**2 + 141*q - 180 = 0.
12/7, 5
Factor 2*p**2/9 + 44*p/9 - 242/3.
2*(p - 11)*(p + 33)/9
Factor 16*m**2 - 85*m + 25.
(m - 5)*(16*m - 5)
Determine q so that 2*q**5 - 24*q**4 + 96*q**3 - 160*q**2 + 96*q = 0.
0, 2, 6
Factor 4*y**3 + 148*y**2 + 544*y + 528.
4*(y + 2)**2*(y + 33)
Factor 2*i**3/15 - 2*i**2/3 + 4*i/15 + 16/15.
2*(i - 4)*(i - 2)*(i + 1)/15
Find m, given that -3*m**2 + 4602*m - 4599 = 0.
1, 1533
Solve -27*q**4 + 342*q**3 + 1356*q**2 + 1320*q + 384 = 0.
-2, -2/3, 16
Solve -4*t**2 - 2680*t + 5376 = 0 for t.
-672, 2
What is b in 3*b**4 - 72*b**3 + 135*b**2 - 66*b = 0?
0, 1, 22
Let 4*q**2 + 1792*q + 200704 = 0. Calculate q.
-224
Solve -3*j**2 + 6780*j - 3830700 = 0 for j.
1130
Let 3*u**2 + 111*u = 0. What is u?
-37, 0
Determine f so that 3*f**3 + 912*f**2 - 1845*f - 2754 = 0.
-306, -1, 3
What is i in i**4/4 + i**3 + i**2 = 0?
-2, 0
Factor -42632*l**2/7 - 584*l/7 - 2/7.
-2*(146*l + 1)**2/7
Factor j**4/5 - 13*j**3/5 - 46*j**2/5 - 32*j/5.
j*(j - 16)*(j + 1)*(j + 2)/5
Factor -2*x**5/7 + 450*x**4/7 - 1338*x**3/7 + 1334*x**2/7 - 444*x/7.
-2*x*(x - 222)*(x - 1)**3/7
Solve 2*d**2/3 + 22*d/3 = 0.
-11, 0
Let k**5/4 + 61*k**4/2 + 3595*k**3/4 - 3905*k**2/2 - 899*k + 1922 = 0. Calculate k.
-62, -1, 1, 2
Suppose 3*v**5 - 12*v**3 - 6*v**2 + 9*v + 6 = 0. Calculate v.
-1, 1, 2
Find g, given that -3*g**4 - 21*g**3 + 42*g**2 + 144*g = 0.
-8, -2, 0, 3
Factor 3*a**4/5 - 84*a**3/5 + 156*a**2/5.
3*a**2*(a - 26)*(a - 2)/5
Find a such that -a**5/8 + 3*a**4/2 + a**3/8 - 3*a**2/2 = 0.
-1, 0, 1, 12
Factor -4*f**2 + 87*f + 115.
-(f - 23)*(4*f + 5)
Factor l**2/5 + 448*l/5 + 50176/5.
(l + 224)**2/5
What is u in 2*u**5/3 - 10*u**4/3 + 4*u**3 = 0?
0, 2, 3
Factor -3*g**2/2 - 165*g/2.
-3*g*(g + 55)/2
Suppose -v**5/2 - 6*v**4 + 303*v**3/2 - 751*v**2 + 1074*v - 468 = 0. Calculate v.
-26, 1, 6
Suppose -2*b**2 - 88*b + 90 = 0. What is b?
-45, 1
Find i such that -2*i**4 + 276*i**3 - 4536*i**2 + 26352*i - 51840 = 0.
6, 120
Solve 2*y**4/3 + 44*y**3/3 + 250*y**2/3 + 376*y/3 + 56 = 0.
-14, -6, -1
Let q**2/2 + 317*q/2 + 626 = 0. Calculate q.
-313, -4
Let 27*c**5 + 693*c**4 + 309*c**3 - 3393*c**2 + 3264*c - 900 = 0. Calculate c.
-25, -3, 2/3, 1
What is h in -2829124*h**5/3 + 1073116*h**4 - 410408*h**3/3 + 20648*h**2/3 - 156*h + 4/3 = 0?
1/29, 1
Factor 4*x**2 - 184*x.
4*x*(x - 46)
Factor 49*v**5 + 448*v**4 - 411*v**3 + 90*v**2.
v**2*(v + 10)*(7*v - 3)**2
Suppose 5*b**5 + 45*b**4 + 130*b**3 + 90*b**2 - 135*b - 135 = 0. What is b?
-3, -1, 1
Solve 5*j**4/4 + 20*j**3 - 135*j**2/2 + 70*j - 95/4 = 0.
-19, 1
Factor -18*y**2 - 32*y + 8.
-2*(y + 2)*(9*y - 2)
Determine t, given that 2*t**3 + 228*t**2 + 8664*t + 109744 = 0.
-38
Find z, given that 2*z**4 + 6*z**3 - 176*z**2 - 264*z + 4032 = 0.
-8, -7, 6
Determine k so that 2*k**3 + 26*k**2 + 80*k = 0.
