**2 - 720*y.
y*(y - 2)*(y + 4)*(y + 90)
Factor 3*y**4 - 15*y**3 - 9*y**2 + 39*y + 30.
3*(y - 5)*(y - 2)*(y + 1)**2
Factor -2*z**4/3 + 296*z**3/3 - 9704*z**2/3 - 30784*z - 64896.
-2*(z - 78)**2*(z + 4)**2/3
Determine w, given that 3*w**3 - 330*w**2 - 7500*w - 39000 = 0.
-10, 130
What is t in -t**5 + 4*t**4 + 14*t**3 - 56*t**2 + 59*t - 20 = 0?
-4, 1, 5
Find x, given that -6*x**2/7 - 62*x/7 - 20/7 = 0.
-10, -1/3
Factor 2*p**2/3 + 1846*p/3 + 1844/3.
2*(p + 1)*(p + 922)/3
Suppose -2*o**5 + 772*o**4 - 72930*o**3 - 304200*o**2 = 0. What is o?
-4, 0, 195
Find x such that 2*x**5/19 + 2*x**4/19 - 18*x**3/19 - 10*x**2/19 + 32*x/19 + 24/19 = 0.
-3, -1, 2
Factor f**4/5 + 36*f**3/5 + 57*f**2 - 722*f/5.
f*(f - 2)*(f + 19)**2/5
Find t such that t**3/4 + 5*t**2/2 + 21*t/4 = 0.
-7, -3, 0
Suppose m**5/2 + 7*m**4/8 - 9*m**3/4 - m**2/2 + 7*m/4 - 3/8 = 0. What is m?
-3, -1, 1/4, 1
Suppose -16*l**5/3 + 152*l**4 - 219*l**3 + 244*l**2/3 - 9*l = 0. Calculate l.
0, 1/4, 1, 27
Determine n so that 4*n**4 - 212*n**3 + 804*n**2 - 988*n + 392 = 0.
1, 2, 49
Factor -3*c**3/4 - 3*c**2/4 + 9*c/2.
-3*c*(c - 2)*(c + 3)/4
Factor 7*d**3 + 5311*d**2 - 1518*d.
d*(d + 759)*(7*d - 2)
Factor 5*i**5 - 30*i**4 + 70*i**3 - 80*i**2 + 45*i - 10.
5*(i - 2)*(i - 1)**4
Determine r so that 3*r**5 + 9*r**4 - 93*r**3 + 195*r**2 - 162*r + 48 = 0.
-8, 1, 2
Factor -2*l**3/13 - 40*l**2/13 - 106*l/13 - 68/13.
-2*(l + 1)*(l + 2)*(l + 17)/13
Solve 50*g**4/7 + 80*g**3 + 1278*g**2/7 - 1304*g/7 + 40 = 0 for g.
-7, -5, 2/5
Find f, given that -f**2/3 + 6100*f/3 - 9302500/3 = 0.
3050
Factor 2*h**2/3 - 2600*h + 2535000.
2*(h - 1950)**2/3
Find v, given that 3*v**5/8 - 3*v**4/4 = 0.
0, 2
Factor 5*y**3 - 115*y**2 - 245*y - 125.
5*(y - 25)*(y + 1)**2
Determine f, given that -2*f**3 + 578*f**2 + 2*f - 578 = 0.
-1, 1, 289
Let 2*t**5/17 - 84*t**4/17 + 316*t**3/17 - 464*t**2/17 + 18*t - 76/17 = 0. What is t?
1, 38
Factor 5*u**2 - 1040*u - 1045.
5*(u - 209)*(u + 1)
Factor 2*c**3/5 + 12*c**2/5 + 6*c/5 - 4.
2*(c - 1)*(c + 2)*(c + 5)/5
Determine n so that -2*n**3/3 - 7168*n**2/3 + 2390*n = 0.
-3585, 0, 1
Factor 3*z**3/2 - 9*z**2 + 33*z/2 - 9.
3*(z - 3)*(z - 2)*(z - 1)/2
Factor -7*c**3 - 562*c**2 - 1777*c - 462.
-(c + 3)*(c + 77)*(7*c + 2)
Solve 38*p**4/13 - 308*p**3/13 - 6*p**2/13 + 308*p/13 - 32/13 = 0.
-1, 2/19, 1, 8
Solve 2*o**2 + 42*o - 92 = 0.
-23, 2
Factor -5*a**2/12 + 2*a + 5/12.
-(a - 5)*(5*a + 1)/12
What is z in 4*z**3 + 4*z**2 - 100*z - 100 = 0?
-5, -1, 5
What is g in -60*g**4/7 - 354*g**3/7 - 96*g**2 - 486*g/7 - 108/7 = 0?
-3, -3/2, -1, -2/5
Solve 5*g**2 - 95*g = 0 for g.
0, 19
Factor 2*c**2/17 + 108*c/17 + 208/17.
2*(c + 2)*(c + 52)/17
What is o in -4*o**5 - 472*o**4 + 6100*o**3 - 18248*o**2 - 6096*o + 18720 = 0?
