 = 0. Calculate x.
-2, -1, 1/2, 58
Factor -3*o**2 - 102*o - 435.
-3*(o + 5)*(o + 29)
Suppose 11*k**2/4 + 38*k - 7 = 0. What is k?
-14, 2/11
Let -32*s**5/11 - 208*s**4/11 - 50*s**3/11 + 288*s**2/11 + 54*s/11 - 108/11 = 0. Calculate s.
-6, -1, 3/4
Determine j, given that -2*j**3/7 + 1070*j**2/7 + 1072*j/7 = 0.
-1, 0, 536
Factor -m**3/2 - 92*m**2 + 187*m/2 + 185.
-(m - 2)*(m + 1)*(m + 185)/2
Factor 4*r**3 - 113*r**2 + 25*r + 84.
(r - 28)*(r - 1)*(4*r + 3)
Factor -c**3 + 46*c**2/3 + 11*c - 16/3.
-(c - 16)*(c + 1)*(3*c - 1)/3
Let -3*y**2/4 - 351*y/4 + 177/2 = 0. What is y?
-118, 1
Factor 2*n**3/7 - 12*n**2 - 176*n/7.
2*n*(n - 44)*(n + 2)/7
Let 2*c**5 + 18*c**4 + 14*c**3 - 90*c**2 + 56*c = 0. Calculate c.
-7, -4, 0, 1
Find a such that -2*a**3/11 + 12*a**2 = 0.
0, 66
Solve 5*c**3 - 50*c**2 - 3585*c - 6930 = 0.
-21, -2, 33
Determine f, given that 2*f**3 - 72*f**2 + 13824 = 0.
-12, 24
Determine k so that -1468898*k**2/5 - 20568*k/5 - 72/5 = 0.
-6/857
Factor 95*g**2 + 100*g.
5*g*(19*g + 20)
Let y**5 - 7*y**3 + 2*y**2 + 12*y - 8 = 0. What is y?
-2, 1, 2
Find k, given that -k**4/4 + 3*k**3/4 + 9*k**2/2 = 0.
-3, 0, 6
What is x in -4*x**5/3 + 100*x**4/3 - 508*x**3/3 + 1036*x**2/3 - 928*x/3 + 304/3 = 0?
1, 2, 19
Factor f**2 - 137*f.
f*(f - 137)
Let -y**4/4 - 29*y**3/4 - 7*y**2 = 0. Calculate y.
-28, -1, 0
Factor 5*k**2 + 30700*k + 47124500.
5*(k + 3070)**2
Factor 36*p**5 + 152*p**4 + 176*p**3 + 32*p**2.
4*p**2*(p + 2)**2*(9*p + 2)
Factor 2*x**2/25 - 288*x/25 - 58/5.
2*(x - 145)*(x + 1)/25
Factor l**4 + l**3 - 6*l**2 - 4*l + 8.
(l - 2)*(l - 1)*(l + 2)**2
What is d in -4*d**3 - 3*d**2 + 85*d + 150 = 0?
-15/4, -2, 5
Factor 9*u**2 - 330*u + 216.
3*(u - 36)*(3*u - 2)
Factor 3*k**4 + 39*k**3 - 138*k**2 + 96*k.
3*k*(k - 2)*(k - 1)*(k + 16)
Solve -100*d**5 + 180*d**4 - 61*d**3 - 18*d**2 - d = 0.
-1/10, 0, 1
Let r**2 - 377*r = 0. What is r?
0, 377
Factor -v**4/4 + v**3 - 4*v + 4.
-(v - 2)**3*(v + 2)/4
Solve -t**3/7 - 38*t**2/7 - 39*t + 252 = 0.
-21, 4
Determine h, given that 5*h**4/2 + 355*h**3 + 25205*h**2/2 = 0.
-71, 0
Factor -6*o**3/5 + 18*o**2/5 + 54*o/5 + 6.
-6*(o - 5)*(o + 1)**2/5
Factor -2*m**2 - 2404*m/9 - 1232/3.
-2*(m + 132)*(9*m + 14)/9
Solve k**4 - 8*k**3 - 74*k**2 + 360*k + 2025 = 0 for k.
-5, 9
Factor 5*z**4/4 + 5*z**3 + 15*z**2/4.
5*z**2*(z + 1)*(z + 3)/4
Factor 104*n**3 + 2910*n**2 - 6296*n + 120.
2*(n - 2)*(n + 30)*(52*n - 1)
Factor 3*s**2/7 - 162*s/7 - 48.
3*(s - 56)*(s + 2)/7
Determine t, given that t**5/4 - 3*t**4 + 11*t**3 - 21*t**2/2 - 45*t/4 + 27/2 = 0.
-1, 1, 3, 6
Suppose 5*b**3 - 5*b**2 - 1400*b + 9500 = 0. What is b?
-19, 10
Solve -5*l**4 - 95*l**3 - 275*l**2 + 1815*l = 0 for l.
-11, 0, 3
Factor v**4/11 - 5*v**3/11 - v**2 + 3*v - 18/11.
