+ 288/5.
-2*(v - 12)*(v + 2)*(v + 6)/5
Determine t so that -3*t**5 + 12*t**4 + 63*t**3 - 156*t**2 - 60*t + 144 = 0.
-4, -1, 1, 2, 6
Factor 2*s**4 - 28*s**3 + 128*s**2 - 228*s + 126.
2*(s - 7)*(s - 3)**2*(s - 1)
Find v, given that -243*v**5 + 216*v**4 + 195*v**3 - 216*v**2 + 48*v = 0.
-1, 0, 4/9, 1
Suppose -25*x**4/8 - 35*x**3/4 + 11*x**2/8 + 21*x/2 - 9/2 = 0. What is x?
-2, 3/5
Factor 4*z**3 - 40*z**2 - 412*z + 448.
4*(z - 16)*(z - 1)*(z + 7)
Factor -4*x**3/3 + 328*x**2/3 - 4004*x/3 + 13328/3.
-4*(x - 68)*(x - 7)**2/3
Factor -5*g**5 + 75*g**4 - 360*g**3 + 540*g**2.
-5*g**2*(g - 6)**2*(g - 3)
What is i in 5*i**3 + 805*i**2 + 42395*i + 725595 = 0?
-61, -39
Factor w**2/4 - 29*w/2.
w*(w - 58)/4
Suppose 3*o**3 - 93*o**2 + 960*o - 3300 = 0. What is o?
10, 11
Factor 5*q**2 + 685*q - 1390.
5*(q - 2)*(q + 139)
Solve -2*b**2/9 + 304*b/9 = 0.
0, 152
Factor 20*w**5 + 55*w**4 - 100*w**3 - 320*w**2 + 80*w + 400.
5*(w - 2)*(w + 2)**3*(4*w - 5)
Factor -2*d**2/3 - 38*d/3 - 60.
-2*(d + 9)*(d + 10)/3
Factor 4*k**2 - 3112*k + 6208.
4*(k - 776)*(k - 2)
What is c in c**2/2 + 3*c + 5/2 = 0?
-5, -1
Factor -z**5 + 2*z**4 + 4*z**3 - 2*z**2 - 3*z.
-z*(z - 3)*(z - 1)*(z + 1)**2
Solve -4*v**5 + 24*v**4 + 532*v**3 + 456*v**2 - 5328*v + 4320 = 0 for v.
-6, 1, 2, 15
Factor -5*v**3 + 20*v**2 + 95*v + 70.
-5*(v - 7)*(v + 1)*(v + 2)
Factor c**2 - 329*c + 328.
(c - 328)*(c - 1)
Solve -3*k**3/7 + 288*k**2/7 + 1809*k/7 + 2754/7 = 0 for k.
-3, 102
Factor -4*o**4 - 24*o**3 - 32*o**2.
-4*o**2*(o + 2)*(o + 4)
Factor 15*f**3 + 365*f**2 - 1095*f - 405.
5*(f - 3)*(f + 27)*(3*f + 1)
Factor -5*s**5 + 30*s**4 - 65*s**3 + 60*s**2 - 20*s.
-5*s*(s - 2)**2*(s - 1)**2
Solve 18*m**2 - 290*m + 32 = 0 for m.
1/9, 16
Find o, given that 2*o**4/15 + 2*o**3/5 - 8*o**2/15 - 8*o/5 = 0.
-3, -2, 0, 2
Factor -159*m**2 - 282*m + 72.
-3*(m + 2)*(53*m - 12)
Solve 25*i**5/4 + 545*i**4 - 1781*i**3/4 - 457*i**2 + 439*i - 88 = 0 for i.
-88, -1, 2/5, 1
Factor -2*k**2 + 68*k.
-2*k*(k - 34)
Factor -j**2/5 + 51*j/5 + 52/5.
-(j - 52)*(j + 1)/5
Factor 2*q**4 - 14*q**3 - 82*q**2 - 66*q.
