.
-7, -1, 3
Factor 4*x**2 + 2688*x + 2684.
4*(x + 1)*(x + 671)
Factor 2*y**3 - 23*y**2/2 + 19*y/2.
y*(y - 1)*(4*y - 19)/2
Factor -w**2/3 + w/3 + 2/3.
-(w - 2)*(w + 1)/3
Factor 4*k**4 + 2*k**3 - 12*k**2 + 2*k + 4.
2*(k - 1)**2*(k + 2)*(2*k + 1)
Factor k**5 - 6*k**3 - 8*k**2 - 3*k.
k*(k - 3)*(k + 1)**3
Factor 3*h**5 + 54*h**4 + 135*h**3.
3*h**3*(h + 3)*(h + 15)
Factor 2*t**2 + 2012*t + 506018.
2*(t + 503)**2
Determine l so that -2*l**3/9 + 8*l**2/9 - 2*l/9 - 4/3 = 0.
-1, 2, 3
Factor -l**2/8 + 221*l/4 - 48841/8.
-(l - 221)**2/8
Factor -45*k**3 - 84*k**2 - 33*k + 6.
-3*(k + 1)**2*(15*k - 2)
Let g**4/6 - g**3/3 - 6*g**2 - 44*g/3 - 32/3 = 0. Calculate g.
-2, 8
Suppose -5*x**2 + 30*x = 0. Calculate x.
0, 6
Suppose -r**3 + 1728*r**2 - 995328*r + 191102976 = 0. What is r?
576
Factor -9*a**3 - 25*a**2 + 366*a - 80.
-(a - 5)*(a + 8)*(9*a - 2)
Factor 2*r**4/13 + 120*r**3/13 - 504*r**2/13 + 512*r/13.
2*r*(r - 2)**2*(r + 64)/13
Suppose -2*n**3/9 + 190*n**2/9 - 188*n/9 = 0. Calculate n.
0, 1, 94
Factor 2*c**2 + 3600*c + 1620000.
2*(c + 900)**2
What is j in -3*j**4 + 84*j**3 - 810*j**2 + 3300*j - 4875 = 0?
5, 13
Factor 288*n**2 - 100*n + 8.
4*(8*n - 1)*(9*n - 2)
Solve 9*l**5 - 39*l**4 + 42*l**3 + 12*l**2 - 24*l = 0 for l.
-2/3, 0, 1, 2
What is y in -4*y**5/7 - 4*y**4 - 8*y**3/7 + 16*y**2 + 96*y/7 = 0?
-6, -2, -1, 0, 2
Factor t**2 - 136*t + 4624.
(t - 68)**2
Determine i so that -2*i**2 + 360*i = 0.
0, 180
Factor t**5/4 - 3*t**4/4 - 3*t**3/2 + 2*t**2.
t**2*(t - 4)*(t - 1)*(t + 2)/4
Determine v, given that -3*v**2/4 + 912*v - 277248 = 0.
608
Suppose -5*k**2/3 + 109*k/3 - 140 = 0. What is k?
5, 84/5
Factor -26*x**2/3 + 1266*x - 292/3.
-2*(x - 146)*(13*x - 1)/3
Factor 4*z**2 + 13880*z + 12040900.
4*(z + 1735)**2
What is u in 2*u**4 - 22*u**3/13 - 888*u**2/13 - 1592*u/13 - 224/13 = 0?
-4, -2, -2/13, 7
Solve -2*p**3 - 114*p**2 + 116*p = 0 for p.
-58, 0, 1
Factor d**2/6 - 3*d + 16/3.
(d - 16)*(d - 2)/6
Determine r so that -2*r**5/3 - 14*r**4 - 272*r**3/3 - 248*r**2 - 896*r/3 - 128 = 0.
-12, -4, -2, -1
Factor -u**2 + 68*u - 67.
-(u - 67)*(u - 1)
Factor 2*s**4/7 + 216*s**3/7.
2*s**3*(s + 108)/7
Find w, given that 231*w**3 + 2292*w**2 - 204*w - 240 = 0.
-10, -2/7, 4/11
Factor 15*n**2 + 11796*n + 4716.
3*(n + 786)*(5*n + 2)
Determine j, given that -5*j**2 + 140*j + 300 = 0.
-2, 30
What is y in -y**4 - 17*y**3 + 69*y**2 + 185*y + 100 = 0?
-20, -1, 5
Factor -27*p**4/5 - 11178*p**3/5 + 22428*p**2/5 - 14968*p/5 + 3328/5.
-(p + 416)*(3*p - 2)**3/5
Solve -3*g**5 + 9*g**4 + 27*g**3 - 69*g**2 + 36*g = 0.
-3, 0, 1, 4
Find m such that 4*m**5 - 32*m**4 - 124*m**3 - 88*m**2 = 0.
-2, -1, 0, 11
Factor 4*a**4 + 16*a**3 + 20*a**2 + 8*a.
4*a*(a + 1)**2*(a + 2)
Find i such that -3*i**3 - 165*i**2 - 2184*i + 2352 = 0.