-8, -5, 0
Factor 4*f**2/15 - 1594*f/15 + 796/15.
2*(f - 398)*(2*f - 1)/15
Suppose -3*t**4/8 - 9*t**3/8 + 27*t**2/8 + 81*t/8 = 0. What is t?
-3, 0, 3
Solve -2*k**3/5 - 28*k**2/5 + 702*k/5 = 0 for k.
-27, 0, 13
Suppose -2*a**4 - 396*a**3 - 1560*a**2 - 1552*a = 0. Calculate a.
-194, -2, 0
Factor 2*p**3 - 230*p**2 - 704*p - 472.
2*(p - 118)*(p + 1)*(p + 2)
Let -4*z**3/7 + 4*z**2 - 40*z/7 = 0. What is z?
0, 2, 5
What is r in 78*r**4 - 309*r**3 + 300*r**2 + 12*r = 0?
-1/26, 0, 2
Factor 3*f**3/4 + 3*f**2/4 - 3*f/4 - 3/4.
3*(f - 1)*(f + 1)**2/4
Determine s, given that s**3/2 + 18*s**2 + 285*s/2 - 361 = 0.
-19, 2
Let 2*p**3/7 + 22*p**2/7 - 50*p/7 + 26/7 = 0. What is p?
-13, 1
Factor -5*z**3 + 1205*z**2 - 2395*z + 1195.
-5*(z - 239)*(z - 1)**2
Find c such that -2*c**4/7 - 3396*c**3/7 - 1444994*c**2/7 - 2879808*c/7 - 1438208/7 = 0.
-848, -1
Solve f**5/4 + 59*f**4/2 + 425*f**3/2 - 817*f**2 + 3509*f/4 - 605/2 = 0.
-110, -11, 1
Find s such that -3*s**5 + 111*s**4 + 612*s**3 + 768*s**2 - 480*s - 1008 = 0.
-2, 1, 42
Solve 2*c**4/3 + 8*c**3/3 + 8*c**2/3 = 0.
-2, 0
What is t in -32*t**4/11 - 4816*t**3/11 - 2386*t**2/11 + 2098*t/11 - 300/11 = 0?
-150, -1, 1/4
Let -4*g**2/3 + 4*g/3 + 8/3 = 0. Calculate g.
-1, 2
Factor 4*z**2 + 18048*z + 20358144.
4*(z + 2256)**2
Let -2*r**4/7 - 540*r**3/7 + 542*r**2/7 = 0. What is r?
-271, 0, 1
Determine t so that 3*t**3 + 420*t**2 + 14700*t = 0.
-70, 0
Let 3*d**5/8 - 3*d**4/8 - 3*d**3/2 + 3*d**2/2 = 0. Calculate d.
-2, 0, 1, 2
Find r such that 6*r**4 - 89*r**3/6 + 6*r**2 - 2*r/3 = 0.
0, 2/9, 1/4, 2
Find q such that 2*q**3 - 8*q**2/7 - 90*q/7 - 36/7 = 0.
-2, -3/7, 3
Factor 5*n**4/3 + 262*n**3/3 + 359*n**2/3 + 34*n.
n*(n + 1)*(n + 51)*(5*n + 2)/3
Factor 2*o**2/7 - 780*o/7 - 2358/7.
2*(o - 393)*(o + 3)/7
Suppose 6*i**5 + 118*i**4 + 590*i**3 + 930*i**2 + 244*i - 208 = 0. Calculate i.
-13, -4, -2, -1, 1/3
Determine x so that x**5/4 + x**4/2 - 3*x**3/4 - x**2 + x = 0.
-2, 0, 1
Factor -2*h**5/5 - 256*h**4/5 - 1488*h**3/5 - 2944*h**2/5 - 1952*h/5.
-2*h*(h + 2)**3*(h + 122)/5
Find i such that 2*i**5/11 + 2*i**4/11 - 14*i**3/11 - 26*i**2/11 - 12*i/11 = 0.
-2, -1, 0, 3
Find r, given that -12*r**3 + 243*r**2 + 468*r - 132 = 0.
-2, 1/4, 22
Determine p so that 55*p**5/2 + 625*p**4/4 + 1065*p**3/4 + 95*p**2/2 - 205*p - 90 = 0.
-2, -1/2, 9/11
Determine h, given that -3*h**2/5 - 24*h/5 - 9 = 0.
-5, -3
Determine l so that -5*l**3/3 + 2885*l**2/3 + 5785*l/3 + 965 = 0.
-1, 579
Let 2*b**4/15 - 14*b**2/15 - 4*b/5 = 0. Calculate b.
-2, -1, 0, 3
Let 27*z**4 + 900*z**3 + 8346*z**2 + 14100*z + 6627 = 0. What is z?
-47/3, -1
Factor -2*g**3/7 + 32*g**2/7 - 160*g/7 + 256/7.
-2*(g - 8)*(g - 4)**2/7
Factor -k**3 + 39*k**2 - 270*k.
-k*(k - 30)*(k - 9)
Solve 5*s**2 - 10645*s + 10640 = 0 for s.