2*q*(q - 11)*(q + 1)*(q + 3)
Factor c**3/5 - 16*c**2/5 + 64*c/5.
c*(c - 8)**2/5
Factor -3*k**2/4 + 69*k - 1587.
-3*(k - 46)**2/4
Find u such that -u**5 - 11*u**4 + 46*u**3 + 56*u**2 = 0.
-14, -1, 0, 4
Determine x so that -4*x**5 - 4*x**4 + 40*x**3 + 40*x**2 - 36*x - 36 = 0.
-3, -1, 1, 3
Let -l**4 - 2*l**3 + 3*l**2 + 8*l + 4 = 0. What is l?
-2, -1, 2
Suppose -d**3/5 + 451*d**2/5 - 10215*d + 10125 = 0. What is d?
1, 225
Factor -2*q**4 - 32*q**3 - 154*q**2 - 220*q - 96.
-2*(q + 1)**2*(q + 6)*(q + 8)
Factor -l**3/3 + 4*l**2/3 + 649*l/3 + 644/3.
-(l - 28)*(l + 1)*(l + 23)/3
Factor -121*j**3/6 - 22*j**2/3 - 2*j/3.
-j*(11*j + 2)**2/6
Factor -4*w**4 + 10*w**3 - 4*w**2.
-2*w**2*(w - 2)*(2*w - 1)
What is q in -4*q**3 - 156*q**2 - 152*q = 0?
-38, -1, 0
Factor w**3/10 - 509*w**2/5 + 259081*w/10.
w*(w - 509)**2/10
Solve 2*c**5 - 2*c**4 - 20*c**3 + 8*c**2 + 48*c = 0 for c.
-2, 0, 2, 3
Solve b**2 + 494*b + 61009 = 0 for b.
-247
Solve 2*x**4 - 11*x**3/2 + 5*x**2/2 + x = 0 for x.
-1/4, 0, 1, 2
Determine n so that -5*n**5/3 - 19*n**4 - 256*n**3/3 - 568*n**2/3 - 208*n - 272/3 = 0.
-17/5, -2
Determine b, given that -3*b**2/8 + 87*b/4 - 2223/8 = 0.
19, 39
Determine o, given that -3*o**3 + 9*o**2 - 6*o = 0.
0, 1, 2
Find h such that 4*h**4/7 + 4*h**3 - 16*h**2 + 80*h/7 = 0.
-10, 0, 1, 2
Suppose -5*t**2 + 8620*t - 3715220 = 0. Calculate t.
862
Let 2*a**2/5 + 162*a/5 + 316/5 = 0. Calculate a.
-79, -2
Factor 5*b**2/3 + 35*b + 520/3.
5*(b + 8)*(b + 13)/3
What is m in -5*m**5 + 10*m**4 + 25*m**3 - 50*m**2 - 20*m + 40 = 0?
-2, -1, 1, 2
Factor 4*p**3/5 + 2144*p**2/5 + 289428*p/5 + 570312/5.
4*(p + 2)*(p + 267)**2/5
Factor 15*r**2 - 204*r - 84.
3*(r - 14)*(5*r + 2)
Factor b**2/2 - 2*b - 6.
(b - 6)*(b + 2)/2
Factor -i**4/2 + 73*i**3 + 755*i**2/2.
-i**2*(i - 151)*(i + 5)/2
Factor -2*h**2/3 - 4988*h/3 - 1662.
-2*(h + 1)*(h + 2493)/3
Factor -2*g**2/3 - 268*g/3 + 90.
-2*(g - 1)*(g + 135)/3
Factor y**2 + 63*y - 198.
(y - 3)*(y + 66)
Factor -t**2 - 43*t.
-t*(t + 43)
Factor -506*s**3 - 1522*s**2/3 - 4*s/3.
-2*s*(s + 1)*(759*s + 2)/3
Factor 5*v**3 - 20*v**2 - 25*v.
