2, 1, 2
Determine j so that -4*j**4 + 43*j**3 - 75*j**2 - 288*j + 324 = 0.
-9/4, 1, 6
Let 2*o**5/9 - 62*o**4/9 - 4*o**3/9 + 124*o**2/9 + 2*o/9 - 62/9 = 0. What is o?
-1, 1, 31
Solve -u**4/5 + 277*u**3 + 1388*u**2/5 - 2772*u/5 = 0 for u.
-2, 0, 1, 1386
Let 3*n**4/5 - 9*n**3/5 - 18*n**2/5 + 84*n/5 - 72/5 = 0. Calculate n.
-3, 2
Suppose 4*w**4 + 920*w**3/7 + 1632*w**2/7 + 88*w - 124/7 = 0. What is w?
-31, -1, 1/7
Factor -5*r**4 + 30*r**3 - 45*r**2 - 20*r + 60.
-5*(r - 3)*(r - 2)**2*(r + 1)
Factor 4*w**5 - 60*w**4 + 104*w**3 + 1736*w**2 - 5292*w - 6860.
4*(w - 7)**3*(w + 1)*(w + 5)
Determine h, given that h**4 + 46*h**3 + 87*h**2 - 46*h - 88 = 0.
-44, -2, -1, 1
Factor -2*x**3/9 + 16*x**2/3 - 56*x/3 + 160/9.
-2*(x - 20)*(x - 2)**2/9
Solve -16*x**5 - 80*x**4 - 68*x**3 - 16*x**2 = 0 for x.
-4, -1/2, 0
Find t, given that -468075*t**2/4 + 1185*t/2 - 3/4 = 0.
1/395
Factor -k**2 + 20*k - 100.
-(k - 10)**2
Factor 2*o**3 + o**2 - 15*o - 18.
(o - 3)*(o + 2)*(2*o + 3)
Find s, given that 2*s**4/13 - 10*s**3/13 + 8*s**2/13 = 0.
0, 1, 4
Factor p**2 - 363*p + 1080.
(p - 360)*(p - 3)
Suppose -l**4/8 + 91*l**3/8 - 45*l**2/4 = 0. Calculate l.
0, 1, 90
Factor -5*v**5/9 + 92*v**4/9 + 19*v**3/3.
-v**3*(v - 19)*(5*v + 3)/9
Solve 4*l**4 - 44*l**2 + 72*l - 32 = 0 for l.
-4, 1, 2
Factor 3*c**3/2 + 63*c**2/2 + 84*c + 54.
3*(c + 1)*(c + 2)*(c + 18)/2
Suppose k**2/7 + 71*k/7 = 0. Calculate k.
-71, 0
Suppose 75*p**2/4 - 645*p/2 + 5547/4 = 0. Calculate p.
43/5
Factor v**2/9 - 55*v/9 + 98/3.
(v - 49)*(v - 6)/9
Factor b**5/5 - 6*b**4/5 + b**3 + 24*b**2/5 - 36*b/5.
b*(b - 3)**2*(b - 2)*(b + 2)/5
Factor -4*j**4 + 48*j**3 + 396*j**2 + 632*j + 288.
-4*(j - 18)*(j + 1)**2*(j + 4)
Find n, given that n**3/8 - 1591*n**2/4 + 2531281*n/8 = 0.
0, 1591
Factor 2*y**3 + 20*y**2 + 34*y + 16.
2*(y + 1)**2*(y + 8)
Find b such that b**4 - 4*b**3 - 13*b**2 + 4*b + 12 = 0.
-2, -1, 1, 6
Determine g, given that 5*g**5 - 40*g**4 - 10*g**3 + 80*g**2 + 5*g - 40 = 0.
-1, 1, 8
Factor 24*z**4 - 28*z**3 + 4*z**2.
4*z**2*(z - 1)*(6*z - 1)
Factor -3*i**2/2 + 16395*i/2 + 8199.
