/3 + 28 = 0. Calculate t.
-7, 6
Factor k**3/3 - 8*k**2 - 9*k + 50/3.
(k - 25)*(k - 1)*(k + 2)/3
Solve 4*c**4/7 - 10*c**3/7 - 4*c**2 + 94*c/7 - 60/7 = 0.
-3, 1, 2, 5/2
Factor i**5 - 14*i**4 - 16*i**3 + 14*i**2 + 15*i.
i*(i - 15)*(i - 1)*(i + 1)**2
Find i such that 2*i**2/11 + 112*i/11 + 10 = 0.
-55, -1
Let -27*c**5/2 + 249*c**4/2 - 297*c**3 + 60*c**2 = 0. What is c?
0, 2/9, 4, 5
Factor -s**2 + 233*s - 232.
-(s - 232)*(s - 1)
Suppose -16*s**5 + 84*s**4 - 4*s**3 - 84*s**2 + 20*s = 0. Calculate s.
-1, 0, 1/4, 1, 5
Let v**2/5 + 27*v/5 - 468/5 = 0. What is v?
-39, 12
Let -44*x**3 + 1912*x**2 + 1056*x = 0. What is x?
-6/11, 0, 44
Let -2*n**5/13 + 2*n**4/13 + 2*n**3/13 - 2*n**2/13 = 0. Calculate n.
-1, 0, 1
Factor 2*l**3/13 - 18*l**2/13 + 48*l/13 - 40/13.
2*(l - 5)*(l - 2)**2/13
Factor -5*m**3 - 50*m**2 + 85*m + 330.
-5*(m - 3)*(m + 2)*(m + 11)
Factor -2*v**3/7 - 44*v**2/7 - 38*v/7 + 12.
-2*(v - 1)*(v + 2)*(v + 21)/7
Factor -c**4/9 - 88*c**3/9 - 86*c**2/3 - 256*c/9 - 85/9.
-(c + 1)**3*(c + 85)/9
Factor d**2 + 80*d - 81.
(d - 1)*(d + 81)
Factor 7*q**2/3 + 145*q/3 - 14.
(q + 21)*(7*q - 2)/3
Find l such that -l**2/2 + 131*l/2 = 0.
0, 131
Suppose 2*m**4 - 92*m**3 + 82*m**2 + 368*m - 360 = 0. Calculate m.
-2, 1, 2, 45
Factor -4*h**2/9 - 11672*h/3 - 8514724.
-4*(h + 4377)**2/9
Let -45*o**4 + 195*o**3 + 250*o**2 - 540*o + 200 = 0. What is o?
-2, 2/3, 5
Let -22*u**3/15 - 6*u**2/5 + 16*u/5 - 8/15 = 0. What is u?
-2, 2/11, 1
Suppose 2*m**2 + 276*m - 1430 = 0. Calculate m.
-143, 5
Suppose -w**5 - 6*w**4 - 9*w**3 - 4*w**2 = 0. What is w?
-4, -1, 0
Factor 4*t**2/7 + 26496*t/7 + 43877376/7.
4*(t + 3312)**2/7
Let -2*n**4/9 + 48*n**3 - 22892*n**2/9 - 5232*n - 23762/9 = 0. Calculate n.
-1, 109
Factor 5*r**3 + 95*r**2 + 80*r - 180.
5*(r - 1)*(r + 2)*(r + 18)
Factor -r**5/2 - 77*r**4/2 - 1040*r**3 - 13100*r**2 - 79000*r - 185000.
-(r + 10)**4*(r + 37)/2
Find n, given that 2*n**5/3 - 20*n**4/3 - 100*n**3/3 - 160*n**2/3 - 110*n/3 - 28/3 = 0.
-1, 14
Let -4*d**5 + 44*d**4 - 172*d**3 + 292*d**2 - 224*d + 64 = 0. Calculate d.
1, 4
Factor -2*p**3 - 24*p**2 + 26*p.
-2*p*(p - 1)*(p + 13)
Determine g so that -g**3/8 - 9*g**2/4 - 81*g/8 = 0.
-9, 0
Factor -2*a**3/9 + 12478*a**2/9 + 24962*a/9 + 12482/9.
-2*(a - 6241)*(a + 1)**2/9
What is f in 16*f**4/3 - 164*f**3/3 - 160*f**2/3 + 308*f/3 = 0?
-7/4, 0, 1, 11
Factor 3*h**2/7 - 7470*h/7 + 4650075/7.
3*(h - 1245)**2/7
Factor 111*c**4 + 336*c**3 + 231*c**2 + 6*c.
3*c*(c + 1)*(c + 2)*(37*c + 1)
Solve 12996*a**4 + 24852*a**3 - 41243*a**2 + 3470*a - 75 = 0.
-3, 5/114, 1
Solve 2*d**3/13 + 262*d**2/13 - 538*d/13 - 798/13 = 0 for d.
-133, -1, 3
Factor 5*h**4 - 220*h**3 + 3140*h**2 - 15840*h + 25920.
