 3/5
Factor 3*s**5/4 + 225*s**4/4 + 3375*s**3/2 + 50625*s**2/2 + 759375*s/4 + 2278125/4.
3*(s + 15)**5/4
Suppose w**5 - 7*w**4 - 26*w**3 + 54*w**2 + 153*w + 81 = 0. What is w?
-3, -1, 3, 9
Find v, given that -4*v**2/7 + 352*v/7 + 1308 = 0.
-21, 109
Factor -2*l**2 + 7108*l - 6315458.
-2*(l - 1777)**2
What is h in 2*h**4 - 2*h**3 - 18*h**2 - 22*h - 8 = 0?
-1, 4
Factor -6*l**3 + 1022*l**2 + 684*l.
-2*l*(l - 171)*(3*l + 2)
Suppose 2*q**2 + 396*q + 19602 = 0. Calculate q.
-99
Factor -2*q**2/5 - 668*q/5 - 55778/5.
-2*(q + 167)**2/5
Factor h**3 - 3*h**2 - 9*h + 27.
(h - 3)**2*(h + 3)
Solve -3*o**5/5 - 24*o**4/5 + 24*o**3/5 + 288*o**2/5 - 432*o/5 = 0.
-6, 0, 2
Factor 27*c**2 - 5070*c - 1128.
3*(c - 188)*(9*c + 2)
Factor 2*z**3/5 + 186*z**2/5 + 5766*z/5 + 59582/5.
2*(z + 31)**3/5
Let -3*x**4 + 21*x**3 + 306*x**2 - 2784*x + 4224 = 0. What is x?
-11, 2, 8
Factor -4*n**2/3 + 14*n/9 - 2/9.
-2*(n - 1)*(6*n - 1)/9
Factor -2*q**4 + 568*q**3 - 41448*q**2 + 159040*q - 156800.
-2*(q - 140)**2*(q - 2)**2
Factor z**3 + 69*z**2 + 1155*z - 1225.
(z - 1)*(z + 35)**2
Let m**2 - 66*m = 0. Calculate m.
0, 66
Find l, given that -2*l**4/7 - 5*l**3 - 192*l**2/7 - 41*l + 28 = 0.
-7, -4, 1/2
Find f such that -4*f**2 - 256*f - 4096 = 0.
-32
Suppose 28*l**5 - 916*l**4 + 632*l**3 + 256*l**2 = 0. What is l?
-2/7, 0, 1, 32
Solve -6*t**5 - 458*t**4/7 - 1426*t**3/7 - 130*t**2 + 100*t/7 = 0.
-5, -1, 0, 2/21
Let 5*j**3 + 205*j**2 - 20*j - 820 = 0. Calculate j.
-41, -2, 2
Factor -2*j**2/7 + 302*j/7 - 300/7.
-2*(j - 150)*(j - 1)/7
Let -5*g**5 - 85*g**4 + 395*g**3 - 515*g**2 + 210*g = 0. Calculate g.
-21, 0, 1, 2
What is q in q**5 - 10*q**4 - 29*q**3 + 522*q**2 - 972*q - 1512 = 0?
-7, -1, 6
Factor 28*l**3/9 - 18*l**2 + 104*l/9 + 10/3.
2*(l - 5)*(l - 1)*(14*l + 3)/9
Determine j, given that 2*j**5 - 16*j**4 + 48*j**3 - 68*j**2 + 46*j - 12 = 0.
1, 2, 3
Let i**3 - 60*i**2 + 837*i + 1922 = 0. What is i?
-2, 31
Determine r so that -r**2 + 44*r - 484 = 0.
22
Solve 3*l**5/4 - 3*l**4 + 9*l**3/4 + 3*l**2 - 3*l = 0.
-1, 0, 1, 2
Solve 2*a**3/3 - 56*a**2/3 - 118*a/3 - 20 = 0.
-1, 30
Factor 2*f**3/13 + 816*f**2 + 1442688*f + 850224128.
2*(f + 1768)**3/13
Factor w**2/7 + 67*w/7 - 138/7.
(w - 2)*(w + 69)/7
Factor 3*v**3/4 - 39*v**2/2 - 3*v/4 + 39/2.
3*(v - 26)*(v - 1)*(v + 1)/4
Factor 2*j**2/11 - 16*j/11 + 30/11.
2*(j - 5)*(j - 3)/11
Let 2*q**2/9 - 232*q/9 + 6728/9 = 0. What is q?
58
Factor -81*b**4 - 603*b**3 - 742*b**2 - 244*b - 24.
-(b + 1)*(b + 6)*(9*b + 2)**2
What is b in -105*b**4 - 1053*b**3 - 1710*b**2 - 48*b = 0?
-8, -2, -1/35, 0
Factor 2*c**2/19 - 54*c/19.
2*c*(c - 27)/19
Factor 2*j**2/7 + 20*j/7 - 288/7.
2*(j - 8)*(j + 18)/7
Solve -6*v**5 - 660*v**4/7 - 2454*v**3/7 - 444*v**2 - 744*v/7 + 528/7 = 0 for v.
