 + 367)**2/2
Let 5*a**2/4 + 7*a/2 - 3/4 = 0. Calculate a.
-3, 1/5
Factor -3*i**5/2 + 27*i**4/2 - 12*i**3.
-3*i**3*(i - 8)*(i - 1)/2
Factor -3*t**3 - 3*t**2 + 6*t.
-3*t*(t - 1)*(t + 2)
Determine i, given that -2*i**3/15 - 10*i**2 + 2288*i/15 = 0.
-88, 0, 13
Factor -i**2/3 + 8*i/3 - 16/3.
-(i - 4)**2/3
Factor 50*w**3 - 22540*w**2 + 18008*w - 3600.
2*(w - 450)*(5*w - 2)**2
What is w in 3*w**5 + 9*w**4 + 3*w**3 - 9*w**2 - 6*w = 0?
-2, -1, 0, 1
Factor -7*i**4 - 229*i**3 + 1641*i**2 - 2907*i + 702.
-(i - 3)**2*(i + 39)*(7*i - 2)
Factor -2*w**2/15 + 92*w/15.
-2*w*(w - 46)/15
Solve -2*c**5 + 34*c**4 + 74*c**3 + 38*c**2 = 0.
-1, 0, 19
Solve -6*b**3/13 - 116*b**2/13 - 146*b/13 - 36/13 = 0.
-18, -1, -1/3
Factor 6*n**5/5 - 6*n**4/5 - 6*n**3 - 18*n**2/5.
6*n**2*(n - 3)*(n + 1)**2/5
Factor -2*i**2/19 - 16*i/19 - 32/19.
-2*(i + 4)**2/19
Let 2*c**4 - 116*c**3 + 2226*c**2 - 14696*c + 12584 = 0. What is c?
1, 13, 22
Suppose j**5/3 - 11*j**3/3 + 6*j**2 - 8*j/3 = 0. What is j?
-4, 0, 1, 2
Factor 3*j**4 - 246*j**3 + 240*j**2 + 246*j - 243.
3*(j - 81)*(j - 1)**2*(j + 1)
Find j, given that j**4/7 + 6*j**3/7 + 9*j**2/7 + 4*j/7 = 0.
-4, -1, 0
Factor -4*y**2 - 468*y - 6800.
-4*(y + 17)*(y + 100)
Factor p**2/3 - 38*p/3.
p*(p - 38)/3
Let v**2 - 64 = 0. Calculate v.
-8, 8
Solve 3*a**2/4 - 429*a/4 + 1035/2 = 0.
5, 138
Determine s, given that 2*s**3/13 + 200*s**2/13 + 5000*s/13 = 0.
-50, 0
Factor 4*n**2 - 1248*n.
4*n*(n - 312)
Find w, given that w**2/6 - 3*w/2 - 5/3 = 0.
-1, 10
Factor -s**5 + 3*s**4 + 23*s**3 + 33*s**2 + 14*s.
-s*(s - 7)*(s + 1)**2*(s + 2)
Solve -20*v**4 - 76*v**3 + 236*v**2 - 164*v + 24 = 0 for v.
-6, 1/5, 1
What is h in 75*h**4 - 570*h**3 - 1572*h**2 + 4554*h + 9801 = 0?
-11/5, 3, 9
Factor -3*h**2/8 + 807*h/4 + 4869/8.
-3*(h - 541)*(h + 3)/8
Let -2*t**2/9 - 70*t/3 - 68 = 0. What is t?
-102, -3
Factor -3*x**4 + 4656*x**3 - 1825056*x**2 + 14377728*x - 28607232.
-3*(x - 772)**2*(x - 4)**2
What is l in 3*l**3 - 90*l**2 + 900*l - 3000 = 0?
10
Find a, given that 6*a**4 + 1390*a**3 + 78862*a**2 - 190710*a + 54756 = 0.
-117, 1/3, 2
Solve -14*p**4/5 + 486*p**3/5 + 1176*p**2/5 + 296*p/5 = 0 for p.
-2, -2/7, 0, 37
Factor -123*k**2/4 - 243*k/4 + 3/2.
-3*(k + 2)*(41*k - 1)/4
Suppose -q**2/3 + 17*q/3 = 0. What is q?
0, 17
Determine t, given that -2*t**5/7 + 4*t**4/7 + 34*t**3/7 - 20*t**2 + 184*t/7 - 80/7 = 0.
-5, 1, 2
Determine i, given that -42*i**5 + 219*i**4 + 249*i**3 - 273*i**2 - 207*i + 54 = 0.
-1, 3/14, 1, 6
Factor 1661521*s**2/6 - 1289*s/3 + 1/6.
(1289*s - 1)**2/6
Find t such that 4*t**5 - 1158*t**4 + 334073*t**3/4 + 170231*t**2/4 - 147465*t/4 + 21025/4 = 0.
-1, 1/4, 145
Let -x**5 + 183*x**4 - 10976*x**3 + 204104*x**2 + 691920*x + 476656 = 0. What is x?
-2, -1, 62
Determine y so that -4*y**3 - 1524*y**2 - 145920*y - 144400 = 0.
