3 + 522*p**2 - 528*p + 177 = 0. Calculate p.
-59, 1
Suppose n**4/4 - 7*n**3/4 + 17*n**2/4 - 17*n/4 + 3/2 = 0. What is n?
1, 2, 3
Determine y, given that 3*y**5/8 - 9*y**4/2 + 33*y**3/2 - 105*y**2/4 + 153*y/8 - 21/4 = 0.
1, 2, 7
Solve 8*k**5/9 + 40*k**4/9 + 26*k**3/9 - 32*k**2/9 - 34*k/9 - 8/9 = 0.
-4, -1, -1/2, 1
Factor 3*n**2/2 + 105*n/2 - 111.
3*(n - 2)*(n + 37)/2
Factor 16*b**4 + 116*b**3 - 52*b**2 - 1220*b - 300.
4*(b - 3)*(b + 5)**2*(4*b + 1)
Factor -3*d**5 - 12*d**4 - 9*d**3.
-3*d**3*(d + 1)*(d + 3)
Determine d, given that 3*d**2/5 - 222*d/5 - 45 = 0.
-1, 75
Let 20*n**4/7 + 128*n**3/7 - 684*n**2/7 + 360*n/7 = 0. Calculate n.
-10, 0, 3/5, 3
Let m**4/3 - 23*m**3 + 550*m**2 - 15004*m/3 + 10648 = 0. What is m?
3, 22
Solve 5*k**4/4 - 57*k**3/4 + 31*k**2/2 + 21*k - 10 = 0.
-1, 2/5, 2, 10
Solve -z**5/4 + 29*z**4/4 - 81*z**3/2 - 176*z**2 - 128*z = 0 for z.
-2, -1, 0, 16
Solve -15*s**2 + 5555*s + 3710 = 0.
-2/3, 371
Factor 2*z**5/13 + 10*z**4/13 + 14*z**3/13 + 6*z**2/13.
2*z**2*(z + 1)**2*(z + 3)/13
Determine j, given that -69*j**3/4 + 177*j**2/2 - 261*j/4 - 135 = 0.
-20/23, 3
Factor 3*u**5 + 12*u**4 - 246*u**3 - 1092*u**2 + 1323*u.
3*u*(u - 9)*(u - 1)*(u + 7)**2
Suppose n**3 - 123*n**2 - n + 123 = 0. Calculate n.
-1, 1, 123
Let 4*u**2 + 68*u - 72 = 0. Calculate u.
-18, 1
Let -44*g**3 - 168*g**2 + 252*g - 40 = 0. What is g?
-5, 2/11, 1
What is y in -5*y**3 + 895*y**2 + 910*y - 1800 = 0?
-2, 1, 180
Factor n**5 - 28*n**4 - 93*n**3 - 4*n**2 + 124*n.
n*(n - 31)*(n - 1)*(n + 2)**2
Suppose 2*h**2/5 - 80*h + 390 = 0. Calculate h.
5, 195
Solve -5*t**4 + 35*t**3 - 75*t**2 + 65*t - 20 = 0 for t.
1, 4
Factor 2*s**3/5 - 132*s**2/5 + 570*s - 20216/5.
2*(s - 28)*(s - 19)**2/5
Find s such that -5*s**3/2 - 2605*s**2/2 + 1305*s = 0.
-522, 0, 1
Factor -2*n**3/5 - 112*n**2/5 - 418*n - 12996/5.
-2*(n + 18)*(n + 19)**2/5
Factor -17*m**2/3 + 155*m/3 - 6.
-(m - 9)*(17*m - 2)/3
Factor -5*t**2 - 150*t - 145.
-5*(t + 1)*(t + 29)
Find x such that -9*x**5 + 15*x**4 + 21*x**3 - 27*x**2 - 12*x + 12 = 0.
-1, 2/3, 1, 2
Let -2*a**4 - 8*a**3 + 74*a**2 - 136*a + 72 = 0. What is a?
-9, 1, 2
Factor 2*d**2 + 199*d - 201.
(d - 1)*(2*d + 201)
Determine z, given that -8*z**4 + 444*z**3 - 6048*z**2 - 3136*z = 0.
-1/2, 0, 28
Factor -2*l**4/9 + 16*l**3/9 + 152*l**2 - 2016*l.
-2*l*(l - 18)**2*(l + 28)/9
Factor -b**4 - 44*b**3 + 4*b**2 + 176*b.
-b*(b - 2)*(b + 2)*(b + 44)
Solve 35*w**5 + 45*w**4 - 60*w**3 - 20*w**2 = 0.
-2, -2/7, 0, 1
Let d**5 - 32*d**4 + 180*d**3 + 1296*d**2 = 0. Calculate d.
-4, 0, 18
Find r, given that r**2 + 22*r = 0.
-22, 0
Solve 3*j**5/7 - 48*j**4/7 + 9*j**3 + 354*j**2/7 - 876*j/7 + 72 = 0.
-3, 1, 2, 14
Determine p, given that 2*p**3/9 - 1292*p**2/9 - 5194*p/9 - 1300/3 = 0.
