)/7
Factor f**5/4 - 5*f**4/4 - f**3/4 + 5*f**2/4.
f**2*(f - 5)*(f - 1)*(f + 1)/4
Find s, given that 75*s**2 + 70*s = 0.
-14/15, 0
Factor 4*c**5/7 - 15*c**4/7 - 4*c**3/7.
c**3*(c - 4)*(4*c + 1)/7
Solve j**4/3 - 2*j**3 - 8*j**2 - 26*j/3 - 3 = 0 for j.
-1, 9
Let -3*j**3/5 + 1548*j**2/5 - 266256*j/5 + 15265344/5 = 0. What is j?
172
Suppose 8*u**5 - 82*u**4 + 84*u**3 + 64*u**2 - 92*u + 18 = 0. What is u?
-1, 1/4, 1, 9
Factor 5*l**4 - 6485*l**3 - 12985*l**2 - 6495*l.
5*l*(l - 1299)*(l + 1)**2
Factor -q**3/6 + 17*q**2/3 - 95*q/6 + 31/3.
-(q - 31)*(q - 2)*(q - 1)/6
Solve -y**5/3 - 23*y**4/3 - 91*y**3/3 + 503*y**2/3 - 104*y/3 - 676/3 = 0.
-13, -1, 2
Find i such that 2*i**2/13 + 9320*i/13 + 10857800/13 = 0.
-2330
Factor -j**2/3 - 404*j/3 - 40804/3.
-(j + 202)**2/3
Factor 4*g**2 - 336*g + 7056.
4*(g - 42)**2
Factor 3*i**2 + 6*i - 240.
3*(i - 8)*(i + 10)
Let -4*m**2/5 - 48*m/5 + 52/5 = 0. What is m?
-13, 1
Suppose -4*h**4/3 + 28*h**2/3 - 8*h = 0. What is h?
-3, 0, 1, 2
Factor 3*s**2 - 54*s - 57.
3*(s - 19)*(s + 1)
Factor -t**4/7 - 167*t**3/7 + 507*t**2/7 - 509*t/7 + 170/7.
-(t - 1)**3*(t + 170)/7
Let 2*s**2/11 + 108*s/11 + 1458/11 = 0. What is s?
-27
Factor 3*m**4 - 120*m**3 - 459*m**2 + 3180*m - 3612.
3*(m - 43)*(m - 2)**2*(m + 7)
Factor -5*p**2 + 9115*p + 9120.
-5*(p - 1824)*(p + 1)
Factor -2*m**4 - 18*m**3 - 18*m**2 + 98*m - 60.
-2*(m - 1)**2*(m + 5)*(m + 6)
Suppose 3*z**3/2 + 585*z**2/2 + 38025*z/2 + 823875/2 = 0. What is z?
-65
Find k, given that -3*k**5/2 + 675*k**4/2 - 19485*k**3 + 56445*k**2 - 111555*k/2 + 36963/2 = 0.
1, 111
Let -4*k**4 + 32*k**3 - 28*k**2 = 0. What is k?
0, 1, 7
Solve -2*b**3/3 + 17*b**2/6 - 2*b/3 = 0.
0, 1/4, 4
Let -c**3/4 + 83*c**2/4 + 86*c + 87 = 0. What is c?
-2, 87
Solve -h**4/3 - 73*h**3/6 - 353*h**2/3 - 935*h/6 - 50 = 0 for h.
-20, -15, -1, -1/2
Factor -122*s**2/7 + 6*s/7.
-2*s*(61*s - 3)/7
Find r, given that 224*r**3 + 3856*r**2 + 16030*r - 4900 = 0.
-35/4, 2/7
Determine c so that 4*c**5/3 - 68*c**4/3 + 108*c**3 - 460*c**2/3 + 200*c/3 = 0.
0, 1, 5, 10
Suppose s**5/5 - 2*s**3/5 + s/5 = 0. Calculate s.
-1, 0, 1
Factor -5*u**2 + 2330*u - 271445.
-5*(u - 233)**2
Determine j so that 2*j**5/9 + 34*j**4/9 + 20*j**3/3 - 4*j**2/9 - 62*j/9 - 10/3 = 0.
-15, -1, 1
Let -4*l**3 + 200*l**2 + 204*l = 0. What is l?
-1, 0, 51
Factor 4*h**4 - 48*h**3 + 84*h**2 + 328*h + 192.
4*(h - 8)*(h - 6)*(h + 1)**2
Factor -2*q**2/21 + 334*q/21.
-2*q*(q - 167)/21
Factor j**3/2 - 15*j**2/2 + 6*j + 14.
(j - 14)*(j - 2)*(j + 1)/2
Solve 10*g**5 - 45*g**4 + 10*g**3 + 45*g**2 - 20*g = 0 for g.
-1, 0, 1/2, 1, 4
Factor -3*j**4 + 9*j**3 + 36*j**2 - 156*j + 144.
-3*(j - 3)*(j - 2)**2*(j + 4)
Factor -3*u**4 - 3*u**3 + 3*u**2 + 3*u.
