-16/3, -1/4, 0
Solve -3*h**2 - 51*h + 2220 = 0.
-37, 20
Factor 2*x**2 + 4*x - 48.
2*(x - 4)*(x + 6)
Find k, given that -4*k**5 - 68*k**4 - 252*k**3 + 196*k**2 + 656*k - 528 = 0.
-11, -6, -2, 1
Factor k**4/5 + 93*k**3/5 + 2673*k**2/5 + 3267*k - 215622/5.
(k - 6)*(k + 33)**3/5
Let -r**3/3 + 8*r**2/3 + 3*r = 0. Calculate r.
-1, 0, 9
Determine s so that -s**3 + 1364*s**2 - 463757*s - 932978 = 0.
-2, 683
Let -9*p**4/8 + 33*p**3/4 + 3*p**2/8 - 39*p/2 - 21/2 = 0. Calculate p.
-1, -2/3, 2, 7
Factor 16*i**2/5 + 84*i/5 + 4.
4*(i + 5)*(4*i + 1)/5
Suppose -5*k**2 + 70*k - 200 = 0. Calculate k.
4, 10
Factor -l**2/9 + 34*l/3 - 101/9.
-(l - 101)*(l - 1)/9
Solve q**2 + 2*q - 3 = 0.
-3, 1
Let -2*m**4 + 164*m**3 + 174*m**2 - 656*m - 664 = 0. What is m?
-2, -1, 2, 83
Suppose -2*w**4/17 - 2*w**3/17 + 42*w**2/17 + 82*w/17 + 40/17 = 0. Calculate w.
-4, -1, 5
Factor -a**3 + 7*a**2 + 4*a - 28.
-(a - 7)*(a - 2)*(a + 2)
Determine w, given that -15*w**3/2 + 294*w**2 + 507*w/2 - 540 = 0.
-9/5, 1, 40
Determine a so that -a**4/4 - 5*a**3/4 + 17*a**2/4 + 21*a/4 = 0.
-7, -1, 0, 3
Factor o**3/4 + 3375*o**2/2 + 3796875*o + 2847656250.
(o + 2250)**3/4
Factor 2*k**4/9 - 8*k**3/9 - 224*k**2 + 39200*k/9 - 208544/9.
2*(k - 14)**3*(k + 38)/9
Suppose a**2/6 + 67*a/3 - 45/2 = 0. Calculate a.
-135, 1
Factor -s**4/2 + 2*s**3 + 9*s**2 + 10*s + 7/2.
-(s - 7)*(s + 1)**3/2
Determine i, given that 3*i**2 + 237*i = 0.
-79, 0
Factor -2*c**3 + 65*c**2 - 512*c + 240.
-(c - 20)*(c - 12)*(2*c - 1)
Factor -3*q**2 + 2129*q - 1418.
-(q - 709)*(3*q - 2)
Factor -3*z**5 + 32*z**4 - 286*z**3/3 + 160*z**2/3 - 25*z/3.
-z*(z - 5)**2*(3*z - 1)**2/3
Solve -4*y**4 + 52*y**3 - 100*y**2 - 372*y - 216 = 0.
-1, 6, 9
Factor -5*z**2 + 320*z - 5120.
-5*(z - 32)**2
Solve -a**5/4 - 4*a**4 - 16*a**3 = 0.
-8, 0
Determine l, given that 3*l**5/5 - 3*l**4/5 - 51*l**3/5 - 9*l**2 = 0.
-3, -1, 0, 5
Find d, given that 2*d**5/5 + 2*d**4/5 - 10*d**3 - 2*d**2/5 + 336*d/5 - 288/5 = 0.
-4, 1, 3
Find v such that -v**3/5 - 3*v**2 - 32*v/5 + 48/5 = 0.
-12, -4, 1
Factor 3*p**3 - 3*p**2 - 15*p - 9.
3*(p - 3)*(p + 1)**2
Factor 4*c**2 - 297*c/2 - 585/2.
(c - 39)*(8*c + 15)/2
Solve -p**3/9 + 116*p**2/9 - 3685*p/9 + 6050/3 = 0 for p.
6, 55
Let -3*m**2/5 + 39*m/5 - 36/5 = 0. What is m?
1, 12
Factor -f**3 + 3550*f**2 - 3150625*f.
-f*(f - 1775)**2
Factor -2*u**4 + 106*u**3 - 198*u**2 - 306*u.
-2*u*(u - 51)*(u - 3)*(u + 1)
What is y in -5*y**4 - 390*y**3 - 7440*y**2 - 54400*y - 138240 = 0?
-54, -8
What is v in -2*v**2/15 + 64*v/15 - 62/15 = 0?
1, 31
What is n in n**5/8 - n**4/8 = 0?
0, 1
Suppose -3*u**2 - 18*u - 15 = 0. Calculate u.
-5, -1
Suppose 5*a**4 - 110*a**3 + 475*a**2 + 110*a - 480 = 0. What is a?
-1, 1, 6, 16
Factor -5*b**3 + 45*b**2 - 120*b + 100.