-3, -1, 650
Factor -t**2/3 - 473*t/3 - 472/3.
-(t + 1)*(t + 472)/3
Factor -5*c**2 - 40*c + 100.
-5*(c - 2)*(c + 10)
Determine g, given that g**3 - 13*g**2 - 66*g + 288 = 0.
-6, 3, 16
Determine c so that 3*c**5 - 12*c**4 - 42*c**3 + 168*c**2 - 177*c + 60 = 0.
-4, 1, 5
Factor h**3/7 - 17*h**2/7 + 6*h.
h*(h - 14)*(h - 3)/7
Factor -5*x**3 + 300*x**2 - 6000*x + 40000.
-5*(x - 20)**3
Factor l**5/4 + 139*l**4/4 - 357*l**3/2 + 217*l**2 + 142*l - 288.
(l - 2)**3*(l + 1)*(l + 144)/4
Suppose 4*n**2 - 3696*n + 853776 = 0. What is n?
462
Factor -5*v**5 + 40*v**4 - 105*v**3 + 70*v**2 + 100*v - 120.
-5*(v - 3)*(v - 2)**3*(v + 1)
Determine w, given that -w**5 - 145*w**4 + 742*w**3 - 1196*w**2 + 600*w = 0.
-150, 0, 1, 2
Factor 2*r**2/5 - 84*r/5 - 54.
2*(r - 45)*(r + 3)/5
Factor -5*u**3 + 80*u**2.
-5*u**2*(u - 16)
Factor 4*x**3 + 216*x**2 + 596*x - 816.
4*(x - 1)*(x + 4)*(x + 51)
Let t**2 + 135*t - 136 = 0. Calculate t.
-136, 1
Determine s so that 2*s**2/3 + 116*s/3 - 80 = 0.
-60, 2
Let 5*g**5 - 25*g**4 - 165*g**3 + 225*g**2 + 1080*g = 0. What is g?
-3, 0, 3, 8
Factor -f**5/4 - 7*f**4/4 + 27*f**3/4 - 29*f**2/4 + 5*f/2.
-f*(f - 1)**3*(f + 10)/4
What is b in -4*b**2 - 436*b - 1272 = 0?
-106, -3
Suppose -a**3 + 54*a**2 + 228*a + 232 = 0. What is a?
-2, 58
Let 55*o**5 - 45*o**4 - 395*o**3 - 15*o**2 + 340*o + 60 = 0. What is o?
-2, -1, -2/11, 1, 3
Determine i, given that i**2/5 + 137*i/5 - 278/5 = 0.
-139, 2
Let -l**4/3 + l**3 + 5*l**2/3 - l - 4/3 = 0. What is l?
-1, 1, 4
Suppose x**5/4 - 15*x**4/4 + 47*x**3/4 + 43*x**2/4 - 30*x - 25 = 0. What is x?
-1, 2, 5, 10
Factor 2*p**4/3 - 16*p**3/3 + 10*p**2 + 16*p/3 - 32/3.
2*(p - 4)**2*(p - 1)*(p + 1)/3
What is y in 9*y**4 - 5973*y**3 + 3978*y**2 = 0?
0, 2/3, 663
Factor m**5 + 4*m**4 - 2*m**3 - 8*m**2 + m + 4.
(m - 1)**2*(m + 1)**2*(m + 4)
Factor d**2 + 1020*d + 260100.
(d + 510)**2
Determine p so that -2*p**2/13 + 990*p/13 = 0.
0, 495
What is d in -2*d**3/7 - 1046*d**2/7 - 298*d - 1042/7 = 0?
-521, -1
Factor 4*h**3 + 4*h**2 - 176*h - 336.
4*(h - 7)*(h + 2)*(h + 6)
Let -5*l**2 - 26390*l - 34821605 = 0. Calculate l.
-2639
Determine l, given that -l**4/2 - 104*l**3 - 11021*l**2/2 - 10609*l = 0.
-103, -2, 0
Find y, given that 25*y**2/6 - 310*y/3 + 121/2 = 0.
3/5, 121/5
What is u in 6*u**3 + 8*u**2 - 34*u - 12 = 0?
-3, -1/3, 2
Suppose -2*s**2 - 848*s - 89888 = 0. What is s?
-212
Solve 10*t**5/3 + 13*t**4/3 - 67*t**3/3 - 31*t**2/3 + 19*t + 6 = 0.
-3, -1, -3/10, 1, 2
Solve -4*l**5 - 28*l**4 - 60*l**3 - 36*l**2 = 0 for l.
-3, -1, 0
Factor -3*b**2/4 + 3*b/4 + 3/2.
-3*(b - 2)*(b + 1)/4
Factor 2*c**3 + 26*c**2 - 32*c - 56.
2*(c - 2)*(c + 1)*(c + 14)
Find i, given that i**4/2 - 7*i**3/2 + i**2 + 20*i = 0.
-2, 0, 4, 5
Factor 3*o**3/8 - 987*o**2/8.