-3*u*(u - 1)*(u + 1)**2
Let s**4 + 72*s**3 + 1944*s**2 + 23328*s + 104976 = 0. Calculate s.
-18
Let -3*g**4 + 27*g**3 + 102*g**2 + 72*g = 0. Calculate g.
-2, -1, 0, 12
Suppose 2*p**3/3 + 32*p**2/3 + 46*p + 36 = 0. What is p?
-9, -6, -1
Factor 2*j**2/11 + 56*j/11 + 54/11.
2*(j + 1)*(j + 27)/11
Solve i**4/3 - 38*i**3/3 - 41*i**2 - 4*i/3 + 164/3 = 0 for i.
-2, 1, 41
Solve -8*n**4 + 516*n**3 - 744*n**2 - 764*n + 504 = 0.
-1, 1/2, 2, 63
Factor 2*j**3/7 + 60*j**2/7 + 78*j + 1352/7.
2*(j + 4)*(j + 13)**2/7
Determine u so that -4*u**5 + 19*u**4 + 5*u**3 = 0.
-1/4, 0, 5
Let 21*o**2/2 - 3699*o + 1056 = 0. Calculate o.
2/7, 352
Determine p so that -p**4 + 22*p**3 - 57*p**2 = 0.
0, 3, 19
Suppose -4*o**2 + 1520*o - 144400 = 0. What is o?
190
Factor 2*i**3 + 228*i**2 + 8664*i + 109744.
2*(i + 38)**3
Determine m so that -3*m**3 - 384*m**2 - 1500*m - 1488 = 0.
-124, -2
Find x, given that 180*x**4 - 172*x**3 - 188*x**2 + 172*x + 8 = 0.
-1, -2/45, 1
Determine o, given that -5*o**4 + 80*o**3 - 235*o**2 - 80*o + 240 = 0.
-1, 1, 4, 12
Factor -3*k**3 + 4454*k**2 - 7417*k + 2966.
-(k - 1483)*(k - 1)*(3*k - 2)
Solve 8*z**5 - 20*z**4 + 4*z**3 + 8*z**2 = 0.
-1/2, 0, 1, 2
What is l in 3*l**5/4 - 45*l**4/4 - 249*l**3/2 - 597*l**2/2 - 1089*l/4 - 345/4 = 0?
-5, -1, 23
Suppose -12*t**5 - 52*t**4 + 140*t**3 + 100*t**2 - 128*t - 48 = 0. What is t?
-6, -1, -1/3, 1, 2
Suppose 3*k**4 - 12*k**3 - 33*k**2 - 18*k = 0. What is k?
-1, 0, 6
Factor -5*c**3 - 1160*c**2 + 19520*c - 79360.
-5*(c - 8)**2*(c + 248)
Let -2*v**4 + 18*v**3 + 20*v**2 = 0. Calculate v.
-1, 0, 10
Factor r**5/2 + r**4 - 55*r**3/2 - 100*r**2.
r**2*(r - 8)*(r + 5)**2/2
What is u in 2*u**4/15 - 8*u**3/15 - 6*u**2/5 + 32*u/15 + 8/3 = 0?
-2, -1, 2, 5
Solve j**5 - 88*j**4 - j**3 + 88*j**2 = 0.
-1, 0, 1, 88
Determine d, given that -d**2/6 + 5*d - 52/3 = 0.
4, 26
Factor -p**4 - 6*p**3 - 5*p**2 + 24*p + 36.
-(p - 2)*(p + 2)*(p + 3)**2
Find s, given that -3*s**3/8 - 1395*s**2/4 - 643059*s/8 + 654267/2 = 0.
-467, 4
Solve -i**3/2 + 1975*i**2 - 3900625*i/2 = 0 for i.
0, 1975
Factor -3*u**4 - 15*u**3 + 93*u**2 - 129*u + 54.
-3*(u - 2)*(u - 1)**2*(u + 9)
Find j such that -j**2/6 + 1/6 = 0.
-1, 1
Factor 4*s**2 + 22868*s - 22872.
4*(s - 1)*(s + 5718)
Determine t so that -t**2 + 110*t - 3025 = 0.
55
Factor 2*a**3/9 + 94*a**2/9 + 1150*a/9 + 1058/9.
2*(a + 1)*(a + 23)**2/9
Suppose -2*c**2/9 + 326*c/9 + 332/3 = 0. Calculate c.
-3, 166
Factor 28*r**2/11 + 2410*r/11 + 172/11.
2*(r + 86)*(14*r + 1)/11
Find m such that -2*m**2 + 8*m - 6 = 0.
1, 3
Factor -3*v**3/8 + 321*v**2/8 - 1053*v - 2187/2.
-3*(v - 54)**2*(v + 1)/8
What is c in 2*c**2/7 - 8/7 = 0?
-2, 2
Let -6*u**2/11 + 4530*u/11 - 4524/11 = 0. Calculate u.
1, 754
Find h, given that h**4/2 + 5*h**3/2 - 21*h**2/2 - 125*h/2 - 50 = 0.
-5, -4, -1, 5
Suppose -3*x**3/4 + 15*x**2/4 = 0. What is x?
