
Factor v**4 - 6*v**3 - 35*v**2 - 48*v - 20.
(v - 10)*(v + 1)**2*(v + 2)
Factor -4*k**2/7 + 344*k - 51772.
-4*(k - 301)**2/7
Let -3*t**2 - 24*t + 60 = 0. Calculate t.
-10, 2
Let 35*s**4/4 + 400*s**3 + 4125*s**2/4 + 425*s - 215 = 0. What is s?
-43, -2, -1, 2/7
Factor 3*l**3 - 36*l**2 + 27*l + 66.
3*(l - 11)*(l - 2)*(l + 1)
Let 2*i**2/5 + 86*i/5 - 376/5 = 0. What is i?
-47, 4
Factor -n**2/6 + 13*n/2 + 21.
-(n - 42)*(n + 3)/6
Solve -55*q**3 + 1420*q**2 - 9035*q - 1690 = 0 for q.
-2/11, 13
Find g, given that -3*g**3 + 12*g**2 + 345*g + 1050 = 0.
-5, 14
Let -3*g**3 - 54*g**2 + 2280*g = 0. What is g?
-38, 0, 20
Factor 2*c**4 + 42*c**3 + 240*c**2 + 200*c.
2*c*(c + 1)*(c + 10)**2
Factor t**2/2 - 10*t - 22.
(t - 22)*(t + 2)/2
Factor h**4 + 13*h**3 + 35*h**2 - 49*h.
h*(h - 1)*(h + 7)**2
What is k in 5*k**2 - 225*k = 0?
0, 45
Determine z so that 2*z**3/15 - 2*z**2/5 - 32*z/15 - 8/5 = 0.
-2, -1, 6
Factor d**3/2 - 37*d**2/4 + 27*d - 45/4.
(d - 15)*(d - 3)*(2*d - 1)/4
Find v, given that 242*v**4 + 4928*v**3 + 33536*v**2 + 86016*v + 73728 = 0.
-8, -24/11
Factor 2*o**4/5 + 6*o**3/5 - 4*o**2/5 - 24*o/5 - 16/5.
2*(o - 2)*(o + 1)*(o + 2)**2/5
Suppose 6*l**3/7 + 822*l**2/7 + 27738*l/7 - 28566/7 = 0. Calculate l.
-69, 1
Suppose 4*d**3 + 464*d**2 + 12480*d - 57600 = 0. What is d?
-60, 4
Determine a so that -a**2/8 - 73*a/4 - 429/8 = 0.
-143, -3
Find g, given that 2*g**4 + 40*g**3/3 + 92*g**2/3 + 88*g/3 + 10 = 0.
-3, -5/3, -1
Determine c, given that -2*c**3/3 - 14*c**2 + 2*c/3 + 14 = 0.
-21, -1, 1
Determine t so that 4*t**2/3 + 76*t/3 - 1376 = 0.
-43, 24
Let -10*h**3 + 5056*h**2 - 638066*h - 256036 = 0. What is h?
-2/5, 253
What is p in 4*p**3 + 4*p**2 - 4*p - 4 = 0?
-1, 1
Find o such that -25*o**4 - 335*o**3 + 2720*o**2 + 1140*o = 0.
-19, -2/5, 0, 6
Factor 2*i**5/9 + 128*i**4/9 - 262*i**3/9 + 44*i**2/3.
2*i**2*(i - 1)**2*(i + 66)/9
Find u such that 3*u**3 + 5646*u**2 = 0.
-1882, 0
Suppose -3*j**3/2 + 132*j**2 - 255*j/2 - 261 = 0. What is j?
-1, 2, 87
Factor -15*s**3 - 100*s**2 + 185*s + 1050.
-5*(s + 3)*(s + 7)*(3*s - 10)
Factor -3*q**2/4 + 6*q.
-3*q*(q - 8)/4
Let -4*v**3/9 + 688*v**2/9 - 2036*v/9 + 1352/9 = 0. Calculate v.
1, 2, 169
Determine t so that 2*t**2/9 + 52*t/9 + 176/9 = 0.
-22, -4
Factor -3*q**2 + 120*q + 123.
-3*(q - 41)*(q + 1)
Find s, given that 7*s**4 - 47*s**3/2 + 57*s**2/2 - 29*s/2 + 5/2 = 0.
5/14, 1
Factor 2*z**2 + 6*z.
2*z*(z + 3)
Factor -2*o**3/15 + 138*o**2/5 - 164*o/3.
-2*o*(o - 205)*(o - 2)/15
Factor -2*r**2 + 144*r - 2592.
-2*(r - 36)**2
Determine y, given that 3*y**2 - 30*y = 0.
0, 10
Factor 5*t**3 + 20*t**2 - 25*t.
5*t*(t - 1)*(t + 5)
Let 5*r**3 - 430*r**2 - 2255*r - 1820 = 0. What is r?
-4, -1, 91
Factor 924*h**2 - 932*h + 144.
4*(11*h - 9)*(21*h - 4)
Factor i**3/3 - 17*i**2/3 + 9*i + 15.
