1, 0, 8
Solve 5*a**3 - 20*a**2 - 80*a + 320 = 0.
-4, 4
What is z in 5*z**3 - 1281*z**2 - 1029*z + 257 = 0?
-1, 1/5, 257
Factor 8*z**3/7 + 74*z**2/7 + 31*z/7 - 5.
(z + 1)*(2*z - 1)*(4*z + 35)/7
What is p in 25*p**5 - 1015*p**4 - 1485*p**3 + 595*p**2 + 1460*p + 420 = 0?
-1, -2/5, 1, 42
Factor 4*i**4 - 32*i**3 + 64*i**2.
4*i**2*(i - 4)**2
Factor -3*p**3 + 189*p**2 - 2880*p - 3072.
-3*(p - 32)**2*(p + 1)
Factor t**4/2 - 3*t**2/2 + t.
t*(t - 1)**2*(t + 2)/2
Determine b so that b**3/2 - 35*b**2/6 - 7*b/3 + 4 = 0.
-1, 2/3, 12
Factor -2*u**2/11 - 54*u + 596/11.
-2*(u - 1)*(u + 298)/11
Find v, given that v**5/5 + 3*v**4/5 - 6*v**3/5 - 28*v**2/5 - 24*v/5 = 0.
-2, 0, 3
Determine w, given that -2*w**5/7 - 40*w**4/7 + 136*w**3/7 - 52*w**2/7 - 134*w/7 + 92/7 = 0.
-23, -1, 1, 2
Factor 4*x**4 + 76*x**3 - 184*x**2 - 304*x + 672.
4*(x - 2)**2*(x + 2)*(x + 21)
Factor 3*k**5 + 9*k**4 + 9*k**3 + 3*k**2.
3*k**2*(k + 1)**3
Factor 2*m**3 - 12*m**2 + 18*m - 8.
2*(m - 4)*(m - 1)**2
Factor -21*o**3/4 + 53*o**2/2 - 115*o/4 - 21/2.
-(o - 3)*(3*o - 7)*(7*o + 2)/4
Let -8*f**4 + 90*f**3 + 74*f**2 - 24*f = 0. What is f?
-1, 0, 1/4, 12
Suppose -2*p**2/3 + 10*p/3 - 4 = 0. What is p?
2, 3
Factor -18*a**3 + 357*a**2 + 438*a + 63.
-3*(a - 21)*(a + 1)*(6*a + 1)
Solve -z**5 + 25*z**4 - 213*z**3 + 675*z**2 - 486*z = 0.
0, 1, 6, 9
Factor 5*p**3 - 110*p**2 + 595*p - 490.
5*(p - 14)*(p - 7)*(p - 1)
Solve 20*u**2 + 8*u = 0 for u.
-2/5, 0
Factor x**4 - 2*x**3 - 7*x**2 + 20*x - 12.
(x - 2)**2*(x - 1)*(x + 3)
Find p, given that -5*p**3/2 + 1125*p**2 - 168750*p + 8437500 = 0.
150
Solve -2*m**5/9 - 374*m**4/3 + 5648*m**3/9 - 6800*m**2/9 - 1504*m/3 + 9056/9 = 0 for m.
-566, -1, 2
Factor 9*d**4 - 1149*d**3 + 3013*d**2 - 1627*d + 250.
(d - 125)*(d - 2)*(3*d - 1)**2
Factor -y**2/2 + 6*y + 13/2.
-(y - 13)*(y + 1)/2
Factor 2*t**5 - 58*t**4 + 500*t**3 - 1172*t**2 + 1066*t - 338.
2*(t - 13)**2*(t - 1)**3
Factor -4*j**4 + 52*j**3 - 44*j**2 - 52*j + 48.
-4*(j - 12)*(j - 1)**2*(j + 1)
Let 7*f**4/4 - 75*f**3/2 - 252*f**2 - 621*f/2 + 729/4 = 0. What is f?
-3, 3/7, 27
Factor 10*h**2 - 275*h - 140.
5*(h - 28)*(2*h + 1)
Factor -x**3/5 + 17*x**2/5 + x/5 - 17/5.
-(x - 17)*(x - 1)*(x + 1)/5
Determine s, given that -6*s**2 - 2139*s/2 - 267 = 0.
-178, -1/4
Solve -3*i**2/2 + 7593*i - 19217883/2 = 0.
2531
Find r such that 3*r**2/4 + 8181*r/2 + 22309587/4 = 0.
-2727
Factor -4*r**2 - 2184*r + 2188.
-4*(r - 1)*(r + 547)
Find f such that 3*f**4 - 9*f**3 + 3*f**2 + 9*f - 6 = 0.
-1, 1, 2
Solve 2*z**3 - 52*z**2 + 288*z = 0 for z.
0, 8, 18
Factor 23*k**4/4 + 117*k**3/4 + 51*k**2/2 + 2*k.
k*(k + 1)*(k + 4)*(23*k + 2)/4
Let -d**2/3 + 1006*d/3 - 253009/3 = 0. Calculate d.
503
Factor 44*m**3/5 - 60*m**2 + 384*m/5 + 16.
