 + 456*o**3 + 2700*o**2 + 1544*o - 672 = 0. Calculate o.
-4, -1, 2/7, 21
Factor -y**3/2 + 25*y**2 + 523*y/2 + 236.
-(y - 59)*(y + 1)*(y + 8)/2
Factor 4*t**2/9 + 20*t/9 + 8/3.
4*(t + 2)*(t + 3)/9
Factor 2*m**3/11 + 4*m**2/11 - 6*m/11.
2*m*(m - 1)*(m + 3)/11
Determine o so that -4*o**2 + 16*o + 20 = 0.
-1, 5
Factor 3*r**4 + 6*r**3 - 576*r**2 + 1920*r + 6144.
3*(r - 8)**2*(r + 2)*(r + 16)
Factor -v**4 - 54*v**3 - 52*v**2 + 54*v + 53.
-(v - 1)*(v + 1)**2*(v + 53)
Factor -x**5/2 - 5*x**4 - 8*x**3 + x**2 + 17*x/2 + 4.
-(x - 1)*(x + 1)**3*(x + 8)/2
Solve h**5/2 + 13*h**4/2 + 31*h**3/2 - 101*h**2/2 - 70*h + 98 = 0.
-7, -2, 1, 2
Factor -3*y**5/7 - 51*y**4/7 + 1566*y**3/7 - 10692*y**2/7 + 3240*y.
-3*y*(y - 6)**3*(y + 35)/7
Solve -4*x**2/3 - 408*x - 1220/3 = 0 for x.
-305, -1
Factor 57*m**3/2 - 29*m**2 - 341*m/2 + 3.
(m - 3)*(m + 2)*(57*m - 1)/2
Find y such that 5*y**4 + 30*y**3 = 0.
-6, 0
Let u**5/3 - 7*u**4/3 - 3*u**3 + 7*u**2/3 + 8*u/3 = 0. What is u?
-1, 0, 1, 8
Factor -z**2 + 33*z - 32.
-(z - 32)*(z - 1)
Factor 3*x**4 + 69*x**3 + 516*x**2 + 1584*x + 1728.
3*(x + 3)*(x + 4)**2*(x + 12)
Factor -4*s**5 - 4*s**4 + 20*s**3 - 12*s**2.
-4*s**2*(s - 1)**2*(s + 3)
Factor h**2/3 + 6*h.
h*(h + 18)/3
Solve -2*f**5/11 + 12*f**4/11 + 16*f**3/11 - 12*f**2/11 - 14*f/11 = 0.
-1, 0, 1, 7
Suppose 3*i**2/7 - 45*i/7 - 54 = 0. What is i?
-6, 21
Determine n so that -2*n**4/15 + 2*n**3/3 + 32*n**2/5 - 88*n/3 + 448/15 = 0.
-7, 2, 8
Factor 28*p**2/3 + 26*p/3 - 2/3.
2*(p + 1)*(14*p - 1)/3
Factor 5*x**4 + 20*x**3 + 15*x**2.
5*x**2*(x + 1)*(x + 3)
Find q such that 2*q**3/5 + 68*q**2/5 - 46*q - 296/5 = 0.
-37, -1, 4
Determine s so that s**2/2 - 537*s/2 - 269 = 0.
-1, 538
Factor 3*n**2/4 - 69*n/2 + 1587/4.
3*(n - 23)**2/4
What is f in -3*f**3 + 1047*f**2 = 0?
0, 349
Find r, given that 3*r**2/7 - 477*r/7 - 480/7 = 0.
-1, 160
Determine o, given that -5*o**5/4 + 5*o**4/2 - 5*o**2/2 + 5*o/4 = 0.
-1, 0, 1
Factor h**3/10 - 57*h**2/10 - 117*h/10 - 59/10.
(h - 59)*(h + 1)**2/10
Let -5*w**3 - 6765*w**2 - 6750*w + 13520 = 0. Calculate w.
-1352, -2, 1
Let 2*i**4/9 + 74*i**3/9 = 0. What is i?
-37, 0
Find g, given that -4*g**4 - 20*g**3 + 56*g**2 = 0.
-7, 0, 2
Let 6*y**5 - 1197*y**4 + 61746*y**3 - 202851*y**2 + 55860*y + 86436 = 0. What is y?
-1/2, 1, 3, 98
Factor k**3/2 - 3*k**2/2 - 2*k + 6.
(k - 3)*(k - 2)*(k + 2)/2
Factor 58482*a**2 - 684*a + 2.
2*(171*a - 1)**2
Factor -49*x**4/3 + 301*x**3/3 - 296*x**2/3 + 80*x/3.
-x*(x - 5)*(7*x - 4)**2/3
Determine y so that -20*y**4 - 165*y**3 - 140*y**2 + 255*y + 70 = 0.
-7, -2, -1/4, 1
Solve -6*w**4/7 + 58*w**3/7 + 86*w**2/7 + 22*w/7 = 0 for w.
-1, -1/3, 0, 11
Determine w so that 20*w**2/7 + 34*w/7 - 12/7 = 0.
-2, 3/10
Determine u so that -u**4/3 + 17*u**3/3 + 80*u**2/3 + 28*u = 0.
