 0.
-4, -2, 0, 2/13, 1/4
Factor -11*k**5/5 - 42*k**4/5 - 58*k**3/5 - 32*k**2/5 - 3*k/5 + 2/5.
-(k + 1)**4*(11*k - 2)/5
Find j, given that 8*j**4 + 44*j**3 - 92*j**2 - 56*j = 0.
-7, -1/2, 0, 2
Factor 2*f**5 - 730*f**4 + 1452*f**3 + 4*f**2 - 1454*f + 726.
2*(f - 363)*(f - 1)**3*(f + 1)
Factor -m**2/4 - 605*m/4 - 151.
-(m + 1)*(m + 604)/4
Suppose 34*n**2/5 + 22*n - 60 = 0. What is n?
-5, 30/17
Factor 2*j**2/11 - 1132*j/11 + 160178/11.
2*(j - 283)**2/11
Factor 3*y**3/2 - 933*y**2/2 + 69165*y/2 + 530901/2.
3*(y - 159)**2*(y + 7)/2
Factor 2*c**5/13 + 18*c**4/13 + 48*c**3/13 + 32*c**2/13.
2*c**2*(c + 1)*(c + 4)**2/13
Determine c, given that -3*c**4 + 81*c**2 - 162*c = 0.
-6, 0, 3
Factor 3*s**3 + 53*s**2 + 50*s.
s*(s + 1)*(3*s + 50)
Factor 30625*r**3/8 + 92225*r**2/8 + 1051*r/8 + 3/8.
(r + 3)*(175*r + 1)**2/8
Solve 6*a**4/5 - 352*a**3/5 - 170*a**2 - 244*a/5 = 0 for a.
-2, -1/3, 0, 61
Factor -f**3/5 - 99*f**2/5 - 3267*f/5 - 35937/5.
-(f + 33)**3/5
Find f, given that -2*f**5 - 3*f**4 + 20*f**3 + 27*f**2 - 18*f = 0.
-3, -2, 0, 1/2, 3
What is j in -j**3/7 + 5*j**2/7 + 36*j/7 = 0?
-4, 0, 9
Factor 2*r**4 - 36*r**3 - 120*r**2 - 124*r - 42.
2*(r - 21)*(r + 1)**3
Determine v so that -2*v**4/7 - 4*v**3/7 - 2*v**2/7 = 0.
-1, 0
Determine w, given that w**4/3 - 49*w**3/3 + 181*w**2/3 - 13*w - 90 = 0.
-1, 2, 3, 45
Let -2*o**4/5 - 94*o**3 - 26898*o**2/5 + 84014*o/5 - 56644/5 = 0. Calculate o.
-119, 1, 2
Factor 2*k**3/15 + 2*k**2/5 - 96*k/5 - 1664/15.
2*(k - 13)*(k + 8)**2/15
Let -15*i**4/2 + 23*i**3 + 3*i**2/2 - 9*i = 0. What is i?
-3/5, 0, 2/3, 3
Factor -3*z**5/4 - 13*z**4/4 - 4*z**3 - z**2.
-z**2*(z + 2)**2*(3*z + 1)/4
Factor -2*i**3/5 - 6*i**2/5 + 332*i/5 + 336/5.
-2*(i - 12)*(i + 1)*(i + 14)/5
Let -5*n**2 - 20*n + 60 = 0. What is n?
-6, 2
Find d such that 5*d**2 - 4465*d + 8910 = 0.
2, 891
Factor 3*t**3/2 + 285*t**2/2 + 141*t.
3*t*(t + 1)*(t + 94)/2
Suppose y**4 - 229*y**3 + 903*y**2 - 675*y = 0. What is y?
0, 1, 3, 225
Factor 4*a**2 + 2488*a.
4*a*(a + 622)
Find w such that -3*w**3 + 51*w**2 - 198*w + 216 = 0.
2, 3, 12
Solve -6*l**3/7 - 59*l**2/7 - 164*l/7 - 20 = 0 for l.
-35/6, -2
Let 2*s**3/5 - 214*s**2/5 + 422*s/5 - 42 = 0. Calculate s.
1, 105
What is d in 5*d**4 - 10*d**3 - 1160*d**2 - 7910*d - 13965 = 0?
-7, -3, 19
Determine t so that -54*t**5 + 81*t**4 + 531*t**3/2 + 55*t**2/4 - 425*t/2 - 375/4 = 0.
-5/6, 1, 3
Find j such that -4*j**3/7 + 8*j**2/7 + 4*j/7 - 8/7 = 0.
-1, 1, 2
Solve g**3 - 27*g**2 - 58*g = 0 for g.
-2, 0, 29
Factor -4*l**3/3 + 16*l**2/3 + 28*l.
-4*l*(l - 7)*(l + 3)/3
Factor k**2 - 59*k + 364.
(k - 52)*(k - 7)
What is k in 2*k**2/7 + 4528*k/7 + 2562848/7 = 0?
-1132
Find x, given that 2*x**3/3 - 146*x**2/3 = 0.
0, 73
Solve -3*i**5 - 99*i**4 - 225*i**3 + 1299*i**2 - 1512*i + 540 = 0 for i.
