3, 0, 2
Factor j**4/2 + 9*j**3 - 19*j**2/2.
j**2*(j - 1)*(j + 19)/2
Determine j, given that 4*j**2/11 - 30*j - 504/11 = 0.
-3/2, 84
Factor 5*w**2 - 15*w + 10.
5*(w - 2)*(w - 1)
Factor -4*t**4 + 392*t**2 - 9604.
-4*(t - 7)**2*(t + 7)**2
Factor 3*d**3 - 15*d**2 + 12*d.
3*d*(d - 4)*(d - 1)
Factor -4*n**3 - 604*n**2 + 1220*n - 612.
-4*(n - 1)**2*(n + 153)
Factor -25*g**5 + 1210*g**4 - 480*g**3.
-5*g**3*(g - 48)*(5*g - 2)
Suppose -v**5 + 4*v**4 + 5*v**3 - 36*v**2 + 36*v = 0. Calculate v.
-3, 0, 2, 3
Find c, given that 2*c**2 - 22*c - 24 = 0.
-1, 12
Factor -u**3/11 + 2*u**2 + 23*u/11.
-u*(u - 23)*(u + 1)/11
Factor -3*w**2/5 - 24*w/5 + 99/5.
-3*(w - 3)*(w + 11)/5
Determine l, given that -2*l**2 + 38*l = 0.
0, 19
Let -3*d**3/4 + 297*d**2/2 - 9801*d + 215622 = 0. Calculate d.
66
Factor h**4/3 - 4*h**3 + 29*h**2/3 - 6*h.
h*(h - 9)*(h - 2)*(h - 1)/3
Factor i**3/4 - 9*i**2/2 - 10*i.
i*(i - 20)*(i + 2)/4
Factor -4*y**2 + 296*y - 1876.
-4*(y - 67)*(y - 7)
Find v such that 18*v**5 - 32*v**4 - 62*v**3 + 60*v**2 + 88*v + 16 = 0.
-1, -2/9, 2
Let 9*y**5 + 132*y**4 + 198*y**3 + 36*y**2 - 39*y = 0. What is y?
-13, -1, 0, 1/3
Factor 3*w**2 - 24*w + 45.
3*(w - 5)*(w - 3)
Suppose 3*k**2/8 + 3*k/8 - 15/2 = 0. Calculate k.
-5, 4
Find q, given that -q**3/7 + 20*q**2/7 - 100*q/7 = 0.
0, 10
Find k such that 100*k**4 - 140*k**3 - 411*k**2 - 198*k - 27 = 0.
-1, -3/10, 3
Factor -v**3 - 430*v**2 + 863*v - 432.
-(v - 1)**2*(v + 432)
Find h such that 3*h**3/4 + 4311*h**2/2 + 2064969*h + 659413434 = 0.
-958
Factor -2*u**3/3 + 80*u**2/3 + 344*u/3 + 352/3.
-2*(u - 44)*(u + 2)**2/3
Suppose -4*m**4 + 32*m**3 - 56*m**2 - 32*m + 60 = 0. What is m?
-1, 1, 3, 5
Factor -5*q**4 + 285*q**3 - 270*q**2 - 560*q.
-5*q*(q - 56)*(q - 2)*(q + 1)
What is d in 23*d**2 + 44*d + 21 = 0?
-1, -21/23
Let -25*y**3/2 + 5235*y**2/2 - 2091*y/2 + 209/2 = 0. What is y?
1/5, 209
Factor d**2/8 - 495*d/4.
d*(d - 990)/8
Let -20*g**2 - 94*g + 30 = 0. Calculate g.
-5, 3/10
Suppose 5*p**2 - 730*p + 26645 = 0. What is p?
73
Factor -8*h**3/9 + 34*h**2/9 - 40*h/9 + 8/9.
-2*(h - 2)**2*(4*h - 1)/9
Determine f so that -3*f**3 - 6*f**2 - 3*f = 0.
-1, 0
What is z in -z**4 + 49*z**3 - 775*z**2 + 3675*z + 4500 = 0?
-1, 15, 20
Suppose 2*j**2/15 + 38*j/15 + 176/15 = 0. Calculate j.
-11, -8
Factor 5*n**2 - 10180*n + 5181620.
5*(n - 1018)**2
Solve 2*z**2/9 + 284*z/3 + 10082 = 0.
-213
Factor 5*r**4 - 225*r**3 + 2195*r**2 - 3735*r + 1760.
5*(r - 32)*(r - 11)*(r - 1)**2
Solve o**4/2 + 4*o**3 - 12*o**2 - 16*o + 40 = 0.
-10, -2, 2
Factor 4*u**4 + 32*u**3 + 88*u**2 + 96*u + 36.
4*(u + 1)**2*(u + 3)**2
Factor 4*u**3 + 4*u**2.
4*u**2*(u + 1)
Find w, given that 4*w**2 + 16*w + 12 = 0.
-3, -1
Determine u so that -u**4 - 6*u**3 - 9*u**2 + 4*u + 12 = 0.
-3, -2, 1
Factor l**2/2 + 27*l/2 + 55.