(i - 15)*(i - 3)*(i + 1)/3
Let -g**3 + g**2 + 16*g - 16 = 0. What is g?
-4, 1, 4
Find p such that 4*p**2 + 376*p - 768 = 0.
-96, 2
Determine k so that 5*k**5 + 120*k**4 - 150*k**3 - 640*k**2 - 375*k = 0.
-25, -1, 0, 3
Find d, given that d**2/3 + 4*d + 35/3 = 0.
-7, -5
Let -t**2 + 2074*t - 1075369 = 0. What is t?
1037
Suppose 2*v**5/3 - 314*v**4/9 + 4154*v**3/9 - 346*v**2/3 - 4160*v/9 + 1352/9 = 0. What is v?
-1, 1/3, 1, 26
Factor -2*k**4 - 12*k**3 + 14*k**2.
-2*k**2*(k - 1)*(k + 7)
Suppose 4*i**4/7 + 172*i**3/7 + 2088*i**2/7 + 5120*i/7 + 3200/7 = 0. What is i?
-20, -2, -1
Determine s, given that s**3/7 + 4017*s**2/7 + 5378763*s/7 + 2400721219/7 = 0.
-1339
Factor 20*a**3 - 65*a**2 + 55*a - 10.
5*(a - 2)*(a - 1)*(4*a - 1)
Factor -2*b**3/9 - 28*b**2/9 + 10*b/3.
-2*b*(b - 1)*(b + 15)/9
Solve -4*o**4/5 + 24*o**3/5 + 12*o**2 + 32*o/5 = 0 for o.
-1, 0, 8
Solve -d**3/4 - 19*d**2/2 - 69*d/4 + 27 = 0.
-36, -3, 1
Factor -5*w**3 + 10*w**2 + 65*w + 50.
-5*(w - 5)*(w + 1)*(w + 2)
Factor 2*s**2/5 - 2*s/5 - 4/5.
2*(s - 2)*(s + 1)/5
Let f**2/4 - 55*f/2 - 111/4 = 0. Calculate f.
-1, 111
Factor 3*t**3/5 + 3*t**2 - 39*t/5 + 21/5.
3*(t - 1)**2*(t + 7)/5
Factor -j**3/5 - 257*j**2/5 + 778*j/5 - 104.
-(j - 2)*(j - 1)*(j + 260)/5
Factor 5*g**3 - 420*g**2 + 4320*g.
5*g*(g - 72)*(g - 12)
Factor -5*y**3 - 90*y**2 + 20*y + 360.
-5*(y - 2)*(y + 2)*(y + 18)
Factor 123*t**3/5 - 117*t**2/5 - 252*t/5 - 12/5.
3*(t - 2)*(t + 1)*(41*t + 2)/5
Determine s, given that 2*s**4/9 - 4*s**3/3 - 2*s**2/9 + 4*s/3 = 0.
-1, 0, 1, 6
Solve -v**5/8 + 9*v**4/8 + 101*v**3/8 + 171*v**2/8 + 10*v = 0.
-5, -1, 0, 16
Find t such that t**3/7 - 129*t**2/7 + 585*t + 4225/7 = 0.
-1, 65
Solve s**4 + 14*s**3 + 57*s**2 + 72*s = 0 for s.
-8, -3, 0
Determine h, given that 5*h**5 - 215*h**4 - 1945*h**3 + 10015*h**2 - 13360*h + 5500 = 0.
-11, 1, 2, 50
Let w**4/4 + w**3/4 - w**2 - w = 0. What is w?
-2, -1, 0, 2
Factor 4*t**2 + 1004*t + 5880.
4*(t + 6)*(t + 245)
Factor p**4/4 - 21*p**3/4 - 18*p**2 - p + 24.
(p - 24)*(p - 1)*(p + 2)**2/4
Factor 2*m**2/3 + 76*m/3 - 210.
2*(m - 7)*(m + 45)/3
Let 9*o**5/4 - 14*o**4 + 111*o**3/4 - 19*o**2 + 3*o = 0. What is o?
0, 2/9, 1, 2, 3
Factor 4*r**5 + 12*r**4 - 148*r**3 + 132*r**2 + 288*r.
4*r*(r - 3)**2*(r + 1)*(r + 8)
Let -2*m**2 - 6*m + 176 = 0. Calculate m.
-11, 8
Suppose -2*p**2/7 + 48*p/7 - 88/7 = 0. What is p?
2, 22
What is v in 18*v**4/5 + 57*v**3/5 + 9*v**2/5 - 72*v/5 - 12/5 = 0?
-2, -1/6, 1
Solve 180*u**5 - 480*u**4 - 8455*u**3 - 15735*u**2 - 4550*u - 360 = 0.
-4, -2, -1/6, 9
Factor -2*r**4 - 86*r**3 + 186*r**2 + 270*r.
-2*r*(r - 3)*(r + 1)*(r + 45)
Factor 2*l**3/3 - 8*l**2/3 + 2*l/3 + 4.
2*(l - 3)*(l - 2)*(l + 1)/3
Factor 5*c**3 + 10*c**2 - 5*c - 10.
