**4/7 - 6480*x**3/7 - 6240*x**2/7 - 2720*x/7 - 64.
-2*(x + 14)*(3*x + 2)**4/7
Solve -r**2/9 - 227*r/9 = 0 for r.
-227, 0
Find y such that -2*y**4 - 10*y**3 + 258*y**2 - 630*y = 0.
-15, 0, 3, 7
Suppose 104*k**3 + 1622*k**2 - 668*k + 64 = 0. Calculate k.
-16, 2/13, 1/4
Solve -8*z**3 + 82*z**2 - 20*z = 0 for z.
0, 1/4, 10
Factor -4*h**5 + 20*h**4 - 12*h**3 - 36*h**2.
-4*h**2*(h - 3)**2*(h + 1)
What is g in -g**5/6 + 4*g**4/3 - 11*g**3/3 + 4*g**2 - 3*g/2 = 0?
0, 1, 3
Factor s**3/3 - 13*s**2.
s**2*(s - 39)/3
Find m such that -2*m**4/21 - 20*m**3/21 - 58*m**2/21 - 64*m/21 - 8/7 = 0.
-6, -2, -1
Find v, given that -v**4/2 - 141*v**3/8 - 511*v**2/8 + 501*v/8 + 155/8 = 0.
-31, -5, -1/4, 1
Find w such that -w**3/3 + 2*w**2 - 4*w + 8/3 = 0.
2
Suppose -j**4/3 - j**3 + j**2/3 + j = 0. What is j?
-3, -1, 0, 1
Solve -8*v**5/5 - 34*v**4/5 - 32*v**3/5 + 26*v**2/5 + 8*v + 8/5 = 0 for v.
-2, -1, -1/4, 1
Suppose 27*a**5/4 + 621*a**4/4 + 3249*a**3/4 - 3673*a**2/4 + 318*a - 36 = 0. What is a?
-12, 1/3
Let 2*v**2/3 - 10*v/3 - 4 = 0. Calculate v.
-1, 6
Factor -5*z**4/2 - 20*z**3 + 165*z**2/2.
-5*z**2*(z - 3)*(z + 11)/2
Factor -2*w**2/3 + 70*w/3 - 572/3.
-2*(w - 22)*(w - 13)/3
Factor 27*h**3/7 + 1359*h**2/7 - 915*h/7 + 153/7.
3*(h + 51)*(3*h - 1)**2/7
Factor -b**5 + 46*b**4 - 612*b**3 + 1890*b**2 - 1323*b.
-b*(b - 21)**2*(b - 3)*(b - 1)
Let 5*d**5 + 45*d**4 - 165*d**3 + 175*d**2 - 60*d = 0. What is d?
-12, 0, 1
Factor -612*j**2/5 - 82*j/5 + 12/5.
-2*(9*j + 2)*(34*j - 3)/5
Solve 3*v**3/4 + 7*v**2/4 - 7*v/4 - 3/4 = 0.
-3, -1/3, 1
Factor -3*d**5/2 + 12*d**4 - 75*d**3/2 + 57*d**2 - 42*d + 12.
-3*(d - 2)**3*(d - 1)**2/2
What is n in n**3/7 - 3*n**2/7 + 2*n/7 = 0?
0, 1, 2
Factor 3*j**3/5 - 51*j**2 + 252*j/5.
3*j*(j - 84)*(j - 1)/5
Factor s**5/4 + 3*s**4/4 - 3*s**3/2 - 7*s**2 - 6*s.
s*(s - 3)*(s + 2)**3/4
Factor 2*n**2/13 - 1132*n/13 + 160178/13.
2*(n - 283)**2/13
Factor -s**5 - 38*s**4 + 215*s**3.
-s**3*(s - 5)*(s + 43)
Solve -q**3 - 4*q**2 = 0 for q.
-4, 0
Solve 4*v**5 + 20*v**4 - 500*v**3 - 500*v**2 + 20000*v - 50000 = 0 for v.
-10, 5
Let -2*l**3/5 + 32*l**2/5 - 32*l + 256/5 = 0. What is l?
4, 8
Factor y**3 + 18*y**2 + 65*y.
y*(y + 5)*(y + 13)
Determine a so that -2*a**2/9 - 172*a/9 - 3698/9 = 0.
-43
Factor 2*f**4/21 - 6*f**3/7.
2*f**3*(f - 9)/21
Factor -2*s**3 - 20*s**2 - 34*s - 16.
-2*(s + 1)**2*(s + 8)
Factor -3*k**3 - 363*k**2 - 2094*k - 2760.
-3*(k + 2)*(k + 4)*(k + 115)
Factor 5*b**3 - 75*b**2 + 2500.
5*(b - 10)**2*(b + 5)
Factor -i**3 + 650*i**2 + i - 650.
-(i - 650)*(i - 1)*(i + 1)
Solve 3*c**4/5 - 264*c**3/5 + 204*c**2 - 1008*c/5 = 0.
0, 2, 84
Solve -1215*t**5/2 - 3672*t**4 - 4944*t**3 + 264*t**2 + 696*t + 96 = 0.