1, 2128
Find g, given that 3*g**5 - 276*g**4 = 0.
0, 92
What is m in 2*m**4 + 14*m**3 + 18*m**2 - 14*m - 20 = 0?
-5, -2, -1, 1
Factor 5*x**2 + 65*x + 210.
5*(x + 6)*(x + 7)
Find m such that -5*m**3/2 + 8635*m**2 = 0.
0, 3454
Determine z, given that -6*z**3 - 682*z**2 - 450*z + 226 = 0.
-113, -1, 1/3
Factor i**4/2 - 10*i**3 + 18*i**2.
i**2*(i - 18)*(i - 2)/2
Determine a so that -4*a**5/7 - 4*a**4 - 60*a**3/7 - 36*a**2/7 = 0.
-3, -1, 0
Factor 2*q**2 - 50*q + 48.
2*(q - 24)*(q - 1)
Suppose i**3 - 8*i**2 - 20*i = 0. Calculate i.
-2, 0, 10
Factor -3*y**3/2 - 135*y**2/2 + 222*y + 288.
-3*(y - 4)*(y + 1)*(y + 48)/2
Factor -2*d**2/9 + 2*d/3 - 4/9.
-2*(d - 2)*(d - 1)/9
Determine w so that 3*w**2 - 1710*w + 243675 = 0.
285
Suppose j**3/3 - 35*j**2/3 - 12*j = 0. What is j?
-1, 0, 36
Factor 3*r**3/2 - 267*r**2/2 + 1509*r/2 - 1245/2.
3*(r - 83)*(r - 5)*(r - 1)/2
Suppose 3*b**4 + 240*b**3 - 243*b**2 = 0. What is b?
-81, 0, 1
Factor -u**2/4 + 199*u/4.
-u*(u - 199)/4
What is i in -3*i**5 + 60*i**4 - 150*i**3 - 60*i**2 + 153*i = 0?
-1, 0, 1, 3, 17
Determine b, given that -b**3/9 + 286*b**2/9 - 569*b/9 + 284/9 = 0.
1, 284
Suppose -2*x**2 - 10*x + 12 = 0. What is x?
-6, 1
Suppose 2*t**2 + 1212*t + 183618 = 0. What is t?
-303
Factor -c**4/4 + 11*c**3/2 + 31*c**2/4 - 43*c - 69.
-(c - 23)*(c - 3)*(c + 2)**2/4
Determine p, given that -3*p**3 - 4260*p**2 - 1512300*p = 0.
-710, 0
Let -2*l**3/13 + 136*l**2/13 - 762*l/13 + 1116/13 = 0. Calculate l.
3, 62
Factor 27*y**2 + 168*y + 36.
3*(y + 6)*(9*y + 2)
Factor -19*k**3 + 47*k**2 + 30*k.
-k*(k - 3)*(19*k + 10)
Factor 4*s**4 - 20*s**3 - 87*s**2 - 70*s - 16.
(s - 8)*(s + 2)*(2*s + 1)**2
What is f in -f**4/5 - 37*f**3/5 - 462*f**2/5 - 2156*f/5 - 2744/5 = 0?
-14, -7, -2
Suppose y**5 + 140*y**4 + 7840*y**3 + 219520*y**2 + 3073280*y + 17210368 = 0. What is y?
-28
Factor 5*x**3 + 5*x**2 - 300*x + 540.
5*(x - 6)*(x - 2)*(x + 9)
Factor c**5/5 - 3*c**4 + 39*c**3/5 - 37*c**2/5 + 12*c/5.
c*(c - 12)*(c - 1)**3/5
Factor 14*k**3 + 60*k**2 + 72*k + 16.
2*(k + 2)**2*(7*k + 2)
Factor -4*o**4 - 18*o**3 + 4*o**2 + 18*o.
-2*o*(o - 1)*(o + 1)*(2*o + 9)
Suppose 5*x**3 - 80*x**2 + 205*x - 130 = 0. What is x?
1, 2, 13
Determine u, given that 2*u**4 - 68*u**3 - 72*u**2 + 68*u + 70 = 0.
-1, 1, 35
Factor -t**5/3 + 34*t**4/3 - 298*t**3/3 + 372*t**2 - 639*t + 414.
-(t - 23)*(t - 3)**3*(t - 2)/3
Solve -m**5/3 - m**4/3 + 7*m**3/3 + m**2/3 - 2*m = 0.
-3, -1, 0, 1, 2
Factor b**2 + 50*b - 159.
(b - 3)*(b + 53)
Determine i, given that 5*i**4 + 50*i**3 - 115*i**2 - 1200*i + 2880 = 0.
-8, 3
Factor 3*v**5 - 345*v**4 + 10725*v**3 - 45375*v**2.
3*v**2*(v - 55)**2*(v - 5)
Factor -2*s**2 - 148*s - 1280.
-2*(s + 10)*(s + 64)
Let 2*a**3/5 - 12*a**2/5 + 64/5 = 0. What is a?
-2, 4
Suppose 5*w**3 + 35