58*i/11 + 200/11.
2*(i - 25)*(i - 4)/11
Determine z so that 2*z**3 + 50*z**2 + 48*z = 0.
-24, -1, 0
Factor 5*f**5 - 115*f**4 + 715*f**3 - 605*f**2.
5*f**2*(f - 11)**2*(f - 1)
Find w, given that -343*w**4/2 + 17297*w**3/2 - 7371*w**2/2 + 1051*w/2 - 25 = 0.
1/7, 50
What is r in r**5/7 + 2*r**4/7 + r**3/7 = 0?
-1, 0
Factor 23660*q**5 + 8580*q**4 + 555*q**3 + 10*q**2.
5*q**2*(7*q + 2)*(26*q + 1)**2
Suppose 6*c**5 + 116*c**4 + 10*c**3 - 540*c**2 - 136*c + 304 = 0. What is c?
-19, -2, -1, 2/3, 2
Determine t so that 3*t**4 - 33*t**3 + 108*t**2 - 48*t - 192 = 0.
-1, 4
Factor 2*s**2 + 62*s.
2*s*(s + 31)
Find p, given that -2*p**5 + 18*p**4 - 14*p**3 - 18*p**2 + 16*p = 0.
-1, 0, 1, 8
Determine c so that 3*c**2/2 + 6*c - 135/2 = 0.
-9, 5
Find i, given that 2*i**2/5 + 226*i/5 - 936/5 = 0.
-117, 4
Suppose c**2/4 - 50*c - 1449/4 = 0. Calculate c.
-7, 207
Factor -a**2 - 6912*a - 11943936.
-(a + 3456)**2
Factor -3*y**3 + 63*y - 60.
-3*(y - 4)*(y - 1)*(y + 5)
Suppose 14*b**5 - 676*b**4 + 8844*b**3 - 15352*b**2 - 18538*b + 6348 = 0. Calculate b.
-1, 2/7, 3, 23
Solve 3*l**3/2 + 51*l**2 + 987*l/2 + 1470 = 0 for l.
-20, -7
Find q such that 2*q**3/3 + 4*q**2/3 = 0.
-2, 0
Factor g**4 - 17*g**3 - 37*g**2 - 19*g.
g*(g - 19)*(g + 1)**2
What is s in 15*s**5 + 170*s**4 + 565*s**3 + 530*s**2 + 120*s = 0?
-6, -4, -1, -1/3, 0
Let 2*h**3 - 180*h**2 + 3456*h + 27648 = 0. Calculate h.
-6, 48
Factor 5*w**2 - 12000*w - 12005.
5*(w - 2401)*(w + 1)
Factor -2*n**4 + 126*n**3 + 558*n**2 - 1486*n + 804.
-2*(n - 67)*(n - 1)**2*(n + 6)
Determine k, given that -2*k**3/11 - 92*k**2/11 = 0.
-46, 0
Factor -w**5/3 + 14*w**4/3 + 16*w**3 + 50*w**2/3 + 17*w/3.
-w*(w - 17)*(w + 1)**3/3
Find j, given that 45*j**5 + 175*j**4 + 250*j**3 + 150*j**2 + 25*j - 5 = 0.
-1, 1/9
Solve -5*l**5 - 60*l**4 + 70*l**3 + 60*l**2 - 65*l = 0 for l.
-13, -1, 0, 1
Solve 2*z**4 - 2*z**3 - 6*z**2 + 2*z + 4 = 0.
-1, 1, 2
Factor -2*o**3/7 + 650*o**2/7 - 1294*o/7 + 646/7.
-2*(o - 323)*(o - 1)**2/7
Let -3*m**3/2 - 3*m**2 + 189*m/2 = 0. Calculate m.
-9, 0, 7
Suppose -2*f**2/7 + 16*f/7 - 24/7 = 0. What is f?
2, 6
Factor -9*x**3 + 906*x**2 + 2181*x - 1854.
-3*(x - 103)*(x + 3)*(3*x - 2)
Factor -3*n**3/5 - 189*n**2/5 - 3969*n/5 - 27783/5.
-3*(n + 21)**3/5
Factor z**2/3 - 73*z/3 + 24.
(z - 72)*(z - 1)/3
Factor -4*o**5 - 40*o**4 - 144*o**3 - 216*o**2 - 108*o.
-4*o*(o + 1)*(o + 3)**3
Factor 2*i**2/9 + 2*i/3 - 4.
2*(i - 3)*(i + 6)/9
Solve 2*y**5/3 + 112*y**4/3 + 208*y**3/3 - 436*y**2/3 - 70*y + 108 = 0 for y.
-54, -3, -1, 1
Determine a, given that a**4/5 + 388*a**3 + 938958*a**2/5 - 376748*a + 942841/5 = 0.
-971, 1
Factor 5*t**4 - 5550*t**3 + 1551165*t**2 - 6116180*t.
5*t*(t - 553)**2*(t - 4)
Factor 4*r**3 - 164*r**2 + 456*r.
4*r*(r - 38)*(r - 3)
Determine a, given that 2*a**4 - 80*a**3 + 150*a**2 + 80*a - 152 = 0.