-28, 1
Factor 4*b**4 + 88*b**3 + 432*b**2 + 800*b + 512.
4*(b + 2)**3*(b + 16)
Find a such that -2*a**2/3 - 4*a - 6 = 0.
-3
Factor z**3/2 + 19*z**2/2 + 99*z/2 + 81/2.
(z + 1)*(z + 9)**2/2
Determine g, given that 405*g**3 + 18855*g**2 - 8440*g + 940 = 0.
-47, 2/9
Determine k so that -2*k**3/9 - 4*k**2/3 - 22*k/9 - 4/3 = 0.
-3, -2, -1
Suppose 2*i**3/11 - 14*i**2/11 + 20*i/11 = 0. Calculate i.
0, 2, 5
Factor -5*k**4/6 + 35*k**3/3 + 90*k**2 + 580*k/3 + 400/3.
-5*(k - 20)*(k + 2)**3/6
Find p, given that -14*p**5/5 - 32*p**4/5 + 104*p**3/5 + 284*p**2/5 + 198*p/5 + 36/5 = 0.
-3, -1, -2/7, 3
Let j**4/7 - 2*j**2/7 + 1/7 = 0. What is j?
-1, 1
Factor -5*d**3 + 45*d.
-5*d*(d - 3)*(d + 3)
Factor -3*u**3/5 + 27*u/5.
-3*u*(u - 3)*(u + 3)/5
Factor -f**4/2 + 40*f**3 - 800*f**2.
-f**2*(f - 40)**2/2
Find b such that -2*b**2 - 58*b - 200 = 0.
-25, -4
Factor -23*m**2/2 - 5*m/2 + 9.
-(m + 1)*(23*m - 18)/2
Factor 2*l**3/3 - 10*l**2/3 - 24*l.
2*l*(l - 9)*(l + 4)/3
Factor -p**5 - 78*p**4 + 85*p**3 + 474*p**2.
-p**2*(p - 3)*(p + 2)*(p + 79)
Factor x**2 + 6*x + 9.
(x + 3)**2
Find m, given that -3*m**2/4 + 6*m + 15 = 0.
-2, 10
Suppose -69*h**5/5 + 282*h**4/5 - 369*h**3/5 + 168*h**2/5 - 12*h/5 = 0. Calculate h.
0, 2/23, 1, 2
Solve u**4/4 - 11*u**3/2 + 23*u**2 - 61*u/2 + 51/4 = 0.
1, 3, 17
Factor -2*u**3/9 - 14*u**2/9 + 8*u/9 + 56/9.
-2*(u - 2)*(u + 2)*(u + 7)/9
Factor 8*j**3/3 + 4*j**2/3 - 8*j/3 - 4/3.
4*(j - 1)*(j + 1)*(2*j + 1)/3
Determine p so that -5*p**2/2 + 115*p - 225/2 = 0.
1, 45
Let 4*s**2 - 23144*s + 33477796 = 0. What is s?
2893
Factor 3*u**3 + 12*u**2 - 36*u.
3*u*(u - 2)*(u + 6)
Factor a**3/3 - 10*a**2/3 + 7*a.
a*(a - 7)*(a - 3)/3
Factor -2*k**2 - 366*k + 368.
-2*(k - 1)*(k + 184)
Solve 2*d**5/21 - 442*d**4/21 + 1214*d**3 - 39306*d**2/7 + 22032*d/7 + 69984/7 = 0 for d.
-1, 3, 108
Factor 4*u**3/5 + 1044*u**2/5 + 4128*u/5 + 4112/5.
4*(u + 2)**2*(u + 257)/5
Factor -36*j**3 - 800*j**2 + 652*j + 184.
-4*(j - 1)*(j + 23)*(9*j + 2)
Factor -b**2/3 + 7418*b/3 - 13756681/3.
-(b - 3709)**2/3
Determine g, given that 4*g**3 + 6756*g**2 + 3803628*g + 713814188 = 0.
-563
Let 9*v**5/5 + 87*v**4/5 - 3*v**3/5 - 603*v**2/5 + 822*v/5 - 312/5 = 0. Calculate v.
-26/3, -4, 1
Determine s so that 4*s**3 + 2112*s**2 - 4*s - 2112 = 0.
-528, -1, 1
Factor i**2 + 103*i/2 - 26.
(i + 52)*(2*i - 1)/2
Let 5*o**4 + 10*o**3 - 35*o**2 - 40*o + 60 = 0. Calculate o.
-3, -2, 1, 2
Suppose 2*v**3/9 + 4*v**2/9 - 70*v/9 = 0. What is v?
-7, 0, 5
Factor 5*u**2 + 5565*u + 11110.
5*(u + 2)*(u + 1111)
Let 4*o**5/9 - 88*o**3/9 + 80*o**2/9 + 28*o/3 - 80/9 = 0. Calculate o.
-5, -1, 1, 4
Find x, given that x**5 - 32*x**4/3 + 83*x**3/3 + 22*x**2 - 132*x + 72 = 0.
-2, 2/3, 3, 6
Factor -2*i**2/9 - 760*i/9 - 72200/9.
