u**2/2 + 106*u - 5618.
-(u - 106)**2/2
Let 100*h**4 - 1720*h**3 + 1956*h**2 - 576*h = 0. What is h?
0, 3/5, 16
Suppose -j**3 + 5*j**2 + 4*j - 20 = 0. What is j?
-2, 2, 5
Suppose 18*w**5 - 94*w**4 - 1222*w**3 + 6198*w**2 + 5740*w - 1568 = 0. Calculate w.
-8, -1, 2/9, 7
Determine n, given that -2*n**3/3 - 15*n**2/2 - 107*n/6 - 4 = 0.
-8, -3, -1/4
Suppose y**2 + 92*y = 0. What is y?
-92, 0
Find p, given that 2*p**3/21 - 4*p**2/21 - 40*p/21 - 16/7 = 0.
-2, 6
Determine g, given that -4*g**3 - 164*g**2 + 168*g = 0.
-42, 0, 1
Let 2*f**2/11 - 16*f/11 + 32/11 = 0. What is f?
4
Factor 20*k**3 - 11605*k**2 + 2900*k.
5*k*(k - 580)*(4*k - 1)
Factor 2*x**2/11 + 4*x/11 - 6/11.
2*(x - 1)*(x + 3)/11
Factor -z**2/8 + 3*z/2 + 13/8.
-(z - 13)*(z + 1)/8
Factor -y**3/6 + 1239*y**2/2 - 1535121*y/2 + 634004973/2.
-(y - 1239)**3/6
Find p, given that 72*p**4 - 872*p**3/3 + 1166*p**2/3 - 176*p + 6 = 0.
1/27, 1, 3/2
Find m such that -2*m**4/5 - 174*m**3/5 - 5208*m**2/5 - 58016*m/5 - 131712/5 = 0.
-28, -3
Let -2*r**4/3 - 50*r**3/3 - 214*r**2/3 - 286*r/3 - 40 = 0. Calculate r.
-20, -3, -1
Find j such that 2*j**3/13 + 12*j**2/13 - 30*j/13 + 16/13 = 0.
-8, 1
Find i, given that -4*i**4 + 160*i**3 + 1256*i**2 + 2784*i + 1692 = 0.
-3, -1, 47
Solve 17*t**3/3 - 104*t**2/3 + 55*t - 6 = 0.
2/17, 3
Factor -s**3/3 + 43*s**2/3 + 30*s.
-s*(s - 45)*(s + 2)/3
Factor -2*w**2 + 62*w.
-2*w*(w - 31)
Factor -106*w**3/11 - 206*w**2/11 - 94*w/11 + 6/11.
-2*(w + 1)**2*(53*w - 3)/11
Determine f so that 8*f**5 - 276*f**4 + 904*f**3 - 1136*f**2 + 624*f - 124 = 0.
1/2, 1, 31
Factor 3*b**2 - 48*b + 165.
3*(b - 11)*(b - 5)
Solve -a**3/4 + 27*a**2/4 - 23*a = 0 for a.
0, 4, 23
Factor 8*v**3 - 15*v**2 - 7*v/2 + 3.
(v - 2)*(2*v + 1)*(8*v - 3)/2
Suppose -2*s**3/3 - 10*s**2/3 - 2*s + 6 = 0. What is s?
-3, 1
Solve 5*b**4/3 - 125*b**3/3 - 5*b**2/3 + 125*b/3 = 0 for b.
-1, 0, 1, 25
Let -53*t**5/6 + 112*t**4/3 - 130*t**3/3 + 8*t**2 = 0. Calculate t.
0, 12/53, 2
Find m, given that 3*m**2 + 14784*m + 18213888 = 0.
-2464
Factor -5*t**3 - 105*t**2 + 1800*t + 38000.
-5*(t - 19)*(t + 20)**2
Determine x so that 4*x**2 + 456*x + 12996 = 0.
-57
Determine p, given that -p**2/4 + 16*p = 0.
0, 64
Factor 4*b**4 - 40*b**3 + 52*b**2 + 240*b + 144.
4*(b - 6)**2*(b + 1)**2
What is i in 27*i**3/8 - 51*i**2/4 - 87*i/2 - 9 = 0?
-2, -2/9, 6
Factor 2*c**3 + 42*c**2 + 190*c - 234.
2*(c - 1)*(c + 9)*(c + 13)
Factor 3*z**3/4 + 153*z**2/4 + 75*z/2.
3*z*(z + 1)*(z + 50)/4
What is l in 3*l**4/7 - 201*l**3/7 + 585*l**2/7 - 579*l/7 + 192/7 = 0?
1, 64
Factor -o**2/4 - 4*o - 55/4.
-(o + 5)*(o + 11)/4
Solve -2*y**5/7 + 4*y**4 + 96*y**3/7 + 100*y**2/7 + 34*y/7 = 0 for y.
-1, 0, 17
Factor o**3 - 171*o**2 + 7560*o - 21168.
(o - 84)**2*(o - 3)
Suppose -s**2 + 12*s + 13 = 0. What is s?