3*o**2*(o - 329)/8
Factor -2*c**3 + 30*c**2 + 234*c + 378.
-2*(c - 21)*(c + 3)**2
Factor 2*z**4/9 + 1178*z**3/9 + 79420*z**2/3 + 17833400*z/9 + 260642000/9.
2*(z + 19)*(z + 190)**3/9
Factor 2*d**3/5 - 164*d**2 + 15960*d + 176400.
2*(d - 210)**2*(d + 10)/5
Solve -245*j**3 + 2555*j**2 + 1520*j + 220 = 0.
-2/7, 11
Find d such that 2*d**5 + 36*d**4 + 160*d**3 - 36*d**2 - 162*d = 0.
-9, -1, 0, 1
Find r such that -3*r**5 - 105*r**4 - 1137*r**3 - 3735*r**2 - 2700*r = 0.
-15, -4, -1, 0
Factor -4*z**4 + 36*z**3 - 116*z**2 + 156*z - 72.
-4*(z - 3)**2*(z - 2)*(z - 1)
Factor p**2/5 - 146*p/5 - 151.
(p - 151)*(p + 5)/5
Factor 47089*n**2/10 + 434*n/5 + 2/5.
(217*n + 2)**2/10
Let -2*t**3 + 4*t**2 + 62*t + 56 = 0. Calculate t.
-4, -1, 7
Determine a, given that a**2 + 13*a + 30 = 0.
-10, -3
Let -3*x**2 - 393*x - 774 = 0. What is x?
-129, -2
Solve 27*x**4 + 423*x**3 - 159*x**2 - 243*x - 48 = 0 for x.
-16, -1/3, 1
Let -2*y**3 - 26*y**2 - 80*y = 0. Calculate y.
-8, -5, 0
Factor 12*l**2/11 - 1418*l/11 + 236/11.
2*(l - 118)*(6*l - 1)/11
Solve -i**3/8 - 91*i**2/8 + i/8 + 91/8 = 0 for i.
-91, -1, 1
Factor -3*q**2/4 - 111*q/4 + 90.
-3*(q - 3)*(q + 40)/4
Factor -5*s**3 - 65*s**2 + 5*s + 65.
-5*(s - 1)*(s + 1)*(s + 13)
Suppose 4*d**4/11 - 10*d**3/11 - 6*d**2/11 = 0. What is d?
-1/2, 0, 3
What is w in -2*w**2 - 836*w - 4130 = 0?
-413, -5
Determine d so that -d**2/4 - 33*d/2 - 62 = 0.
-62, -4
Factor -b**2 + 94*b + 95.
-(b - 95)*(b + 1)
Determine o, given that -o**4/3 + 4*o**3 - 7*o**2 + 10*o/3 = 0.
0, 1, 10
Factor 4*u**2 - 49672*u + 154206724.
4*(u - 6209)**2
Find m such that -3*m**2/2 - 165*m - 1764 = 0.
-98, -12
What is g in -2*g**3/9 + 106*g**2/9 - 1702*g/9 + 7406/9 = 0?
7, 23
Determine d, given that 4*d**3 + 44*d**2 - 160*d + 112 = 0.
-14, 1, 2
Find h, given that 104*h**5/21 - 134*h**4/3 + 526*h**3/7 - 758*h**2/21 + 2*h/3 = 0.
0, 1/52, 1, 7
Factor 4*j**3/3 + 720*j**2 + 1436*j + 2152/3.
4*(j + 1)**2*(j + 538)/3
Solve r**5 - r**4 - 65*r**3 - 63*r**2 = 0.
-7, -1, 0, 9
Solve -c**5 - 17*c**4 - 90*c**3 - 108*c**2 + 216*c = 0 for c.
-6, 0, 1
Factor -2*y**2/3 - 1790*y/3 - 596.
-2*(y + 1)*(y + 894)/3
Solve -4*f**2 - 16*f - 12 = 0.
-3, -1
Determine g so that 64*g**5 - 288*g**4 - 7068*g**3 - 19604*g**2 - 8496*g - 1008 = 0.
-6, -3, -1/4, 14
Factor 5*b**2 + 27130*b - 27135.
5*(b - 1)*(b + 5427)
Factor 7*g**3/2 - 29*g**2/2 - 36*g - 18.
(g - 6)*(g + 1)*(7*g + 6)/2
Suppose -g**3 - 6*g**2 - 5*g + 12 = 0. What is g?
-4, -3, 1
Factor -11163*m**2 + 366*m - 3.
-3*(61*m - 1)**2
Determine w, given that -2*w**4/7 + 22*w**3/7 + 114*w**2/7 + 90*w/7 = 0.
-3, -1, 0, 15
Determine b, given that b**2/2 + 617*b + 380689/2 = 0.
-617
Factor -16*b**5 + 92*b**4 - 120*b**3 - 36*b**2.
-4*b**2*(b - 3)**2*(4*b + 1)
Factor i**2 - 64.
(i - 8)*(i + 8)
Factor 22*b**2/7 - 46*b/7 - 60/7.
2*(b - 3)*(11*b + 10)/7