-11, -2, -1, 2/7
What is c in 5*c**5 - 10*c**4 - 285*c**3 - 270*c**2 = 0?
-6, -1, 0, 9
Find c, given that -6*c**2/5 + 666*c + 3336/5 = 0.
-1, 556
Factor -o**4/3 - 89*o**3 - 5985*o**2 - 17689*o/3.
-o*(o + 1)*(o + 133)**2/3
Factor -5*s**2 + 155*s - 150.
-5*(s - 30)*(s - 1)
Factor -3*c**3 + 120*c**2 - 1311*c + 2166.
-3*(c - 19)**2*(c - 2)
Determine r so that -2*r**5/3 - 134*r**4/3 - 796*r**3 + 5720*r**2/3 + 289328*r/3 - 281216 = 0.
-26, 3, 8
What is p in -p**4/2 - p**3/2 + 25*p**2/2 + 25*p/2 = 0?
-5, -1, 0, 5
Suppose 2*q**4/3 - 202*q**3/3 + 200*q**2/3 = 0. Calculate q.
0, 1, 100
Suppose -4*l**5 - 204*l**4 + 1592*l**3 - 1920*l**2 - 3712*l = 0. What is l?
-58, -1, 0, 4
Factor 2*c**3/11 + 12*c**2/11 - 14*c/11.
2*c*(c - 1)*(c + 7)/11
Determine r so that 26*r**5 - 1712*r**4 - 342*r**3 + 5084*r**2 + 4216*r + 528 = 0.
-1, -2/13, 2, 66
Factor -2*a**2/5 + 1486*a/5.
-2*a*(a - 743)/5
Factor -o**2 - 40*o - 300.
-(o + 10)*(o + 30)
Factor -2*y**2 - 1906*y + 1908.
-2*(y - 1)*(y + 954)
Factor -y**3/12 - 71*y**2/12 - 139*y/12 - 23/4.
-(y + 1)**2*(y + 69)/12
Determine o so that -5*o**2 + 1495*o + 1500 = 0.
-1, 300
Solve 2*g**2/3 - 23188*g/3 + 67210418/3 = 0.
5797
Solve o**5/2 + 19*o**4/2 - 21*o**3 + o**2 + 41*o/2 - 21/2 = 0 for o.
-21, -1, 1
Let x**5/2 - 3*x**4/2 + x**3/2 + 3*x**2/2 - x = 0. Calculate x.
-1, 0, 1, 2
Factor -5*h**3 + 43*h**2 + 198*h + 72.
-(h - 12)*(h + 3)*(5*h + 2)
Factor -j**2/5 + 87*j/5 - 1512/5.
-(j - 63)*(j - 24)/5
Determine g so that -g**2 - 76*g - 1444 = 0.
-38
Suppose 3*o**2/8 - 2727*o/8 - 2733/4 = 0. Calculate o.
-2, 911
Factor 3*a**4 + 39*a**3 + 123*a**2 + 141*a + 54.
3*(a + 1)**2*(a + 2)*(a + 9)
Factor 2*w**4 + 168*w**3 + 3528*w**2.
2*w**2*(w + 42)**2
Factor 2*s**3/9 + 28*s**2/9 + 50*s/9 + 8/3.
2*(s + 1)**2*(s + 12)/9
Factor 2*p**3 - 4564*p**2 + 2608320*p - 5198400.
2*(p - 1140)**2*(p - 2)
Factor 9*f**3 - 408*f**2 - 711*f + 282.
3*(f - 47)*(f + 2)*(3*f - 1)
Factor -2*a**3 - 3720*a**2 - 2306400*a - 476656000.
-2*(a + 620)**3
Determine g so that 20*g**4 + 4995*g**3 - 1270*g**2 - 4995*g + 1250 = 0.
-250, -1, 1/4, 1
Factor -d**2/3 - 88*d/3 - 1936/3.
-(d + 44)**2/3
Solve 2*h**5/5 - 116*h**4/5 + 332*h**3/5 - 104*h**2/5 - 334*h/5 + 44 = 0 for h.
-1, 1, 2, 55
Let -4*w**4 - 16*w**3 + 4*w**2 + 64*w + 48 = 0. What is w?
-3, -2, -1, 2
Let 3*g**3 + 18*g**2 + 33*g + 18 = 0. Calculate g.
-3, -2, -1
Factor -5*l**5 - 15*l**4 + 35*l**3 + 35*l**2 - 90*l + 40.
-5*(l - 1)**3*(l + 2)*(l + 4)
Determine l so that -4*l**3/7 + 3040*l**2/7 - 6068*l/7 + 3032/7 = 0.
1, 758
Suppose 2*x**4/13 - 4*x**3/13 + 4*x/13 - 2/13 = 0. What is x?
-1, 1
Factor -2*g**4/7 + 2*g**3/7 + 10*g**2/7 + 6*g/7.
-2*g*(g - 3)*(g + 1)**2/7
Find r, given that -35*r**4 - 186*r**3 - 308*r**2 - 120*r + 64 = 0.