-1, 13
Factor -2*u**3/7 - 18*u**2/7.
-2*u**2*(u + 9)/7
Factor 2*v**4/5 + 354*v**3/5 + 16182*v**2/5 + 45414*v/5.
2*v*(v + 3)*(v + 87)**2/5
Find h such that 14*h**4 - 138*h**3 + 372*h**2 - 280*h - 48 = 0.
-1/7, 2, 6
Find g such that g**2/6 + g/2 + 1/3 = 0.
-2, -1
Solve 7*a**3/6 + 64*a**2/3 + 155*a/6 + 17/3 = 0 for a.
-17, -1, -2/7
Determine t, given that 2*t**5/13 - 18*t**4/13 - 2*t**3/13 + 18*t**2/13 = 0.
-1, 0, 1, 9
Find x such that -4*x**4 + 76*x**3 - 404*x**2 + 596*x - 264 = 0.
1, 6, 11
Determine h, given that -5*h**5 + 80*h**4 - 235*h**3 - 80*h**2 + 240*h = 0.
-1, 0, 1, 4, 12
Factor 11*c**4 - 35*c**3 - 93*c**2 - 37*c + 10.
(c - 5)*(c + 1)**2*(11*c - 2)
Let -x**5/4 + 9*x**3/4 = 0. What is x?
-3, 0, 3
Factor 4*a**4/3 + 304*a**3/3 + 5464*a**2/3 - 3952*a + 2028.
4*(a - 1)**2*(a + 39)**2/3
Factor 10*f**5 - 16*f**4 - 128*f**3 + 352*f**2 - 160*f - 128.
2*(f - 2)**3*(f + 4)*(5*f + 2)
Find j such that j**2 - 3450*j + 2975625 = 0.
1725
Solve h**4 - h**3 - 56*h**2 - 144*h = 0.
-4, 0, 9
Solve -u**2/4 + 537*u/4 = 0.
0, 537
Suppose -2*u**2/5 + 5984*u/5 - 4476032/5 = 0. Calculate u.
1496
Factor -2*n**2 - 3028*n - 1146098.
-2*(n + 757)**2
Factor 4*m**2 + 168*m + 740.
4*(m + 5)*(m + 37)
Determine d, given that -52*d**3/5 - 1988*d**2/5 - 19228*d/5 - 4332/5 = 0.
-19, -3/13
Suppose -3*z**5/5 + 30*z**4 + 156*z**3/5 - 30*z**2 - 153*z/5 = 0. Calculate z.
-1, 0, 1, 51
Factor -5*h**2 - 4020*h - 808020.
-5*(h + 402)**2
Factor j**2 - 149*j - 302.
(j - 151)*(j + 2)
Solve -3*l**5/2 + 1991*l**4/6 - 6355*l**3/6 + 2403*l**2/2 - 1636*l/3 + 218/3 = 0 for l.
2/9, 1, 218
Factor -g**4 - g**3 + 3*g**2 + 5*g + 2.
-(g - 2)*(g + 1)**3
Find h such that -2*h**4 + 26*h**3 - 14*h**2 - 114*h - 72 = 0.
-1, 3, 12
Factor d**4 - 3*d**3 - 3*d**2 + 7*d + 6.
(d - 3)*(d - 2)*(d + 1)**2
Let -15*o**4 + 475*o**3 + 175*o**2 - 475*o - 160 = 0. What is o?
-1, -1/3, 1, 32
Let 3*c**2/8 + 363*c/4 + 43923/8 = 0. Calculate c.
-121
Factor -v**4/8 + 171*v**3/8 - 339*v**2/8 + 169*v/8.
-v*(v - 169)*(v - 1)**2/8
Factor 10*l**3/9 + 52*l**2/9 + 70*l/9 + 4/3.
2*(l + 2)*(l + 3)*(5*l + 1)/9
Factor -c**3/2 + 615*c**2/2 - 91083*c/2 - 1077659/2.
-(c - 313)**2*(c + 11)/2
Find t, given that -2*t**5 - 34*t**4 + 82*t**3 + 114*t**2 = 0.
-19, -1, 0, 3
Determine o, given that 2*o**5/5 - 96*o**4/5 + 1654*o**3/5 - 2512*o**2 + 7800*o - 5600 = 0.
1, 7, 10, 20
Factor 3*s**5/7 - 6*s**4/7 - 78*s**3/7 - 24*s**2 - 141*s/7 - 6.
3*(s - 7)*(s + 1)**3*(s + 2)/7
Solve 14*t**3 - 24*t**2 - 170*t - 132 = 0 for t.
-2, -1, 33/7
Find g, given that g**4/5 + 18*g**3 + 1377*g**2/5 + 5832*g/5 = 0.
-72, -9, 0
Factor 16*a**2/7 + 12276*a/7 + 3068/7.
4*(a + 767)*(4*a + 1)/7
Determine j, given that -125*j**5 + 4275*j**4/7 + 11870*j**3/7 + 7592*j**2/7 - 96*j/7 - 128 = 0.
