
4*(y - 3)**2*(y + 2)
Factor -2*o**2/11 - 6*o/11.
-2*o*(o + 3)/11
Find w such that -1089*w**2/5 - 264*w/5 - 16/5 = 0.
-4/33
Determine v so that -3*v**3 + 15*v**2 + 18*v = 0.
-1, 0, 6
Let 3*m**3 + 50*m**2 + 32*m = 0. Calculate m.
-16, -2/3, 0
Solve -4*r**4 + 120*r**3 - 1012*r**2 + 1680*r - 784 = 0 for r.
1, 14
Factor v**2 + 1004*v + 252004.
(v + 502)**2
Let -4*c**5/7 - 16*c**4/7 + 52*c**3/7 + 16*c**2/7 - 48*c/7 = 0. Calculate c.
-6, -1, 0, 1, 2
Solve -3*l**2 - 33*l - 72 = 0 for l.
-8, -3
Factor -3*r**3 - 72*r**2 + 165*r + 234.
-3*(r - 3)*(r + 1)*(r + 26)
Factor -2*x**3 + 182*x**2 + 1146*x + 1746.
-2*(x - 97)*(x + 3)**2
Suppose 4*u**4 - 40*u**3 + 128*u**2 - 152*u + 60 = 0. What is u?
1, 3, 5
Determine k, given that 4*k**3 + 40*k**2 - 36*k - 360 = 0.
-10, -3, 3
Find x, given that 2*x**5/5 - 22*x**4/5 - 12*x**3/5 + 792*x**2/5 - 432*x = 0.
-6, 0, 5, 6
Suppose 2*n**3/3 + 250*n**2/3 - 84*n = 0. What is n?
-126, 0, 1
What is u in u**2 + 3*u - 28 = 0?
-7, 4
Let -4*f**3 + 80*f**2 - 268*f + 192 = 0. What is f?
1, 3, 16
Factor -p**2 + 14*p + 15.
-(p - 15)*(p + 1)
Factor -4*y**2 + 248*y - 3844.
-4*(y - 31)**2
Determine v, given that 2*v**4 + 172*v**3 + 824*v**2 + 1140*v + 486 = 0.
-81, -3, -1
Factor -2*q**2/3 + 16*q/3 + 806.
-2*(q - 39)*(q + 31)/3
Factor 39*d**2/4 + 489*d/4 - 117/2.
3*(d + 13)*(13*d - 6)/4
Determine c so that -3*c**4/7 - 156*c**3/7 + 3*c**2/7 + 156*c/7 = 0.
-52, -1, 0, 1
Find d such that -7*d**3 + 41*d**2/3 - 8*d + 4/3 = 0.
2/7, 2/3, 1
Factor 2*s**3/7 + 40*s**2/7 + 134*s/7 + 96/7.
2*(s + 1)*(s + 3)*(s + 16)/7
Factor w**3/3 + w**2/3 - 2*w.
w*(w - 2)*(w + 3)/3
Factor -b**4 - 2*b**3 + 7*b**2 - 4*b.
-b*(b - 1)**2*(b + 4)
Suppose 5*o**2 - 1255*o - 1260 = 0. Calculate o.
-1, 252
Factor b**4 - 12*b**3 + 42*b**2 - 52*b + 21.
(b - 7)*(b - 3)*(b - 1)**2
Find f, given that -2*f**3/5 + 52*f**2/5 - 142*f/5 + 92/5 = 0.
1, 2, 23
Factor 2*x**2 - 520*x + 33800.
2*(x - 130)**2
Solve -18*i**4/7 + 19*i**3/7 + 5*i**2 - 2*i/7 = 0.
-1, 0, 1/18, 2
Determine c so that -c**2/4 + 13*c = 0.
0, 52
Let 3*w**4/4 + 15*w**3/2 + 27*w**2/4 = 0. What is w?
-9, -1, 0
Suppose 4*l**3/9 + 1696*l**2/3 + 719104*l/3 + 304900096/9 = 0. Calculate l.
-424
Find m, given that m**2 + 103*m + 202 = 0.
-101, -2
Suppose -5*j**5 - 45*j**4 - 160*j**3 - 280*j**2 - 240*j - 80 = 0. What is j?
-2, -1
Factor 2*r**2/11 - 14*r/11 - 16/11.
2*(r - 8)*(r + 1)/11
Suppose -125*i**3 + 550*i**2 - 780*i + 360 = 0. What is i?
6/5, 2
Find a such that 10*a**4 - 1205*a**3 + 595*a**2 + 600*a = 0.
-1/2, 0, 1, 120
What is c in -10*c**5/3 - 12*c**4 - 34*c**3/3 + 8*c/3 = 0?
-2, -1, 0, 2/5
Factor 5*f**3 - 285*f**2 + 2880*f + 35840.
5*(f - 32)**2*(f + 7)
Factor 5*c**2 + 4170*c + 4165.
5*(c + 1)*(c + 833)
Solve 3*g**5 + 15*g**4 + 21*g**3 + 9*g**2 = 0.