-2, 0, 21
Let r**3 - 287*r**2 + 21016*r - 60492 = 0. Calculate r.
3, 142
Find g, given that 3*g**2 + g = 0.
-1/3, 0
Factor -2*z**3/5 + 16*z**2/5 + 608*z + 7680.
-2*(z - 48)*(z + 20)**2/5
Factor c**4/3 + 5*c**3/3 + 2*c**2.
c**2*(c + 2)*(c + 3)/3
Factor -y**4 + 23*y**3 - 120*y**2 - 144*y.
-y*(y - 12)**2*(y + 1)
Find p, given that -16*p**3 + 44*p**2 + 12*p = 0.
-1/4, 0, 3
Suppose 4*m**3 - 3280*m**2 + 672400*m = 0. What is m?
0, 410
Let -10*k**2 - 1914*k - 764 = 0. What is k?
-191, -2/5
Factor 5*y**2 - 1320*y.
5*y*(y - 264)
Let 2*c**2/23 - 1392*c/23 - 8424/23 = 0. Calculate c.
-6, 702
Determine j so that j**3 - 2*j**2 - 5*j + 6 = 0.
-2, 1, 3
Let a**3/2 - 7*a**2/2 - 22*a = 0. What is a?
-4, 0, 11
Solve 5*t**3/4 - 10*t**2 + 25*t/4 + 35/2 = 0.
-1, 2, 7
Find s, given that -4*s**3 + 12*s**2 + 180*s + 324 = 0.
-3, 9
Find v, given that -2*v**3 + 546*v**2 + 2*v - 546 = 0.
-1, 1, 273
Let -p**3/5 - 219*p**2/5 + p/5 + 219/5 = 0. Calculate p.
-219, -1, 1
Find d such that 2*d**5/5 + 4*d**4 + 78*d**3/5 + 148*d**2/5 + 136*d/5 + 48/5 = 0.
-3, -2, -1
Find z such that -95*z**4 + 1055*z**3 - 1915*z**2 + 1045*z - 90 = 0.
2/19, 1, 9
Suppose 2*w**3/5 + 1176*w**2/5 + 2346*w/5 + 1172/5 = 0. What is w?
-586, -1
Solve 192*m**5/5 + 16464*m**4 + 61668*m**3/5 + 15411*m**2/5 + 1284*m/5 = 0 for m.
-428, -1/4, 0
What is z in 3*z**4/7 - 36*z**3/7 + 30*z**2/7 + 36*z/7 - 33/7 = 0?
-1, 1, 11
Factor -4*d**4 + 124*d**3 - 220*d**2 - 348*d.
-4*d*(d - 29)*(d - 3)*(d + 1)
Let -s**5 - s**4 + 4*s**3 + 4*s**2 = 0. Calculate s.
-2, -1, 0, 2
Factor 2*l**4/7 - 4*l**3/7 - 48*l**2/7.
2*l**2*(l - 6)*(l + 4)/7
Factor -3*h**2 + 513*h.
-3*h*(h - 171)
Let -y**5 + 119*y**4 - 3703*y**3 + 9021*y**2 + 33408*y - 90828 = 0. What is y?
-3, 3, 58
Factor x**3/3 - 17*x**2/3 - 20*x/3 + 12.
(x - 18)*(x - 1)*(x + 2)/3
Find j, given that 2*j**2/7 - 30*j/7 - 68/7 = 0.
-2, 17
Solve -44*s**4/3 - 184*s**3/3 - 208*s**2/3 - 32*s/3 = 0.
-2, -2/11, 0
Let m**5 - 3*m**4 - 4*m**3 + 12*m**2 = 0. Calculate m.
-2, 0, 2, 3
Find d such that d**4 - 118*d**3 + 116*d**2 + 118*d - 117 = 0.
-1, 1, 117
Factor 2*x**2 - 96*x + 1150.
2*(x - 25)*(x - 23)
Suppose -3*r**3/7 + 87*r**2/7 + 90*r/7 = 0. What is r?
-1, 0, 30
Find q, given that -q**2/3 - 5*q + 100/3 = 0.
-20, 5
Solve 5*q**2 + 2880*q + 414720 = 0.
-288
Factor -r**4/5 - 2*r**3 + 12*r**2/5 + 266*r/5 + 49.
-(r - 5)*(r + 1)*(r + 7)**2/5
Factor 2*h**2 + 1228*h + 4880.
2*(h + 4)*(h + 610)
Determine z, given that 4*z**3 - 48*z**2 + 116*z - 72 = 0.
1, 2, 9
Factor 2*l**3 + 360*l**2 - 726*l + 364.
2*(l - 1)**2*(l + 182)
Factor -5*d**4 + 30*d**3 - 40*d**2.
-5*d**2*(d - 4)*(d - 2)
Solve 40*y**4 + 196*y**3 + 260*y**2 + 92*y - 12 = 0 for y.
-3, -1, 1/10
Factor 204*c**2/13 + 202*c/13 - 2/13.
2*(c + 1)*(102*c - 1)/13
Factor 14*i**4 + 144*i**3 + 40*i**2.