5*v*(v - 5)*(v + 1)
Determine z so that 2*z**4 + 6*z**3 - 28*z**2 - 24*z + 80 = 0.
-5, -2, 2
Let -2*v**2/5 - 144*v/5 - 1792/5 = 0. Calculate v.
-56, -16
Factor 4*v**4 - 72*v**3 - 156*v**2 - 80*v.
4*v*(v - 20)*(v + 1)**2
Solve -2*q**3/3 - 2*q**2/3 + 10*q/3 - 2 = 0.
-3, 1
Suppose 3*i**2/4 + 18*i - 4611/4 = 0. What is i?
-53, 29
Factor 328*f**3 + 496*f**2 + 170*f + 2.
2*(f + 1)*(2*f + 1)*(82*f + 1)
Factor -c**2/2 - 23*c/2 + 12.
-(c - 1)*(c + 24)/2
Factor s**3/4 - 16*s**2 + 285*s - 900.
(s - 30)**2*(s - 4)/4
Determine a so that a**2 - 131*a + 258 = 0.
2, 129
Suppose 4*v**3 + 28*v**2 + 40*v = 0. What is v?
-5, -2, 0
Solve -4*i**3 + 20*i**2 = 0.
0, 5
Factor 25*u**3 - 390*u**2 - 160*u.
5*u*(u - 16)*(5*u + 2)
Let h**4/7 + h**3 - 12*h**2/7 - 4*h + 32/7 = 0. Calculate h.
-8, -2, 1, 2
Determine l, given that -8*l**2/9 + 98*l/3 + 74/9 = 0.
-1/4, 37
Suppose 2*y**5 + 62*y**4/3 + 188*y**3/3 + 92*y**2/3 - 86*y - 30 = 0. Calculate y.
-5, -3, -1/3, 1
Determine y so that -2*y**4/11 - 36*y**3/11 - 16*y**2 - 252*y/11 - 10 = 0.
-11, -5, -1
Suppose -12*u**4 - 28*u**3 + 28*u**2 + 12*u = 0. What is u?
-3, -1/3, 0, 1
Factor -2*w**2/13 - 70*w/13 + 148/13.
-2*(w - 2)*(w + 37)/13
Solve 60*x**3 + 104*x**2 - 48*x - 32 = 0.
-2, -2/5, 2/3
Determine m, given that -m**2/4 + 21*m/2 + 43/4 = 0.
-1, 43
What is g in g**3/5 + 86*g**2/5 - 53*g + 178/5 = 0?
-89, 1, 2
Solve 3*d**2 - 18*d - 21 = 0.
-1, 7
Factor b**4 + 26*b**3 - 59*b**2 - 2964*b + 12996.
(b - 6)**2*(b + 19)**2
Factor 6*g**3/5 - 132*g**2/5 - 1158*g/5 - 348.
6*(g - 29)*(g + 2)*(g + 5)/5
Factor 2*s**3/5 + 2652*s**2/5 - 5318*s/5 - 7968/5.
2*(s - 3)*(s + 1)*(s + 1328)/5
Suppose 52*x**5 + 400*x**4 + 808*x**3 - 288*x**2 - 1404*x + 432 = 0. Calculate x.
-3, 4/13, 1
Find x such that -3*x**4 + 33*x**3 - 72*x**2 - 12*x + 96 = 0.
-1, 2, 8
What is r in -3*r**3 - 3177*r**2 - 1121481*r - 131960931 = 0?
-353
Determine h so that 3*h**3/7 + 27*h**2/7 + 45*h/7 + 3 = 0.
-7, -1
Factor 2*k**4/9 + 14*k**3/9 + 34*k**2/9 + 34*k/9 + 4/3.
2*(k + 1)**2*(k + 2)*(k + 3)/9
Suppose -76*m**4 - 208*m**3 - 168*m**2 - 16*m + 20 = 0. What is m?
