2)/3
Factor -2*z**2/5 + 3336*z/5 - 1391112/5.
-2*(z - 834)**2/5
Let z**2 + 84*z + 1764 = 0. What is z?
-42
Solve -2*i**3/9 - 8*i**2/9 - 10*i/9 - 4/9 = 0 for i.
-2, -1
Factor -6*q**2 + 314*q + 212.
-2*(q - 53)*(3*q + 2)
Let p**3/4 + 69*p**2/4 + 270*p - 972 = 0. Calculate p.
-36, 3
Factor -2*d**3 - 6*d**2 - 6*d - 2.
-2*(d + 1)**3
Let 3*p**5 - 15*p**4 - 747*p**3 - 4941*p**2 - 11016*p - 6804 = 0. What is p?
-6, -3, -1, 21
Find d, given that -2*d**3/19 + 62*d**2/19 - 438*d/19 + 378/19 = 0.
1, 9, 21
Solve -n**4/5 - 2*n**3/5 + n**2/5 + 2*n/5 = 0.
-2, -1, 0, 1
Suppose 4*p**5/3 - 32*p**4/3 + 20*p**3 + 16*p**2/3 - 80*p/3 = 0. Calculate p.
-1, 0, 2, 5
Determine u, given that 175*u**5 - 180*u**4 - 55*u**3 + 60*u**2 = 0.
-4/7, 0, 3/5, 1
Suppose -2*v**3/13 - 268*v**2/13 - 6328*v/13 - 41552/13 = 0. Calculate v.
-106, -14
Find y such that 100*y**3 + 2060*y**2 - 836*y + 84 = 0.
-21, 1/5
Factor -4*v**2 - 440*v + 444.
-4*(v - 1)*(v + 111)
Let -4*j**5 + 68*j**4 - 324*j**3 + 412*j**2 + 328*j - 480 = 0. Calculate j.
-1, 1, 3, 4, 10
Find z such that 4*z**4 - 52*z**3 + 216*z**2 - 368*z + 224 = 0.
2, 7
Find w, given that -125*w**3 + 40725*w**2 - 32520*w + 6500 = 0.
2/5, 325
Factor f**2/3 + 14*f/3 + 11.
(f + 3)*(f + 11)/3
Factor -h**2/4 + 222*h - 49284.
-(h - 444)**2/4
Factor -8*a**2 + 4134*a + 1034.
-2*(a - 517)*(4*a + 1)
Factor -75*l**2 - 231*l - 18.
-3*(l + 3)*(25*l + 2)
Let 4*z**2 + 384*z = 0. What is z?
-96, 0
Factor -4*f**2/7 + 116*f/7 - 16.
-4*(f - 28)*(f - 1)/7
Determine l so that -l**2 - 216*l + 436 = 0.
-218, 2
Factor 5*w**3 - 50*w**2 + 135*w - 90.
5*(w - 6)*(w - 3)*(w - 1)
Solve i**5 + i**4 - 17*i**3 - 17*i**2 + 16*i + 16 = 0 for i.
-4, -1, 1, 4
Factor -588*m**4 + 2268*m**3 - 2019*m**2 - 324*m - 12.
-3*(m - 2)**2*(14*m + 1)**2
Solve -5*f**3 + 10*f**2 - 5*f = 0 for f.
0, 1
Determine q, given that -4*q**5 - 72*q**4 + 4*q**3 + 72*q**2 = 0.
-18, -1, 0, 1
Let 2*u**3 - 314*u**2 + 622*u - 310 = 0. Calculate u.
1, 155
What is a in 4*a**2/5 + 428*a/5 + 168 = 0?
-105, -2
Factor -3*r**3 + 37*r**2/3 - 4*r/3.
-r*(r - 4)*(9*r - 1)/3
Factor 2*u**4/9 - 44*u**3 + 19994*u**2/9 - 4312*u + 19208/9.
2*(u - 98)**2*(u - 1)**2/9
Let -20*d**2 + 16*d + 48 = 0. Calculate d.
-6/5, 2
What is a in -a**3/4 - 89*a**2/4 - 1935*a/4 + 2025/4 = 0?
-45, 1
Solve -3*v**2 + 378*v - 11907 = 0.
63
Factor -2*c**2 + 5500*c - 3781250.
-2*(c - 1375)**2
Factor -c**4/10 - 3*c**3/10 - c**2/10 + 3*c/10 + 1/5.
-(c - 1)*(c + 1)**2*(c + 2)/10
Suppose i**3/2 + 5*i**2/2 + 7*i/2 + 3/2 = 0. What is i?
-3, -1
Factor -3*z**4 - 36*z**3 + 54*z**2 + 972*z - 2187.
-3*(z - 3)**2*(z + 9)**2
Suppose y**2/4 + 121*y/4 + 30 = 0. What is y?
-120, -1
Find t such that -t**4/4 - 9*t**3/2 + 423*t**2/4 + 1134*t - 15876 = 0.
-21, 12
Determine n, given that -n**5/2 - n**4 + 7*n**3/2 - 2*n**2 = 0.