-5*(b - 5)*(b - 2)**2
Let 2*f**5/13 - 8*f**4/13 + 2*f**3/13 + 20*f**2/13 - 8*f/13 - 16/13 = 0. What is f?
-1, 2
Determine a, given that 3*a**2/7 + 12216*a/7 + 12435888/7 = 0.
-2036
Determine p so that -4*p**2/3 - 140*p + 424/3 = 0.
-106, 1
Suppose -b**3/3 + 19*b**2 + 58*b/3 = 0. Calculate b.
-1, 0, 58
Solve -2*w**3/3 + 2*w**2/3 + 20*w/3 + 16/3 = 0.
-2, -1, 4
Find m, given that 15*m**2 - 635*m - 430 = 0.
-2/3, 43
Solve -w**2/7 - 7*w - 42 = 0 for w.
-42, -7
Factor 3*t**4 - 18*t**3 - 45*t**2 - 24*t.
3*t*(t - 8)*(t + 1)**2
Solve 2*w**2 - 108*w - 110 = 0 for w.
-1, 55
Let -2*x**5/9 - 16*x**4/9 + 40*x**3/9 - 4*x**2/9 - 38*x/9 + 20/9 = 0. What is x?
-10, -1, 1
Factor -6*u**4 + 26*u**3 - 16*u**2 - 24*u.
-2*u*(u - 3)*(u - 2)*(3*u + 2)
Find s, given that 3*s**3 - 1419*s**2 - 2850*s = 0.
-2, 0, 475
Solve 18*w**4/7 + 57*w**3/7 - 108*w**2/7 - 21*w + 180/7 = 0 for w.
-4, -5/3, 1, 3/2
Factor 25*f**4 - 295*f**3 + 215*f**2 + 55*f.
5*f*(f - 11)*(f - 1)*(5*f + 1)
Factor 2*f**2/3 - 8*f/3 - 168.
2*(f - 18)*(f + 14)/3
Factor -3*r**2/4 + 9*r + 135/4.
-3*(r - 15)*(r + 3)/4
What is w in -10*w**4/9 - 154*w**3/9 - 20*w**2 + 232*w/9 + 112/9 = 0?
-14, -2, -2/5, 1
Find f such that -35*f**4 - 11960*f**3 + 51720*f**2 - 62240*f + 13840 = 0.
-346, 2/7, 2
Factor b**3/3 - 23*b**2/3 - 49*b/3 - 25/3.
(b - 25)*(b + 1)**2/3
Factor -w**5 + 12*w**4 - 20*w**3 - 2*w**2 + 21*w - 10.
-(w - 10)*(w - 1)**3*(w + 1)
Suppose b**2 - 7*b/3 + 2/3 = 0. What is b?
1/3, 2
Factor 4*r**2 - 5480*r + 1876900.
4*(r - 685)**2
What is w in 2*w**3/7 + 50*w**2/7 - 106*w/7 + 54/7 = 0?
-27, 1
Suppose -2*z**2/11 - 884*z/11 + 1776/11 = 0. What is z?
-444, 2
Factor c**3 - 54*c**2 + 104*c.
c*(c - 52)*(c - 2)
Suppose 7*b**2/10 + 328*b/5 - 94/5 = 0. What is b?
-94, 2/7
Find y such that -38*y**5 - 40*y**4 + 112*y**3 + 44*y**2 - 74*y - 4 = 0.
-2, -1, -1/19, 1
What is y in 2*y**5/11 - 12*y**4/11 - 270*y**3/11 - 800*y**2/11 = 0?
-5, 0, 16
Let 2*o**4 + 22*o**3 - 186*o**2 + 306*o = 0. What is o?
-17, 0, 3
Factor 2*a**3/21 + 520*a**2/21 + 33800*a/21.
2*a*(a + 130)**2/21
Determine h so that 5*h**2 + 1615*h - 8200 = 0.
-328, 5
What is z in -4*z**3 + 4*z**2 + 40*z + 32 = 0?
-2, -1, 4
Factor 5*p**3/2 - 115*p**2 + 1430*p - 2420.
5*(p - 22)**2*(p - 2)/2
Suppose -45*n**2 - 9910*n - 2200 = 0. Calculate n.
-220, -2/9
Determine h so that -h**2 - 1932*h + 1933 = 0.
-1933, 1
Determine p, given that -5*p**2/2 + 55*p + 260 = 0.
-4, 26
Solve b**3/2 + 107*b**2 + 5616*b - 11664 = 0 for b.
-108, 2
Factor 3*d**4 - 87*d**3 - 93*d**2 + 87*d + 90.
3*(d - 30)*(d - 1)*(d + 1)**2
Determine b, given that -b**4 + 12*b**3 + 27*b**2 + 14*b = 0.
-1, 0, 14
Suppose -s**2 - 109*s - 214 = 0. Calculate s.
-107, -2
Solve 2*i**2 + 12*i + 10 = 0.
-5, -1
Factor 3*m**3 - 15*m**2 + 21*m - 9.
3*(m - 3)*(m - 1)**2
Suppose -5*d**3 - 3330*d**2 + 26880*d - 53920 = 0. Calculate d.
