*b**5 + 64*b**4 + 112*b**3.
4*b**3*(b + 2)*(b + 14)
Solve -74*t**2/3 + 226*t/9 - 4/9 = 0.
2/111, 1
Suppose -4*f**5 - 12*f**4 + 12*f**3 + 44*f**2 + 24*f = 0. Calculate f.
-3, -1, 0, 2
What is x in x**4/4 + 45*x**3/4 + 483*x**2/4 - 529*x/4 = 0?
-23, 0, 1
Find w, given that -w**5/4 - 3*w**4/4 + 5*w**3/2 = 0.
-5, 0, 2
Factor -2*n**2/5 - 64*n/5 - 54.
-2*(n + 5)*(n + 27)/5
Factor 26*t**2/5 - 2488*t/5 - 768/5.
2*(t - 96)*(13*t + 4)/5
Factor -2*h**2/11 - 240*h/11 - 7200/11.
-2*(h + 60)**2/11
Let -d**2 - 1195*d - 1194 = 0. Calculate d.
-1194, -1
Suppose m**3/2 - 57*m**2/2 + 783*m/2 + 841/2 = 0. Calculate m.
-1, 29
Find w such that w**3/9 + 694*w**2/9 + 1385*w/9 + 692/9 = 0.
-692, -1
Let 64*m**3/11 - 194*m**2/11 + 134*m/11 - 4/11 = 0. Calculate m.
1/32, 1, 2
Factor j**3/5 - 38*j**2 + 9212*j/5 - 17672/5.
(j - 94)**2*(j - 2)/5
Factor 2*b**3/5 - 8*b/5.
2*b*(b - 2)*(b + 2)/5
Determine b, given that 29*b**2 + 8*b = 0.
-8/29, 0
What is z in 2*z**5 - 3*z**4 - 29*z**3 - 31*z**2 + 3*z + 10 = 0?
-2, -1, 1/2, 5
Find k, given that -k**2/4 - 6*k - 11 = 0.
-22, -2
What is t in -5*t**2 + 85*t - 350 = 0?
7, 10
Determine q, given that -q**3/2 - 11*q**2/2 - 35*q/2 - 25/2 = 0.
-5, -1
Factor 126*o**3/11 + 758*o**2/11 + 1146*o/11 + 18/11.
2*(o + 3)**2*(63*o + 1)/11
Factor 4*k**4 + 128*k**3 + 124*k**2.
4*k**2*(k + 1)*(k + 31)
Let -35*c**4/4 - 117*c**3/4 - 129*c**2/4 - 47*c/4 = 0. What is c?
-47/35, -1, 0
Factor 50*u**3/9 - 14060*u**2/9 - 11272*u/9 - 752/3.
2*(u - 282)*(5*u + 2)**2/9
Suppose -2*k**5 + 100*k**4 + 542*k**3 + 440*k**2 = 0. What is k?
-4, -1, 0, 55
Factor -2*v**3/5 + 20*v**2 + 318*v/5.
-2*v*(v - 53)*(v + 3)/5
Determine q, given that 10*q**5 - 3246*q**4 + 1940*q**3 + 1296*q**2 = 0.
-2/5, 0, 1, 324
Let 5*n**4 + 65*n**3 + 110*n**2 = 0. Calculate n.
-11, -2, 0
Factor -p**4/4 + 5*p**3/2 - 3*p**2 - 18*p.
-p*(p - 6)**2*(p + 2)/4
Find h such that 3*h**4/2 - 1797*h**3/2 + 134097*h**2 + 136800*h - 270000 = 0.
-2, 1, 300
Factor -4*d**4 - 64*d**3 + 304*d**2 - 320*d.
-4*d*(d - 2)**2*(d + 20)
Suppose h**4/3 - 28*h**3/3 + 55*h**2 + 150*h = 0. What is h?
-2, 0, 15
Find o, given that -2*o**5/9 - 40*o**4/9 - 170*o**3/9 + 100*o**2/3 + 48*o = 0.
-12, -9, -1, 0, 2
Let 2*r**2/5 - 52*r/5 - 174/5 = 0. What is r?
-3, 29
Factor 20*f**2/11 - 1898*f/11 - 190/11.
2*(f - 95)*(10*f + 1)/11
Determine r, given that 4*r**3/3 - 28*r/3 + 8 = 0.
-3, 1, 2
Factor -3*f**4/8 - 1071*f**3/8 - 12015*f**2 - 23763*f/2.
-3*f*(f + 1)*(f + 178)**2/8
Solve 5*y**2 - 19660*y + 19655 = 0.
1, 3931
Factor 2*u**2/11 - 68*u + 6358.
2*(u - 187)**2/11
Factor -2*j**2/7 - 8*j/7 + 6.
-2*(j - 3)*(j + 7)/7
Factor 50*s**3/11 - 1590*s**2/11 + 1248*s/11 - 248/11.
2*(s - 31)*(5*s - 2)**2/11
Suppose a**4/5 + 29*a**3/5 + 154*a**2/5 = 0. Calculate a.
-22, -7, 0
Let 3*m**2/2 + 9438*m - 18879/2 = 0. What is m?
