 + 525*t**2 + 450*t.
3*t*(t + 1)*(t + 10)*(t + 15)
Factor 3*d**5 - 9*d**4 - 15*d**3 + 9*d**2 + 12*d.
3*d*(d - 4)*(d - 1)*(d + 1)**2
Factor -2*j**2/13 - 18*j/13 - 40/13.
-2*(j + 4)*(j + 5)/13
Factor -4*l**2/7 + 104*l/7 - 276/7.
-4*(l - 23)*(l - 3)/7
Solve 6*t**5/7 + 32*t**4/7 + 4*t**3/7 - 32*t**2/7 - 10*t/7 = 0.
-5, -1, -1/3, 0, 1
Factor -10*u**3 + 38*u**2 - 46*u + 18.
-2*(u - 1)**2*(5*u - 9)
Let 2*n**4/3 - 6*n**3 + 14*n**2/3 + 6*n - 16/3 = 0. Calculate n.
-1, 1, 8
Find x such that 2*x**3 + 1598*x**2 + 316790*x - 964806 = 0.
-401, 3
Find u such that 4*u**3/3 - 40*u**2 - 4*u/3 + 40 = 0.
-1, 1, 30
Factor -s**2/3 + 2*s/3 - 1/3.
-(s - 1)**2/3
Factor -4*g**3 + 432*g**2 - 852*g + 424.
-4*(g - 106)*(g - 1)**2
Find o, given that 3*o**5/5 - 16*o**4/5 + 5*o**3 - 28*o/5 + 16/5 = 0.
-1, 1, 4/3, 2
Factor 35*b**3 - 405*b**2 + 520*b + 300.
5*(b - 10)*(b - 2)*(7*b + 3)
Factor -5*i**2 - 25*i.
-5*i*(i + 5)
Determine r, given that -6*r**3 - 8*r**2 + 30*r = 0.
-3, 0, 5/3
Factor -2*n**3 + 108*n**2 - 298*n - 408.
-2*(n - 51)*(n - 4)*(n + 1)
What is x in 17*x**3/5 + 78*x**2 - 1859*x/5 + 108/5 = 0?
-27, 1/17, 4
Factor 725*j**2 + 1430*j - 40.
5*(j + 2)*(145*j - 4)
Factor -3*f**5/7 - 306*f**4/7 - 1440*f**3 - 13650*f**2 + 55125*f.
-3*f*(f - 3)*(f + 35)**3/7
Find h, given that -5*h**5 + 385*h**4/4 - 75*h**3/4 - 385*h**2/4 + 95*h/4 = 0.
-1, 0, 1/4, 1, 19
Let -2*q**2/9 + 146*q/9 + 100/3 = 0. What is q?
-2, 75
Suppose 2*z**5/19 - 20*z**4/19 + 44*z**3/19 + 56*z**2/19 - 110*z/19 - 100/19 = 0. Calculate z.
-1, 2, 5
Determine o, given that 70*o**5 + 295*o**4 + 225*o**3 - 125*o**2 - 95*o + 30 = 0.
-3, -1, 2/7, 1/2
Determine h so that 2*h**2/7 + 232*h/7 + 6728/7 = 0.
-58
Factor -2*i**3/9 - 2*i**2 + 2*i/9 + 2.
-2*(i - 1)*(i + 1)*(i + 9)/9
Solve -33*m**5 + 225*m**4 - 90*m**3 - 420*m**2 - 72*m = 0 for m.
-1, -2/11, 0, 2, 6
Determine m, given that 2*m**5/5 - 16*m**4/5 + 8*m**3 - 4*m**2 - 42*m/5 + 36/5 = 0.
-1, 1, 2, 3
Find f, given that 2*f**5/5 + 2*f**4 - 96*f**3/5 - 152*f**2/5 + 704*f/5 + 1152/5 = 0.
-9, -2, 4
Find x, given that -2*x**5/7 + 32*x**4/7 - 188*x**3/7 + 480*x**2/7 - 450*x/7 = 0.
0, 3, 5
Find c such that -81*c**5 - 558*c**4 - 1227*c**3 - 786*c**2 + 204*c + 72 = 0.
-3, -2, -2/9, 1/3
Factor i**3/4 - 32*i**2 - 391*i/4 - 131/2.
(i - 131)*(i + 1)*(i + 2)/4
Factor -i**3/4 - 5*i**2/4 - 3*i/2.
-i*(i + 2)*(i + 3)/4
Suppose -2*c**2/5 - 212*c/15 + 48/5 = 0. What is c?
-36, 2/3
Factor -4*n**3 - 1656*n**2 - 228528*n - 10512288.
-4*(n + 138)**3
Find v such that 4*v**3 - 1652*v**2 = 0.
0, 413
Suppose -4*w**2 + 1280*w - 102400 = 0. What is w?
160
Let -2*a**3/3 + 2*a**2 - 4*a/3 = 0. What is a?
0, 1, 2
Factor 2*b**4 - 16*b**3 - 8*b**2 + 64*b.
2*b*(b - 8)*(b - 2)*(b + 2)
Determine c, given that 4*c**2/7 - 400*c/7 + 10000/7 = 0.