-4, -2, -2/9, 2/5
Factor 2*s**2/3 + 28*s.
2*s*(s + 42)/3
Solve -2*p**5/21 + 26*p**4/21 - 26*p**3/7 + 18*p**2/7 = 0 for p.
0, 1, 3, 9
Suppose -j**3/4 + 13*j**2/4 - 35*j/4 - 49/4 = 0. What is j?
-1, 7
Determine j, given that 3362*j**4 - 9758*j**3 + 5748*j**2 + 632*j + 16 = 0.
-2/41, 1, 2
Find r such that r**2/4 - r/4 - 5 = 0.
-4, 5
Factor -v**2 - 92*v + 93.
-(v - 1)*(v + 93)
What is v in 4*v**2 - 1336*v + 111556 = 0?
167
Suppose 4*b**5/3 + 164*b**4/3 - 232*b**3 + 1064*b**2/3 - 716*b/3 + 60 = 0. Calculate b.
-45, 1
Let -3*d**2 - 27*d + 156 = 0. What is d?
-13, 4
Let g**4 - 3*g**3/4 - 17*g**2/4 + 3*g + 1 = 0. Calculate g.
-2, -1/4, 1, 2
Factor 271803*c**4 + 817215*c**3 + 5421*c**2 + 9*c.
3*c*(c + 3)*(301*c + 1)**2
Determine u, given that 3*u**5 - 15*u**4 - 198*u**3 + 1308*u**2 - 2616*u + 1728 = 0.
-9, 2, 8
Factor 2*g**2 - 1264*g + 199712.
2*(g - 316)**2
Factor -4*g**3 + 900*g**2 - 3536*g.
-4*g*(g - 221)*(g - 4)
Find w such that 65*w**2 - 4410*w - 680 = 0.
-2/13, 68
Factor -2*d**4/9 + 28*d**3/9 + 62*d**2/9 + 32*d/9.
-2*d*(d - 16)*(d + 1)**2/9
What is c in -5*c**3 + 55*c**2 - 50*c = 0?
0, 1, 10
What is z in -670*z**3 + 1344*z**2 - 8*z = 0?
0, 2/335, 2
Factor -3*a**2/5 - 234*a/5 - 231/5.
-3*(a + 1)*(a + 77)/5
Factor -2*x**3/15 - 142*x**2/15 - 278*x/15 - 46/5.
-2*(x + 1)**2*(x + 69)/15
Factor -3*g**4/5 + 51*g**3/5 + 114*g**2/5.
-3*g**2*(g - 19)*(g + 2)/5
Factor 2*x**3 + 6*x**2 - 2*x - 6.
2*(x - 1)*(x + 1)*(x + 3)
Factor 2*g**4/7 + 24*g**3/7 + 88*g**2/7 + 96*g/7.
2*g*(g + 2)*(g + 4)*(g + 6)/7
Factor 10*y**2/7 - 74*y/7 + 4.
2*(y - 7)*(5*y - 2)/7
Find p such that -6*p**4 - 86*p**3 - 22*p**2 + 86*p + 28 = 0.
-14, -1, -1/3, 1
Let k**2/8 + 287*k/4 = 0. Calculate k.
-574, 0
Let 15*j**4/4 + 85*j**3/4 - 1235*j**2/4 + 2435*j/4 - 325 = 0. What is j?
-13, 1, 4/3, 5
Factor 2*s**2 + 24*s + 72.
2*(s + 6)**2
What is i in 2*i**4 - 24*i**3 + 96*i**2 - 128*i = 0?
0, 4
Suppose 56*q**5/9 - 614*q**4/9 + 2498*q**3/9 - 494*q**2 + 318*q + 12 = 0. What is q?
-1/28, 2, 3
Solve -n**5/2 + 6*n**4 - 49*n**3/2 + 45*n**2 - 38*n + 12 = 0 for n.
1, 2, 6
Factor -f**2 + 4*f.
-f*(f - 4)
Factor -i**2/10 - 1337*i/10 - 668/5.
-(i + 1)*(i + 1336)/10
Suppose y**3/2 - 17*y**2 + 83*y/2 + 155 = 0. What is y?
-2, 5, 31
Factor r**3/6 + 33*r**2/2 + 833*r/2 + 2401/6.
(r + 1)*(r + 49)**2/6
Suppose 2*j**4/17 + 56*j**3/17 - 86*j**2/17 - 532*j - 17328/17 = 0. Calculate j.
-19, -2, 12
Factor 4*p**3 - 12272*p**2 + 9412624*p.
4*p*(p - 1534)**2
Solve -16*d**5 - 292*d**4 - 1048*d**3 + 2636*d**2 - 880*d - 400 = 0.
-10, -1/4, 1
What is m in -3*m**3/2 + 879*m**2/4 - 8103*m + 15987/4 = 0?
1/2, 73
Factor 3*x**2/7 - 48*x.
3*x*(x - 112)/7
Let -13*z**5 - 3*z**4 + 49*z**3 + 35*z**2 - 24*z - 20 = 0. Calculate z.
-1, 10/13, 2
Factor -b**2 + 87*b + 88.