2*i**2*(i + 10)*(7*i + 2)
Factor -3*j**3/2 + 3*j**2 + 9*j/2.
-3*j*(j - 3)*(j + 1)/2
Find h, given that 484*h**2/3 + 352*h + 192 = 0.
-12/11
Solve 3*h**3 - 306*h**2 + 10404*h - 117912 = 0 for h.
34
Factor -2*a**3 - 6*a**2 + 8*a.
-2*a*(a - 1)*(a + 4)
Solve -4*x**4 - 120*x**3 - 204*x**2 + 584*x + 672 = 0.
-28, -3, -1, 2
Find x such that 8*x**2/11 + 170*x/11 - 12 = 0.
-22, 3/4
Suppose d**5/2 + d**4/2 - 5*d**3/2 - 5*d**2/2 + 2*d + 2 = 0. What is d?
-2, -1, 1, 2
Factor -55*x**3/4 - 219*x**2/2 - 216*x + 8.
-(x + 4)**2*(55*x - 2)/4
Solve -3*x**5 - 66*x**4 - 513*x**3 - 1794*x**2 - 2784*x - 1440 = 0.
-10, -4, -3, -1
Factor x**5/3 + 7*x**4/3 + 7*x**3/3 - 5*x**2.
x**2*(x - 1)*(x + 3)*(x + 5)/3
Determine j so that -3*j**2 + 45*j = 0.
0, 15
Let -2*u**4/9 + 16*u**3/9 - 4*u**2/3 - 16*u/9 + 14/9 = 0. What is u?
-1, 1, 7
Let -4*l**2/7 - 752*l/7 - 748/7 = 0. Calculate l.
-187, -1
Let -2*g**5/11 + 7*g**4/11 + 42*g**3/11 - 73*g**2/11 + 2*g/11 + 24/11 = 0. Calculate g.
-4, -1/2, 1, 6
Factor -k**3/2 - 11*k**2 + 23*k/2.
-k*(k - 1)*(k + 23)/2
Determine i so that -65*i**3/2 - 60*i**2 - 45*i/2 + 5 = 0.
-1, 2/13
What is o in o**4 - 7*o**2 - 6*o = 0?
-2, -1, 0, 3
Factor -t**4/5 + 16*t**3 - 78*t**2/5 - 16*t + 79/5.
-(t - 79)*(t - 1)**2*(t + 1)/5
Factor x**2 + 6*x + 9.
(x + 3)**2
Suppose -3*b**2 - 15*b + 42 = 0. Calculate b.
-7, 2
Find s such that -3*s**4 - 609*s**3 - 42174*s**2 - 1058508*s - 4312440 = 0.
-66, -5
Let 9*n**3/7 + 66*n**2/7 + 60*n/7 - 72/7 = 0. What is n?
-6, -2, 2/3
Find y, given that -103*y**3/3 + 8*y**2 + 103*y/3 - 8 = 0.
-1, 24/103, 1
Determine g, given that 16*g**2 - 454*g + 168 = 0.
3/8, 28
Suppose -15*n**5 - 5*n**4 + 190*n**3 + 300*n**2 - 40*n - 160 = 0. What is n?
-2, -1, 2/3, 4
Solve b**2/8 - 5*b + 50 = 0 for b.
20
Suppose 3*v**5/4 + 39*v**4/8 - 9*v**3/2 - 111*v**2/8 - 21*v/4 = 0. Calculate v.
-7, -1, -1/2, 0, 2
Factor 2*k**2/3 - 742*k/3 + 740/3.
2*(k - 370)*(k - 1)/3
Find z such that -2*z**4 + 234*z**3 + 1720*z**2 + 2016*z - 3968 = 0.
-4, 1, 124
Factor l**2/3 + 1462*l/3 + 534361/3.
(l + 731)**2/3
Determine o, given that -722*o**5/3 + 4256*o**4/3 + 1836*o**3 + 544*o**2/3 + 14*o/3 = 0.
-1, -1/19, 0, 7
Suppose v**2 + 21*v - 270 = 0. Calculate v.
-30, 9
Factor -5*g**2 - 175*g + 1000.
-5*(g - 5)*(g + 40)
Let 2*c**3/21 + 4282*c**2/21 + 8558*c/21 + 1426/7 = 0. Calculate c.
-2139, -1
Factor 2*v**2/5 - 64*v/5 + 512/5.
2*(v - 16)**2/5
Factor -4*p**4 + 76*p**3 - 396*p**2 + 324*p.
-4*p*(p - 9)**2*(p - 1)
Find y, given that 36*y**5 - 152*y**4 - 328*y**3 + 1088*y**2 - 764*y + 120 = 0.
-3, 2/9, 1, 5
Factor 2*h**3 - 64*h**2 + 174*h.
2*h*(h - 29)*(h - 3)
Factor -2*v**4/9 - 112*v**3/9 + 784*v**2/9 + 21952*v/3 - 76832.
-2*(v - 14)**2*(v + 42)**2/9
Factor -2*h**2/3 + 46*h/3 - 40.
-2*(h - 20)*(h - 3)/3