0, 5
Factor -4*u**3 + 20*u**2 - 24*u.
-4*u*(u - 3)*(u - 2)
Factor -3*z**5/5 + 111*z**4 - 27501*z**3/5 + 166341*z**2/5.
-3*z**2*(z - 89)**2*(z - 7)/5
Factor -2*j**5 + 310*j**4 - 17802*j**3 + 447458*j**2 - 4134364*j.
-2*j*(j - 43)**3*(j - 26)
Let -b**2/6 + 565*b/6 - 563/3 = 0. Calculate b.
2, 563
Factor -4*m**3 + 14*m**2 + 28*m + 10.
-2*(m - 5)*(m + 1)*(2*m + 1)
Factor -3*d**4 - 24*d**3 + 9*d**2 + 78*d + 48.
-3*(d - 2)*(d + 1)**2*(d + 8)
Let -q**2 - 10*q - 24 = 0. Calculate q.
-6, -4
Factor -2*c**3 - 96*c**2 + 2214*c - 10692.
-2*(c - 9)**2*(c + 66)
Factor -2*m**3/3 - 26*m**2/3 + 130*m/3 - 34.
-2*(m - 3)*(m - 1)*(m + 17)/3
Factor -5*u**2/6 - 40*u/3 - 25/2.
-5*(u + 1)*(u + 15)/6
Suppose -26*j**3/5 + 21532*j**2/5 - 4459608*j/5 + 685584/5 = 0. What is j?
2/13, 414
Determine k, given that 3*k**2 - 102*k + 192 = 0.
2, 32
What is j in 4*j**2 + 60*j - 136 = 0?
-17, 2
Factor -2*b**3/19 - 3372*b**2/19 + 6750*b/19 - 3376/19.
-2*(b - 1)**2*(b + 1688)/19
Factor 5*i**3 + 435*i**2 - 5*i - 435.
5*(i - 1)*(i + 1)*(i + 87)
Find h such that -3*h**2 + 102*h - 840 = 0.
14, 20
Find b such that 204*b**3 + 405*b**2 + 198*b - 3 = 0.
-1, 1/68
Factor 27*f**3 + 1125*f**2 - 1536*f + 516.
3*(f + 43)*(3*f - 2)**2
Solve q**3 + 309*q**2 = 0 for q.
-309, 0
Factor 4*d**2 + 556*d - 2288.
4*(d - 4)*(d + 143)
Factor 5*i**3 + 280*i**2 + 4420*i + 13520.
5*(i + 4)*(i + 26)**2
Let 2*n**3 - 97*n**2 + 47*n + 48 = 0. Calculate n.
-1/2, 1, 48
Solve 5*m**2 - 810*m - 815 = 0 for m.
-1, 163
Let -3*l**4/2 - 41*l**3/2 + 61*l**2/2 + 13*l/2 - 15 = 0. What is l?
-15, -2/3, 1
Suppose n**5/2 + n**4 - 6*n**3 + 7*n**2 - 5*n/2 = 0. Calculate n.
-5, 0, 1
Find j, given that -2*j**3/7 - 16*j**2 - 224*j = 0.
-28, 0
Let m**4/4 - 13*m**3/2 + 165*m**2/4 + 26*m - 169 = 0. What is m?
-2, 2, 13
Factor 3*x**4 + 135*x**3 - 432*x**2.
3*x**2*(x - 3)*(x + 48)
Solve 3*z**5 + 27*z**4 - 102*z**3 + 72*z**2 = 0 for z.
-12, 0, 1, 2
Factor 3*p**3/5 - 3*p**2 - 3*p/5 + 3.
3*(p - 5)*(p - 1)*(p + 1)/5
Find b such that -4*b**5 - 44*b**4 + 660*b**3 - 1172*b**2 + 560*b = 0.
-20, 0, 1, 7
Find b such that -3*b**3 + 321*b**2 - 630*b = 0.
0, 2, 105
Factor 5*l**3 + 85*l**2 + 235*l - 325.
5*(l - 1)*(l + 5)*(l + 13)
Factor 2*n**4/9 + 20*n**3/3.
2*n**3*(n + 30)/9
Determine a so that -a**3/7 + 67*a**2/7 - 1495*a/7 + 1587 = 0.
21, 23
Factor -m**2 + 26*m - 25.
-(m - 25)*(m - 1)
Suppose -w**3 - 98*w**2 - 2496*w - 4608 = 0. Calculate w.
-48, -2
Factor q**4 - 4*q**3 - 13*q**2 + 40*q + 48.
(q - 4)**2*(q + 1)*(q + 3)
Solve -2*t**4/7 - 2*t**3/7 + 30*t**2/7 - 46*t/7 + 20/7 = 0 for t.
-5, 1, 2
Factor -3*o**2 + 18*o.
-3*o*(o - 6)
Suppose -5*f**3/3 - 5*f**2 - 5*f - 5/3 = 0. Calculate f.
-1
Suppose 2*p**2/3 - 16*p/3 - 6 = 0. What is p?
-1, 9
Factor -y**4/5 + 3*y**3/5.
-y**3*(y - 3)/5
Solve -5*z*