-1, 1, 2, 38
Determine n, given that -12*n**5 + 80*n**4 - 20*n**3 - 160*n**2 - 48*n = 0.
-1, -1/3, 0, 2, 6
Factor 2*o**2/11 + 1088*o/11 + 147968/11.
2*(o + 272)**2/11
Factor 1250*d**3/7 - 1650*d**2/7 + 432*d/7 - 32/7.
2*(d - 1)*(25*d - 4)**2/7
Factor 4*q**3/3 - 8*q**2 - 20*q - 32/3.
4*(q - 8)*(q + 1)**2/3
Factor c**3/4 - 5*c**2/2 + 23*c/4 - 7/2.
(c - 7)*(c - 2)*(c - 1)/4
Determine h, given that 2*h**2/5 - 76*h/5 + 722/5 = 0.
19
Suppose -2*u**2/7 + 38*u/7 - 36/7 = 0. Calculate u.
1, 18
Factor -4*y**3/7 - 20*y**2/7 + 32*y/7 + 48/7.
-4*(y - 2)*(y + 1)*(y + 6)/7
Suppose 2*x**2 - 1192*x + 1190 = 0. What is x?
1, 595
Find t such that -t**5/4 - 335*t**4/4 - 13775*t**3/2 + 42335*t**2/2 - 85345*t/4 + 28561/4 = 0.
-169, 1
What is l in 2*l**3/9 + 96*l**2 + 13824*l + 663552 = 0?
-144
Factor -9*j**3 - 215*j**2/4 + 291*j/2 - 4.
-(j - 2)*(j + 8)*(36*j - 1)/4
Solve 210*a**5/13 - 242*a**4/13 - 396*a**3/13 + 72*a**2/13 + 16*a/13 = 0 for a.
-1, -2/15, 0, 2/7, 2
Factor 2*o**4 + 20*o**3 - 6*o**2 - 280*o + 392.
2*(o - 2)**2*(o + 7)**2
Solve -8*m**4 - 62*m**3 - 4*m**2 + 302*m + 252 = 0.
-7, -2, -1, 9/4
Let 3*r**5/8 + 3*r**4/2 + 9*r**3/4 + 3*r**2/2 + 3*r/8 = 0. What is r?
-1, 0
Find r, given that 49*r**5 - 1505*r**4/3 + 1999*r**3 - 3861*r**2 + 10784*r/3 - 1280 = 0.
1, 5/3, 16/7, 3
Factor -3*l**4 + 24*l**3 - 54*l**2 + 48*l - 15.
-3*(l - 5)*(l - 1)**3
Factor u**2 + 1212*u + 367236.
(u + 606)**2
Factor -5*k**4 - 60*k**3 + 425*k**2.
-5*k**2*(k - 5)*(k + 17)
Determine q so that q**3/9 - 73*q**2/9 - q/9 + 73/9 = 0.
-1, 1, 73
Solve -2*d**2/11 + 2428*d/11 - 736898/11 = 0.
607
Factor 35*i**2 + 2320*i + 660.
5*(i + 66)*(7*i + 2)
Find d such that -5*d**4 + 20*d**3 - 10*d**2 - 20*d + 15 = 0.
-1, 1, 3
Factor 5*k**4 + 100*k**3 + 585*k**2 + 810*k.
5*k*(k + 2)*(k + 9)**2
Factor -2*j**3/9 - 2*j**2/3 + 16*j/3 + 160/9.
-2*(j - 5)*(j + 4)**2/9
Factor -g**4/2 + 2*g**3 - 5*g**2/2 + g.
-g*(g - 2)*(g - 1)**2/2
Factor -s**5/3 - 20*s**4/3 - 37*s**3/3 - 6*s**2.
-s**2*(s + 1)**2*(s + 18)/3
Determine g, given that -4*g**5 - 64*g**4 - 108*g**3 + 64*g**2 + 112*g = 0.
-14, -2, -1, 0, 1
Find z such that -5*z**3 + 535*z**2 - 14040*z - 14580 = 0.
-1, 54
Factor 4*v**3 + 140*v**2 + 1292*v + 1156.
4*(v + 1)*(v + 17)**2
Factor f**4/5 + 2*f**3/5 - 8*f**2/5 - 18*f/5 - 9/5.
(f - 3)*(f + 1)**2*(f + 3)/5
Factor -2*v**3/9 - 8*v**2/9 + 8*v/3.
-2*v*(v - 2)*(v + 6)/9
Suppose 7*f**5 + 17*f**4 + 9*f**3 - 5*f**2 - 4*f = 0. What is f?
-1, 0, 4/7
Suppose 3*d**5/2 - 15*d**4/2 + 3*d**3 + 21*d**2 - 9*d/2 - 27/2 = 0. Calculate d.
-1, 1, 3
Suppose -3*p**2 - 219*p - 216 = 0. What is p?
-72, -1
Factor -5*w**4 - 95*w**3 - 385*w**2 - 505*w - 210.
-5*(w + 1)**2*(w + 3)*(w + 14)
Suppose -3*b**2/2 - 13*b/4 - 7/4 = 0. Calculate b.
