mine p, given that p**2/6 + p/6 - 1/3 = 0.
-2, 1
Factor -t**3/5 - 21*t**2/5 - 24*t - 208/5.
-(t + 4)**2*(t + 13)/5
Suppose z**2/4 - 58*z + 115 = 0. What is z?
2, 230
Determine j so that -7*j**2 + 96*j + 135 = 0.
-9/7, 15
Factor h**3/5 - 207*h**2/5 + 14283*h/5 - 328509/5.
(h - 69)**3/5
Factor -4*m**2 - 1824*m + 1828.
-4*(m - 1)*(m + 457)
Factor -3*b**4/5 + 186*b**3/5 - 3231*b**2/5 + 10788*b/5 - 10092/5.
-3*(b - 29)**2*(b - 2)**2/5
Factor o**4 - 17*o**3 - 107*o**2 - 75*o + 198.
(o - 22)*(o - 1)*(o + 3)**2
Factor 2*p**3/7 - 68*p**2/7 - 2*p/7 + 68/7.
2*(p - 34)*(p - 1)*(p + 1)/7
Suppose 2*y**4/5 - 32*y**3/5 + 102*y**2/5 - 72*y/5 = 0. What is y?
0, 1, 3, 12
Let -3*d**3 + 147*d = 0. Calculate d.
-7, 0, 7
Suppose -o**5/2 + 51*o**4/8 + 269*o**3/8 + 42*o**2 + 17*o/2 = 0. What is o?
-2, -1/4, 0, 17
Determine z so that -z**2 - 105*z - 864 = 0.
-96, -9
Suppose -2*q**5/5 + 88*q**4/5 - 166*q**3/5 - 88*q**2/5 + 168*q/5 = 0. What is q?
-1, 0, 1, 2, 42
Factor q**5 - q**4 - 3*q**3 + q**2 + 2*q.
q*(q - 2)*(q - 1)*(q + 1)**2
Determine a, given that 3*a**4/4 - 1095*a**3/4 + 99369*a**2/4 + 100467*a/4 = 0.
-1, 0, 183
Suppose -3*j**5/2 + 45*j**4 - 42*j**3 - 45*j**2 + 87*j/2 = 0. Calculate j.
-1, 0, 1, 29
Factor 5*w**3 + 5*w**2 - 80*w - 80.
5*(w - 4)*(w + 1)*(w + 4)
Find q such that -q**2/6 + 163*q/3 - 26569/6 = 0.
163
Factor -27*u**2/4 + 213*u/2 - 399/4.
-3*(u - 1)*(9*u - 133)/4
Find k such that -21*k**4 - 69*k**3 - 60*k**2 - 12*k = 0.
-2, -1, -2/7, 0
What is i in 232629370880*i**5 + 128288256000*i**4 + 28298880000*i**3 + 3121200000*i**2 + 172125000*i + 3796875 = 0?
-15/136
Factor -2*z**2/11 - 34*z/11.
-2*z*(z + 17)/11
Factor 2*r**4 - 8*r**2.
2*r**2*(r - 2)*(r + 2)
Factor 4*c**2/7 + 2752*c/7 + 8220/7.
4*(c + 3)*(c + 685)/7
Let -2*v**2/19 - 288*v/19 - 10368/19 = 0. What is v?
-72
Find v such that -15*v**3/2 - 265*v**2/2 - 205*v - 80 = 0.
-16, -1, -2/3
Factor d**4/2 - 4*d**3 + 17*d**2/2 - 5*d.
d*(d - 5)*(d - 2)*(d - 1)/2
Factor -32*z**3 + 336*z**2 - 1122*z + 1210.
-2*(z - 5)*(4*z - 11)**2
Factor -4*d**3 - 52*d**2 + 36*d + 468.
-4*(d - 3)*(d + 3)*(d + 13)
Factor 2*c**2/5 - 16*c/5 + 6.
2*(c - 5)*(c - 3)/5
Factor 5*s**4 + 20*s**3 + 10*s**2 - 20*s - 15.
5*(s - 1)*(s + 1)**2*(s + 3)
Solve -4*m**4 + 12*m**3 + 132*m**2 - 140*m = 0 for m.
-5, 0, 1, 7
Determine s, given that 3*s**4 - 24*s**3 + 63*s**2 - 66*s + 24 = 0.
1, 2, 4
Determine a, given that -4*a**4 + 12*a**3 + 4*a**2 - 12*a = 0.
-1, 0, 1, 3
Factor -c**4/4 + 679*c**3 - 614268*c**2 + 184688100*c + 371838708.
-(c - 906)**3*(c + 2)/4
Let -g**4/5 - 14*g**3/5 + 3*g**2 + 100*g - 100 = 0. What is g?
-10, 1, 5
Suppose l**2 + 30*l + 81 = 0. Calculate l.
-27, -3
Determine z, given that -3*z**5 + 33*z**3 + 54*z**2 + 24*z = 0.
-2, -1, 0, 4
Factor -2*r**2/5 - 274*r/5 - 804/5.
