8*p**3 + 8*p**2 = 0.
-4, -4/5, -2/9, 0
Solve 2*z**2/11 - 28*z/11 + 80/11 = 0.
4, 10
Determine q so that -50*q**3 + 146*q**2 - 88*q - 8 = 0.
-2/25, 1, 2
Solve 5*m**2/2 + 80*m + 1275/2 = 0.
-17, -15
Find x, given that 2*x**5/9 - 46*x**4/9 + 148*x**3/9 + 100*x**2/9 - 146*x/3 - 38 = 0.
-1, 3, 19
Factor o**2/2 - 45*o/2.
o*(o - 45)/2
Let 4*q**2 - 3600*q + 3596 = 0. Calculate q.
1, 899
Factor -3*y**2/4 + 57*y/4 - 135/2.
-3*(y - 10)*(y - 9)/4
Let -2*v**4 - 44*v**3 - 88*v**2 + 524*v + 570 = 0. What is v?
-19, -5, -1, 3
Factor 5*h**4 + 185*h**3 - 5*h**2 - 185*h.
5*h*(h - 1)*(h + 1)*(h + 37)
Find i such that 2*i**5/5 - 118*i**4/5 - 2*i**3/5 + 118*i**2/5 = 0.
-1, 0, 1, 59
Factor y**3 - 5*y**2 + 4*y.
y*(y - 4)*(y - 1)
Factor -5*t**2/2 - 5*t/2 + 330.
-5*(t - 11)*(t + 12)/2
Solve -3*z**2 + 1752*z + 1755 = 0.
-1, 585
Factor 2*b**3/11 + 194*b**2/11 - 2*b/11 - 194/11.
2*(b - 1)*(b + 1)*(b + 97)/11
Suppose p**4/2 + p**3/2 - 3*p**2/2 - p/2 + 1 = 0. Calculate p.
-2, -1, 1
Find o such that 48*o**4/7 - 456*o**3/7 - 1341*o**2/7 - 1161*o/7 - 324/7 = 0.
-1, -3/4, 12
Find n such that n**5/5 + 4*n**4/5 - 3*n**3/5 - 22*n**2/5 - 4*n/5 + 24/5 = 0.
-3, -2, 1, 2
Factor -3*z**3 + 30*z**2 + 207*z + 270.
-3*(z - 15)*(z + 2)*(z + 3)
Let -5*j**4 + 680*j**3 + 18240*j**2 + 151040*j + 409600 = 0. What is j?
-8, 160
Solve k**3/4 - 3*k/4 - 1/2 = 0.
-1, 2
Find r, given that -2*r**2/13 - 24*r/13 + 90/13 = 0.
-15, 3
Factor -y**4 - y**3 + 41*y**2 - 111*y + 72.
-(y - 3)**2*(y - 1)*(y + 8)
Factor 16*d**3 - 1328*d**2 + 1316*d - 328.
4*(d - 82)*(2*d - 1)**2
Factor 3*r**4 + 360*r**3 + 357*r**2.
3*r**2*(r + 1)*(r + 119)
Factor 5*i**2 - 285*i + 3850.
5*(i - 35)*(i - 22)
Factor 35*n**3 - 22110*n**2 - 28475*n - 6330.
5*(n - 633)*(n + 1)*(7*n + 2)
Solve k**2/2 + 11*k/2 + 9 = 0 for k.
-9, -2
Let 3*x**2 + 5304*x - 5307 = 0. What is x?
-1769, 1
Find z such that 2*z**3 + 4*z**2 - 58*z + 84 = 0.
-7, 2, 3
Factor -c**3 - 10250*c**2/3 + 1139*c.
-c*(c + 3417)*(3*c - 1)/3
Let -8*a**5/7 + 50*a**4/7 - 12*a**3 - 2*a**2 + 104*a/7 - 24/7 = 0. What is a?
-1, 1/4, 2, 3
Factor 3*s**2 + 390*s + 12675.
3*(s + 65)**2
Let -l**2/8 - 463*l/8 = 0. What is l?
-463, 0
Find m, given that 6*m**5/5 - 146*m**4/5 + 42*m**3/5 + 146*m**2/5 - 48*m/5 = 0.
-1, 0, 1/3, 1, 24
Factor -4*x**4 + 192*x**3 + 200*x**2 - 192*x - 196.
-4*(x - 49)*(x - 1)*(x + 1)**2
Factor -5*p**2 + 16135*p - 16130.
-5*(p - 3226)*(p - 1)
Factor 2*s**3/3 + 40*s**2/3 + 74*s/3 + 12.
2*(s + 1)**2*(s + 18)/3
Solve 28*b**4 + 88*b**3 + 12*b**2 - 112*b - 16 = 0.
-2, -1/7, 1
Factor 9*s**4 + 201*s**3 + 1323*s**2 + 3483*s + 3240.
3*(s + 3)**3*(3*s + 40)
Factor -2*s**2/3 + 194*s/3 - 380/3.
-2*(s - 95)*(s - 2)/3
Solve -4*l**3 + 304*l + 960 = 0 for l.