-3, -1, 0
Let -x**3/6 - 25*x**2/3 - 425*x/6 - 500/3 = 0. What is x?
-40, -5
Determine g so that 2*g**4 + 12058*g**3/7 + 370290*g**2 - 1861058*g/7 - 743044/7 = 0.
-431, -2/7, 1
Let 2*p**2/7 + 16*p + 224 = 0. Calculate p.
-28
Factor -3*w**2/7 - 6*w - 21.
-3*(w + 7)**2/7
Factor 49*o**3/2 + 427*o**2 - 250*o + 36.
(o + 18)*(7*o - 2)**2/2
Suppose -b**3/2 + 129*b**2/2 + 529*b/2 + 399/2 = 0. Calculate b.
-3, -1, 133
Factor -3*d**2/8 + 513*d/8 + 519/4.
-3*(d - 173)*(d + 2)/8
Factor 20*m**3 + 235*m**2 + 660*m - 180.
5*(m + 6)**2*(4*m - 1)
What is l in -12*l**3 + 218*l**2 - 34*l - 36 = 0?
-1/3, 1/2, 18
Factor 2*d**2/3 + 5848*d/3 + 4274888/3.
2*(d + 1462)**2/3
Suppose -2*y**4 + 36*y**3 + 174*y**2 + 56*y - 264 = 0. What is y?
-3, -2, 1, 22
Let -2*w**3/7 - 34*w**2/7 - 160*w/7 - 128/7 = 0. Calculate w.
-8, -1
Factor -2*i**2/7 - 20*i - 350.
-2*(i + 35)**2/7
Determine t so that 4*t**5 + 12*t**4 - 16*t**2 = 0.
-2, 0, 1
Factor 3*m**2 - 123*m.
3*m*(m - 41)
What is b in -b**5 + 521*b**4 - 67072*b**3 - 205932*b**2 = 0?
-3, 0, 262
Factor a**2/2 - 32*a + 512.
(a - 32)**2/2
Solve -k**4 - 364*k**3 - 44286*k**2 - 1815484*k - 1771561 = 0 for k.
-121, -1
Factor -4*l**2/5 - 1544*l/5 - 148996/5.
-4*(l + 193)**2/5
Factor -225*t**4 - 210*t**3 + 96*t**2 + 96*t.
-3*t*(3*t - 2)*(5*t + 4)**2
Factor -8*u**3/3 - 70*u**2 - 468*u - 338/3.
-2*(u + 13)**2*(4*u + 1)/3
Factor 2*m**5/11 - 24*m**4/11 - 54*m**3/11 - 28*m**2/11.
2*m**2*(m - 14)*(m + 1)**2/11
Factor 4*i**2 - 176*i - 180.
4*(i - 45)*(i + 1)
Factor -q**2/5 - 19*q/5.
-q*(q + 19)/5
Let 12*n**5 + 363*n**4 - 306*n**3 - 843*n**2 - 186*n = 0. What is n?
-31, -1, -1/4, 0, 2
Factor -10*n**2 - 66*n - 36.
-2*(n + 6)*(5*n + 3)
Find j such that j**5/2 + 465*j**4/2 + 463*j**3/2 - 465*j**2/2 - 232*j = 0.
-464, -1, 0, 1
Suppose 2*n**2 - 4*n - 1456 = 0. Calculate n.
-26, 28
Solve 15*y**5 - 20*y**4 - 40*y**3 + 30*y**2 + 25*y - 10 = 0.
-1, 1/3, 1, 2
Factor n**3 - 621*n**2 - n + 621.
(n - 621)*(n - 1)*(n + 1)
Solve -c**5 + 17*c**4 - 15*c**3 - 17*c**2 + 16*c = 0.
-1, 0, 1, 16
Factor -4*t**4 + 16*t**3 - 12*t**2 - 16*t + 16.
-4*(t - 2)**2*(t - 1)*(t + 1)
Solve 4*w**4 + 112*w**3 + 664*w**2 - 1680*w + 900 = 0 for w.
-15, 1
Factor 3*k**2 + 15*k.
3*k*(k + 5)
Factor 4*r**2 + 692*r.
4*r*(r + 173)
Suppose b**3/2 + 25*b**2/2 + 143*b/2 - 169/2 = 0. What is b?
-13, 1
Factor -33*f**2 + 189*f - 156.
-3*(f - 1)*(11*f - 52)
Suppose -i**2 - 100*i = 0. Calculate i.
-100, 0
Factor 3*y**3/2 + 93*y**2.
3*y**2*(y + 62)/2
Factor -2*v**5 - 60*v**4 + 482*v**3 - 1292*v**2 + 1464*v - 592.
-2*(v - 2)**3*(v - 1)*(v + 37)
Find d such that 14700*d**5 + 124635*d**4/2 - 59172*d**3 - 33099*d**2/2 - 1266*d - 30 = 0.
-5, -1/8, -2/35, 1
Factor -6*l**2/7 - 6*l + 108/7.
-6*(l - 2)*(l + 9)/7
Factor -y**2/5 - 291*y/5 + 602.
