 6 = 0.
1, 6
Factor 4*d**4 + 480*d**3 + 456*d**2 - 2368*d + 1428.
4*(d - 1)**2*(d + 3)*(d + 119)
Find m such that -147*m**4/2 + 3843*m**3/2 + 1845*m**2 - 3936*m + 1296 = 0.
-2, 4/7, 27
Suppose 70*a**5/3 + 26*a**4 - 350*a**3/3 + 54*a**2 + 64*a/3 - 8 = 0. Calculate a.
-3, -2/5, 2/7, 1
Factor -3*m**3 + 30*m**2 + 12*m - 120.
-3*(m - 10)*(m - 2)*(m + 2)
Determine m so that -8*m**4 + 306*m**3 - 70*m**2 - 228*m = 0.
-3/4, 0, 1, 38
Factor 9*g**3/4 + 381*g**2/4 + 4095*g/4 + 1323/4.
3*(g + 21)**2*(3*g + 1)/4
Factor -2*y**3/7 - 344*y**2/7 - 1018*y/7 - 676/7.
-2*(y + 1)*(y + 2)*(y + 169)/7
Factor -g**3 + 2*g**2 - g.
-g*(g - 1)**2
Find q, given that -5*q**5 - 35*q**4 - 30*q**3 + 110*q**2 + 35*q - 75 = 0.
-5, -3, -1, 1
Factor -8*s**4 + 4*s**3 + 452*s**2 + 224*s.
-4*s*(s - 8)*(s + 7)*(2*s + 1)
Factor a**2/2 - 213*a + 424.
(a - 424)*(a - 2)/2
Suppose -h**5/3 + 31*h**4/3 - 106*h**3 + 1282*h**2/3 - 1729*h/3 + 245 = 0. Calculate h.
1, 7, 15
Solve j**3 + 183*j**2 + 182*j = 0 for j.
-182, -1, 0
Determine b, given that -3*b**2 - 15*b + 18 = 0.
-6, 1
Factor -2*m**3 - 140*m**2 + 1806*m + 1944.
-2*(m - 12)*(m + 1)*(m + 81)
Let 2*h**2 - 876*h + 95922 = 0. What is h?
219
Solve -4*w**4/5 + 128*w**3/5 + 172*w**2/5 - 1352*w/5 + 1056/5 = 0.
-4, 1, 2, 33
Let -m**2 + 16*m + 57 = 0. What is m?
-3, 19
Solve 2*g**3/5 + 118*g**2/5 + 336*g - 360 = 0 for g.
-30, 1
Suppose -3*t**4 + 97*t**3/2 + 61*t**2 - 635*t/2 + 51 = 0. Calculate t.
-3, 1/6, 2, 17
Factor k**4/2 - 19*k**3/2 + 127*k**2/2 - 357*k/2 + 180.
(k - 8)*(k - 5)*(k - 3)**2/2
Factor -5*m**2 - 1150*m.
-5*m*(m + 230)
Factor -2*m**3/7 + 52*m**2/7 - 440*m/7 + 1200/7.
-2*(m - 10)**2*(m - 6)/7
Suppose o**3/4 + 157*o**2/4 - 79*o/2 = 0. What is o?
-158, 0, 1
Factor -3*g**3 - 9*g**2 + 423*g + 429.
-3*(g - 11)*(g + 1)*(g + 13)
What is u in u**5/5 + 42*u**4/5 + 193*u**3/5 + 60*u**2 + 148*u/5 = 0?
-37, -2, -1, 0
Find h such that -2*h**5 + 18*h**4 + 22*h**3 - 18*h**2 - 20*h = 0.
-1, 0, 1, 10
Factor -v**5/6 + 37*v**4/6 - 283*v**3/6 - 1081*v**2/6 - 580*v/3 - 200/3.
-(v - 20)**2*(v + 1)**3/6
Solve 4*m**4 - 28*m**3 - 316*m**2 + 940*m + 6600 = 0.
-5, 6, 11
Suppose 4*v**2/5 + 852*v/5 = 0. What is v?
-213, 0
Factor -5*u**2 + 500*u - 12500.
-5*(u - 50)**2
Factor -5*n**4 - 420*n**3 - 9185*n**2 - 13530*n + 67240.
-5*(n - 2)*(n + 4)*(n + 41)**2
Factor j**3/2 - 807*j**2 + 3225*j/2 - 806.
(j - 1612)*(j - 1)**2/2
Find z such that 2*z**2/15 - 118*z/5 = 0.
0, 177
Determine n so that -n**2/5 + 18*n - 729/5 = 0.
9, 81
Factor -k**4/2 - 7*k**3/2 - 7*k**2 - 4*k.
-k*(k + 1)*(k + 2)*(k + 4)/2
Determine w so that 3*w**4/2 + w**3/4 - 3*w**2/2 - w/4 = 0.
-1, -1/6, 0, 1
Factor 242*v**5 - 1078*v**4 + 1910*v**3 - 1682*v**2 + 736*v - 128.
2*(v - 1)**3*(11*v - 8)**2
Suppose -y**2 + 31*y - 210 = 0. What is y?