-4, 0, 1
Let 85*s**5 - 1635*s**4 + 6670*s**3 + 17220*s**2 - 55400*s + 12000 = 0. Calculate s.
-3, 4/17, 2, 10
Factor 2*c**4/5 - 2*c**3 + 8*c**2/5.
2*c**2*(c - 4)*(c - 1)/5
Determine l so that -18*l**4 + 3*l**3 + 54*l**2 + 27*l - 6 = 0.
-1, 1/6, 2
Suppose -b**3 - 61*b**2 + 330*b = 0. Calculate b.
-66, 0, 5
Determine k so that -2*k**5 - 36*k**4 - 168*k**3 - 308*k**2 - 246*k - 72 = 0.
-12, -3, -1
Factor s**4 + 34*s**3 + 349*s**2 + 1020*s + 900.
(s + 2)**2*(s + 15)**2
Factor 5*b**4 - 145*b**3 + 525*b**2 - 635*b + 250.
5*(b - 25)*(b - 2)*(b - 1)**2
Factor -2*m**3 + 18*m**2 - 16*m.
-2*m*(m - 8)*(m - 1)
Factor 8*q**3 + 49*q**2 + 28*q - 85.
(q - 1)*(q + 5)*(8*q + 17)
Factor t**2/3 + 283*t/3 + 94.
(t + 1)*(t + 282)/3
Solve 5*u**4/2 + 95*u**3/2 - 1455*u**2/2 - 95*u/2 + 725 = 0.
-29, -1, 1, 10
Factor v**3 + 1199*v**2 + 358800*v - 360000.
(v - 1)*(v + 600)**2
Let 15*z**3 + 309*z**2 - 456*z + 132 = 0. Calculate z.
-22, 2/5, 1
Find d such that -196*d**5 + 868*d**4 - 1045*d**3 - 290*d**2 + 1241*d - 578 = 0.
-1, 1, 17/14, 2
Factor -3*k**4/5 - 153*k**3/5 - 1512*k**2/5 + 2352*k.
-3*k*(k - 5)*(k + 28)**2/5
Determine d so that 3*d**3 - 75*d**2 + 72*d = 0.
0, 1, 24
Determine r, given that r**3 - 166*r**2 + 325*r + 492 = 0.
-1, 3, 164
Let 3*j**4/2 + 33*j**3/2 + 105*j**2/2 + 75*j/2 = 0. What is j?
-5, -1, 0
Factor -2*y**2/17 - 12*y + 206/17.
-2*(y - 1)*(y + 103)/17
Determine t, given that -14*t**3 - 766*t**2 - 10280*t + 3000 = 0.
-30, -25, 2/7
Factor 4*m**4 + 72*m**3 + 68*m**2.
4*m**2*(m + 1)*(m + 17)
Factor a**3/4 + 7*a**2/2.
a**2*(a + 14)/4
Factor -m**2/8 - 146*m - 42632.
-(m + 584)**2/8
Factor 2*u**3/7 + 342*u**2/7 + 14790*u/7 + 14450/7.
2*(u + 1)*(u + 85)**2/7
Determine g, given that -5*g**2/4 + 25*g - 125 = 0.
10
Suppose -3*l**5 + 9*l**4 + 27*l**3 + 15*l**2 = 0. What is l?
-1, 0, 5
Factor -4*k**5 - 20*k**4 + 20*k**3 + 100*k**2 - 160*k + 64.
-4*(k - 1)**3*(k + 4)**2
Factor u**5/4 - 115*u**4/4 + 812*u**3 + 841*u**2.
u**2*(u - 58)**2*(u + 1)/4
Let 2*j**5/23 - 22*j**4/23 - 54*j**3/23 + 22*j**2/23 + 52*j/23 = 0. What is j?
-2, -1, 0, 1, 13
Factor -294*b**4 - 70*b**3 + 143*b**2/6 + 10*b/3 - 2/3.
-(6*b - 1)**2*(7*b + 2)**2/6
Suppose 2*a**2/21 + 64*a/7 = 0. Calculate a.
-96, 0
Factor -7823209*l**2/4 - 2797*l - 1.
-(2797*l + 2)**2/4
Factor 32*a**2 - 2104*a + 69169/2.
(8*a - 263)**2/2
Let -30*n**5 + 118*n**4 - 78*n**3 - 22*n**2 + 12*n = 0. Calculate n.
-2/5, 0, 1/3, 1, 3
Solve 2*t**4/7 - 20*t**3/7 + 48*t**2/7 - 44*t/7 + 2 = 0 for t.
1, 7
Factor v**2/7 - 9*v + 950/7.
(v - 38)*(v - 25)/7
Suppose -2*i**2/15 + 52*i/15 - 32/5 = 0. What is i?
2, 24
Find u, given that u**5/5 - 8*u**4/5 - 43*u**3/5 - 58*u**2/5 - 24*u/5 = 0.
-2, -1, 0, 12
Let 2*k**4/13 + 84*k**3/13 - 6*k**2/13 - 256*k/13 - 168/13 = 0. What is k?