-(b - 88)*(b + 1)
Find c such that 2*c**2 - 2072*c + 536648 = 0.
518
Solve -5*s**5 + 19*s**4/4 + 81*s**3/2 - 233*s**2/4 - 5*s + 3 = 0 for s.
-3, -1/4, 1/5, 2
Solve -2*i**2 - 604*i - 602 = 0.
-301, -1
Determine l so that -2*l**3/5 + 332*l**2/5 + 2*l/5 - 332/5 = 0.
-1, 1, 166
Factor -2*x**4 + 48*x**3 + 216*x**2 - 7776*x.
-2*x*(x - 18)**2*(x + 12)
Suppose -4*a**5 + 16*a**3 - 8*a**2 - 12*a + 8 = 0. Calculate a.
-2, -1, 1
Solve -3*w**3/4 - 45*w**2 + 1161*w/4 - 891/2 = 0 for w.
-66, 3
Let 2*y**3/3 + 302*y**2/3 + 11248*y/3 - 11552/3 = 0. Calculate y.
-76, 1
Factor 16*z**3 - 19*z**2 + 3*z.
z*(z - 1)*(16*z - 3)
Factor s**2/3 - 70*s/3 - 71/3.
(s - 71)*(s + 1)/3
Factor -3*m**3/5 - 84*m**2/5 - 396*m/5.
-3*m*(m + 6)*(m + 22)/5
Determine j, given that -2*j**4 + 2*j**2 = 0.
-1, 0, 1
Factor m**4/3 - 572*m**3/3 + 40898*m**2 - 11696828*m/3 + 418161601/3.
(m - 143)**4/3
Suppose 2*o**2/5 - 10*o - 168/5 = 0. Calculate o.
-3, 28
Factor t**5 + 8*t**4 - 23*t**3 - 26*t**2 + 44*t + 40.
(t - 2)**2*(t + 1)**2*(t + 10)
Determine m, given that -m**5/2 - 12*m**4 - 67*m**3 - 134*m**2 - 225*m/2 - 34 = 0.
-17, -4, -1
Factor w**3/4 - 231*w**2/2 + 3639*w/4 - 1589/2.
(w - 454)*(w - 7)*(w - 1)/4
Factor -u**4 + 335*u**3 + 337*u**2 - 335*u - 336.
-(u - 336)*(u - 1)*(u + 1)**2
Suppose g**2 + 1020*g + 260100 = 0. Calculate g.
-510
What is b in 2*b**5/3 + 2*b**4 + 4*b**3/3 - 4*b**2/3 - 2*b - 2/3 = 0?
-1, 1
Let -14*a**3/11 - 64*a**2/11 - 32*a/11 = 0. Calculate a.
-4, -4/7, 0
What is c in c**2 - 40*c + 175 = 0?
5, 35
Suppose -z**2/5 - 29*z/5 - 168/5 = 0. Calculate z.
-21, -8
Factor -16*b**5/5 + 4664*b**4/5 - 453961*b**3/5 + 2965775*b**2 - 7329611*b/5 + 912673/5.
-(b - 97)**3*(4*b - 1)**2/5
Find o, given that -9*o**2 + 363*o - 120 = 0.
1/3, 40
Factor 2*b**3 + 28*b**2 - 42*b - 180.
2*(b - 3)*(b + 2)*(b + 15)
Find k such that 5*k**3 + 405*k**2 + 400*k = 0.
-80, -1, 0
Factor 3*g**3 + 18*g**2 + 9*g - 30.
3*(g - 1)*(g + 2)*(g + 5)
Let 4*y**2 + 148*y + 408 = 0. What is y?
-34, -3
Factor -4*i**4 + 10280*i**3 - 8813376*i**2 + 2526473728*i - 5017776128.
-4*(i - 856)**3*(i - 2)
Suppose 2*a**4 - 234*a**3 + 7186*a**2 - 19950*a + 12996 = 0. Calculate a.
1, 2, 57
What is b in -4*b**4 + 144*b**3 - 1144*b**2 - 2736*b - 1444 = 0?
-1, 19
Find g, given that -g**4 + 38*g**3 - 173*g**2 + 268*g - 132 = 0.
1, 2, 33
Find w such that w**4/7 - 9*w**3/7 - 22*w**2/7 = 0.
-2, 0, 11
Factor 25*j**2 + 155*j + 30.
5*(j + 6)*(5*j + 1)
Let -3*a**3/4 + 3*a/4 = 0. Calculate a.
-1, 0, 1
Solve 7*a**4/4 - 192*a**3 + 1299*a**2/4 - 161*a/2 - 54 = 0.
-2/7, 1, 108
Factor -8*v**2/13 - 1982*v/13 - 114.
-2*(v + 247)*(4*v + 3)/13
Factor 3*y**2/2 - 53*y - 36.
(y - 36)*(3*y + 2)/2
Suppose -2*i**4 - 182*i**3 + 750*i**2 - 946*i + 380 = 0. What is i?
-95, 1, 2
Find v such that -v**4 + 6*v**3 + 3*v**2 - 56*v + 48 = 0.
-3, 1, 4
Determine s so that s**5 - 14*s**4 + 61*s**3 - 116