- w**4/5 - 6*w**3/5 + 4*w**2/5 + 8*w/5 = 0. What is w?
-2, -1, 0, 2
Solve 4*g**4 + 8*g**3 - 144*g**2 - 8*g + 140 = 0 for g.
-7, -1, 1, 5
Find g, given that -10*g**2/3 + 122*g/3 + 104/3 = 0.
-4/5, 13
Factor 3*u**4 + 57*u**3 + 237*u**2 - 297*u.
3*u*(u - 1)*(u + 9)*(u + 11)
Factor -d**2 - 480*d - 57600.
-(d + 240)**2
Determine u so that -3*u**5/4 + 1137*u**4/4 - 567*u**3/2 = 0.
0, 1, 378
Solve -4*p**3 - 24*p**2 - 44*p - 24 = 0 for p.
-3, -2, -1
Find b, given that -4*b**2 - 4080*b - 4076 = 0.
-1019, -1
Suppose q**2/10 - 33*q/10 + 27 = 0. What is q?
15, 18
Factor 3*i**3/4 - 687*i**2/4 - 1410*i - 2844.
3*(i - 237)*(i + 4)**2/4
Factor 5*g**3/2 + 55*g**2/2 - 30*g.
5*g*(g - 1)*(g + 12)/2
Factor c**3/3 + 12*c**2 - 37*c/3.
c*(c - 1)*(c + 37)/3
Factor 5*r**4 - 15*r**3 - 20*r**2.
5*r**2*(r - 4)*(r + 1)
Factor 3*u**2/5 + 732*u/5 + 729/5.
3*(u + 1)*(u + 243)/5
Determine y, given that 5*y**3/3 - 2090*y**2/3 + 4165*y/3 - 2080/3 = 0.
1, 416
What is y in -y**4/6 + y**3/2 + 8*y**2/3 + 2*y = 0?
-2, -1, 0, 6
Factor -d**2 - 116*d - 3364.
-(d + 58)**2
Determine k, given that -69*k**2 - 234*k = 0.
-78/23, 0
Factor -2*l**2/15 - 28*l/15 - 22/5.
-2*(l + 3)*(l + 11)/15
Factor 2*n**2 + 8740*n + 9548450.
2*(n + 2185)**2
Factor 2*z**3 + 6*z**2 - 2*z - 6.
2*(z - 1)*(z + 1)*(z + 3)
What is t in -4*t**3 - 120*t**2 - 908*t - 792 = 0?
-18, -11, -1
Find c such that -3*c**3 - 126*c**2 = 0.
-42, 0
Find n, given that 8*n**4 - 44*n**3 + 28*n**2 + 104*n - 96 = 0.
-3/2, 1, 2, 4
Solve 77763*y**2 - 18354*y + 1083 = 0 for y.
19/161
Factor 3*q**4 + 987*q**3 - 1983*q**2 + 993*q.
3*q*(q - 1)**2*(q + 331)
Let -5*y**5 + 125*y**4 - 1035*y**3 + 2755*y**2 + 1040*y - 2880 = 0. What is y?
-1, 1, 8, 9
Let -12*z**5 + 20*z**4 + 563*z**3/3 - 1114*z**2/3 - 139*z - 12 = 0. Calculate z.
-4, -1/6, 3
Determine x so that -x**2 + 185*x - 1074 = 0.
6, 179
Factor 2*c**2/7 + 44*c/7.
2*c*(c + 22)/7
Factor r**2 + 6*r - 16.
(r - 2)*(r + 8)
Factor -4*q**2 + 4*q + 8.
-4*(q - 2)*(q + 1)
Solve 84*r**4 - 256*r**3 - 304*r**2 - 64*r = 0.
-2/3, -2/7, 0, 4
Let -3*c**3 + 30*c**2 - 39*c - 72 = 0. Calculate c.
-1, 3, 8
Factor 3*w**2 + 48*w - 51.
3*(w - 1)*(w + 17)
Let -p**2 - 7*p + 8 = 0. Calculate p.
-8, 1
Find s, given that -3*s**3 + 371*s**2/3 - 1414*s/3 + 296/3 = 0.
2/9, 4, 37
Suppose -5*a**2 - 1780*a - 158420 = 0. What is a?
-178
Find k, given that 2*k**4 + 6*k**3 - 18*k**2 - 46*k - 24 = 0.
-4, -1, 3
Let u**2/8 + 27*u - 217/8 = 0. Calculate u.
-217, 1
Factor -p**4 + 16*p**3 - 8*p**2 - 640*p + 1200.
-(p - 10)**2*(p - 2)*(p + 6)
Find o, given that o**2/8 - 3*o/8 - 7/2 = 0.
-4, 7
Determine i, given that -2*i**4 + 753*i**3 - 376*i**2 = 0.
0, 1/2, 376
Factor 2*v**5/5 + 4*v**4 + 34*v**3/5 + 16*v**2/5.
2*v**2*(v + 1)**2*(v + 8)/5
Factor 5*c**2 + 55*c + 90.
5*(c + 2)*(c + 9)
Factor -m**2/2 + 401*m - 160801/2.
