80/3 = 0.
-7, 1, 2
Solve -5*l**2/6 - 55*l/3 + 465/2 = 0 for l.
-31, 9
Find k such that 5*k**2 - 35*k - 220 = 0.
-4, 11
Factor -70*w**2 + 82*w - 12.
-2*(w - 1)*(35*w - 6)
Determine t, given that -2*t**4 + 24*t**3 - 70*t**2 - 24*t + 72 = 0.
-1, 1, 6
Factor 4*z**4 - 352*z**3 + 6992*z**2 + 33856*z.
4*z*(z - 46)**2*(z + 4)
Factor 3*c**3 + 12*c**2 - 63*c.
3*c*(c - 3)*(c + 7)
Factor -x**5/6 + 135*x**4 - 806*x**3 + 4828*x**2/3 - 1072*x.
-x*(x - 804)*(x - 2)**3/6
Factor -4*w**5 - 20*w**4 - 32*w**3 - 16*w**2.
-4*w**2*(w + 1)*(w + 2)**2
Determine w so that -5*w**2 - 80*w + 960 = 0.
-24, 8
Suppose 2*k**2 - 880*k + 96800 = 0. Calculate k.
220
What is s in -16*s**5 - 436*s**4 - 492*s**3 + 736*s**2 + 208*s = 0?
-26, -2, -1/4, 0, 1
Factor -2*s**2/23 - 1430*s/23 - 124.
-2*(s + 2)*(s + 713)/23
Factor -z**3 + 23*z**2 - 150*z + 216.
-(z - 12)*(z - 9)*(z - 2)
Factor -c**2/10 + 89*c/10 - 79.
-(c - 79)*(c - 10)/10
Let 25*i**5/2 + 86*i**4/3 + 34*i**3/3 - 13*i**2 - 47*i/6 + 1/3 = 0. Calculate i.
-1, 1/25, 2/3
Suppose 3*u**5/2 - 27*u**4/2 + 39*u**3 - 36*u**2 = 0. What is u?
0, 2, 3, 4
Let -3*z**3/2 + 63*z**2/2 + 135*z/2 + 69/2 = 0. Calculate z.
-1, 23
Determine q, given that q**2/3 + 384*q + 110592 = 0.
-576
Determine m, given that -14*m**5 - 486*m**4 - 336*m**3 + 136*m**2 = 0.
-34, -1, 0, 2/7
Factor i**3/4 - 123*i**2/4 + 3843*i/4 - 3721/4.
(i - 61)**2*(i - 1)/4
Let 4*x**3/5 + 28*x**2/5 + 48*x/5 = 0. What is x?
-4, -3, 0
Determine d so that -6*d**5/11 + 62*d**4/11 - 196*d**3/11 + 128*d**2/11 + 192*d/11 = 0.
-2/3, 0, 3, 4
Factor 2*s**2/11 - 28*s/11 - 30/11.
2*(s - 15)*(s + 1)/11
Factor -3*d**4/7 + 9*d**3/7 + 3*d**2/7 - 9*d/7.
-3*d*(d - 3)*(d - 1)*(d + 1)/7
Factor -4*v**4 - 1384*v**3 - 158688*v**2 - 5920640*v + 12487168.
-4*(v - 2)*(v + 116)**3
Factor 13*d**3/6 - 109*d**2/2 + 25*d/3.
d*(d - 25)*(13*d - 2)/6
Let -7*w**3 - 120*w**2 + 109*w + 18 = 0. What is w?
-18, -1/7, 1
Let c**2/2 - 23*c/2 + 30 = 0. What is c?
3, 20
Factor 3*u**2/2 + 2*u - 10.
(u - 2)*(3*u + 10)/2
Determine k so that 3*k**2/5 + 381*k/5 - 1572/5 = 0.
-131, 4
Factor 5*t**2/2 + 6*t.
t*(5*t + 12)/2
Let 5*c**5 - 200*c**4 - 210*c**3 + 200*c**2 + 205*c = 0. What is c?
-1, 0, 1, 41
Factor 16*y**2 + 44*y + 28.
4*(y + 1)*(4*y + 7)
Factor 2*w**2/13 - 18*w/13 - 72/13.
2*(w - 12)*(w + 3)/13
Factor 9*u**4/2 - 133*u**3/2 - 87*u**2 - 16*u.
u*(u - 16)*(u + 1)*(9*u + 2)/2
Find u, given that -u**4/11 + 17*u**3/11 - 59*u**2/11 - 7*u = 0.
-1, 0, 7, 11
Factor 4*q**2 - 176*q + 1936.
4*(q - 22)**2
Solve 3*h**5/7 + 9*h**4/7 - 3*h**3/7 - 33*h**2/7 - 36*h/7 - 12/7 = 0.
-2, -1, 2
Factor 2*f**5/9 - 28*f**4/9 + 40*f**3/3 - 100*f**2/9 - 250*f/9.
2*f*(f - 5)**3*(f + 1)/9
Let -4*m**2/3 + 5693*m/3 - 1423/3 = 0. Calculate m.
1/4, 1423
Factor 4*w**2 + 49*w + 12.