-3*(i - 5466)*(i + 1)/2
Factor 3*k**2/5 + 57*k/5 - 12.
3*(k - 1)*(k + 20)/5
Factor -2*x**3/3 - 40*x**2 + 82*x - 124/3.
-2*(x - 1)**2*(x + 62)/3
Find t, given that -2*t**5/9 - 8*t**4/3 - 94*t**3/9 - 104*t**2/9 + 32*t/3 + 128/9 = 0.
-4, -1, 1
Determine l, given that -2*l**4/5 - 118*l**3/5 + 624*l**2/5 - 1016*l/5 + 512/5 = 0.
-64, 1, 2
Factor -3*l**3 - 396*l**2 + 5151*l - 4752.
-3*(l - 11)*(l - 1)*(l + 144)
Suppose -a**4/3 + 2*a**3 - 5*a**2/3 - 8*a + 12 = 0. What is a?
-2, 2, 3
Suppose -10*q**4/9 - 56*q**3/9 + 98*q**2/3 - 12*q = 0. What is q?
-9, 0, 2/5, 3
Factor a**4 + 4*a**3 - 30*a**2 - 100*a + 125.
(a - 5)*(a - 1)*(a + 5)**2
Factor -q**3/5 + 11*q**2/5 - 7*q/5 - 147/5.
-(q - 7)**2*(q + 3)/5
Factor b**4/2 - 25*b**3/2 + 143*b**2/2 - 119*b/2.
b*(b - 17)*(b - 7)*(b - 1)/2
Determine m, given that -4*m**5 + 72*m**4 + 172*m**3 - 224*m**2 - 336*m + 320 = 0.
-2, 1, 20
Suppose 3*b**2 + 294*b + 291 = 0. What is b?
-97, -1
Factor 2*u**2/5 + 144*u/5.
2*u*(u + 72)/5
Determine l so that -2*l**2/5 - 8*l - 40 = 0.
-10
Suppose -4*b**4 + 16*b**3 + 24*b**2 - 16*b - 20 = 0. What is b?
-1, 1, 5
Factor -m**4 - 3*m**3 + 3*m**2 + 7*m - 6.
-(m - 1)**2*(m + 2)*(m + 3)
Let -29*t**2/7 - t/7 = 0. Calculate t.
-1/29, 0
Suppose 4*o**3 - 4*o**2 = 0. What is o?
0, 1
Factor 4*u**2 - 1320*u.
4*u*(u - 330)
Suppose 5*k**4 - 1135*k**3 + 66090*k**2 - 190400*k + 125440 = 0. What is k?
1, 2, 112
Let -2*r**5 - 18*r**4 - 46*r**3 - 6*r**2 + 72*r = 0. What is r?
-4, -3, 0, 1
Factor s**3/8 - 235*s**2/8 + 13923*s/8 - 13689/8.
(s - 117)**2*(s - 1)/8
Solve 28*h**5 + 8*h**4 - 252*h**3 - 72*h**2 = 0 for h.
-3, -2/7, 0, 3
Factor -2*d**2 + 8*d + 24.
-2*(d - 6)*(d + 2)
Factor -g**2 - 6388*g - 10201636.
-(g + 3194)**2
Factor r**2/6 + 3*r/2 - 341/3.
(r - 22)*(r + 31)/6
Solve -4*n**3 - 684*n**2 - 29580*n - 28900 = 0.
-85, -1
Factor 3*m**2 + 1047*m.
3*m*(m + 349)
Factor 3*k**2/4 + 9*k/2 - 81/4.
3*(k - 3)*(k + 9)/4
Factor -g**4/2 + 7*g**3/2 + 241*g**2/2 - 247*g/2.
-g*(g - 19)*(g - 1)*(g + 13)/2
Solve -2*y**2 + 340*y - 1002 = 0.
3, 167
Suppose -15*d**5 + 80*d**4 - 75*d**3 - 90*d**2 = 0. What is d?