-190, -1
Let -2*v**5 + 19*v**4 + 154*v**3 + 180*v**2 - 216*v - 135 = 0. What is v?
-3, -1/2, 1, 15
Factor 3*a**4/2 - 15*a**3 - 69*a**2/2 - 18*a.
3*a*(a - 12)*(a + 1)**2/2
Let 3*s**2 - 204*s - 2340 = 0. Calculate s.
-10, 78
Find d such that 105*d**4/2 + 216*d**3 + 18*d**2 - 24*d = 0.
-4, -2/5, 0, 2/7
Determine t, given that -25*t**2 + 160*t + 185 = 0.
-1, 37/5
Factor 2*x**3 + 12*x**2 - 30*x + 16.
2*(x - 1)**2*(x + 8)
Solve -3*s**3 - 24*s**2 + 69*s + 90 = 0.
-10, -1, 3
Solve 5*o**5/3 - 185*o**3/3 - 140*o**2 = 0 for o.
-4, -3, 0, 7
Factor -3*a**5 - 39*a**4 - 66*a**3.
-3*a**3*(a + 2)*(a + 11)
Factor r**4 - 30*r**3 + 193*r**2 + 480*r + 256.
(r - 16)**2*(r + 1)**2
Factor -2*s**3 + 76*s**2 + 78*s.
-2*s*(s - 39)*(s + 1)
Factor -s**2/4 + 1929*s - 3721041.
-(s - 3858)**2/4
Find h such that 4*h**2 - 3016*h = 0.
0, 754
Factor 2*u**3/9 - 26*u**2/9 - 32*u/3.
2*u*(u - 16)*(u + 3)/9
Factor 3*t**3 + 222*t**2 - 225*t.
3*t*(t - 1)*(t + 75)
Solve -2*d**4/13 - 148*d**3/13 - 3000*d**2/13 - 700*d + 12250/13 = 0 for d.
-35, -5, 1
Find y such that -y**3/4 + 6*y**2 + 51*y/4 + 13/2 = 0.
-1, 26
Factor -g**3 - 31*g**2 + 385*g - 1025.
-(g - 5)**2*(g + 41)
Factor t**3/4 + t**2/2 - 11*t/4 - 3.
(t - 3)*(t + 1)*(t + 4)/4
Factor -2*t**2/3 + 44*t/3 + 46/3.
-2*(t - 23)*(t + 1)/3
Suppose 2*z**5/19 + 26*z**4/19 - 12*z**3/19 - 140*z**2/19 + 202*z/19 - 78/19 = 0. What is z?
-13, -3, 1
Suppose 8*r**3 - 68*r**2/3 + 64*r/3 - 20/3 = 0. What is r?
5/6, 1
Factor 5*m**2/3 - 1475*m + 8830/3.
5*(m - 883)*(m - 2)/3
Solve -f**3/2 - 28*f**2 - 161*f/2 - 53 = 0 for f.
-53, -2, -1
Find j, given that j**2/3 - j/3 - 2 = 0.
-2, 3
Factor 2*u**5 + 66*u**4 - 216*u**3.
2*u**3*(u - 3)*(u + 36)
Find p such that p**4 + 2*p**3 - 4*p**2 - 8*p = 0.
-2, 0, 2
Determine x, given that -4*x**4 - 4*x**3 + 16*x**2 + 16*x = 0.
-2, -1, 0, 2
Factor -c**3/4 + 43*c**2/4 - 247*c/4 - 1155/4.
-(c - 35)*(c - 11)*(c + 3)/4
Find b such that 3*b**2 - 453*b = 0.
0, 151
Factor 5*l**2 + 61280*l + 187761920.
5*(l + 6128)**2
Factor 45*f**2 + 48*f - 45.
3*(3*f + 5)*(5*f - 3)
Factor -18*a**2/19 + 70*a/19 + 8/19.
-2*(a - 4)*(9*a + 1)/19
Find j, given that -5*j**4/3 + 10*j**3/3 + 5*j**2 - 20*j/3 - 20/3 = 0.
-1, 2
Determine r so that -r**3/7 - 52*r**2/7 - 284*r/7 - 368/7 = 0.
-46, -4, -2
Factor 4*v**3 - 52*v**2/3 + 8*v/3 + 32/3.
4*(v - 4)*(v - 1)*(3*v + 2)/3
Factor 2*v**2 + 890*v + 888.
2*(v + 1)*(v + 444)
Factor 4*a**2 + 172*a.
4*a*(a + 43)
Find g, given that 2*g**3 - 6*g**2 - 210*g - 650 = 0.
-5, 13
What is l in 2*l**2/9 - 70*l/3 + 208/9 = 0?
1, 104
Factor -3*q**3 + 39*q**2 + 1443*q - 1479.
-3*(q - 29)*(q - 1)*(q + 17)
Factor 3*y**3/8 - 15*y**2/8 + 3*y - 3/2.
3*(y - 2)**2*(y - 1)/8
Let -4*g**3 + 168*g**2 - 1920*g + 3200 = 0. Calculate g.
2, 20
Find h, given that 3*h**3/7 + 3*h**2 - 3*h/7 - 3 = 0.