4*(m - 5)*(m - 2)*(11*m + 2)/5
Solve -49*j**2 + 336*j - 576 = 0.
24/7
Solve -35*s**4 + 20780*s**3 - 35500*s**2 - 11840*s = 0.
-2/7, 0, 2, 592
Solve 2*p**4/21 - 2*p**3/7 - 8*p**2/21 + 8*p/7 = 0 for p.
-2, 0, 2, 3
Determine u so that -2*u**2/7 - 244*u/7 = 0.
-122, 0
Suppose -t**3/5 - 8*t**2/5 - 19*t/5 - 12/5 = 0. Calculate t.
-4, -3, -1
Solve 5*m**3/9 + 2927*m**2/9 + 7000*m/9 + 2332/9 = 0.
-583, -2, -2/5
Factor -28*h**2 + 3*h/4.
-h*(112*h - 3)/4
Factor 3*c**2/2 + 7353*c + 18022203/2.
3*(c + 2451)**2/2
Let -15*a**2 + 305*a + 210 = 0. What is a?
-2/3, 21
Let 3*q**2 - 5178*q = 0. Calculate q.
0, 1726
Find r, given that -3*r**4 + 6*r**3 = 0.
0, 2
Factor b**2/8 + 265*b/8 + 263/4.
(b + 2)*(b + 263)/8
Factor 3*t**5 - 3*t**4 - 33*t**3 + 87*t**2 - 78*t + 24.
3*(t - 2)*(t - 1)**3*(t + 4)
Determine r so that -r**3/4 + r**2 + 25*r/4 - 7 = 0.
-4, 1, 7
Solve -5*t**4 - 40*t**3 - 85*t**2 + 10*t + 120 = 0 for t.
-4, -3, -2, 1
Let -t**2/4 + 15*t/4 = 0. Calculate t.
0, 15
Factor -3*m**3 + 24*m**2 - 39*m + 18.
-3*(m - 6)*(m - 1)**2
Determine o, given that 2*o**4/23 + 738*o**3/23 - 740*o**2/23 = 0.
-370, 0, 1
Factor -f**2/4 - 863*f/4 - 859.
-(f + 4)*(f + 859)/4
Solve j**4/3 - j**3/9 - 2*j**2/9 = 0 for j.
-2/3, 0, 1
Factor -3*g**3 - 18*g**2 - 15*g.
-3*g*(g + 1)*(g + 5)
Determine b, given that b**2 + 180*b + 8100 = 0.
-90
Let 3*x**2 + 9*x + 6 = 0. Calculate x.
-2, -1
Solve 83*v**2/5 - 17*v + 2/5 = 0.
2/83, 1
What is l in -125*l**3 - 765*l**2 - 1215*l - 135 = 0?
-3, -3/25
Determine a, given that a**5/3 + 2*a**4 - 7*a**3/3 = 0.
-7, 0, 1
Let -b**5/2 + 7*b**4/6 + 13*b**3/6 - 23*b**2/6 + b = 0. Calculate b.
-2, 0, 1/3, 1, 3
Suppose -h**4/4 - 15*h**3/4 - 31*h**2/2 - 12*h = 0. Calculate h.
-8, -6, -1, 0
Factor 4*j**2 + 104*j - 348.
4*(j - 3)*(j + 29)
Suppose r**4/5 - 22*r**3/5 - 31*r**2/5 + 172*r/5 + 276/5 = 0. What is r?
-2, 3, 23
Solve 5*j**2 + 2230*j + 248645 = 0 for j.
-223
Find n, given that 2*n**2 + 66*n - 860 = 0.
-43, 10
Determine j so that 3*j**4/7 + 12*j**3/7 + 6*j**2/7 - 12*j/7 - 9/7 = 0.
-3, -1, 1
Factor 3*z**3 - 42*z**2 + 129*z - 90.
3*(z - 10)*(z - 3)*(z - 1)
Find r, given that 2*r**4/15 - 8*r**3/15 + 8*r**2/15 = 0.
0, 2
Factor 4*i**3 + 2364*i**2 + 348096*i - 350464.
4*(i - 1)*(i + 296)**2
Factor -2*o**4 + 20*o**3 - 50*o**2.
-2*o**2*(o - 5)**2
Find x such that 3*x**5 + 15*x**4 + 9*x**3 - 15*x**2 - 12*x = 0.
-4, -1, 0, 1
Find b, given that b**3/5 - 792*b**2/5 + 156021*b/5 + 315218/5 = 0.
-2, 397
Factor 2*d**5 + 30*d**4 + 150*d**3 + 290*d**2 + 240*d + 72.
2*(d + 1)**3*(d + 6)**2
What is x in 2*x**3/15 - 4312*x**2/15 + 776158*x/5 - 1546572/5 = 0?
2, 1077
Factor 4*c**2 + 26336*c + 43349056.
4*(c + 3292)**2
Suppose 40*n**3 + 292*n**2 + 256*n - 336 = 0. What is n?
-6, -2, 7/10
Factor 2*m**2/23 - 464*m/23 + 26912/23.