-2/3, 0, 3
Factor -c**4 + 13*c**3 - 22*c**2.
-c**2*(c - 11)*(c - 2)
Solve 3*q**4 + 9*q**3 - 27*q**2 + 15*q = 0.
-5, 0, 1
Suppose j**2 + 7*j/4 - 1/2 = 0. Calculate j.
-2, 1/4
Solve 2*b**2/3 + 104*b/3 + 34 = 0 for b.
-51, -1
Factor -361*q**3 + 893*q**2 + 3984*q + 2880.
-(q - 5)*(19*q + 24)**2
Solve -t**4/2 + 3031*t**3/2 - 2298253*t**2/2 + 2289165*t/2 + 2295225 = 0.
-1, 2, 1515
Factor m**2 + 12*m.
m*(m + 12)
Solve t**5/10 + 19*t**4/5 + 101*t**3/2 + 1314*t**2/5 + 1944*t/5 + 864/5 = 0 for t.
-12, -1
Suppose -2*x**2/17 - 16*x/17 = 0. What is x?
-8, 0
Let -z**3 + 25*z**2/3 + 50*z/3 = 0. What is z?
-5/3, 0, 10
Factor -3*g**4/2 + 57*g**3 - 756*g**2 + 3888*g - 5184.
-3*(g - 12)**3*(g - 2)/2
Determine l, given that 2*l**4 - 118*l**3 + 342*l**2 - 338*l + 112 = 0.
1, 56
Factor -2*m**3 + 4*m**2 + 2*m - 4.
-2*(m - 2)*(m - 1)*(m + 1)
What is a in a**3 - 2*a**2 - 11*a + 12 = 0?
-3, 1, 4
Find p such that -p**4 + 9*p**3 - 22*p**2 + 32 = 0.
-1, 2, 4
Factor -3*b**3 + 3*b**2 + 3*b - 3.
-3*(b - 1)**2*(b + 1)
Let 2*v**3/7 + 36*v**2/7 - 78*v/7 + 40/7 = 0. What is v?
-20, 1
Find j such that 2*j**5/3 - 4*j**4 - 18*j**3 - 8*j**2/3 + 24*j = 0.
-2, 0, 1, 9
Suppose -f**4/2 - f**3/2 + 15*f**2/2 - 23*f/2 + 5 = 0. Calculate f.
-5, 1, 2
Suppose -n**5/5 + 46*n**4/5 - 424*n**3/5 - 2546*n**2/5 + 85*n + 500 = 0. Calculate n.
-4, -1, 1, 25
Factor -5*a**5 + 40*a**4 - 60*a**3 - 10*a**2 + 65*a - 30.
-5*(a - 6)*(a - 1)**3*(a + 1)
Factor 4*u**3/7 - 24*u**2/7 - 4*u/7 + 24/7.
4*(u - 6)*(u - 1)*(u + 1)/7
Find v such that -2*v**4/5 - 28*v**3/5 - 26*v**2 - 248*v/5 - 168/5 = 0.
-7, -3, -2
Determine m, given that -10*m**3 + 25*m**2 + 55*m + 20 = 0.
-1, -1/2, 4
Factor -m**4/8 + 9*m**3/8 - 7*m**2/4.
-m**2*(m - 7)*(m - 2)/8
Factor f**5 + 9*f**4 - 3*f**3 - 29*f**2 - 18*f.
f*(f - 2)*(f + 1)**2*(f + 9)
Factor -2*q**2 + 164*q - 162.
-2*(q - 81)*(q - 1)
Find x, given that -3*x**3 - 9*x**2 + 27*x - 15 = 0.
-5, 1
Factor 3*a**5 - 51*a**4 - 171*a**3 - 177*a**2 - 60*a.
3*a*(a - 20)*(a + 1)**3
What is b in b**3/3 - 5*b**2 + 9*b + 81 = 0?
-3, 9
Factor -t**5/3 + t**4/3 + 2*t**3/3 - 2*t**2/3 - t/3 + 1/3.