-7, -1, 1
Let 4*r**3 + 20*r**2 + 24*r = 0. Calculate r.
-3, -2, 0
What is p in 2*p**5/5 - 34*p**4/5 + 114*p**3/5 - 134*p**2/5 + 52*p/5 = 0?
0, 1, 2, 13
Factor -2*k**2 + 208*k/3 - 136/3.
-2*(k - 34)*(3*k - 2)/3
Solve -h**5/3 + 455*h**4/3 - 2707*h**3/3 + 5849*h**2/3 - 5392*h/3 + 1796/3 = 0 for h.
1, 2, 449
Solve 4*w**5 - 112*w**4/9 - 92*w**3/3 + 464*w**2/9 + 176*w/3 - 64/9 = 0.
-2, -1, 1/9, 2, 4
Find i, given that -4*i**4/5 - 14952*i**3/5 - 13957684*i**2/5 + 5592048*i - 2797520 = 0.
-1870, 1
Factor 2*i**3/13 - 244*i**2/13 - 1822*i/13 + 2064/13.
2*(i - 129)*(i - 1)*(i + 8)/13
Factor -3*a**2 - 2*a/3.
-a*(9*a + 2)/3
Find l such that l**3/2 + 11*l**2/2 + 39*l/2 + 45/2 = 0.
-5, -3
Factor -2*l**4/5 - 54*l**3/5 - 144*l**2/5.
-2*l**2*(l + 3)*(l + 24)/5
Factor 2*f**3/7 - 22*f**2/7 + 36*f/7.
2*f*(f - 9)*(f - 2)/7
Factor 3*r**3/5 - 12*r**2/5 + 3*r/5 + 18/5.
3*(r - 3)*(r - 2)*(r + 1)/5
Factor l**3 + 24*l**2 + 65*l + 42.
(l + 1)*(l + 2)*(l + 21)
Factor 3*v**4 + 81*v**3 - 171*v**2 + 87*v.
3*v*(v - 1)**2*(v + 29)
Let 3*s**4 + 42*s**3 - 204*s**2 + 216*s = 0. Calculate s.
-18, 0, 2
Factor -s**4/3 - 26*s**3/3 + 29*s**2/3 + 18*s.
-s*(s - 2)*(s + 1)*(s + 27)/3
Factor o**4/3 - 3*o**3 - 4*o**2 + 20*o/3.
o*(o - 10)*(o - 1)*(o + 2)/3
What is m in 2*m**4/11 - 38*m**3/11 + 54*m**2/11 + 2430*m/11 - 11664/11 = 0?
-8, 9
Factor -4*q**3 + 184*q**2 + 784*q + 800.
-4*(q - 50)*(q + 2)**2
Determine i, given that 5*i**4 - 65*i**3 - 20*i**2 + 1040*i - 960 = 0.
-4, 1, 4, 12
Factor 2*n**2/7 + 6*n - 44/7.
2*(n - 1)*(n + 22)/7
Factor 5*g**4/9 - 4*g**3 - 26*g**2/3 - 28*g/9 + 1.
(g - 9)*(g + 1)**2*(5*g - 1)/9
Let 4*m**4 + 204*m**3 - 212*m**2 - 204*m + 208 = 0. Calculate m.
-52, -1, 1
Factor 3*h**5/5 + 57*h**4/5 + 72*h**3 + 756*h**2/5.
3*h**2*(h + 6)**2*(h + 7)/5
Factor 53*o**4 + 528*o**3 + 616*o**2 - 3840*o + 144.
(o - 2)*(o + 6)**2*(53*o - 2)
Suppose -2*l**3/7 + 72*l**2/7 + 74*l/7 = 0. Calculate l.
-1, 0, 37
Factor 4*j**3 - 16*j**2 - 240*j + 1152.
4*(j - 6)**2*(j + 8)
Let 112*x**5 - 52*x**4 - 1060*x**3 + 460*x**2 + 468*x + 72 = 0. What is x?
-3, -2/7, -1/4, 1, 3
Find r such that 2*r**4/15 + 2*r**3/3 - 14*r**2/5 + 46*r/15 - 16/15 = 0.
-8, 1
What is x in 2*x**2 + 100*x - 102 = 0?
-51, 1
What is t in 3*t**2 + 60*t + 57 = 0?
-19, -1
Suppose -d**3/4 + 9*d**2 - 108*d + 432 = 0. What is d?
12
Find l, given that 4*l**2 + 232*l + 3364 = 0.
-29
Factor 10*m**4 - 45*m**3 - 30*m**2 + 25*m.
5*m*(m - 5)*(m + 1)*(2*m - 1)
Factor -x**4 - 4*x**3 + x**2 + 4*x.
-x*(x - 1)*(x + 1)*(x + 4)
Find y such that 25*y**5/4 - 145*y**4/2 + 955*y**3/4 - 535*y**2/2 + 25*y + 70 = 0.
-2/5, 1, 2, 7
Determine v so that 4*v**5/15 + 14*v**4/15 - 4*v**3/5 - 62*v**2/15 - 16*v/15 + 8/5 = 0.
-3, -2, -1, 1/2, 2
Find b, g