+ 6*n**2/17 - 4*n/17.
-2*n*(n - 2)*(n - 1)/17
Factor -2*h**2/9 + 8*h/3 + 128/9.
-2*(h - 16)*(h + 4)/9
Factor -12*u**4 + 548*u**3 + 184*u**2.
-4*u**2*(u - 46)*(3*u + 1)
Find j, given that 3*j**2 + 666*j + 36963 = 0.
-111
Find a such that 3*a**5 - 6*a**4 + 6*a**2 - 3*a = 0.
-1, 0, 1
What is h in h**2 - 9*h + 18 = 0?
3, 6
Find t, given that -2*t**3/9 + 986*t**2/9 - 1966*t/9 + 982/9 = 0.
1, 491
Determine f, given that 1250*f**5 + 4100*f**4 + 2812*f**3 - 1352*f**2 - 990*f + 324 = 0.
-2, -1, 9/25
Find z, given that -4*z**3 - 12*z**2 + 24*z + 32 = 0.
-4, -1, 2
Let -4*x**3/5 + 48*x**2/5 + 172*x/5 + 24 = 0. Calculate x.
-2, -1, 15
Factor 4*w**3/5 - 36*w**2/5 - 56*w.
4*w*(w - 14)*(w + 5)/5
Let 40*j**4 + 394*j**3 + 896*j**2 - 184*j - 96 = 0. Calculate j.
-6, -4, -1/4, 2/5
Factor 2*u**2/7 - 118*u/7 + 228/7.
2*(u - 57)*(u - 2)/7
Let -4*i**4 + 4*i**3 + 12*i**2 - 4*i - 8 = 0. Calculate i.
-1, 1, 2
Solve 14*x**4/11 - 1406*x**3/11 + 38232*x**2/11 - 145152*x/11 + 55296/11 = 0 for x.
3/7, 4, 48
Let -2*d**5/5 - 188*d**4/5 - 146*d**3 - 904*d**2/5 - 72*d = 0. Calculate d.
-90, -2, -1, 0
Factor -3*k**4 - 90*k**3 - 717*k**2 - 1710*k.
-3*k*(k + 5)*(k + 6)*(k + 19)
Find i such that 15*i**5 - 455*i**4 + 975*i**3 + 175*i**2 - 990*i + 280 = 0.
-1, 1/3, 1, 2, 28
Factor j**3/3 - 28*j**2/3 + 212*j/3 - 320/3.
(j - 16)*(j - 10)*(j - 2)/3
Factor 14*y**3/9 + 20*y**2/3 + 16*y/9.
2*y*(y + 4)*(7*y + 2)/9
Factor 5*w**3 + 50*w**2 + 105*w.
5*w*(w + 3)*(w + 7)
Solve -3*c**3/4 + 3669*c**2/4 = 0.
0, 1223
Solve 2*i**5/3 + 10*i**4/3 - 8*i**3/3 - 40*i**2/3 = 0 for i.
-5, -2, 0, 2
Find n, given that -5*n**5/3 - 25*n**4/3 + 10*n**3 + 110*n**2/3 - 185*n/3 + 25 = 0.
-5, -3, 1
Determine k so that 2*k**2/7 - 116*k + 11774 = 0.
203
Suppose 5*l**5 + 30*l**4 + 10*l**3 - 100*l**2 - 135*l - 50 = 0. What is l?
-5, -1, 2
Find x, given that -2*x**4 + 162*x**3 - 4524*x**2 + 47320*x - 105456 = 0.
3, 26
Solve 4*g**5/7 + 60*g**4 + 12780*g**3/7 + 35100*g**2/7 - 2190240*g/7 + 8541936/7 = 0.
-39, 6
Suppose -2*d**5/9 + 70*d**4/3 - 624*d**3 + 5408*d**2/9 = 0. Calculate d.
0, 1, 52
Suppose -4*u**2 - 32*u + 80 = 0. Calculate u.
-10, 2
Let 5*o**3 - 695*o**2 + 1370*o = 0. What is o?
0, 2, 137
Suppose -j**2 - 104*j - 303 = 0. What is j?
-101, -3
Solve -4*t**3 - 44*t**2 + 160*t - 112 = 0.
-14, 1, 2
Factor 4*c**3/5 + 3124*c**2/5 - 1252*c + 3132/5.
4*(c - 1)**2*(c + 783)/5
Factor 25*y**3 + 65*y**2 + 20*y - 20.
5*(y + 1)*(y + 2)*(5*y - 2)
Find z such that -2*z**5/3 - 2*z**4/3 + 4*z**3/3 + 4*z**2/3 - 2*z/3 - 2/3 = 0.
-1, 1
Factor 4*t**2 + 374*t + 552.
2*(t + 92)*(2*t + 3)
Determine o, given that -10*o**3/3 - 539*o**2/3 - 476*o/3 + 53/3 = 0.
-53, -1, 1/10
Factor -2*b**3/3 - 1852*b**2/3 + 2*b/3 + 1852/3.
-2*(b - 1)*(b + 1)*(b + 926)/3
Find d such that -2*d**3/9 + 128*d**2/9 + 88*d/3 = 0.
