(p - 1)
Determine a so that 8*a**3 + 52*a**2 - 104*a - 64 = 0.
-8, -1/2, 2
Factor -5*r**3 + 28*r**2 + 15*r - 18.
-(r - 6)*(r + 1)*(5*r - 3)
Let -50*n**4 - 1105*n**3 - 6160*n**2 - 605*n = 0. Calculate n.
-11, -1/10, 0
Let 67*i**2/5 + 333*i/5 - 2 = 0. Calculate i.
-5, 2/67
Let -s**5/3 - s**4/6 + s**3/3 + s**2/6 = 0. What is s?
-1, -1/2, 0, 1
Factor -2*h**2/9 - 52*h/9 - 80/3.
-2*(h + 6)*(h + 20)/9
Solve -2*w**2/9 + 262*w/9 + 268/3 = 0.
-3, 134
Solve i**4 - 8*i**3 + 128*i - 256 = 0 for i.
-4, 4
Let 6*h**5 + 82*h**4/3 + 376*h**3/9 + 24*h**2 + 32*h/9 = 0. What is h?
-2, -4/3, -1, -2/9, 0
Determine m, given that 3*m**5 - 144*m**4 + 1401*m**3 + 8256*m**2 - 1404*m - 8112 = 0.
-4, -1, 1, 26
Find z, given that -2*z**5/13 - 4*z**4/13 + 6*z**3/13 = 0.
-3, 0, 1
Determine g so that 4*g**5 - 896*g**4 + 49216*g**3 + 113944*g**2 - 673028*g + 510760 = 0.
-5, 1, 2, 113
Factor -20*h**3 + 4105*h**2 + 7255*h - 2070.
-5*(h - 207)*(h + 2)*(4*h - 1)
Let -4*z**5 + 184*z**3 - 576*z**2 + 108*z + 864 = 0. Calculate z.
-8, -1, 3
Find q, given that 3*q**5/2 + 27*q**4/2 + 63*q**3/2 - 3*q**2/2 - 45*q = 0.
-5, -3, -2, 0, 1
Factor 5*p**3 - 27*p**2 + 39*p - 17.
(p - 1)**2*(5*p - 17)
What is z in 5*z**2 + 65*z = 0?
-13, 0
Solve 4*w**5/7 - 4*w**4 - 16*w**3/7 + 64*w**2 - 768*w/7 = 0.
-4, 0, 3, 4
Factor 2*t**4 + 110*t**3 + 1800*t**2 + 4000*t - 80000.
2*(t - 5)*(t + 20)**3
Factor -15*y**3 + 110*y**2 - 255*y + 180.
-5*(y - 3)**2*(3*y - 4)
Factor 4*i**5 + 16*i**4 - 48*i**3 + 8*i**2 + 44*i - 24.
4*(i - 1)**3*(i + 1)*(i + 6)
Factor 5*x**3 + 95*x**2 + 80*x - 180.
5*(x - 1)*(x + 2)*(x + 18)
Factor -c**4/4 - 11*c**3/4 + 7*c**2/2 + 6*c.
-c*(c - 2)*(c + 1)*(c + 12)/4
Factor 2*n**4/5 - 8*n**3 + 284*n**2/5 - 168*n + 882/5.
2*(n - 7)**2*(n - 3)**2/5
Factor 2*y**2/3 - 1354*y/3 + 900.
2*(y - 675)*(y - 2)/3
Factor 3*o**2 + 192*o + 189.
3*(o + 1)*(o + 63)
Suppose -i**5 + i**4 + 25*i**3 - 37*i**2 - 60*i = 0. Calculate i.
-5, -1, 0, 3, 4
Solve -a**5 + 9*a**4 - 11*a**3 - 61*a**2 + 60*a + 100 = 0 for a.
-2, -1, 2, 5
Determine w, given that w**4 - 19*w**3 + 99*w**2 - 189*w + 108 = 0.