-7/6, -1
Factor -8*y**3 - 532*y**2 - 784*y - 260.
-4*(y + 1)*(y + 65)*(2*y + 1)
Suppose -2*o**4/5 - 8*o**3/5 + 2*o**2/5 + 32*o/5 + 24/5 = 0. What is o?
-3, -2, -1, 2
Factor 2*p**2 + 344*p + 680.
2*(p + 2)*(p + 170)
Find p, given that -5*p**4 + 300*p**3 = 0.
0, 60
Factor -2*x**4 + 116*x**3 - 1682*x**2.
-2*x**2*(x - 29)**2
Factor -k**3/2 + 34*k**2 - 741*k/2 - 7605.
-(k - 39)**2*(k + 10)/2
Let -c**2 - 7*c = 0. What is c?
-7, 0
Factor 3*t**3 + 9*t**2 - 12*t.
3*t*(t - 1)*(t + 4)
Let -p**3/2 + 783*p**2/2 + 1178*p + 786 = 0. Calculate p.
-2, -1, 786
Find t, given that 4*t**3 + 112*t**2 + 1040*t + 3200 = 0.
-10, -8
Let 5*w**4 - 176*w**3 + 1249*w**2 + 5966*w - 8664 = 0. Calculate w.
-4, 6/5, 19
What is l in 5*l**5 + 110*l**4 + 300*l**3 + 290*l**2 + 95*l = 0?
-19, -1, 0
Factor 22*m**4/19 - 48*m**3/19 + 30*m**2/19 - 4*m/19.
2*m*(m - 1)**2*(11*m - 2)/19
Find o such that 2916*o**5 + 29592*o**4 + 53908*o**3 + 30832*o**2 + 3728*o + 128 = 0.
-8, -1, -2/27
Factor -3*g**3/2 - 633*g**2/2 - 17160*g - 48672.
-3*(g + 3)*(g + 104)**2/2
Factor p**2/3 + 250*p/3 + 15625/3.
(p + 125)**2/3
Factor -5*a**3 - 570*a**2 - 21660*a - 274360.
-5*(a + 38)**3
Find c such that -5*c**5 - 35*c**4 - 60*c**3 + 20*c**2 + 80*c = 0.
-4, -2, 0, 1
Solve -21*m**4 + 909*m**3 - 237*m**2 - 909*m + 258 = 0 for m.
-1, 2/7, 1, 43
Factor -5*m**3 - 690*m**2 - 2695*m - 2010.
-5*(m + 1)*(m + 3)*(m + 134)
Factor 5*h**3/2 + 12*h**2 + 15*h/2 - 2.
(h + 1)*(h + 4)*(5*h - 1)/2
Factor 4*z**2 + 568*z - 572.
4*(z - 1)*(z + 143)
Determine l so that 3*l**4 + 426*l**3 + 15123*l**2 = 0.
-71, 0
Factor -25*u**3 + 13780*u**2 + 11036*u + 2208.
-(u - 552)*(5*u + 2)**2
Determine d so that 32*d**4/7 + 176*d**3/7 + 306*d**2/7 + 216*d/7 + 54/7 = 0.
-3, -1, -3/4
Factor 3*m**4/8 + 15*m**3/4 + 99*m**2/8 + 33*m/2 + 15/2.
3*(m + 1)*(m + 2)**2*(m + 5)/8
What is z in -2*z**4/5 + 4*z**3/5 + 26*z**2/5 + 4*z = 0?
-2, -1, 0, 5
Suppose -5*q**5 + 15*q**4 + 5*q**3 - 15*q**2 = 0. What is q?
-1, 0, 1, 3
Solve 6*p**5 - 364*p**4 + 3390*p**3 + 71400*p**2 - 49000*p = 0.
-10, 0, 2/3, 35
Let -m**2 - 21*m + 22 = 0. What is m?
-22, 1
Solve -4*a**5/9 + 20*a**4/9 - 20*a**3/9 - 20*a**2/9 + 8*a/3 = 0.
-1, 0, 1, 2, 3
What is d in 4*d**2 - 2740*d = 0?
0, 685
Factor -4*j**2 - 10736*j - 7203856.
-4*(j + 1342)**2
Let 3*m**4/8 + 249*m**3/8 + 2235*m**2/4 - 3828*m - 4356 = 0. What is m?
-44, -1, 6
Factor 5*s**3 - 535*s**2 + 3530*s - 3000.
5*(s - 100)*(s - 6)*(s - 1)
Factor a**3 - 7*a**2 + 16*a - 12.
(a - 3)*(a - 2)**2
Suppose 2*h**5/9 - 16*h**4/9 + 44*h**3/9 - 16*h**2/3 + 2*h = 0. Calculate h.
0, 1, 3
Factor h**4 + 504*h**3 + 62998*h**2 - 127512*h + 64009.
(h - 1)**2*(h + 253)**2
Factor -v**5 + 20*v**4 - 153*v**3 + 554*v**2 - 940*v + 600.
-(v - 6)*(v - 5)**2*(v - 2)**2
Find y, given that y*