(l + 5)*(l + 22)/2
Factor -12*o**2 - 16048*o - 5348.
-4*(o + 1337)*(3*o + 1)
Factor 10*k**3 - 225*k**2 + 485*k + 300.
5*(k - 20)*(k - 3)*(2*k + 1)
Factor 2*d**2 - 499*d - 250.
(d - 250)*(2*d + 1)
Factor w**5/9 + 2*w**4/9 - w**3 - 2*w**2.
w**2*(w - 3)*(w + 2)*(w + 3)/9
Factor -u**3/10 - 23*u**2/10 + 83*u/5 - 116/5.
-(u - 4)*(u - 2)*(u + 29)/10
Solve -162*z**4 + 801*z**3 - 597*z**2 - 66*z + 24 = 0 for z.
-2/9, 1/6, 1, 4
Determine k, given that k**5/2 - 31*k**4 + 1021*k**3/2 - 930*k**2 + 450*k = 0.
0, 1, 30
Factor 3*c**4 - 213*c**3 - 219*c**2 + 213*c + 216.
3*(c - 72)*(c - 1)*(c + 1)**2
Let p**5/3 - 25*p**4/3 - 131*p**3 + 11021*p**2/3 - 20768*p/3 + 3388 = 0. Calculate p.
-21, 1, 22
Determine p, given that p**2 + 591*p + 590 = 0.
-590, -1
Determine v so that 12*v**3 + 1601*v**2/3 - 287*v - 90 = 0.
-45, -2/9, 3/4
Find c, given that 4*c**4/7 - 104*c**3 + 1444*c**2/7 - 720*c/7 = 0.
0, 1, 180
What is f in 2*f**4/13 + 14*f**3/13 - 132*f**2/13 - 144*f/13 = 0?
-12, -1, 0, 6
Factor 20*p**4 + 716*p**3 - 160*p**2 - 576*p.
4*p*(p - 1)*(p + 36)*(5*p + 4)
What is d in -5*d**4 + 50*d**3 - 140*d**2 + 120*d = 0?
0, 2, 6
Factor 3*b**3/5 + 312*b**2/5 - 636*b/5.
3*b*(b - 2)*(b + 106)/5
Solve -2*q**2/11 - 74*q/11 - 504/11 = 0.
-28, -9
Factor 4*k**2 - 96*k + 432.
4*(k - 18)*(k - 6)
Factor -3*y**3 + 258*y**2.
-3*y**2*(y - 86)
Factor w**2/3 - 29*w/3 - 32.
(w - 32)*(w + 3)/3
Factor c**5/7 - 19*c**4/7 - 23*c**3/7 + 55*c**2/7 + 14*c + 40/7.
(c - 20)*(c - 2)*(c + 1)**3/7
Factor -2*j**2/3 - 296*j/9 - 98/9.
-2*(j + 49)*(3*j + 1)/9
What is w in -w**2/2 - 15*w/2 + 8 = 0?
-16, 1
Suppose -5*b**2/2 - 25*b/2 - 15 = 0. Calculate b.
-3, -2
Factor 5*m**4 + 60*m**3 - 135*m**2 + 70*m.
5*m*(m - 1)**2*(m + 14)
Factor 3*z**2 + 651*z.
3*z*(z + 217)
Suppose k**3 - 12*k**2 + 35*k - 24 = 0. Calculate k.
1, 3, 8
Solve -3*z**2 - 648*z - 34992 = 0 for z.
-108
Solve -8*u**5/5 + 36*u**4/5 - 32*u**3/5 - 24*u**2/5 + 8*u - 12/5 = 0.
-1, 1/2, 1, 3
What is u in 2*u**4/9 - 10*u**3/9 + 8*u**2/9 = 0?
0, 1, 4
Determine s so that s**5/4 - 65*s**4/4 + 575*s**3/2 + 625*s**2/2 - 109375*s/4 - 390625/4 = 0.
-5, 25
Factor 4*x**2 - 56*x + 180.
4*(x - 9)*(x - 5)
Solve i**5/5 - 24*i**4 + 3352*i**3/5 + 2976*i**2 + 15376*i/5 = 0.
-2, 0, 62
What is v in 2*v**3/7 + 2432*v**2/7 + 694*v + 2428/7 = 0?
-1214, -1
Let -t**3/8 - 321*t**2/8 - 34347*t/8 - 1225043/8 = 0. Calculate t.
-107
Let -1449*b**2/5 + 5802*b/5 - 24/5 = 0. Calculate b.
2/483, 4
Solve -5*j**3 - 265*j**2 - 4355*j - 22815 = 0.
-27, -13
Factor u**3 + 33*u**2 + 242*u.
u*(u + 11)*(u + 22)
What is x in -4*x**5 + 80*x**4 - 444*x**3 + 720*x**2 = 0?
0, 3, 5, 12
Factor -m**4 + 134*m**3 - 4489*m**2.
-m**2*(m - 67)**2
Factor -o**4/3 + 1886*o**3/3 - 891133*o**2/3 + 592204*o - 295788.