(v - 6)*(v - 1)**2*(v + 3)/11
Let -4*d**2 + 504*d - 15876 = 0. Calculate d.
63
Let 4*s**2/3 + 24*s + 108 = 0. Calculate s.
-9
What is o in 5*o**3 - 45*o**2 - 105*o - 55 = 0?
-1, 11
Factor 2*y**3/3 + 40*y**2/3 - 256*y/3 - 2048.
2*(y - 12)*(y + 16)**2/3
Factor 2048*u**3/9 + 128*u**2/3 + 2*u.
2*u*(32*u + 3)**2/9
Find r such that -5*r**3 - 80*r**2 - 75*r = 0.
-15, -1, 0
Factor -g**3/3 - g**2/2 + 13*g/2 + 10/3.
-(g - 4)*(g + 5)*(2*g + 1)/6
Determine y so that 2*y**5 - 84*y**4 - 374*y**3 + 248*y**2 + 1272*y + 736 = 0.
-4, -1, 2, 46
Factor -5*s**3 + 2035*s**2.
-5*s**2*(s - 407)
Factor 2*d**3/7 - 36*d**2/7 + 162*d/7 - 216/7.
2*(d - 12)*(d - 3)**2/7
Find z such that -5*z**2 + 855*z = 0.
0, 171
Let 15*q**4 + 63*q**3 + 30*q**2 - 72*q = 0. What is q?
-3, -2, 0, 4/5
Suppose -2*f**4/7 + 20*f**3 - 534*f**2/7 + 396*f/7 = 0. Calculate f.
0, 1, 3, 66
Suppose 5*w**5 + 35*w**4 + 25*w**3 - 155*w**2 - 150*w = 0. What is w?
-5, -3, -1, 0, 2
Determine g so that -6*g**2/7 - 1528*g/7 - 2530/7 = 0.
-253, -5/3
Factor 2*d**3/15 - 238*d**2/15 + 1606*d/3 - 3630.
2*(d - 55)**2*(d - 9)/15
Find g, given that 775*g**4 + 3770*g**3/3 + 545*g**2/3 - 920*g/3 - 20/3 = 0.
-1, -2/93, 2/5
Find j such that j**2 - 260*j + 259 = 0.
1, 259
Solve w**2/6 + 25*w/6 - 9 = 0.
-27, 2
Suppose b**2/4 + 57*b/4 = 0. Calculate b.
-57, 0
Suppose f**2 + 602*f + 90601 = 0. What is f?
-301
Find i such that i**5/4 - 15*i**4/4 + 61*i**3/4 - 21*i**2/4 - 49*i/2 = 0.
-1, 0, 2, 7
Factor m**2/6 + 11*m/6 - 2.
(m - 1)*(m + 12)/6
Let -2*h**5/9 + 4*h**3/9 - 2*h/9 = 0. Calculate h.
-1, 0, 1
Factor -5*h**2/2 - 150*h + 640.
-5*(h - 4)*(h + 64)/2
Find v, given that 12*v**5 + 99*v**4 + 69*v**3 - 321*v**2 - 513*v - 210 = 0.
-7, -5/4, -1, 2
Determine j so that -4*j**3 - 1216*j**2 - 2420*j - 1208 = 0.
-302, -1
Solve 4*d**5 - 28*d**4 + 60*d**3 - 20*d**2 - 64*d + 48 = 0.
-1, 1, 2, 3
Factor 4*i**4 - 280*i**3 + 4896*i**2 + 280*i - 4900.
4*(i - 35)**2*(i - 1)*(i + 1)
Determine t so that 2*t**2 + 34*t + 32 = 0.
-16, -1
Factor -4*m**2 + 644*m.
-4*m*(m - 161)
Determine a, given that 2*a**5/5 - 124*a**4/5 + 384*a**3 + 124*a**2/5 - 1922*a/5 = 0.
-1, 0, 1, 31
Factor 5*b**4 + 220*b**3 + 2420*b**2.
5*b**2*(b + 22)**2
Suppose -10*t**3/9 + 14*t**2/9 - 4*t/9 = 0. Calculate t.
0, 2/5, 1
Factor -3*m**2/2 + 57*m + 117/2.
-3*(m - 39)*(m + 1)/2
Factor -k**4/3 - 23*k**3/3 - 22*k**2/3.
-k**2*(k + 1)*(k + 22)/3
Factor 2*s**4 + 26*s**3 - 860*s**2 + 4672*s - 3840.
2*(s - 8)**2*(s - 1)*(s + 30)
Determine n, given that -2*n**5/9 + 8*n**4 + 94*n**3 - 28484*n**2/9 - 83720*n/3 + 67600 = 0.
-13, 2, 30
Suppose p**2 - 190*p - 191 = 0. Calculate p.
-1, 191
Let 16*a**5/3 + 82*a**4/3 + 154*a**3/3 + 130*a**2/3 + 46*a/3 + 4/3 = 0. Calculate a.
-2, -1, -1/8
Solve o**4/4 - 105*o**3/4 + 2703*o**2/4 + 2809*o/4 = 0 for o.