-6, -4, 10
Suppose 3*b**2/2 - 75*b/2 + 99 = 0. What is b?
3, 22
Solve -k**2 + 213*k + 214 = 0.
-1, 214
Solve -10*w**5 + 265*w**4 + 3150*w**3 + 9560*w**2 + 5920*w - 5760 = 0.
-4, -2, 1/2, 36
Find z such that 3*z**5/8 - 3*z**3/4 + 3*z/8 = 0.
-1, 0, 1
Factor -l**2 + 946*l/3 + 632/3.
-(l - 316)*(3*l + 2)/3
Factor -58*o**3/3 + 40*o**2 - 22*o + 4/3.
-2*(o - 1)**2*(29*o - 2)/3
Solve -3*z**3 - 63*z**2 - 42*z + 360 = 0 for z.
-20, -3, 2
Suppose -5*i**3 + 165*i**2 - 430*i - 600 = 0. Calculate i.
-1, 4, 30
Factor -v**2/7 - 81*v.
-v*(v + 567)/7
Factor -2*j**5/9 - 4*j**4/9 + 2*j**3/3.
-2*j**3*(j - 1)*(j + 3)/9
Factor 5*r**5 + 1330*r**4 + 118800*r**3 + 3639680*r**2 + 6814720*r.
5*r*(r + 2)*(r + 88)**3
Suppose -x**2 + 90*x - 89 = 0. Calculate x.
1, 89
Factor -2*l**3 - 598*l**2 - 1190*l - 594.
-2*(l + 1)**2*(l + 297)
Factor 4*n**2 - 1511*n + 1131.
(n - 377)*(4*n - 3)
Factor p**4/5 + 36*p**3/5 + 324*p**2/5.
p**2*(p + 18)**2/5
Find g, given that -2*g**3/3 + 32*g**2/3 + 248*g/3 + 352/3 = 0.
-4, -2, 22
Let i**5/2 + 2*i**4 - 77*i**3/2 = 0. What is i?
-11, 0, 7
Solve -3*v**5 + 8064*v**4 - 7225341*v**3 + 2157961344*v**2 + 7225344*v - 2157969408 = 0 for v.
-1, 1, 896
Determine d, given that 2*d**5 + 22*d**4 + 86*d**3 + 154*d**2 + 128*d + 40 = 0.
-5, -2, -1
Find u such that -3*u**5/2 + 12*u**4 + 279*u**3 - 894*u**2 + 1821*u/2 - 306 = 0.
-12, 1, 17
Find c such that 2*c**3 + 320*c**2 - 646*c + 324 = 0.
-162, 1
Factor 3*m**2 - 78*m + 75.
3*(m - 25)*(m - 1)
Determine z, given that -z**4/3 + 30*z**3 - 1933*z**2/3 - 1380*z - 2116/3 = 0.
-1, 46
Factor 2*l**4/9 + 22*l**3/9 - 2*l**2/9 - 22*l/9.
2*l*(l - 1)*(l + 1)*(l + 11)/9
Factor -h**2 - 34*h - 225.
-(h + 9)*(h + 25)
Factor 6*x**4 + 212*x**3 - 144*x**2.
2*x**2*(x + 36)*(3*x - 2)
Factor c**2/3 + 127*c/3 - 128/3.
(c - 1)*(c + 128)/3
Factor -z**4/4 - 13*z**3/2 - 53*z**2 - 275*z/2 - 363/4.
-(z + 1)*(z + 3)*(z + 11)**2/4
Suppose -30*p**5 - 33*p**4 + 18*p**3 + 15*p**2 - 6*p = 0. What is p?
-1, 0, 2/5, 1/2
Determine k, given that -1340595*k**4 + 172980*k**3 - 7440*k**2 + 320*k/3 = 0.
0, 4/93
Factor a**4/5 + 34*a**3/5 - a**2/5 - 34*a/5.
a*(a - 1)*(a + 1)*(a + 34)/5
Determine v, given that -5*v**5 + 95*v**4 - 350*v**3 - 550*v**2 + 355*v + 455 = 0.
-1, 1, 7, 13
Factor 2*f**2 - 20*f - 112.
2*(f - 14)*(f + 4)
Determine m so that -3*m**4 + 24*m**3 - 63*m**2 + 66*m - 24 = 0.
1, 2, 4
Let 2*m**2/5 - 24*m/5 + 54/5 = 0. Calculate m.
3, 9
Factor 4*i**2 - 15360*i + 14745600.
4*(i - 1920)**2
Factor -b**2/4 - 30*b - 900.
-(b + 60)**2/4
Find d such that -3*d**4 - 618*d**3 + 1251*d**2 + 618*d - 1248 = 0.
-208, -1, 1, 2
Factor -4*l**2 - 704*l - 700.
-4*(l + 1)*(l + 175)
Factor 4*f**3/7 - 12*f**2 - 40*f - 192/7.
4*(f - 24)*(f + 1)*(f + 2)/7
What is p in 4*p**2 - 444*p - 1840 = 0?
-4, 115
Factor 99*w**3/5 - w**2/5 - 396*w/5 + 4/5.