5*(h - 18)**2*(h - 4)**2
Factor 6694*w**2 - 6690*w - 4.
2*(w - 1)*(3347*w + 2)
What is x in 14*x**3/5 - 82*x**2/5 + 20*x + 16/5 = 0?
-1/7, 2, 4
Factor -3*o**3/5 - 1293*o**2/5 - 1533*o - 1275.
-3*(o + 1)*(o + 5)*(o + 425)/5
What is s in -5*s**4 + 400*s**3 - 10920*s**2 + 108160*s - 175760 = 0?
2, 26
What is z in 5*z**5 - 5*z**4 - 10*z**3 + 10*z**2 + 5*z - 5 = 0?
-1, 1
Factor o**2 + 9*o.
o*(o + 9)
Factor 4*s**5 - 8*s**3 + 4*s.
4*s*(s - 1)**2*(s + 1)**2
Determine b, given that 4*b**2 + 912*b + 51984 = 0.
-114
Factor -p**2/3 - 2*p.
-p*(p + 6)/3
Let r**5 + 697*r**4 + 120403*r**3 - 365401*r**2 + 366800*r - 122500 = 0. Calculate r.
-350, 1
Factor -s**2/5 + 24*s/5 + 81/5.
-(s - 27)*(s + 3)/5
Find x, given that 4*x**5 - 32*x**4 - 96*x**3 + 152*x**2 + 92*x - 120 = 0.
-3, -1, 1, 10
Factor -20*a**3 + 15*a**2 + 5*a.
-5*a*(a - 1)*(4*a + 1)
Suppose -4*h**3 - 96*h**2 + 436*h - 336 = 0. Calculate h.
-28, 1, 3
Determine p so that -p**3/3 - 4*p**2 + 9*p - 14/3 = 0.
-14, 1
Find k such that 2*k**2/9 - 50*k/9 - 52/9 = 0.
-1, 26
Factor 5*v**3 - 445*v**2 + 7000*v + 137500.
5*(v - 50)**2*(v + 11)
Let 8*n**4 - 78*n**3 - 124*n**2 + 150*n + 44 = 0. Calculate n.
-2, -1/4, 1, 11
Factor -6*z**3/5 + 278*z**2 - 80272*z/5 - 26912/5.
-2*(z - 116)**2*(3*z + 1)/5
Determine i, given that -125*i**4 - 8375*i**3 - 31480*i**2 + 1340*i + 5040 = 0.
-63, -4, -2/5, 2/5
Suppose -2*y**3 + 696*y**2 - 60552*y = 0. Calculate y.
0, 174
Suppose -2*v**3 - 24*v**2 - 70*v - 48 = 0. What is v?
-8, -3, -1
Solve 3*n**3/5 + 171*n**2/5 - 174*n/5 = 0.
-58, 0, 1
Suppose l**4 - l**3 - 18*l**2 + 52*l - 40 = 0. Calculate l.
-5, 2
What is a in 5*a**3 + 205*a**2 + 1760*a - 7260 = 0?
-22, 3
What is m in -32*m**5/5 + 368*m**4/5 - 434*m**3/5 - 98*m**2 + 304*m/5 - 8 = 0?
-1, 1/4, 2, 10
Find j, given that j**5 - 5*j**4 + 3*j**3 + 9*j**2 = 0.
-1, 0, 3
Solve -i**5 - 29*i**4/9 - 11*i**3/3 - 5*i**2/3 - 2*i/9 = 0.
-1, -2/9, 0
Factor 3*l**5 + 3*l**4 - 3*l**3 - 3*l**2.
3*l**2*(l - 1)*(l + 1)**2
Determine u so that 2*u**4/17 - 20*u**3/17 - 182*u**2/17 + 1640*u/17 + 1800/17 = 0.
-9, -1, 10
Factor -145*k**2 - 125*k + 20.
-5*(k + 1)*(29*k - 4)
Factor -k**4/8 - 11*k**3/4 - 27*k**2/2 - 25*k - 16.
-(k + 2)**3*(k + 16)/8
Determine o, given that 3*o**3 - 207*o**2 - 1323*o + 208887 = 0.
-29, 49
Suppose -2*w**5/3 - 26*w**4/3 - 88*w**3/3 + 32*w**2/3 + 128*w + 96 = 0. What is w?
-6, -2, -1, 2
Determine f so that -f**3 - 8*f**2 + f + 8 = 0.
-8, -1, 1
Determine y so that 243*y**5 + 9747*y**4 + 894*y**3 - 7516*y**2 - 3048*y - 320 = 0.
-40, -2/3, -2/9, 1
Let 2*c**2/9 - 266*c/9 - 60 = 0. What is c?
-2, 135
Determine r so that 98*r**4 - 420*r**3 + 96*r**2 + 64*r = 0.
-2/7, 0, 4/7, 4
Determine a, given that a**4/3 + 11*a**3/3 + 8*a**2 = 0.
-8, -3, 0
Determine g so that -60*g**5 - 365*g**4 + 30*g**3 + 365*g**2 + 30*g = 0.