-1, 0, 53
Let -4*v**5 - 48*v**4 - 64*v**3 + 408*v**2 + 68*v - 360 = 0. What is v?
-9, -5, -1, 1, 2
Factor -4*t**4 - 52*t**3 - 40*t**2 + 96*t.
-4*t*(t - 1)*(t + 2)*(t + 12)
Find y, given that y**2 - 12*y + 20 = 0.
2, 10
Determine c so that -2*c**2 + 141*c - 70 = 0.
1/2, 70
Factor 3*b**4 + 120*b**3 + 444*b**2 + 432*b.
3*b*(b + 2)**2*(b + 36)
Let r**4/4 + r**3/2 - 15*r**2/4 + r + 5 = 0. Calculate r.
-5, -1, 2
Factor -2*y**2 + 1516*y - 287282.
-2*(y - 379)**2
Let 39*a**2/5 - 513*a/5 + 78/5 = 0. Calculate a.
2/13, 13
Find a such that 14*a**3/9 - 2110*a**2/9 + 3568*a/9 + 1192/9 = 0.
-2/7, 2, 149
Determine x, given that -x**4/3 + 6*x**3 - 36*x**2 + 238*x/3 - 49 = 0.
1, 3, 7
Factor -v**3/2 - 141*v**2/2 + 288*v - 290.
-(v - 2)**2*(v + 145)/2
Determine i, given that i**5/3 - 16*i**4/3 + 53*i**3/3 - 62*i**2/3 + 8*i = 0.
0, 1, 2, 12
Factor 2*s**2/3 - 1372*s + 4114/3.
2*(s - 2057)*(s - 1)/3
Factor -r**3/7 + 209*r**2/7 + r/7 - 209/7.
-(r - 209)*(r - 1)*(r + 1)/7
Factor 65*n**3 + 445*n**2 + 710*n - 120.
5*(n + 3)*(n + 4)*(13*n - 2)
Suppose 4*h**3/3 - 19*h**2 - 46*h/3 + 5 = 0. What is h?
-1, 1/4, 15
Determine y so that y**3 + 16*y**2 + 20*y - 400 = 0.
-10, 4
Suppose -2*h**2/7 - 72*h + 506/7 = 0. Calculate h.
-253, 1
Suppose 2*h**4/7 - 148*h**3/7 + 2586*h**2/7 + 5624*h/7 + 2888/7 = 0. What is h?
-1, 38
Let -m**4/3 + 4*m**3/3 - m**2/3 - 2*m = 0. What is m?
-1, 0, 2, 3
Factor -5*n**2 - 17210*n - 14809205.
-5*(n + 1721)**2
Factor -m**2 + 40*m - 76.
-(m - 38)*(m - 2)
Let -6*y**5 + 27*y**4 - 30*y**3 + 9*y**2 = 0. Calculate y.
0, 1/2, 1, 3
Factor -b**2/5 + 382*b/5 - 1137/5.
-(b - 379)*(b - 3)/5
Factor -2*z**2/3 - 196*z/9 + 22/3.
-2*(z + 33)*(3*z - 1)/9
Suppose 18*s**4/5 + 2166*s**3/5 + 4988*s**2/5 + 3784*s/5 + 944/5 = 0. What is s?
-118, -1, -2/3
Let 12*o**3/5 + 17006*o**2/5 + 2832*o/5 - 2834/5 = 0. What is o?
-1417, -1/2, 1/3
Let 3*g**5/2 + 21*g**4/4 + 9*g**3/2 - 3*g**2 - 6*g - 9/4 = 0. What is g?
-3/2, -1, 1
Find z, given that 76*z**3 + 312*z**2 - 348*z - 40 = 0.
-5, -2/19, 1
Solve 12*v**2 + 884*v - 296 = 0 for v.
-74, 1/3
What is n in 5*n**4 + 15*n**3 - 305*n**2 - 315*n = 0?
-9, -1, 0, 7
Factor -s**3 - 5*s**2 + 104*s.
-s*(s - 8)*(s + 13)
Factor -400*p**2 - 120*p - 9.
-(20*p + 3)**2
Solve 3*f**2 + 264*f + 5808 = 0 for f.
-44
Let -3*g**3/8 - 33*g**2/8 + 63*g/4 = 0. What is g?
-14, 0, 3
Factor 5*z**4 + 45*z**3 - 380*z - 480.
5*(z - 3)*(z + 2)**2*(z + 8)
Solve n**2/5 + 43*n/5 - 48 = 0.
-48, 5
Find z such that -2*z**2/5 - 44*z - 1210 = 0.
-55
Let -2*l**2 - 164*l - 3362 = 0. What is l?
-41
Factor -4*p**4 - 76*p**3 - 540*p**2 - 1700*p - 2000.
-4*(p + 4)*(p + 5)**3
Factor -2*w**3 - 302*w**2 + 2*w + 302.
-2*(w - 1)*(w + 1)*(w + 151)
Factor z**3/5 - 12*z**2/5 - z/5 + 12/5.
(z - 12)*(z - 1)*(z + 1)/5
Solve 3*n**5 + 48*n**4 - 435*n**3 + 1068