10, 21
Factor c**5/5 - 2*c**4 + 21*c**3/5 + 4*c**2/5 - 28*c/5.
c*(c - 7)*(c - 2)**2*(c + 1)/5
Factor f**2 + 19*f - 182.
(f - 7)*(f + 26)
Factor -4*d**2 - 64*d + 144.
-4*(d - 2)*(d + 18)
Let 81*y**3/5 + 22482*y**2/5 - 10004*y/5 + 1112/5 = 0. Calculate y.
-278, 2/9
Suppose 2*v**5/5 + 2*v**4 - 106*v**3/5 + 262*v**2/5 - 256*v/5 + 88/5 = 0. Calculate v.
-11, 1, 2
Factor -2*k**3/5 - 56*k**2/5 - 106*k/5 - 52/5.
-2*(k + 1)**2*(k + 26)/5
Solve -2*z**4/5 + 36*z**3/5 + 288*z**2/5 = 0.
-6, 0, 24
Let -4*r**2 - 320*r - 6400 = 0. What is r?
-40
Factor 3*g**4/2 + 45*g**3 + 171*g**2/2 + 42*g.
3*g*(g + 1)**2*(g + 28)/2
Factor t**3/3 - 211*t**2/3.
t**2*(t - 211)/3
Factor -s**4 - 2*s**3 + 8*s**2 + 18*s + 9.
-(s - 3)*(s + 1)**2*(s + 3)
Solve -5*p**3 - 65*p**2 - 180*p = 0 for p.
-9, -4, 0
Determine n so that 4*n**2 - 340*n - 696 = 0.
-2, 87
Suppose r**3/5 - 4*r**2/5 - 7*r/5 + 2 = 0. Calculate r.
-2, 1, 5
Determine n, given that 3*n**3 - 18*n**2 + 9*n + 30 = 0.
-1, 2, 5
Find o such that -2*o**2 + 240*o - 7200 = 0.
60
Factor x**2/3 + 322*x/3 + 25921/3.
(x + 161)**2/3
What is k in 3*k**2 + 1650*k - 6648 = 0?
-554, 4
Let 3*q**2/5 - 579*q/5 + 576/5 = 0. What is q?
1, 192
Factor -5*f**4 + 145*f**3 - 735*f**2 + 1055*f - 460.
-5*(f - 23)*(f - 4)*(f - 1)**2
Find a, given that 3*a**2/5 + 15108*a/5 + 19020972/5 = 0.
-2518
Factor u**3/4 + 29*u**2/4 - 1232*u + 23808.
(u - 32)**2*(u + 93)/4
What is a in 4*a**4 - 20*a**3 - 28*a**2 + 116*a + 120 = 0?
-2, -1, 3, 5
Solve -j**5/3 - j**4/6 + 11*j**3/6 - 11*j**2/6 + j/2 = 0 for j.
-3, 0, 1/2, 1
Determine h, given that 6*h**4 - 246*h**3 - 9*h**2/2 + 183*h + 123/2 = 0.
-1/2, 1, 41
Factor 2*h**2/11 + 10*h - 112/11.
2*(h - 1)*(h + 56)/11
Find b such that b**5 + 39*b**4 - 2*b**3 - 78*b**2 + b + 39 = 0.
-39, -1, 1
Factor 3*n**2/2 - 1065*n/2 - 1071.
3*(n - 357)*(n + 2)/2
Solve -z**2/4 + 14*z - 196 = 0.
28
Determine j so that 2*j**3/9 - 4*j**2/9 - 682*j/9 + 76 = 0.
-18, 1, 19
Factor 2*y**4 + 32*y**3 + 48*y**2 - 128*y - 224.
2*(y - 2)*(y + 2)**2*(y + 14)
Determine k, given that k**4/3 + 20*k**3/3 - 22*k**2 + 68*k/3 - 23/3 = 0.
-23, 1
Find f, given that f**5/6 - 2*f**4 + 5*f**3/6 + 11*f**2 = 0.
-2, 0, 3, 11
Let -5*g**2 + 160*g - 155 = 0. What is g?
1, 31
Factor -5*c**4 + 35*c**2 + 30*c.
-5*c*(c - 3)*(c + 1)*(c + 2)
Factor 5*g**2 + 275*g.
5*g*(g + 55)
Factor -3*w**5/7 - 36*w**4/7 - 156*w**3/7 - 288*w**2/7 - 192*w/7.
-3*w*(w + 2)**2*(w + 4)**2/7
What is a in 8*a**5 + 1046*a**4 + 37530*a**3 + 217720*a**2 + 312232*a - 92256 = 0?
-62, -4, -3, 1/4
Factor -4*k**4 + 32*k**2 - 64.
-4*(k - 2)**2*(k + 2)**2
Factor 117*g**2 - 57*g + 6.
3*(3*g - 1)*(13*g - 2)
Determine i, given that 5*i**5 + 75*i**4 + 380*i**3 + 660*i**2 - 160*i - 960 = 0.
-6, -4, -2, 1
Determine t, given that t**2 + 481*t + 480 = 0.