-(m - 401)**2/2
Solve -3*o**4 + 9*o**3 + 1020*o**2 - 7632*o - 8640 = 0 for o.
-20, -1, 12
Find b, given that -2*b**3/5 + 63*b**2/5 - 44*b = 0.
0, 4, 55/2
Suppose i**4/7 + 82*i**3/7 + 1752*i**2/7 + 2560*i/7 - 12800/7 = 0. What is i?
-40, -4, 2
Factor -2*l**3/15 - 20*l**2/3 - 250*l/3.
-2*l*(l + 25)**2/15
What is t in 6*t**4/7 - 44*t**3/7 - 94*t**2/7 + 36*t/7 = 0?
-2, 0, 1/3, 9
What is z in 4*z**5 + 16*z**4 + 20*z**3 + 8*z**2 = 0?
-2, -1, 0
Factor -u**2/3 + 11*u + 34/3.
-(u - 34)*(u + 1)/3
Factor 124*z**2 - 504*z + 32.
4*(z - 4)*(31*z - 2)
Factor -13*n**3 - 17*n**2 - 4*n.
-n*(n + 1)*(13*n + 4)
Let -a**4/2 - 10*a**3 - 57*a**2/2 + 61*a + 80 = 0. What is a?
-16, -5, -1, 2
Let 2*o**5 - 28*o**4 - 140*o**3 - 80*o**2 + 138*o + 108 = 0. Calculate o.
-3, -1, 1, 18
Solve 4*n**4 + 116*n**3 - 12*n**2 - 340*n + 232 = 0.
-29, -2, 1
Factor -5*l**2 + 1190*l - 70805.
-5*(l - 119)**2
Factor -b**3/5 + 12*b**2/5 + 604*b/5 + 1152/5.
-(b - 32)*(b + 2)*(b + 18)/5
Factor -2*k**3 - 60*k**2 - 262*k - 300.
-2*(k + 2)*(k + 3)*(k + 25)
Solve -c**4/2 + 7*c**3/2 + 12*c**2 - 90*c = 0.
-5, 0, 6
Factor -4*u**2/5 + 53*u + 1734/5.
-(u + 6)*(4*u - 289)/5
Factor 1058*g**2/11 - 184*g/11 + 8/11.
2*(23*g - 2)**2/11
Factor 2*b**5/3 - 8*b**3 - 32*b**2/3.
2*b**2*(b - 4)*(b + 2)**2/3
Determine q, given that q**4 - 64*q**3 = 0.
0, 64
Factor n**4/4 + 5*n**3/2 + 31*n**2/4 + 15*n/2.
n*(n + 2)*(n + 3)*(n + 5)/4
Factor 4*m**4/3 - 392*m**3/3 + 1924*m**2/3 + 125440*m + 1228800.
4*(m - 64)**2*(m + 15)**2/3
Factor -5*l**3 + 75*l**2 - 70*l.
-5*l*(l - 14)*(l - 1)
Factor j**4/7 + 121*j**3/7 + 3720*j**2/7 + 3600*j/7.
j*(j + 1)*(j + 60)**2/7
Factor -n**4/5 - 8*n**3/5 + 43*n**2/5 - 58*n/5 + 24/5.
-(n - 2)*(n - 1)**2*(n + 12)/5
Factor 3*x**3/4 - 27*x**2/4 + 69*x/4 - 45/4.
3*(x - 5)*(x - 3)*(x - 1)/4
Let -5*m**2 + 21900*m - 23980500 = 0. What is m?
2190
Factor 4*m**5 - 324*m**3.
4*m**3*(m - 9)*(m + 9)
Factor -10*f**2/7 + 2054*f/7 - 820/7.
-2*(f - 205)*(5*f - 2)/7
Find a, given that a**2/5 + 3398*a/5 + 3397/5 = 0.
-3397, -1
Find h, given that h**3 - 26*h**2 - 85*h - 58 = 0.
-2, -1, 29
Factor v**2/2 + 7*v - 16.
(v - 2)*(v + 16)/2
Find r such that 4*r**3 - 768*r - 4096 = 0.
-8, 16
Factor 2*y**2 + 1812*y + 410418.
2*(y + 453)**2
Factor -2*l**2/11 - 6*l + 68/11.
-2*(l - 1)*(l + 34)/11
Factor -w**3 - 1762*w**2 - 3521*w - 1760.
-(w + 1)**2*(w + 1760)
Suppose 12*j**2 - 1132*j + 376 = 0. Calculate j.
1/3, 94
Let 28*x**5/5 + 76*x**4/5 + 32*x**3/5 - 16*x**2/5 = 0. What is x?
-2, -1, 0, 2/7
Suppose 3*z**2 - 15*z - 18 = 0. What is z?
-1, 6
Find c, given that -2*c**2/3 - 42*c = 0.
-63, 0
Solve -c**5/4 + 31*c**4/4 - 239*c**3/4 + 641*c**2/4 - 171*c + 63 = 0 for c.
1, 2, 6, 21
Factor a**5/8 + 115*a**4/4 - 465*a**3/4 + 175*a**2 - 935*a/8 + 117/4.