-(o - 942)**2*(o - 1)**2/3
Factor 2*j**2 + 420*j.
2*j*(j + 210)
Factor -3*h**2/5 + 198*h/5 - 744/5.
-3*(h - 62)*(h - 4)/5
Factor 2*m**3/3 - 64*m**2/3 - 440*m/3 - 608/3.
2*(m - 38)*(m + 2)*(m + 4)/3
Find m, given that -m**4 + 10*m**3 + 49*m**2 - 106*m - 312 = 0.
-4, -2, 3, 13
Find s, given that -2*s**3/3 - 1406*s**2 - 988418*s - 694857854/3 = 0.
-703
Factor -v**5 - 10*v**4 - 23*v**3 - 14*v**2.
-v**2*(v + 1)*(v + 2)*(v + 7)
Find s such that -4*s**3/5 - 28*s**2/5 + 112*s/5 - 16 = 0.
-10, 1, 2
Factor 9*z**2 - 60*z + 36.
3*(z - 6)*(3*z - 2)
Solve z**3 - 2*z**2 - 48*z = 0 for z.
-6, 0, 8
Factor 4*m**5 - 68*m**4 - 72*m**3.
4*m**3*(m - 18)*(m + 1)
Factor 4*s**4 + 136*s**3 + 384*s**2 - 15624*s - 15876.
4*(s - 9)*(s + 1)*(s + 21)**2
Find t, given that -7*t**5/3 - 19*t**4/3 + 139*t**3/3 - 17*t**2/3 - 44*t + 12 = 0.
-6, -1, 2/7, 1, 3
Solve -2*k**4/15 + 56*k**3/15 - 104*k**2/15 - 1344*k/5 - 3456/5 = 0.
-4, 18
Solve -2*p**5 + 2*p**4 + 6*p**3 - 2*p**2 - 4*p = 0 for p.
-1, 0, 1, 2
Factor 5*v**3 - 15*v**2 - 50*v + 120.
5*(v - 4)*(v - 2)*(v + 3)
Factor 3*t**4/2 + 99*t**3/2 + 486*t**2 + 648*t - 7776.
3*(t - 3)*(t + 12)**3/2
Factor 10*j**4 - 84*j**3 + 102*j**2 - 28*j.
2*j*(j - 7)*(j - 1)*(5*j - 2)
Find t such that t**4/4 + t**3/4 - 6*t**2 + 9*t = 0.
-6, 0, 2, 3
Determine j, given that 4*j**4/3 - 64*j**3/3 + 212*j**2/3 - 248*j/3 + 32 = 0.
1, 2, 12
Find t, given that t**4 + 3*t**3 + t**2 - 3*t - 2 = 0.
-2, -1, 1
Solve 18*y**5/5 + 8*y**4 - 64*y**3/5 - 52*y**2/5 + 46*y/5 + 12/5 = 0 for y.
-3, -1, -2/9, 1
Find w, given that 2*w**2/3 + 14*w/3 + 8 = 0.
-4, -3
Determine o, given that -o**2/6 - 69*o/2 = 0.
-207, 0
Factor -2*k**2/7 - 4208*k - 15493856.
-2*(k + 7364)**2/7
Factor -5*l**2 - 115*l + 120.
-5*(l - 1)*(l + 24)
Solve -32*r**4/3 + 176*r**3/3 - 194*r**2/3 - 44*r - 6 = 0.
-1/4, 3
Factor -2*p**3 + 54*p - 108.
-2*(p - 3)**2*(p + 6)
Factor -3*i**3 - 1209*i**2 - 2409*i - 1203.
-3*(i + 1)**2*(i + 401)
Factor 5*h**2 + 3940*h + 776180.
5*(h + 394)**2
Suppose -z**2 - 73*z + 74 = 0. What is z?
-74, 1
Factor 4*q**2/5 + 1388*q/5 - 5616/5.
4*(q - 4)*(q + 351)/5
Find c, given that -8*c**3 + 26*c**2 - 20*c = 0.
0, 5/4, 2
Find b such that -4*b**4 + 36*b**3 - 108*b**2 + 124*b - 48 = 0.
1, 3, 4
Suppose 175*o**3 - 1930*o**2 + 1845*o - 450 = 0. What is o?
3/7, 3/5, 10
Find c, given that c**3/2 - 24*c**2 + 693*c/2 - 1323 = 0.
6, 21
What is a in 2*a**4/3 + 40*a**3/3 + 266*a**2/3 + 244*a + 240 = 0?
-10, -4, -3
Factor -k**2 - 314*k - 24649.
-(k + 157)**2
Determine c, given that c**5 - 4*c**4 - c**3 + 16*c**2 - 12*c = 0.
-2, 0, 1, 2, 3
Find s such that 5*s**4 - 15*s**2 - 10*s = 0.
-1, 0, 2
Suppose -f**4/2 - 27*f**3 - 474*f**2 - 2533*f + 6069/2 = 0. What is f?
-21, -17, 1
Find x, given that 2*x**5/5 - 26*x**4/5 - 244*x**3/5 + 292*x**2/5 + 242*x/5 