-2, 0, 66
Factor -1460*u**3 - 624*u**2 - 16*u.
-4*u*(5*u + 2)*(73*u + 2)
Let 14*g**5/5 + 46*g**4/5 - 156*g**3/5 - 776*g**2/5 - 176*g - 192/5 = 0. Calculate g.
-3, -2, -2/7, 4
Let -a**3/12 - 623*a**2/3 + 4987*a/12 - 1247/6 = 0. What is a?
-2494, 1
Find a such that -90*a**2/7 - 16*a/7 = 0.
-8/45, 0
Factor 2*g**4/3 + 40*g**3/3 + 262*g**2/3 + 608*g/3 + 128.
2*(g + 1)*(g + 3)*(g + 8)**2/3
Let 4*i**2 + 120*i + 116 = 0. What is i?
-29, -1
Factor t**3/6 + t**2/3 - 5*t/6 - 1.
(t - 2)*(t + 1)*(t + 3)/6
Solve 2*q**5/3 - 4*q**4 - 34*q**3/3 + 44*q**2 + 392*q/3 + 80 = 0 for q.
-2, -1, 5, 6
Let b**3/7 + 48*b**2/7 + 93*b/7 + 46/7 = 0. Calculate b.
-46, -1
Factor 5*c**2 - 600*c + 18000.
5*(c - 60)**2
Determine m, given that -3*m**2/2 - 9*m - 12 = 0.
-4, -2
Factor -3*g**4 + 1440*g**3 + 2889*g**2 + 1446*g.
-3*g*(g - 482)*(g + 1)**2
Let 2*p**5/17 + 130*p**4/17 + 834*p**3/17 + 1286*p**2/17 + 580*p/17 = 0. Calculate p.
-58, -5, -1, 0
Factor -2*k**2/5 - 268*k/5 - 3146/5.
-2*(k + 13)*(k + 121)/5
Find m such that -m**2/5 - 39*m/5 - 54 = 0.
-30, -9
Find c, given that -7*c**2 - 128*c - 36 = 0.
-18, -2/7
Solve -5*b**4 + 10*b**3 + 20*b**2 - 10*b - 15 = 0 for b.
-1, 1, 3
Find l such that -l**5/2 + 123*l**4/2 + 249*l**3/2 + 125*l**2/2 = 0.
-1, 0, 125
Factor -3*q**5 + 216*q**4 + 900*q**3 - 210000*q**2.
-3*q**2*(q - 50)**2*(q + 28)
Factor -l**2 + 41*l + 702.
-(l - 54)*(l + 13)
Factor 64*d**4 + 224*d**3 + 68*d**2 - 80*d + 12.
4*(d + 1)*(d + 3)*(4*d - 1)**2
Factor -32*b**5/5 - 16*b**4/5 + 14*b**3/5 - 2*b**2/5.
-2*b**2*(b + 1)*(4*b - 1)**2/5
Suppose 2*f**4 - 54*f**3 + 182*f**2 + 54*f - 184 = 0. What is f?
-1, 1, 4, 23
Factor -f**2 + 155*f.
-f*(f - 155)
Solve 3*z**4 + 54*z**3 + 339*z**2 + 828*z + 540 = 0 for z.
-6, -5, -1
Factor -3*a**2 + 66*a - 63.
-3*(a - 21)*(a - 1)
What is s in 2*s**3/11 - 322*s**2/11 - 324*s/11 = 0?
-1, 0, 162
Determine m, given that -2*m**3/11 + 984*m**2/11 - 122010*m/11 + 240100/11 = 0.
2, 245
Factor 2*s**3/13 + 14*s**2/13 - 2*s/13 - 14/13.
2*(s - 1)*(s + 1)*(s + 7)/13
Factor -n**2 - 58*n - 552.
-(n + 12)*(n + 46)
Determine f so that 2*f**2/17 + 12772*f/17 + 20390498/17 = 0.
-3193
Suppose -3*v**3/8 + 5*v**2 + 29*v/8 - 7/4 = 0. What is v?
-1, 1/3, 14
Factor -2*g**2/15 - 22*g/5 + 112/3.
-2*(g - 7)*(g + 40)/15
Factor -m**2/5 + 2*m.
-m*(m - 10)/5
Find d such that -d**3 + 48*d**2 - 576*d = 0.
0, 24
What is a in -2*a**5/15 + 8*a**4/15 + 8*a**3/15 - 68*a**2/15 + 6*a - 12/5 = 0?
-3, 1, 2, 3
Find m, given that -10*m**3 - 184*m**2 - 72*m = 0.
-18, -2/5, 0
Factor 2*a**2 - 10*a - 100.
2*(a - 10)*(a + 5)
Factor -18*f**3 + 56*f**2 - 42*f + 4.
-2*(f - 2)*(f - 1)*(9*f - 1)
Solve -14*n**4/5 + 584*n**3/15 - 994*n**2/15 + 404*n/15 + 16/5 = 0 for n.
-2/21, 1, 12
Factor 2*l**4 + 4424*l**3 + 3669708*l**2 + 1352899016*l + 187038288962.
