+ 1426/7 = 0. Calculate z.
1, 713
Factor r**5 + 6*r**4 - 15*r**3 + 8*r**2.
r**2*(r - 1)**2*(r + 8)
Solve n**2/7 + n/7 - 6/7 = 0 for n.
-3, 2
Factor -2*a**4/11 + 10*a**3/11 + 450*a**2/11 + 250*a + 5000/11.
-2*(a - 20)*(a + 5)**3/11
Let 2*u**2/9 + 86*u/9 + 28/3 = 0. What is u?
-42, -1
Factor 5*s**2 - 20*s - 60.
5*(s - 6)*(s + 2)
Solve 5*s**4 - 35*s**3 + 45*s**2 + 135*s - 270 = 0.
-2, 3
Factor 2*r**3/9 - 6*r**2 - 230*r/3 - 1850/9.
2*(r - 37)*(r + 5)**2/9
Solve -2*s**3/13 + 216*s**2/13 + 1824*s/13 + 3712/13 = 0 for s.
-4, 116
Factor -33*m**4 + 202*m**3 - 420*m**2 + 312*m - 32.
-(m - 2)**3*(33*m - 4)
Factor 4*j**3/9 - 140*j**2/9 + 136*j/9.
4*j*(j - 34)*(j - 1)/9
Factor -d**3/3 - 5*d**2/3 - 8*d/3 - 4/3.
-(d + 1)*(d + 2)**2/3
Factor -13*n**4 - 232*n**3 - 1212*n**2 - 1472*n + 256.
-(n + 2)*(n + 8)**2*(13*n - 2)
Factor 5*k**2 + 35*k - 90.
5*(k - 2)*(k + 9)
Factor 49*y**3/2 - 105*y**2 + 57*y/2 - 2.
(y - 4)*(7*y - 1)**2/2
Let 3*w**3/2 + 501*w**2/2 + 10332*w - 10584 = 0. Calculate w.
-84, 1
Factor -r**5/5 + 7*r**4/5 - 16*r**3/5 + 12*r**2/5.
-r**2*(r - 3)*(r - 2)**2/5
Suppose 25*i**3 - 1485*i**2 + 3440*i - 1140 = 0. Calculate i.
2/5, 2, 57
Factor 27*s**2 + 29*s + 2.
(s + 1)*(27*s + 2)
Find p, given that 7*p**4/3 + 488*p**3/3 + 8596*p**2/3 + 14624*p - 4416 = 0.
-46, -12, 2/7
What is u in 3*u**3 + 393*u**2 + 10437*u - 166353 = 0?
-71, 11
What is s in -2*s**5/3 + s**4/3 + 6*s**3 - 17*s**2/3 - 20*s/3 + 4 = 0?
-3, -1, 1/2, 2
Let 2*v**4 + 7*v**3 + 3*v**2 = 0. What is v?
-3, -1/2, 0
Factor -2*o**2/17 - 640*o/17 + 642/17.
-2*(o - 1)*(o + 321)/17
Determine z, given that 2*z**2/5 + 228*z/5 + 448/5 = 0.
-112, -2
Suppose 75*z**4/4 + 2615*z**3/2 - 20171*z**2/12 + 1135*z/3 - 71/3 = 0. What is z?
-71, 2/15, 1
Factor 2*k**2 - 780*k + 76050.
2*(k - 195)**2
What is y in -2*y**2/7 + 2326*y/7 - 332 = 0?
1, 1162
Find p, given that -2*p**3/11 - 504*p**2/11 + 46*p = 0.
-253, 0, 1
Solve -q**3/3 + 14*q**2 - 27*q + 40/3 = 0 for q.
1, 40
What is s in s**5/6 + 3*s**4 + 41*s**3/6 - 10*s**2 = 0?
-15, -4, 0, 1
Find x, given that 2*x**2/3 + 2*x = 0.
-3, 0
Factor -14*a**4/9 + 80*a**3/9 - 34*a**2/3 - 4*a.
-2*a*(a - 3)**2*(7*a + 2)/9
Factor -4*y**4 + 4*y**3 + 192*y**2 - 704*y + 512.
-4*(y - 4)**2*(y - 1)*(y + 8)
Factor 3*d**4 + 144*d**3 + 894*d**2 + 1368*d + 615.
3*(d + 1)**2*(d + 5)*(d + 41)
Factor w**4 - 136*w**3 - 426*w**2 + 1224*w + 3753.
(w - 139)*(w - 3)*(w + 3)**2
Factor 3*x**2 - 3213*x - 3216.
3*(x - 1072)*(x + 1)
Factor -121*l**2/9 - 176*l/3 - 64.
-(11*l + 24)**2/9
Factor p**4/3 - 83*p**3/3 + 560*p**2 + 588*p.
p*(p - 42)**2*(p + 1)/3
What is p in 2*p**3 + 57*p**2 + 82*p + 27 = 0?
-27, -1, -1/2
Let 160*o**5 - 624*o**4 + 794*o**3 - 408*o**2 + 72*o = 0. Calculate o.
0, 2/5, 3/4, 2
Factor -242*x**3 - 7172*x**2 + 2632*x - 240.