-30, -6, 1
Factor 4*f**3 - 1136*f**2 + 82880*f - 313600.
4*(f - 140)**2*(f - 4)
Solve 122*t**2/11 - 240*t/11 - 8/11 = 0 for t.
-2/61, 2
What is d in d**4 - 27*d**3 - 7*d**2 + 183*d + 162 = 0?
-2, -1, 3, 27
Let 3*u**2/2 - 489*u/2 - 495 = 0. Calculate u.
-2, 165
Factor a**3/8 - 63*a**2/8 + 147*a - 686.
(a - 28)**2*(a - 7)/8
Solve -3*g**5 + 126*g**3 - 456*g**2 + 549*g - 216 = 0.
-8, 1, 3
Find a such that -15*a**2 + 245*a - 80 = 0.
1/3, 16
Factor -n**5/7 - 5*n**4/7 - 8*n**3/7 - 4*n**2/7.
-n**2*(n + 1)*(n + 2)**2/7
Factor 33*i**2/4 - 35*i/4 + 1/2.
(i - 1)*(33*i - 2)/4
Solve 5*i**4 - 1375*i**3 - 5555*i**2 - 6965*i - 2790 = 0 for i.
-2, -1, 279
Let -5*n**3/4 + 65*n**2/2 - 845*n/4 = 0. Calculate n.
0, 13
Find m such that m**2/3 - 588*m + 259308 = 0.
882
Factor -2*c**3/5 + 34*c**2/5 - 88*c/5 + 56/5.
-2*(c - 14)*(c - 2)*(c - 1)/5
Factor 3*u**2/4 - 4137*u/2 + 5704923/4.
3*(u - 1379)**2/4
Factor 4*q**3 + 52*q**2 + 160*q + 144.
4*(q + 2)**2*(q + 9)
Factor 3*q**3/2 - 279*q**2/2 + 6345*q/2 + 6627/2.
3*(q - 47)**2*(q + 1)/2
Suppose a**2/5 + a = 0. Calculate a.
-5, 0
Factor -2*n**3 + 32*n**2 + 160*n.
-2*n*(n - 20)*(n + 4)
What is p in 4*p**2/7 + 44*p/7 + 40/7 = 0?
-10, -1
Solve -2*h**3/11 - 118*h**2/11 + 48*h + 1512/11 = 0.
-63, -2, 6
Let -b**5 - 11*b**4 - 17*b**3 + 71*b**2 - 42*b = 0. Calculate b.
-7, -6, 0, 1
Factor -a**2/2 + 8*a/3 - 5/6.
-(a - 5)*(3*a - 1)/6
Find b, given that 3*b**4 - 54*b**3 + 336*b**2 - 810*b + 525 = 0.
1, 5, 7
Find r, given that 3*r**4 + 90*r**3 + 171*r**2 + 84*r = 0.
-28, -1, 0
Factor -h**2/4 + h - 3/4.
-(h - 3)*(h - 1)/4
Suppose 22*i**2/7 - 710*i/7 + 192/7 = 0. What is i?
3/11, 32
Solve 3*w**2 - 2970*w + 735075 = 0.
495
What is y in 2*y**5 - 11*y**4 + 2*y**3 + 16*y**2 - 4*y - 5 = 0?
-1, -1/2, 1, 5
Factor 4*i**2 + 40*i + 36.
4*(i + 1)*(i + 9)
Factor -k**3/5 - 71*k**2/5 - 68*k/5 + 28.
-(k - 1)*(k + 2)*(k + 70)/5
Solve -2*u**2 - 20*u + 48 = 0 for u.
-12, 2
Find v such that -v**5 + 54*v**4 + 479*v**3 + 1044*v**2 + 620*v = 0.
-5, -2, -1, 0, 62
Find x such that 2*x**3/5 + 66*x**2/5 + 36*x = 0.
-30, -3, 0
Factor q**2/3 - 5*q - 16/3.
(q - 16)*(q + 1)/3
Let -4*c**4/3 + 32*c**3/3 + 52*c**2 - 232*c/3 - 352/3 = 0. Calculate c.
-4, -1, 2, 11
Factor -2*s**4/7 - 10*s**3/7 - 12*s**2/7.
-2*s**2*(s + 2)*(s + 3)/7
Let -5*r**4/2 + 75*r**3/2 + 395*r**2/2 - 195*r/2 - 855 = 0. Calculate r.
-3, 2, 19
Let -b**3 + 4*b**2 + 71*b + 66 = 0. Calculate b.
-6, -1, 11
Determine x so that -5*x**3 - 50*x**2 - 95*x + 150 = 0.
-6, -5, 1
Solve 8*i**4 - 172*i**3 - 348*i**2 + 1688*i - 736 = 0.
-4, 1/2, 2, 23
Factor 18*v**2/7 + 156*v/7 + 338/7.
2*(3*v + 13)**2/7
Factor -4*h**2 - 180*h + 376.
-4*(h - 2)*(h + 47)
Factor -5*k**5/2 + 1380*k**4 - 187660*k**3 - 767280*k**2 - 772840*k.