1, 3, 12
Factor -s**5 - 7*s**4 - 4*s**3 + 12*s**2.
-s**2*(s - 1)*(s + 2)*(s + 6)
Factor 2*z**2/11 + 12*z/11 - 630/11.
2*(z - 15)*(z + 21)/11
What is n in 7*n**4 + 37*n**3 - 382*n**2 - 532*n - 120 = 0?
-10, -1, -2/7, 6
Solve -4*t**3/7 + 16*t**2/7 + 4*t - 40/7 = 0.
-2, 1, 5
Suppose 5*l**3 + 45*l**2 - 60*l - 100 = 0. What is l?
-10, -1, 2
Factor -2*g**2/9 + 454*g/9 - 448/3.
-2*(g - 224)*(g - 3)/9
Determine m so that -m**2/2 + 187*m/2 - 276 = 0.
3, 184
Determine r, given that -r**2/4 + 93*r/4 + 515/2 = 0.
-10, 103
Factor -15*t**4/2 + 51*t**3/4 + 9*t**2/2.
-3*t**2*(t - 2)*(10*t + 3)/4
Factor 2*u**2/7 + 704*u/7 - 706/7.
2*(u - 1)*(u + 353)/7
Factor 2*l**3 - 26*l**2 - 32*l + 56.
2*(l - 14)*(l - 1)*(l + 2)
Factor q**4 + 24*q**3 - 108*q**2 + 112*q.
q*(q - 2)**2*(q + 28)
Factor 2*q**4 - 4*q**3 - 30*q**2 + 64*q - 32.
2*(q - 4)*(q - 1)**2*(q + 4)
Factor -2*p**4/3 + 80*p**3/3 + 166*p**2/3 + 28*p.
-2*p*(p - 42)*(p + 1)**2/3
Factor -v**5 - 95*v**4 + 96*v**3.
-v**3*(v - 1)*(v + 96)
Factor -9*y**3/8 - 255*y**2 - 116277*y/8 - 38307/4.
-3*(y + 113)**2*(3*y + 2)/8
Let m**4 + 7*m**3 + 15*m**2 + 9*m = 0. What is m?
-3, -1, 0
Factor -5*v**5 - 80*v**4 - 210*v**3 - 200*v**2 - 65*v.
-5*v*(v + 1)**3*(v + 13)
Find h such that 4*h**2 - 332*h + 1264 = 0.
4, 79
Factor -5*u**3 - 5*u**2 + 70*u + 120.
-5*(u - 4)*(u + 2)*(u + 3)
Determine k so that -2*k**2/3 + 4*k + 14/3 = 0.
-1, 7
Factor -q**2/9 - 131*q/9 + 44/3.
-(q - 1)*(q + 132)/9
Factor l**5/8 - l**4 + 21*l**3/8 - 7*l**2/4 - 5*l/2 + 3.
(l - 3)*(l - 2)**3*(l + 1)/8
Solve 198*o**4 + 994*o**3 + 1208*o**2 + 24*o = 0 for o.
-3, -2, -2/99, 0
Let -4*b**3 + 16952*b**2 - 17960644*b = 0. Calculate b.
0, 2119
Factor q**4/4 + q**3/4.
q**3*(q + 1)/4
Find b, given that -b**2 + 60*b + 189 = 0.
-3, 63
Let -2*s**4/5 - 14*s**3/5 + 78*s**2/5 + 406*s/5 - 196 = 0. What is s?
-7, 2, 5
Factor 2*u**3 - 10*u**2 + 14*u - 6.
2*(u - 3)*(u - 1)**2
Determine n so that n**2 - 49*n + 48 = 0.
1, 48
Factor u**4/2 + 35*u**3/2 - 9*u**2/2 - 315*u/2.
u*(u - 3)*(u + 3)*(u + 35)/2
Let 3*h**3 + 90*h**2 + 171*h + 84 = 0. Calculate h.