-6293, 1
Find s such that 2*s**3/11 + 20*s**2/11 - 200*s/11 - 2000/11 = 0.
-10, 10
Factor -4*v**5 - 84*v**4 + 180*v**3 - 92*v**2.
-4*v**2*(v - 1)**2*(v + 23)
Suppose 36*x**2 + 2*x = 0. Calculate x.
-1/18, 0
Factor 2*k**3/9 - 428*k**2/9 - 1754*k/9 + 2180/9.
2*(k - 218)*(k - 1)*(k + 5)/9
Suppose 2*f**5 + 106*f**4 + 1454*f**3 + 1246*f**2 - 1456*f - 1352 = 0. What is f?
-26, -1, 1
Factor 3*j**4 - 66*j**3 + 423*j**2 - 324*j - 2916.
3*(j - 9)**2*(j - 6)*(j + 2)
Solve 4*z**3 + 212*z**2 - 3488*z - 3696 = 0 for z.
-66, -1, 14
Let 2*j**5/13 - 118*j**4/13 + 558*j**3/13 - 986*j**2/13 + 760*j/13 - 216/13 = 0. What is j?
1, 2, 54
Factor 5*n**4 + 350*n**3 + 5765*n**2 - 12600*n + 6480.
5*(n - 1)**2*(n + 36)**2
Determine b so that b**5/5 + 11*b**4 + 444*b**3/5 + 1424*b**2/5 + 2048*b/5 + 1104/5 = 0.
-46, -3, -2
Factor 2*g**2/3 + 50*g/3 - 56.
2*(g - 3)*(g + 28)/3
Let 2*c**4/15 + 2*c**3/5 - 2*c**2/15 - 2*c/5 = 0. What is c?
-3, -1, 0, 1
What is b in 2*b**5 - 6*b**4 + 2*b**3 + 6*b**2 - 4*b = 0?
-1, 0, 1, 2
Factor 8*w**5 + 42*w**4 + 58*w**3 - 20*w**2 - 72*w - 16.
2*(w - 1)*(w + 2)**3*(4*w + 1)
Factor -2*z**4 + 38*z**3 + 2*z**2 - 38*z.
-2*z*(z - 19)*(z - 1)*(z + 1)
Solve 12*s**4 + 3*s**3 - 84*s**2 + 51*s + 18 = 0 for s.
-3, -1/4, 1, 2
Factor 2*h**2 + 4*h + 2.
2*(h + 1)**2
Suppose -4*u**2 + 15744*u - 15492096 = 0. What is u?
1968
Factor -3*v**3/5 - 552*v**2/5 - 219*v - 546/5.
-3*(v + 1)**2*(v + 182)/5
Factor -4*q**3 + 12*q**2 + 24*q - 32.
-4*(q - 4)*(q - 1)*(q + 2)
Solve -4*l**3/3 + 32*l**2/3 - 28*l + 24 = 0.
2, 3
Suppose -3*g**2/8 + 6813*g/4 - 15472323/8 = 0. What is g?
2271
Determine j so that 49*j**5 + 56*j**4 - 621*j**3 - 140*j**2 + 464*j + 192 = 0.
-4, -4/7, 1, 3
Factor 2*l**3 + 324*l**2 - 1322*l + 996.
2*(l - 3)*(l - 1)*(l + 166)
Solve -60*x**4 - 32*x**3/3 + 736*x**2/3 + 128*x/3 - 64/3 = 0 for x.
-2, -2/5, 2/9, 2
Solve -9*t**5/2 - 39*t**4/2 - 25*t**3/2 + 31*t**2/2 - 3*t = 0 for t.
-3, -2, 0, 1/3
Factor z**2/8 - 1535*z/4 + 2356225/8.
(z - 1535)**2/8
Factor -2*z**2 - 69*z + 146.
-(z - 2)*(2*z + 73)
Solve -c**2 - 4942*c - 6105841 = 0 for c.
-2471
Solve 2*m**4/13 + 6*m**3/13 + 2*m**2/13 - 6*m/13 - 4/13 = 0 for m.
-2, -1, 1
Find p such that p**2 - 25 = 0.
-5, 5
Factor k**3/8 - 25*k**2/2 - 103*k/2 - 52.
(k - 104)*(k + 2)**2/8
Factor 1444*i**2/5 + 2128*i/5 + 784/5.
4*(19*i + 14)**2/5
Factor -f**4/2 - 3*f**3 - 2*f**2 + 3*f + 5/2.
-(f - 1)*(f + 1)**2*(f + 5)/2
Factor -4*y**4 + 36*y**3.
-4*y**3*(y - 9)
Solve -15*w**3 + 3*w**2 + 291*w - 495 = 0 for w.
-5, 11/5, 3
Find f such that 3*f**5 + 12*f**4 + 3*f**3 - 42*f**2 - 60*f - 24 = 0.
-2, -1, 2
Let -5*b**2 + 315*b = 0. Calculate b.
0, 63
Factor -125*y**3 - 1175*y**2 - 455*y - 45.