-5*k*(k - 278)**2*(k + 2)**2/2
Factor -3*z**2 + 225*z - 648.
-3*(z - 72)*(z - 3)
Solve 4*s**3 - 80*s**2 - 1932*s + 38808 = 0 for s.
-22, 21
Factor -5*v**2 - 55*v - 120.
-5*(v + 3)*(v + 8)
Factor -c**2/2 - 31*c/2.
-c*(c + 31)/2
Solve 5*y**3 + 80*y**2 + 385*y + 490 = 0 for y.
-7, -2
Factor w**3/3 + w**2/3 - 14*w/3 - 8.
(w - 4)*(w + 2)*(w + 3)/3
Find v such that v**2/10 - 23*v/5 - 47/10 = 0.
-1, 47
Factor 2*b**4/5 - 2*b**3/5 - 12*b**2/5 + 8*b/5 + 16/5.
2*(b - 2)**2*(b + 1)*(b + 2)/5
Factor 3*j**3 + 102*j**2 - 3*j - 102.
3*(j - 1)*(j + 1)*(j + 34)
Find n such that -3*n**3 - 159*n**2 + 888*n + 1044 = 0.
-58, -1, 6
Factor -3*g**3/4 - 330*g**2 + 3987*g/4.
-3*g*(g - 3)*(g + 443)/4
Let -4*f**3 - 1380*f**2 - 118332*f + 119716 = 0. What is f?
-173, 1
Find v such that -2*v**2 - 2*v = 0.
-1, 0
Solve -w**3/2 + 125*w**2/2 - 244*w + 242 = 0.
2, 121
Factor -4*t**3 - 68*t**2 - 64*t.
-4*t*(t + 1)*(t + 16)
Factor 4*p**3 + 848*p**2 + 44084*p - 91592.
4*(p - 2)*(p + 107)**2
Determine a so that 2*a**3/19 + 126*a**2/19 + 246*a/19 + 122/19 = 0.
-61, -1
Solve -4*w**5 - 24*w**4 - 4*w**3 + 96*w**2 - 64*w = 0 for w.
-4, 0, 1
Factor -3*s**3 - 30*s**2 - 51*s - 24.
-3*(s + 1)**2*(s + 8)
Factor -2*u**4/7 + 12*u**3/7.
-2*u**3*(u - 6)/7
Factor 2*z**5 + 86*z**4 + 84*z**3.
2*z**3*(z + 1)*(z + 42)
Determine h so that -2*h**4 + 60*h**3 + 6*h**2 - 176*h - 120 = 0.
-1, 2, 30
Determine v so that -5*v**5 - 50*v**4 - 120*v**3 - 110*v**2 - 35*v = 0.
-7, -1, 0
Determine w, given that 3*w**4 - 9*w**3 - 9*w**2 + 33*w - 18 = 0.
-2, 1, 3
Factor -4*t**2 + 108*t - 440.
-4*(t - 22)*(t - 5)
Factor -3*i**2 + 270*i - 5208.
-3*(i - 62)*(i - 28)
What is v in -2*v**2/11 - 14*v/11 + 36/11 = 0?
-9, 2
Find h, given that -5*h**4 + 500*h**2 = 0.
-10, 0, 10
Factor -f**2/10 + 7*f/5 - 4.
-(f - 10)*(f - 4)/10
Suppose z**3 + 1415*z**2 = 0. Calculate z.
-1415, 0
Determine p, given that -3*p**3/4 - 378*p**2 - 63504*p - 3556224 = 0.
-168
Determine m so that -2*m**5 + 32*m**4 + 116*m**3 - 32*m**2 - 114*m = 0.
-3, -1, 0, 1, 19
Let -2*r**2 - 8*r = 0. What is r?
-4, 0
What is m in -21*m**4/8 - 207*m**3/4 - 321*m**2 - 576*m + 192 = 0?
-8, -4, 2/7
Factor -7203*y**5 + 26754*y**4 - 32634*y**3 + 18144*y**2 - 4779*y + 486.
-3*(y - 2)*(7*y - 3)**4
Factor -2*u**5/13 - 8*u**4/13 - 12*u**3/13 - 8*u**2/13 - 2*u/13.
-2*u*(u + 1)**4/13
Factor -3*v**2 + 852*v.
-3*v*(v - 284)
Find i, given that i**2/5 - i/5 - 6/5 = 0.
-2, 3
Find s such that 2*s**5/19 - 98*s**4/19 - 754*s**3/19 - 1662*s**2/19 - 1008*s/19 = 0.
-3, -1, 0, 56
Solve -2*p**5 + 92*p**4/7 - 20*p**3 - 120*p**2/7 + 234*p/7 + 108/7 = 0 for p.
-1, -3/7, 2, 3
Find g such that g**5/3 + 4*g**4/3 + 2*g**3/3 - 4*g**2/3 - g = 0.
-3, -1, 0, 1
Factor 2*i**2/5 + 26*i/5.
2*i*(i + 13)/5
Determine s so that -2*s**4/13 - 242*s**3/13 + 2*s**2/13 + 242*s/13 = 