104*r**2/9 - 676*r/9 = 0.
-1, 0, 1, 13
Factor -9*w**3/2 - 273*w**2/2 - 176*w - 58.
-(w + 29)*(3*w + 2)**2/2
Factor x**3/4 + x**2 + x.
x*(x + 2)**2/4
Factor -12*n**2 - 60500*n + 20168.
-4*(n + 5042)*(3*n - 1)
Find y such that 2*y**5 - 8*y**3 - 4*y**2 + 6*y + 4 = 0.
-1, 1, 2
Determine n, given that 2*n**2/3 + 20*n + 112/3 = 0.
-28, -2
Factor -4*p**2 - 372*p - 4424.
-4*(p + 14)*(p + 79)
Factor 20*g**4 + 80*g**3 - 815*g**2 + 745*g - 180.
5*(g - 4)*(g + 9)*(2*g - 1)**2
Factor -4*h**3/3 - 20*h**2/3.
-4*h**2*(h + 5)/3
Determine m, given that -2*m**2 + 84*m - 544 = 0.
8, 34
Solve -14*k**4/15 - 94*k**3/15 - 42*k**2/5 - 26*k/15 + 4/3 = 0.
-5, -1, 2/7
Determine m, given that -m**5/2 - 27*m**4/2 + 7*m**3/2 + 183*m**2/2 - 81*m = 0.
-27, -3, 0, 1, 2
Find r such that 2*r**3/7 - 4*r**2/7 - 96*r/7 = 0.
-6, 0, 8
Find p such that -5*p**5/2 - 110*p**4 + 470*p**3 - 480*p**2 = 0.
-48, 0, 2
Solve y**4 + 4*y**3 - 53*y**2 - 24*y + 432 = 0.
-9, -3, 4
Factor -2*y**4/25 + 34*y**3/25 - 156*y**2/25 + 56*y/5 - 176/25.
-2*(y - 11)*(y - 2)**3/25
Factor 3*p**3 + 1121*p**2 + 745*p - 373.
(p + 1)*(p + 373)*(3*p - 1)
Let -3*u**3 + 60*u**2 + 69*u - 126 = 0. What is u?
-2, 1, 21
Factor 2*p**5/5 - 32*p**4/5 + 128*p**3/5.
2*p**3*(p - 8)**2/5
Let v**4/4 + 15*v**3/4 - 47*v**2/2 + 30*v = 0. Calculate v.
-20, 0, 2, 3
Factor -q**4/2 - 6*q**3 + 334*q**2 + 2112*q - 61952.
-(q - 16)**2*(q + 22)**2/2
Factor -2*c**2/17 - 24440*c/17 - 74664200/17.
-2*(c + 6110)**2/17
Suppose 3*u**4/5 - 24*u**3/5 - 3*u**2/5 + 24*u/5 = 0. What is u?
-1, 0, 1, 8
Find i such that 4*i**5 + 48*i**4 + 180*i**3 + 200*i**2 = 0.
-5, -2, 0
Suppose 35*r**5 + 1439*r**4 + 2785*r**3 - 3959*r**2 - 768*r + 468 = 0. What is r?
-39, -3, -2/5, 2/7, 1
Determine u, given that -2*u**2/5 - 68*u/5 + 144/5 = 0.
-36, 2
Let -4*w**3 + 12*w**2 + 40*w - 96 = 0. What is w?
-3, 2, 4
Factor -u**3/2 - 11*u**2 - 64*u - 112.
-(u + 4)**2*(u + 14)/2
Let 17*p**2/5 + 389*p/5 - 46/5 = 0. What is p?
-23, 2/17
Factor r**5 - 8*r**4 + 16*r**3.
r**3*(r - 4)**2
What is b in -2*b**2/5 - 166*b/5 - 1584/5 = 0?
-72, -11
Let -2*y**2 - 544*y - 36992 = 0. What is y?
-136
Determine z so that 8*z**5 - 260*z**4 + 600*z**3 + 20*z**2 - 608*z + 240 = 0.
-1, 1/2, 1, 2, 30
Find r, given that -2*r**2/9 + 26*r/9 + 280/9 = 0.
-7, 20
Find z, given that 2*z**2 + 98*z/5 - 132/5 = 0.
-11, 6/5
Factor -2*k**3/9 - 100*k**2/9 + 2*k/9 + 100/9.
-2*(k - 1)*(k + 1)*(k + 50)/9
Factor -2*p**5 + 2*p**4 + 18*p**3 + 22*p**2 + 8*p.
-2*p*(p - 4)*(p + 1)**3
Factor 2*u**4/9 + 16*u**3/9 + 10*u**2/9 - 28*u/9.
2*u*(u - 1)*(u + 2)*(u + 7)/9
Factor -5*m**2 + 1030*m + 1035.
-5*(m - 207)*(m + 1)
Factor -q**5/2 + 87*q**4/2 + 89*q**3 + q**2 - 177*q/2 - 89/2.
-(q - 89)*(q - 1)*(q + 1)**3/2
Suppose -4*s**5/3 - 44*s**4/3 + 967*s**3/3 - 682*s**2/3 - 5140*s - 6600 = 0. Calculate s.
-22, -2, 15/2
Factor 2000*a**3 - 2200*a**2 + 205*a - 5.
5*(a - 1)*(20*a - 1)**2
Let -2*r**5 - 302*r**4/3 - 7220*r**3/9 + 37028*r**2/3 - 7946*r + 11774/9 = 0. What is r?
-29, 1/3, 7
F