-42, -1, 2
Solve -4*h**3 - 1716*h**2 + 1720*h = 0 for h.
-430, 0, 1
Determine m so that -3*m**5 + 21*m**4 + 120*m**3 + 132*m**2 = 0.
-2, 0, 11
Factor m**2 + 16*m + 64.
(m + 8)**2
Determine q, given that 4*q**2 - 45952*q + 131974144 = 0.
5744
Determine p so that 15*p**4 - 1558*p**3 - 1783*p**2 - 210*p = 0.
-1, -2/15, 0, 105
Factor -f**3/4 + 2*f**2 - 9*f/4 - 9/2.
-(f - 6)*(f - 3)*(f + 1)/4
Factor -25*t**2/3 - 84*t - 20/3.
-(t + 10)*(25*t + 2)/3
Factor 2*r**3 - 10*r**2 + 16*r - 8.
2*(r - 2)**2*(r - 1)
Solve 5*n**5 - 50*n**3 + 100*n**2 - 75*n + 20 = 0.
-4, 1
Suppose 3*k**2/7 + 1380*k/7 + 158700/7 = 0. What is k?
-230
Factor 5*b**4 - 80*b**3 + 115*b**2 + 1700*b + 1500.
5*(b - 10)**2*(b + 1)*(b + 3)
Factor r**5 + 311*r**4 - r**3 - 311*r**2.
r**2*(r - 1)*(r + 1)*(r + 311)
Find z such that -12*z**3/7 - 20*z**2/7 + 104*z/7 - 32/7 = 0.
-4, 1/3, 2
Factor -2*d**2 - 82*d - 156.
-2*(d + 2)*(d + 39)
Suppose d**3/5 + 11*d**2/5 - 26*d/5 = 0. Calculate d.
-13, 0, 2
What is r in -42*r**4 - 5892*r**3/5 - 8298*r**2 - 2184*r/5 + 1176/5 = 0?
-14, -1/5, 1/7
Determine p so that 20*p**5 - 2192*p**4 + 61780*p**3 - 93736*p**2 + 10800*p + 23328 = 0.
-2/5, 1, 54
Factor -2*y**2/21 + 736*y/21 - 67712/21.
-2*(y - 184)**2/21
Factor 16*t**3/9 - 44*t**2/3 - 1648*t/9 + 140/3.
4*(t - 15)*(t + 7)*(4*t - 1)/9
Factor 2*n**2 + 8*n - 24.
2*(n - 2)*(n + 6)
Factor -y**3 - 9411*y**2 - 29522307*y - 30870492353.
-(y + 3137)**3
Let -242*u**4/17 + 1056*u**3/17 - 1152*u**2/17 = 0. What is u?
0, 24/11
Let -2*o**2/9 + 310*o/9 - 308/9 = 0. Calculate o.
1, 154
Factor 3*l**2 + 9*l - 390.
3*(l - 10)*(l + 13)
Factor h**3 + 119*h**2 + 3480*h - 3600.
(h - 1)*(h + 60)**2
Find i such that -3*i**3 + 1365*i**2 - 154584*i - 155952 = 0.
-1, 228
Factor -2*d**4 - 4*d**3 + 26*d**2 - 20*d.
-2*d*(d - 2)*(d - 1)*(d + 5)
Let -2*y**4/5 + 296*y**3/5 - 16428*y**2/5 + 405224*y/5 - 3748322/5 = 0. What is y?
37
Determine n so that 3*n**5 - 3*n**4 - 18*n**3 - 6*n**2 + 15*n + 9 = 0.
-1, 1, 3
Factor -5*s**3 + 195*s**2 - 1750*s.
-5*s*(s - 25)*(s - 14)
Factor -2*u**2/13 + 98*u/13 + 100/13.
-2*(u - 50)*(u + 1)/13
Find p, given that 2*p**5 + 1660*p**4 + 342782*p**3 - 693884*p**2 - 342784*p + 692224 = 0.
-416, -1, 1, 2
Solve -18*y**5 - 40*y**4 + 90*y**3 + 200*y**2 - 72*y - 160 = 0.
-20/9, -2, -1, 1, 2
Factor 63*m**3/5 - 114*m**2/5 - 213*m/5 - 36/5.
3*(m - 3)*(m + 1)*(21*m + 4)/5
Solve -5*h**3 - 145*h**2 + 5*h + 145 = 0 for h.
-29, -1, 1
Solve -p**2 - 100*p - 99 = 0 for p.
-99, -1
Factor 6*h**4 + 15*h**3 + 12*h**2 + 3*h.
3*h*(h + 1)**2*(2*h + 1)
Factor -k**4 + 91*k**3 + 771*k**2 + 2061*k + 1782.
-(k - 99)*(k + 2)*(k + 3)**2
Determine k so that 5*k**2 - 4320*k + 8620 = 0.
2, 862
Suppose 2*u**3/19 + 124*u**2/19 - 1088*u/19 + 2240/19 = 0. Calculate u.
-7