-2*(r + 3)*(r + 134)/5
Let -2*q**5 + 24*q**4 + 38*q**3 - 148*q**2 - 120*q + 208 = 0. What is q?
-2, 1, 2, 13
Solve i**3/4 + 15*i**2 - 123*i/4 + 31/2 = 0 for i.
-62, 1
Find s, given that 3*s**4 - 180*s**3 - 9*s**2 + 546*s - 360 = 0.
-2, 1, 60
Suppose -2*n**2/13 + 178*n/13 = 0. What is n?
0, 89
Find i, given that -2*i**3/9 + 16*i**2/9 + 38*i/9 + 20/9 = 0.
-1, 10
Determine p so that -8*p**5 - 12*p**4 + 28*p**3 + 48*p**2 + 16*p = 0.
-2, -1, -1/2, 0, 2
What is x in -2*x**2/7 + 478*x/7 - 948/7 = 0?
2, 237
Suppose -a**5/3 + 11*a**4/3 + 40*a**3/3 + 28*a**2/3 = 0. Calculate a.
-2, -1, 0, 14
Suppose -4*q**2/5 - 108*q/5 + 112/5 = 0. Calculate q.
-28, 1
Factor 2*v**2/3 + 40*v - 122/3.
2*(v - 1)*(v + 61)/3
Suppose 4*s**4 + 128*s**3 + 1024*s**2 = 0. What is s?
-16, 0
Suppose -5*p**3/3 + 40*p**2 - 240*p = 0. What is p?
0, 12
Suppose 9*g**5 + 133*g**4 + 87*g**3 - 161*g**2 - 96*g + 28 = 0. What is g?
-14, -1, 2/9, 1
Find v such that 63*v**5/11 - 211*v**4/11 + 49*v**3/11 + 247*v**2/11 - 112*v/11 - 36/11 = 0.
-1, -2/9, 1, 18/7
Factor -5*p**4 - 65*p**3 - 240*p**2 - 180*p.
-5*p*(p + 1)*(p + 6)**2
Suppose 2*m**4/3 + 8*m**3 - 2*m**2/3 - 8*m = 0. Calculate m.
-12, -1, 0, 1
Factor -20*x**2 + 48*x - 28.
-4*(x - 1)*(5*x - 7)
Factor 2*l**4/5 + 2*l**3 - 12*l**2/5.
2*l**2*(l - 1)*(l + 6)/5
Factor p**2/5 - 9*p/5 - 36/5.
(p - 12)*(p + 3)/5
Determine n, given that -52*n**5/19 + 90*n**4/19 + 8*n**3/19 - 84*n**2/19 + 44*n/19 - 6/19 = 0.
-1, 3/13, 1/2, 1
Factor -y**2 + 590*y.
-y*(y - 590)
Factor -d**4/5 - 21*d**3 - 2703*d**2/5 + 2809*d/5.
-d*(d - 1)*(d + 53)**2/5
Let 5*t**2 - 5 = 0. Calculate t.
-1, 1
Let -2*m**3/5 - 2932*m**2/5 - 1074578*m/5 = 0. What is m?
-733, 0
Determine z, given that 2*z**3/5 - 12*z**2/5 + 6*z/5 + 4 = 0.
-1, 2, 5
Factor -3*a**2 - 198*a - 3192.
-3*(a + 28)*(a + 38)
Suppose 13*r**2 + 18*r - 136 = 0. Calculate r.
-4, 34/13
Solve 5*m**5 + 5*m**4 - 120*m**3 + 200*m**2 + 80*m - 240 = 0 for m.
-6, -1, 2
Determine m, given that 3*m**2/4 - 69*m + 1587 = 0.
46
Solve z**3/5 - 471*z**2/5 + 11139*z - 11045 = 0.
1, 235
Factor 4*a**3 - 1584*a**2 - 6388*a - 4800.
4*(a - 400)*(a + 1)*(a + 3)
Solve -240*w**4 + 35*w**3 + 240*w**2 - 35*w = 0 for w.
-1, 0, 7/48, 1
Let -18*o**5/7 - 48*o**4/7 - 26*o**3/7 - 4*o**2/7 = 0. What is o?
-2, -1/3, 0
Factor -m**2/4 - 5*m/4 + 9.
-(m - 4)*(m + 9)/4
Find m, given that 2*m**5 - 28*m**4 + 134*m**3 - 220*m**2 - 64*m + 320 = 0.
-1, 2, 4, 5
Let 12*c**4 - 256*c**3 - 180*c**2 + 88*c = 0. What is c?
-1, 0, 1/3, 22
Determine w so that w**3/4 + 11*w**2/4 + 8*w + 7 = 0.
-7, -2
What is p in 4*p**5/3 - 904*p**3/3 + 1536*p**2 + 1836*p = 0?
-17, -1, 0, 9
Factor -7*u**3 + 12*u**2 + 25*u + 6.
-(u - 3)*(u + 1)*(7*u + 2)
Solve 2*h**4 + 8*h**3 - 6*h**2 - 20*h + 16 = 0.