-2*(i + 190)**2/9
Factor -y**3/5 - 2*y**2/5 + 4*y/5 + 8/5.
-(y - 2)*(y + 2)**2/5
Let -4*l**2/3 + 32*l/3 - 64/3 = 0. What is l?
4
Factor 12*x**2 + 3921*x - 981.
3*(x + 327)*(4*x - 1)
Factor t**2 - 38*t + 361.
(t - 19)**2
Solve 2*a**2/9 - 64*a/9 - 22/3 = 0 for a.
-1, 33
Let -t**2/2 + 1631*t - 2660161/2 = 0. Calculate t.
1631
Factor -2*r**3/5 + 154*r**2/5 - 2886*r/5 - 3042/5.
-2*(r - 39)**2*(r + 1)/5
Let b**5 - 26*b**4 + 70*b**3 - 20*b**2 - 71*b + 46 = 0. Calculate b.
-1, 1, 2, 23
Find j, given that -2*j**2/21 - 28*j - 2058 = 0.
-147
Factor -3*z**2/7 + 33*z/7 - 30/7.
-3*(z - 10)*(z - 1)/7
Suppose -2*v**2/13 - 2*v - 44/13 = 0. Calculate v.
-11, -2
Determine w, given that -2*w**3 + 60*w**2 + 126*w + 64 = 0.
-1, 32
Solve 4*o**4 + 44*o**3 + 176*o**2 + 304*o + 192 = 0 for o.
-4, -3, -2
Factor -2*u**4/9 + 7052*u**3/9 - 6209282*u**2/9 - 1382192*u - 691488.
-2*(u - 1764)**2*(u + 1)**2/9
Factor -3*j**5/5 + 3879*j**4/5 - 1679562*j**3/5 + 49366746*j**2 - 1436071923*j/5 + 2131746903/5.
-3*(j - 429)**3*(j - 3)**2/5
Solve -3*v**3 + 54*v**2 - 177*v + 126 = 0.
1, 3, 14
What is m in -8*m**4 + 114*m**3 - 284*m**2 - 960*m + 256 = 0?
-2, 1/4, 8
Factor -3*o**4/5 + 54*o**3/5 - 252*o**2/5 + 456*o/5 - 288/5.
-3*(o - 12)*(o - 2)**3/5
Factor 3*g**2/8 + 2463*g/8 - 1233/4.
3*(g - 1)*(g + 822)/8
Solve 3*w**5 + 33*w**4 - 18*w**3 - 222*w**2 - 273*w - 99 = 0.
-11, -1, 3
Factor 5*j**3 - 40*j**2 - 45*j.
5*j*(j - 9)*(j + 1)
Suppose -5*f**4 - 195*f**3 + 6415*f**2 - 43725*f + 37510 = 0. Calculate f.
-62, 1, 11
Factor -4*z**3 + 240*z**2 - 2448*z + 6912.
-4*(z - 48)*(z - 6)**2
Factor 2*x**2/17 + 632*x/17 + 1256/17.
2*(x + 2)*(x + 314)/17
Suppose 4*z**3 + 1312*z**2 + 3900*z = 0. What is z?
-325, -3, 0
Factor -3*v**2 + 363*v.
-3*v*(v - 121)
Factor 3*q**2 + 3618*q + 10827.
3*(q + 3)*(q + 1203)
What is t in 3*t**2 + 1533*t + 3054 = 0?
-509, -2
Factor 4*u**2 - 848*u + 1680.
4*(u - 210)*(u - 2)
Find t such that -4*t**2 + 376*t + 1980 = 0.
-5, 99
Factor l**2 + 154*l + 304.
(l + 2)*(l + 152)
Determine k, given that -k**4/4 - 63*k**3/2 - 125*k**2/4 = 0.
-125, -1, 0
Determine q so that -5*q**4 + 60*q**3 - 105*q**2 - 410*q - 240 = 0.
-1, 6, 8
Let 2*y**4/9 + 2*y**3 + 10*y**2/3 + 14*y/9 = 0. Calculate y.
-7, -1, 0
Suppose -3*y**3/5 + 804*y**2/5 - 1596*y/5 = 0. Calculate y.
0, 2, 266
Factor s**2/4 + 47*s/2 + 552.
(s + 46)*(s + 48)/4
Determine w, given that w**2/8 + 32*w - 257/8 = 0.
-257, 1
What is w in -2*w**4/11 + 6*w**3/11 + 6*w**2 + 106*w/11 + 48/11 = 0?
-3, -1, 8
Factor 2*j**2/15 - 27736*j/15 + 96160712/15.
2*(j - 6934)**2/15
Factor 2*r**5 - 14*r**4 - 16*r**3.
2*r**3*(r - 8)*(r + 1)
Factor 3*m**2/7 - 7839*m/7 + 7836/7.
3*(m - 2612)*(m - 1)/7
Suppose -2*y**5 + 30*y**4 + 68*y**3 = 0. What is y?
-2, 0, 17
Determine c, given that -3*c**4 - 99*c**3 + 102*c**2 = 0.
-34, 0, 1
Let 10*j**4