-28, -1
Let 2*j**5/9 + 194*j**4/9 + 4198*j**3/9 - 24386*j**2/9 + 13600*j/3 - 2312 = 0. Calculate j.
-51, 1, 2
Let 5*a**4 - 155*a**3 - 350*a**2 + 620*a + 1320 = 0. What is a?
-2, 2, 33
Factor 18*d**2 + 266*d - 60.
2*(d + 15)*(9*d - 2)
Suppose 3*p**2 + 7896*p + 7893 = 0. What is p?
-2631, -1
Factor 3*o**3 - 60*o**2 - 63*o.
3*o*(o - 21)*(o + 1)
Suppose -27*z**4 + 153*z**3 + 2589*z**2 + 7491*z + 5082 = 0. Calculate z.
-11/3, -1, 14
Determine p, given that -2*p**5 + 8*p**4 + 2*p**3 - 8*p**2 = 0.
-1, 0, 1, 4
Determine a, given that -2*a**5/7 - 20*a**4/7 + 4*a**3 + 8*a**2 - 106*a/7 + 44/7 = 0.
-11, -2, 1
What is d in d**4/4 - 4*d**3 + 21*d**2 - 36*d = 0?
0, 4, 6
Factor -2*s**3 - 98*s**2 + 210*s + 306.
-2*(s - 3)*(s + 1)*(s + 51)
Suppose -4*d**4 + 224*d**3 - 2236*d**2 = 0. What is d?
0, 13, 43
Determine y so that 64*y**4 - 1056*y**3 + 2148*y**2 + 1276*y + 168 = 0.
-1/4, 3, 14
Factor -3*g**4 + 27*g**3 - 60*g**2 + 36*g.
-3*g*(g - 6)*(g - 2)*(g - 1)
Solve -j**5/4 - 5*j**4/2 - 8*j**3 - 8*j**2 = 0.
-4, -2, 0
Solve 15*f**5 - 64*f**4 + 46*f**3 + 52*f**2 - 61*f + 12 = 0 for f.
-1, 4/15, 1, 3
Factor 2*t**4/15 - 944*t**3/3 + 278480*t**2 - 328606400*t/3 + 48469444000/3.
2*(t - 590)**4/15
Factor 12*x**3 + 308*x**2 - 776*x + 224.
4*(x - 2)*(x + 28)*(3*x - 1)
Factor -24500*f**3 + 169400*f**2 + 14655*f + 315.
-5*(f - 7)*(70*f + 3)**2
Let 4*b**2/9 + 92*b/9 - 32/3 = 0. What is b?
-24, 1
What is u in -u**5/6 - 5*u**4/2 + 71*u**3/6 - 31*u**2/2 + 19*u/3 = 0?
-19, 0, 1, 2
Solve g**5/4 + 3*g**4 + 11*g**3/2 - 21*g**2 + 49*g/4 = 0 for g.
-7, 0, 1
Factor 2*v**3/9 - 188*v**2/9 - 382*v/9 - 64/3.
2*(v - 96)*(v + 1)**2/9
Suppose -f**2/3 - 1531*f/3 - 510 = 0. What is f?
-1530, -1
Solve -4*f**2 + 180*f + 184 = 0.
-1, 46
Factor 4*a**4 + 540*a**3 + 24816*a**2 + 410432*a + 1022208.
4*(a + 3)*(a + 44)**3
Factor -18*a**5/5 - 156*a**4/5 - 506*a**3/5 - 728*a**2/5 - 392*a/5.
-2*a*(a + 2)**2*(3*a + 7)**2/5
Factor 2*z**3/17 - 10*z**2/17 + 12*z/17.
2*z*(z - 3)*(z - 2)/17
Let x**2/2 - 14*x = 0. Calculate x.
0, 28
Suppose 4*r**5 - 284*r**4 + 1080*r**3 - 520*r**2 - 1084*r + 804 = 0. What is r?