-130, -1, 1, 6
Factor b**4 + 25*b**3 + 22*b**2 - 48*b.
b*(b - 1)*(b + 2)*(b + 24)
Factor v**5 - 8*v**4 - 56*v**3 + 576*v**2 - 432*v - 3456.
(v - 6)**3*(v + 2)*(v + 8)
Factor 4*y**4 + 40*y**3 - 48*y**2 - 40*y + 44.
4*(y - 1)**2*(y + 1)*(y + 11)
Factor -2*y**2/7 + 2160*y/7 - 8608/7.
-2*(y - 1076)*(y - 4)/7
Find k, given that k**2/3 - 11*k - 34/3 = 0.
-1, 34
Factor 3*r**3/4 - 9*r**2/4 - 33*r/2 + 18.
3*(r - 6)*(r - 1)*(r + 4)/4
Factor -d**4/4 + 29*d**3/4 - 27*d**2/4 - 29*d/4 + 7.
-(d - 28)*(d - 1)**2*(d + 1)/4
Suppose -4*p**2 + 644*p/5 + 528/5 = 0. Calculate p.
-4/5, 33
Determine x so that 4*x**5/7 - 68*x**4/7 + 240*x**3/7 = 0.
0, 5, 12
Solve -g**4/6 + g**3/3 + 5*g**2/6 - g = 0 for g.
-2, 0, 1, 3
Find s, given that 2*s**4/7 + 16*s**3 + 516*s**2/7 + 288*s/7 - 918/7 = 0.
-51, -3, 1
Determine j so that 4*j**5 + 20*j**4 + 24*j**3 - 8*j**2 - 28*j - 12 = 0.
-3, -1, 1
Suppose k**3/4 + 249*k**2/2 - 999*k/4 + 125 = 0. What is k?
-500, 1
Solve -3*j**5 - 78*j**4 - 612*j**3 - 1608*j**2 - 1344*j = 0.
-14, -8, -2, 0
Factor 3*o**3/8 - 21*o**2/4 - 429*o/8 + 1521/2.
3*(o - 13)**2*(o + 12)/8
Factor -24*g**3 + 50*g**2 - 28*g + 2.
-2*(g - 1)**2*(12*g - 1)
Factor 2*g**4 - 8*g**3 + 10*g**2 - 4*g.
2*g*(g - 2)*(g - 1)**2
Suppose -3*h**3 - 48*h**2 - 195*h - 150 = 0. Calculate h.
-10, -5, -1
Determine b, given that -5*b**4 - 15*b**3 + 5*b**2 + 15*b = 0.
-3, -1, 0, 1
Factor 2*i**2 - 400*i + 398.
2*(i - 199)*(i - 1)
Factor -2*s**2/3 - 15*s + 23/3.
-(s + 23)*(2*s - 1)/3
Find r, given that r**2 + 30*r - 31 = 0.
-31, 1
Factor 2*p**3/9 - 1174*p**2/9 + 174032*p/9 - 170528/3.
2*(p - 292)**2*(p - 3)/9
Solve -2*l**4/3 - 20*l**3/3 - 22*l**2 - 88*l/3 - 40/3 = 0 for l.
-5, -2, -1
Find c, given that 16*c**5/7 - 64*c**4/7 + 52*c**3/7 - 12*c**2/7 = 0.
0, 1/2, 3
Factor 4*i**3/3 - 1880*i**2/3.
4*i**2*(i - 470)/3
Factor 2*q**3 + 72*q**2 + 714*q + 2156.
2*(q + 7)**2*(q + 22)
Factor -2*r**5 - 34*r**4 + 36*r**3.
-2*r**3*(r - 1)*(r + 18)
Factor -n**2 + 94*n + 392.
-(n - 98)*(n + 4)
What is y in -2*y**4 + 8*y**3 + 22*y**2 + 12*y = 0?
-1, 0, 6
Determine g so that -8*g**2 + 1228*g - 612 = 0.
1/2, 153
Factor -2*x**4 + 151*x**3 - 3825*x**2 + 33125*x - 15625.
-(x - 25)**3*(2*x - 1)
Factor 12*u**2 + 237*u - 60.
3*(u + 20)*(4*u - 1)
Factor t**2 + 21*t.
t*(t + 21)
Solve -3*z**5 + 12*z**4 - 9*z**3 - 12*z**2 + 12*z = 0.
-1, 0, 1, 2
Factor f**3/2 + 17*f**2/2 + 48*f + 90.
(f + 5)*(f + 6)**2/2
Factor -5*b**4 - 103665*b**3 - 716428815*b**2 - 1650413180155*b.
-5*b*(b + 6911)**3
Find c such that -3*c**4 - 36*c**3 + 87*c**2 + 36*c - 84 = 0.
-14, -1, 1, 2
Let -2*x**4/7 - 44*x**3/7 - 32*x**2/7 + 204*x/7 - 18 = 0. Calculate x.
-21, -3, 1
Factor 3*f**4 + 21*f**3 - 84*f**2 + 60*f.
3*f*(f - 2)*(f - 1)*(f + 10)
Find n, given that -2*n**3/3 - 70*n**2/3 - 814*n/3 - 3146/3 = 0.