-480, -1
Factor 105*z**4 + 410*z**3 - 565*z**2 + 50*z.
5*z*(z - 1)*(z + 5)*(21*z - 2)
Factor -z**3/2 + 37*z**2 + 309*z/2 + 117.
-(z - 78)*(z + 1)*(z + 3)/2
Factor 2*y**4 + 112*y**3 - 354*y**2 + 8*y + 472.
2*(y - 2)**2*(y + 1)*(y + 59)
Determine d so that 32*d**4/3 + 544*d**3/3 + 174*d**2 + 161*d/3 + 16/3 = 0.
-16, -1/2, -1/4
Factor -2*m**2 + 18.
-2*(m - 3)*(m + 3)
Factor 5*c**4 - 410*c**3 - 4095*c**2.
5*c**2*(c - 91)*(c + 9)
Determine i, given that -4*i**2 - 168*i + 540 = 0.
-45, 3
Let 2*x**5/7 + 20*x**4/7 + 36*x**3/7 - 8*x**2 - 86*x/7 + 12 = 0. Calculate x.
-7, -3, -2, 1
Let -2*f**5/3 - 686*f**4/3 - 20394*f**3 - 135078*f**2 - 284256*f - 169344 = 0. What is f?
-168, -3, -1
Suppose -l**5/2 - 19*l**4/3 - 28*l**3/3 - 5*l**2/3 + 11*l/6 = 0. What is l?
-11, -1, 0, 1/3
What is f in 9*f**2 + 419*f - 428 = 0?
-428/9, 1
Find z, given that -22*z**4/15 - 6*z**3/5 + 26*z**2/15 + 6*z/5 - 4/15 = 0.
-1, 2/11, 1
Factor -3*w**4 - 54*w**3 - 216*w**2 + 96*w + 1152.
-3*(w - 2)*(w + 4)**2*(w + 12)
Factor -3*j**2/7 + 375*j/7 + 54.
-3*(j - 126)*(j + 1)/7
Determine v so that -8*v**3/11 + 18*v**2/11 + 20*v/11 - 6/11 = 0.
-1, 1/4, 3
Factor -o**4/3 - o**3/3 + 5*o**2/3 - o.
-o*(o - 1)**2*(o + 3)/3
Solve 3*s**2 + 186*s + 2883 = 0.
-31
Find o such that -9*o**5/4 + 3*o**4/2 + 6*o**3 - 3*o**2/2 - 15*o/4 = 0.
-1, 0, 1, 5/3
Solve 5*s**2 - 350*s + 6125 = 0 for s.
35
Find f, given that -4*f**2 + 356*f - 352 = 0.
1, 88
Solve -5*h**4 + 25*h**3 - 20*h**2 = 0 for h.
0, 1, 4
Find q, given that -3*q**5 - 27*q**4 + 9*q**3 + 75*q**2 - 54*q = 0.
-9, -2, 0, 1
Find v, given that 2*v**4 - 10*v**3 + 10*v**2 + 10*v - 12 = 0.
-1, 1, 2, 3
Factor -2*k**3/5 + 36*k**2/5 - 48*k/5 - 256/5.
-2*(k - 16)*(k - 4)*(k + 2)/5
Factor -n**3/3 + n**2.
-n**2*(n - 3)/3
Factor 28*m**2 - 20*m - 8.
4*(m - 1)*(7*m + 2)
Factor x**3 - 204*x**2 + 13872*x - 314432.
(x - 68)**3
Factor -4*v**2/5 + 13736*v/5 - 13732/5.
-4*(v - 3433)*(v - 1)/5
Find g such that 8*g**5/9 - 64*g**4/9 - 2*g**3/3 + 50*g**2/9 - 16*g/9 = 0.
-1, 0, 1/2, 8
Find a such that -5*a**2/3 - 290*a/3 - 4205/3 = 0.
-29
Factor 3*l**3 + 27*l**2 + 18*l - 48.
3*(l - 1)*(l + 2)*(l + 8)
Factor -21*w**2/5 - 159*w/5 + 72/5.
-3*(w + 8)*(7*w - 3)/5
Determine i so that i**4 - 19*i**3 + 78*i**2 - 116*i + 56 = 0.
1, 2, 14
Find n such that -3*n**3/2 - 51*n**2/2 + 27*n = 0.
-18, 0, 1
Factor 2*u**5/7 - 8*u**3/7.
2*u**3*(u - 2)*(u + 2)/7
Find y, given that -3*y**3 + 570*y**2 + 5925*y + 15000 = 0.
-5, 200
Factor -x**2/2 - 1400*x - 980000.
-(x + 1400)**2/2
Find g, given that -2*g**4 + 232*g**3 - 6728*g**2 = 0.
0, 58
Determine i so that -2*i**2 - 212*i + 1824 = 0.
-114, 8
Solve -35*i**4 + 240*i**3 + 1225*i**2 - 1230*i - 200 = 0 for i.
-4, -1/7, 1, 10
Factor -3*y**2 - 32256*y - 86704128.
-3*(y + 5376)**2
Factor s