-2*(x + 30)*(11*x - 2)**2
Let 5*t**2/3 - 50*t/3 + 15 = 0. What is t?
1, 9
Solve -20*p**3/3 - 5*p**2 + 20*p/3 + 5 = 0 for p.
-1, -3/4, 1
Factor 5*f**3 - 10*f**2 - 105*f - 90.
5*(f - 6)*(f + 1)*(f + 3)
What is c in 2*c**3/15 + 26*c**2 - 664*c/5 + 320/3 = 0?
-200, 1, 4
Find s such that -s**5 - 20*s**4 + 118*s**3 - 172*s**2 + 75*s = 0.
-25, 0, 1, 3
Factor -j**2/6 + 480*j - 345600.
-(j - 1440)**2/6
Determine x so that -12*x**2 - 460*x - 448 = 0.
-112/3, -1
Solve -2*c**4 + 14*c**3 - 4*c**2 - 56*c + 48 = 0 for c.
-2, 1, 2, 6
Factor 5*o**3/3 + 100*o**2 + 1875*o + 11250.
5*(o + 15)**2*(o + 30)/3
Factor -m**2 - 2872*m - 2062096.
-(m + 1436)**2
Let 5*u**3 + 11025*u**2 + 6105000*u + 30250000 = 0. What is u?
-1100, -5
Let -2*q**5/7 + 48*q**4/7 + 404*q**3/7 + 904*q**2/7 + 114*q + 248/7 = 0. What is q?
-4, -1, 31
Let 4*f**3 - 208*f**2 + 2900*f - 5000 = 0. Calculate f.
2, 25
Solve 2*d**5/15 - 2*d**4/5 - 8*d**3/15 = 0 for d.
-1, 0, 4
Factor -3*u**2 - 30*u + 33.
-3*(u - 1)*(u + 11)
Factor -4*r**4 + 580*r**3 - 27636*r**2 + 412972*r + 941192.
-4*(r - 49)**3*(r + 2)
Find a, given that -5*a**3 + 1335*a**2 = 0.
0, 267
Let -2*h**3 + 62*h**2 + 480*h - 19584 = 0. Calculate h.
-17, 24
Factor -j**3/6 + 75*j**2/2 + j/6 - 75/2.
-(j - 225)*(j - 1)*(j + 1)/6
Suppose -m**5/9 + 2*m**4/9 + 26*m**3/3 - 400*m**2/9 + 275*m/9 + 250/3 = 0. What is m?
-10, -1, 3, 5
Solve -2*w**2 - 32*w - 126 = 0 for w.
-9, -7
Factor -5*h**5 - 1030*h**4 - 52005*h**3 + 107120*h**2 - 54080*h.
-5*h*(h - 1)**2*(h + 104)**2
Factor k**5 + 4*k**4 + 2*k**3 - 4*k**2 - 3*k.
k*(k - 1)*(k + 1)**2*(k + 3)
Solve -2*r**2 + 32*r + 1024 = 0.
-16, 32
Factor -m**3/3 + 26*m**2/3 - 51*m.
-m*(m - 17)*(m - 9)/3
Suppose u**2/10 + 5413*u/5 + 29300569/10 = 0. Calculate u.
-5413
Find k such that 2*k**4/7 + 24*k**3/7 + 62*k**2/7 - 24*k/7 - 64/7 = 0.
-8, -4, -1, 1
Let -2*o**3/5 - 68*o**2/5 + 46*o/5 + 12696/5 = 0. What is o?
-23, 12
Factor 3*m**5 - 36*m**4 + 33*m**3.
3*m**3*(m - 11)*(m - 1)
Find a, given that 5*a**4 + 30*a**3 - 35*a**2 = 0.
-7, 0, 1
Factor -2*r**2/5 - 38*r/5 + 60.
-2*(r - 6)*(r + 25)/5
Determine s so that -212*s**2 - 644*s - 24 = 0.
-3, -2/53
Solve -n**5/8 + 23*n**4/8 - 77*n**3/4 + 107*n**2/2 - 65*n + 28 = 0 for n.
1, 2, 4, 14
Determine i, given that -2*i**3/3 + 74*i**2/3 - 240*i + 216 = 0.
1, 18
Determine u so that -125*u**3/7 + 225*u**2/7 - 135*u/7 + 27/7 = 0.
3/5
Solve 2*o**3 + 20*o**2 + 54*o + 36 = 0.
-6, -3, -1
Suppose -8*z**5 - 132*z**4 - 1145*z**3/2 - 401*z**2/2 + 216*z - 32 = 0. What is z?
-8, -1, 1/4
Solve -2*o**3/19 + 226*o**2/19 - 212*o/19 - 1344/19 = 0 for o.
-2, 3, 112
Let 2*z**2/5 - 352*z/5 + 70 = 0. Calculate z.
1, 175
Find h, given that 2*h**4/11 - 482*h**3/11 + 28794*h**2/11 + 2750*h - 5324 = 0.
-2, 1, 121
Solve l**3/2 + 16*l**2 - 219*l/2 + 171 = 0 for l.