-13, -11
Find r such that -3*r**3 + 3*r**2 + 27*r - 27 = 0.
-3, 1, 3
Solve 2*i**5/3 + 10*i**4/3 + 4*i**3/3 - 40*i**2/3 - 16*i = 0.
-3, -2, 0, 2
Let -3*h**4 - 1146*h**3 - 108291*h**2 + 220032*h - 110592 = 0. What is h?
-192, 1
Determine b so that 4*b**3/11 + 54*b**2/11 + 14*b/11 - 156/11 = 0.
-13, -2, 3/2
Factor 3*w**3 - 129*w**2 + 126*w.
3*w*(w - 42)*(w - 1)
Factor -a**3/5 + 3188*a**2/5 + 6379*a/5 + 638.
-(a - 3190)*(a + 1)**2/5
Factor 2*q**3 + 40*q**2 + 202*q + 260.
2*(q + 2)*(q + 5)*(q + 13)
Let 13*a**5 + 67*a**4 + 114*a**3 + 68*a**2 + 8*a = 0. What is a?
-2, -1, -2/13, 0
Factor -c**2 + 90*c - 2025.
-(c - 45)**2
Factor -q**5/2 + 16*q**4 - 191*q**3 + 1008*q**2 - 3969*q/2.
-q*(q - 9)**2*(q - 7)**2/2
Factor -z**2/2 - z/2 + 1.
-(z - 1)*(z + 2)/2
Find d, given that -d**3/4 - 111*d**2/4 - 756*d + 784 = 0.
-56, 1
Factor -2*f**3/5 - 10*f**2 - 94*f/5 - 46/5.
-2*(f + 1)**2*(f + 23)/5
Suppose -25*t**5 + 85*t**4 - 30*t**3 = 0. What is t?
0, 2/5, 3
Factor 4*n**4 - 1684*n**3 + 10008*n**2 - 19952*n + 13280.
4*(n - 415)*(n - 2)**3
Determine d so that 70*d**4 + 1194*d**3 + 5668*d**2 + 4800*d + 256 = 0.
-8, -1, -2/35
Determine c so that -5*c**2 - 410*c + 840 = 0.
-84, 2
Factor -s**3/6 - 37*s**2 - 435*s/2 - 324.
-(s + 3)**2*(s + 216)/6
Determine j so that j**4/4 + j**3/4 - 17*j**2/4 - 21*j/4 + 9 = 0.
-3, 1, 4
Factor -2*r**2/3 - 484*r - 87846.
-2*(r + 363)**2/3
Let g**3/2 - 90*g**2 - 733*g/2 - 276 = 0. Calculate g.
-3, -1, 184
Determine b, given that -2*b**5/7 + 12*b**4/7 + 30*b**3/7 + 16*b**2/7 = 0.
-1, 0, 8
Find q such that -125*q**5/4 - 4425*q**4/4 + 7295*q**3/4 - 3867*q**2/4 + 333*q/2 = 0.
-37, 0, 2/5, 3/5
Solve -3*j**4 - 97*j**3 + 69*j**2 + 97*j - 66 = 0 for j.
-33, -1, 2/3, 1
Suppose 2*o**5/9 - 118*o**4/9 + 112*o**3/9 + 232*o**2/9 = 0. Calculate o.
-1, 0, 2, 58
Factor t**4/4 + 7*t**3/4 + 17*t**2/4 + 17*t/4 + 3/2.
(t + 1)**2*(t + 2)*(t + 3)/4
Factor 2*w**4 + 56*w**3 - 126*w**2 - 180*w.
2*w*(w - 3)*(w + 1)*(w + 30)
Let 3*v**2 - 6*v - 24 = 0. Calculate v.
-2, 4
Factor 44*w**3 + 1884*w**2 - 4304*w + 720.
4*(w - 2)*(w + 45)*(11*w - 2)
Factor 4*g**2 + 6420*g.
4*g*(g + 1605)
Let -u**4/6 + 2*u**3/3 - 5*u**2/6 + u/3 = 0. What is u?
0, 1, 2
Factor 3*f**2 + 12*f.
3*f*(f + 4)
Factor q**4/2 + 10*q**3 + 117*q**2/2 + 89*q + 40.
(q + 1)**2*(q + 8)*(q + 10)/2
Suppose h**4 - 16*h**3 + 29*h**2 - 14*h = 0. What is h?
0, 1, 14
Factor -5*r**2 + 95*r - 240.
-5*(r - 16)*(r - 3)
Determine s, given that 21*s**4/5 + 3*s**3 - 18*s**2 - 12*s + 24/5 = 0.
-2, -1, 2/7, 2
Factor -92*q**2 + 152*q/7 + 96/7.
-4*(7*q + 2)*(23*q - 12)/7
Factor -x**5/6 - 11*x**4 - 64*x**3/3.
-x**3*(x + 2)*(x + 64)/6
What is q in -1631461442*q**4 - 77228944*q**3 - 1370928*q**2 - 10816*q - 32 = 0?
-2/169
Solve 3*p**2 + 681*p - 3480 = 0.
-232, 5
Factor 5*s**3 + 20*s**2 - 25