2*(l + 553)**4
Solve 2*r**3/3 - 2*r**2/3 = 0.
0, 1
Factor 2*t**2 - 38*t + 36.
2*(t - 18)*(t - 1)
Factor -4*t**4/5 - 328*t**3/5 - 1872*t**2 - 102752*t/5 - 281216/5.
-4*(t + 4)*(t + 26)**3/5
Solve -3*l**3/4 + 1029*l**2/2 - 88749*l + 175446 = 0.
2, 342
Factor f**2/4 + 4691*f/2 + 22005481/4.
(f + 4691)**2/4
Factor 3*v**3/8 - 945*v**2/4 + 3771*v/8 - 471/2.
3*(v - 628)*(v - 1)**2/8
Find u such that -u**4/2 - 3*u**3 + 35*u**2/2 - 24*u + 10 = 0.
-10, 1, 2
Factor -x**2/8 - 35*x/4 - 1225/8.
-(x + 35)**2/8
Find x such that 4*x**2 + 1216*x + 1212 = 0.
-303, -1
Factor -4*w**2/7 + 96*w/7 + 100/7.
-4*(w - 25)*(w + 1)/7
Suppose 5*i**3 - 10*i**2 - 5*i + 10 = 0. Calculate i.
-1, 1, 2
Let -4*w**5 - 48*w**4 - 228*w**3 - 536*w**2 - 624*w - 288 = 0. Calculate w.
-3, -2
Find h, given that -3*h**3 + 36*h**2 + 84*h = 0.
-2, 0, 14
Factor -4*n**3 - 41*n**2 - 110*n - 25.
-(n + 5)**2*(4*n + 1)
Let 54*w**3/5 + 6*w**2 + 4*w/5 = 0. Calculate w.
-1/3, -2/9, 0
Suppose -6*a**4 - 22*a**3 + 6160*a**2/3 - 8104*a/3 + 896 = 0. Calculate a.
-21, 2/3, 16
Factor 3*v**5 - 33*v**4 + 108*v**3 - 96*v**2 - 96*v + 144.
3*(v - 6)*(v - 2)**3*(v + 1)
Factor q**4 + 4*q**3 + 3*q**2 - 4*q - 4.
(q - 1)*(q + 1)*(q + 2)**2
What is h in -3*h**3/7 + 102*h**2/7 - 93*h/7 - 198/7 = 0?
-1, 2, 33
Suppose -2*z**4/3 + 4*z**3 - 8*z**2 + 16*z/3 = 0. What is z?
0, 2
Suppose -11*c**4 + 90*c**3 - 203*c**2 + 144*c - 20 = 0. What is c?
2/11, 1, 2, 5
What is h in 2*h**5 - 6*h**4 - 30*h**3 - 34*h**2 - 12*h = 0?
-1, 0, 6
Factor p**4/3 + 4*p**3/3 + 2*p**2 + 4*p/3 + 1/3.
(p + 1)**4/3
Suppose -9*d**5/2 + 101*d**4/2 - 373*d**3/2 + 519*d**2/2 - 139*d + 20 = 0. What is d?
2/9, 1, 4, 5
Factor 2*o**2/17 + 2388*o/17 + 712818/17.
2*(o + 597)**2/17
Determine u, given that 3*u**2 - 2628*u + 575532 = 0.
438
Factor -4*m**4 - 100*m**3 - 188*m**2 - 92*m.
-4*m*(m + 1)**2*(m + 23)
Factor 2*u**2/9 + 122*u/9 + 40/3.
2*(u + 1)*(u + 60)/9
Determine d, given that -d**2/3 + 65*d/3 - 64/3 = 0.
1, 64
What is v in 4*v**3 - 940*v**2 + 55692*v - 54756 = 0?
1, 117
Solve 5*s**5 + 40*s**4 - 935*s**3 + 2390*s**2 + 5340*s - 6840 = 0.
-19, -2, 1, 6
Factor 5*g**2 - 2450*g + 300125.
5*(g - 245)**2
Factor -4*g**3/7 + 19116*g**2/7 - 30451788*g/7 + 16169899428/7.
-4*(g - 1593)**3/7
Factor 4*d**2 - 48*d.
4*d*(d - 12)
Factor f**3 - 170*f**2 + 993*f - 1476.
(f - 164)*(f - 3)**2
Let -2*g**5 - 120*g**4 = 0. What is g?
-60, 0
What is s in 3*s**3 - 24*s**2 - 27*s = 0?
-1, 0, 9
Suppose q**4/8 + 9*q**3/8 - 17*q**2/4 + 3*q = 0. Calculate q.
-12, 0, 1, 2
Factor -2*u**3 + 32*u**2 - 78*u.
-2*u*(u - 13)*(u - 3)
Factor 5*l**4 - 180*l**3 - 375*l**2 - 190*l.
5*l*(l - 38)*(l + 1)**2
Suppose 2*q**4/9 + 880*q**3/9 - 590*q**2/3 - 880*q/9 + 1768/9 = 0. Calculate q.
-442, -1, 1