(w + 12)*(4*w + 1)
Determine w, given that -2*w**4/3 - 62*w**3/3 + 2*w**2/3 + 62*w/3 = 0.
-31, -1, 0, 1
Factor -2*x**5 - 18*x**4 - 42*x**3 - 38*x**2 - 12*x.
-2*x*(x + 1)**3*(x + 6)
Let -2*x**5/11 + 26*x**4/11 + 98*x**3/11 - 26*x**2/11 - 96*x/11 = 0. Calculate x.
-3, -1, 0, 1, 16
Find j such that -3*j**2/8 - 81*j/8 = 0.
-27, 0
Factor -3*j**2 - 240*j + 243.
-3*(j - 1)*(j + 81)
Factor w**3 + 3*w**2 - 16*w + 12.
(w - 2)*(w - 1)*(w + 6)
Suppose k**3/3 - 12*k**2 + 60*k = 0. What is k?
0, 6, 30
Factor 10*z**3/13 - 166*z**2/13 - 68*z/13.
2*z*(z - 17)*(5*z + 2)/13
Suppose -h**4/7 - 74*h**3/7 - 1509*h**2/7 - 740*h - 700 = 0. What is h?
-35, -2
Factor -2*k**4/5 + 6*k**3/5 + 8*k**2/5.
-2*k**2*(k - 4)*(k + 1)/5
Factor 2*v**3/15 - 8*v**2 + 438*v/5 - 1196/15.
2*(v - 46)*(v - 13)*(v - 1)/15
Factor 4*x**3 - 2229*x**2 + 557*x.
x*(x - 557)*(4*x - 1)
What is y in -3532482*y**3/7 + 3527166*y**2/7 + 5314*y/7 + 2/7 = 0?
-1/1329, 1
Factor -2*t**3/3 + 962*t**2/3 - 38720*t + 38400.
-2*(t - 240)**2*(t - 1)/3
Factor -278258*v**2/9 - 1492*v/9 - 2/9.
-2*(373*v + 1)**2/9
Factor l**4/4 - 5*l**3 - 69*l**2/4.
l**2*(l - 23)*(l + 3)/4
Factor -f**2/2 - f/2.
-f*(f + 1)/2
Factor 5*j**3 - 235*j**2 + 600*j + 58500.
5*(j - 30)**2*(j + 13)
Factor 2*t**4/5 + 2*t**3/5 - 42*t**2/5 - 18*t.
2*t*(t - 5)*(t + 3)**2/5
Factor -5*c**4 + 5*c**3 + 25*c**2 + 15*c.
-5*c*(c - 3)*(c + 1)**2
Suppose r**2/4 - 170*r + 28900 = 0. What is r?
340
Suppose q**4 + 4*q**3 - 30*q**2 - 100*q + 125 = 0. Calculate q.
-5, 1, 5
Factor 4*s**4 - 684*s**3 - 2076*s**2 - 2084*s - 696.
4*(s - 174)*(s + 1)**3
Find u such that -u**2/2 - 2*u - 3/2 = 0.
-3, -1
Determine c, given that -2*c**2/5 + 6764*c/5 - 5718962/5 = 0.
1691
Factor -p**4/8 - p**3/8 + 15*p**2/8 - 23*p/8 + 5/4.
-(p - 2)*(p - 1)**2*(p + 5)/8
What is o in 2*o**3/15 - 2*o**2/5 + 4*o/15 = 0?
0, 1, 2
Let -3*h**3/4 - 9*h**2/8 - 3*h/8 = 0. Calculate h.
-1, -1/2, 0
Factor -4*v**2 + 56*v - 132.
-4*(v - 11)*(v - 3)
Factor v**3/5 + 57*v**2/5 + 891*v/5 + 2187/5.
(v + 3)*(v + 27)**2/5
Solve -5*t**3 - 190*t**2 = 0.
-38, 0
Determine b, given that -5*b**5 - 45*b**4 + 20*b**3 + 180*b**2 = 0.
-9, -2, 0, 2
Factor -5*l**4 + 45*l**3 - 135*l**2 + 135*l.
-5*l*(l - 3)**3
Solve -2*l**4/15 + 16*l**3/15 - 2*l**2/15 - 52*l/5 + 48/5 = 0 for l.
-3, 1, 4, 6
Solve -2*x**3 + 430*x**2 - 23326*x + 22898 = 0.
1, 107
Factor 2*z**4 + 691*z**3 + 60201*z**2 + 89096*z + 29584.
(z + 1)*(z + 172)**2*(2*z + 1)
Factor -2*f**5 - 2*f**4 + 2*f**3 + 2*f**2.
-2*f**2*(f - 1)*(f + 1)**2
Factor -3*x**4 - 57*x**3.
-3*x**3*(x + 19)
What is v in -2*v**4/3 + 28*v**3/3 + 32*v**2/3 - 28*v/3 - 10 = 0?
-1, 1, 15
Find i, given that 4*i**4 - 48*i**3 + 40*i**2 + 48*i - 44 = 0.
-1, 1, 11
Factor -o**2/2 + 28*o - 392.
