ne m, given that 7*m**5 + 16*m**4 + 11*m**3 + 2*m**2 = 0.
-1, -2/7, 0
Find q such that -2*q**4 + 16*q**3 - 30*q**2 - 8*q + 40 = 0.
-1, 2, 5
Determine f, given that -2*f**3/7 - 22*f**2/7 - 38*f/7 - 18/7 = 0.
-9, -1
Solve 3*i**4/4 - 57*i**3/4 + 303*i**2/4 - 447*i/4 + 99/2 = 0 for i.
1, 6, 11
Determine n so that -3*n**4 - 279*n**3 - 273*n**2 + 279*n + 276 = 0.
-92, -1, 1
Find o such that -2*o**4 + 8*o**3 + 6*o**2 - 36*o = 0.
-2, 0, 3
Factor 2*y**3/3 - 2224*y**2/3.
2*y**2*(y - 1112)/3
Suppose 2*i**4/3 + 10*i**3 + 28*i**2/3 = 0. What is i?
-14, -1, 0
Factor 3*w**4/5 + 1524*w**3/5 + 1521*w**2/5.
3*w**2*(w + 1)*(w + 507)/5
Factor -x**5 + 5*x**4 + 32*x**3 + 36*x**2.
-x**2*(x - 9)*(x + 2)**2
Factor s**3 - 77*s**2 - 489*s - 747.
(s - 83)*(s + 3)**2
Suppose 2*c**5 - 50*c**4 + 372*c**3 - 676*c**2 - 374*c + 726 = 0. What is c?
-1, 1, 3, 11
Find k such that 2*k**2 - 8 = 0.
-2, 2
Factor p**5/3 + p**4.
p**4*(p + 3)/3
Determine q, given that -3*q**4 - 147*q**3 - 129*q**2 + 711*q - 432 = 0.
-48, -3, 1
Let 2*d**5 - 892*d**4 + 102104*d**3 - 591376*d**2 + 1168640*d - 774400 = 0. Calculate d.
2, 220
Let -4*b**2 + 16*b - 16 = 0. What is b?
2
Let -t**2/4 + 63*t/2 - 62 = 0. What is t?
2, 124
Let s**3/4 + 11*s**2/4 + 35*s/4 + 25/4 = 0. Calculate s.
-5, -1
Find h such that -h**3 - 8*h**2 = 0.
-8, 0
Factor 2*z**3/17 - 420*z**2/17 - 2574*z/17 - 3888/17.
2*(z - 216)*(z + 3)**2/17
Factor -4*f**3 + 276*f**2 - 272*f.
-4*f*(f - 68)*(f - 1)
Find p such that p**2/7 + 33*p/7 + 90/7 = 0.
-30, -3
Factor -o**2/8 + 201*o/4.
-o*(o - 402)/8
Suppose -3*l**4/7 - 102*l**3/7 - 1020*l**2/7 - 2250*l/7 + 3375/7 = 0. Calculate l.
-15, -5, 1
Factor -3*p**3 - 6*p**2 + 12*p + 24.
-3*(p - 2)*(p + 2)**2
Find u such that -u**2 + 13*u - 42 = 0.
6, 7
Find c such that 4*c**2 + 148*c = 0.
-37, 0
Let j**5 - 2*j**4 - 7*j**3 - 4*j**2 = 0. What is j?
-1, 0, 4
Factor -3*t**2/7 + 3306*t/7 - 910803/7.
-3*(t - 551)**2/7
Determine h, given that -785*h**2 - 765*h + 20 = 0.
-1, 4/157
What is a in -a**3/4 + 1359*a**2/4 - 615627*a/4 + 92959677/4 = 0?
453
Solve -10*v**2 + 1805*v - 900 = 0 for v.
1/2, 180
Factor 4*c**4 - 56*c**3 - 192*c**2 - 200*c - 68.
4*(c - 17)*(c + 1)**3
Find i such that 3*i**3/2 - 111*i**2/2 + 516*i - 462 = 0.
1, 14, 22
Solve -b**5/2 - 47*b**4/6 - 100*b**3/3 - 52*b**2 - 56*b/3 + 40/3 = 0.
-10, -2, 1/3
Factor -2*j**2/11 - 966*j/11 - 2880/11.
-2*(j + 3)*(j + 480)/11
Let -2*c**5/5 - 26*c**4/5 - 6*c**3 + 74*c**2 - 128*c/5 - 504/5 = 0. What is c?
-9, -7, -1, 2
Factor 2*b**5/5 - 2*b**4 - 26*b**3/5 - 14*b**2/5.
2*b**2*(b - 7)*(b + 1)**2/5
Factor 4*g**3/7 + 16*g**2/7 - 12*g/7 - 72/7.
4*(g - 2)*(g + 3)**2/7
Factor q**3 - 273*q**2 - 549*q - 275.
(q - 275)*(q + 1)**2
What is s in -41*s**3/5 - s**2/5 + 41*s/5 + 1/5 = 0?
-1, -1/41, 1
Solve 3*g**2 - 8796*g + 6447468 = 0.