2*(m - 116)**2/23
Let -9*w**3 + w**2/4 + 29*w/4 + 3/2 = 0. What is w?
-3/4, -2/9, 1
Suppose -7*l**3/3 - 418*l**2/3 - 2060*l + 600 = 0. What is l?
-30, 2/7
Solve -2*p**3/13 + 12*p**2/13 + 38*p/13 - 48/13 = 0.
-3, 1, 8
Find c, given that -4*c**2 + 348*c - 344 = 0.
1, 86
Factor q**2 - 69*q - 70.
(q - 70)*(q + 1)
Let d**2/2 - 5*d/2 - 3 = 0. What is d?
-1, 6
Solve -4*w**5 + 8*w**4 + 48*w**3 - 152*w**2 + 148*w - 48 = 0.
-4, 1, 3
Factor -p**5/3 + 391*p**4/3 + 262*p**3.
-p**3*(p - 393)*(p + 2)/3
Factor 3*c**2 - 813*c + 1614.
3*(c - 269)*(c - 2)
What is l in 1089*l**3 + 440*l**2 + 53*l + 2 = 0?
-2/9, -1/11
Factor 5*g**4 + 195*g**3 + 2515*g**2 + 11325*g + 9000.
5*(g + 1)*(g + 8)*(g + 15)**2
Determine s, given that 10*s**4 + 105*s**3 + 135*s**2 = 0.
-9, -3/2, 0
Factor -f**3/2 - 15*f**2/2 + 33*f/2 - 17/2.
-(f - 1)**2*(f + 17)/2
Solve -15*i**4 - 42*i**3 - 21*i**2 + 6*i = 0.
-2, -1, 0, 1/5
What is z in -7*z**5 + 928*z**4 - 33666*z**3 + 193572*z**2 - 349839*z + 142884 = 0?
4/7, 3, 63
Factor -q**4/6 + q**3/3 + 9*q**2/2 - 28*q/3 - 40/3.
-(q - 4)**2*(q + 1)*(q + 5)/6
Suppose -s**3/4 + 9*s**2/2 - 105*s/4 + 49 = 0. What is s?
4, 7
What is i in 5*i**2 - 3115*i - 6250 = 0?
-2, 625
Solve 3*o**3/7 + 6*o**2 = 0.
-14, 0
Solve 4*u**4/7 + 72*u**3/7 + 4*u**2/7 - 144*u + 1360/7 = 0 for u.
-17, -5, 2
Find r such that 22*r**3 + 247*r**2 - 201*r + 36 = 0.
-12, 3/11, 1/2
Factor -6*n**3 + 298*n**2 + 104*n - 200.
-2*(n - 50)*(n + 1)*(3*n - 2)
Factor f**5 - f**4 - 2*f**3 + 2*f**2 + f - 1.
(f - 1)**3*(f + 1)**2
Determine j, given that -j**4 + 41*j**3 - 338*j**2 + 892*j - 744 = 0.
2, 6, 31
Let -24*c**3 + 75*c**2 - 57*c + 6 = 0. Calculate c.
1/8, 1, 2
Factor 2*z**3/7 - 72*z**2/7 + 138*z/7 - 68/7.
2*(z - 34)*(z - 1)**2/7
Factor 2*o**4/3 + 44*o**3/3 - 2*o**2/3 - 44*o/3.
2*o*(o - 1)*(o + 1)*(o + 22)/3
Factor 5*w**2 + 1820*w + 165620.
5*(w + 182)**2
Factor -5*z**3 - 1065*z**2 - 75615*z - 1789555.
-5*(z + 71)**3
Suppose -5*p**2 - 945*p - 2790 = 0. Calculate p.
-186, -3
Suppose -6*g**4 + 38*g**3 - 68*g**2 + 8*g + 48 = 0. Calculate g.
-2/3, 2, 3
Let -2*b**4 + 22*b**2 + 36*b + 16 = 0. What is b?
-2, -1, 4
Let -120*a**4 + 245*a**3 + 110*a**2 - 245*a + 10 = 0. What is a?
-1, 1/24, 1, 2
Factor 7*q**4 + 191*q**3 + 54*q**2.
q**2*(q + 27)*(7*q + 2)
Suppose -5*f**5 - 10*f**4 + 215*f**3 + 400*f**2 - 1500*f = 0. What is f?
-5, 0, 2, 6
Let 5*u**2/6 + 65*u - 400/3 = 0. What is u?
-80, 2
Factor 2*a**5/19 - 32*a**4/19 - 148*a**3/19 - 232*a**2/19 - 158*a/19 - 40/19.
2*(a - 20)*(a + 1)**4/19
Factor 2*h**4/19 + 204*h**3/19 + 5402*h**2/19 + 10200*h/19 + 5000/19.
2*(h + 1)**2*(h + 50)**2/19
Factor d**4/6 + 13*d**3/3 - 14*d**2/3 - 13*d/3 + 9/2.
(d - 1)**2*(d + 1)*(d + 27)/6
Factor -2*m**2 - 40028*m - 200280098.
-2*(m + 10007)**2
Suppose -56*o**5/11 - 338*o**4/11 + 496*o**3/11 + 3066*o