-(t - 1)**3*(t + 1)**2/3
Factor 3*d**5/8 + 3*d**4/8 - 9*d**3/8 - 15*d**2/8 - 3*d/4.
3*d*(d - 2)*(d + 1)**3/8
Solve -30*t**2/7 + 26*t/7 = 0.
0, 13/15
Solve -20*j**5 - 24*j**4 + 96*j**3 - 40*j**2 - 12*j = 0.
-3, -1/5, 0, 1
Factor 3*g**3/5 + 54*g**2 + 783*g/5.
3*g*(g + 3)*(g + 87)/5
Let -p**5/3 + p**4 + 28*p**3/3 - 20*p**2 = 0. What is p?
-5, 0, 2, 6
Let -8*x**5/9 - 10*x**4/9 + 4*x**3/3 + 16*x**2/9 - 4*x/9 - 2/3 = 0. Calculate x.
-1, 3/4, 1
Factor 6*v**3 + 1114*v**2 + 51522*v - 17298.
2*(v + 93)**2*(3*v - 1)
Factor -128*v**4 - 112*v**3 + 234*v**2 - 405*v/4 + 27/2.
-(v + 2)*(8*v - 3)**3/4
Factor 4*j**5 - 36*j**4 + 32*j**3 + 512*j**2 - 1536*j + 1024.
4*(j - 4)**3*(j - 1)*(j + 4)
Factor -2*b**2/3 + 12*b - 54.
-2*(b - 9)**2/3
Determine i so that i**2/6 - 3*i + 17/6 = 0.
1, 17
Let -75*l**5 - 245*l**4 - 56*l**3 + 12*l**2 = 0. What is l?
-3, -2/5, 0, 2/15
Solve -2*c**2/7 + 64*c/7 - 120/7 = 0.
2, 30
Factor 5*d**2/6 + 15*d - 95/6.
5*(d - 1)*(d + 19)/6
Factor 2*w**3/9 - 4*w**2/3 + 22*w/9 - 4/3.
2*(w - 3)*(w - 2)*(w - 1)/9
Factor 4*n**2 + 424*n - 428.
4*(n - 1)*(n + 107)
Factor 10*g**3 + 575*g**2 + 1905*g + 810.
5*(g + 3)*(g + 54)*(2*g + 1)
Factor s**2 - 115*s + 336.
(s - 112)*(s - 3)
Factor 2*g**2/3 - 2018*g/3 - 1348.
2*(g - 1011)*(g + 2)/3
Suppose -f**2 + 404*f - 403 = 0. What is f?
1, 403
Solve -3*c**3 + 171*c**2 - 2349*c - 2523 = 0.
-1, 29
Factor 2*z**3 - 1062*z**2 - 2130*z - 1066.
2*(z - 533)*(z + 1)**2
Solve -57*q**3 - 36018*q**2 - 5688000*q + 599136 = 0 for q.
-316, 2/19
Solve -b**2/7 + 99*b/7 + 106 = 0 for b.
-7, 106
Let -o**2/4 - 501*o/2 - 251001/4 = 0. What is o?
-501
Find g, given that 2*g**2/5 + 214*g/5 - 216/5 = 0.
-108, 1
Let 2*x**4/5 - 2*x**3/5 - 2*x**2/5 + 2*x/5 = 0. What is x?
-1, 0, 1
Factor -2*m**5/11 - 50*m**4/11.
-2*m**4*(m + 25)/11
Factor -5*u**2 + 70*u + 75.
-5*(u - 15)*(u + 1)
Factor 2*g**5 + 14*g**4 + 36*g**3 + 40*g**2 + 16*g.
2*g*(g + 1)*(g + 2)**3
Find v such that -4*v**2/3 + 40*v/3 - 12 = 0.
1, 9
Factor 3*u**2/4 + 45*u/4 - 51/2.
3*(u - 2)*(u + 17)/4
Fact