, 24
Factor 3*u**4 + 96*u**3 - 213*u**2 - 306*u.
3*u*(u - 3)*(u + 1)*(u + 34)
Factor -2*h**3/11 - 92*h**2/11 + 192*h/11.
-2*h*(h - 2)*(h + 48)/11
Suppose 2*u**4/15 - 1652*u**3/15 + 30360*u**2 - 8409500*u/3 + 8318750/3 = 0. Calculate u.
1, 275
Suppose 4*f**5/3 + 4*f**4 - 4*f**3 - 44*f**2/3 - 8*f = 0. What is f?
-3, -1, 0, 2
What is f in -2*f**2/9 - 20*f - 112 = 0?
-84, -6
Factor -2*i**3/9 - 4862*i**2/9.
-2*i**2*(i + 2431)/9
Factor -6*g**2/11 - 664*g/11 - 40.
-2*(g + 110)*(3*g + 2)/11
Factor -g**5 + 23*g**4 - 25*g**3 - 1275*g**2 - 2250*g.
-g*(g - 15)**2*(g + 2)*(g + 5)
Factor -178*p**2/9 - 4*p/9.
-2*p*(89*p + 2)/9
Factor 25*r**4 + 1795*r**3 + 3140*r**2 - 700*r.
5*r*(r + 2)*(r + 70)*(5*r - 1)
Solve 8*b**3/15 + 2*b**2/15 - 28*b/15 + 6/5 = 0 for b.
-9/4, 1
Solve -80*l**3 + 295*l**2 - 350*l + 135 = 0 for l.
1, 27/16
Let 20*l**5 - 35*l**4 - 5*l**3 + 35*l**2 - 15*l = 0. What is l?
-1, 0, 3/4, 1
Factor -p**5/7 - 10*p**4/7 - 24*p**3/7 - 22*p**2/7 - p.
-p*(p + 1)**3*(p + 7)/7
Factor 5*i**2 - 1605*i + 1600.
5*(i - 320)*(i - 1)
Find q, given that -4*q**5 - 48*q**4 + 28*q**3 + 1000*q**2 + 2448*q + 1760 = 0.
-11, -2, 5
Solve 5*s**3 + 5*s**2 - 40*s - 60 = 0.
-2, 3
Suppose f**2 - 11618*f + 33744481 = 0. What is f?
5809
Factor 472392*m**5 - 1863324*m**4 + 1785078*m**3 + 103035*m**2 + 1932*m + 12.
3*(m - 2)**2*(54*m + 1)**3
Let -3*y**3 + 171*y**2 + 354*y = 0. Calculate y.
-2, 0, 59
Factor -b**2/3 + 1094*b/3 + 365.
-(b - 1095)*(b + 1)/3
Let b**4/4 + 14*b**3 - 3*b**2/4 - 85*b/2 - 28 = 0. What is b?
-56, -1, 2
Solve -4*b**5/3 + 40*b**4/3 - 48*b**3 + 232*b**2/3 - 172*b/3 + 16 = 0.
1, 3, 4
Suppose 18*c**5 - 111*c**4 + 204*c**3 - 81*c**2 - 54*c = 0. What is c?
-1/3, 0, 3/2, 2, 3
Factor -n**3/4 - 23*n**2/2 + 47*n/4.
-n*(n - 1)*(n + 47)/4
Suppose -2*h**5 - 150*h**4/7 - 446*h**3/7 - 30*h**2 + 100*h/7 = 0. Calculate h.
-5, -1, 0, 2/7
Factor 5*d**4 - 205*d**3 - 1680*d**2.
5*d**2*(d - 48)*(d + 7)
Factor -4*n**2 + 576*n - 20736.
-4*(n - 72)**2
What is l in 2*l**2/3 + 38*l - 1340/3 = 0?
-67, 10
Factor -c**2/6 + 55*c/3 + 37/2.
-(c - 111)*(c + 1)/6
Find f, given that f**5 - 12*f**4 + 28*f**3 - 6*f**2 - 29*f + 18 = 0.
-1, 1, 2, 9
Suppose 4*q**3 + 96*q**2 - 364*q - 1080 = 0. Calculate q.
-27, -2, 5
Determine k, given that 3*k**5/5 + 57*k**4/5 + 189*k**3/5 + 27*k**2 = 0.
-15, -3, -1, 0
Find k, given that 8*k**2 + k = 0.
-1/8, 0
Solve -4*y**4/5 - 423*y**3/5 - 714*y**2/5 + 1453*y/5 - 312/5 = 0 for y.
-104, -3, 1/4, 1
Factor -o**3/7 - 10*o**2/7 + 24*o/7.
-o*(o - 2)*(o + 12)/7
Determine q so that -q**4/4 + 4*q**3 - 63*q**2/4 + 23*q - 11 = 0.
1, 2, 11
Solve -y**4/2 - 9*y**3 - 105*y**2/2 - 98*y = 0.
-7, -4, 0
Factor 2*o**3/11 - 42*o**2/11 + 288*o/11 - 640/11.
2*(o - 8)**2*(o - 5)/11
Determine v so that -v**3/5 + 2*v**2/5 + 8*v/5 = 0.