-5*(y + 9)*(5*y + 1)**2
Let -9*u**5/2 - 105*u**4/2 - 279*u**3/2 + 213*u**2/2 + 144*u - 54 = 0. Calculate u.
-6, -1, 1/3, 1
What is s in -4*s**4 - 176*s**3 = 0?
-44, 0
Solve -a**5/8 - 2*a**4 - 11*a**3 - 24*a**2 - 18*a = 0.
-6, -2, 0
Suppose -2*x**3 - 40*x**2 - 154*x + 484 = 0. What is x?
-11, 2
Find t such that 3*t**4 - 117*t**3 - 246*t**2 = 0.
-2, 0, 41
Suppose 5*i**4 + 55*i**3 + 120*i**2 - 180*i = 0. Calculate i.
-6, 0, 1
Suppose z**2 + 16*z + 15 = 0. Calculate z.
-15, -1
Determine g, given that 20*g**4 - 308*g**3 + 360*g**2 + 464*g - 224 = 0.
-1, 2/5, 2, 14
Suppose -3*l**3 + 225*l**2 - 861*l + 639 = 0. Calculate l.
1, 3, 71
Factor -3*l**3 - 474*l**2 + 957*l - 480.
-3*(l - 1)**2*(l + 160)
Solve -15*l**3 - 35*l**2 - 25*l - 5 = 0 for l.
-1, -1/3
Let -26*i**2 - 226*i + 660 = 0. Calculate i.
-11, 30/13
Factor -j**5/6 - 13*j**4/6 + 5*j**3 - j**2/3 - 29*j/6 + 5/2.
-(j - 1)**3*(j + 1)*(j + 15)/6
Factor -l**2/4 + 1299*l/4 - 1297/2.
-(l - 1297)*(l - 2)/4
Factor -j**3 - 10*j**2 - 12*j + 72.
-(j - 2)*(j + 6)**2
Factor 2*v**5 - 4*v**3 + 2*v.
2*v*(v - 1)**2*(v + 1)**2
Factor -2*q**4/3 + 1532*q**3 - 2635802*q**2/3 - 1761800*q - 2645000/3.
-2*(q - 1150)**2*(q + 1)**2/3
Find i such that i**3/2 - 421*i**2/2 + 44099*i/2 + 44521/2 = 0.
-1, 211
Factor 25*k**4 - 580*k**3 + 3124*k**2 + 2784*k + 576.
(k - 12)**2*(5*k + 2)**2
Factor t**2/3 - 16*t/3 + 5.
(t - 15)*(t - 1)/3
Factor -c**4/4 - 4353*c**3 - 56845827*c**2/2 - 82483294977*c - 359049783034881/4.
-(c + 4353)**4/4
Factor -5*a**3 - 1630*a**2 - 131200*a + 268960.
-5*(a - 2)*(a + 164)**2
Let 3*m**5/5 + 44*m**4/5 + 72*m**3/5 - 130*m**2 + 693*m/5 - 162/5 = 0. Calculate m.
-9, 1/3, 1, 2
Factor 3*g**5 + 6*g**4 - 60*g**3 - 198*g**2 - 135*g.
3*g*(g - 5)*(g + 1)*(g + 3)**2
Factor 2*a**3/9 + 22*a**2/3 + 80*a/3 + 232/9.
2*(a + 2)**2*(a + 29)/9
Factor 7*m**2/4 - 43*m/4 + 3/2.
(m - 6)*(7*m - 1)/4
Factor -2*l**3/11 + 164*l**2/11 - 3362*l/11.
-2*l*(l - 41)**2/11
Suppose 4*o**2 + 124*o - 1064 = 0. Calculate o.
-38, 7
Factor 6*m**3 + 27*m**2 + 30*m + 9.
3*(m + 1)*(m + 3)*(2*m + 1)
Let 4*k**5 - 48*k**4 + 216*k**3 - 448*k**2 + 420*k - 144 = 0. What is k?
1, 3, 4
Suppose 3*m**5/2 - 10*m**4/3 - 23*m**3/6 + 7*m**2 + 14*m/3 - 4/3 = 0. What is m?
-1, 2/9, 2
Factor -c**3/4 - 61*c**2/8 - 60*c - 225/8.
-(c + 15)**2*(2*c + 1)/8
Factor -26*f**2/3 + 25*f/3 + 1/3.
-(f - 1)*(26*f + 1)/3
Factor 5*w**2 - 2620*w + 343220.
5*(w - 262)**2
Factor 4*j**5 - 32*j**4 - 4*j**3 + 32*j**2.
4*j**2*(j - 8)*(j - 1)*(j + 1)
Solve 2*m**2/13 - 138*m/13 + 1276/13 = 0 for m.
11, 58
Factor -g**3/6 + 17*g**2/2 - 225*g/2 + 625/6.
-(g - 25)**2*(g - 1)/6
Factor 2*m**3 - 224*m**2 + 1290*m - 1908.
2*(m - 106)*(m - 3)**2
Find b such that -2*b**5/13 - 48*b**4/13 + 102*b**3/13 - 4*b**2 = 0.
-26, 0, 1
Determine h so that -4*h**4/3 + 32*h**3 - 212*h**2 + 1504*h/