-1, -2/9, 0, 3
Factor 5*x**4 - 70*x**3 - 80*x**2 + 70*x + 75.
5*(x - 15)*(x - 1)*(x + 1)**2
What is m in -146*m**3/19 + 296*m**2/19 - 154*m/19 + 4/19 = 0?
2/73, 1
Solve -2*j**5 + 32*j**4 + 206*j**3 + 100*j**2 - 336*j = 0 for j.
-4, -2, 0, 1, 21
Factor 20*b**3 - 175*b**2 - 1085*b - 260.
5*(b - 13)*(b + 4)*(4*b + 1)
Determine p so that -16*p**3 - 84*p**2 - 116*p - 24 = 0.
-3, -2, -1/4
Factor g**5 + 8*g**4 + 6*g**3 - 8*g**2 - 7*g.
g*(g - 1)*(g + 1)**2*(g + 7)
Suppose -3*h**3/4 + 45*h**2/2 - 69*h - 234 = 0. Calculate h.
-2, 6, 26
Factor -4*q**3 + 5068*q**2 - 1607820*q + 1602756.
-4*(q - 633)**2*(q - 1)
Solve 3*b**3/4 - 27*b**2/4 + 6*b = 0 for b.
0, 1, 8
Factor -2*f**4/11 - 32632*f**3/11 - 199658892*f**2/11 - 542939080312*f/11 - 553662127148162/11.
-2*(f + 4079)**4/11
Let -3*k**4/5 - 90*k**3 - 17271*k**2/5 - 26196*k/5 + 49284 = 0. Calculate k.
-74, -5, 3
Factor -36*b**4 - 480*b**3 - 2368*b**2 - 5120*b - 4096.
-4*(b + 4)**2*(3*b + 8)**2
Factor -c**5/4 + 7*c**4/4 + 11*c**3/4 - 19*c**2/4 - 19*c/2 - 4.
-(c - 8)*(c - 2)*(c + 1)**3/4
Factor -5*g**3 + 160*g**2 - 145*g - 310.
-5*(g - 31)*(g - 2)*(g + 1)
Factor 5*m**3 + 105*m**2 + 720*m + 1600.
5*(m + 5)*(m + 8)**2
Solve k**4/3 - 121*k**3/3 - 123*k**2 - 371*k/3 - 124/3 = 0 for k.
-1, 124
Factor -3*b**3/5 + 462*b**2/5 - 183*b + 456/5.
-3*(b - 152)*(b - 1)**2/5
Factor -p**4/7 - 10*p**3/7 - 32*p**2/7 - 32*p/7.
-p*(p + 2)*(p + 4)**2/7
Solve v**5/5 + 10*v**4 - 7*v**3/5 - 356*v**2/5 - 60*v = 0 for v.
-50, -2, -1, 0, 3
Factor 2*j**5/7 + 68*j**4/7 - 1942*j**3/7 - 6120*j**2 + 113400*j.
2*j*(j - 18)**2*(j + 35)**2/7
Find i, given that 4*i**4 + 40*i**3 - 52*i**2 - 88*i = 0.
-11, -1, 0, 2
Factor -10*g**2/9 + 4*g/9 + 2/3.
-2*(g - 1)*(5*g + 3)/9
Find z such that 6*z**3 + 606*z**2 + 30603*z/2 = 0.
-101/2, 0
Find k, given that -2*k**4 - 158*k**3 = 0.
-79, 0
Suppose -3*d**2/5 - 4746*d/5 - 1877043/5 = 0. What is d?
-791
Let 2*s**3/11 + 466*s**2/11 - 8*s/11 - 1864/11 = 0. Calculate s.
-233, -2, 2
Find w, given that -5*w**2 + 85*w - 360 = 0.
8, 9
Let 105*w**4 + 815*w**3/6 + 5*w**2/2 - 35*w - 20/3 = 0. What is w?