-6, -1, -1/12, 0, 1
Factor -s**4/2 - 7*s**3/2 + 15*s**2 - 2*s - 20.
-(s - 2)**2*(s + 1)*(s + 10)/2
Let 4*k**4/3 + 12*k**3 + 56*k**2/3 = 0. Calculate k.
-7, -2, 0
Find m such that 5*m**5/4 + 219*m**4/2 + 4967*m**3/2 + 3719*m**2 + 1677*m/4 - 1849/2 = 0.
-43, -1, 2/5
Suppose q**4 + 6*q**3 - 37*q**2 - 186*q - 144 = 0. What is q?
-8, -3, -1, 6
Find c, given that 4*c**2/3 - 704*c/3 + 30976/3 = 0.
88
Solve 2*b**4 - 482*b**3 + 27806*b**2 + 149322*b + 121032 = 0.
-4, -1, 123
Factor 5*f**2/4 + 5*f + 5.
5*(f + 2)**2/4
Let 9*v**3 + 123*v**2 + 180*v = 0. What is v?
-12, -5/3, 0
Suppose 4*x**2 + 10668*x - 21352 = 0. Calculate x.
-2669, 2
Determine u so that 2*u**5/7 + 72*u**4/7 - 158*u**3/7 - 220*u**2/7 + 312*u/7 + 304/7 = 0.
-38, -1, 2
Solve y**5/8 - 11*y**4/8 - 17*y**3/4 + 13*y**2 = 0.
-4, 0, 2, 13
Solve -t**2 - 30*t + 451 = 0 for t.
-41, 11
Factor -2*l**2/3 - 16*l/3 - 32/3.
-2*(l + 4)**2/3
Determine r so that 3*r**5 - 600*r**4 + 29394*r**3 + 60600*r**2 + 30603*r = 0.
-1, 0, 101
Let -u**2/5 + 31*u/5 + 66/5 = 0. Calculate u.
-2, 33
Solve 5*j**3 - 145*j**2 + 795*j + 945 = 0.
-1, 9, 21
Solve -5*v**4 - 50*v**3 - 85*v**2 + 140*v = 0 for v.
-7, -4, 0, 1
Determine p, given that p**2/6 - 7*p/6 - 115 = 0.
-23, 30
Solve -4*f**2 + 108*f - 704 = 0 for f.
11, 16
Find g such that -2*g**5/9 - 10*g**4/9 + 8*g**3 - 32*g**2/9 - 256*g/9 + 32 = 0.
-9, -2, 2
Find k such that k**2 + 48*k + 576 = 0.
-24
Determine i so that -i**2/9 + i - 14/9 = 0.
2, 7
Solve 2*u**4 - 10*u**3 + 10*u**2 + 10*u - 12 = 0.
-1, 1, 2, 3
Factor m**2 - 118*m + 117.
(m - 117)*(m - 1)
Find f, given that f**2 - 27*f = 0.
0, 27
Solve 3*q**4 - 225*q**3 + 4323*q**2 - 3663*q - 8214 = 0.
-1, 2, 37
Let -o**3 + 62*o**2 + 491*o - 552 = 0. What is o?
-8, 1, 69
Let -t**2/4 - 14*t - 196 = 0. What is t?
-28
Let 41*s**2 - 139*s/3 + 16/3 = 0. Calculate s.
16/123, 1
Factor -5*w**3 + 200*w**2.
-5*w**2*(w - 40)
Factor 2*m**5/17 - 100*m**4/17 + 1434*m**3/17 - 4600*m**2/17 + 4232*m/17.
2*m*(m - 23)**2*(m - 2)**2/17
What is c in 3575*c**2 + 15*c = 0?
-3/715, 0
Factor 4*k**3/3 + 88*k**2/9 + 28*k/9.
4*k*(k + 7)*(3*k + 1)/9
Let 3*y**4 + 15*y**3 - 24*y**2 - 36*y = 0. What is y?
-6, -1, 0, 2
Factor 3*u**3 + 21*u**2 - 207*u + 351.
3*(u - 3)**2*(u + 13)
Factor -3*x**2/4 + 174*x - 10092.
-3*(x - 116)**2/4
What is x in 7*x**3 + 2*x**2 = 0?
-2/7, 0
Suppose 2*t**4/5 + 4*t**3/5 - 96*t**2/5 - 448*t/5 - 512/5 = 0. Calculate t.
-4, -2, 8
Factor 13*b**5 + 53*b**4/2 + 14*b**3 + b**2/2.
b**2*(b + 1)**2*(26*b + 1)/2
Factor -5*d**2 - 800*d - 12155.
-5*(d + 17)*(d + 143)
Determine p, given that 4*p**5 + 12*p**4 + 4*p**3 - 12*p**2 - 8*p = 0.
-2, -1, 0, 1
Suppose -25*n**2 + 27785*n - 11110 = 0. What is n?
2/5, 1111
Let 2*k**2/17 + 3208*k/17 + 1286408/17 = 0. Calculate k.
-802
Factor 4*q**4 + 164*q**3 - 904*q**2 + 736*q.
4*q*(q - 4)