50
Determine d, given that 5*d**3 - 160*d**2 + 1405*d - 2210 = 0.
2, 13, 17
Determine g so that 2*g**2/11 + 36*g/11 + 14 = 0.
-11, -7
Factor c**3/8 + c**2/2 - 203*c/8 + 441/4.
(c - 7)**2*(c + 18)/8
Factor -g**5 + 23*g**4 + 357*g**3 - 8379*g**2.
-g**2*(g - 21)**2*(g + 19)
Factor d**5/4 - 75*d**4/4 + 138*d**3 + 8993*d**2.
d**2*(d - 46)**2*(d + 17)/4
Factor w**4/2 - 445*w**3/2 - 901*w**2/2 + 3133*w/2 - 894.
(w - 447)*(w - 1)**2*(w + 4)/2
Suppose 3*g**2 - 450*g + 2592 = 0. What is g?
6, 144
Factor -n**3/7 - 8*n**2/7 + 19*n/7 - 10/7.
-(n - 1)**2*(n + 10)/7
Suppose m**2/2 + 3*m/2 = 0. Calculate m.
-3, 0
Factor 3*t**2/4 - 2097*t/2 + 1465803/4.
3*(t - 699)**2/4
Let -z**4/9 + 17*z**3/9 + 23*z**2/9 - 31*z/3 + 6 = 0. What is z?
-3, 1, 18
Factor 2*j**2/3 - 324*j + 39366.
2*(j - 243)**2/3
Suppose 2*a**3/3 + 310*a**2/3 - 626*a/3 + 314/3 = 0. What is a?
-157, 1
Let -o**3/4 - 3*o**2/2 - 11*o/4 - 3/2 = 0. Calculate o.
-3, -2, -1
Factor n**3/3 - 3*n**2 - 52*n/3.
n*(n - 13)*(n + 4)/3
Solve -4*g**2/5 + 68*g/5 + 72/5 = 0 for g.
-1, 18
Let 35*j**4 - 171*j**3 + 116*j**2 + 36*j - 16 = 0. What is j?
-2/5, 2/7, 1, 4
Factor -2*c**2/9 + 34*c/9 + 76/9.
-2*(c - 19)*(c + 2)/9
Let 2*p**4 - 24*p**3 + 18*p**2 + 44*p = 0. What is p?
-1, 0, 2, 11
Factor 5*d**5 - 65*d**3 - 60*d**2.
5*d**2*(d - 4)*(d + 1)*(d + 3)
Factor -2*d**3 + 170*d**2 - 4750*d + 43750.
-2*(d - 35)*(d - 25)**2
Find l such that -2*l**2 - 74*l + 156 = 0.
-39, 2
Factor 288*r**2/7 - 8068*r/7 + 16.
4*(r - 28)*(72*r - 1)/7
Determine l, given that 44*l**5 - 360*l**4 + 988*l**3 - 1136*l**2 + 528*l - 64 = 0.
2/11, 1, 2, 4
Let 2*s**3/5 - 1568*s**2/5 + 626*s - 1564/5 = 0. What is s?
1, 782
Suppose o**3 - 14*o**2 + 13*o = 0. Calculate o.
0, 1, 13
Determine n, given that -4*n**4 - 48*n**3 - 184*n**2 - 240*n - 100 = 0.
-5, -1
Factor -4*k**4 + 124*k**3 - 1020*k**2 + 900*k.
-4*k*(k - 15)**2*(k - 1)
What is v in v**5 - 22*v**4 + 91*v**3 - 98*v**2 - 76*v + 136 = 0?
-1, 2, 17
What is m in 2*m**5/7 - 186*m**4/7 + 4412*m**3/7 - 552*m**2 - 8464*m/7 = 0?
-1, 0, 2, 46
Determine z, given that 8*z**5 + 156*z**4 + 1168*z**3 + 4120*z**2 + 6600*z + 3500 = 0.
-5, -7/2, -1
Solve -4*c**4 + 140*c**3 - 384*c**2 = 0 for c.
0, 3, 32
Let 2*r**5/15 - 34*r**4/15 + 188*r**3/15 - 76*r**2/3 + 322*r/15 - 98/15 = 0. What is r?
1, 7
Find a such that -2*a**3/13 + 486*a**2/13 - 39366*a/13 + 1062882/13 = 0.
81
Find a such that 2*a**3/9 + 28*a**2 - 254*a/9 = 0.
-127, 0, 1
What is j in -3*j**2/5 - 471*j/5 + 474/5 = 0?
-158, 1
Let 4*s**4/9 - 88*s**3/3 + 172*s**2/3 - 256*s/9 = 0. Calculate s.
0, 1, 64
Factor -2*m**2/9 - 1184*m/9.
-2*m*(m + 592)/9
Factor -s**2/10 - 81*s/5 - 6561/10.
-(s + 81)**2/10
Factor 2*f**2/5 - 52*f + 1690.
2*(f - 65)**2/5
What is o in 2*o**2/19 - 14*o/19 + 20/19 = 0?
2, 5
Factor -20*j**3 - 216*j**2 - 156*j + 40.