-1, -4/7, -2/9, 1/2
Find n such that 14*n**4/11 - 22*n**3 + 502*n**2/11 - 334*n/11 + 60/11 = 0.
2/7, 1, 15
Factor -3*m**4 + 108*m**3 - 1296*m**2 + 5184*m.
-3*m*(m - 12)**3
Suppose -a**4 - 3*a**3 + a**2 + 3*a = 0. Calculate a.
-3, -1, 0, 1
Factor n**3/5 - 49*n**2/5 - 101*n/5 - 51/5.
(n - 51)*(n + 1)**2/5
Factor -3*z**3/5 - 24*z**2/5 + 21*z + 882/5.
-3*(z - 6)*(z + 7)**2/5
Suppose -3*x**2 - 24*x + 6579 = 0. What is x?
-51, 43
Factor -3*g**3 - 60*g**2 + 201*g - 138.
-3*(g - 2)*(g - 1)*(g + 23)
Factor 2*m**5/5 + 32*m**4/5 - 108*m**3/5 + 112*m**2/5 - 38*m/5.
2*m*(m - 1)**3*(m + 19)/5
Factor -4*a**2/5 - 88*a - 2420.
-4*(a + 55)**2/5
Find h, given that 15*h**3 + 20*h**2 - 175*h - 60 = 0.
-4, -1/3, 3
Suppose 4*u**2 + 912*u - 9520 = 0. What is u?
-238, 10
What is w in w**3/7 - 16*w**2/7 - 5*w - 18/7 = 0?
-1, 18
Solve -18*y**5 - 276*y**4/5 - 16*y**3/5 + 352*y**2/5 - 32*y/5 - 64/5 = 0 for y.
-2, -2/5, 2/3
Solve 2*j**5/3 + 26*j**4 - 30*j**3 - 406*j**2/3 - 80*j = 0.
-40, -1, 0, 3
Let -60*o**5 + 279*o**4 - 342*o**3 + 141*o**2 - 18*o = 0. What is o?
0, 1/4, 2/5, 1, 3
Factor 2*w**2 - 48*w - 104.
2*(w - 26)*(w + 2)
Suppose 78*o**3/5 + 1912*o**2/5 + 952*o/5 - 192/5 = 0. What is o?
-24, -2/3, 2/13
Factor -3*y**4/4 + 819*y**3/4 - 1629*y**2/4 + 813*y/4.
-3*y*(y - 271)*(y - 1)**2/4
Solve 32*i**4 + 14936*i**3 + 11190*i**2 + 5593*i/2 + 233 = 0.
-466, -1/4
Find g, given that -2*g**2/7 + 2*g/7 + 60 = 0.
-14, 15
Factor -2*w**2 - 4202*w - 4200.
-2*(w + 1)*(w + 2100)
Let -2*m**2/7 + 4*m/7 + 48/7 = 0. What is m?
-4, 6
Solve 2*v**3/9 + 130*v**2/9 = 0 for v.
-65, 0
Factor 3*r**4 - 1518*r**3 + 1512*r**2 + 1518*r - 1515.
3*(r - 505)*(r - 1)**2*(r + 1)
Factor -3*u**3/2 - 198*u**2 - 6912*u - 24576.
-3*(u + 4)*(u + 64)**2/2
Solve -6*w**4/5 - 4*w**3/5 + 24*w**2/5 + 16*w/5 = 0.
-2, -2/3, 0, 2
Suppose -2*v**4 - 2*v**3 + 32*v**2 - 40*v = 0. Calculate v.
-5, 0, 2
Suppose 2*p**5 - 10*p**4 - 116*p**3 - 176*p**2 = 0. Calculate p.
-4, -2, 0, 11
What is w in -4*w**4/13 - 3222*w**3/13 - 1606*w**2/13 + 3222*w/13 + 1610/13 = 0?
-805, -1, -1/2, 1
Find r such that 8*r**2 + 36*r - 20 = 0.