-(o - 28)**2/2
Factor w**3 + 116*w**2 + 3245*w - 6962.
(w - 2)*(w + 59)**2
Solve -2*z**5/13 - 6*z**4/13 + 8*z**2/13 = 0 for z.
-2, 0, 1
Factor f**4 - 25*f**3 + 211*f**2 - 735*f + 900.
(f - 12)*(f - 5)**2*(f - 3)
Let 126*f**4/11 + 272*f**3/11 - 86*f**2/11 - 272*f/11 - 40/11 = 0. What is f?
-2, -1, -10/63, 1
Find x such that -x**5/3 + 31*x**4/3 - 139*x**3/3 + 241*x**2/3 - 184*x/3 + 52/3 = 0.
1, 2, 26
Factor -265*r**2 - 790*r + 15.
-5*(r + 3)*(53*r - 1)
Solve 2*v**4 - 138*v**3 - 1580*v**2 = 0.
-10, 0, 79
Solve -2*o**2/3 + 22*o/3 + 28 = 0 for o.
-3, 14
Solve 4*w**2 + 1704*w + 1700 = 0.
-425, -1
Find v such that 5*v**3 - 5*v**2 - 50*v - 40 = 0.
-2, -1, 4
Factor -43*u**3 - 259*u**2/2 - 3*u/2.
-u*(u + 3)*(86*u + 1)/2
What is h in 3*h**4/2 + 39*h**3/2 + 36*h**2 - 162*h = 0?
-9, -6, 0, 2
Factor -100*m**3 - 44880*m**2 - 35856*m - 7168.
-4*(m + 448)*(5*m + 2)**2
Solve -3*j**4 - 6*j**3 + 225*j**2 - 192*j - 420 = 0 for j.
-10, -1, 2, 7
Determine i, given that -3*i**5 + 30*i**4 - 63*i**3 - 108*i**2 + 324*i = 0.
-2, 0, 3, 6
Determine q, given that -2*q**2 + 33996*q - 144466002 = 0.
8499
Determine u, given that -2*u**3/9 + 62*u**2/9 - 20*u/3 = 0.
0, 1, 30
Let -2*m**2/19 - 300*m/19 - 298/19 = 0. What is m?
-149, -1
Determine w so that 2*w**4 - 48*w**3 - 162*w**2 = 0.
-3, 0, 27
Factor -3*t**4/5 - 201*t**3/5 - 198*t**2/5.
-3*t**2*(t + 1)*(t + 66)/5
Factor m**2/5 + m - 14/5.
(m - 2)*(m + 7)/5
Solve 5*b**4 + 75*b**3 + 315*b**2 + 245*b = 0.
-7, -1, 0
Determine r, given that -r**3/5 + 3*r/5 + 2/5 = 0.
-1, 2
Solve 3*x**3 + 282*x**2 - 13068*x + 126360 = 0 for x.
-130, 18
Find r such that 3*r**5 - 15*r**3 + 12*r = 0.
-2, -1, 0, 1, 2
Factor -j**2 - 2086*j - 1087849.
-(j + 1043)**2
Solve h**5 - 5*h**4 - 5*h**3 + 25*h**2 + 4*h - 20 = 0.
-2, -1, 1, 2, 5
What is m in 5*m**5 + 85*m**4 + 70*m**3 - 160*m**2 = 0?
-16, -2, 0, 1
Factor 2*x**3/9 + 32*x**2/9 - 512*x/9 - 8192/9.
2*(x - 16)*(x + 16)**2/9
Determine p so that -5*p**2/2 - 10*p = 0.
-4, 0
What is y in 2*y**3/13 - 48*y**2 - 630*y/13 + 1252/13 = 0?
-2, 1, 313
Let -3*n**3/4 + 18*n**2 + 27*n/4 - 162 = 0. What is n?
-3, 3, 24
Factor 3*r**4 - 6*r**3 - 327*r**2 + 330*r.
3*r*(r - 11)*(r - 1)*(r + 10)
Suppose i**4/8 - 2193*i**3/4 + 601156*i**2 + 2193*i/4 - 4809249/8 = 0. Calculate i.
-1, 1, 2193
Factor -3*s**4/7 - 1494*s**3/7 - 186003*s**2/7.
-3*s**2*(s + 249)**2/7
Find f, given that 4*f**4/3 + 268*f**3/3 + 2348*f**2/3 + 3908*f/3 + 608 = 0.
-57, -8, -1
Let -6*s**5/19 - 2*s**4/19 + 12*s**3/19 + 4*s**2/19 - 6*s/19 - 2/19 = 0. Calculate s.
-1, -1/3, 1
Factor w**2/4 - 25*w/4 + 39.
(w - 13)*(w - 12)/4
Let 4*h**3 + 16*h**2 + 12*h = 0. What is h?
-3, -1, 0
Find w such that 2*w**4/9 + 10*w**3/9 - 4*w**2/3 = 0.
-6, 0, 1
Factor 13*q**3 - 90*q**2 + 71*q + 6.
(q - 6)*(q - 1)*(13*q + 1)
Find f such that -2*f**5/17 - 42*f**4/17 + 260*f**3/17 = 0