(a - 1)**4*(a + 234)/8
Factor -4*d**2/3 - 1180*d/3.
-4*d*(d + 295)/3
Let 121*a**5 + 2739*a**4 + 16174*a**3 + 8364*a**2 - 4712*a + 480 = 0. Calculate a.
-12, -10, -1, 2/11
Find u, given that u**5/3 + 40*u**4/3 - u**3 - 122*u**2/3 - 80*u/3 = 0.
-40, -1, 0, 2
Find g, given that -g**4 + 25*g**3 - 123*g**2 + 175*g - 76 = 0.
1, 4, 19
Find i, given that 4*i**3 + 276*i**2 - 280*i = 0.
-70, 0, 1
Factor -3*d**4 - 51*d**3 - 240*d**2 - 192*d.
-3*d*(d + 1)*(d + 8)**2
Solve 9*f**2 - 93*f + 150 = 0 for f.
2, 25/3
Let 5*n**3 + 773*n**2 + 30107*n + 17787 = 0. What is n?
-77, -3/5
Find p, given that 2*p**2 + 856*p + 91592 = 0.
-214
Factor -o**2 + 6*o + 216.
-(o - 18)*(o + 12)
Find r, given that 12*r**2 - 20*r - 312 = 0.
-13/3, 6
Factor -2*m**3 - 3*m**2 + 11*m + 6.
-(m - 2)*(m + 3)*(2*m + 1)
Factor 5*b**2 + 55*b - 210.
5*(b - 3)*(b + 14)
Find q such that -355*q**2 - 5*q = 0.
-1/71, 0
Determine d, given that d**2/6 - 14*d/3 + 9/2 = 0.
1, 27
Factor d**4 - 4*d**2.
d**2*(d - 2)*(d + 2)
Factor r**4/2 - 2*r**3 - 55*r**2/2 - 25*r.
r*(r - 10)*(r + 1)*(r + 5)/2
Find m such that -45*m**2/2 + 43*m/2 + 1 = 0.
-2/45, 1
Determine l so that 4*l**3/5 - 32*l**2 + 1428*l/5 + 3528/5 = 0.
-2, 21
Let -l**3/6 + 13*l**2/6 + 10*l/3 - 14 = 0. What is l?
-3, 2, 14
Determine b so that -b**5/3 - 5*b**4/6 + 2*b**3/3 + 19*b**2/6 + 8*b/3 + 2/3 = 0.
-2, -1, -1/2, 2
Factor 52*w**3/3 + 320*w**2/9 - 452*w/9 - 8/3.
4*(w - 1)*(w + 3)*(39*w + 2)/9
Solve 5*f**3 + 1100*f**2 + 62640*f + 233280 = 0 for f.
-108, -4
Find j such that -3*j**4 - 65*j**3 + 30*j**2 + 180*j + 88 = 0.
-22, -1, -2/3, 2
What is i in -54*i**3/19 - 58*i**2/19 - 4*i/19 = 0?
-1, -2/27, 0
Suppose g**4/2 + 6*g**3 + 43*g**2/2 + 12*g - 40 = 0. Calculate g.
-5, -4, 1
Suppose 2*l**2 + 104*l + 102 = 0. Calculate l.
-51, -1
Solve -5*o**3 + 160*o**2 + 705*o + 540 = 0.
-3, -1, 36
Factor -3*z**3 + 201*z**2 - 198*z.
-3*z*(z - 66)*(z - 1)
Solve 2*i**3/11 - 10*i**2/11 - 14*i + 882/11 = 0 for i.
-9, 7
Let j**4/2 + 138*j**3 + 549*j**2/2 + 137*j = 0. What is j?
-274, -1, 0
Factor -66*t**3 - 1449*t**2 + 66*t.
-3*t*(t + 22)*(22*t - 1)
Solve -7*t**5/3 + 128*t**4/3 - 103*t**3 - 608*t**2/3 + 1036*t/3 - 80 = 0 for t.
-2, 2/7, 1, 4, 15
What is y in 6*y**5 - 4*y**4 - 52*y**3 - 8*y**2 + 94*y + 60 = 0?
-2, -1, 5/3, 3
Determine f, given that -3*f**3 - 24*f**2 - 21*f = 0.
-7, -1, 0
Factor -2*z**3/3 + 4*z**2/3 + 182*z/3 + 176/3.
-2*(z - 11)*(z + 1)*(z + 8)/3
Factor 4900*x**4 + 20160*x**3 + 21856*x**2 + 2304*x + 64.
4*(x + 2)**2*(35*x + 2)**2
What is f in -180*f**5 + 652*f**4 - 712*f**3 + 272*f**2 - 32*f = 0?
0, 2/9, 2/5, 1, 2
Factor -t**2/3 - 111*t - 1640/3.
-(t + 5)*(t + 328)/3
Solve 2*w**4/15 + 14*w**3/15 + 6*w**2/5 - 14*w/15 - 4/3 = 0 for w.
-5, -2, -1, 1
Suppose 5*m**5 - 14*m**