-(y - 10)*(y + 301)/5
Find i, given that -2*i**4 + 30*i**2 - 20*i - 48 = 0.
-4, -1, 2, 3
Factor -14*p**3 + 214*p**2 - 760*p + 200.
-2*(p - 10)*(p - 5)*(7*p - 2)
Find u such that 11*u**5/4 + 119*u**4/4 - 77*u**3/2 - 698*u**2 + 832*u - 128 = 0.
-8, 2/11, 1, 4
Let 5*p**5 - 10*p**4 - 10*p**3 + 20*p**2 + 5*p - 10 = 0. What is p?
-1, 1, 2
Solve 2*f**3 + 116*f**2 - 8*f - 464 = 0 for f.
-58, -2, 2
Factor -3*y**5/5 + 375*y**4 - 58029*y**3 - 176343*y**2 - 177096*y - 295788/5.
-3*(y - 314)**2*(y + 1)**3/5
Factor 6845*w**5 - 8325*w**4 + 1560*w**3 - 80*w**2.
5*w**2*(w - 1)*(37*w - 4)**2
Factor 2*v**2/7 - 9052*v/7 + 10242338/7.
2*(v - 2263)**2/7
Suppose -2*h**5/9 + 4*h**4/3 - 16*h**3/9 - 4*h**2/9 + 2*h - 8/9 = 0. What is h?
-1, 1, 4
Factor 128*v**4 - 36704*v**3 + 27480*v**2 - 6866*v + 572.
2*(v - 286)*(4*v - 1)**3
Solve -l**2 + 1592*l - 3180 = 0 for l.
2, 1590
Factor 5*l**2 - 125*l + 630.
5*(l - 18)*(l - 7)
Solve n**4/6 - 13*n**2/6 + 2*n = 0.
-4, 0, 1, 3
Solve -2*b**4/5 + 144*b**3/5 - 2444*b**2/5 - 5328*b/5 - 2738/5 = 0 for b.
-1, 37
Factor 5*z**2 + 25*z - 180.
5*(z - 4)*(z + 9)
Solve -2*y**3 + 146*y**2 - 144*y = 0.
0, 1, 72
Factor a**2/6 + 17*a/2 + 45.
(a + 6)*(a + 45)/6
What is v in -5*v**3 + 10650*v**2 + 21315*v + 10660 = 0?
-1, 2132
Factor -2*y**4 + 16*y**3 - 10*y**2 - 28*y.
-2*y*(y - 7)*(y - 2)*(y + 1)
Factor 164738*c**4/11 + 661248*c**3/11 + 668144*c**2/11 + 9216*c/11 + 32/11.
2*(c + 2)**2*(287*c + 2)**2/11
Factor 2*m**3/5 - 192*m**2/5 + 354*m + 153164/5.
2*(m - 59)**2*(m + 22)/5
Let 34*k**4 - 166*k**3 - 156*k**2 + 664*k + 80 = 0. What is k?
-2, -2/17, 2, 5
Solve -2*o**2/3 + 44*o/3 = 0 for o.
0, 22
Factor 49*j**4 - 9562*j**3 + 462373*j**2 + 401604*j + 86436.
(j - 98)**2*(7*j + 3)**2
Factor 2*j**3 - 2*j**2.
2*j**2*(j - 1)
Determine m, given that -5*m**2 + 30*m - 45 = 0.
3
Factor 2*a**2 - 4*a - 1798.
2*(a - 31)*(a + 29)
Find m such that 5*m**5 - 40*m**4 + 95*m**3 - 40*m**2 - 100*m + 80 = 0.
-1, 1, 2, 4
Solve 3*d**3/7 - 249*d**2/7 - 12*d/7 + 996/7 = 0.
-2, 2, 83
Let -2*o**5/11 + 76*o**4/11 - 502*o**3/11 - 580*o**2/11 = 0. Calculate o.
-1, 0, 10, 29
Factor -2*i**5/11 + 8*i**4/11 - 10*i**3/11 + 4*i**2/11.
-2*i**2*(i - 2)*(i - 1)**2/11
Find s, given that s**4 - 16*s**3 + 39*s**2 + 4*s - 52 = 0.
-1, 2, 13
Let -14*t**4/3 - 80*t**3/3 - 46*t**2/3 + 20*t/3 = 0. Calculate t.
-5, -1, 0, 2/7
Suppose 3*c**5 - 132*c**4 + 1011*c**3 + 9474*c**2 + 21300*c + 15000 = 0. Calculate c.
-2, 25
Factor 5*x**4 - 20*x**3 - 135*x**2 - 190*x - 80.
5*(x - 8)*(x + 1)**2*(x + 2)
What is a in 5*a**3 - 5*a = 0?
-1, 0, 1
Let -3*t**2/4 + 33*t/4 - 18 = 0. What is t?
3, 8
Factor 45*a**3 - 265*a**2 + 520*a - 340.
5*(a - 2)**2*(9*a - 17)
Factor -2*v**3/15 - 22*v**2/15 + 16*v/3 - 56/15.
-2*(v - 2)*(v - 1)*(v + 14)/15
Find j, given that -25*j