-4/5, 2/7, 7
Find m, given that 4*m**2 + 124*m + 736 = 0.
-23, -8
Solve -2*o**2/5 - 406*o/5 = 0 for o.
-203, 0
Solve r**5 - 14*r**4 - 3*r**3 + 44*r**2 - 28*r = 0 for r.
-2, 0, 1, 14
Factor 5*g**4 - 150*g**3 + 1520*g**2 - 5610*g + 4235.
5*(g - 11)**2*(g - 7)*(g - 1)
Determine b, given that -b**3 + 40*b**2 + 588*b + 1872 = 0.
-6, 52
Suppose 14*m**5/5 + 178*m**4/5 + 110*m**3 + 38*m**2/5 - 1068*m/5 + 288/5 = 0. Calculate m.
-8, -3, 2/7, 1
What is g in 2*g**5/9 - 260*g**4/9 + 11600*g**3/9 - 21280*g**2 + 70560*g - 65856 = 0?
2, 42
Find a such that -3*a**4 + 33*a**3 + 39*a**2 - 33*a - 36 = 0.
-1, 1, 12
Determine g, given that -2*g**2/15 + 62*g/15 = 0.
0, 31
Let 2*w**4/7 - 974*w**3/7 + 1938*w**2/7 + 974*w/7 - 1940/7 = 0. Calculate w.
-1, 1, 2, 485
Suppose 2*g**4/3 + 70*g**3/3 - 154*g**2/3 - 74*g = 0. What is g?
-37, -1, 0, 3
Suppose -2*n**3 + 160*n**2 + 326*n + 164 = 0. Calculate n.
-1, 82
Factor f**4/5 - 4*f**3/5 - 12*f**2.
f**2*(f - 10)*(f + 6)/5
Determine j so that j**2/7 + 38*j/7 - 1320/7 = 0.
-60, 22
Factor 5*v**2 + 560*v.
5*v*(v + 112)
Suppose -b**4/5 + 52*b**3/5 - 622*b**2/5 - 1404*b/5 - 729/5 = 0. What is b?
-1, 27
Let -3*v**2 - 11238*v + 11241 = 0. What is v?
-3747, 1
Factor 6*z**2 + 3189*z/2 - 399.
3*(z + 266)*(4*z - 1)/2
Factor 5*x**4 + 6055*x**3 + 1836175*x**2 + 1830125*x.
5*x*(x + 1)*(x + 605)**2
Let m**3/5 + 14*m**2/5 - m/5 - 14/5 = 0. What is m?
-14, -1, 1
Let l**3/2 + 701*l**2/2 - l/2 - 701/2 = 0. What is l?
-701, -1, 1
Factor 45*t**3 + 591*t**2 + 1880*t - 400.
(3*t + 20)**2*(5*t - 1)
Find p, given that -2*p**5 + 146*p**4 - 3734*p**3 + 37582*p**2 - 110032*p + 97336 = 0.
2, 23
Determine i, given that 2*i**4/5 + 176*i**3/5 + 3692*i**2/5 - 1584*i + 810 = 0.
-45, 1
Find t such that t**5/2 + t**4/2 - 3*t**3 - 2*t**2 + 4*t = 0.
-2, 0, 1, 2
Find v, given that 28*v**4 - 432*v**3 + 1524*v**2 + 1216*v - 768 = 0.
-1, 3/7, 8
Factor 8*s**3 - 12*s**2 - 92*s + 48.
4*(s - 4)*(s + 3)*(2*s - 1)
Determine y so that -y**2/4 + y/4 + 3/2 = 0.
-2, 3
Factor s**3/2 + 723*s**2/2 - 1452*s + 1454.
(s - 2)**2*(s + 727)/2
Factor f**2/6 - 58*f/3 - 119/2.
(f - 119)*(f + 3)/6
Factor -y**2/5 + 44*y/5 - 84/5.
-(y - 42)*(y - 2)/5
Factor 4*o**2/15 + 2*o/3 - 8/5.
2*(o + 4)*(2*o - 3)/15
Factor -6*r**4/7 - 590*r**3/7 - 19206*r**2/7 - 202554*r/7 + 143748/7.
-2*(r + 33)**3*(3*r - 2)/7
Solve -2*o**4/7 + 108*o**3/7 - 2112*o**2/7 + 17908*o/7 - 7986 = 0 for o.
11, 21
Factor -z**2/4 + 3*z - 11/4.
-(z - 11)*(z - 1)/4
Let 4*c**4/9 - 68*c**3/9 + 28*c**2 + 36*c = 0. What is c?
-1, 0, 9
Let -2*z**3 + 290*z**2 - 9750*z - 56250 = 0. What is z?
-5, 75
Solve 15*a**4 + 970*a**3 = 0.
-194/3, 0
Determine g, given that -4*g**3/3 - 76*g**2/3 + 352*g/3 - 368/3 = 0.
-23, 2
Let -2*k**5 - 44*k**4 + 238*k**3 + 6936*k**2 = 0. What is k?
-17, 0, 12
What is z in -5