-1, 1, 3, 67
Factor a**4 - 21*a**3 - 116*a**2 + 336*a + 1600.
(a - 25)*(a - 4)*(a + 4)**2
Factor 44*a**3/5 + 116*a**2/5 - 224*a/5 + 64/5.
4*(a - 1)*(a + 4)*(11*a - 4)/5
Find d, given that -4*d**5 - 23*d**4 + 74*d**3 + 7*d**2 - 70*d + 16 = 0.
-8, -1, 1/4, 1, 2
Factor -a**2 - 8*a - 16.
-(a + 4)**2
Factor -4*t**3 - 162*t**2 + 166*t.
-2*t*(t - 1)*(2*t + 83)
Factor -3*z**3/5 - 42*z**2/5 + 93*z/5 - 48/5.
-3*(z - 1)**2*(z + 16)/5
Suppose 2*q**5/7 + 4*q**4/7 - 24*q**3/7 + 4*q**2 - 10*q/7 = 0. What is q?
-5, 0, 1
Factor 5*r**3/4 + 63*r**2/4 + 11*r/2 - 42.
(r + 2)*(r + 12)*(5*r - 7)/4
Factor 2*h**4/7 - 34*h**3/7 + 144*h**2/7.
2*h**2*(h - 9)*(h - 8)/7
Find b, given that 2*b**2/13 - 148*b/13 + 288/13 = 0.
2, 72
Find k such that -k**2/6 - 3*k/2 - 10/3 = 0.
-5, -4
Factor 4*j**2 - 12*j - 72.
4*(j - 6)*(j + 3)
Factor 3*h**3/7 + 45*h**2/7 + 216*h/7 + 48.
3*(h + 4)**2*(h + 7)/7
Factor -3*d**4 - 39*d**3 - 90*d**2.
-3*d**2*(d + 3)*(d + 10)
Factor 200*u**3 + 19240*u**2 + 3842*u + 192.
2*(u + 96)*(10*u + 1)**2
Solve 3*q**2 + 294*q = 0 for q.
-98, 0
Factor 360*d**3 + 1804*d**2 + 2180*d + 24.
4*(d + 2)*(d + 3)*(90*d + 1)
Suppose 4*w**5/7 - 44*w**4/7 - 55*w**3/7 + 86*w**2/7 - 24*w/7 = 0. What is w?
-2, 0, 1/2, 12
Determine h so that -2*h**3/5 + 624*h**2 + 6246*h/5 + 3124/5 = 0.
-1, 1562
Solve 3*x**5 + 27*x**4 - 39*x**3 - 87*x**2 + 36*x + 60 = 0 for x.
-10, -1, 1, 2
Factor m**3 + 7*m**2 - 33*m - 135.
(m - 5)*(m + 3)*(m + 9)
Factor -2*d**3/3 - 8*d**2/3 + 8*d.
-2*d*(d - 2)*(d + 6)/3
Factor w**3/5 - 8*w**2/5 - 19*w/5 - 2.
(w - 10)*(w + 1)**2/5
Find g such that -g**2/9 - 10070*g/9 - 25351225/9 = 0.
-5035
Let o**4/3 - 277*o**3/3 + 19043*o**2/3 + 19321*o/3 = 0. What is o?
-1, 0, 139
Factor -t**4 + 403*t**3 - 2394*t**2 + 4772*t - 3176.
-(t - 397)*(t - 2)**3
Factor -2*s**3 + 50*s**2 + 108*s.
-2*s*(s - 27)*(s + 2)
Factor 3*o**3 - 8130*o**2 + 5508075*o.
3*o*(o - 1355)**2
Solve 8*v**5 + 122*v**4/7 - 514*v**3/7 - 232*v**2/7 + 104*v - 160/7 = 0.
-4, -10/7, 1/4, 1, 2
Find w such that -5*w**2 - 225*w = 0.
-45, 0
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