-4*(j + 1)*(j + 10)*(5*j - 1)
Factor 4*m**3/7 - 184*m**2/7 + 684*m/7 - 72.
4*(m - 42)*(m - 3)*(m - 1)/7
Determine o so that 5*o**2 - 270*o + 2925 = 0.
15, 39
Factor m**2 - 82*m.
m*(m - 82)
Find a such that -27*a**5/4 - 237*a**4/4 - 351*a**3/4 - 99*a**2/4 + 21*a/2 = 0.
-7, -1, 0, 2/9
Determine s so that -1274*s**4 - 1288*s**3 - 480*s**2 - 544*s/7 - 32/7 = 0.
-2/7, -2/13
Determine u, given that 2*u**5 - 20*u**4 + 76*u**3 - 136*u**2 + 114*u - 36 = 0.
1, 2, 3
Solve -2*s**2/5 - 6*s/5 + 4 = 0.
-5, 2
Solve j**5 + 113*j**4 - 701*j**3 + 1535*j**2 - 1424*j + 476 = 0.
-119, 1, 2
What is u in 4*u**5 - 80*u**4 + 72*u**3 + 80*u**2 - 76*u = 0?
-1, 0, 1, 19
Factor -2*o**3/3 + 40*o**2/3 + 1022*o/3 + 980/3.
-2*(o - 35)*(o + 1)*(o + 14)/3
Solve 5*t**3 - 75*t**2 + 375*t - 625 = 0 for t.
5
Suppose -5*y**5 - 35*y**4 + 325*y**3 - 785*y**2 + 760*y - 260 = 0. What is y?
-13, 1, 2
Let -o**5/4 + 9*o**4/4 - o**3 - 9*o**2 + 8*o = 0. What is o?
-2, 0, 1, 2, 8
Factor 15*p**4 - 50*p**3 + 35*p**2 + 20*p - 20.
5*(p - 2)*(p - 1)**2*(3*p + 2)
Factor 2*v**2/19 + 448*v/19 + 25088/19.
2*(v + 112)**2/19
Let l**3 + 36*l**2 + 432*l + 1728 = 0. What is l?
-12
Factor 5*w**4 + 40*w**3 - 420*w**2 - 4160*w - 6400.
5*(w - 10)*(w + 2)*(w + 8)**2
Solve -100*r**4 + 45*r**3 + 70*r**2 - 15*r = 0 for r.
-3/4, 0, 1/5, 1
Factor -2*o**3/11 + 32*o**2/11 - 138*o/11 + 108/11.
-2*(o - 9)*(o - 6)*(o - 1)/11
Solve -2*o**4/19 + 382*o**3/19 + 772*o**2/19 = 0 for o.
-2, 0, 193
Factor -3*d**5/4 + 193*d**4/4 - 784*d**3 + 256*d**2.
-d**2*(d - 32)**2*(3*d - 1)/4
Factor -2*p**2/3 - 368*p/3 - 16928/3.
-2*(p + 92)**2/3
Factor -p**3/2 - 195*p**2/2 - 12675*p/2 - 274625/2.
-(p + 65)**3/2
Find d, given that 5*d**4 - 70*d**3 + 315*d**2 - 530*d + 280 = 0.
1, 2, 4, 7
Factor 123*d**4 - 18*d**3.
3*d**3*(41*d - 6)
Factor 5*n**2 + 2295*n.
5*n*(n + 459)
Determine d, given that -3*d**2/2 - 96*d + 603/2 = 0.
-67, 3
Factor 3*k**3 - 47*k**2/3 - 116*k/3 + 28/3.
(k - 7)*(k + 2)*(9*k - 2)/3
Determine i so that 2*i**3/11 - 9844*i**2/11 - 19694*i/11 - 9848/11 = 0.
-1, 4924
Solve 2*n**3/11 + 12*n**2/11 - 14*n/11 = 0 for n.
-7, 0, 1
Factor 147*x**2 - 546*x + 507.
3*(7*x - 13)**2
Factor -2*s**3/9 - 38*s**2/9 + 400*s/9 - 96.
-2*(s - 4)**2*(s + 27)/9
Suppose 2*m**3/15 - 34*m**2/15 + 62*m/15 - 2 = 0. What is m?
1, 15
Factor -2*k**3/5 + 6*k**2/5 + 4*k.
-2*k*(k - 5)*(k + 2)/5
Factor -m**4/4 + 29*m**3/4 + 129*m**2/4 + 99*m/4.
-m*(m - 33)*(m + 1)*(m + 3)/4
Factor 5*g**3 + 10665*g**2 + 5681775*g - 5692445.
5*(g - 1)*(g + 1067)**2
Suppose o**5 + 6*o**4 + 11*o**3 + 6*o**2 = 0. Calculate o.
-3, -2, -1, 0
Suppose -t**2/5 + 2*t - 5 = 0. Calculate t.
5
Factor -5*l**3 - 1960*l**2 + 5915*l - 3950.
-5*(l - 2)*(l - 1)*(l + 395)
Factor s**3/2 - s**2 - s/2 + 1.
(s -