(w - 2)*(w + 2)*(99*w - 1)/5
Let -4*l**3 - 40*l**2 - 128*l - 128 = 0. What is l?
-4, -2
Let 2*p**5/15 - 16*p**4/15 - 14*p**3/15 + 364*p**2/15 - 312*p/5 + 48 = 0. Calculate p.
-5, 2, 3, 6
Factor -5*w**3 - 175*w**2.
-5*w**2*(w + 35)
Solve 4*f**5 - 168*f**4 - 184*f**3 + 512*f**2 + 180*f - 344 = 0.
-2, -1, 1, 43
Suppose -t**5 - t**4/3 + 20*t**3/3 - 32*t/3 + 16/3 = 0. Calculate t.
-2, 2/3, 1, 2
Suppose -2*r**3/9 + 20*r**2/9 - 32*r/9 = 0. What is r?
0, 2, 8
Factor -5*i**3 - 165*i**2 - 855*i + 9025.
-5*(i - 5)*(i + 19)**2
Factor -2*a**4/7 - 12*a**3/7 - 22*a**2/7 - 12*a/7.
-2*a*(a + 1)*(a + 2)*(a + 3)/7
Find j, given that 16*j**5 - 44*j**4 - 12*j**3 + 64*j**2 + 16*j = 0.
-1, -1/4, 0, 2
Factor 10*c**3/3 + 8*c**2 + 2*c/3 - 4.
2*(c + 1)*(c + 2)*(5*c - 3)/3
Solve -4*x**2/3 + 232*x/3 + 160 = 0.
-2, 60
Factor 3*i**2/2 - 132*i + 2904.
3*(i - 44)**2/2
Factor s**4/9 - 20*s**3/9 + 142*s**2/9 - 140*s/3 + 49.
(s - 7)**2*(s - 3)**2/9
What is c in 5*c**3 + 115*c**2 + 680*c + 1200 = 0?
-15, -4
Factor -5*m**4 + 210*m**3 - 735*m**2 - 950*m.
-5*m*(m - 38)*(m - 5)*(m + 1)
Factor -3*t**3 + 351*t**2 - 10089*t - 10443.
-3*(t - 59)**2*(t + 1)
Find f, given that 2*f**4/3 + 112*f**3 + 4920*f**2 + 53792*f/3 = 0.
-82, -4, 0
Factor -356*p**2 - 364*p - 8.
-4*(p + 1)*(89*p + 2)
Factor -2*w**3 - 16*w**2 - 32*w.
-2*w*(w + 4)**2
Factor -3*w**2 + 285*w.
-3*w*(w - 95)
Suppose -240*m**5 - 920*m**4 + 345*m**3 + 655*m**2 - 330*m + 40 = 0. Calculate m.
-4, -1, 1/4, 2/3
Solve -s**2 + 12*s = 0 for s.
0, 12
Determine z so that -121*z**5/10 - 77*z**4 - 147*z**3/10 + 373*z**2/5 + 134*z/5 + 12/5 = 0.
-6, -1, -2/11, 1
Factor -2*a**3/3 + 6*a**2 + 24*a.
-2*a*(a - 12)*(a + 3)/3
Find b such that -2*b**4/5 - 96*b**3/5 - 94*b**2/5 = 0.
-47, -1, 0
Suppose -5*g**4 - 110*g**3 + 955*g**2 - 1740*g = 0. Calculate g.
-29, 0, 3, 4
Factor -l**3/2 - 57*l**2/2 - 55*l.
-l*(l + 2)*(l + 55)/2
Factor 5*p**4/3 - 46*p**3/3 + 3*p**2.
p**2*(p - 9)*(5*p - 1)/3
Solve -105*d**2 - 2300*d + 220 = 0 for d.
-22, 2/21
Factor a**3 - 28*a**2 - 59*a - 30.
(a - 30)*(a + 1)**2
Factor -45*i**3 - 2665*i**2 - 12740*i - 2700.
-5*(i + 5)*(i + 54)*(9*i + 2)
Solve -g**2 - 252*g - 15876 = 0.
-126
Let -g**5 + 31*g**4/3 - 97*g**3/3 + 53*g**2/3 + 136*g/3 - 16 = 0. Calculate g.
-1, 1/3, 3, 4
Determine x, given that -9*x**5/5 - 237*x**4/5 + 674*x**3/5 - 126*x**2 + 231*x/5 - 29/5 = 0.
-29, 1/3, 1
Factor -2*x**2/7 + 114*x.
-2*x*(x - 399)/7
Suppose 2*j**2/11 - 29092*j/11 + 105793058/11 = 0. What is j?
7273
Factor 4*o**2/3 - 3340*o/3.
4*o*(o - 835)/3
Determine p so that 3*p**2 + 99*p + 96 = 0.
-32, -1
Factor -2*h**5/5 - 14*h**4/5 + 106*h**3/5 + 342*h**2/5 - 2592*h/5 + 3456/5.
-2*(h - 3)**3*(h + 8)**2/5
Determine y, given that 3*y**3 - 45*y**2 - 174*y + 216 = 0.
-4, 1, 18
Let -j**3/4 - 315*j**2/2 + 1263*j/4 - 158 