-2, -8/5, 2/7
Solve 2*h**2 - 184*h - 186 = 0 for h.
-1, 93
Find g, given that -2*g**3 - 2548*g**2 - 10168*g - 10160 = 0.
-1270, -2
Solve 100*o**3 + 1008*o**2 + 980*o + 72 = 0 for o.
-9, -1, -2/25
Suppose -50*y**5/7 + 1020*y**4/7 + 4198*y**3/7 + 3000*y**2/7 - 248*y + 192/7 = 0. Calculate y.
-2, 1/5, 24
Factor 2*j**5/7 - 2*j**4/7 - 60*j**3/7.
2*j**3*(j - 6)*(j + 5)/7
Solve 5476*s**4 + 7918*s**3 - 2882*s**2 - 7920*s - 2592 = 0.
-36/37, -1/2, 1
Let -2*k**2/13 - 14*k/13 + 36/13 = 0. Calculate k.
-9, 2
Solve 3*k**2 + 144*k - 1740 = 0.
-58, 10
Find x such that x**2/4 + 626*x = 0.
-2504, 0
Solve 2*g**3 + 32*g**2 = 0.
-16, 0
Let 2*r**4 + 178*r**3 + 854*r**2 + 1182*r + 504 = 0. What is r?
-84, -3, -1
Factor 2*r**2/5 - 88*r/5 + 168.
2*(r - 30)*(r - 14)/5
Factor f**4/4 - 55*f**3/2 + 427*f**2/4 - 159*f/2.
f*(f - 106)*(f - 3)*(f - 1)/4
Find u such that 3*u**4/5 + 102*u**3/5 + 363*u**2/5 - 8568*u/5 + 21168/5 = 0.
-21, 4
Find n such that 3*n**3/4 - 1458*n**2 + 944784*n - 204073344 = 0.
648
Determine y so that -3*y**2 - 738*y - 3615 = 0.
-241, -5
Suppose -4*h**4 - 12*h**3 + 80*h**2 + 192*h - 256 = 0. Calculate h.
-4, 1, 4
Solve 5*j**5/3 + 10*j**4 - 640*j**3/3 + 190*j**2 + 635*j/3 - 200 = 0.
-15, -1, 1, 8
Factor 2*l**4/15 - 6*l**3 + 476*l**2/5 - 9016*l/15 + 5488/5.
2*(l - 14)**3*(l - 3)/15
Suppose 3*x**3/4 + 81*x**2/2 + 1449*x/4 + 645/2 = 0. What is x?
-43, -10, -1
Factor -14*o**2/3 + 6*o - 4/3.
-2*(o - 1)*(7*o - 2)/3
Determine h, given that -5*h**5 - 2940*h**4 - 11710*h**3 - 17540*h**2 - 11685*h - 2920 = 0.
-584, -1
Determine n, given that -n**5 - 5*n**4 - 3*n**3 + 17*n**2 + 28*n + 12 = 0.
-3, -2, -1, 2
Factor -2*j**3/9 - 10*j**2/9 + 8*j/9 + 40/9.
-2*(j - 2)*(j + 2)*(j + 5)/9
Suppose 4*p**5 - 4308*p**4 - 25944*p**3 - 51952*p**2 - 34656*p = 0. Calculate p.
-2, 0, 1083
Find s, given that 2*s**4/5 + 14*s**3/5 - 16*s**2/5 = 0.
-8, 0, 1
Factor -5*z**3 - 200*z**2 - 740*z - 720.
-5*(z + 2)**2*(z + 36)
Find n such that -3*n**5 + 597*n**4 - 29397*n**3 - 30597*n**2 + 29400*n + 30000 = 0.
-1, 1, 100
Determine o so that 2*o**5/3 + 46*o**4/3 + 406*o**3/3 + 1682*o**2/3 + 1040*o + 600 = 0.
-6, -5, -1
Factor 2*k**2/5 - 12*k/5 - 54/5.
2*(k - 9)*(k + 3)/5
Factor 2*u**2 - 38*u - 40.
2*(u - 20)*(u + 1)
Determine b, given that 35*b**4 - 2195*b**3 + 14770*b**2 + 4400*b = 0.
-2/7, 0, 8, 55
Factor 2*h**2/9 + 4*h/9 - 10/3.
2*(h - 3)*(h + 5)/9
Solve -5*p**3/4 - 35*p**2/4 + 75*p/2 = 0 for p.
-10, 0, 3
Find b, given that 5*b**3 - 55*b**2 - 70*b + 120 = 0.
-2, 1, 12
Suppose -f**3/3 - 56*f**2 + 113*f - 170/3 = 0. Calculate f.
-170, 1
Factor -3*j**4 + 96*j**3 + 6786*j**2 + 101400*j + 467961.
-3*(j - 71)*(j + 13)**3
Find n such that -5*n**5 - 15*n**4 + 15*n**3 + 35*n**2 - 30*n = 0.
-3, -2, 0, 1
Factor -2*y**4/5 - 742*y**3/5 - 68448*y**2/5 + 69192*y/5.
-2*y*(y - 1)*(y + 186)**2/5
De