-5, 1/2
Find b such that -2*b**2 + 6*b + 108 = 0.
-6, 9
Determine x so that -2*x**5/3 + 14*x**3/3 + 4*x**2/3 - 8*x - 16/3 = 0.
-2, -1, 2
Let -3*p**2 + 3*p + 330 = 0. What is p?
-10, 11
Solve 4*v**5/3 + 56*v**4/3 - 160*v**3 + 128*v**2/3 + 2560*v/3 = 0.
-20, -2, 0, 4
Let -4*x**2/3 + 196*x/3 - 344 = 0. What is x?
6, 43
Factor 169*b**4/2 + 299*b**3 - 407*b**2/2 - 828*b + 648.
(b - 1)**2*(13*b + 36)**2/2
Factor -93*b**2 - 3*b.
-3*b*(31*b + 1)
Factor -j**3 + 2*j**2.
-j**2*(j - 2)
Determine f so that -22*f**3 + 634*f**2 - 2084*f - 400 = 0.
-2/11, 4, 25
Factor -3*g**2 + 438*g - 15987.
-3*(g - 73)**2
Factor n**3/5.
n**3/5
Factor q**2 + 41*q + 114.
(q + 3)*(q + 38)
Factor -5*k**2 - 160*k - 155.
-5*(k + 1)*(k + 31)
Let g**3/6 - 3*g**2/2 + 4*g/3 = 0. What is g?
0, 1, 8
Solve -25*d**4 + 103*d**3 + 113*d**2 - 15*d = 0.
-1, 0, 3/25, 5
Solve 5*q**2/4 + 4935*q/2 + 4870845/4 = 0.
-987
Factor 25*m**5 - 65*m**4 + 55*m**3 - 15*m**2.
5*m**2*(m - 1)**2*(5*m - 3)
Find v, given that v**2/4 - 21*v/4 + 5 = 0.
1, 20
Solve -2*y**4/3 + 28*y**3/3 - 22*y**2 - 224*y/3 - 128/3 = 0.
-1, 8
Factor 2*x**3 - 58*x**2 + 56*x.
2*x*(x - 28)*(x - 1)
Let -h**2 + 87*h + 88 = 0. Calculate h.
-1, 88
Factor f**5/2 + 34*f**4 - 141*f**3 + 214*f**2 - 287*f/2 + 36.
(f - 1)**4*(f + 72)/2
Let 2*w**2/5 + 64*w/5 + 62/5 = 0. Calculate w.
-31, -1
Factor -3*k**3 - 669*k**2 + 2712*k - 2724.
-3*(k - 2)**2*(k + 227)
Factor m**5/2 - m**4 - 39*m**3/2 - 34*m**2 - 16*m.
m*(m - 8)*(m + 1)**2*(m + 4)/2
Factor 2*g**2/5 + 546*g/5 + 544/5.
2*(g + 1)*(g + 272)/5
Factor -7*i**4 + 194*i**3 + 924*i**2 + 1144*i + 256.
-(i - 32)*(i + 2)**2*(7*i + 2)
Factor -2*u**4 - 96*u**3 - 1728*u**2 - 13824*u - 41472.
-2*(u + 12)**4
Factor -4*x**3 - 4*x**2 + 8*x.
-4*x*(x - 1)*(x + 2)
Factor 2*f**3/7 + 4*f**2/7 - 2*f/7 - 4/7.
2*(f - 1)*(f + 1)*(f + 2)/7
Factor -9*k**2/2 + 8187*k/2 - 2727.
-3*(k - 909)*(3*k - 2)/2
Let w**5/5 - 2*w**4 + 37*w**3/5 - 64*w**2/5 + 52*w/5 - 16/5 = 0. What is w?
1, 2, 4
Factor -s**4/6 + 19*s**3/3 + 13*s**2/2.