-674, 4
Factor 3*n**3 + 6*n**2 + 3*n.
3*n*(n + 1)**2
Factor 2*w**2 - 78*w - 164.
2*(w - 41)*(w + 2)
Let -h**2 + 5*h - 4 = 0. Calculate h.
1, 4
Let -2*p**5/7 + 122*p**4/7 - 98*p**3 + 1454*p**2/7 - 1328*p/7 + 440/7 = 0. Calculate p.
1, 2, 55
Determine i, given that 3*i**3 - 231*i**2 - 471*i - 237 = 0.
-1, 79
Factor l**5 + 25*l**4 - 29*l**3 - 73*l**2 + 128*l - 52.
(l - 1)**3*(l + 2)*(l + 26)
Let 5*r**3 + 115*r**2 + 600*r - 720 = 0. What is r?
-12, 1
Factor 2*h**4/3 - 80*h**3 + 3600*h**2 - 72000*h + 540000.
2*(h - 30)**4/3
Determine i so that 2*i**2/3 + 5804*i/3 + 4210802/3 = 0.
-1451
Factor 3*f**3/4 - 39*f**2/4 + 15*f + 75.
3*(f - 10)*(f - 5)*(f + 2)/4
Factor x**5/3 - 43*x**3/3 + 14*x**2.
x**2*(x - 6)*(x - 1)*(x + 7)/3
Factor 4*s**4/3 + 44*s**3 + 124*s**2 + 364*s/3 + 40.
4*(s + 1)**3*(s + 30)/3
Factor -12*k**2 + 357*k + 90.
-3*(k - 30)*(4*k + 1)
Let -3*d**2/4 - 1767*d - 1040763 = 0. What is d?
-1178
Factor 18*s**4 + 98*s**3 + 148*s**2 + 48*s.
2*s*(s + 2)*(s + 3)*(9*s + 4)
Factor 4*k**3/3 + 184*k**2/3 + 352*k/3.
4*k*(k + 2)*(k + 44)/3
Factor n**5/4 - 4*n**4 - 35*n**3/4 - 9*n**2/2.
n**2*(n - 18)*(n + 1)**2/4
Factor -4*j**5 - 172*j**4 - 1576*j**3 + 5800*j**2 - 6164*j + 2116.
-4*(j - 1)**3*(j + 23)**2
Find k, given that -k**2/2 + 27*k + 295/2 = 0.
-5, 59
Factor -578*c**2 - 816*c - 288.
-2*(17*c + 12)**2
Solve -j**2/2 + 53*j/2 - 98 = 0 for j.
4, 49
Factor 4*i**4/5 + 36*i**3/5 + 16*i**2 + 48*i/5.
4*i*(i + 1)*(i + 2)*(i + 6)/5
Suppose -28*r**2 + 5288*r + 756 = 0. Calculate r.
-1/7, 189
Factor z**2/4 + 5*z/2 - 11/4.
(z - 1)*(z + 11)/4
Suppose -2*k**2/5 + 32*k/5 - 96/5 = 0. What is k?
4, 12
Solve -2*f**4/9 - 26*f**3/9 - 82*f**2/9 - 94*f/9 - 4 = 0.
-9, -2, -1
Solve 2*h**5/9 - 28*h**4 + 2560*h**3/3 + 16384*h**2/9 = 0.
-2, 0, 64
Find s such that -s**3/3 - 28*s**2 + s/3 + 28 = 0.
-84, -1, 1
Factor 4*z**4 - 104*z**3 + 436*z**2 + 3120*z + 3600.
4*(z - 15)**2*(z + 2)**2
Factor -5*f**2 + 690*f + 695.
-5*(f - 139)*(f + 1)
Factor r**3/2 - 203*r**2/2 + 5100*r + 5202.
(r - 102)**2*(r + 1)/2
Factor -h**2/4 + 3*h + 7.
-(h - 14)*(h + 2)/4
Solve -3*i**5/4 - 63*i**4/4 - 387*i**3/4 - 813*i**2/4 - 351*i/2 - 54 = 0 for i.
-12, -6, -1
Factor 36*y**3 - 516*y**2 + 1564*y + 2116.
4*(y + 1)*(3*y - 23)**2
Determine x, given that -20*x**2 - 15*x + 5 = 0.
-1, 1/4
Factor x**3/4 + 61*x**2/4 + 180*x.
x*(x + 16)*(x + 45)/4
Solve -r**2 + 157*r - 1192 = 0.
8, 149
Let 41*d**3/5 + 12*d**2/5 - 41*d/5 - 12/5 = 0. What is d?
-1, -12/41, 1
Suppose 18*i**4/17 - 92*i**3/17 - 8*i**2/17 + 92*i/17 - 10/17 = 0. What is i?
-1, 1/9, 1, 5
Determine l so that -90*l**5 + 1174*l**4 - 4192*l**3 + 1264*l**2 + 6432*l - 288 = 0.
-1, 2/45, 2, 6
Factor 4*u**3 + 8*u**2 - 4*u - 8.
4*(u - 1)*(u + 1)*(u + 2)