-38, 3
Factor -o**2 - 2067*o/5 - 826/5.
-(o + 413)*(5*o + 2)/5
Factor -v**2/2 - 355*v/4 + 225.
-(v + 180)*(2*v - 5)/4
Factor 2*s**2/15 + 9128*s/15 + 10415048/15.
2*(s + 2282)**2/15
Find w such that 6*w**3 - 105*w**2 - 432*w - 189 = 0.
-3, -1/2, 21
Factor -4*y**2 - 192*y + 1296.
-4*(y - 6)*(y + 54)
Factor 2*l**2/5 - 1100*l + 5498/5.
2*(l - 2749)*(l - 1)/5
Factor -4*q**3 + 32*q**2 - 76*q + 48.
-4*(q - 4)*(q - 3)*(q - 1)
Solve -2*q**5/7 + 66*q**4/7 - 526*q**3/7 + 66*q**2 = 0 for q.
0, 1, 11, 21
Factor 3*m**3 - 57*m**2 + 360*m - 756.
3*(m - 7)*(m - 6)**2
Solve 6*i**5 - 2*i**4 - 222*i**3 + 578*i**2 - 168*i = 0.
-7, 0, 1/3, 3, 4
Find m such that -m**2 - 28*m = 0.
-28, 0
Solve -98*t**4/3 + 33460*t**3/3 + 223768*t**2/3 + 39888*t + 5568 = 0 for t.
-6, -2/7, 348
Factor -2*d**2/9 + 580*d/9 - 42050/9.
-2*(d - 145)**2/9
Factor -5*l**3 + 33555*l**2 - 56313675*l + 56280125.
-5*(l - 3355)**2*(l - 1)
Suppose -d**2/6 + d + 8/3 = 0. Calculate d.
-2, 8
Suppose 2*w**3 + 312*w**2 - 630*w + 316 = 0. Calculate w.
-158, 1
Determine z so that -2*z**5/11 - 2*z**4/11 + 34*z**3/11 - 30*z**2/11 = 0.
-5, 0, 1, 3
Factor w**3/5 + 119*w**2/5 - 50*w - 968/5.
(w - 4)*(w + 2)*(w + 121)/5
Suppose s**4/2 - 11*s**3/2 + 12*s**2 + 2*s - 16 = 0. Calculate s.
-1, 2, 8
Factor 5*y**4 - 65*y**3 + 60*y**2.
5*y**2*(y - 12)*(y - 1)
What is m in -2*m**2/5 - 60*m - 2250 = 0?
-75
Factor -4*x**2/3 - 35*x - 26/3.
-(x + 26)*(4*x + 1)/3
Find d such that 4*d**3/15 + 2*d**2/3 - 22*d/15 - 28/15 = 0.
-7/2, -1, 2
Suppose 3*h**5 - 141*h**4 - 150*h**3 + 288*h**2 = 0. Calculate h.
-2, 0, 1, 48
Factor 4*p**4 - 8*p**3 - 20*p**2 + 24*p.
4*p*(p - 3)*(p - 1)*(p + 2)
Factor 225*z**3 - 480*z**2 + 21*z + 294.
3*(3*z + 2)*(5*z - 7)**2
Factor -2*q**2/15 - 16*q/5 + 10/3.
-2*(q - 1)*(q + 25)/15
Find i, given that -2*i**5 - 70*i**4 - 614*i**3 - 546*i**2 = 0.
-21, -13, -1, 0
Determine y so that -170*y**4/3 - 1048*y**3/3 - 1682*y**2/3 - 52*y + 48 = 0.
-3, -2/5, 4/17
Determine b, given that -b**2/4 - 17*b/4 = 0.
-17, 0
Factor 3*t**4 - 3*t**3 - 9*t**2 + 3*t + 6.
3*(t - 2)*(t - 1)*(t + 1)**2
Factor 2*i**2/3 + 241*i/3 + 40.
(i + 120)*(2*i + 1)/3
Let 3*g**4/7 - 12*g**3/7 - 48*g**2/7 + 48*g/7 + 144/7 = 0. Calculate g.
-2, 2, 6
Find z such that -33*z**3 + 1006*z**2 + 525*z + 62 = 0.
-1/3, -2/11, 31
Factor -9*h**4 - 23*h**3 - 5*h**2 + 23*h + 14.
-(h - 1)*(h + 1)**2*(9*h + 14)
Factor f**3/4 + 41*f**2/4 - 21*f/2.
f*(f - 1)*(f + 42)/4
Determine k, given that 8*k**2/3 + 338*k/3 + 28 = 0.
-42, -1/4
Determine r so that -2*r**5 + 25*r**4/2 - 19*r**3 - 8*r**2 + 21*r - 9/2 = 0.
-1, 1/4, 1, 3
Solve -u**4 - 17*u**3/4 - 5*u**2 - u = 0.
-2, -1/4, 0
Factor -m**4/3 - 10*m**3/3 - 11*m**2 - 40*m/3 - 16/3.
-(m + 1)**2*(m + 4)**2/3
Find t, given that 2*t**3/11 + 48*t