-s**2*(s - 39)*(s + 1)/6
Find i such that 5*i**2 + 1535*i - 9390 = 0.
-313, 6
Factor q**3/3 + q**2 - 6*q - 40/3.
(q - 4)*(q + 2)*(q + 5)/3
Factor 4*t**2/13 + 58*t/13 + 28/13.
2*(t + 14)*(2*t + 1)/13
Solve -12*p**3 + 1092*p**2 + 1101*p + 276 = 0.
-1/2, 92
Solve -3*c**4/8 - 27*c**3 - 729*c**2 - 8748*c - 39366 = 0 for c.
-18
Factor 5*g**2 - 35*g + 50.
5*(g - 5)*(g - 2)
Factor -2*j**2 + 30*j - 112.
-2*(j - 8)*(j - 7)
Find l, given that -4*l**4 - 116*l**3 + 664*l**2 - 544*l = 0.
-34, 0, 1, 4
Factor -g**3 + 19*g**2 - 115*g + 225.
-(g - 9)*(g - 5)**2
Find v such that -33*v**3 + 27*v**2 + 6*v = 0.
-2/11, 0, 1
Factor -2*u**2 - 424*u - 840.
-2*(u + 2)*(u + 210)
Suppose 3*m**3/4 + 63*m**2/2 - 543*m/4 + 207/2 = 0. What is m?
-46, 1, 3
Let 2*g**5 + 2*g**4 - 10*g**3 - 2*g**2 + 16*g - 8 = 0. Calculate g.
-2, 1
Factor 2*v**5 - 6*v**4 - 20*v**3 + 48*v**2.
2*v**2*(v - 4)*(v - 2)*(v + 3)
Determine y, given that -3*y**2 + 3 = 0.
-1, 1
Determine q so that 5*q**4/2 + 45*q**3/2 + 135*q**2/2 + 155*q/2 + 30 = 0.
-4, -3, -1
Factor -3*v**2/8 - 153*v/8 + 39/2.
-3*(v - 1)*(v + 52)/8
What is l in -15*l**4 + 51*l**3 - 3*l**2 - 51*l + 18 = 0?
-1, 2/5, 1, 3
Factor p**4/2 - 26*p**3 + 675*p**2/2 + 26*p - 338.
(p - 26)**2*(p - 1)*(p + 1)/2
Solve -2*o**5/3 + 10*o**4/3 + 10*o**3 - 10*o**2/3 - 28*o/3 = 0 for o.
-2, -1, 0, 1, 7
Factor -4*l**5 - 24*l**4 + 64*l**3 - 8*l**2 - 60*l + 32.
-4*(l - 1)**3*(l + 1)*(l + 8)
Factor s**2/2 + 7*s/2 - 114.
(s - 12)*(s + 19)/2
Factor -3*r**3 + 9*r**2 - 6*r.
-3*r*(r - 2)*(r - 1)
Solve 3*d**3/7 - 258*d**2/7 - 75*d - 264/7 = 0 for d.
-1, 88
Factor -j**2 - 81*j + 252.
-(j - 3)*(j + 84)
Factor -76*o**3 + 448*o**2 - 332*o - 40.
-4*(o - 5)*(o - 1)*(19*o + 2)
Factor -4*f**5 - 344*f**4 + 3300*f**3 - 11224*f**2 + 16624*f - 9120.
-4*(f - 3)*(f - 2)**3*(f + 95)
Suppose 9*u**4 + 705*u**3 + 226*u**2 - 628*u - 312 = 0. What is u?
-78, -2/3, 1
Find v such that 2*v**3 - 114*v + 112 = 0.
-8, 1, 7
What is t in -5*t**5 - 75*t**4 + 5*t**3 + 75*t**2 = 0?
-15, -1, 0, 1
Factor -3*f**2/5 + 4296*f/5 - 1537968/5.
-3*(f - 716)**2/5
What is h in h**5 - 8*h**4 + 23*h**3 - 28*h