-2, 0, 4
Find i, given that 3*i**3 + 1173*i**2 - 1176*i = 0.
-392, 0, 1
Let -5*j**5 + 412*j**4/3 - 152*j**3/3 - 982*j**2/3 - 457*j/3 - 18 = 0. Calculate j.
-1, -1/3, -1/5, 2, 27
Let x**2/3 + 1756*x/3 - 1757/3 = 0. Calculate x.
-1757, 1
Solve -4*v**4/3 - 21*v**3/2 - 41*v**2/3 + 21*v/2 + 15 = 0 for v.
-6, -15/8, -1, 1
Factor z**2/10 - 23*z/5 + 529/10.
(z - 23)**2/10
Let i**4/10 - 1312*i**3/5 + 1291008*i**2/5 - 564600832*i/5 + 92594536448/5 = 0. Calculate i.
656
Factor -2*y**2/9 + 154*y/9.
-2*y*(y - 77)/9
Let 3*d**2 - 150*d - 153 = 0. What is d?
-1, 51
Factor d**4 + 5*d**3/2 - 3*d**2 - 10*d - 4.
(d - 2)*(d + 2)**2*(2*d + 1)/2
Suppose 4*c**2/9 - 572*c/9 - 680 = 0. Calculate c.
-10, 153
Let -50*l**5/19 - 130*l**4/19 + 88*l**3/19 + 488*l**2/19 + 448*l/19 + 128/19 = 0. What is l?
-2, -1, -4/5, 2
Factor u**5/4 - 3*u**4/2 + 9*u**3/4 + u**2 - 3*u.
u*(u - 3)*(u - 2)**2*(u + 1)/4
Factor 2*z**3 - 72*z**2 + 570*z + 1444.
2*(z - 19)**2*(z + 2)
Factor -2*j**2/13 - 48*j/13 - 238/13.
-2*(j + 7)*(j + 17)/13
Let -4*t**4 + 3848*t**3 - 929284*t**2 + 1847040*t - 921600 = 0. What is t?
1, 480
Factor -7*u**3/4 + u**2/2.
-u**2*(7*u - 2)/4
Solve 23328*q**5 + 42768*q**4 - 7560*q**3 + 428*q**2 - 8*q = 0.
-2, 0, 1/18
Solve 3*d**3 + 123*d**2 - 555*d - 675 = 0 for d.
-45, -1, 5
Determine f so that -2*f**2/7 - 458*f/7 + 2340/7 = 0.
-234, 5
Determine r so that r**2/3 + 2*r/3 - 5 = 0.
-5, 3
Factor g**3 + 39*g**2 + 414*g + 1296.
(g + 6)*(g + 9)*(g + 24)
Let 7*r**4 - 41*r**3 + 71*r**2 - 31*r - 6 = 0. Calculate r.
-1/7, 1, 2, 3
Factor -2*u**2/5 + 386*u/5 - 384/5.
-2*(u - 192)*(u - 1)/5
What is v in 4*v**2/3 + 20944*v/3 + 27415696/3 = 0?
-2618
Factor -g**2 + 57*g + 118.
-(g - 59)*(g + 2)
Determine d so that -d**3/4 - 15*d**2/2 - 48*d + 128 = 0.
-16, 2
Determine u, given that u**4/8 + 2*u**3 + 45*u**2/8 - 71*u/4 + 10 = 0.
-10, -8, 1
Let 4*y**3 - 12*y**2 + 8*y = 0. Calculate y.
0, 1, 2
Find c such that -c**2/2 + 73*c + 147/2 = 0.
-1, 147
Factor 3*a**2 + 744*a + 46128.
3*(a + 124)**2
Suppose 2*r**4 + 36*r**3 + 88*r**2 - 36*r - 90 = 0. Calculate r.
-15, -3, -1, 1
Factor -z**3/4 - 3291*z**2/4 + 6585*z/4 - 3293/4.
-(z - 1)**2*(z + 3293)/4
Factor -4*t**3 + 88*t**2 + 404*t + 312.
-4*(t - 26)*(t + 1)*(t + 3)
Factor 15*j**4 - 6*j**3 - 9*j**2.
3*j**2*(j - 1)*(5*j + 3)
Suppose -2*d**2/3 + 32*d - 384 = 0. Calculate d.
24
Factor 2*t**3/9 + 14*t**2/9 - 68*t/9 - 80/9.
2*(t - 4)*(t + 1)*(t + 10)/9
Determine m so that -2*m**3 + 184*m**2 - 4410*m + 8100 = 0.
2, 45
Suppose -i**2/6 + 625*i/3 - 390625/6 = 0. What is i?
625
Let 2*y**5 - 6*y**4 - 78*y**3 + 230*y**2 + 300*y = 0. What is y?
-6, -1, 0, 5
Factor -z**4/4 - 3*z**3/2 - 5*z**2/4.
-z**2*(z + 1)*(z + 5)/4
Let -196*p**3 + 56952*p**2 - 32496*p + 4640 = 0. Calculate p.