1466
Factor 5*d**2 + 185*d + 800.
5*(d + 5)*(d + 32)
Determine a, given that -52*a**2 - 196*a - 120 = 0.
-3, -10/13
Determine f so that -2*f**5 - 1390*f**4 - 244964*f**3 - 1199916*f**2 - 1670490*f - 714150 = 0.
-345, -3, -1
What is n in n**3/5 + 107*n**2/5 - 108*n/5 = 0?
-108, 0, 1
Factor -3*v**3/4 - 51*v**2/4 + 267*v/4 + 315/4.
-3*(v - 5)*(v + 1)*(v + 21)/4
Suppose -6*c**5/13 - 730*c**4/13 - 8458*c**3/13 - 1470*c**2 - 15736*c/13 - 4360/13 = 0. Calculate c.
-109, -10, -1, -2/3
Determine k so that -20*k**5 - 345*k**4 + 1495*k**3 - 1665*k**2 + 325*k + 210 = 0.
-21, -1/4, 1, 2
Factor -8*n**4 - 968*n**3 - 27794*n**2 + 90024*n - 69192.
-2*(n + 62)**2*(2*n - 3)**2
Factor -2*l**2/13 - 200*l/13 - 5000/13.
-2*(l + 50)**2/13
Factor 3*r**2/2 + 840*r + 117600.
3*(r + 280)**2/2
Factor 2*c**2/3 - 18*c + 52/3.
2*(c - 26)*(c - 1)/3
Factor 4*m**5/7 + 720*m**4/7 + 37908*m**3/7 + 472392*m**2/7.
4*m**2*(m + 18)*(m + 81)**2/7
Factor 2*y**3 + 26*y**2 - 58*y + 30.
2*(y - 1)**2*(y + 15)
Factor -3136*m**4 - 30688*m**3 - 71716*m**2 + 16440*m - 900.
-4*(m + 5)**2*(28*m - 3)**2
Let -b**5/3 - 10*b**4/3 - 11*b**3 - 44*b**2/3 - 20*b/3 = 0. What is b?
-5, -2, -1, 0
What is l in -l**3/6 + 8*l**2/3 - 14*l + 24 = 0?
4, 6
Factor -3*m**2 - 351*m + 1830.
-3*(m - 5)*(m + 122)
Factor -18*a**2/7 + 309*a - 360/7.
-3*(a - 120)*(6*a - 1)/7
Factor i**5/4 - 9*i**4/2 + 24*i**3 - 32*i**2.
i**2*(i - 8)**2*(i - 2)/4
Determine x so that 105*x**4 + 198*x**3 - 1884*x**2 + 1800*x + 672 = 0.
-28/5, -2/7, 2
Find h, given that -30*h**5 + 185*h**4/2 - 65*h**3 - 5*h**2/2 + 5*h = 0.
-1/4, 0, 1/3, 1, 2
Factor -z**4/4 + 19*z**3/4 - 9*z**2/2.
-z**2*(z - 18)*(z - 1)/4
Suppose m**4/3 - 23*m**3/3 + 107*m**2/3 + 287*m/3 + 52 = 0. Calculate m.
-1, 12, 13
Factor y**2/6 + 1267*y/3 + 1605289/6.
(y + 1267)**2/6
Suppose 12*l**4/7 - 74*l**3/7 + 144*l**2/7 - 94*l/7 + 12/7 = 0. Calculate l.
1/6, 1, 2, 3
What is x in -182*x**2 - 908*x/5 + 2/5 = 0?
-1, 1/455
Factor 3*t**3 + 5*t**2 - 74*t + 24.
(t - 4)*(t + 6)*(3*t - 1)
Solve -3*a**5 - 24*a**4 - 18*a**3 + 24*a**2 + 21*a = 0.
-7, -1, 0, 1
Find b, given that 14*b**2/3 - 44*b/3 + 10 = 0.
1, 15/7
Factor 2*z**5/17 - 88*z**4/17 + 876*z**3/17 + 2024*z**2/17 + 1058*z/17.
2*z*(z - 23)**2*(z + 1)**2/17
Determine s, given that 3*s**2/4 + 63*s/2 - 138 = 0.
-46, 4
Factor -2*z**2/11 - 540*z/11.
-2*z*(z + 270)/11
Find g such that 3*g**2 - 45*g + 78 = 0.
2, 13
Factor -4*m**2 + 2752*m - 473344.
-4*(m - 344)**2
Factor 4*m**2 - 356*m - 360.
4*(m - 90)*(m + 1)
Let 2*i**5 + 12*i**4 + 22*i**3 + 12*i**2 = 0. Calculate i.
-3, -2, -1, 0
Factor 4*r**2 - 92*r.
4*r*(r - 23)
Factor -1419857*b**5/3 + 4176050*b**4 - 14739000*b**3 + 26010000*b**2 - 22950000*b + 8100000.
-(17*b - 30)**5/3
Find u such that u**2/2 - 13*u/2 - 7 = 0.