-4, -2, 1
Factor 3*x**3 + 9*x**2 - 3*x - 9.
3*(x - 1)*(x + 1)*(x + 3)
Factor -3*z**4 - 366*z**3 - 11523*z**2 - 21960*z - 10800.
-3*(z + 1)**2*(z + 60)**2
Factor -a**2/6 - 5*a + 33/2.
-(a - 3)*(a + 33)/6
Factor j**5/10 - 5*j**4/2 + 19*j**3 - 43*j**2 + 77*j/2 - 121/10.
(j - 11)**2*(j - 1)**3/10
What is j in j**2 + 5*j + 6 = 0?
-3, -2
Determine y, given that -3*y**4 - 9*y**3 - 6*y**2 = 0.
-2, -1, 0
Factor -q**5 + 6*q**4 - 8*q**3 - 2*q**2 + 9*q - 4.
-(q - 4)*(q - 1)**3*(q + 1)
What is b in -5*b**3 + 30*b**2 + 35*b = 0?
-1, 0, 7
Let -3964*q**2 - 15864*q - 32 = 0. Calculate q.
-4, -2/991
Factor 2*u**2 + 48*u + 288.
2*(u + 12)**2
Find f, given that f**4 - 10*f**3 + 32*f**2 - 38*f + 15 = 0.
1, 3, 5
Factor -8*g**2 + 8966*g + 2242.
-2*(g - 1121)*(4*g + 1)
Let v**5/4 - 6*v**4 + 30*v**3 - 113*v**2/2 + 183*v/4 - 27/2 = 0. Calculate v.
1, 3, 18
Find h, given that -2*h**3/13 + 366*h**2/13 - 726*h/13 + 362/13 = 0.
1, 181
Find o such that -352*o**5 + 208*o**4 + 314*o**3 - 206*o**2 + 38*o - 2 = 0.
-1, 1/11, 1/4, 1
Determine m so that m**4 + 4*m**3 - 28*m**2 + 32*m = 0.
-8, 0, 2
Suppose -3*u**2 - 18*u + 120 = 0. Calculate u.
-10, 4
Factor -n**2 - 7*n + 8.
-(n - 1)*(n + 8)
Let -5*h**4 + 50*h**3 - 180*h**2 + 270*h - 135 = 0. What is h?
1, 3
Find c such that -9*c**3 + 534*c**2 - 7740*c - 5400 = 0.
-2/3, 30
Solve 3*i**4 + 5079*i**3 + 5076*i**2 = 0 for i.
-1692, -1, 0
Factor -f**3 - 27*f**2 - 68*f + 96.
-(f - 1)*(f + 4)*(f + 24)
Solve 2*r**2 - 4640*r + 2691200 = 0.
1160
Factor v**4/2 + 225*v**3/2 + 16875*v**2/2 + 421875*v/2.
v*(v + 75)**3/2
Factor 3*p**2 - 60*p + 225.
3*(p - 15)*(p - 5)
Factor 2*h**4/21 - 2*h**3/7 - 2*h**2/21 + 2*h/7.
2*h*(h - 3)*(h - 1)*(h + 1)/21
Find f, given that 2*f**4/13 - 68*f**3/13 + 642*f**2/13 - 1088*f/13 + 512/13 = 0.
1, 16
Factor 2*k**2/5 - 3156*k/5 + 1245042/5.
2*(k - 789)**2/5
Factor -k**4 - 23*k**3 + 2511*k**2 + 107163*k + 1141614.
-(k - 58)*(k + 27)**3
Determine j so that -3*j**2/8 - 12*j = 0.
-32, 0
Solve -2*p**5 - 6*p**4 + 24*p**3 + 104*p**2 + 96*p = 0 for p.
-3, -2, 0, 4
Find o such that 3*o**2/5 - 46644*o/5 + 181305228/5 = 0.
7774
Let 2*o**5 + 8*o**4/3 - 20*o**3/3 - 8*o**2/3 + 14*o/3 = 0. Calculate o.
-7/3, -1, 0, 1
Let 3*o**3/4 + 37*o**2/4 - 29*o + 15 = 0. Calculate o.
-15, 2/3, 2
Determine z so that 27*z**3 + 912*z**2 - 3201*z + 666 = 0.
-37, 2/9, 3
Factor -g**2/2 + 6*g - 16.
-(g - 8)*(g - 4)/2
Suppose -2*d**4 + 178*d**3/3 - 284*d**2/3 + 112*d/3 = 0. Calculate d.
0, 2/3, 1, 28
Factor -6*q**3 + 495*q**2 - 243*q - 246.
-3*(q - 82)*(q - 1)*(2*q + 1)
Factor 26*v**3 - 48*v**2 - 86*v - 12.
2*(v - 3)*(v + 1)*(13*v + 2)
Determine w, given that -17*w**4 - 351*w**3 + 1155*w**2 - 1189*w + 402 = 0.
-402/17, 1
Determine s so that -5*s**4 - 5*s**3 + 35*s**2 + 5*s - 30 = 0.
-3, -1, 1, 2
Factor 65*h**2/4 + 1