2/7, 290
Determine u, given that 18*u**5/5 + 222*u**4/5 - 688*u**3/5 + 96*u**2 = 0.
-15, 0, 4/3
Let 6*b**3/5 + 29*b**2/5 - 7*b/5 - 2 = 0. Calculate b.
-5, -1/2, 2/3
Solve t**2 + 56*t + 55 = 0.
-55, -1
Suppose m**5/3 + 2815*m**4/3 = 0. Calculate m.
-2815, 0
Factor 2*s**5/11 - 2*s**3/11.
2*s**3*(s - 1)*(s + 1)/11
Determine m, given that -2*m**2/9 + 56*m/9 - 6 = 0.
1, 27
Suppose -5*y**3 + 95*y**2 + 205*y + 105 = 0. What is y?
-1, 21
Factor 2*b**2 - 16*b + 32.
2*(b - 4)**2
Find p such that p**4/7 + 6*p**3/7 - 17*p**2/7 - 6*p/7 + 16/7 = 0.
-8, -1, 1, 2
Let 3*r**2 - 45*r - 1092 = 0. Calculate r.
-13, 28
What is c in -2*c**3/5 - 4*c**2 + 354*c/5 + 1188/5 = 0?
-18, -3, 11
Let 3*t**3 - 39*t**2 + 57*t + 99 = 0. Calculate t.
-1, 3, 11
Factor 25*k**3/4 + 1155*k**2/2 + 921*k/4 + 23.
(k + 92)*(5*k + 1)**2/4
Let 3*a**2 + 3378*a + 950907 = 0. Calculate a.
-563
Factor -2*f**2/7 + 12*f/7 + 2.
-2*(f - 7)*(f + 1)/7
Let 3*q**4 + 402*q**3 + 18576*q**2 + 321726*q + 1192605 = 0. Calculate q.
-43, -5
Determine m so that -2*m**4/9 + 4*m**3 + 50*m**2/9 - 76*m/3 = 0.
-3, 0, 2, 19
Solve -h**5 + 22*h**4 - 68*h**3 - 598*h**2 - 507*h = 0 for h.
-3, -1, 0, 13
Solve -3*t**5/5 + 21*t**4 - 39*t**3 - 21*t**2 + 198*t/5 = 0 for t.
-1, 0, 1, 2, 33
Solve -2*r**3/3 - 104*r**2/3 - 202*r/3 - 100/3 = 0.
-50, -1
Factor -2*a**4/7 - 2*a**3/7 + 6*a**2 + 90*a/7.
-2*a*(a - 5)*(a + 3)**2/7
Determine n so that -3*n**2/2 + 10092*n - 16974744 = 0.
3364
Factor -5*i**5 - 20*i**4 - 25*i**3 - 10*i**2.
-5*i**2*(i + 1)**2*(i + 2)
Factor k**2/4 - 53*k/2 + 2809/4.
(k - 53)**2/4
Factor 5*u**3/2 - 125*u**2/6 + 5*u + 40/3.
5*(u - 8)*(u - 1)*(3*u + 2)/6
Let -2*x**4 - 6*x**3 + 8*x = 0. What is x?
-2, 0, 1
What is p in -2*p**4 + 112*p**3 - 1868*p**2 + 8400*p - 11250 = 0?
3, 25
Factor -5*r**4 - 20*r**3 - 10*r**2 + 20*r + 15.
-5*(r - 1)*(r + 1)**2*(r + 3)
Solve 2*n**4/17 + 22*n**3/17 + 38*n**2/17 + 18*n/17 = 0.
-9, -1, 0
Solve -4*h**5/5 + 32*h**4/5 + 232*h**3 - 17712*h**2/5 + 74844*h/5 - 11664 = 0.
-20, 1, 9
Determine j so that -2*j**2 + 32*j - 30 = 0.
1, 15
Factor 2*o**3/17 - 8064*o**2/17 + 10838016*o/17 - 4855431168/17.
2*(o - 1344)**3/17
Factor 5*z**4/6 + z**3/3 - 5*z**2/6 - z/3.
z*(z - 1)*(z + 1)*(5*z + 2)/6
Factor -5*t**4 - 16*t**3 - 13*t**2 - 2*t.
-t*(t + 1)*(t + 2)*(5*t + 1)
Factor u**3 - 19*u**2 - u + 19.
(u - 19)*(u - 1)*(u + 1)
Factor k**2/3 - 53*k/3 - 18.
(k - 54)*(k + 1)/3
Factor 20*w**2 + 12*w - 8.
4*(w + 1)*(5*w - 2)
Solve 4*k**4/15 - 398*k**3/15 + 194*k**2/15 + 398*k/15 - 66/5 = 0.
-1, 1/2, 1, 99
What is h in -14*h**3/5 + 148*h**2/5 + 66*h/5 = 0?
-3/7, 0, 11
Factor 2*i**2/3 + 304*i/3 + 11552/3.
2*(i + 76)**2/3
Factor v**2/10 + 51*v/5 + 20.
(v + 2)*(v + 100)/10
Determine a, given that -10*a**4 - 123*a**3 - 320*a**2 - 201*a + 54 = 0.
-9, -2, -3/2, 1/5