-1, 14
Let -3*g**4/5 + 9*g**3/5 + 9*g**2/5 - 33*g/5 + 18/5 = 0. Calculate g.
-2, 1, 3
Suppose -3*t**2/8 - 39*t/4 - 507/8 = 0. Calculate t.
-13
Find o, given that 4*o**2 + 1252*o - 3792 = 0.
-316, 3
Find w such that -2*w**4 + 48*w**3 - 86*w**2 - 48*w + 88 = 0.
-1, 1, 2, 22
Suppose 4*l**2/3 + 524*l/3 + 344 = 0. Calculate l.
-129, -2
Determine j, given that 6*j**4/11 + 50*j**3/11 + 46*j**2/11 - 74*j/11 - 28/11 = 0.
-7, -2, -1/3, 1
Factor 4*d**2 - 88*d + 484.
4*(d - 11)**2
Factor l**4 + 33*l**3 + 92*l**2 + 60*l.
l*(l + 1)*(l + 2)*(l + 30)
Solve 2*k**2 - 130*k = 0.
0, 65
Suppose -i**2/9 - 1385*i/9 + 154 = 0. What is i?
-1386, 1
Factor p**2/4 - 321*p/2 + 320.
(p - 640)*(p - 2)/4
Let -18*d**5/13 - 48*d**4/13 + 160*d**3/13 + 160*d**2/13 - 352*d/13 + 128/13 = 0. Calculate d.
-4, -2, 2/3, 2
Factor n**2 + 95*n + 276.
(n + 3)*(n + 92)
Find g such that g**3/3 + 71*g**2/3 + 98*g - 792 = 0.
-66, -9, 4
Find m such that 6*m**5/7 - 516*m**4/7 + 1014*m**3/7 - 72*m**2 = 0.
0, 1, 84
Factor -2*v**2/3 - 1028*v/3 - 132098/3.
-2*(v + 257)**2/3
Let 2*p**3/5 - 4676*p**2/5 + 9346*p/5 - 4672/5 = 0. What is p?
1, 2336
Factor h**4/5 + 44*h**3/5 + 619*h**2/5 + 2844*h/5 + 2268/5.
(h + 1)*(h + 7)*(h + 18)**2/5
Let 4*q**5/9 - 4*q**4 + 28*q**3/9 + 4*q**2 - 32*q/9 = 0. Calculate q.
-1, 0, 1, 8
Factor 4*m**3 + 392*m**2 + 772*m + 384.
4*(m + 1)**2*(m + 96)
Determine z, given that -z**5 + 16*z**3 - 38*z**2 + 33*z - 10 = 0.
-5, 1, 2
Factor -3*z**2/4 - 207*z - 825/4.
-3*(z + 1)*(z + 275)/4
Factor -2*m**4/3 + 22*m**3/3 - 12*m**2.
-2*m**2*(m - 9)*(m - 2)/3
Suppose -28*z**5/5 - 678*z**4/5 - 154*z**3 + 58*z**2 + 318*z/5 - 92/5 = 0. Calculate z.
-23, -1, 2/7, 1/2
Find g such that 8*g**5 + 80*g**4 + 290*g**3 + 470*g**2 + 350*g + 98 = 0.
-7/2, -1
Factor -2*r**2/13 - 174*r/13.
-2*r*(r + 87)/13
Factor -5*a**4 - 340*a**3 - 5780*a**2.
-5*a**2*(a + 34)**2
Let 2*u**2 + 4468*u + 2495378 = 0. What is u?
-1117
Factor s**2 + 102*s + 101.
(s + 1)*(s + 101)
Solve p**5 + 6*p**4 + 11*p**3 + 2*p**2 - 12*p - 8 = 0.
-2, -1, 1
Determine j so that 2*j**5 + 28*j**4 + 138*j**3 + 280*j**2 + 200*j = 0.
-5, -2, 0
Factor -w**5/3 - 47*w**4 - 1680*w**3 - 4900*w**2/3.
-w**2*(w + 1)*(w + 70)**2/3
Determine a, given that a**3/4 + 2*a**2 + 19*a/4 + 3 = 0.
-4, -3, -1
Factor 5*n**2 - 50*n.
5*n*(n - 10)
Factor 2*s**3 - 52*s**2/3 + 74*s/3 - 28/3.
2*(s - 7)*(s - 1)*(3*s - 2)/3
Determine y so that 72*y**3 + 552*y**2 + 770*y + 300 = 0.
-6, -5/6
Solve 3*a**3/5 + 1392*a**2/5 - 12*a/5 - 5568/5 = 0.
-464, -2, 2
Determine y so that 7*y**4 - 408*y**3 + 88*y**2 + 1632*y - 464 = 0.
-2, 2/7, 2, 58
What is i in i**5/6 + 185*i**4/6 + 364*i**3/3 + 362*i**2/3 = 0?
-181, -2, 0
Suppose 4*b**3/7 - 12*b**2/7 - 40*b = 0. Calculate b.
-7, 0, 10
Suppose -837*b**3 - 1557*b**2/2 