5*(c - 1)*(c + 1)*(c + 2)
What is d in -14*d**2/15 - 64*d/15 + 2 = 0?
-5, 3/7
Determine w so that w**5/3 + 6*w**4 + 104*w**3/3 + 48*w**2 - 144*w - 288 = 0.
-6, -2, 2
Suppose -10*r**5/11 + 194*r**4/11 - 870*r**3/11 - 794*r**2/11 + 80*r + 600/11 = 0. Calculate r.
-1, -3/5, 1, 10
Solve -2*f**3/9 + 602*f**2/9 + 2434*f/9 + 610/3 = 0.
-3, -1, 305
Factor -2*g**2/7 + 976*g/7 + 280.
-2*(g - 490)*(g + 2)/7
Suppose 5*q**4/8 + 63*q**3/2 - 165*q**2/8 - 77*q - 51/2 = 0. Calculate q.
-51, -1, -2/5, 2
Factor -51*m**4 + 405*m**3 - 792*m**2 - 48*m.
-3*m*(m - 4)**2*(17*m + 1)
Factor -4*d**4/5 - 316*d**3/5 - 8424*d**2/5 - 78416*d/5 - 70304/5.
-4*(d + 1)*(d + 26)**3/5
Find l such that -3*l**4 - 5025*l**3 - 15057*l**2 - 15051*l - 5016 = 0.
-1672, -1
Determine t, given that -3*t**2 - 31*t - 10 = 0.
-10, -1/3
Find w, given that -12*w**5 - 4*w**4 + 204*w**3 + 68*w**2 - 192*w - 64 = 0.
-4, -1, -1/3, 1, 4
Factor 4*j**5 - 4*j**4 - 124*j**3 + 244*j**2 - 120*j.
4*j*(j - 5)*(j - 1)**2*(j + 6)
Solve -2*g**4 - 288*g**3 - 852*g**2 - 848*g - 282 = 0.
-141, -1
Factor 3*v**2/2 + 2265*v + 1710075/2.
3*(v + 755)**2/2
Determine q, given that -2*q**2 + 6*q + 8 = 0.
-1, 4
Factor -3*o**2 + 966*o + 969.
-3*(o - 323)*(o + 1)
Determine r so that -686*r**3 - 7056*r**2 - 24192*r - 27648 = 0.
-24/7
Let 54*v**2 - 18*v + 3/2 = 0. Calculate v.
1/6
Suppose -w**5/5 + 9*w**3/5 - 4*w**2/5 - 12*w/5 = 0. What is w?
-3, -1, 0, 2
Factor s**3 + 24*s**2 + 99*s + 76.
(s + 1)*(s + 4)*(s + 19)
Factor r**3 + 16*r**2 + 59*r + 44.
(r + 1)*(r + 4)*(r + 11)
Factor 3*s**3/5 - 24*s**2/5 + 3*s + 42/5.
3*(s - 7)*(s - 2)*(s + 1)/5
Let 3*l**5 - 7*l**4 + l**3/3 + 3*l**2 + 2*l/3 = 0. What is l?
-1/3, 0, 1, 2
Suppose -l**2/2 - 167*l + 335/2 = 0. Calculate l.
-335, 1
Factor x**2/11 - 2*x/11 - 80/11.
(x - 10)*(x + 8)/11
Solve -3*r**5/4 - 39*r**4/4 + 45*r**3/4 + 39*r**2/4 - 21*r/2 = 0 for r.
-14, -1, 0, 1
Factor 4*z**3 + 28*z**2 - 1056*z - 9792.
4*(z - 17)*(z + 12)**2
Factor -d**4/4 + d**3 + 3*d**2/4 - 7*d/2 + 2.
-(d - 4)*(d - 1)**2*(d + 2)/4
Suppose -f**3/3 + 2338*f**2/3 - 454740*f - 912600 = 0. Calculate f.
-2, 1170
Factor -i**2/4 - 167*i/2 - 27889/4.
-(i + 167)**2/4
Factor -2*l**3/21 - 2*l**2 - 40*l/21.
-2*l*(l + 1)*(l + 20)/21
Factor -x**2/2 + 13*x + 27/2.
-(x - 27)*(x + 1)/2
Factor -405*t**4 + 40725*t**3 + 18160*t**2 + 2020*t.
-5*t*(t - 101)*(9*t + 2)**2
Suppose 4*k**2 + 47704*k + 142229476 = 0. What is k?
-5963
Factor -3*i**3 + 42*i**2 + 93*i + 48.
-3*(i - 16)*(i + 1)**2
Determine z, given that z**2/3 - 887*z/3 + 886/3 = 0.
1, 886
Determine v, given that -2*v**3/7 - 18*v**2/7 - 52*v/7 - 48/7 = 0.
-4, -3, -2
Factor k**2/2 + 3*k - 8.
(k - 2)*(k + 8)/2
What is g in -3*g**5/5 - 9*g**4 + 63*g**3/5 + 249*g**2/5 + 144*g/5 = 0?
-16, -1, 0, 3
Solve 14*q**3/17 + 144*q**2/17 - 114*q/17 - 44/17 = 0 for q.
-11, -2/