-1, 5/19
Factor 3*l**4/4 + 429*l**3/2 + 62199*l**2/4 + 30459*l + 15123.
3*(l + 1)**2*(l + 142)**2/4
Suppose p**5/5 - 6*p**4/5 + p**3 + 12*p**2/5 = 0. What is p?
-1, 0, 3, 4
Factor 2*x**4/5 - 4*x**3/5 - 96*x**2/5 - 252*x/5 - 162/5.
2*(x - 9)*(x + 1)*(x + 3)**2/5
Determine z so that -2*z**5/15 - 62*z**4/15 + 134*z**3/15 + 62*z**2/15 - 44*z/5 = 0.
-33, -1, 0, 1, 2
Factor -3*g**3 - 123*g**2 + 255*g - 129.
-3*(g - 1)**2*(g + 43)
Factor -5*q**3 - 50*q**2 - 80*q.
-5*q*(q + 2)*(q + 8)
Factor -2*f**3/7 - 178*f**2/7 + 362*f/7 - 26.
-2*(f - 1)**2*(f + 91)/7
Determine g, given that g**5/2 - 2*g**4 - 9*g**3/2 + 8*g**2 + 10*g = 0.
-2, -1, 0, 2, 5
Factor 5*h**2 - 170*h + 1445.
5*(h - 17)**2
Let j**5/3 - 7*j**4/3 + 2*j**3 + 32*j**2/3 - 32*j/3 = 0. What is j?
-2, 0, 1, 4
Find a such that 12*a**3 + 88*a**2 + 116*a - 120 = 0.
-5, -3, 2/3
Determine m so that -126*m**4 + 4012*m**3 + 5848*m**2/9 - 2800*m/9 - 512/9 = 0.
-2/9, 2/7, 32
Factor 7*p**4 - 12*p**3 - 25*p**2 - 6*p.
p*(p - 3)*(p + 1)*(7*p + 2)
Solve w**5/7 + 20*w**4/7 + 22*w**3 + 80*w**2 + 925*w/7 + 500/7 = 0.
-5, -4, -1
Factor -20*x**3/9 - 28*x**2/9 + 28*x/3 - 4.
-4*(x - 1)*(x + 3)*(5*x - 3)/9
Suppose -2*w**2/5 - 276*w/5 - 274/5 = 0. What is w?
-137, -1
Factor w**5 + 2*w**4 + w**3.
w**3*(w + 1)**2
Let 2*c**4 + 282*c**3 = 0. What is c?
-141, 0
Determine w so that 121*w**3/9 - 55*w**2 + 48*w - 12 = 0.
6/11, 3
Determine n, given that -n**3/2 + 919*n**2/2 - 211599*n/2 + 210681/2 = 0.
1, 459
Let -2*n**4/9 + 68*n**3/9 - 362*n**2/9 - 48*n = 0. What is n?
-1, 0, 8, 27
Factor b**4/3 - 28*b**3/3 + 221*b**2/3 - 338*b/3.
b*(b - 13)**2*(b - 2)/3
Factor d**3/3 - 7*d**2/3.
d**2*(d - 7)/3
Find p such that -p**4 + 6*p**3 - 4*p**2 - 6*p + 5 = 0.
-1, 1, 5
Factor 3*b**3 + 63*b**2 + 270*b.
3*b*(b + 6)*(b + 15)
Factor -2*u**5/7 + 14*u**4 - 1196*u**3/7.
-2*u**3*(u - 26)*(u - 23)/7
Factor -z**2/3 + 404*z/3.
-z*(z - 404)/3
Factor -2*v**3/5 + 15*v**2 - 756*v/5 + 972/5.
-(v - 18)**2*(2*v - 3)/5
Factor 3*l**4/4 - 47*l**3/2 - 163*l**2/4 - 33*l/2.
l*(l - 33)*(l + 1)*(3*l + 2)/4
